2000MNRAS.314..375R

Query : 2000MNRAS.314..375R

2000MNRAS.314..375R - Mon. Not. R. Astron. Soc., 314, 375-397 (2000/May-2)

The IRAS PSCz dipole.

ROWAN-ROBINSON M., SHARPE J., OLIVER S.J., KEEBLE O., CANAVEZES A., SAUNDERS W., TAYLOR A.N., VALENTINE H., FRENK C.S., EFSTATHIOU G.P., McMAHON R.G., WHITE S.D.M., SUTHERLAND W., TADROS H. and MADDOX S.

Abstract (from CDS):

We use the PSCz IRAS galaxy redshift survey to analyse the cosmological galaxy dipole out to a distance of 300h–1Mpc. The masked area is filled in three different ways, first by sampling the whole sky at random, secondly by using neighbouring areas to fill a masked region, and thirdly using a spherical harmonic analysis. The method of treatment of the mask is found to have a significant effect on the final calculated dipole.

The conversion from redshift space to real space is accomplished by using an analytical model of the cluster and void distribution, based on 88 nearby groups, 854 clusters and 163 voids, with some of the clusters and all of the voids found from the PSCz data base.

The dipole for the whole PSCz sample appears to have converged within a distance of 200h–1Mpc and yields a value for b=W0.6, b0.75–0.08+0.11, consistent with earlier determinations from IRAS samples by a variety of methods. For b=1, the 2σ range for Ω0 is 0.43-1.02.

The direction of the dipole is within 13° of the cosmic microwave background (CMB) dipole, the main uncertainty in direction being associated with the masked area behind the Galactic plane. The improbability of further major contributions to the dipole amplitude coming from volumes larger than those surveyed here means that the question of the origin of the CMB dipole is essentially resolved.


Abstract Copyright: 2000, Royal Astronomical Society

Journal keyword(s): galaxies: clusters: general - cosmic microwave background - large-scale structure of Universe - infrared: galaxies

Nomenclature: Tables 3, 7: [RSO2000] PC NNNNA N=129 among (Nos 3-1031). Table 8: [RSO2000] PV NNN N=163 among (Nos 1-196).

Status at CDS : All or part of tables of objects will not be ingested in SIMBAD.

Simbad objects: 246

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Number of rows : 246
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 3C 3 rG 00 08 29.29585 -05 58 45.0063     19     ~ 26 1
2 ACO 2731 ClG 00 10 11 -56 59.3           ~ 23 0
3 ZwCl 0013+2927 ClG 00 16.2 +29 44           ~ 4 0
4 ACO 2764 ClG 00 20 27 -49 13.3           ~ 32 0
5 NAME NGC 80 Group GrG 00 21 11 +22 21.4           ~ 18 0
6 [DEM94] 002419.6-484906 ClG 00 26 44.9 -48 32 30           ~ 2 0
7 NAME NGC 134 Group GrG 00 30 50.0 -32 56 41           ~ 6 0
8 HCG 7 CGG 00 39 15.9 +00 53 17   11.4       ~ 87 0
9 ACO 76 ClG 00 40 16.1031 +06 52 46.226           ~ 138 2
10 ACO 85 ClG 00 41 36.21 -09 19 30.4           ~ 974 0
11 ACO 102 ClG 00 48 40 +01 22.3           ~ 49 0
12 ACO 104 ClG 00 49 49.8 +24 27 01           ~ 49 0
13 [FWB89] GrG 271 GrG 00 51.2 +30 26   10.9       ~ 9 0
14 ACO S 109 ClG 00 57 46.73 -30 52 56.1           ~ 5 0
15 NAME PSC CL ClG 00 58 25.0 +30 39 11           ~ 131 1
16 NGC 383 AGN 01 07 24.9647814840 +32 24 45.132586200   13.6 12.14     ~ 821 3
17 NAME NGC 383 Group GrG 01 07 27.7 +32 23 59   11.1 14.1     ~ 85 0
18 ACO 2870 ClG 01 07 42.57 -46 54 28.9           ~ 38 1
19 ACO 151 ClG 01 08 52.3 -15 25 01           ~ 199 1
20 ACO 150 ClG 01 09 14 +13 10.0           ~ 57 0
21 ACO 2877 ClG 01 09 49.3 -45 54 02           ~ 160 2
22 ACO 2881 ClG 01 11 15 -17 05.1           ~ 14 1
23 NAME NGC 448 Group GrG 01 15.4 -01 37           ~ 1 0
24 ACO 189 ClG 01 23 40.4 +01 38 38           ~ 103 1
25 ACO 193 ClG 01 25 07.3 +08 41 36           ~ 192 0
26 NGC 547 rG 01 26 00.6208982520 -01 20 42.432452268   13.16 13.34     ~ 363 4
27 ACO 194 ClG 01 26 01.3 -01 22 02           ~ 363 2
28 [FWB89] GrG 25 GrG 01 27.8 -01 16   11.3       ~ 7 0
29 DV 33 GrG 01 35.1 -07 21           ~ 4 0
30 ZwCl 0144+1230 ClG 01 47 10.01 +12 56 06.8           ~ 5 0
31 ACO 260 ClG 01 50 46.811 +33 04 22.17           ~ 67 0
32 ACO 262 ClG 01 52 50.4 +36 08 46           ~ 727 1
33 NAME NGC 741 Group GrG 01 56 22 +05 37.6     14.3     ~ 54 0
34 ACO S 210 ClG 01 57 22.3 -64 22 40           ~ 8 0
35 ACO S 250 ClG 02 22 15 -51 06.4           ~ 3 0
36 ACO 347 ClG 02 25 50 +41 52.5           ~ 149 1
37 NAME Cet I GrG 02 28.2 -01 21           ~ 8 0
38 ACO S 274 ClG 02 31 10 -57 55.8           ~ 3 0
39 NAME NGC 1016 Group GrG 02 34.3 +01 04   11.5       ~ 7 1
40 ACO 376 ClG 02 45 48 +36 51.6           B8.5 161 1
41 ACO S 311 ClG 02 53 38.6880 -66 30 22.310           ~ 9 0
42 2A 0251+413 ClG 02 54 26.6 +41 33 25           ~ 328 1
43 ACO 400 ClG 02 57 37.4 +06 00 45           ~ 408 3
44 NAME NGC 1248 Group GrG 03 12.9 -05 13           ~ 2 0
45 ACO 426 ClG 03 19 47.6 +41 30 54           ~ 2508 1
46 [DEM94] 032026.6-245919 ClG 03 22 36.5 -24 48 40           ~ 2 0
47 ACO S 373 ClG 03 38 29.4 -35 27 08           ~ 2029 0
48 ACO 450 ClG 03 41 39 +23 29.6           ~ 14 0
49 ACO 3158 ClG 03 43 07.5 -53 38 09           ~ 327 0
50 ACO 3175 ClG 03 50 15 -18 02.0           ~ 5 0
51 ACO 3193 ClG 04 00 40.820 -52 44 02.72           ~ 34 0
52 DRCG 0410-62 ClG 04 04 00.7 -63 37 34           ~ 5 1
53 NAME Eridanus Star Cluster GlC 04 24 44.5 -21 11 13           ~ 192 1
54 ACO S 463 ClG 04 29 13.4 -53 44 02           ~ 50 0
55 ACO 3260 ClG 04 30 21 -21 00.6           ~ 2 0
56 ACO 496 ClG 04 33 40.8 -13 14 34           ~ 728 2
57 ACO S 487 ClG 04 40 25 -44 38.3           ~ 2 0
58 ACO S 497 ClG 04 46 06 -44 43.7           ~ 2 0
59 ACO S 500 ClG 04 46 43 -62 27.7           ~ 3 1
60 3C 129 rG 04 49 09.064 +45 00 39.40   19       ~ 273 2
61 ACO 521 ClG 04 54 08.6 -10 14 39           ~ 279 0
62 ACO 505 ClG 05 00 12 +80 00.6           ~ 50 0
63 NAME NGC 1800 Group GrG 05 06.4 -31 57           ~ 2 0
64 ACO 539 ClG 05 16 35.1 +06 27 14           ~ 255 2
65 ACO 540 ClG 05 25 31 -25 41.4           ~ 4 0
66 ACO 548 ClG 05 47 01.7 -25 36 59           B8 209 2
67 ACO 3374 ClG 05 56 55 -21 15.7           ~ 16 0
68 ACO 3376 ClG 06 01 25.000 -39 59 51.00           ~ 334 0
69 ACO 3380 ClG 06 06 57 -49 29.5           ~ 21 2
70 ACO S 584 ClG 06 22 57 -53 35.6           ~ 4 0
71 ACO 569 ClG 07 09 10.4 +48 37 10           ~ 172 1
72 ACO 576 ClG 07 21 24.1 +55 44 20           ~ 312 1
73 ACO 582 ClG 07 28 11 +41 57.8           ~ 16 0
74 ACO 595 ClG 07 49 23.46 +52 02 56.9           ~ 43 0
75 ACO 634 ClG 08 14 33 +58 02.9           ~ 99 0
76 NGC 2563 GiG 08 20 35.6870161656 +21 04 04.111020012   13.7 12.39     ~ 163 1
77 NAME NGC 2563 Group GrG 08 20 39.46 +21 04 45.6           ~ 41 0
78 NAME Cancer Cluster ClG 08 20 54 +21 04.5           ~ 161 0
79 NAME NGC 2577 Group GrG 08 22.7 +22 33           ~ 2 0
80 ACO 780 ClG 09 18 30 -12 15.7           ~ 469 0
81 NGC 2832 LIN 09 19 46.853 +33 44 59.07   13.3 13.17     ~ 274 3
82 ACO 779 ClG 09 20 02.70 +33 45 29.7           ~ 261 0
83 ACO 841 ClG 09 38 36 -04 11.6           ~ 15 0
84 NAME NGC 2964 Group GrG 09 43.0 +31 51           ~ 2 0
85 NAME NGC 2997 Group GrG 09 43 54.7 -31 31 10           ~ 16 0
86 NAME NGC 3090 Group GrG 10 00 37.93 -02 57 45.3     13.88     ~ 46 0
87 NAME NGC 3166 Group GrG 10 13 34.08 +03 20 23.6   10.6       ~ 19 0
88 ACO 957 ClG 10 14 02.35 -00 53 30.0           ~ 225 2
89 NAME NGC 3190 Group GrG 10 18.5 +21 54           ~ 6 0
90 ACO 979 ClG 10 20 19.8 -07 53 37           ~ 46 1
91 ACO 999 ClG 10 23 22.1 +12 51 48           ~ 91 1
92 ACO 1003 ClG 10 24 55.03 +47 47 56.5           ~ 40 0
93 ACO 1016 ClG 10 27.0 +10 59           ~ 82 1
94 ACO 1020 ClG 10 27 50.7 +10 24 40           ~ 63 0
95 ACO S 636 ClG 10 29 41.0957 -35 19 32.908           ~ 248 0
96 GHCG 63 GrG 10 34 +64.5   10.9       ~ 6 0
97 NAME Hydra I Cluster ClG 10 36 36.0 -27 31 04           ~ 905 1
98 NGC 3311 EmG 10 36 42.821 -27 31 42.02   11.93 10.93 10.00 9.67 ~ 310 2
99 ACO 1139 ClG 10 58 01.63 +01 38 05.4           ~ 162 3
100 [R88] 33 GrG 11 00.0 +14 51           ~ 2 1
101 ACO 1142 ClG 11 00 56.74 +10 30 15.2           ~ 157 1
102 NAME NGC 3504 Group GrG 11 03.2 +27 59           ~ 2 0
103 NAME NGC 3478 Group GrG 11 03.9 +45 52   11.3       ~ 6 0
104 NGC 3497 Sy2 11 07 18.0886738608 -19 28 17.398110144   12.79       ~ 52 0
105 ACO 1177 ClG 11 09 47.07 +21 46 48.7           ~ 103 1
106 ACO S 665 ClG 11 25 50 -35 23.5           ~ 4 1
107 ACO 1254 ClG 11 27 41.1809 +71 03 34.580           ~ 50 0
108 ACO 1267 ClG 11 27 56 +26 51.5           ~ 54 0
109 ACO 1270 ClG 11 29 08.84 +54 06 55.4           ~ 51 0
110 ACO 1275 ClG 11 29 45.44 +36 37 49.4           ~ 50 0
111 NAME NGC 6861 Group GrG 11 30 +28.1   13.1       ~ 5 0
112 GHCG 81 GrG 11 30.3 +22 38   12.6       ~ 3 0
113 ACO 1308 ClG 11 32 58.53 -03 53 14.2           ~ 66 0
114 NAME NGC 3735 Group GrG 11 36 47 +70 33.1           ~ 5 0
115 ACO 1356 ClG 11 42 16.6 +10 27 02           ~ 46 0
116 ACO 1367 ClG 11 44 44.6 +19 41 59           ~ 1127 1
117 [FWB89] GrG 51 GrG 11 46.6 +20 18   10.7       ~ 8 0
118 ACO 1377 ClG 11 47 18.24 +55 43 29.1           ~ 148 1
119 NAME UMa I N Cluster GrG 11 56 00 +49 52.5           ~ 15 0
120 NAME NGC 4027 Group GrG 11 58.4 -19 32           ~ 2 0
121 NAME NGC 4073 Group GrG 12 04 44.08 +01 48 40.9     13.53     ~ 292 0
122 ACO 1468 ClG 12 05 14.00 +51 26 21.0           ~ 55 0
123 NAME NGC 4120 Group GrG 12 07.8 +67 23           ~ 2 0
124 NAME NGC 4169 Group GrG 12 09.3 +29 20   11.2       ~ 8 0
125 AWM 2 ClG 12 15.6 +23 58     14.01     ~ 20 0
126 NAME Coma I Group GrG 12 22 19.4 +29 53 47           ~ 112 0
127 NGC 4373 rG 12 25 17.8183715160 -39 45 35.245218672   11.59 11.05 10.09   ~ 116 2
128 NAME NGC 4373 Group GrG 12 26 -39.8           ~ 5 0
129 NAME Virgo Cluster ClG 12 30 47.8 +12 23 07           ~ 7107 0
130 [R88] 47 GrG 12 30.8 +12 23           ~ 2 0
131 NAME NGC 4696 Group GrG 12 41 51 -40 41.2           ~ 11 0
132 ACO 3526 ClG 12 48 49.2 -41 18 17           ~ 1154 2
133 NGC 4696 rG 12 48 49.2724775784 -41 18 39.304053252   11.21   10.7   ~ 510 3
134 NAME NGC 4729 Group GrG 12 49.9 -41 13           ~ 2 0
135 ACO 1656 ClG 12 59 44.40 +27 54 44.9           ~ 5141 2
136 NGC 4889 EmG 13 00 08.097 +27 58 37.29 12.93 13.0 11.30 11.652 10.906 ~ 742 1
137 GHCG 113 GrG 13 00 26.26 +28 00 59.2   10.3       ~ 6 0
138 ACO 3537 ClG 13 01 01.64 -32 26 20.6           ~ 52 3
139 NAME NGC 4936 Group ClG 13 04 16.89 -30 31 34.5           ~ 5 0
140 NGC 4936 Sy2 13 04 17.091 -30 31 34.71   11.76 12.23 10.13 10.9 ~ 115 0
141 NAME Shapley Supercluster SCG 13 06.0 -33 04           ~ 677 0
142 NAME NGC 5033 Group GrG 13 13 27 +36 35.6           ~ 8 0
143 NAME NGC 5044 Group GrG 13 14 22.7 -16 32 04           ~ 186 0
144 NAME NGC 5061 Group GrG 13 18.1 -26 50           ~ 3 0
145 ACO 1709 ClG 13 18 42 -21 27.8           ~ 27 0
146 NGC 5077 rG 13 19 31.66962921 -12 39 25.0765176   13.87 12.85 11.30   ~ 312 1
147 NAME NGC 5077 Group GrG 13 20 12 -12 49.3           ~ 6 0
148 ACO 1736 ClG 13 26 52.1 -27 06 33           ~ 268 2
149 NAME NGC 5056 Group GrG 13 27.7 +32 25   11.6       ~ 5 0
150 NAME NGC 5171 Group GrG 13 29 05.10 +11 45 04.8     4.7     ~ 78 0
151 ACO 1749 ClG 13 29 32 +37 37.5           ~ 63 0
152 NAME IC 4296 Group GrG 13 33 34 -33 37.3           ~ 19 0
153 ACO 3565 ClG 13 36 39 -33 58.3           ~ 116 1
154 ACO S 740 ClG 13 43 32 -38 11.1           ~ 21 0
155 NAME NGC 5322 Group GrG 13 46 42.25 +60 21 53.2   10.3       ~ 29 0
156 ACO 3571 ClG 13 47 32.4 -32 50 12           ~ 308 2
157 ACO 3572 ClG 13 48 11 -33 22.9           ~ 30 0
158 ACO 1793 ClG 13 48 26.06 +32 14 21.8           ~ 45 0
159 ACO 1795 ClG 13 48 47.4 +26 34 55           ~ 1330 0
160 NAME NGC 5336 Group GrG 13 52.2 +43 14           ~ 2 0
161 ACO 3575 ClG 13 52 35 -32 52.8           ~ 33 0
162 TG 77 GrG 13 55 +39.9           ~ 3 0
163 NAME NGC 5400 Group ClG 14 00 04 -02 47.0     14.30     ~ 21 0
164 NAME NGC 5422 Group GrG 14 00.7 +55 10           ~ 2 0
165 NGC 5416 GiC 14 02 11.3093203536 +09 26 24.252528264   13.6       ~ 80 0
166 ZwCl 1400+0949 ClG 14 02.9 +09 35           ~ 15 0
167 NAME NGC 5419 Group GrG 14 03 -33.0           ~ 2 0
168 NAME NGC 5424 Group GrG 14 03.0 +09 26   11.5 14.66     ~ 41 1
169 NGC 5419 rG 14 03 38.7225244848 -33 58 41.881842120   11.77 11.33 10.21 14.44 ~ 208 3
170 ACO S 754 ClG 14 06 20 -39 49.3           ~ 3 0
171 ACO 3581 ClG 14 07 29.8 -27 01 04           ~ 197 3
172 NAME NGC 5483 Group GrG 14 10.4 -43 19           ~ 2 0
173 NAME NGC 5557 Group GrG 14 23.9 +36 01   10.6       ~ 14 0
174 AWM 3 ClG 14 28 01.9 +25 34 10     13.50     ~ 40 0
175 [R88] 62 GrG 14 33.4 +04 27           ~ 2 1
176 ACO 1983 ClG 14 52 59.33 +16 46 11.0           ~ 249 1
177 ACO S 778 ClG 14 56 27 -37 36.1           ~ 3 0
178 ACO 2020 ClG 15 03.5 +07 53           ~ 34 0
179 ACO 2022 ClG 15 04 18.34 +28 30 25.5           ~ 95 0
180 ACO 2052 ClG 15 16 41.64 +07 01 45.5           ~ 756 1
181 ACO 2063 ClG 15 23 01.8 +08 38 22           ~ 414 2
182 ACO 2079 ClG 15 28 04.7 +28 52 40           ~ 138 0
183 ACO 2151 ClG 16 05 15.0 +17 44 55           ~ 594 3
184 ACO 2152 ClG 16 05 22.4 +16 26 55           ~ 165 0
185 ACO 2162 ClG 16 12 30.0 +29 32 23           ~ 149 0
186 ACO 3627 ClG 16 14 22.5 -60 52 07           ~ 340 2
187 ACO 2184 ClG 16 21 02 +50 12.0           ~ 35 0
188 ACO 2197 ClG 16 27 48.01 +40 58 04.5           ~ 290 0
189 ACO 2250 ClG 17 11.0 +39 41           ~ 69 0
190 ACO 2271 ClG 17 17 17.5 +78 01 00           ~ 70 0
191 ACO 2308 ClG 18 34 09.4 +70 57 28           ~ 36 0
192 ACO 2309 ClG 18 42 03 +77 42.1           ~ 21 0
193 ACO S 805 ClG 18 47 14.4 -63 19 45           ~ 137 3
194 NAME IC 4797 Group ClG 19 00 -55.0           ~ 2 0
195 ACO 2319 ClG 19 21 14.0 +43 56 57           ~ 495 1
196 ACO 3651 ClG 19 52 10.9 -55 05 16           ~ 74 0
197 [T87] 1957.2-3840 GrG 19 58 53.9 -38 20 43           ~ 45 2
198 ACO S 840 ClG 20 03 28.4 -55 56 47           ~ 20 1
199 NAME NGC 6868 Group GrG 20 09 39.6 -48 19 39           ~ 36 0
200 ACO 3667 ClG 20 12 33.68 -56 50 26.3           ~ 676 1
201 NAME Pavo Cluster ClG 20 18 14.2 -70 50 41           ~ 49 0
202 NGC 6876 GiG 20 18 19.146 -70 51 31.80   11.76 11.54 10.45   ~ 130 0
203 NAME Pavo I Group GrG 20 18 19.2 -70 51 31           ~ 20 0
204 ACO S 866 ClG 20 21 50 -49 42.4           ~ 3 0
205 ACO 3676 ClG 20 25 19 -40 21.2           ~ 8 0
206 ACO 3677 ClG 20 26 21 -33 21.1           ~ 28 0
207 ACO 3698 ClG 20 35 58 -25 16.6           ~ 31 0
208 ACO S 889 ClG 20 40 00 -53 03.4           ~ 2 0
209 ACO S 894 ClG 20 43 35 -26 25.1           ~ 10 1
210 NAME NGC 7242 Group GrG 20 56 +29.0           ~ 1 0
211 ACO 3733 ClG 21 01 50.0 -28 06 54           ~ 64 3
212 ACO 3742 ClG 21 06 41 -47 08.9           ~ 45 2
213 ACO 3744 ClG 21 07 13.8 -25 28 54           ~ 80 1
214 NGC 7014 Sy1 21 07 52.1518322976 -47 10 44.295026412   12.93 12.25 11.56   ~ 103 1
215 ACO 3747 ClG 21 08 41 -43 29.8           ~ 20 0
216 NAME NGC 7385 Group GrG 21 18 +03.0           ~ 1 0
217 ACO 3809 ClG 21 46 57.5 -43 54 06           ~ 99 0
218 ACO 2388 ClG 21 53 34 +08 14.2           ~ 22 0
219 ACO 2401 ClG 21 58 22.6 -20 06 13           ~ 71 0
220 [DEM94] 215552.6-720610 ClG 22 00 10 -71 51.8           ~ 2 0
221 [DEM94] 220357.9-460014 ClG 22 07 04.1 -45 45 14           ~ 3 0
222 ACO 3880 ClG 22 27 49.5 -30 34 40           ~ 104 2
223 ACO 2469 ClG 22 40 28 +12 15.7           ~ 24 0
224 ACO S 1065 ClG 22 49 19 -37 29.1           ~ 15 1
225 ACO 3925 ClG 22 51 49 -46 35.1           ~ 9 0
226 NAME Grus GrG 23 18 -42.4           ~ 42 0
227 ACO 2572 ClG 23 18 31.2 +18 41 52           ~ 142 1
228 NGC 7619 GiG 23 20 14.524 +08 12 22.63   12.7       ~ 472 0
229 NAME NGC 7619 Group GrG 23 20 32.1 +08 22 26           ~ 48 0
230 NAME Peg I ClG 23 21 +08.3           ~ 71 0
231 ACO 2589 ClG 23 24 00.5 +16 49 29           ~ 327 1
232 ACO 2592 ClG 23 24 18 +18 08.5           ~ 20 0
233 ACO 2593 ClG 23 24 27.15 +14 33 40.2           ~ 231 0
234 ACO 2626 ClG 23 36 31.0 +21 09 36           ~ 265 0
235 ACO 2634 ClG 23 38 18.4 +27 01 37           ~ 515 2
236 NGC 7720 Sy1 23 38 29.38324020 +27 01 53.2580084   13.9 13.3     ~ 565 4
237 ACO 2657 ClG 23 44 51.0 +09 08 40           ~ 280 3
238 ACO 2660 ClG 23 45 18 -25 58.3           ~ 39 0
239 ACO 4038 ClG 23 47 31.1 -28 12 10           ~ 349 3
240 GHCG 173 GrG 23 50.0 +27 52   11.7       ~ 4 0
241 ACO 2666 ClG 23 50 56.2 +27 08 41           ~ 204 0
242 ACO S 1166 ClG 23 59 40 -66 54.3           ~ 2 0
243 NAME NGC 2832 Group GrG ~ ~           ~ 1 0
244 NAME NGC 194 Group GrG ~ ~           ~ 1 0
245 NAME NGC 4889 Group GrG ~ ~           ~ 6 0
246 NAME Pup Cluster ClG ~ ~           ~ 21 0

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