{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# HDF-N master catalogue\n",
    "## Preparation of Hawaii-HDFN data\n",
    "\n",
    "The catalogue comes from `dmu0_Hawaii-HDFN`.\n",
    "\n",
    "It contains UBVRIz data.\n",
    "\n",
    "In the catalogue, we keep:\n",
    "\n",
    "- The identifier (it's unique in the catalogue);\n",
    "- The position;\n",
    "- The stellarity;\n",
    "- The kron magnitude, there doesn't appear to be aperture magnitudes. This may mean the survey is unusable.\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",
      "0246c5d (Thu Jan 25 17:01:47 2018 +0000) [with local modifications]\n"
     ]
    }
   ],
   "source": [
    "from herschelhelp_internal import git_version\n",
    "print(\"This notebook was run with herschelhelp_internal version: \\n{}\".format(git_version()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": 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, vstack\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, nb_merge_dist_plot\n",
    "from herschelhelp_internal.utils import astrometric_correction, flux_to_mag, mag_to_flux"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": 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 = \"hawaii_ra\"\n",
    "DEC_COL = \"hawaii_dec\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## I - Column selection"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<Table length=10>\n",
       "<table id=\"table140683614240840-731112\" class=\"table-striped table-bordered table-condensed\">\n",
       "<thead><tr><th>idx</th><th>ID</th><th>RA</th><th>DEC</th><th>x[0]</th><th>x[1]</th><th>Ufwhm</th><th>Ue[0]</th><th>Ue[1]</th><th>Bfwhm</th><th>Be[0]</th><th>Be[1]</th><th>Vfwhm</th><th>Ve[0]</th><th>Ve[1]</th><th>Rfwhm</th><th>Re[0]</th><th>Re[1]</th><th>Ifwhm</th><th>Ie[0]</th><th>Ie[1]</th><th>Zfwhm</th><th>Ze[0]</th><th>Ze[1]</th><th>HKfwhm</th><th>HKe[0]</th><th>HKe[1]</th><th>Uaperflux</th><th>dUaperflux</th><th>Ubkg</th><th>Uisoflux</th><th>dUisoflux</th><th>Uisobkg</th><th>Baperflux</th><th>dBaperflux</th><th>Bbkg</th><th>Bisoflux</th><th>dBisoflux</th><th>Bisobkg</th><th>Vaperflux</th><th>dVaperflux</th><th>Vbkg</th><th>Visoflux</th><th>dVisoflux</th><th>Visobkg</th><th>Raperflux</th><th>dRaperflux</th><th>Rbkg</th><th>Risoflux</th><th>dRisoflux</th><th>Risobkg</th><th>Iaperflux</th><th>dIaperflux</th><th>Ibkg</th><th>Iisoflux</th><th>dIisoflux</th><th>Iisobkg</th><th>Zaperflux</th><th>dZaperflux</th><th>Zbkg</th><th>Zisoflux</th><th>dZisoflux</th><th>Zisobkg</th><th>HKaperflux</th><th>dHKaperflux</th><th>HKbkg</th><th>HKisoflux</th><th>dHKisoflux</th><th>HKisobkg</th><th>U</th><th>dU</th><th>Uiso</th><th>dUiso</th><th>B</th><th>dB</th><th>Biso</th><th>dBiso</th><th>V</th><th>dV</th><th>Viso</th><th>dViso</th><th>R</th><th>dR</th><th>Riso</th><th>dRiso</th><th>I</th><th>dI</th><th>Iiso</th><th>dIiso</th><th>Z</th><th>dZ</th><th>Ziso</th><th>dZiso</th><th>HK</th><th>dHK</th><th>HKiso</th><th>dHKiso</th><th>bad</th><th>Usat</th><th>Bsat</th><th>Vsat</th><th>Rsat</th><th>Isat</th><th>Zsat</th><th>HKsat</th><th>N</th></tr></thead>\n",
       "<tr><td>0</td><td>386</td><td>189.55903</td><td>61.96553</td><td>2671.465</td><td>1792.146</td><td>0.0</td><td>0.5848</td><td>0.5266</td><td>3.328</td><td>0.5848</td><td>0.5266</td><td>3.328</td><td>0.5848</td><td>0.5266</td><td>2.066</td><td>0.5848</td><td>0.5266</td><td>1.822</td><td>0.5848</td><td>0.5266</td><td>1.828</td><td>0.5848</td><td>0.5266</td><td>0.0</td><td>0.5848</td><td>0.5266</td><td>186.48803</td><td>24.941872</td><td>0.044896</td><td>132.4685</td><td>22.220602</td><td>0.037391</td><td>172.83813</td><td>20.483855</td><td>0.035884</td><td>151.8612</td><td>15.25858</td><td>0.060688</td><td>196.12702</td><td>32.41374</td><td>-0.06002</td><td>211.45136</td><td>24.814562</td><td>0.026841</td><td>310.43013</td><td>27.745662</td><td>0.176284</td><td>257.04278</td><td>21.194017</td><td>0.143791</td><td>340.54061</td><td>62.782756</td><td>-0.030993</td><td>303.45514</td><td>39.264866</td><td>0.14627</td><td>758.16762</td><td>94.126535</td><td>0.339576</td><td>680.94821</td><td>66.176116</td><td>0.318273</td><td>-99.0</td><td>0.0</td><td>-4.61169e+18</td><td>-99.0</td><td>0.0</td><td>-4.61169e+18</td><td>25.723373</td><td>0.14521159</td><td>26.094718</td><td>0.18212436</td><td>25.805901</td><td>0.12867579</td><td>25.946383</td><td>0.10908167</td><td>25.709656</td><td>0.17943869</td><td>25.667974</td><td>0.12741512</td><td>25.17009</td><td>0.097040879</td><td>25.374986</td><td>0.089522499</td><td>25.069578</td><td>0.20016823</td><td>25.194764</td><td>0.14048652</td><td>24.200587</td><td>0.13479453</td><td>24.317215</td><td>0.1055142</td><td>-99.0596</td><td>0.0</td><td>-99.0</td><td>0.0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr>\n",
       "<tr><td>1</td><td>389</td><td>189.64881</td><td>61.964594</td><td>2165.028</td><td>1783.8416</td><td>0.0</td><td>0.7762</td><td>0.6422</td><td>2.9</td><td>0.7762</td><td>0.6422</td><td>2.266</td><td>0.7762</td><td>0.6422</td><td>1.352</td><td>0.7762</td><td>0.6422</td><td>1.152</td><td>0.7762</td><td>0.6422</td><td>1.214</td><td>0.7762</td><td>0.6422</td><td>0.0</td><td>0.7762</td><td>0.6422</td><td>343.06872</td><td>28.467733</td><td>-0.057943</td><td>307.5864</td><td>30.982559</td><td>-0.048257</td><td>444.64608</td><td>34.16004</td><td>-0.000789</td><td>428.55247</td><td>22.703589</td><td>0.09788</td><td>708.90213</td><td>43.219031</td><td>0.11646</td><td>739.1745</td><td>38.626473</td><td>0.240301</td><td>1223.7051</td><td>38.671083</td><td>0.826943</td><td>1129.2549</td><td>34.338951</td><td>0.726486</td><td>1393.4559</td><td>85.950157</td><td>1.100461</td><td>1497.5464</td><td>56.465918</td><td>0.211036</td><td>1585.405</td><td>117.50981</td><td>2.046424</td><td>1569.5686</td><td>95.716626</td><td>1.197774</td><td>-99.0</td><td>0.0</td><td>-4.61169e+18</td><td>-99.0</td><td>0.0</td><td>-4.61169e+18</td><td>25.061547</td><td>0.09009394</td><td>25.180082</td><td>0.1093643</td><td>24.779964</td><td>0.083411932</td><td>24.81999</td><td>0.057511555</td><td>24.314534</td><td>0.06619353</td><td>24.309133</td><td>0.056736413</td><td>23.680808</td><td>0.034310602</td><td>23.76802</td><td>0.033015985</td><td>23.539767</td><td>0.066969447</td><td>23.461549</td><td>0.040938349</td><td>23.399649</td><td>0.080474792</td><td>23.410549</td><td>0.066211381</td><td>-99.0596</td><td>0.0</td><td>-99.0</td><td>0.0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr>\n",
       "<tr><td>2</td><td>390</td><td>189.6508</td><td>61.963984</td><td>2153.7563</td><td>1776.5944</td><td>0.0</td><td>1.3848</td><td>1.2218</td><td>2.672</td><td>1.3848</td><td>1.2218</td><td>1.91</td><td>1.3848</td><td>1.2218</td><td>1.838</td><td>1.3848</td><td>1.2218</td><td>1.418</td><td>1.3848</td><td>1.2218</td><td>1.368</td><td>1.3848</td><td>1.2218</td><td>0.0</td><td>1.3848</td><td>1.2218</td><td>1493.6391</td><td>51.050594</td><td>-0.139095</td><td>2422.7332</td><td>81.690349</td><td>-0.115843</td><td>2097.9655</td><td>74.17831</td><td>-0.185239</td><td>3388.0593</td><td>59.511295</td><td>-0.1251</td><td>4140.4947</td><td>73.33219</td><td>-0.044415</td><td>6853.7917</td><td>95.788896</td><td>-0.025208</td><td>9662.898</td><td>76.55651</td><td>0.034059</td><td>14386.937</td><td>91.867563</td><td>0.09294</td><td>15003.387</td><td>208.07547</td><td>0.016075</td><td>20431.922</td><td>141.02593</td><td>0.19508</td><td>21293.46</td><td>281.24343</td><td>-0.155825</td><td>29336.797</td><td>242.91344</td><td>0.269873</td><td>-99.0</td><td>0.0</td><td>-4.61169e+18</td><td>-99.0</td><td>0.0</td><td>-4.61169e+18</td><td>23.464386</td><td>0.037108983</td><td>22.939236</td><td>0.036608836</td><td>23.095504</td><td>0.03838869</td><td>22.575122</td><td>0.019066964</td><td>22.398369</td><td>0.019229803</td><td>21.891173</td><td>0.015174028</td><td>21.437232</td><td>0.0086023593</td><td>21.005079</td><td>0.0069332309</td><td>20.959527</td><td>0.015057446</td><td>20.624227</td><td>0.0074940568</td><td>20.579384</td><td>0.014340321</td><td>20.231468</td><td>0.0089902129</td><td>-99.0596</td><td>0.0</td><td>-99.0</td><td>0.0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr>\n",
       "<tr><td>3</td><td>391</td><td>189.638</td><td>61.964894</td><td>2226.0216</td><td>1787.052</td><td>0.0</td><td>0.429</td><td>0.3608</td><td>2.358</td><td>0.429</td><td>0.3608</td><td>1.01</td><td>0.429</td><td>0.3608</td><td>1.432</td><td>0.429</td><td>0.3608</td><td>1.53</td><td>0.429</td><td>0.3608</td><td>2.358</td><td>0.429</td><td>0.3608</td><td>0.0</td><td>0.429</td><td>0.3608</td><td>90.919304</td><td>20.234254</td><td>-0.30735</td><td>47.241721</td><td>13.19696</td><td>-0.255972</td><td>97.502146</td><td>14.455302</td><td>-0.302281</td><td>75.296741</td><td>12.525248</td><td>-0.279774</td><td>150.1821</td><td>34.492765</td><td>-0.275632</td><td>145.29311</td><td>20.053294</td><td>-0.207495</td><td>209.24742</td><td>29.761036</td><td>0.336714</td><td>149.38028</td><td>16.530724</td><td>0.287927</td><td>226.10839</td><td>63.35523</td><td>-0.357887</td><td>192.69687</td><td>30.221682</td><td>-0.170836</td><td>322.70805</td><td>92.200991</td><td>-0.845605</td><td>263.15075</td><td>50.430449</td><td>-0.71671</td><td>-99.0</td><td>0.0</td><td>-4.61169e+18</td><td>-99.0</td><td>0.0</td><td>-4.61169e+18</td><td>26.50336</td><td>0.24163272</td><td>27.214186</td><td>0.3033003</td><td>26.427465</td><td>0.16096727</td><td>26.70806</td><td>0.18061191</td><td>25.999455</td><td>0.24936381</td><td>26.075387</td><td>0.14985276</td><td>25.59835</td><td>0.15442289</td><td>25.964267</td><td>0.12014978</td><td>25.514208</td><td>0.30422166</td><td>25.687813</td><td>0.17028152</td><td>25.127975</td><td>0.31020595</td><td>25.349488</td><td>0.20807133</td><td>-99.0596</td><td>0.0</td><td>-99.0</td><td>0.0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr>\n",
       "<tr><td>4</td><td>392</td><td>189.62859</td><td>61.964689</td><td>2279.0803</td><td>1784.2611</td><td>0.0</td><td>0.6278</td><td>0.5324</td><td>1.286</td><td>0.6278</td><td>0.5324</td><td>0.988</td><td>0.6278</td><td>0.5324</td><td>1.402</td><td>0.6278</td><td>0.5324</td><td>1.198</td><td>0.6278</td><td>0.5324</td><td>1.028</td><td>0.6278</td><td>0.5324</td><td>0.0</td><td>0.6278</td><td>0.5324</td><td>448.12871</td><td>31.712437</td><td>0.012604</td><td>345.97631</td><td>30.770214</td><td>0.010497</td><td>469.09282</td><td>34.413136</td><td>-0.139848</td><td>408.10768</td><td>19.573151</td><td>-0.002844</td><td>527.77976</td><td>40.194784</td><td>-0.128013</td><td>525.58379</td><td>32.861369</td><td>-0.077363</td><td>627.20827</td><td>34.475494</td><td>0.152863</td><td>538.51431</td><td>28.889695</td><td>0.176503</td><td>855.89239</td><td>76.042311</td><td>0.079313</td><td>768.63431</td><td>49.013976</td><td>0.226743</td><td>1534.1571</td><td>116.39863</td><td>-0.509137</td><td>1323.7014</td><td>85.810002</td><td>-0.083465</td><td>-99.0</td><td>0.0</td><td>-4.61169e+18</td><td>-99.0</td><td>0.0</td><td>-4.61169e+18</td><td>24.771493</td><td>0.076833894</td><td>25.052384</td><td>0.096562704</td><td>24.721853</td><td>0.079650762</td><td>24.873063</td><td>0.052074946</td><td>24.634868</td><td>0.082687321</td><td>24.679395</td><td>0.067883863</td><td>24.406471</td><td>0.05967945</td><td>24.572007</td><td>0.058246903</td><td>24.068952</td><td>0.096463265</td><td>24.185701</td><td>0.069235103</td><td>23.435325</td><td>0.082375992</td><td>23.595525</td><td>0.070384189</td><td>-99.0596</td><td>0.0</td><td>-99.0</td><td>0.0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr>\n",
       "<tr><td>5</td><td>393</td><td>189.68372</td><td>61.964465</td><td>1968.1173</td><td>1783.6211</td><td>0.0</td><td>0.627</td><td>0.5718</td><td>1.552</td><td>0.627</td><td>0.5718</td><td>1.066</td><td>0.627</td><td>0.5718</td><td>1.414</td><td>0.627</td><td>0.5718</td><td>1.14</td><td>0.627</td><td>0.5718</td><td>1.32</td><td>0.627</td><td>0.5718</td><td>0.0</td><td>0.627</td><td>0.5718</td><td>332.81045</td><td>28.29874</td><td>-0.017335</td><td>281.79668</td><td>29.618969</td><td>-0.014438</td><td>440.30533</td><td>41.073491</td><td>-0.104845</td><td>374.59711</td><td>26.352408</td><td>0.079526</td><td>663.34095</td><td>44.130666</td><td>0.114141</td><td>719.48381</td><td>38.316652</td><td>0.184158</td><td>1180.6389</td><td>41.714121</td><td>0.355644</td><td>1063.9238</td><td>35.341124</td><td>0.332424</td><td>1902.4197</td><td>90.391585</td><td>-0.035155</td><td>1805.7684</td><td>53.149678</td><td>0.115117</td><td>2363.7235</td><td>129.59651</td><td>0.408212</td><td>2205.9866</td><td>94.004364</td><td>0.439611</td><td>-99.0</td><td>0.0</td><td>-4.61169e+18</td><td>-99.0</td><td>0.0</td><td>-4.61169e+18</td><td>25.094508</td><td>0.092319595</td><td>25.27516</td><td>0.11411862</td><td>24.790615</td><td>0.10128182</td><td>24.966089</td><td>0.076384354</td><td>24.386658</td><td>0.072231816</td><td>24.338447</td><td>0.057821412</td><td>23.719707</td><td>0.038360965</td><td>23.832724</td><td>0.036065599</td><td>23.201734</td><td>0.051587544</td><td>23.258345</td><td>0.031956488</td><td>22.966008</td><td>0.059527941</td><td>23.040993</td><td>0.04626716</td><td>-99.0596</td><td>0.0</td><td>-99.0</td><td>0.0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr>\n",
       "<tr><td>6</td><td>394</td><td>189.51139</td><td>61.965064</td><td>2940.1334</td><td>1785.2848</td><td>0.0</td><td>0.3902</td><td>0.2764</td><td>1.078</td><td>0.3902</td><td>0.2764</td><td>1.966</td><td>0.3902</td><td>0.2764</td><td>1.966</td><td>0.3902</td><td>0.2764</td><td>1.134</td><td>0.3902</td><td>0.2764</td><td>1.122</td><td>0.3902</td><td>0.2764</td><td>0.0</td><td>0.3902</td><td>0.2764</td><td>103.51294</td><td>21.25362</td><td>-0.087448</td><td>37.835854</td><td>11.716371</td><td>-0.07283</td><td>78.635747</td><td>15.162352</td><td>0.141149</td><td>59.41944</td><td>8.110488</td><td>0.022474</td><td>100.69364</td><td>36.273797</td><td>-0.177765</td><td>88.780335</td><td>17.257585</td><td>-0.325192</td><td>167.06719</td><td>25.811168</td><td>-0.112537</td><td>89.284923</td><td>11.934971</td><td>-0.125889</td><td>311.3481</td><td>79.101842</td><td>-0.570178</td><td>231.8568</td><td>30.633557</td><td>-0.563788</td><td>482.38874</td><td>96.779741</td><td>0.046598</td><td>288.59316</td><td>40.944674</td><td>0.300367</td><td>-99.0</td><td>0.0</td><td>-4.61169e+18</td><td>-99.0</td><td>0.0</td><td>-4.61169e+18</td><td>26.362513</td><td>0.22292727</td><td>27.455241</td><td>0.33621261</td><td>26.66095</td><td>0.20934897</td><td>26.965179</td><td>0.14818642</td><td>26.433495</td><td>0.39112474</td><td>26.610208</td><td>0.21105095</td><td>25.842772</td><td>0.16774134</td><td>26.523055</td><td>0.14513312</td><td>25.166884</td><td>0.2758452</td><td>25.48695</td><td>0.14345075</td><td>24.691507</td><td>0.21782669</td><td>25.249285</td><td>0.15404107</td><td>-99.0596</td><td>0.0</td><td>-99.0</td><td>0.0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr>\n",
       "<tr><td>7</td><td>395</td><td>189.55313</td><td>61.96473</td><td>2704.6933</td><td>1782.378</td><td>0.0</td><td>0.6406</td><td>0.4492</td><td>1.99</td><td>0.6406</td><td>0.4492</td><td>2.234</td><td>0.6406</td><td>0.4492</td><td>3.194</td><td>0.6406</td><td>0.4492</td><td>3.11</td><td>0.6406</td><td>0.4492</td><td>2.378</td><td>0.6406</td><td>0.4492</td><td>0.0</td><td>0.6406</td><td>0.4492</td><td>214.90399</td><td>25.821261</td><td>0.02414</td><td>159.09926</td><td>23.00805</td><td>0.020105</td><td>252.83094</td><td>21.23721</td><td>-0.073734</td><td>225.41925</td><td>13.942805</td><td>-0.105515</td><td>295.93465</td><td>34.153809</td><td>-0.162637</td><td>305.24414</td><td>25.439038</td><td>-0.154478</td><td>420.64221</td><td>27.044165</td><td>-0.157361</td><td>322.97812</td><td>20.349686</td><td>-0.055043</td><td>358.18183</td><td>61.931764</td><td>-0.514358</td><td>300.58318</td><td>39.185279</td><td>-0.3566</td><td>540.23379</td><td>87.512829</td><td>-0.554059</td><td>431.6468</td><td>64.534941</td><td>-0.37831</td><td>-99.0</td><td>0.0</td><td>-4.61169e+18</td><td>-99.0</td><td>0.0</td><td>-4.61169e+18</td><td>25.569389</td><td>0.13045396</td><td>25.89583</td><td>0.15701327</td><td>25.392924</td><td>0.09119921</td><td>25.517522</td><td>0.067142119</td><td>25.26301</td><td>0.12530507</td><td>25.269382</td><td>0.0904852</td><td>24.840218</td><td>0.069804425</td><td>25.127067</td><td>0.068408088</td><td>25.014741</td><td>0.18773043</td><td>25.205088</td><td>0.1415407</td><td>24.568546</td><td>0.17587877</td><td>24.812179</td><td>0.16232668</td><td>-99.0596</td><td>0.0</td><td>-99.0</td><td>0.0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr>\n",
       "<tr><td>8</td><td>396</td><td>189.66667</td><td>61.964542</td><td>2064.2896</td><td>1783.8835</td><td>0.0</td><td>0.5514</td><td>0.4634</td><td>1.712</td><td>0.5514</td><td>0.4634</td><td>0.908</td><td>0.5514</td><td>0.4634</td><td>1.338</td><td>0.5514</td><td>0.4634</td><td>1.41</td><td>0.5514</td><td>0.4634</td><td>1.748</td><td>0.5514</td><td>0.4634</td><td>0.0</td><td>0.5514</td><td>0.4634</td><td>199.10188</td><td>24.68553</td><td>-0.029868</td><td>141.49359</td><td>21.568473</td><td>-0.024875</td><td>329.13774</td><td>35.406381</td><td>-0.195733</td><td>245.60629</td><td>20.273503</td><td>0.013927</td><td>394.60104</td><td>40.165197</td><td>0.02789</td><td>390.18022</td><td>28.920882</td><td>0.020389</td><td>477.38619</td><td>35.186342</td><td>-0.053192</td><td>369.41548</td><td>25.520649</td><td>0.052783</td><td>504.82618</td><td>67.658885</td><td>-0.062242</td><td>397.4309</td><td>39.519454</td><td>0.190476</td><td>491.56598</td><td>100.65657</td><td>0.362969</td><td>344.8374</td><td>69.622382</td><td>0.816787</td><td>-99.0</td><td>0.0</td><td>-4.61169e+18</td><td>-99.0</td><td>0.0</td><td>-4.61169e+18</td><td>25.652312</td><td>0.13461441</td><td>26.023158</td><td>0.16550321</td><td>25.106556</td><td>0.11679617</td><td>25.424401</td><td>0.089626379</td><td>24.950604</td><td>0.11051377</td><td>25.002837</td><td>0.08047665</td><td>24.702825</td><td>0.080025438</td><td>24.981212</td><td>0.075006669</td><td>24.642145</td><td>0.14551468</td><td>24.901846</td><td>0.10796262</td><td>24.671045</td><td>0.22232358</td><td>25.055964</td><td>0.21920951</td><td>-99.0596</td><td>0.0</td><td>-99.0</td><td>0.0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>1</td></tr>\n",
       "<tr><td>9</td><td>397</td><td>189.50243</td><td>61.964403</td><td>2990.6357</td><td>1777.136</td><td>0.0</td><td>0.7834</td><td>0.683</td><td>1.036</td><td>0.7834</td><td>0.683</td><td>0.916</td><td>0.7834</td><td>0.683</td><td>1.33</td><td>0.7834</td><td>0.683</td><td>0.986</td><td>0.7834</td><td>0.683</td><td>0.992</td><td>0.7834</td><td>0.683</td><td>0.0</td><td>0.7834</td><td>0.683</td><td>823.29622</td><td>38.598068</td><td>-0.092919</td><td>830.55191</td><td>47.160891</td><td>-0.077387</td><td>1043.7084</td><td>41.972638</td><td>-0.193747</td><td>1055.9309</td><td>26.196455</td><td>-0.101537</td><td>1659.1327</td><td>58.178027</td><td>-0.197469</td><td>1851.4098</td><td>52.455153</td><td>-0.118771</td><td>3171.3587</td><td>41.536505</td><td>-0.032504</td><td>3266.2754</td><td>41.50062</td><td>-0.016602</td><td>4701.5248</td><td>146.53387</td><td>0.292358</td><td>4689.3133</td><td>93.003258</td><td>0.262138</td><td>6563.8361</td><td>170.13286</td><td>0.04224</td><td>6669.4433</td><td>135.39922</td><td>-0.006918</td><td>-99.0</td><td>0.0</td><td>-4.61169e+18</td><td>-99.0</td><td>0.0</td><td>-4.61169e+18</td><td>24.11111</td><td>0.050901971</td><td>24.101583</td><td>0.061650936</td><td>23.853552</td><td>0.043662901</td><td>23.840911</td><td>0.026950046</td><td>23.391297</td><td>0.03807192</td><td>23.312244</td><td>0.030761295</td><td>22.646887</td><td>0.014220093</td><td>22.614868</td><td>0.013795126</td><td>22.219403</td><td>0.033839417</td><td>22.222227</td><td>0.021533315</td><td>21.857106</td><td>0.028142249</td><td>21.839776</td><td>0.02204149</td><td>-99.0596</td><td>0.0</td><td>-99.0</td><td>0.0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</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(\"$('#table140683614240840-731112').dataTable()\");\n",
       "    $('#table140683614240840-731112').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": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "catalogue = Table.read(\"../../dmu0/dmu0_Hawaii-HDFN/data/R.fits\")\n",
    "catalogue[:10].show_in_notebook()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "imported_columns_old = OrderedDict({\n",
    "        'ID': \"hawaii_id\",\n",
    "        'RA': \"hawaii_ra\",\n",
    "        'DEC': \"hawaii_dec\",\n",
    "            'Uaperflux':  \"f_ap_mosaic_u\",\n",
    "        'dUaperflux': \"ferr_ap_mosaic_u\",\n",
    "        'Uisoflux': \"f_mosaic_u\",\n",
    "        'dUisoflux': \"ferr_mosaic_u\",\n",
    "           'Baperflux':  \"f_ap_suprime_b\",\n",
    "        'dBaperflux': \"ferr_ap_suprime_b\",\n",
    "        'Bisoflux': \"f_suprime_b\",\n",
    "        'dBisoflux': \"ferr_suprime_b\",       \n",
    "            'Vaperflux':  \"f_ap_suprime_v\",\n",
    "        'dVaperflux': \"ferr_ap_suprime_v\",\n",
    "        'Visoflux': \"f_suprime_v\",\n",
    "        'dVisoflux': \"ferr_suprime_v\",\n",
    "            'Raperflux':  \"f_ap_suprime_r\",\n",
    "        'dRaperflux': \"ferr_ap_suprime_r\",\n",
    "        'Risoflux': \"f_suprime_r\",\n",
    "        'dRisoflux': \"ferr_suprime_r\",\n",
    "            'Iaperflux':  \"f_ap_suprime_i\",\n",
    "        'dIaperflux': \"ferr_ap_suprime_i\",\n",
    "        'Iisoflux': \"f_suprime_i\",\n",
    "        'dIisoflux': \"ferr_suprime_i\",\n",
    "            'Zaperflux':  \"f_ap_suprime_z\",\n",
    "        'dZaperflux': \"ferr_ap_suprime_z\",\n",
    "        'Zisoflux': \"f_suprime_z\",\n",
    "        'dZisoflux': \"ferr_suprime_z\",\n",
    "            'HKaperflux':  \"f_ap_quirc_hk\",\n",
    "        'dHKaperflux': \"ferr_ap_quirc_hk\",\n",
    "        'HKisoflux': \"f_quirc_hk\",\n",
    "        'dHKisoflux': \"ferr_quirc_hk\"\n",
    "\n",
    "    })\n",
    "imported_columns = OrderedDict({\n",
    "        'ID': \"hawaii_id\",\n",
    "        'RA': \"hawaii_ra\",\n",
    "        'DEC': \"hawaii_dec\",\n",
    "            'U':  \"m_ap_mosaic_u\",\n",
    "        'dU': \"merr_ap_mosaic_u\",\n",
    "        'Uiso': \"m_mosaic_u\",\n",
    "        'dUiso': \"merr_mosaic_u\",\n",
    "           'B':  \"m_ap_suprime_b\",\n",
    "        'dB': \"merr_ap_suprime_b\",\n",
    "        'Biso': \"m_suprime_b\",\n",
    "        'dBiso': \"merr_suprime_b\",       \n",
    "            'V':  \"m_ap_suprime_v\",\n",
    "        'dV': \"merr_ap_suprime_v\",\n",
    "        'Viso': \"m_suprime_v\",\n",
    "        'dViso': \"merr_suprime_v\",\n",
    "            'R':  \"m_ap_suprime_r\",\n",
    "        'dR': \"merr_ap_suprime_r\",\n",
    "        'Riso': \"m_suprime_r\",\n",
    "        'dRiso': \"merr_suprime_r\",\n",
    "            'I':  \"m_ap_suprime_ip\",\n",
    "        'dI': \"merr_ap_suprime_ip\",\n",
    "        'Iiso': \"m_suprime_ip\",\n",
    "        'dIiso': \"merr_suprime_ip\",\n",
    "            'Z':  \"m_ap_suprime_zp\",\n",
    "        'dZ': \"merr_ap_suprime_zp\",\n",
    "        'Ziso': \"m_suprime_zp\",\n",
    "        'dZiso': \"merr_suprime_zp\",\n",
    "            'HK':  \"m_ap_quirc_hk\",\n",
    "        'dHK': \"merr_ap_quirc_hk\",\n",
    "        'HKiso': \"m_quirc_hk\",\n",
    "        'dHKiso': \"merr_quirc_hk\"\n",
    "\n",
    "    })\n",
    "\n",
    "\n",
    "catalogue = Table.read(\"../../dmu0/dmu0_Hawaii-HDFN/data/R.fits\")[list(imported_columns)]\n",
    "for column in imported_columns:\n",
    "    catalogue[column].name = imported_columns[column]\n",
    "\n",
    "epoch = 2012 #Year of publication\n",
    "\n",
    "# Clean table metadata\n",
    "catalogue.meta = None"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "catalogue_z = Table.read(\"../../dmu0/dmu0_Hawaii-HDFN/data/Z.fits\")[list(imported_columns)]\n",
    "for column in imported_columns:\n",
    "    catalogue_z[column].name = imported_columns[column]\n",
    "    \n",
    "catalogue_z['hawaii_id'] = catalogue_z['hawaii_id'] + 1000000\n",
    "\n",
    "\n",
    "# Clean table metadata\n",
    "catalogue_z.meta = None"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "&lt;Table length=10&gt;\n",
       "<table id=\"table140683614332352-924482\" class=\"table-striped table-bordered table-condensed\">\n",
       "<thead><tr><th>idx</th><th>hawaii_id</th><th>hawaii_ra</th><th>hawaii_dec</th><th>m_ap_mosaic_u</th><th>merr_ap_mosaic_u</th><th>m_mosaic_u</th><th>merr_mosaic_u</th><th>m_ap_suprime_b</th><th>merr_ap_suprime_b</th><th>m_suprime_b</th><th>merr_suprime_b</th><th>m_ap_suprime_v</th><th>merr_ap_suprime_v</th><th>m_suprime_v</th><th>merr_suprime_v</th><th>m_ap_suprime_r</th><th>merr_ap_suprime_r</th><th>m_suprime_r</th><th>merr_suprime_r</th><th>m_ap_suprime_ip</th><th>merr_ap_suprime_ip</th><th>m_suprime_ip</th><th>merr_suprime_ip</th><th>m_ap_suprime_zp</th><th>merr_ap_suprime_zp</th><th>m_suprime_zp</th><th>merr_suprime_zp</th><th>m_ap_quirc_hk</th><th>merr_ap_quirc_hk</th><th>m_quirc_hk</th><th>merr_quirc_hk</th></tr></thead>\n",
       "<tr><td>0</td><td>1000200</td><td>189.00408</td><td>61.965609</td><td>27.001709</td><td>0.38528782</td><td>28.694728</td><td>0.82813119</td><td>26.837913</td><td>0.22746261</td><td>32.128865</td><td>23.501489</td><td>26.574437</td><td>0.38819905</td><td>27.425881</td><td>0.3705649</td><td>26.263358</td><td>0.27636734</td><td>27.513502</td><td>0.36892677</td><td>25.577387</td><td>0.33750432</td><td>26.384019</td><td>0.26115526</td><td>24.926273</td><td>0.24636432</td><td>25.627805</td><td>0.19121145</td><td>-99.0596</td><td>0.0</td><td>-99.0</td><td>0.0</td></tr>\n",
       "<tr><td>1</td><td>1000398</td><td>188.83522</td><td>61.964762</td><td>26.140756</td><td>0.2035186</td><td>27.202913</td><td>0.3308604</td><td>25.809623</td><td>0.13760616</td><td>30.777327</td><td>10.506518</td><td>25.557598</td><td>0.15326846</td><td>26.197062</td><td>0.15292111</td><td>25.305778</td><td>0.12479015</td><td>26.381964</td><td>0.18644296</td><td>24.793982</td><td>0.15107171</td><td>25.390438</td><td>0.12071144</td><td>24.677853</td><td>0.17771922</td><td>25.217512</td><td>0.15486053</td><td>-99.0596</td><td>0.0</td><td>-99.0</td><td>0.0</td></tr>\n",
       "<tr><td>2</td><td>1000683</td><td>189.55482</td><td>61.968059</td><td>25.793577</td><td>0.21057387</td><td>25.863714</td><td>0.2404283</td><td>25.549995</td><td>0.15287651</td><td>29.690869</td><td>7.186459</td><td>25.237118</td><td>0.13183282</td><td>24.998823</td><td>0.097637017</td><td>24.547955</td><td>0.067486469</td><td>24.569677</td><td>0.059156437</td><td>23.989988</td><td>0.095556132</td><td>23.880514</td><td>0.054872285</td><td>23.043226</td><td>0.069403152</td><td>22.984884</td><td>0.041449755</td><td>-99.0596</td><td>0.0</td><td>-99.0</td><td>0.0</td></tr>\n",
       "<tr><td>3</td><td>1000684</td><td>189.65861</td><td>61.965408</td><td>25.243179</td><td>0.15505399</td><td>25.619759</td><td>0.18945418</td><td>24.9983</td><td>0.13705436</td><td>29.630392</td><td>7.2040115</td><td>24.953188</td><td>0.10684509</td><td>25.417499</td><td>0.099688236</td><td>24.541673</td><td>0.069864099</td><td>25.141868</td><td>0.073558968</td><td>24.218914</td><td>0.1067921</td><td>24.746546</td><td>0.078865981</td><td>23.801394</td><td>0.11186048</td><td>24.28883</td><td>0.088974033</td><td>-99.0596</td><td>0.0</td><td>-99.0</td><td>0.0</td></tr>\n",
       "<tr><td>4</td><td>1000685</td><td>189.62183</td><td>62.076018</td><td>25.783978</td><td>0.19560823</td><td>26.776138</td><td>0.31511768</td><td>25.727592</td><td>0.16977649</td><td>30.578801</td><td>10.216514</td><td>25.462749</td><td>0.14959053</td><td>26.210649</td><td>0.1363267</td><td>25.276579</td><td>0.10019427</td><td>26.287501</td><td>0.11932207</td><td>25.15394</td><td>0.19956444</td><td>25.88833</td><td>0.14748907</td><td>24.860772</td><td>0.21450099</td><td>25.337239</td><td>0.14398722</td><td>-99.0596</td><td>0.0</td><td>-99.0</td><td>0.0</td></tr>\n",
       "<tr><td>5</td><td>1000686</td><td>189.47361</td><td>62.075756</td><td>-27.839311</td><td>0.71420802</td><td>-28.570584</td><td>1.1922983</td><td>-28.714795</td><td>0.6762764</td><td>33.292467</td><td>87.071329</td><td>28.322043</td><td>1.6612291</td><td>27.952043</td><td>0.88240139</td><td>26.090807</td><td>0.18789899</td><td>26.511272</td><td>0.19391541</td><td>24.892444</td><td>0.17099695</td><td>25.230126</td><td>0.12622618</td><td>23.922299</td><td>0.1057615</td><td>24.116254</td><td>0.071454034</td><td>-99.0596</td><td>0.0</td><td>-99.0</td><td>0.0</td></tr>\n",
       "<tr><td>6</td><td>1000687</td><td>189.66319</td><td>62.07204</td><td>25.38509</td><td>0.14859425</td><td>26.177527</td><td>0.23035857</td><td>25.498147</td><td>0.14719695</td><td>30.060253</td><td>7.2214863</td><td>25.149775</td><td>0.11410288</td><td>25.664488</td><td>0.095392155</td><td>24.712997</td><td>0.068065492</td><td>25.37001</td><td>0.064862269</td><td>24.526252</td><td>0.12353518</td><td>24.937349</td><td>0.070317746</td><td>24.09238</td><td>0.12203013</td><td>24.606171</td><td>0.087461352</td><td>-99.0596</td><td>0.0</td><td>-99.0</td><td>0.0</td></tr>\n",
       "<tr><td>7</td><td>1000688</td><td>189.68571</td><td>62.07142</td><td>25.965912</td><td>0.21836919</td><td>27.10747</td><td>0.35848145</td><td>26.19472</td><td>0.2240355</td><td>30.812739</td><td>12.234777</td><td>26.192543</td><td>0.33789419</td><td>26.641556</td><td>0.20417163</td><td>26.176035</td><td>0.23785533</td><td>27.034543</td><td>0.21109795</td><td>26.399726</td><td>0.56831541</td><td>26.644547</td><td>0.24837228</td><td>25.044278</td><td>0.25451312</td><td>25.586877</td><td>0.15772759</td><td>-99.0596</td><td>0.0</td><td>-99.0</td><td>0.0</td></tr>\n",
       "<tr><td>8</td><td>1000689</td><td>189.6282</td><td>62.066126</td><td>25.296538</td><td>0.15132431</td><td>26.299351</td><td>0.24512973</td><td>25.326706</td><td>0.1386452</td><td>30.113485</td><td>7.0796685</td><td>25.082057</td><td>0.10820616</td><td>25.781433</td><td>0.086221061</td><td>24.780212</td><td>0.072433805</td><td>25.953647</td><td>0.088951811</td><td>24.889043</td><td>0.15595774</td><td>25.867049</td><td>0.13265088</td><td>24.561796</td><td>0.17628444</td><td>25.328652</td><td>0.13357331</td><td>-99.0596</td><td>0.0</td><td>-99.0</td><td>0.0</td></tr>\n",
       "<tr><td>9</td><td>1000690</td><td>189.65421</td><td>62.064643</td><td>25.494857</td><td>0.18194871</td><td>26.181892</td><td>0.24957131</td><td>25.405587</td><td>0.1402093</td><td>30.041409</td><td>7.542751</td><td>25.242488</td><td>0.12231369</td><td>25.675742</td><td>0.096630871</td><td>24.770654</td><td>0.070939161</td><td>25.510577</td><td>0.072889668</td><td>24.884826</td><td>0.16157141</td><td>25.488736</td><td>0.11682682</td><td>24.20326</td><td>0.12581477</td><td>24.760399</td><td>0.10005013</td><td>-99.0596</td><td>0.0</td><td>-99.0</td><td>0.0</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(\"$('#table140683614332352-924482').dataTable()\");\n",
       "    $('#table140683614332352-924482').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": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "catalogue_z[:10].show_in_notebook()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "&lt;Table length=10&gt;\n",
       "<table id=\"table140683614332352-643971\" class=\"table-striped table-bordered table-condensed\">\n",
       "<thead><tr><th>idx</th><th>hawaii_id</th><th>hawaii_ra</th><th>hawaii_dec</th><th>m_ap_mosaic_u</th><th>merr_ap_mosaic_u</th><th>m_mosaic_u</th><th>merr_mosaic_u</th><th>m_ap_suprime_b</th><th>merr_ap_suprime_b</th><th>m_suprime_b</th><th>merr_suprime_b</th><th>m_ap_suprime_v</th><th>merr_ap_suprime_v</th><th>m_suprime_v</th><th>merr_suprime_v</th><th>m_ap_suprime_r</th><th>merr_ap_suprime_r</th><th>m_suprime_r</th><th>merr_suprime_r</th><th>m_ap_suprime_ip</th><th>merr_ap_suprime_ip</th><th>m_suprime_ip</th><th>merr_suprime_ip</th><th>m_ap_suprime_zp</th><th>merr_ap_suprime_zp</th><th>m_suprime_zp</th><th>merr_suprime_zp</th><th>m_ap_quirc_hk</th><th>merr_ap_quirc_hk</th><th>m_quirc_hk</th><th>merr_quirc_hk</th></tr></thead>\n",
       "<tr><td>0</td><td>386</td><td>189.55903</td><td>61.96553</td><td>25.723373</td><td>0.14521159</td><td>26.094718</td><td>0.18212436</td><td>25.805901</td><td>0.12867579</td><td>25.946383</td><td>0.10908167</td><td>25.709656</td><td>0.17943869</td><td>25.667974</td><td>0.12741512</td><td>25.17009</td><td>0.097040879</td><td>25.374986</td><td>0.089522499</td><td>25.069578</td><td>0.20016823</td><td>25.194764</td><td>0.14048652</td><td>24.200587</td><td>0.13479453</td><td>24.317215</td><td>0.1055142</td><td>-99.0596</td><td>0.0</td><td>-99.0</td><td>0.0</td></tr>\n",
       "<tr><td>1</td><td>389</td><td>189.64881</td><td>61.964594</td><td>25.061547</td><td>0.09009394</td><td>25.180082</td><td>0.1093643</td><td>24.779964</td><td>0.083411932</td><td>24.81999</td><td>0.057511555</td><td>24.314534</td><td>0.06619353</td><td>24.309133</td><td>0.056736413</td><td>23.680808</td><td>0.034310602</td><td>23.76802</td><td>0.033015985</td><td>23.539767</td><td>0.066969447</td><td>23.461549</td><td>0.040938349</td><td>23.399649</td><td>0.080474792</td><td>23.410549</td><td>0.066211381</td><td>-99.0596</td><td>0.0</td><td>-99.0</td><td>0.0</td></tr>\n",
       "<tr><td>2</td><td>390</td><td>189.6508</td><td>61.963984</td><td>23.464386</td><td>0.037108983</td><td>22.939236</td><td>0.036608836</td><td>23.095504</td><td>0.03838869</td><td>22.575122</td><td>0.019066964</td><td>22.398369</td><td>0.019229803</td><td>21.891173</td><td>0.015174028</td><td>21.437232</td><td>0.0086023593</td><td>21.005079</td><td>0.0069332309</td><td>20.959527</td><td>0.015057446</td><td>20.624227</td><td>0.0074940568</td><td>20.579384</td><td>0.014340321</td><td>20.231468</td><td>0.0089902129</td><td>-99.0596</td><td>0.0</td><td>-99.0</td><td>0.0</td></tr>\n",
       "<tr><td>3</td><td>391</td><td>189.638</td><td>61.964894</td><td>26.50336</td><td>0.24163272</td><td>27.214186</td><td>0.3033003</td><td>26.427465</td><td>0.16096727</td><td>26.70806</td><td>0.18061191</td><td>25.999455</td><td>0.24936381</td><td>26.075387</td><td>0.14985276</td><td>25.59835</td><td>0.15442289</td><td>25.964267</td><td>0.12014978</td><td>25.514208</td><td>0.30422166</td><td>25.687813</td><td>0.17028152</td><td>25.127975</td><td>0.31020595</td><td>25.349488</td><td>0.20807133</td><td>-99.0596</td><td>0.0</td><td>-99.0</td><td>0.0</td></tr>\n",
       "<tr><td>4</td><td>392</td><td>189.62859</td><td>61.964689</td><td>24.771493</td><td>0.076833894</td><td>25.052384</td><td>0.096562704</td><td>24.721853</td><td>0.079650762</td><td>24.873063</td><td>0.052074946</td><td>24.634868</td><td>0.082687321</td><td>24.679395</td><td>0.067883863</td><td>24.406471</td><td>0.05967945</td><td>24.572007</td><td>0.058246903</td><td>24.068952</td><td>0.096463265</td><td>24.185701</td><td>0.069235103</td><td>23.435325</td><td>0.082375992</td><td>23.595525</td><td>0.070384189</td><td>-99.0596</td><td>0.0</td><td>-99.0</td><td>0.0</td></tr>\n",
       "<tr><td>5</td><td>393</td><td>189.68372</td><td>61.964465</td><td>25.094508</td><td>0.092319595</td><td>25.27516</td><td>0.11411862</td><td>24.790615</td><td>0.10128182</td><td>24.966089</td><td>0.076384354</td><td>24.386658</td><td>0.072231816</td><td>24.338447</td><td>0.057821412</td><td>23.719707</td><td>0.038360965</td><td>23.832724</td><td>0.036065599</td><td>23.201734</td><td>0.051587544</td><td>23.258345</td><td>0.031956488</td><td>22.966008</td><td>0.059527941</td><td>23.040993</td><td>0.04626716</td><td>-99.0596</td><td>0.0</td><td>-99.0</td><td>0.0</td></tr>\n",
       "<tr><td>6</td><td>394</td><td>189.51139</td><td>61.965064</td><td>26.362513</td><td>0.22292727</td><td>27.455241</td><td>0.33621261</td><td>26.66095</td><td>0.20934897</td><td>26.965179</td><td>0.14818642</td><td>26.433495</td><td>0.39112474</td><td>26.610208</td><td>0.21105095</td><td>25.842772</td><td>0.16774134</td><td>26.523055</td><td>0.14513312</td><td>25.166884</td><td>0.2758452</td><td>25.48695</td><td>0.14345075</td><td>24.691507</td><td>0.21782669</td><td>25.249285</td><td>0.15404107</td><td>-99.0596</td><td>0.0</td><td>-99.0</td><td>0.0</td></tr>\n",
       "<tr><td>7</td><td>395</td><td>189.55313</td><td>61.96473</td><td>25.569389</td><td>0.13045396</td><td>25.89583</td><td>0.15701327</td><td>25.392924</td><td>0.09119921</td><td>25.517522</td><td>0.067142119</td><td>25.26301</td><td>0.12530507</td><td>25.269382</td><td>0.0904852</td><td>24.840218</td><td>0.069804425</td><td>25.127067</td><td>0.068408088</td><td>25.014741</td><td>0.18773043</td><td>25.205088</td><td>0.1415407</td><td>24.568546</td><td>0.17587877</td><td>24.812179</td><td>0.16232668</td><td>-99.0596</td><td>0.0</td><td>-99.0</td><td>0.0</td></tr>\n",
       "<tr><td>8</td><td>396</td><td>189.66667</td><td>61.964542</td><td>25.652312</td><td>0.13461441</td><td>26.023158</td><td>0.16550321</td><td>25.106556</td><td>0.11679617</td><td>25.424401</td><td>0.089626379</td><td>24.950604</td><td>0.11051377</td><td>25.002837</td><td>0.08047665</td><td>24.702825</td><td>0.080025438</td><td>24.981212</td><td>0.075006669</td><td>24.642145</td><td>0.14551468</td><td>24.901846</td><td>0.10796262</td><td>24.671045</td><td>0.22232358</td><td>25.055964</td><td>0.21920951</td><td>-99.0596</td><td>0.0</td><td>-99.0</td><td>0.0</td></tr>\n",
       "<tr><td>9</td><td>397</td><td>189.50243</td><td>61.964403</td><td>24.11111</td><td>0.050901971</td><td>24.101583</td><td>0.061650936</td><td>23.853552</td><td>0.043662901</td><td>23.840911</td><td>0.026950046</td><td>23.391297</td><td>0.03807192</td><td>23.312244</td><td>0.030761295</td><td>22.646887</td><td>0.014220093</td><td>22.614868</td><td>0.013795126</td><td>22.219403</td><td>0.033839417</td><td>22.222227</td><td>0.021533315</td><td>21.857106</td><td>0.028142249</td><td>21.839776</td><td>0.02204149</td><td>-99.0596</td><td>0.0</td><td>-99.0</td><td>0.0</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(\"$('#table140683614332352-643971').dataTable()\");\n",
       "    $('#table140683614332352-643971').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": {},
   "source": [
    "## III - Merging"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Pp0rygrr9bQtUnBvUQ/XNM5QQM2lpRb4kaXfbAMUqRVCsACBFdA+N6Yf1TWruHdUFdUW6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\nKwAAgAT5/wEh4YEwSPzeKQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff386ba3b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "catalogue['hawaii_ra'].unit = u.deg\n",
    "catalogue['hawaii_dec'].unit = u.deg\n",
    "catalogue_z['hawaii_ra'].unit = u.deg\n",
    "catalogue_z['hawaii_dec'].unit = u.deg\n",
    "nb_merge_dist_plot(\n",
    "    SkyCoord(catalogue['hawaii_ra'], catalogue['hawaii_dec']),\n",
    "    SkyCoord(catalogue_z['hawaii_ra'], catalogue_z['hawaii_dec'])\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The catalogues apper to contain no cross matches. We therefore simply stack the catalogues. We need to understand why this is the case. Have cross matches already been removed from the Z selected catalogue?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "catalogue = vstack([catalogue, catalogue_z])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Adding flux and band-flag columns\n",
    "for col in catalogue.colnames:\n",
    "    if col.startswith('m_'):\n",
    "        \n",
    "        errcol = \"merr{}\".format(col[1:])\n",
    "        \n",
    "        mask = catalogue[col] < 0.\n",
    "        catalogue[col][mask] = np.nan\n",
    "        catalogue[errcol][mask] = np.nan\n",
    "        \n",
    "        \n",
    "        flux, error = mag_to_flux(np.array(catalogue[col]) , np.array(catalogue[errcol] ))\n",
    "        \n",
    "        \n",
    "        # magnitudes are added\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",
    "        \n",
    "# TODO: Set to True the flag columns for fluxes that should not be used for SED fitting."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "&lt;Table length=10&gt;\n",
       "<table id=\"table140683614331400-220614\" class=\"table-striped table-bordered table-condensed\">\n",
       "<thead><tr><th>idx</th><th>hawaii_id</th><th>hawaii_ra</th><th>hawaii_dec</th><th>m_ap_mosaic_u</th><th>merr_ap_mosaic_u</th><th>m_mosaic_u</th><th>merr_mosaic_u</th><th>m_ap_suprime_b</th><th>merr_ap_suprime_b</th><th>m_suprime_b</th><th>merr_suprime_b</th><th>m_ap_suprime_v</th><th>merr_ap_suprime_v</th><th>m_suprime_v</th><th>merr_suprime_v</th><th>m_ap_suprime_r</th><th>merr_ap_suprime_r</th><th>m_suprime_r</th><th>merr_suprime_r</th><th>m_ap_suprime_ip</th><th>merr_ap_suprime_ip</th><th>m_suprime_ip</th><th>merr_suprime_ip</th><th>m_ap_suprime_zp</th><th>merr_ap_suprime_zp</th><th>m_suprime_zp</th><th>merr_suprime_zp</th><th>m_ap_quirc_hk</th><th>merr_ap_quirc_hk</th><th>m_quirc_hk</th><th>merr_quirc_hk</th><th>f_ap_mosaic_u</th><th>ferr_ap_mosaic_u</th><th>f_mosaic_u</th><th>ferr_mosaic_u</th><th>flag_mosaic_u</th><th>f_ap_suprime_b</th><th>ferr_ap_suprime_b</th><th>f_suprime_b</th><th>ferr_suprime_b</th><th>flag_suprime_b</th><th>f_ap_suprime_v</th><th>ferr_ap_suprime_v</th><th>f_suprime_v</th><th>ferr_suprime_v</th><th>flag_suprime_v</th><th>f_ap_suprime_r</th><th>ferr_ap_suprime_r</th><th>f_suprime_r</th><th>ferr_suprime_r</th><th>flag_suprime_r</th><th>f_ap_suprime_ip</th><th>ferr_ap_suprime_ip</th><th>f_suprime_ip</th><th>ferr_suprime_ip</th><th>flag_suprime_ip</th><th>f_ap_suprime_zp</th><th>ferr_ap_suprime_zp</th><th>f_suprime_zp</th><th>ferr_suprime_zp</th><th>flag_suprime_zp</th><th>f_ap_quirc_hk</th><th>ferr_ap_quirc_hk</th><th>f_quirc_hk</th><th>ferr_quirc_hk</th><th>flag_quirc_hk</th></tr></thead>\n",
       "<thead><tr><th></th><th></th><th>deg</th><th>deg</th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><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>386</td><td>189.55903</td><td>61.96553</td><td>25.723373</td><td>0.14521159</td><td>26.094718</td><td>0.18212436</td><td>25.805901</td><td>0.12867579</td><td>25.946383</td><td>0.10908167</td><td>25.709656</td><td>0.17943869</td><td>25.667974</td><td>0.12741512</td><td>25.17009</td><td>0.097040879</td><td>25.374986</td><td>0.089522499</td><td>25.069578</td><td>0.20016823</td><td>25.194764</td><td>0.14048652</td><td>24.200587</td><td>0.13479453</td><td>24.317215</td><td>0.1055142</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>0.186487960768</td><td>0.0249417981829</td><td>0.132468555321</td><td>0.0222206377132</td><td>False</td><td>0.172838146368</td><td>0.0204838752992</td><td>0.151861190443</td><td>0.0152571795885</td><td>False</td><td>0.188858962695</td><td>0.0312125585498</td><td>0.196250331945</td><td>0.0230306951958</td><td>False</td><td>0.310430225234</td><td>0.0277456179437</td><td>0.257042892689</td><td>0.0211940266916</td><td>False</td><td>0.340540524034</td><td>0.062782647977</td><td>0.303455071469</td><td>0.0392649216083</td><td>False</td><td>0.7581675632</td><td>0.0941267684498</td><td>0.680948080498</td><td>0.066176011853</td><td>False</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td></tr>\n",
       "<tr><td>1</td><td>389</td><td>189.64881</td><td>61.964594</td><td>25.061547</td><td>0.09009394</td><td>25.180082</td><td>0.1093643</td><td>24.779964</td><td>0.083411932</td><td>24.81999</td><td>0.057511555</td><td>24.314534</td><td>0.06619353</td><td>24.309133</td><td>0.056736413</td><td>23.680808</td><td>0.034310602</td><td>23.76802</td><td>0.033015985</td><td>23.539767</td><td>0.066969447</td><td>23.461549</td><td>0.040938349</td><td>23.399649</td><td>0.080474792</td><td>23.410549</td><td>0.066211381</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>0.343068781486</td><td>0.028467705212</td><td>0.307586450194</td><td>0.0309826426231</td><td>False</td><td>0.444646010453</td><td>0.0341600313459</td><td>0.428552467493</td><td>0.0227004669243</td><td>False</td><td>0.682631618037</td><td>0.0416176565628</td><td>0.686035832441</td><td>0.0358496033858</td><td>False</td><td>1.22370518443</td><td>0.0386705917738</td><td>1.12925494237</td><td>0.0343393395884</td><td>False</td><td>1.39345580777</td><td>0.0859499429572</td><td>1.49754678808</td><td>0.0564659194244</td><td>False</td><td>1.58540564423</td><td>0.117510302131</td><td>1.56956895474</td><td>0.0957169224093</td><td>False</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td></tr>\n",
       "<tr><td>2</td><td>390</td><td>189.6508</td><td>61.963984</td><td>23.464386</td><td>0.037108983</td><td>22.939236</td><td>0.036608836</td><td>23.095504</td><td>0.03838869</td><td>22.575122</td><td>0.019066964</td><td>22.398369</td><td>0.019229803</td><td>21.891173</td><td>0.015174028</td><td>21.437232</td><td>0.0086023593</td><td>21.005079</td><td>0.0069332309</td><td>20.959527</td><td>0.015057446</td><td>20.624227</td><td>0.0074940568</td><td>20.579384</td><td>0.014340321</td><td>20.231468</td><td>0.0089902129</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>1.49363884581</td><td>0.0510505390667</td><td>2.42273325178</td><td>0.081689681064</td><td>False</td><td>2.09796577941</td><td>0.0741783847527</td><td>3.38806083664</td><td>0.05949883012</td><td>False</td><td>3.98705659153</td><td>0.0706159677359</td><td>6.3610791577</td><td>0.0889011463615</td><td>False</td><td>9.66289365641</td><td>0.0765597414417</td><td>14.3869389265</td><td>0.0918712750708</td><td>False</td><td>15.0033831418</td><td>0.208073223022</td><td>20.431920966</td><td>0.141026867835</td><td>False</td><td>21.2934680308</td><td>0.281242502025</td><td>29.3368040456</td><td>0.242917306267</td><td>False</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td></tr>\n",
       "<tr><td>3</td><td>391</td><td>189.638</td><td>61.964894</td><td>26.50336</td><td>0.24163272</td><td>27.214186</td><td>0.3033003</td><td>26.427465</td><td>0.16096727</td><td>26.70806</td><td>0.18061191</td><td>25.999455</td><td>0.24936381</td><td>26.075387</td><td>0.14985276</td><td>25.59835</td><td>0.15442289</td><td>25.964267</td><td>0.12014978</td><td>25.514208</td><td>0.30422166</td><td>25.687813</td><td>0.17028152</td><td>25.127975</td><td>0.31020595</td><td>25.349488</td><td>0.20807133</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>0.0909192825457</td><td>0.0202342644979</td><td>0.0472417089875</td><td>0.0131969666717</td><td>False</td><td>0.0975021068176</td><td>0.0144553049672</td><td>0.0752967098898</td><td>0.0125255863536</td><td>False</td><td>0.144616551096</td><td>0.0332144530248</td><td>0.134848214371</td><td>0.0186116821158</td><td>False</td><td>0.20924736609</td><td>0.0297609887696</td><td>0.149380256215</td><td>0.0165307234317</td><td>False</td><td>0.226108453716</td><td>0.0633552504081</td><td>0.192696931935</td><td>0.0302216379315</td><td>False</td><td>0.322708199297</td><td>0.0922010365842</td><td>0.263150863837</td><td>0.0504304360389</td><td>False</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td></tr>\n",
       "<tr><td>4</td><td>392</td><td>189.62859</td><td>61.964689</td><td>24.771493</td><td>0.076833894</td><td>25.052384</td><td>0.096562704</td><td>24.721853</td><td>0.079650762</td><td>24.873063</td><td>0.052074946</td><td>24.634868</td><td>0.082687321</td><td>24.679395</td><td>0.067883863</td><td>24.406471</td><td>0.05967945</td><td>24.572007</td><td>0.058246903</td><td>24.068952</td><td>0.096463265</td><td>24.185701</td><td>0.069235103</td><td>23.435325</td><td>0.082375992</td><td>23.595525</td><td>0.070384189</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>0.448128742509</td><td>0.0317125616235</td><td>0.345976339946</td><td>0.0307702835724</td><td>False</td><td>0.469092835525</td><td>0.0344131490086</td><td>0.408107710401</td><td>0.0195739875747</td><td>False</td><td>0.508221226559</td><td>0.0387050293758</td><td>0.487800229158</td><td>0.030498903677</td><td>False</td><td>0.627208015725</td><td>0.0344756205513</td><td>0.538514250057</td><td>0.028889878729</td><td>False</td><td>0.855892459077</td><td>0.0760425789705</td><td>0.768634015445</td><td>0.0490141666046</td><td>False</td><td>1.53415768534</td><td>0.116398219623</td><td>1.32370131409</td><td>0.0858105708017</td><td>False</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td></tr>\n",
       "<tr><td>5</td><td>393</td><td>189.68372</td><td>61.964465</td><td>25.094508</td><td>0.092319595</td><td>25.27516</td><td>0.11411862</td><td>24.790615</td><td>0.10128182</td><td>24.966089</td><td>0.076384354</td><td>24.386658</td><td>0.072231816</td><td>24.338447</td><td>0.057821412</td><td>23.719707</td><td>0.038360965</td><td>23.832724</td><td>0.036065599</td><td>23.201734</td><td>0.051587544</td><td>23.258345</td><td>0.031956488</td><td>22.966008</td><td>0.059527941</td><td>23.040993</td><td>0.04626716</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>0.332810331713</td><td>0.0282986925378</td><td>0.281796762961</td><td>0.0296188499275</td><td>False</td><td>0.440305388064</td><td>0.0410734493918</td><td>0.374597090602</td><td>0.0263538755091</td><td>False</td><td>0.638758658308</td><td>0.0424953111752</td><td>0.667761229302</td><td>0.0355619504884</td><td>False</td><td>1.18063920347</td><td>0.0417140544485</td><td>1.0639234958</td><td>0.0353410321935</td><td>False</td><td>1.90241998684</td><td>0.0903913624207</td><td>1.80576819698</td><td>0.0531491991006</td><td>False</td><td>2.36372419149</td><td>0.129596520402</td><td>2.20598624422</td><td>0.0940050797531</td><td>False</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td></tr>\n",
       "<tr><td>6</td><td>394</td><td>189.51139</td><td>61.965064</td><td>26.362513</td><td>0.22292727</td><td>27.455241</td><td>0.33621261</td><td>26.66095</td><td>0.20934897</td><td>26.965179</td><td>0.14818642</td><td>26.433495</td><td>0.39112474</td><td>26.610208</td><td>0.21105095</td><td>25.842772</td><td>0.16774134</td><td>26.523055</td><td>0.14513312</td><td>25.166884</td><td>0.2758452</td><td>25.48695</td><td>0.14345075</td><td>24.691507</td><td>0.21782669</td><td>25.249285</td><td>0.15404107</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>0.103512977254</td><td>0.0212536574977</td><td>0.0378358591441</td><td>0.0117163753946</td><td>False</td><td>0.0786357439723</td><td>0.0151623496883</td><td>0.059419418866</td><td>0.00810984373704</td><td>False</td><td>0.0969620971309</td><td>0.0349295481388</td><td>0.082398024581</td><td>0.0160169489511</td><td>False</td><td>0.167067202302</td><td>0.0258111282109</td><td>0.0892848965984</td><td>0.0119349392195</td><td>False</td><td>0.311348229196</td><td>0.0791020085505</td><td>0.2318568867</td><td>0.0306336328695</td><td>False</td><td>0.482388782347</td><td>0.0967796332952</td><td>0.288593137682</td><td>0.0409447483914</td><td>False</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td></tr>\n",
       "<tr><td>7</td><td>395</td><td>189.55313</td><td>61.96473</td><td>25.569389</td><td>0.13045396</td><td>25.89583</td><td>0.15701327</td><td>25.392924</td><td>0.09119921</td><td>25.517522</td><td>0.067142119</td><td>25.26301</td><td>0.12530507</td><td>25.269382</td><td>0.0904852</td><td>24.840218</td><td>0.069804425</td><td>25.127067</td><td>0.068408088</td><td>25.014741</td><td>0.18773043</td><td>25.205088</td><td>0.1415407</td><td>24.568546</td><td>0.17587877</td><td>24.812179</td><td>0.16232668</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>0.214903950975</td><td>0.0258212550171</td><td>0.159099201507</td><td>0.0230080619709</td><td>False</td><td>0.25283104518</td><td>0.0212371950782</td><td>0.225419353553</td><td>0.0139399727069</td><td>False</td><td>0.28496793807</td><td>0.0328882165587</td><td>0.283300408015</td><td>0.0236102415734</td><td>False</td><td>0.420642161092</td><td>0.0270440315586</td><td>0.322978192693</td><td>0.020349621327</td><td>False</td><td>0.358181870415</td><td>0.0619318359805</td><td>0.300583266703</td><td>0.0391851775698</td><td>False</td><td>0.540233610232</td><td>0.0875126227383</td><td>0.431646675135</td><td>0.0645348026534</td><td>False</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td></tr>\n",
       "<tr><td>8</td><td>396</td><td>189.66667</td><td>61.964542</td><td>25.652312</td><td>0.13461441</td><td>26.023158</td><td>0.16550321</td><td>25.106556</td><td>0.11679617</td><td>25.424401</td><td>0.089626379</td><td>24.950604</td><td>0.11051377</td><td>25.002837</td><td>0.08047665</td><td>24.702825</td><td>0.080025438</td><td>24.981212</td><td>0.075006669</td><td>24.642145</td><td>0.14551468</td><td>24.901846</td><td>0.10796262</td><td>24.671045</td><td>0.22232358</td><td>25.055964</td><td>0.21920951</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>0.199101806268</td><td>0.0246855286424</td><td>0.141493601168</td><td>0.021568448289</td><td>False</td><td>0.329137677277</td><td>0.0354064089787</td><td>0.245606355073</td><td>0.020274545666</td><td>False</td><td>0.379977954045</td><td>0.0386767946342</td><td>0.362130579814</td><td>0.0268417464558</td><td>False</td><td>0.477386353317</td><td>0.0351863112347</td><td>0.369415573416</td><td>0.0255205928634</td><td>False</td><td>0.504826332175</td><td>0.06765883081</td><td>0.397430872357</td><td>0.0395194321241</td><td>False</td><td>0.491566185021</td><td>0.100656820305</td><td>0.344837430215</td><td>0.0696224771504</td><td>False</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td></tr>\n",
       "<tr><td>9</td><td>397</td><td>189.50243</td><td>61.964403</td><td>24.11111</td><td>0.050901971</td><td>24.101583</td><td>0.061650936</td><td>23.853552</td><td>0.043662901</td><td>23.840911</td><td>0.026950046</td><td>23.391297</td><td>0.03807192</td><td>23.312244</td><td>0.030761295</td><td>22.646887</td><td>0.014220093</td><td>22.614868</td><td>0.013795126</td><td>22.219403</td><td>0.033839417</td><td>22.222227</td><td>0.021533315</td><td>21.857106</td><td>0.028142249</td><td>21.839776</td><td>0.02204149</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>0.823295989785</td><td>0.0385981313074</td><td>0.830551945752</td><td>0.04716090762</td><td>False</td><td>1.04370845099</td><td>0.0419727541266</td><td>1.0559311457</td><td>0.0262102275164</td><td>False</td><td>1.5976483676</td><td>0.0560223934441</td><td>1.71831349145</td><td>0.048683601027</td><td>False</td><td>3.17135748666</td><td>0.0415358704986</td><td>3.26627539989</td><td>0.0415005785888</td><td>False</td><td>4.70152554368</td><td>0.146533644832</td><td>4.68931276478</td><td>0.0930027463899</td><td>False</td><td>6.56383416368</td><td>0.170134379437</td><td>6.66944353393</td><td>0.135396123215</td><td>False</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td></tr>\n",
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       "        \"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": 12,
     "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": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The initial catalogue had 48858 sources.\n",
      "The cleaned catalogue has 48858 sources (0 removed).\n",
      "The cleaned catalogue has 0 sources flagged as having been cleaned\n"
     ]
    }
   ],
   "source": [
    "\n",
    "SORT_COLS = ['merr_mosaic_u', \n",
    "             'merr_suprime_b', \n",
    "             'merr_suprime_v', \n",
    "             'merr_suprime_r',\n",
    "             'merr_suprime_ip',\n",
    "             'merr_suprime_zp',\n",
    "             'merr_quirc_hk']\n",
    "FLAG_NAME = 'hawaii_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": 14,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "gaia = Table.read(\"../../dmu0/dmu0_GAIA/data/GAIA_HDF-N.fits\")\n",
    "gaia_coords = SkyCoord(gaia['ra'], gaia['dec'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
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9ry6Z7d1RAjmqYhIxbbh/Qz+b2iN5i6GA1buDLKn15uz7aIlEzJx+Y/NdJ4ks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\nG2X9z/2CaRHGREp3YydSN2NeYgbw2GOP8eCDDw4sBaNpGrNmzeKGG25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0vQb2+onIvDjQSzYcrTJ+kIo87jF4NwPx1h3XiQpC98tJ7/XwGtRiE+TI+PmwNyW4qidOuhG3fk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\ntAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff376cacf28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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2pqfaq9QGxn19wJQBOg4ohdN3Bt8KgsoQjaLa2xD5Atp1l6zttqwjrms65E3n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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff374b9c668>"
      ]
     },
     "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": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RA correction: -0.22843071726015296 arcsec\n",
      "Dec correction: 0.014955391984017297 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": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "catalogue[RA_COL] = catalogue[RA_COL] +  delta_ra.to(u.deg)\n",
    "catalogue[DEC_COL] = catalogue[DEC_COL] + delta_dec.to(u.deg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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4bdo0PB4Pq1ev7vP4ypUrOfroo/s8VldXx9KlS3nllVeYNWsWs2bNYsGCBQDM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\nndbjR0hYVhFGb4Ft2/T19uLY7lda0FU4c+50PLrmeltUFFj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Q6DqYoijD1upG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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff374a39be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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LpkbU3nPkRoVA1ScWbkKdiJclz0BMTiPPDi8I3FgslgugNWJkHNk/hDg7El5jXSnTx2M+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\nCCGA/w91OJLKeH+srwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ff3748ec5c0>"
      ]
     },
     "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": {
    "collapsed": 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": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "431 sources flagged.\n"
     ]
    }
   ],
   "source": [
    "GAIA_FLAG_NAME = \"hawaii_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": [
    "## V - Flagging objects near bright stars"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# VI - Saving to disk"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "48858"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(catalogue)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "&lt;Table length=10&gt;\n",
       "<table id=\"table140683608325592-835663\" class=\"table-striped table-bordered table-condensed\">\n",
       "<thead><tr><th>idx</th><th>hawaii_id</th><th>hawaii_ra</th><th>hawaii_dec</th><th>m_ap_mosaic_u</th><th>merr_ap_mosaic_u</th><th>m_mosaic_u</th><th>merr_mosaic_u</th><th>m_ap_suprime_b</th><th>merr_ap_suprime_b</th><th>m_suprime_b</th><th>merr_suprime_b</th><th>m_ap_suprime_v</th><th>merr_ap_suprime_v</th><th>m_suprime_v</th><th>merr_suprime_v</th><th>m_ap_suprime_r</th><th>merr_ap_suprime_r</th><th>m_suprime_r</th><th>merr_suprime_r</th><th>m_ap_suprime_ip</th><th>merr_ap_suprime_ip</th><th>m_suprime_ip</th><th>merr_suprime_ip</th><th>m_ap_suprime_zp</th><th>merr_ap_suprime_zp</th><th>m_suprime_zp</th><th>merr_suprime_zp</th><th>m_ap_quirc_hk</th><th>merr_ap_quirc_hk</th><th>m_quirc_hk</th><th>merr_quirc_hk</th><th>f_ap_mosaic_u</th><th>ferr_ap_mosaic_u</th><th>f_mosaic_u</th><th>ferr_mosaic_u</th><th>flag_mosaic_u</th><th>f_ap_suprime_b</th><th>ferr_ap_suprime_b</th><th>f_suprime_b</th><th>ferr_suprime_b</th><th>flag_suprime_b</th><th>f_ap_suprime_v</th><th>ferr_ap_suprime_v</th><th>f_suprime_v</th><th>ferr_suprime_v</th><th>flag_suprime_v</th><th>f_ap_suprime_r</th><th>ferr_ap_suprime_r</th><th>f_suprime_r</th><th>ferr_suprime_r</th><th>flag_suprime_r</th><th>f_ap_suprime_ip</th><th>ferr_ap_suprime_ip</th><th>f_suprime_ip</th><th>ferr_suprime_ip</th><th>flag_suprime_ip</th><th>f_ap_suprime_zp</th><th>ferr_ap_suprime_zp</th><th>f_suprime_zp</th><th>ferr_suprime_zp</th><th>flag_suprime_zp</th><th>f_ap_quirc_hk</th><th>ferr_ap_quirc_hk</th><th>f_quirc_hk</th><th>ferr_quirc_hk</th><th>flag_quirc_hk</th><th>hawaii_flag_cleaned</th><th>hawaii_flag_gaia</th></tr></thead>\n",
       "<thead><tr><th></th><th></th><th>deg</th><th>deg</th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><th></th><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>64757</td><td>188.910226547</td><td>62.3524671543</td><td>17.48232</td><td>0.0032547218</td><td>17.52763</td><td>0.0037206719</td><td>19.262871</td><td>0.010587683</td><td>nan</td><td>nan</td><td>17.321681</td><td>0.0090037634</td><td>17.16203</td><td>0.003637295</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>17.529042</td><td>0.0051077822</td><td>17.426093</td><td>0.0012591306</td><td>16.75208</td><td>0.015353546</td><td>nan</td><td>nan</td><td>17.18572</td><td>0.011530201</td><td>17.029669</td><td>0.012365919</td><td>369.038775008</td><td>1.10627106363</td><td>353.954957953</td><td>1.21295602021</td><td>False</td><td>71.5898743216</td><td>0.698116993801</td><td>nan</td><td>nan</td><td>False</td><td>427.885530002</td><td>3.54835737957</td><td>495.664710683</td><td>1.66051271565</td><td>False</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td><td>353.494938701</td><td>1.66299617511</td><td>388.653694126</td><td>0.450722520749</td><td>False</td><td>723.049449835</td><td>10.2247423819</td><td>nan</td><td>nan</td><td>False</td><td>484.966790441</td><td>5.15020549891</td><td>559.928276481</td><td>6.37726519796</td><td>False</td><td>False</td><td>3</td></tr>\n",
       "<tr><td>1</td><td>9521</td><td>189.620606547</td><td>62.0247091543</td><td>17.276633</td><td>0.0032096196</td><td>17.498646</td><td>0.0039690233</td><td>18.729508</td><td>0.0099520701</td><td>nan</td><td>nan</td><td>17.168774</td><td>0.0065314527</td><td>17.080994</td><td>0.0026401332</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>17.515398</td><td>0.0039837054</td><td>17.452045</td><td>0.0009023611</td><td>16.632781</td><td>0.0047726293</td><td>16.658149</td><td>0.0013916258</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>446.012263309</td><td>1.31848758095</td><td>363.53112463</td><td>1.32892639815</td><td>False</td><td>117.00294683</td><td>1.07247186163</td><td>nan</td><td>nan</td><td>False</td><td>492.595454497</td><td>2.96330167234</td><td>534.075185494</td><td>1.29868528132</td><td>False</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td><td>357.965193194</td><td>1.31342020915</td><td>379.473978001</td><td>0.315382829374</td><td>False</td><td>807.026136328</td><td>3.54748839288</td><td>788.388716528</td><td>1.0105051978</td><td>False</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td><td>False</td><td>3</td></tr>\n",
       "<tr><td>2</td><td>32166</td><td>189.106776547</td><td>62.0937961543</td><td>17.652784</td><td>0.0037324369</td><td>17.619795</td><td>0.0041253927</td><td>17.956455</td><td>0.0060851658</td><td>nan</td><td>nan</td><td>17.468904</td><td>0.0075733022</td><td>17.120838</td><td>0.002651113</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>17.401498</td><td>0.0044828684</td><td>17.116824</td><td>0.0011168023</td><td>16.419461</td><td>0.0055624592</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>315.417946517</td><td>1.08431272471</td><td>325.148683556</td><td>1.23544374746</td><td>False</td><td>238.461350936</td><td>1.3364911762</td><td>nan</td><td>nan</td><td>False</td><td>373.627126635</td><td>2.60614975141</td><td>514.831130874</td><td>1.2570967956</td><td>False</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td><td>397.558277256</td><td>1.64146818579</td><td>516.738000037</td><td>0.531523388839</td><td>False</td><td>982.235440359</td><td>5.03220260856</td><td>nan</td><td>nan</td><td>False</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td><td>False</td><td>3</td></tr>\n",
       "<tr><td>3</td><td>42605</td><td>189.406946547</td><td>62.2916271543</td><td>17.861218</td><td>0.004200027</td><td>17.824717</td><td>0.0046427915</td><td>19.155014</td><td>0.012868566</td><td>nan</td><td>nan</td><td>17.327195</td><td>0.0082108105</td><td>16.964173</td><td>0.002950561</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>17.049913</td><td>0.0049733921</td><td>16.776206</td><td>0.001131984</td><td>16.28526</td><td>0.0063242479</td><td>nan</td><td>nan</td><td>16.51948</td><td>0.018702164</td><td>16.358775</td><td>0.013662639</td><td>260.323155552</td><td>1.00702571882</td><td>269.2236451</td><td>1.151245805</td><td>False</td><td>79.0668432679</td><td>0.937130848677</td><td>nan</td><td>nan</td><td>False</td><td>425.717987069</td><td>3.21946500719</td><td>594.745000512</td><td>1.61625945212</td><td>False</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td><td>549.584910311</td><td>2.51746348629</td><td>707.159858106</td><td>0.737281893438</td><td>False</td><td>1111.46553404</td><td>6.47411732127</td><td>nan</td><td>nan</td><td>False</td><td>895.793692197</td><td>15.4303416136</td><td>1038.6996852</td><td>13.0707429357</td><td>False</td><td>False</td><td>3</td></tr>\n",
       "<tr><td>4</td><td>56545</td><td>189.628286547</td><td>62.3556161543</td><td>17.814164</td><td>0.0041586067</td><td>17.814242</td><td>0.0046634874</td><td>18.716585</td><td>0.0094207471</td><td>nan</td><td>nan</td><td>17.207484</td><td>0.0075612738</td><td>17.025781</td><td>0.0030234266</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>17.479952</td><td>0.0066494282</td><td>17.304919</td><td>0.0015447359</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>271.853169031</td><td>1.04125698783</td><td>271.833639623</td><td>1.16758817448</td><td>False</td><td>118.403897966</td><td>1.0273703442</td><td>nan</td><td>nan</td><td>False</td><td>475.342230793</td><td>3.31037386428</td><td>561.936963016</td><td>1.5648139521</td><td>False</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td><td>369.84453011</td><td>2.26505723706</td><td>434.542641476</td><td>0.61824743011</td><td>False</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td><td>False</td><td>3</td></tr>\n",
       "<tr><td>5</td><td>13347</td><td>189.217656547</td><td>62.0134881543</td><td>18.040184</td><td>0.0044899697</td><td>18.070827</td><td>0.0051187983</td><td>18.848658</td><td>0.0098118934</td><td>nan</td><td>nan</td><td>17.479103</td><td>0.013790164</td><td>17.323918</td><td>0.005858201</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>17.801745</td><td>0.0054735152</td><td>17.641571</td><td>0.0013170107</td><td>17.021179</td><td>0.007110339</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>220.763057358</td><td>0.912946841114</td><td>214.619510498</td><td>1.01184245369</td><td>False</td><td>104.842362813</td><td>0.947469636932</td><td>nan</td><td>nan</td><td>False</td><td>370.133846063</td><td>4.70114786335</td><td>427.004842282</td><td>2.3039484021</td><td>False</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td><td>274.980565019</td><td>1.38625781819</td><td>318.692321641</td><td>0.386577509131</td><td>False</td><td>564.323843203</td><td>3.69568023372</td><td>nan</td><td>nan</td><td>False</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td><td>False</td><td>3</td></tr>\n",
       "<tr><td>6</td><td>33732</td><td>188.922116547</td><td>62.1483151543</td><td>18.234287</td><td>0.0048001624</td><td>18.205662</td><td>0.0053361058</td><td>19.351663</td><td>0.012503191</td><td>nan</td><td>nan</td><td>17.565172</td><td>0.013496855</td><td>17.334085</td><td>0.0052682885</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>17.680522</td><td>0.0047218908</td><td>17.507849</td><td>0.0012942382</td><td>16.927863</td><td>0.0065859667</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>184.622743369</td><td>0.816238002398</td><td>189.554980557</td><td>0.931612510237</td><td>False</td><td>65.9682251941</td><td>0.759681141623</td><td>nan</td><td>nan</td><td>False</td><td>341.925271155</td><td>4.25049453577</td><td>423.024966747</td><td>2.05263263559</td><td>False</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td><td>307.461824509</td><td>1.33715828406</td><td>360.462756932</td><td>0.429685099985</td><td>False</td><td>614.97123171</td><td>3.73035368605</td><td>nan</td><td>nan</td><td>False</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td><td>False</td><td>3</td></tr>\n",
       "<tr><td>7</td><td>40897</td><td>189.530956547</td><td>62.2358551543</td><td>18.288337</td><td>0.0052005594</td><td>18.251848</td><td>0.0057442759</td><td>19.096991</td><td>0.011655387</td><td>nan</td><td>nan</td><td>17.528627</td><td>0.009440489</td><td>17.271398</td><td>0.0035973686</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>17.28701</td><td>0.0046700546</td><td>17.136656</td><td>0.0011595008</td><td>16.778201</td><td>0.0065448394</td><td>nan</td><td>nan</td><td>17.396387</td><td>0.015821402</td><td>17.195833</td><td>0.028350855</td><td>175.656894322</td><td>0.841377591481</td><td>181.660623311</td><td>0.961107068083</td><td>False</td><td>83.4072111259</td><td>0.895377090681</td><td>nan</td><td>nan</td><td>False</td><td>353.630080588</td><td>3.07481768705</td><td>448.167954697</td><td>1.48491440249</td><td>False</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td><td>441.769776021</td><td>1.90017516742</td><td>507.384972106</td><td>0.541856556396</td><td>False</td><td>705.86167115</td><td>4.25494816885</td><td>nan</td><td>nan</td><td>False</td><td>399.434156862</td><td>5.82057440891</td><td>480.470579716</td><td>12.5460969963</td><td>False</td><td>False</td><td>3</td></tr>\n",
       "<tr><td>8</td><td>64448</td><td>188.902346547</td><td>62.3639551543</td><td>18.546988</td><td>0.0053220592</td><td>18.500949</td><td>0.0058397072</td><td>19.407891</td><td>0.0084091621</td><td>nan</td><td>nan</td><td>17.664351</td><td>0.0084883903</td><td>17.486704</td><td>0.0035544478</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>17.909302</td><td>0.0059246818</td><td>17.642478</td><td>0.0014451062</td><td>17.443334</td><td>0.020336485</td><td>17.285809</td><td>0.0074940858</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>138.421898044</td><td>0.678516137471</td><td>144.417691976</td><td>0.776760535336</td><td>False</td><td>62.6388246415</td><td>0.485145496536</td><td>nan</td><td>nan</td><td>False</td><td>312.075446105</td><td>2.43983591777</td><td>367.551669711</td><td>1.20327867678</td><td>False</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td><td>249.045787368</td><td>1.35900141979</td><td>318.426204297</td><td>0.423822729735</td><td>False</td><td>382.530792317</td><td>7.16502930077</td><td>442.258715279</td><td>3.05260591254</td><td>False</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td><td>False</td><td>3</td></tr>\n",
       "<tr><td>9</td><td>56084</td><td>189.462416547</td><td>62.3636891543</td><td>18.404693</td><td>0.0054748544</td><td>18.377452</td><td>0.0060639134</td><td>19.265147</td><td>0.0096437775</td><td>nan</td><td>nan</td><td>17.628951</td><td>0.0089750802</td><td>17.492869</td><td>0.0037101607</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>17.930177</td><td>0.0066302296</td><td>17.808734</td><td>0.0018493184</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>17.943458</td><td>0.0247077</td><td>17.532182</td><td>0.07423976</td><td>157.805741411</td><td>0.795739751445</td><td>161.815157395</td><td>0.903749084677</td><td>False</td><td>71.4399595535</td><td>0.634547389618</td><td>nan</td><td>nan</td><td>False</td><td>322.418237814</td><td>2.66522340292</td><td>365.470561109</td><td>1.24888025921</td><td>False</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td><td>244.303224972</td><td>1.49187847517</td><td>273.21617062</td><td>0.465365057637</td><td>False</td><td>nan</td><td>nan</td><td>nan</td><td>nan</td><td>False</td><td>241.33304911</td><td>5.49192755236</td><td>352.474091648</td><td>24.101242876</td><td>False</td><td>False</td><td>3</td></tr>\n",
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       "display: inline-block; margin-right: 1em; }\n",
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       "require.config({paths: {\n",
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       "require([\"datatables\"], function(){\n",
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       "});\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "catalogue[:10].show_in_notebook()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "catalogue.write(\"{}/Hawaii.fits\".format(OUT_DIR), overwrite=True)"
   ]
  }
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