2001AJ....122.2205R


Query : 2001AJ....122.2205R

2001AJ....122.2205R - Astron. J., 122, 2205-2221 (2001/November-0)

A K-band-selected photometric redshift catalog in the Hubble Deep Field South: sampling the rest-frame V band to z=3.

RUDNICK G., FRANX M., RIX H.-W., MOORWOOD A., KUIJKEN K., VAN STARKENBURG L., VAN DER WERF P., ROETTGERING H., VAN DOKKUM P. and LABBE I.

Abstract (from CDS):

We present the first results from the Faint Infra-Red Extragalactic Survey of the Hubble Deep Field South (HDF-S). Using a combination of deep near-infrared (NIR) data obtained with the Infrared Spectrograph and Array Camera at the VLT and the WFPC2 Hubble Space Telescope data, we construct a K-band-selected sample which is 50% and 90% complete for K_s,AB_≤23.5 and K_s,AB_≤22.0, respectively, where the magnitudes are measured over a 2".0 diameter aperture. For z≤3, our selection by the K-band flux chooses galaxies based on wavelengths redder than the rest-frame V band, and so selects them in a way that is less dependent on their current star formation rates than selection in the rest-frame UV. We developed a new photometric redshift technique that models the observed spectral energy distribution (SED) with a linear combination of empirical galaxy templates. We tested this technique using 150 spectroscopic redshifts in the Hubble Deep Field North (HDF-N) from the Cohen et al. sample (published in 2000) and found Δz/(1+z)~0.07 for z<6. We show that we can derive realistic error estimates in zphot by combining the systematic uncertainties derived from the HDF-N with errors in zphot, which depend on the observed flux errors. We estimate photometric redshifts for 136 galaxies in the HDF-S from the full seven-band, 0.3-2.2 µm SED. In finding the correct zphot, our deep NIR data is important for breaking the redshift degeneracy between templates of identical observed optical colors. The redshift histogram of galaxies in the HDF-S shows distinct structure with a sharp peak at z~0.5 and a broad enhancement at z∼1-1.4. We find that 12% of our galaxies with K_s,vega_<21 lie at z≥2. While this is higher than the fraction predicted in ΩM=1 hierarchical models of galaxy formation, we find that published predictions using pure luminosity evolution models produce too many bright galaxies at redshifts greater than unity. Finally, we use our broad wavelength coverage to measure the rest-frame UBV luminosities, Lrest, for z≤3. There is a paucity of galaxies brighter than LrestV≥1.4x1010 h–2 L☉ at z∼1.5-2, similar to what Dickinson found for the HDF-N (published in 2001). However, zphot is particularly uncertain in this regime, and spectroscopic confirmation is required. We also note that at z>2 we find very luminous galaxies with LrestV≥5x1010 h–2 L☉ (for ΩM=0.3, ΩΛ=0.7, and H0=100 h km.s–1 Mpc–1). Local B-band luminosity functions predict 0.1 galaxies in the redshift range 2≤z≤3.5 and with LrestB≥5x1010 h–2 L☉,B, but we find nine. The discrepancy can be explained if L*B increases by a factor of 2.4-3.2 with respect to locally determined values. Random errors in the photometric redshift can also play a role, and spectroscopic confirmation of the redshifts of these bright galaxies is required.

Abstract Copyright: ∼

Journal keyword(s): Galaxies: Distances and Redshifts - Galaxies: Evolution - Galaxies: Formation - Galaxies: High-Redshift - Galaxies: Photometry

VizieR on-line data: <Available at CDS (J/AJ/122/2205): table1.dat table3.dat>

Nomenclature: Table 3: [RFR2001] HDFS N-NNN N=136.

Simbad objects: 138

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Number of rows : 138
N Identifier Otype ICRS (J2000)
RA
ICRS (J2000)
DEC
Mag U Mag B Mag V Mag R Mag I Sp type #ref
1850 - 2026
#notes
1 NAME Hubble Deep Field reg 12 36 49.5 +62 12 58           ~ 1967 1
2 [EAD2001] HDFS J223245.58-603347.3 G 22 32 45.6106 -60 33 47.249 25.317 24.588 24.454   24.071 ~ 8 0
3 [CDD2000] HDFS J223246.71-603207.2 G 22 32 46.6194 -60 32 07.003 26.202 24.183 23.489   23.083 ~ 8 0
4 [CDD2000] HDFS J223246.80-603233.8 G 22 32 46.7569 -60 32 33.676 29.097 30.488 27.822   27.031 ~ 7 0
5 [EAD2001] HDFS J223246.90-603354.9 G 22 32 46.9446 -60 33 54.876 27.428 24.488 22.644   21.372 ~ 11 0
6 [CDD2000] HDFS J223247.03-603303.0 G 22 32 47.0448 -60 33 02.930 26.200 25.269 24.913   24.386 ~ 7 0
7 [CDD2000] HDFS J223247.48-603344.1 G 22 32 47.5345 -60 33 44.030 27.970 26.258 25.146   24.220 ~ 7 0
8 [EAD2001] HDFS J223247.58-603408.6 G 22 32 47.6329 -60 34 08.733 24.230 23.392 22.438 21.71 21.656 ~ 13 0
9 [EAD2001] HDFS J223247.67-603252.4 G 22 32 47.6572 -60 32 52.206 24.917 24.585 23.887   23.382 ~ 9 0
10 [EAD2001] HDFS J223247.66-603335.9 G 22 32 47.6994 -60 33 35.744 23.779 22.656 21.326   20.227 ~ 20 0
11 [CEB99] J223247.62-603220.61 G 22 32 47.7500 -60 32 19.472   25       ~ 8 0
12 [CDD2000] HDFS J223248.03-603309.4 G 22 32 48.0556 -60 33 09.354   25.815 25.498   25.031 ~ 6 0
13 [CDD2000] HDFS J223248.20-603218.2 G 22 32 48.201 -60 32 18.18           ~ 4 0
14 [EAD2001] HDFS J223248.24-603355.1 G 22 32 48.3068 -60 33 54.995 26.312 25.052 24.290   23.415 ~ 12 0
15 [CDD2000] HDFS J223248.37-603237.9 G 22 32 48.3469 -60 32 37.923 27.298 26.227 25.145   24.819 ~ 8 0
16 [EAD2001] HDFS J223248.48-603228.6 G 22 32 48.4224 -60 32 28.545 26.325 24.963 24.639   23.938 ~ 8 0
17 [EAD2001] HDFS J223248.56-603314.0 G 22 32 48.5926 -60 33 13.876 24.727 24.498 23.972   23.379 ~ 9 0
18 [CDD2000] HDFS J223248.84-603203.6 G 22 32 48.7510 -60 32 03.503 25.705 25.219 24.848   24.106 ~ 9 0
19 [EAD2001] HDFS J223248.88-603216.1 G 22 32 48.8194 -60 32 16.023 25.661 24.761 23.867   23.112 ~ 10 0
20 [CDD2000] HDFS J223248.86-603154.3 G 22 32 48.84 -60 31 54.1           ~ 4 0
21 [EAD2001] HDFS J223249.09-603205.9 IG 22 32 48.9948 -60 32 05.720 25.539 24.159 23.928   23.672 ~ 10 0
22 [EAD2001] HDFS J223249.18-603226.0 G 22 32 49.1360 -60 32 25.957 28.318 24.307 23.800   23.633 ~ 11 0
23 [CDD2000] HDFS J223249.24-603211.6 G 22 32 49.1783 -60 32 11.617           ~ 7 0
24 [CDD2000] HDFS J223249.23-603253.4 G 22 32 49.2194 -60 32 53.390 25.014 24.341 23.535   22.813 ~ 9 0
25 [CDD2000] HDFS J223249.46-603157.8 G 22 32 49.3656 -60 31 57.797   28.527 27.311   25.912 ~ 6 0
26 [CDD2000] HDFS J223249.43-603343.8 G 22 32 49.4718 -60 33 43.696 26.727 26.356 25.371   24.618 ~ 8 0
27 [EAD2001] HDFS J223249.50-603311.2 G 22 32 49.5159 -60 33 11.088 25.043 24.560 23.834   23.246 ~ 10 0
28 [EAD2001] HDFS J223249.85-603406.2 G 22 32 49.9302 -60 34 06.361           ~ 7 0
29 [EAD2001] HDFS J223250.00-603345.2 G 22 32 50.0643 -60 33 45.001 24.802 24.433 24.244   23.757 ~ 9 0
30 [EAD2001] HDFS J223250.29-603203.3 G 22 32 50.2021 -60 32 03.362 24.600 23.847 22.934 22.24 22.356 ~ 13 0
31 [RFR2001] HDFS 1-62 G 22 32 50.2634 -60 32 01.091           ~ 3 0
32 [CDD2000] HDFS J223250.49-603222.7 G 22 32 50.4442 -60 32 22.579           ~ 5 0
33 [EAD2001] HDFS J223250.55-603325.9 G 22 32 50.5950 -60 33 25.797 25.267 24.411 23.530   22.803 ~ 9 0
34 [EAD2001] HDFS J223250.68-603328.5 G 22 32 50.7275 -60 33 28.510   24.07       ~ 9 0
35 HDFS J223250.72-603326.0 G 22 32 50.7298 -60 33 25.790 25.586 24.808 24.273   23.616 ~ 6 0
36 [EAD2001] HDFS J223250.90-603243.0 LeI 22 32 50.8921 -60 32 42.531 25.454 23.832 22.307   21.114 ~ 16 0
37 [CDD2000] HDFS J223250.97-603405.0 G 22 32 51.0396 -60 34 04.886 24.855 24.391 24.270   23.732 ~ 8 0
38 [EAD2001] HDFS J223251.11-603408.2 G 22 32 51.1881 -60 34 08.130 27.466 25.409 24.261   23.679 ~ 8 0
39 [CDD2000] HDFS J223251.17-603301.4 G 22 32 51.1884 -60 33 01.353 26.261 25.114 24.862   24.313 ~ 7 0
40 [LFR2003] 10004 G 22 32 51.310 -60 34 01.64 26.701 25.792 25.445   24.70 ~ 6 0
41 EIS-DEEP HDFS-2 Ks 1 526 G 22 32 51.5550 -60 33 37.445     22.94   22.08 ~ 14 0
42 [EAD2001] HDFS J223251.65-603212.6 G 22 32 51.5887 -60 32 12.643 25.275 24.869 24.619   24.058 ~ 8 0
43 [LFR2003] 149 G 22 32 51.6072 -60 33 58.224 27.829 28.472 27.587   26.08 ~ 7 0
44 [CDD2000] HDFS J223251.67-603306.0 G 22 32 51.6783 -60 33 05.953   27.377 26.162   24.351 ~ 9 0
45 [CDD2000] HDFS J223251.89-603206.0 G 22 32 51.8213 -60 32 05.914 34.005 25.869 25.131   24.861 ~ 7 0
46 [CDD2000] HDFS J223252.04-603154.0 G 22 32 51.9563 -60 31 54.031 27.176 26.550 26.097   25.413 ~ 6 0
47 [EAD2001] HDFS J223252.02-603214.9 G 22 32 51.9626 -60 32 15.000           ~ 6 0
48 [CDD2000] HDFS J223252.02-603224.1 G 22 32 51.9789 -60 32 24.253   26.636 25.426   25.116 ~ 9 0
49 [CDD2000] HDFS J223252.09-603218.6 G 22 32 52.0395 -60 32 18.607 27.395 25.818 25.444   24.924 ~ 6 0
50 [EAD2001] HDFS J223252.25-603152.8 G 22 32 52.1505 -60 31 52.729 26.072 24.626 24.337   23.753 ~ 10 0
51 [LFR2003] 314 G 22 32 52.1962 -60 33 23.784 24.762 23.858 23.514   22.83 ~ 14 0
52 [LFR2003] 99 PaG 22 32 52.2186 -60 33 59.379 24.932 24.092 23.073   21.78 ~ 16 0
53 [EAD2001] HDFS J223252.29-603308.5 G 22 32 52.3104 -60 33 08.371 24.290 23.521 22.648   21.899 ~ 11 0
54 [LFR2003] 91 G 22 32 52.3115 -60 34 02.675 24.838 24.052 23.077   21.97 ~ 16 0
55 [LFR2003] 270 G 22 32 52.3960 -60 33 32.877 24.601 24.125 23.370   22.72 ~ 15 0
56 [CDD2000] HDFS J223252.61-603215.5 G 22 32 52.5301 -60 32 15.612 30.699 26.375 25.720   25.049 ~ 6 0
57 [EAD2001] HDFS J223252.70-603153.2 G 22 32 52.6080 -60 31 53.198 25.887 25.180 24.944   24.154 ~ 10 0
58 [EAD2001] HDFS J223252.71-603207.3 G 22 32 52.6358 -60 32 07.293 23.967 23.464 22.675   22.181 ~ 14 0
59 [CDD2000] HDFS J223252.91-603215.7 G 22 32 52.8537 -60 32 15.848 28.143 27.829 27.551   26.866 ~ 6 0
60 [CDD2000] HDFS J223252.95-603158.5 G 22 32 52.8692 -60 31 58.592 26.298 25.729 25.373   24.833 ~ 6 0
61 EIS-DEEP HDFS-2 H 1 728 G 22 32 52.9172 -60 33 16.929     23.97   22.86 ~ 10 0
62 [EAD2001] HDFS J223253.06-603217.1 G 22 32 52.9862 -60 32 17.145           ~ 6 0
63 EIS-DEEP HDFS-2 Ks 1 492 G 22 32 53.0627 -60 33 28.386 25.098 24.436 23.775 23.84 22.56 ~ 21 0
64 HDFS J223253.00-603357.0 G 22 32 53.0775 -60 33 56.947     28.61   27.56 ~ 7 0
65 [EAD2001] HDFS J223253.09-603239.0 G 22 32 53.093 -60 32 39.04 26.136 25.557 24.756   24.020 ~ 7 0
66 HDFS J223253.12-603320.3 G 22 32 53.1284 -60 33 20.059     25.43   24.94 ~ 8 0
67 [EAD2001] HDFS J223253.34-603239.3 G 22 32 53.2759 -60 32 39.349 25.186 24.372 23.665 23.66 22.745 ~ 10 0
68 [CDD2000] HDFS J223253.29-603154.3 G 22 32 53.2834 -60 31 54.486           ~ 5 0
69 [CDD2000] HDFS J223253.37-603201.3 G 22 32 53.2946 -60 32 01.451 27.610 27.581 25.969   24.356 ~ 9 0
70 [LFR2003] 264 G 22 32 53.3376 -60 33 34.714 30.763 28.804 27.881   26.18 ~ 8 0
71 EIS-DEEP HDFS-2 H 1 813 G 22 32 53.4440 -60 33 33.058 26.053 25.631 25.059   23.75 ~ 13 0
72 [CDD2000] HDFS J223253.50-603232.1 G 22 32 53.4780 -60 32 32.072 25.966 25.488 25.352   24.830 ~ 7 0
73 [EAD2001] HDFS J223253.64-603236.0 G 22 32 53.6016 -60 32 36.090 24.126 23.076 22.095   21.540 ~ 10 0
74 [EAD2001] HDFS J223253.70-603206.2 G 22 32 53.6115 -60 32 06.202 26.709 25.668 24.734 24.68 23.457 ~ 13 0
75 EIS-DEEP HDFS-2 H 1 850 G 22 32 53.7848 -60 33 37.326 24.183 23.598 22.859   21.52 ~ 18 0
76 [EAD2001] HDFS J223253.92-603313.5 G 22 32 53.9336 -60 33 13.413 26.151 23.629 22.165 21.50 21.366 ~ 13 0
77 [EAD2001] HDFS J223254.03-603158.1 G 22 32 53.9415 -60 31 58.254           ~ 4 0
78 [EAD2001] HDFS J223254.02-603305.6 G 22 32 54.0224 -60 33 05.510 26.333 25.176 23.825   22.788 ~ 11 0
79 [EAD2001] HDFS J223254.05-603251.7 G 22 32 54.0392 -60 32 51.669 24.058 23.577 22.789 22.20 22.265 ~ 17 0
80 EIS-DEEP HDFS-2 H 1 859 G 22 32 54.0513 -60 33 41.275 26.137 26.032 25.159   24.15 ~ 11 0
81 SB-WF 2364-1848 G 22 32 54.2346 -60 33 22.390     27.61   26.58 ~ 6 0
82 EIS-DEEP HDFS-2 Ks 1 475 G 22 32 54.3444 -60 33 20.419     24.47   23.94 ~ 10 0
83 [CDD2000] HDFS J223254.41-603215.5 G 22 32 54.3455 -60 32 15.580 26.607 25.268 25.083   24.909 ~ 8 0
84 [CDD2000] HDFS J223254.78-603208.1 G 22 32 54.7128 -60 32 08.284 28.483 27.208 26.486   25.988 ~ 6 0
85 [EAD2001] HDFS J223254.78-603215.5 G 22 32 54.7162 -60 32 15.564 26.809 24.744 23.010   21.749 ~ 11 0
86 [LFR2003] 244 G 22 32 54.7236 -60 33 33.009 24.331 22.839 22.054   21.22 ~ 13 0
87 [LFR2003] 249 G 22 32 55.0007 -60 33 36.766 27.065 27.640 26.486   24.69 ~ 9 0
88 [LFR2003] 276 G 22 32 55.0222 -60 33 28.868 28.720 25.922 25.162   23.64 ~ 12 0
89 [LFR2003] 64 G 22 32 55.220 -60 34 10.15 25.731 24.923 24.526   23.42 ~ 11 0
90 [LFR2003] 75 G 22 32 55.250 -60 34 07.50 25.022 24.641 23.987   22.87 ~ 13 0
91 [EAD2001] HDFS J223255.54-603217.6 G 22 32 55.4610 -60 32 17.560 24.868 24.535 23.869   23.390 ~ 10 0
92 [EAD2001] HDFS J223255.72-603211.5 G 22 32 55.6417 -60 32 11.660 28.705 25.047 23.147   21.690 ~ 13 0
93 EIS-DEEP HDFS-2 J 1 839 G 22 32 55.7460 -60 33 33.618 26.002 25.424 24.889   23.42 ~ 15 0
94 [EAD2001] HDFS J223255.77-603213.5 G 22 32 55.755 -60 32 13.54 26.537 25.873 25.361   24.581 ~ 8 0
95 [LFR2003] 476 G 22 32 55.8865 -60 33 17.580 25.014 24.423 23.706   22.93 ~ 12 0
96 [EAD2001] HDFS J223256.05-603220.6 PaG 22 32 55.9950 -60 32 20.680 24.414 23.989 23.344   22.835 ~ 11 0
97 NAME HDF-S reg 22 32 56 -60 33.0           ~ 580 0
98 [CDD2000] HDFS J223256.17-603156.5 G 22 32 56.0776 -60 31 56.585   29.257 26.856   24.506 ~ 8 0
99 EIS-DEEP HDFS-2 Ks 1 652 G 22 32 56.080 -60 34 14.17 24.041 23.482 22.835   22.08 ~ 21 0
100 [CDD2000] HDFS J223256.22-603209.5 G 22 32 56.1561 -60 32 09.606 29.681 26.052 25.674   25.093 ~ 6 0
101 HDFS J223256.82-603331.6 G 22 32 56.8396 -60 33 31.727 28.396 28.199 26.950   25.09 ~ 9 0
102 EIS-DEEP HDFS-2 H 1 797 G 22 32 57.1131 -60 33 28.781   26.642 25.587   23.90 ~ 15 0
103 [EAD2001] HDFS J223257.06-603323.0 G 22 32 57.1309 -60 33 23.060           ~ 7 0
104 [EAD2001] HDFS J223257.22-603305.5 G 22 32 57.2172 -60 33 05.490 24.571 24.143 23.770 20.74 23.006 ~ 11 0
105 [LFR2003] 502 G 22 32 57.250 -60 33 23.33 27.824 26.842 26.555   25.911 ~ 3 0
106 [EAD2001] HDFS J223257.54-603306.1 G 22 32 57.5316 -60 33 06.060 23.082 22.262 21.514   20.796 ~ 21 0
107 [LFR2003] 189 G 22 32 57.9468 -60 33 49.013 25.442 25.093 24.150   23.06 ~ 11 0
108 EIS-DEEP HDFS-2 H 1 801 G 22 32 58.2471 -60 33 31.505 24.480 23.815 22.939   21.98 ~ 18 0
109 [LFR2003] 299 G 22 32 58.3124 -60 33 28.975   26.091 25.819   24.82 ~ 8 0
110 [HJN2005] 1.4GHz 284 AG? 22 32 58.6550 -60 33 46.479 27.190 29.798 27.088   25.12 ~ 16 0
111 [LFR2003] 145 G 22 32 59.2645 -60 33 57.480 27.057 26.284 25.467   24.63 ~ 7 0
112 [LFR2003] 227 G 22 32 59.4695 -60 33 39.586 24.521 23.828 22.988   21.99 ~ 14 0
113 [LFR2003] 301 G 22 32 59.4804 -60 33 28.793 25.814 25.144 24.926   24.19 ~ 9 0
114 SB-WF 1360-0405 G 22 32 59.560 -60 34 20.60   26.745 25.623   23.94 ~ 10 0
115 [LFR2003] 101 G 22 32 59.9061 -60 34 05.591 28.008 25.119 24.767   23.92 ~ 9 0
116 [CDD2000] HDFS J223259.99-603304.0 G 22 32 59.9740 -60 33 04.121 25.514 24.809 24.712   24.242 ~ 7 0
117 [CEB99] J223300.00-603333.45 G 22 33 00.0306 -60 33 33.905 27.246 27.791 26.630   24.807 ~ 8 0
118 [EAD2001] HDFS J223300.15-603319.0 G 22 33 00.1518 -60 33 19.006 24.740 24.427 24.008   23.307 ~ 10 0
119 [EAD2001] HDFS J223300.49-603417.7 G 22 33 00.5950 -60 34 17.894 26.235 26.770 24.946 24.95 23.392 ~ 13 0
120 [EAD2001] HDFS J223300.88-603325.9 IG 22 33 00.8953 -60 33 25.705 25.031 24.461 24.330   23.688 ~ 8 0
121 [EAD2001] HDFS J223300.87-603357.2 G 22 33 00.9312 -60 33 57.059 25.468 24.797 24.614   24.076 ~ 8 0
122 [EAD2001] HDFS J223301.55-603410.8 G 22 33 01.6451 -60 34 10.763 25.799 25.180 24.766   23.879 ~ 10 0
123 SB-WF 0966-1626 G 22 33 01.7687 -60 33 31.951           ~ 5 0
124 [EAD2001] HDFS J223301.77-603413.5 G 22 33 01.8573 -60 34 13.651 25.294 24.584 23.960 24.62 22.813 ~ 14 0
125 [EAD2001] HDFS J223301.89-603316.4 G 22 33 01.8904 -60 33 16.450 24.559 23.434 22.465 22.49 21.859 ~ 12 0
126 [CDD2000] HDFS J223301.95-603312.5 G 22 33 01.9401 -60 33 12.585 29.020 27.304 26.716   25.753 ~ 5 0
127 [EAD2001] HDFS J223302.45-603346.5 G 22 33 02.5188 -60 33 46.613 24.075 23.639 23.180   22.540 ~ 15 0
128 [EAD2001] HDFS J223302.76-603322.1 G 22 33 02.7708 -60 33 22.133 24.984 23.214 21.719   20.676 ~ 12 0
129 [CDD2000] HDFS J223302.74-603358.3 G 22 33 02.7718 -60 33 58.198 27.934 25.622 25.375   25.063 ~ 8 0
130 [EAD2001] HDFS J223302.81-603325.2 G 22 33 02.8309 -60 33 25.162           ~ 8 0
131 [CDD2000] HDFS J223302.83-603337.5 G 22 33 02.8465 -60 33 37.479 26.484 25.888 25.557   24.857 ~ 7 0
132 [CDD2000] HDFS J223303.01-603353.7 G 22 33 03.0987 -60 33 53.607   25.99       ~ 6 0
133 [EAD2001] HDFS J223303.21-603329.7 G 22 33 03.2279 -60 33 29.809 26.366 24.137 23.791   23.451 ~ 11 0
134 [EAD2001] HDFS J223303.58-603341.7 G 22 33 03.6179 -60 33 41.729 23.808 22.416 21.262   20.509 ~ 11 0
135 [CDD2000] HDFS J223303.93-603313.9 G 22 33 03.9268 -60 33 13.865 26.806 24.956 24.578   24.338 ~ 7 0
136 [EAD2001] HDFS J223304.27-603331.8 G 22 33 04.2695 -60 33 31.921 27.077 25.622 24.637   24.046 ~ 9 0
137 [EAD2001] HDFS J223304.44-603409.0 G 22 33 04.5454 -60 34 09.192 26.361 25.475 24.729   24.038 ~ 9 0
138 [CDD2000] HDFS J223304.96-603322.2 G 22 33 04.9780 -60 33 22.247           ~ 6 0

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