
2050 DEC. 4, 5, 6 (SUN, MON, TUE)
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| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
4 0 | 73 00.7 | 226 36.1 S 8 47.3 | 83 37.1 S 5 32.5 | 275 28.6 N10 24.6 | 125 31.2 S19 37.3
1 | 88 03.2 | 241 36.7 S 8 47.7 | 98 38.2 S 5 31.8 | 290 30.9 N10 24.5 | 140 33.5 S19 37.3
2 | 103 05.6 | 256 37.2 S 8 48.2 | 113 39.3 S 5 31.2 | 305 33.2 N10 24.5 | 155 35.7 S19 37.2
3 | 118 08.1 | 271 37.8 S 8 48.6 | 128 40.4 S 5 30.5 | 320 35.6 N10 24.5 | 170 37.9 S19 37.2
4 | 133 10.6 | 286 38.4 S 8 49.1 | 143 41.5 S 5 29.9 | 335 37.9 N10 24.4 | 185 40.2 S19 37.1
S 5 | 148 13.0 | 301 38.9 S 8 49.5 | 158 42.7 S 5 29.2 | 350 40.2 N10 24.4 | 200 42.4 S19 37.1
U
N 6 | 163 15.5 | 316 39.5 S 8 50.0 | 173 43.8 S 5 28.5 | 5 42.6 N10 24.3 | 215 44.7 S19 37.0
D 7 | 178 17.9 | 331 40.1 S 8 50.4 | 188 44.9 S 5 27.9 | 20 44.9 N10 24.3 | 230 46.9 S19 37.0
A 8 | 193 20.4 | 346 40.6 S 8 50.9 | 203 46.0 S 5 27.2 | 35 47.2 N10 24.3 | 245 49.1 S19 36.9
Y 9 | 208 22.9 | 1 41.2 S 8 51.4 | 218 47.1 S 5 26.5 | 50 49.5 N10 24.2 | 260 51.4 S19 36.9
10 | 223 25.3 | 16 41.7 S 8 51.8 | 233 48.3 S 5 25.9 | 65 51.9 N10 24.2 | 275 53.6 S19 36.8
11 | 238 27.8 | 31 42.3 S 8 52.3 | 248 49.4 S 5 25.2 | 80 54.2 N10 24.1 | 290 55.9 S19 36.8
12 | 253 30.3 | 46 42.8 S 8 52.8 | 263 50.5 S 5 24.6 | 95 56.5 N10 24.1 | 305 58.1 S19 36.7
13 | 268 32.7 | 61 43.4 S 8 53.2 | 278 51.6 S 5 23.9 | 110 58.9 N10 24.1 | 321 00.3 S19 36.6
14 | 283 35.2 | 76 43.9 S 8 53.7 | 293 52.7 S 5 23.2 | 126 01.2 N10 24.0 | 336 02.6 S19 36.6
15 | 298 37.7 | 91 44.5 S 8 54.1 | 308 53.8 S 5 22.6 | 141 03.5 N10 24.0 | 351 04.8 S19 36.5
16 | 313 40.1 | 106 45.0 S 8 54.6 | 323 54.9 S 5 21.9 | 156 05.9 N10 23.9 | 6 07.0 S19 36.5
17 | 328 42.6 | 121 45.6 S 8 55.1 | 338 56.1 S 5 21.2 | 171 08.2 N10 23.9 | 21 09.3 S19 36.4
18 | 343 45.1 | 136 46.1 S 8 55.5 | 353 57.2 S 5 20.6 | 186 10.5 N10 23.9 | 36 11.5 S19 36.4
19 | 358 47.5 | 151 46.7 S 8 56.0 | 8 58.3 S 5 19.9 | 201 12.9 N10 23.8 | 51 13.8 S19 36.3
20 | 13 50.0 | 166 47.2 S 8 56.5 | 23 59.4 S 5 19.2 | 216 15.2 N10 23.8 | 66 16.0 S19 36.3
21 | 28 52.4 | 181 47.8 S 8 57.0 | 39 00.5 S 5 18.6 | 231 17.5 N10 23.7 | 81 18.2 S19 36.2
22 | 43 54.9 | 196 48.3 S 8 57.4 | 54 01.6 S 5 17.9 | 246 19.9 N10 23.7 | 96 20.5 S19 36.2
23 | 58 57.4 | 211 48.8 S 8 57.9 | 69 02.8 S 5 17.2 | 261 22.2 N10 23.7 | 111 22.7 S19 36.1
------+----------+-------------------+-------------------+-------------------+--------------------
5 0 | 73 59.8 | 226 49.4 S 8 58.4 | 84 03.9 S 5 16.6 | 276 24.5 N10 23.6 | 126 24.9 S19 36.1
1 | 89 02.3 | 241 49.9 S 8 58.8 | 99 05.0 S 5 15.9 | 291 26.9 N10 23.6 | 141 27.2 S19 36.0
2 | 104 04.8 | 256 50.4 S 8 59.3 | 114 06.1 S 5 15.3 | 306 29.2 N10 23.5 | 156 29.4 S19 36.0
3 | 119 07.2 | 271 51.0 S 8 59.8 | 129 07.2 S 5 14.6 | 321 31.6 N10 23.5 | 171 31.7 S19 35.9
4 | 134 09.7 | 286 51.5 S 9 00.3 | 144 08.3 S 5 13.9 | 336 33.9 N10 23.5 | 186 33.9 S19 35.9
M 5 | 149 12.2 | 301 52.0 S 9 00.8 | 159 09.4 S 5 13.3 | 351 36.2 N10 23.4 | 201 36.1 S19 35.8
O
N 6 | 164 14.6 | 316 52.5 S 9 01.2 | 174 10.6 S 5 12.6 | 6 38.6 N10 23.4 | 216 38.4 S19 35.8
D 7 | 179 17.1 | 331 53.1 S 9 01.7 | 189 11.7 S 5 11.9 | 21 40.9 N10 23.4 | 231 40.6 S19 35.7
A 8 | 194 19.6 | 346 53.6 S 9 02.2 | 204 12.8 S 5 11.3 | 36 43.2 N10 23.3 | 246 42.8 S19 35.7
Y 9 | 209 22.0 | 1 54.1 S 9 02.7 | 219 13.9 S 5 10.6 | 51 45.6 N10 23.3 | 261 45.1 S19 35.6
10 | 224 24.5 | 16 54.6 S 9 03.1 | 234 15.0 S 5 09.9 | 66 47.9 N10 23.2 | 276 47.3 S19 35.5
11 | 239 26.9 | 31 55.1 S 9 03.6 | 249 16.1 S 5 09.3 | 81 50.3 N10 23.2 | 291 49.6 S19 35.5
12 | 254 29.4 | 46 55.7 S 9 04.1 | 264 17.2 S 5 08.6 | 96 52.6 N10 23.2 | 306 51.8 S19 35.4
13 | 269 31.9 | 61 56.2 S 9 04.6 | 279 18.3 S 5 07.9 | 111 54.9 N10 23.1 | 321 54.0 S19 35.4
14 | 284 34.3 | 76 56.7 S 9 05.1 | 294 19.4 S 5 07.3 | 126 57.3 N10 23.1 | 336 56.3 S19 35.3
15 | 299 36.8 | 91 57.2 S 9 05.6 | 309 20.6 S 5 06.6 | 141 59.6 N10 23.1 | 351 58.5 S19 35.3
16 | 314 39.3 | 106 57.7 S 9 06.1 | 324 21.7 S 5 05.9 | 157 02.0 N10 23.0 | 7 00.7 S19 35.2
17 | 329 41.7 | 121 58.2 S 9 06.5 | 339 22.8 S 5 05.3 | 172 04.3 N10 23.0 | 22 03.0 S19 35.2
18 | 344 44.2 | 136 58.7 S 9 07.0 | 354 23.9 S 5 04.6 | 187 06.6 N10 23.0 | 37 05.2 S19 35.1
19 | 359 46.7 | 151 59.2 S 9 07.5 | 9 25.0 S 5 03.9 | 202 09.0 N10 22.9 | 52 07.4 S19 35.1
20 | 14 49.1 | 166 59.7 S 9 08.0 | 24 26.1 S 5 03.3 | 217 11.3 N10 22.9 | 67 09.7 S19 35.0
21 | 29 51.6 | 182 00.3 S 9 08.5 | 39 27.2 S 5 02.6 | 232 13.7 N10 22.8 | 82 11.9 S19 35.0
22 | 44 54.0 | 197 00.8 S 9 09.0 | 54 28.3 S 5 01.9 | 247 16.0 N10 22.8 | 97 14.1 S19 34.9
23 | 59 56.5 | 212 01.3 S 9 09.5 | 69 29.4 S 5 01.3 | 262 18.3 N10 22.8 | 112 16.4 S19 34.9
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6 0 | 74 59.0 | 227 01.8 S 9 10.0 | 84 30.6 S 5 00.6 | 277 20.7 N10 22.7 | 127 18.6 S19 34.8
1 | 90 01.4 | 242 02.3 S 9 10.5 | 99 31.7 S 4 59.9 | 292 23.0 N10 22.7 | 142 20.8 S19 34.8
2 | 105 03.9 | 257 02.7 S 9 10.9 | 114 32.8 S 4 59.3 | 307 25.4 N10 22.7 | 157 23.1 S19 34.7
3 | 120 06.4 | 272 03.2 S 9 11.4 | 129 33.9 S 4 58.6 | 322 27.7 N10 22.6 | 172 25.3 S19 34.7
4 | 135 08.8 | 287 03.7 S 9 11.9 | 144 35.0 S 4 57.9 | 337 30.1 N10 22.6 | 187 27.5 S19 34.6
T 5 | 150 11.3 | 302 04.2 S 9 12.4 | 159 36.1 S 4 57.3 | 352 32.4 N10 22.6 | 202 29.8 S19 34.5
U
E 6 | 165 13.8 | 317 04.7 S 9 12.9 | 174 37.2 S 4 56.6 | 7 34.8 N10 22.5 | 217 32.0 S19 34.5
S 7 | 180 16.2 | 332 05.2 S 9 13.4 | 189 38.3 S 4 55.9 | 22 37.1 N10 22.5 | 232 34.3 S19 34.4
D 8 | 195 18.7 | 347 05.7 S 9 13.9 | 204 39.4 S 4 55.3 | 37 39.4 N10 22.5 | 247 36.5 S19 34.4
A 9 | 210 21.2 | 2 06.2 S 9 14.4 | 219 40.5 S 4 54.6 | 52 41.8 N10 22.4 | 262 38.7 S19 34.3
Y 10 | 225 23.6 | 17 06.7 S 9 14.9 | 234 41.6 S 4 53.9 | 67 44.1 N10 22.4 | 277 41.0 S19 34.3
11 | 240 26.1 | 32 07.2 S 9 15.4 | 249 42.8 S 4 53.3 | 82 46.5 N10 22.4 | 292 43.2 S19 34.2
12 | 255 28.5 | 47 07.6 S 9 15.9 | 264 43.9 S 4 52.6 | 97 48.8 N10 22.3 | 307 45.4 S19 34.2
13 | 270 31.0 | 62 08.1 S 9 16.4 | 279 45.0 S 4 51.9 | 112 51.2 N10 22.3 | 322 47.7 S19 34.1
14 | 285 33.5 | 77 08.6 S 9 16.9 | 294 46.1 S 4 51.3 | 127 53.5 N10 22.2 | 337 49.9 S19 34.1
15 | 300 35.9 | 92 09.1 S 9 17.4 | 309 47.2 S 4 50.6 | 142 55.9 N10 22.2 | 352 52.1 S19 34.0
16 | 315 38.4 | 107 09.6 S 9 17.9 | 324 48.3 S 4 49.9 | 157 58.2 N10 22.2 | 7 54.4 S19 34.0
17 | 330 40.9 | 122 10.0 S 9 18.4 | 339 49.4 S 4 49.3 | 173 00.6 N10 22.1 | 22 56.6 S19 33.9
18 | 345 43.3 | 137 10.5 S 9 18.9 | 354 50.5 S 4 48.6 | 188 02.9 N10 22.1 | 37 58.8 S19 33.8
19 | 0 45.8 | 152 11.0 S 9 19.5 | 9 51.6 S 4 47.9 | 203 05.3 N10 22.1 | 53 01.0 S19 33.8
20 | 15 48.3 | 167 11.4 S 9 20.0 | 24 52.7 S 4 47.3 | 218 07.6 N10 22.0 | 68 03.3 S19 33.7
21 | 30 50.7 | 182 11.9 S 9 20.5 | 39 53.8 S 4 46.6 | 233 10.0 N10 22.0 | 83 05.5 S19 33.7
22 | 45 53.2 | 197 12.4 S 9 21.0 | 54 54.9 S 4 45.9 | 248 12.3 N10 22.0 | 98 07.7 S19 33.6
23 | 60 55.7 | 212 12.8 S 9 21.5 | 69 56.0 S 4 45.3 | 263 14.7 N10 21.9 | 113 10.0 S19 33.6
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| v 0.5 d 0.5 | v 1.1 d 0.7 | v 2.3 d 0.0 | v 2.2 d 0.1
2050 DEC. 4, 5, 6 (SUN, MON, TUE)
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| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
4 0 | 182 30.0 S22 13.3 | 295 08.7 13.7 N10 46.6 8.8 55.1 | Acamar 314 56.6 S40 06.3
1 | 197 29.7 S22 13.7 | 309 41.4 13.7 N10 37.8 8.8 55.0 | Achernar 335 05.5 S56 58.9
2 | 212 29.5 S22 14.0 | 324 14.2 13.8 N10 29.0 8.8 55.0 | Acrux 172 37.9 S63 22.6
3 | 227 29.2 S22 14.3 | 338 47.0 13.8 N10 20.1 8.9 55.0 | Adhara 254 50.1 S29 02.6
4 | 242 28.9 S22 14.7 | 353 19.9 13.9 N10 11.2 8.9 55.0 | Albireo 66 48.5 N28 04.4
S 5 | 257 28.7 S22 15.0 | 7 52.8 13.9 N10 02.3 8.9 55.0 |
U | | | Aldebaran 290 16.7 N16 36.5
N 6 | 272 28.4 S22 15.3 | 22 25.8 14.0 N 9 53.3 9.0 54.9 | Alioth 165 56.4 N55 40.8
D 7 | 287 28.2 S22 15.7 | 36 58.8 14.0 N 9 44.3 9.0 54.9 | Alkaid 152 37.2 N49 03.4
A 8 | 302 27.9 S22 16.0 | 51 31.9 14.1 N 9 35.2 9.1 54.9 | Al Na-ir 27 08.6 S46 42.9
Y 9 | 317 27.7 S22 16.3 | 66 05.1 14.1 N 9 26.1 9.1 54.9 | Alnilam 275 17.5 S 1 10.4
10 | 332 27.4 S22 16.7 | 80 38.2 14.2 N 9 17.0 9.1 54.9 |
11 | 347 27.2 S22 17.0 | 95 11.5 14.2 N 9 07.8 9.2 54.8 | Alphard 217 28.3 S 8 52.9
| | | Alphecca 125 47.6 N26 32.7
12 | 2 26.9 S22 17.3 | 109 44.7 14.3 N 8 58.6 9.2 54.8 | Alpheratz 357 14.2 N29 22.6
13 | 17 26.7 S22 17.7 | 124 18.1 14.3 N 8 49.4 9.2 54.8 | Altair 61 41.1 N 9 00.5
14 | 32 26.4 S22 18.0 | 138 51.4 14.4 N 8 40.2 9.2 54.8 | Ankaa 352 47.9 S42 01.9
15 | 47 26.2 S22 18.3 | 153 24.8 14.4 N 8 30.9 9.3 54.8 |
16 | 62 25.9 S22 18.6 | 167 58.3 14.5 N 8 21.6 9.3 54.7 | Antares 111 52.1 S26 32.4
17 | 77 25.7 S22 19.0 | 182 31.8 14.5 N 8 12.3 9.3 54.7 | Arcturus 145 30.4 N18 55.1
| | | Atria 106 29.2 S69 06.8
18 | 92 25.4 S22 19.3 | 197 05.3 14.5 N 8 02.9 9.4 54.7 | Avior 234 06.0 S59 40.4
19 | 107 25.2 S22 19.6 | 211 38.9 14.6 N 7 53.5 9.4 54.7 | Bellatrix 278 01.5 N 6 23.5
20 | 122 24.9 S22 19.9 | 226 12.5 14.6 N 7 44.1 9.4 54.7 |
21 | 137 24.6 S22 20.2 | 240 46.2 14.7 N 7 34.6 9.4 54.7 | Betelgeuse 270 30.5 N 7 24.7
22 | 152 24.4 S22 20.6 | 255 19.9 14.7 N 7 25.2 9.5 54.6 | Canopus 263 43.1 S52 43.5
23 | 167 24.1 S22 20.9 | 269 53.7 14.7 N 7 15.7 9.5 54.6 | Capella 279 52.4 N46 02.7
------+-------------------+----------------------------------| Castor 245 31.8 N31 46.2
5 0 | 182 23.9 S22 21.2 | 284 27.4 14.8 N 7 06.2 9.5 54.6 | Deneb 49 12.5 N45 28.2
1 | 197 23.6 S22 21.5 | 299 01.3 14.8 N 6 56.6 9.5 54.6 |
2 | 212 23.4 S22 21.8 | 313 35.1 14.9 N 6 47.0 9.6 54.6 | Denebola 182 05.1 N14 17.1
3 | 227 23.1 S22 22.2 | 328 09.0 14.9 N 6 37.5 9.6 54.6 | Diphda 348 27.6 S17 42.5
4 | 242 22.8 S22 22.5 | 342 42.9 14.9 N 6 27.8 9.6 54.6 | Dubhe 193 17.5 N61 28.1
M 5 | 257 22.6 S22 22.8 | 357 16.9 15.0 N 6 18.2 9.6 54.5 | Elnath 277 36.7 N28 38.7
O | | | Eltanin 90 33.6 N51 29.2
N 6 | 272 22.3 S22 23.1 | 11 50.9 15.0 N 6 08.6 9.7 54.5 |
D 7 | 287 22.1 S22 23.4 | 26 24.9 15.0 N 5 58.9 9.7 54.5 | Enif 33 19.6 N10 06.8
A 8 | 302 21.8 S22 23.7 | 40 58.9 15.1 N 5 49.2 9.7 54.5 | Fomalhaut 14 53.0 S29 21.1
Y 9 | 317 21.6 S22 24.0 | 55 33.0 15.1 N 5 39.5 9.7 54.5 | Gacrux 171 29.6 S57 23.6
10 | 332 21.3 S22 24.3 | 70 07.2 15.1 N 5 29.8 9.7 54.5 | Gienah 175 23.4 S17 49.4
11 | 347 21.0 S22 24.7 | 84 41.3 15.1 N 5 20.0 9.7 54.5 | Hadar 148 08.3 S60 36.8
| | |
12 | 2 20.8 S22 25.0 | 99 15.5 15.2 N 5 10.3 9.8 54.5 | Hamal 327 28.7 N23 42.3
13 | 17 20.5 S22 25.3 | 113 49.7 15.2 N 5 00.5 9.8 54.4 | Kaus Austr. 83 06.9 S34 21.4
14 | 32 20.3 S22 25.6 | 128 23.9 15.2 N 4 50.7 9.8 54.4 | Kochab 137 22.5 N73 56.7
15 | 47 20.0 S22 25.9 | 142 58.2 15.3 N 4 40.9 9.8 54.4 | Markab 13 10.3 N15 29.0
16 | 62 19.7 S22 26.2 | 157 32.4 15.3 N 4 31.1 9.8 54.4 | Menkar 313 45.3 N 4 17.2
17 | 77 19.5 S22 26.5 | 172 06.7 15.3 N 4 21.2 9.8 54.4 |
| | | Menkent 147 34.6 S36 37.0
18 | 92 19.2 S22 26.8 | 186 41.1 15.3 N 4 11.4 9.9 54.4 | Miaplacidus 221 33.1 S69 55.5
19 | 107 19.0 S22 27.1 | 201 15.4 15.3 N 4 01.5 9.9 54.4 | Mirfak 307 59.5 N50 02.4
20 | 122 18.7 S22 27.4 | 215 49.8 15.4 N 3 51.6 9.9 54.4 | Nunki 75 23.8 S26 13.7
21 | 137 18.4 S22 27.7 | 230 24.2 15.4 N 3 41.7 9.9 54.4 | Peacock 52 35.4 S56 34.2
22 | 152 18.2 S22 28.0 | 244 58.6 15.4 N 3 31.8 9.9 54.3 |
23 | 167 17.9 S22 28.3 | 259 33.0 15.4 N 3 21.9 9.9 54.3 | Polaris 309 14.6 N89 28.6
------+-------------------+----------------------------------| Pollux 242 53.1 N27 53.8
6 0 | 182 17.7 S22 28.6 | 274 07.5 15.4 N 3 12.0 9.9 54.3 | Procyon 244 30.1 N 5 05.4
1 | 197 17.4 S22 28.9 | 288 41.9 15.5 N 3 02.1 9.9 54.3 | Rasalhague 95 40.7 N12 31.7
2 | 212 17.1 S22 29.2 | 303 16.4 15.5 N 2 52.2 9.9 54.3 | Regulus 207 13.6 N11 42.9
3 | 227 16.9 S22 29.5 | 317 50.9 15.5 N 2 42.2 9.9 54.3 |
4 | 242 16.6 S22 29.8 | 332 25.4 15.5 N 2 32.2 10.0 54.3 | Rigel 280 44.7 S 8 08.8
T 5 | 257 16.3 S22 30.1 | 346 60.0 15.5 N 2 22.3 10.0 54.3 | Rigil Kent 139 13.8 S61 02.4
U | | | Sabik 101 40.6 S15 47.0
E 6 | 272 16.1 S22 30.4 | 1 34.5 15.5 N 2 12.3 10.0 54.3 | Schedar 349 08.0 N56 49.3
S 7 | 287 15.8 S22 30.7 | 16 09.1 15.6 N 2 02.3 10.0 54.3 | Shaula 95 44.1 S37 08.1
D 8 | 302 15.6 S22 31.0 | 30 43.6 15.6 N 1 52.4 10.0 54.3 |
A 9 | 317 15.3 S22 31.3 | 45 18.2 15.6 N 1 42.4 10.0 54.3 | Sirius 258 08.6 S16 47.4
Y 10 | 332 15.0 S22 31.6 | 59 52.8 15.6 N 1 32.4 10.0 54.3 | Spica 158 01.8 S11 25.5
11 | 347 14.8 S22 31.9 | 74 27.4 15.6 N 1 22.4 10.0 54.3 | Suhail 222 31.5 S43 38.3
| | | Vega 80 20.3 N38 50.2
12 | 2 14.5 S22 32.2 | 89 02.0 15.6 N 1 12.4 10.0 54.3 | Zuben-ubi 136 36.0 S16 15.0
13 | 17 14.2 S22 32.5 | 103 36.6 15.6 N 1 02.4 10.0 54.2 |
14 | 32 14.0 S22 32.7 | 118 11.3 15.6 N 0 52.4 10.0 54.2 |
15 | 47 13.7 S22 33.0 | 132 45.9 15.6 N 0 42.4 10.0 54.2 |
16 | 62 13.4 S22 33.3 | 147 20.5 15.6 N 0 32.4 10.0 54.2 |
17 | 77 13.2 S22 33.6 | 161 55.2 15.6 N 0 22.3 10.0 54.2 |
| | |
18 | 92 12.9 S22 33.9 | 176 29.8 15.6 N 0 12.3 10.0 54.2 |
19 | 107 12.6 S22 34.2 | 191 04.5 15.6 N 0 02.3 10.0 54.2 |
20 | 122 12.4 S22 34.5 | 205 39.1 15.6 S 0 07.7 10.0 54.2 |
21 | 137 12.1 S22 34.8 | 220 13.7 15.6 S 0 17.7 10.0 54.2 |
22 | 152 11.8 S22 35.0 | 234 48.4 15.6 S 0 27.7 10.0 54.2 |
23 | 167 11.6 S22 35.3 | 249 23.0 15.6 S 0 37.7 10.0 54.2 |
------+-------------------+----------------------------------|
|S.D. 16.2 d 0.3 | S.D. 14.9 14.8 14.8 |
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