
2112 DEC. 24, 25, 26 (SAT, SUN, MON)
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| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
24 0 | 92 42.2 | 130 25.7 S16 32.9 | 104 13.9 S 5 44.7 | 225 43.0 S16 32.6 | 109 09.3 S 9 03.3
1 | 107 44.6 | 145 25.9 S16 31.9 | 119 14.7 S 5 43.9 | 240 45.0 S16 32.7 | 124 11.6 S 9 03.2
2 | 122 47.1 | 160 26.1 S16 31.0 | 134 15.6 S 5 43.2 | 255 47.0 S16 32.8 | 139 13.9 S 9 03.1
3 | 137 49.5 | 175 26.2 S16 30.0 | 149 16.4 S 5 42.4 | 270 49.0 S16 32.9 | 154 16.2 S 9 03.0
4 | 152 52.0 | 190 26.4 S16 29.1 | 164 17.3 S 5 41.7 | 285 51.0 S16 33.1 | 169 18.5 S 9 03.0
S 5 | 167 54.5 | 205 26.6 S16 28.1 | 179 18.1 S 5 40.9 | 300 53.0 S16 33.2 | 184 20.8 S 9 02.9
A
T 6 | 182 56.9 | 220 26.7 S16 27.2 | 194 18.9 S 5 40.2 | 315 54.9 S16 33.3 | 199 23.2 S 9 02.8
U 7 | 197 59.4 | 235 26.9 S16 26.2 | 209 19.8 S 5 39.4 | 330 56.9 S16 33.4 | 214 25.5 S 9 02.8
R 8 | 213 01.9 | 250 27.1 S16 25.3 | 224 20.6 S 5 38.7 | 345 58.9 S16 33.6 | 229 27.8 S 9 02.7
D 9 | 228 04.3 | 265 27.3 S16 24.3 | 239 21.5 S 5 38.0 | 1 00.9 S16 33.7 | 244 30.1 S 9 02.6
A 10 | 243 06.8 | 280 27.4 S16 23.4 | 254 22.3 S 5 37.2 | 16 02.9 S16 33.8 | 259 32.4 S 9 02.6
Y 11 | 258 09.3 | 295 27.6 S16 22.4 | 269 23.2 S 5 36.5 | 31 04.9 S16 33.9 | 274 34.7 S 9 02.5
12 | 273 11.7 | 310 27.8 S16 21.5 | 284 24.0 S 5 35.7 | 46 06.9 S16 34.0 | 289 37.0 S 9 02.4
13 | 288 14.2 | 325 28.0 S16 20.5 | 299 24.9 S 5 35.0 | 61 08.9 S16 34.2 | 304 39.3 S 9 02.3
14 | 303 16.7 | 340 28.2 S16 19.5 | 314 25.7 S 5 34.2 | 76 10.9 S16 34.3 | 319 41.6 S 9 02.3
15 | 318 19.1 | 355 28.3 S16 18.6 | 329 26.5 S 5 33.5 | 91 12.9 S16 34.4 | 334 43.9 S 9 02.2
16 | 333 21.6 | 10 28.5 S16 17.6 | 344 27.4 S 5 32.7 | 106 14.9 S16 34.5 | 349 46.2 S 9 02.1
17 | 348 24.0 | 25 28.7 S16 16.7 | 359 28.2 S 5 32.0 | 121 16.9 S16 34.7 | 4 48.5 S 9 02.1
18 | 3 26.5 | 40 28.9 S16 15.7 | 14 29.1 S 5 31.3 | 136 18.9 S16 34.8 | 19 50.8 S 9 02.0
19 | 18 29.0 | 55 29.1 S16 14.8 | 29 29.9 S 5 30.5 | 151 20.9 S16 34.9 | 34 53.1 S 9 01.9
20 | 33 31.4 | 70 29.3 S16 13.8 | 44 30.8 S 5 29.8 | 166 22.9 S16 35.0 | 49 55.4 S 9 01.9
21 | 48 33.9 | 85 29.5 S16 12.8 | 59 31.6 S 5 29.0 | 181 24.9 S16 35.2 | 64 57.7 S 9 01.8
22 | 63 36.4 | 100 29.7 S16 11.9 | 74 32.4 S 5 28.3 | 196 26.9 S16 35.3 | 80 00.1 S 9 01.7
23 | 78 38.8 | 115 29.9 S16 10.9 | 89 33.3 S 5 27.5 | 211 28.9 S16 35.4 | 95 02.4 S 9 01.6
------+----------+-------------------+-------------------+-------------------+--------------------
25 0 | 93 41.3 | 130 30.0 S16 10.0 | 104 34.1 S 5 26.8 | 226 30.9 S16 35.5 | 110 04.7 S 9 01.6
1 | 108 43.8 | 145 30.2 S16 09.0 | 119 35.0 S 5 26.0 | 241 32.9 S16 35.6 | 125 07.0 S 9 01.5
2 | 123 46.2 | 160 30.4 S16 08.0 | 134 35.8 S 5 25.3 | 256 34.9 S16 35.8 | 140 09.3 S 9 01.4
3 | 138 48.7 | 175 30.6 S16 07.1 | 149 36.7 S 5 24.5 | 271 36.9 S16 35.9 | 155 11.6 S 9 01.4
4 | 153 51.2 | 190 30.8 S16 06.1 | 164 37.5 S 5 23.8 | 286 38.9 S16 36.0 | 170 13.9 S 9 01.3
S 5 | 168 53.6 | 205 31.0 S16 05.2 | 179 38.4 S 5 23.0 | 301 40.9 S16 36.1 | 185 16.2 S 9 01.2
U
N 6 | 183 56.1 | 220 31.3 S16 04.2 | 194 39.2 S 5 22.3 | 316 42.9 S16 36.3 | 200 18.5 S 9 01.1
D 7 | 198 58.5 | 235 31.5 S16 03.2 | 209 40.0 S 5 21.6 | 331 44.9 S16 36.4 | 215 20.8 S 9 01.1
A 8 | 214 01.0 | 250 31.7 S16 02.3 | 224 40.9 S 5 20.8 | 346 46.9 S16 36.5 | 230 23.1 S 9 01.0
Y 9 | 229 03.5 | 265 31.9 S16 01.3 | 239 41.7 S 5 20.1 | 1 48.9 S16 36.6 | 245 25.4 S 9 00.9
10 | 244 05.9 | 280 32.1 S16 00.3 | 254 42.6 S 5 19.3 | 16 50.9 S16 36.8 | 260 27.7 S 9 00.9
11 | 259 08.4 | 295 32.3 S15 59.4 | 269 43.4 S 5 18.6 | 31 52.9 S16 36.9 | 275 30.0 S 9 00.8
12 | 274 10.9 | 310 32.5 S15 58.4 | 284 44.3 S 5 17.8 | 46 54.9 S16 37.0 | 290 32.3 S 9 00.7
13 | 289 13.3 | 325 32.7 S15 57.4 | 299 45.1 S 5 17.1 | 61 56.8 S16 37.1 | 305 34.6 S 9 00.7
14 | 304 15.8 | 340 32.9 S15 56.5 | 314 46.0 S 5 16.3 | 76 58.8 S16 37.2 | 320 36.9 S 9 00.6
15 | 319 18.3 | 355 33.2 S15 55.5 | 329 46.8 S 5 15.6 | 92 00.8 S16 37.4 | 335 39.2 S 9 00.5
16 | 334 20.7 | 10 33.4 S15 54.5 | 344 47.6 S 5 14.8 | 107 02.8 S16 37.5 | 350 41.5 S 9 00.4
17 | 349 23.2 | 25 33.6 S15 53.6 | 359 48.5 S 5 14.1 | 122 04.8 S16 37.6 | 5 43.8 S 9 00.4
18 | 4 25.6 | 40 33.8 S15 52.6 | 14 49.3 S 5 13.3 | 137 06.8 S16 37.7 | 20 46.1 S 9 00.3
19 | 19 28.1 | 55 34.0 S15 51.6 | 29 50.2 S 5 12.6 | 152 08.8 S16 37.9 | 35 48.4 S 9 00.2
20 | 34 30.6 | 70 34.3 S15 50.7 | 44 51.0 S 5 11.8 | 167 10.8 S16 38.0 | 50 50.7 S 9 00.1
21 | 49 33.0 | 85 34.5 S15 49.7 | 59 51.9 S 5 11.1 | 182 12.8 S16 38.1 | 65 53.0 S 9 00.1
22 | 64 35.5 | 100 34.7 S15 48.7 | 74 52.7 S 5 10.4 | 197 14.8 S16 38.2 | 80 55.3 S 9 00.0
23 | 79 38.0 | 115 34.9 S15 47.8 | 89 53.6 S 5 09.6 | 212 16.8 S16 38.3 | 95 57.6 S 8 59.9
------+----------+-------------------+-------------------+-------------------+--------------------
26 0 | 94 40.4 | 130 35.2 S15 46.8 | 104 54.4 S 5 08.9 | 227 18.8 S16 38.5 | 110 59.9 S 8 59.9
1 | 109 42.9 | 145 35.4 S15 45.8 | 119 55.3 S 5 08.1 | 242 20.8 S16 38.6 | 126 02.2 S 8 59.8
2 | 124 45.4 | 160 35.6 S15 44.9 | 134 56.1 S 5 07.4 | 257 22.8 S16 38.7 | 141 04.5 S 8 59.7
3 | 139 47.8 | 175 35.9 S15 43.9 | 149 56.9 S 5 06.6 | 272 24.8 S16 38.8 | 156 06.8 S 8 59.6
4 | 154 50.3 | 190 36.1 S15 42.9 | 164 57.8 S 5 05.9 | 287 26.8 S16 38.9 | 171 09.1 S 8 59.6
M 5 | 169 52.8 | 205 36.3 S15 42.0 | 179 58.6 S 5 05.1 | 302 28.8 S16 39.1 | 186 11.4 S 8 59.5
O
N 6 | 184 55.2 | 220 36.6 S15 41.0 | 194 59.5 S 5 04.4 | 317 30.8 S16 39.2 | 201 13.8 S 8 59.4
D 7 | 199 57.7 | 235 36.8 S15 40.0 | 210 00.3 S 5 03.6 | 332 32.8 S16 39.3 | 216 16.1 S 8 59.4
A 8 | 215 00.1 | 250 37.1 S15 39.0 | 225 01.2 S 5 02.9 | 347 34.8 S16 39.4 | 231 18.4 S 8 59.3
Y 9 | 230 02.6 | 265 37.3 S15 38.1 | 240 02.0 S 5 02.1 | 2 36.8 S16 39.6 | 246 20.7 S 8 59.2
10 | 245 05.1 | 280 37.5 S15 37.1 | 255 02.9 S 5 01.4 | 17 38.9 S16 39.7 | 261 23.0 S 8 59.1
11 | 260 07.5 | 295 37.8 S15 36.1 | 270 03.7 S 5 00.6 | 32 40.9 S16 39.8 | 276 25.3 S 8 59.1
12 | 275 10.0 | 310 38.0 S15 35.1 | 285 04.6 S 4 59.9 | 47 42.9 S16 39.9 | 291 27.6 S 8 59.0
13 | 290 12.5 | 325 38.3 S15 34.2 | 300 05.4 S 4 59.1 | 62 44.9 S16 40.0 | 306 29.9 S 8 58.9
14 | 305 14.9 | 340 38.5 S15 33.2 | 315 06.2 S 4 58.4 | 77 46.9 S16 40.2 | 321 32.2 S 8 58.8
15 | 320 17.4 | 355 38.8 S15 32.2 | 330 07.1 S 4 57.6 | 92 48.9 S16 40.3 | 336 34.5 S 8 58.8
16 | 335 19.9 | 10 39.0 S15 31.2 | 345 07.9 S 4 56.9 | 107 50.9 S16 40.4 | 351 36.8 S 8 58.7
17 | 350 22.3 | 25 39.3 S15 30.3 | 0 08.8 S 4 56.1 | 122 52.9 S16 40.5 | 6 39.1 S 8 58.6
18 | 5 24.8 | 40 39.5 S15 29.3 | 15 09.6 S 4 55.4 | 137 54.9 S16 40.6 | 21 41.4 S 8 58.6
19 | 20 27.3 | 55 39.8 S15 28.3 | 30 10.5 S 4 54.7 | 152 56.9 S16 40.8 | 36 43.7 S 8 58.5
20 | 35 29.7 | 70 40.1 S15 27.3 | 45 11.3 S 4 53.9 | 167 58.9 S16 40.9 | 51 45.9 S 8 58.4
21 | 50 32.2 | 85 40.3 S15 26.4 | 60 12.2 S 4 53.2 | 183 00.9 S16 41.0 | 66 48.2 S 8 58.3
22 | 65 34.6 | 100 40.6 S15 25.4 | 75 13.0 S 4 52.4 | 198 02.9 S16 41.1 | 81 50.5 S 8 58.3
23 | 80 37.1 | 115 40.8 S15 24.4 | 90 13.9 S 4 51.7 | 213 04.9 S16 41.2 | 96 52.8 S 8 58.2
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| v 0.2 d 1.0 | v 0.8 d 0.7 | v 2.0 d 0.1 | v 2.3 d 0.1
2112 DEC. 24, 25, 26 (SAT, SUN, MON)
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| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
24 0 | 180 12.1 S23 24.3 | 115 06.7 8.9 S14 00.4 11.2 59.2 | Acamar 314 21.6 S39 51.6
1 | 195 11.8 S23 24.2 | 129 34.7 9.0 S13 49.1 11.3 59.2 | Achernar 334 31.2 S56 40.3
2 | 210 11.5 S23 24.2 | 144 02.7 9.0 S13 37.7 11.4 59.2 | Acrux 171 46.0 S63 43.0
3 | 225 11.2 S23 24.1 | 158 30.8 9.1 S13 26.3 11.4 59.2 | Adhara 254 13.7 S29 07.8
4 | 240 10.9 S23 24.1 | 172 58.9 9.1 S13 14.8 11.5 59.2 | Albireo 66 11.3 N28 12.1
S 5 | 255 10.6 S23 24.0 | 187 27.1 9.2 S13 03.2 11.6 59.2 |
A | | | Aldebaran 289 23.7 N16 43.7
T 6 | 270 10.2 S23 24.0 | 201 55.3 9.2 S12 51.5 11.7 59.2 | Alioth 165 15.6 N55 20.8
U 7 | 285 09.9 S23 23.9 | 216 23.6 9.3 S12 39.7 11.8 59.2 | Alkaid 152 00.6 N48 45.0
R 8 | 300 09.6 S23 23.9 | 230 51.9 9.3 S12 27.9 11.8 59.2 | Al Na-ir 26 10.8 S46 25.0
D 9 | 315 09.3 S23 23.8 | 245 20.3 9.4 S12 16.0 11.9 59.2 | Alnilam 274 30.6 S 1 08.2
A 10 | 330 09.0 S23 23.8 | 259 48.7 9.4 S12 04.0 12.0 59.2 |
Y 11 | 345 08.7 S23 23.7 | 274 17.2 9.5 S11 52.0 12.0 59.2 | Alphard 216 42.8 S 9 09.0
| | | Alphecca 125 08.3 N26 20.3
12 | 0 08.4 S23 23.7 | 288 45.7 9.5 S11 39.9 12.1 59.2 | Alpheratz 356 26.5 N29 42.9
13 | 15 08.1 S23 23.6 | 303 14.3 9.6 S11 27.7 12.2 59.2 | Altair 60 56.1 N 9 10.3
14 | 30 07.8 S23 23.6 | 317 42.9 9.6 S11 15.5 12.2 59.2 | Ankaa 352 02.4 S41 42.0
15 | 45 07.5 S23 23.5 | 332 11.6 9.7 S11 03.2 12.3 59.2 |
16 | 60 07.1 S23 23.4 | 346 40.3 9.7 S10 50.8 12.4 59.2 | Antares 110 55.4 S26 40.4
17 | 75 06.8 S23 23.4 | 1 09.1 9.8 S10 38.4 12.4 59.2 | Arcturus 144 48.1 N18 35.9
| | | Atria 104 50.9 S69 13.2
18 | 90 06.5 S23 23.3 | 15 37.9 9.8 S10 25.9 12.5 59.2 | Avior 233 47.0 S59 52.3
19 | 105 06.2 S23 23.3 | 30 06.7 9.8 S10 13.3 12.5 59.2 | Bellatrix 277 11.9 N 6 26.7
20 | 120 05.9 S23 23.2 | 44 35.6 9.9 S10 00.7 12.6 59.2 |
21 | 135 05.6 S23 23.2 | 59 04.5 9.9 S 9 48.0 12.7 59.2 | Betelgeuse 269 40.5 N 7 25.3
22 | 150 05.3 S23 23.1 | 73 33.5 10.0 S 9 35.3 12.7 59.2 | Canopus 263 22.5 S52 45.6
23 | 165 05.0 S23 23.0 | 88 02.5 10.0 S 9 22.6 12.8 59.2 | Capella 278 44.1 N46 06.3
------+-------------------+----------------------------------| Castor 244 32.9 N31 38.0
25 0 | 180 04.7 S23 23.0 | 102 31.6 10.1 S 9 09.7 12.8 59.2 | Deneb 48 41.2 N45 41.3
1 | 195 04.4 S23 22.9 | 117 00.7 10.1 S 8 56.9 12.9 59.2 |
2 | 210 04.1 S23 22.8 | 131 29.8 10.1 S 8 43.9 12.9 59.2 | Denebola 181 17.9 N13 56.4
3 | 225 03.7 S23 22.8 | 145 59.0 10.2 S 8 31.0 13.0 59.2 | Diphda 347 41.3 S17 22.3
4 | 240 03.4 S23 22.7 | 160 28.2 10.2 S 8 17.9 13.0 59.2 | Dubhe 192 20.6 N61 08.1
S 5 | 255 03.1 S23 22.6 | 174 57.5 10.3 S 8 04.9 13.1 59.2 | Elnath 276 38.3 N28 41.7
U | | | Eltanin 90 12.1 N51 28.7
N 6 | 270 02.8 S23 22.6 | 189 26.8 10.3 S 7 51.8 13.1 59.2 |
D 7 | 285 02.5 S23 22.5 | 203 56.1 10.3 S 7 38.6 13.2 59.2 | Enif 32 34.3 N10 23.7
A 8 | 300 02.2 S23 22.4 | 218 25.5 10.4 S 7 25.4 13.2 59.2 | Fomalhaut 14 02.2 S29 01.6
Y 9 | 315 01.9 S23 22.4 | 232 54.9 10.4 S 7 12.2 13.2 59.2 | Gacrux 170 38.0 S57 44.3
10 | 330 01.6 S23 22.3 | 247 24.3 10.4 S 6 58.9 13.3 59.2 | Gienah 174 35.8 S18 09.9
11 | 345 01.3 S23 22.2 | 261 53.8 10.5 S 6 45.6 13.3 59.2 | Hadar 147 02.5 S60 54.4
| | |
12 | 0 01.0 S23 22.1 | 276 23.2 10.5 S 6 32.3 13.3 59.2 | Hamal 326 36.6 N23 59.6
13 | 15 00.7 S23 22.1 | 290 52.8 10.5 S 6 18.9 13.4 59.2 | Kaus Austr. 82 05.7 S34 19.4
14 | 30 00.3 S23 22.0 | 305 22.3 10.6 S 6 05.5 13.4 59.2 | Kochab 137 23.8 N73 41.5
15 | 45 00.0 S23 21.9 | 319 51.9 10.6 S 5 52.0 13.4 59.2 | Markab 12 24.4 N15 48.8
16 | 59 59.7 S23 21.8 | 334 21.5 10.6 S 5 38.5 13.5 59.2 | Menkar 312 57.0 N 4 31.6
17 | 74 59.4 S23 21.8 | 348 51.2 10.6 S 5 25.0 13.5 59.2 |
| | | Menkent 146 40.0 S36 55.1
18 | 89 59.1 S23 21.7 | 3 20.8 10.7 S 5 11.5 13.5 59.2 | Miaplacidus 221 23.0 S70 10.7
19 | 104 58.8 S23 21.6 | 17 50.5 10.7 S 4 57.9 13.6 59.2 | Mirfak 306 53.4 N50 15.5
20 | 119 58.5 S23 21.5 | 32 20.2 10.7 S 4 44.3 13.6 59.2 | Nunki 74 26.7 S26 09.0
21 | 134 58.2 S23 21.4 | 46 50.0 10.7 S 4 30.7 13.6 59.2 | Peacock 51 22.9 S56 22.2
22 | 149 57.9 S23 21.4 | 61 19.7 10.8 S 4 17.1 13.6 59.2 |
23 | 164 57.6 S23 21.3 | 75 49.5 10.8 S 4 03.4 13.7 59.2 | Polaris 293 52.1 N89 45.4
------+-------------------+----------------------------------| Pollux 241 56.6 N27 44.7
26 0 | 179 57.3 S23 21.2 | 90 19.3 10.8 S 3 49.7 13.7 59.2 | Procyon 243 41.7 N 4 55.8
1 | 194 56.9 S23 21.1 | 104 49.1 10.8 S 3 36.0 13.7 59.2 | Rasalhague 94 57.8 N12 29.1
2 | 209 56.6 S23 21.0 | 119 19.0 10.8 S 3 22.3 13.7 59.2 | Regulus 206 24.3 N11 24.8
3 | 224 56.3 S23 20.9 | 133 48.8 10.9 S 3 08.6 13.7 59.2 |
4 | 239 56.0 S23 20.9 | 148 18.7 10.9 S 2 54.8 13.8 59.2 | Rigel 280 00.3 S 8 04.7
M 5 | 254 55.7 S23 20.8 | 162 48.6 10.9 S 2 41.0 13.8 59.2 | Rigil Kent 138 10.6 S61 17.4
O | | | Sabik 100 47.6 S15 51.4
N 6 | 269 55.4 S23 20.7 | 177 18.5 10.9 S 2 27.3 13.8 59.2 | Schedar 348 15.5 N57 09.5
D 7 | 284 55.1 S23 20.6 | 191 48.4 10.9 S 2 13.5 13.8 59.2 | Shaula 94 41.4 S37 10.6
A 8 | 299 54.8 S23 20.5 | 206 18.4 10.9 S 1 59.7 13.8 59.2 |
Y 9 | 314 54.5 S23 20.4 | 220 48.3 10.9 S 1 45.8 13.8 59.2 | Sirius 257 27.9 S16 52.6
10 | 329 54.2 S23 20.3 | 235 18.3 11.0 S 1 32.0 13.8 59.2 | Spica 157 12.9 S11 44.7
11 | 344 53.9 S23 20.2 | 249 48.2 11.0 S 1 18.2 13.8 59.2 | Suhail 221 57.4 S43 53.3
| | | Vega 79 49.0 N38 53.6
12 | 359 53.6 S23 20.1 | 264 18.2 11.0 S 1 04.4 13.8 59.2 | Zuben-ubi 135 46.3 S16 30.2
13 | 14 53.3 S23 20.0 | 278 48.2 11.0 S 0 50.5 13.8 59.2 |
14 | 29 52.9 S23 20.0 | 293 18.2 11.0 S 0 36.7 13.8 59.2 |
15 | 44 52.6 S23 19.9 | 307 48.2 11.0 S 0 22.8 13.8 59.2 |
16 | 59 52.3 S23 19.8 | 322 18.2 11.0 S 0 09.0 13.8 59.2 |
17 | 74 52.0 S23 19.7 | 336 48.2 11.0 N 0 04.9 13.8 59.2 |
| | |
18 | 89 51.7 S23 19.6 | 351 18.2 11.0 N 0 18.7 13.8 59.2 |
19 | 104 51.4 S23 19.5 | 5 48.2 11.0 N 0 32.5 13.8 59.2 |
20 | 119 51.1 S23 19.4 | 20 18.3 11.0 N 0 46.4 13.8 59.2 |
21 | 134 50.8 S23 19.3 | 34 48.3 11.0 N 1 00.2 13.8 59.2 |
22 | 149 50.5 S23 19.2 | 49 18.3 11.0 N 1 14.0 13.8 59.1 |
23 | 164 50.2 S23 19.1 | 63 48.3 11.0 N 1 27.8 13.8 59.1 |
------+-------------------+----------------------------------|
|S.D. 16.3 d 0.1 | S.D. 16.1 16.1 16.1 |
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