
2910 DEC. 19, 20, 21 (FRI, SAT, SUN)
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| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
19 0 | 87 32.8 | 211 35.8 S17 44.7 | 275 45.5 N 6 11.8 | 125 20.7 S15 32.8 | 63 51.9 N 7 02.8
1 | 102 35.2 | 226 38.1 S17 44.2 | 290 47.1 N 6 11.5 | 140 22.7 S15 32.6 | 78 54.4 N 7 02.8
2 | 117 37.7 | 241 40.4 S17 43.8 | 305 48.7 N 6 11.2 | 155 24.7 S15 32.5 | 93 56.9 N 7 02.8
3 | 132 40.2 | 256 42.8 S17 43.4 | 320 50.3 N 6 10.9 | 170 26.7 S15 32.4 | 108 59.4 N 7 02.8
4 | 147 42.6 | 271 45.1 S17 43.0 | 335 51.9 N 6 10.6 | 185 28.7 S15 32.2 | 124 01.9 N 7 02.8
F 5 | 162 45.1 | 286 47.4 S17 42.6 | 350 53.4 N 6 10.3 | 200 30.7 S15 32.1 | 139 04.4 N 7 02.8
R
I 6 | 177 47.5 | 301 49.7 S17 42.1 | 5 55.0 N 6 10.0 | 215 32.7 S15 31.9 | 154 06.9 N 7 02.8
D 7 | 192 50.0 | 316 52.0 S17 41.7 | 20 56.6 N 6 09.7 | 230 34.7 S15 31.8 | 169 09.5 N 7 02.8
A 8 | 207 52.5 | 331 54.3 S17 41.3 | 35 58.2 N 6 09.4 | 245 36.7 S15 31.6 | 184 12.0 N 7 02.8
Y 9 | 222 54.9 | 346 56.6 S17 40.9 | 50 59.8 N 6 09.1 | 260 38.7 S15 31.5 | 199 14.5 N 7 02.8
10 | 237 57.4 | 1 58.9 S17 40.5 | 66 01.4 N 6 08.8 | 275 40.7 S15 31.3 | 214 17.0 N 7 02.8
11 | 252 59.9 | 17 01.2 S17 40.1 | 81 02.9 N 6 08.4 | 290 42.7 S15 31.2 | 229 19.5 N 7 02.8
12 | 268 02.3 | 32 03.5 S17 39.7 | 96 04.5 N 6 08.1 | 305 44.8 S15 31.0 | 244 22.0 N 7 02.8
13 | 283 04.8 | 47 05.8 S17 39.2 | 111 06.1 N 6 07.8 | 320 46.8 S15 30.9 | 259 24.5 N 7 02.7
14 | 298 07.3 | 62 08.0 S17 38.8 | 126 07.7 N 6 07.5 | 335 48.8 S15 30.7 | 274 27.0 N 7 02.7
15 | 313 09.7 | 77 10.3 S17 38.4 | 141 09.3 N 6 07.2 | 350 50.8 S15 30.6 | 289 29.5 N 7 02.7
16 | 328 12.2 | 92 12.6 S17 38.0 | 156 10.9 N 6 06.9 | 5 52.8 S15 30.4 | 304 32.0 N 7 02.7
17 | 343 14.7 | 107 14.8 S17 37.6 | 171 12.5 N 6 06.6 | 20 54.8 S15 30.3 | 319 34.5 N 7 02.7
18 | 358 17.1 | 122 17.1 S17 37.2 | 186 14.0 N 6 06.3 | 35 56.8 S15 30.2 | 334 37.0 N 7 02.7
19 | 13 19.6 | 137 19.4 S17 36.8 | 201 15.6 N 6 06.0 | 50 58.8 S15 30.0 | 349 39.5 N 7 02.7
20 | 28 22.0 | 152 21.6 S17 36.4 | 216 17.2 N 6 05.7 | 66 00.8 S15 29.9 | 4 42.0 N 7 02.7
21 | 43 24.5 | 167 23.9 S17 36.1 | 231 18.8 N 6 05.4 | 81 02.8 S15 29.7 | 19 44.5 N 7 02.7
22 | 58 27.0 | 182 26.1 S17 35.7 | 246 20.4 N 6 05.1 | 96 04.8 S15 29.6 | 34 47.0 N 7 02.7
23 | 73 29.4 | 197 28.3 S17 35.3 | 261 22.0 N 6 04.8 | 111 06.8 S15 29.4 | 49 49.5 N 7 02.7
------+----------+-------------------+-------------------+-------------------+--------------------
20 0 | 88 31.9 | 212 30.6 S17 34.9 | 276 23.6 N 6 04.5 | 126 08.8 S15 29.3 | 64 52.0 N 7 02.7
1 | 103 34.4 | 227 32.8 S17 34.5 | 291 25.2 N 6 04.2 | 141 10.8 S15 29.1 | 79 54.5 N 7 02.7
2 | 118 36.8 | 242 35.0 S17 34.1 | 306 26.8 N 6 03.9 | 156 12.8 S15 29.0 | 94 57.0 N 7 02.7
3 | 133 39.3 | 257 37.3 S17 33.7 | 321 28.4 N 6 03.6 | 171 14.8 S15 28.8 | 109 59.5 N 7 02.7
4 | 148 41.8 | 272 39.5 S17 33.3 | 336 30.0 N 6 03.3 | 186 16.8 S15 28.7 | 125 02.0 N 7 02.7
S 5 | 163 44.2 | 287 41.7 S17 33.0 | 351 31.6 N 6 03.0 | 201 18.8 S15 28.5 | 140 04.5 N 7 02.7
A
T 6 | 178 46.7 | 302 43.9 S17 32.6 | 6 33.1 N 6 02.7 | 216 20.8 S15 28.4 | 155 07.0 N 7 02.7
U 7 | 193 49.2 | 317 46.1 S17 32.2 | 21 34.7 N 6 02.4 | 231 22.8 S15 28.2 | 170 09.5 N 7 02.7
R 8 | 208 51.6 | 332 48.3 S17 31.8 | 36 36.3 N 6 02.1 | 246 24.8 S15 28.1 | 185 12.0 N 7 02.7
D 9 | 223 54.1 | 347 50.5 S17 31.5 | 51 37.9 N 6 01.8 | 261 26.8 S15 27.9 | 200 14.5 N 7 02.7
A 10 | 238 56.5 | 2 52.7 S17 31.1 | 66 39.5 N 6 01.5 | 276 28.8 S15 27.8 | 215 17.0 N 7 02.7
Y 11 | 253 59.0 | 17 54.9 S17 30.7 | 81 41.1 N 6 01.2 | 291 30.8 S15 27.6 | 230 19.5 N 7 02.7
12 | 269 01.5 | 32 57.1 S17 30.4 | 96 42.7 N 6 00.9 | 306 32.8 S15 27.5 | 245 22.0 N 7 02.7
13 | 284 03.9 | 47 59.3 S17 30.0 | 111 44.3 N 6 00.6 | 321 34.8 S15 27.3 | 260 24.5 N 7 02.7
14 | 299 06.4 | 63 01.5 S17 29.6 | 126 45.9 N 6 00.3 | 336 36.8 S15 27.2 | 275 27.0 N 7 02.7
15 | 314 08.9 | 78 03.7 S17 29.3 | 141 47.5 N 5 60.0 | 351 38.8 S15 27.0 | 290 29.5 N 7 02.7
16 | 329 11.3 | 93 05.8 S17 28.9 | 156 49.1 N 5 59.7 | 6 40.8 S15 26.9 | 305 32.0 N 7 02.7
17 | 344 13.8 | 108 08.0 S17 28.5 | 171 50.7 N 5 59.4 | 21 42.8 S15 26.7 | 320 34.5 N 7 02.7
18 | 359 16.3 | 123 10.2 S17 28.2 | 186 52.3 N 5 59.1 | 36 44.8 S15 26.6 | 335 37.0 N 7 02.7
19 | 14 18.7 | 138 12.3 S17 27.8 | 201 53.9 N 5 58.8 | 51 46.8 S15 26.4 | 350 39.5 N 7 02.7
20 | 29 21.2 | 153 14.5 S17 27.5 | 216 55.5 N 5 58.5 | 66 48.8 S15 26.3 | 5 42.0 N 7 02.7
21 | 44 23.6 | 168 16.6 S17 27.1 | 231 57.1 N 5 58.2 | 81 50.8 S15 26.1 | 20 44.5 N 7 02.7
22 | 59 26.1 | 183 18.8 S17 26.8 | 246 58.8 N 5 57.9 | 96 52.8 S15 26.0 | 35 47.0 N 7 02.7
23 | 74 28.6 | 198 20.9 S17 26.4 | 262 00.4 N 5 57.6 | 111 54.8 S15 25.8 | 50 49.5 N 7 02.7
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21 0 | 89 31.0 | 213 23.1 S17 26.1 | 277 02.0 N 5 57.3 | 126 56.8 S15 25.7 | 65 52.0 N 7 02.7
1 | 104 33.5 | 228 25.2 S17 25.7 | 292 03.6 N 5 57.0 | 141 58.8 S15 25.5 | 80 54.5 N 7 02.7
2 | 119 36.0 | 243 27.3 S17 25.4 | 307 05.2 N 5 56.7 | 157 00.8 S15 25.4 | 95 57.0 N 7 02.7
3 | 134 38.4 | 258 29.5 S17 25.1 | 322 06.8 N 5 56.4 | 172 02.8 S15 25.3 | 110 59.5 N 7 02.7
4 | 149 40.9 | 273 31.6 S17 24.7 | 337 08.4 N 5 56.1 | 187 04.8 S15 25.1 | 126 02.0 N 7 02.7
S 5 | 164 43.4 | 288 33.7 S17 24.4 | 352 10.0 N 5 55.8 | 202 06.8 S15 25.0 | 141 04.4 N 7 02.7
U
N 6 | 179 45.8 | 303 35.8 S17 24.0 | 7 11.6 N 5 55.5 | 217 08.8 S15 24.8 | 156 06.9 N 7 02.7
D 7 | 194 48.3 | 318 37.9 S17 23.7 | 22 13.2 N 5 55.2 | 232 10.8 S15 24.7 | 171 09.4 N 7 02.7
A 8 | 209 50.8 | 333 40.1 S17 23.4 | 37 14.8 N 5 54.9 | 247 12.8 S15 24.5 | 186 11.9 N 7 02.7
Y 9 | 224 53.2 | 348 42.2 S17 23.0 | 52 16.4 N 5 54.6 | 262 14.8 S15 24.4 | 201 14.4 N 7 02.7
10 | 239 55.7 | 3 44.3 S17 22.7 | 67 18.1 N 5 54.3 | 277 16.7 S15 24.2 | 216 16.9 N 7 02.7
11 | 254 58.1 | 18 46.4 S17 22.4 | 82 19.7 N 5 54.0 | 292 18.7 S15 24.1 | 231 19.4 N 7 02.7
12 | 270 00.6 | 33 48.4 S17 22.0 | 97 21.3 N 5 53.7 | 307 20.7 S15 23.9 | 246 21.9 N 7 02.7
13 | 285 03.1 | 48 50.5 S17 21.7 | 112 22.9 N 5 53.4 | 322 22.7 S15 23.8 | 261 24.4 N 7 02.7
14 | 300 05.5 | 63 52.6 S17 21.4 | 127 24.5 N 5 53.1 | 337 24.7 S15 23.6 | 276 26.9 N 7 02.7
15 | 315 08.0 | 78 54.7 S17 21.1 | 142 26.1 N 5 52.8 | 352 26.7 S15 23.4 | 291 29.4 N 7 02.7
16 | 330 10.5 | 93 56.8 S17 20.8 | 157 27.7 N 5 52.5 | 7 28.7 S15 23.3 | 306 31.9 N 7 02.7
17 | 345 12.9 | 108 58.9 S17 20.4 | 172 29.4 N 5 52.3 | 22 30.7 S15 23.1 | 321 34.4 N 7 02.7
18 | 0 15.4 | 124 00.9 S17 20.1 | 187 31.0 N 5 52.0 | 37 32.7 S15 23.0 | 336 36.9 N 7 02.7
19 | 15 17.9 | 139 03.0 S17 19.8 | 202 32.6 N 5 51.7 | 52 34.7 S15 22.8 | 351 39.4 N 7 02.7
20 | 30 20.3 | 154 05.1 S17 19.5 | 217 34.2 N 5 51.4 | 67 36.7 S15 22.7 | 6 41.9 N 7 02.7
21 | 45 22.8 | 169 07.1 S17 19.2 | 232 35.8 N 5 51.1 | 82 38.7 S15 22.5 | 21 44.4 N 7 02.7
22 | 60 25.3 | 184 09.2 S17 18.9 | 247 37.5 N 5 50.8 | 97 40.7 S15 22.4 | 36 46.9 N 7 02.7
23 | 75 27.7 | 199 11.2 S17 18.6 | 262 39.1 N 5 50.5 | 112 42.7 S15 22.2 | 51 49.3 N 7 02.7
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| v 2.2 d 0.4 | v 1.6 d 0.3 | v 2.0 d 0.1 | v 2.5 d 0.0
2910 DEC. 19, 20, 21 (FRI, SAT, SUN)
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| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
19 0 | 181 14.7 S23 16.5 | 222 54.4 14.4 S11 38.5 8.0 54.1 | Acamar 306 43.1 S36 42.1
1 | 196 14.4 S23 16.6 | 237 27.8 14.3 S11 46.4 7.9 54.1 | Achernar 327 01.9 S52 39.0
2 | 211 14.1 S23 16.6 | 252 01.1 14.3 S11 54.3 7.9 54.1 | Acrux 160 29.8 S68 06.8
3 | 226 13.8 S23 16.7 | 266 34.4 14.3 S12 02.1 7.8 54.1 | Adhara 246 18.4 S30 14.7
4 | 241 13.5 S23 16.8 | 281 07.7 14.3 S12 09.9 7.8 54.1 | Albireo 58 03.9 N29 54.2
F 5 | 256 13.2 S23 16.8 | 295 40.9 14.3 S12 17.6 7.7 54.1 |
R | | | Aldebaran 277 52.1 N18 16.7
I 6 | 271 12.9 S23 16.9 | 310 14.1 14.2 S12 25.3 7.7 54.0 | Alioth 156 27.2 N51 02.5
D 7 | 286 12.6 S23 17.0 | 324 47.3 14.2 S12 32.9 7.6 54.0 | Alkaid 144 05.3 N44 48.0
A 8 | 301 12.3 S23 17.0 | 339 20.5 14.2 S12 40.5 7.6 54.0 | Al Na-ir 13 37.1 S42 32.7
Y 9 | 316 12.0 S23 17.1 | 353 53.7 14.2 S12 48.0 7.5 54.0 | Alnilam 264 18.8 S 0 40.5
10 | 331 11.7 S23 17.1 | 8 26.8 14.1 S12 55.4 7.4 54.0 |
11 | 346 11.4 S23 17.2 | 22 59.9 14.1 S13 02.8 7.4 54.0 | Alphard 206 50.6 S12 37.3
| | | Alphecca 116 36.8 N23 41.7
12 | 1 11.1 S23 17.2 | 37 33.0 14.1 S13 10.1 7.3 54.0 | Alpheratz 346 01.8 N34 06.0
13 | 16 10.8 S23 17.3 | 52 06.1 14.1 S13 17.4 7.3 54.0 | Altair 51 08.1 N11 18.6
14 | 31 10.6 S23 17.3 | 66 39.1 14.0 S13 24.7 7.2 54.0 | Ankaa 342 08.7 S37 23.5
15 | 46 10.3 S23 17.4 | 81 12.1 14.0 S13 31.8 7.2 54.0 |
16 | 61 10.0 S23 17.5 | 95 45.1 14.0 S13 38.9 7.1 54.0 | Antares 98 36.5 S28 23.3
17 | 76 09.7 S23 17.5 | 110 18.0 13.9 S13 46.0 7.1 54.0 | Arcturus 135 37.7 N14 28.9
| | | Atria 83 34.8 S70 35.7
18 | 91 09.4 S23 17.6 | 124 50.9 13.9 S13 53.0 7.0 54.0 | Avior 229 36.5 S62 26.7
19 | 106 09.1 S23 17.6 | 139 23.8 13.9 S13 59.9 6.9 54.0 | Bellatrix 266 25.5 N 7 07.0
20 | 121 08.8 S23 17.7 | 153 56.7 13.9 S14 06.8 6.9 54.0 |
21 | 136 08.5 S23 17.7 | 168 29.5 13.8 S14 13.6 6.8 54.0 | Betelgeuse 258 48.3 N 7 31.3
22 | 151 08.2 S23 17.7 | 183 02.3 13.8 S14 20.4 6.8 54.0 | Canopus 258 50.9 S53 13.0
23 | 166 07.9 S23 17.8 | 197 35.1 13.8 S14 27.0 6.7 54.0 | Capella 263 55.4 N46 50.9
------+-------------------+----------------------------------| Castor 231 46.8 N29 50.5
20 0 | 181 07.6 S23 17.8 | 212 07.8 13.7 S14 33.7 6.6 54.0 | Deneb 41 48.0 N48 33.1
1 | 196 07.3 S23 17.9 | 226 40.6 13.7 S14 40.2 6.6 54.0 |
2 | 211 07.0 S23 17.9 | 241 13.2 13.7 S14 46.8 6.5 54.0 | Denebola 171 04.0 N 9 29.8
3 | 226 06.7 S23 18.0 | 255 45.9 13.7 S14 53.2 6.4 54.0 | Diphda 337 36.9 S13 01.1
4 | 241 06.4 S23 18.0 | 270 18.5 13.6 S14 59.6 6.4 54.0 | Dubhe 180 05.7 N56 49.8
S 5 | 256 06.1 S23 18.1 | 284 51.1 13.6 S15 05.9 6.3 54.0 | Elnath 263 57.4 N29 18.6
A | | | Eltanin 85 28.5 N51 24.4
T 6 | 271 05.8 S23 18.1 | 299 23.7 13.6 S15 12.1 6.2 54.0 |
U 7 | 286 05.5 S23 18.1 | 313 56.2 13.5 S15 18.3 6.2 53.9 | Enif 22 42.3 N14 03.8
R 8 | 301 05.2 S23 18.2 | 328 28.8 13.5 S15 24.4 6.1 53.9 | Fomalhaut 2 58.9 S24 48.2
D 9 | 316 04.9 S23 18.2 | 343 01.2 13.5 S15 30.5 6.1 53.9 | Gacrux 159 25.0 S62 10.8
A 10 | 331 04.6 S23 18.3 | 357 33.7 13.5 S15 36.5 6.0 53.9 | Gienah 164 15.0 S22 34.4
Y 11 | 346 04.3 S23 18.3 | 12 06.1 13.4 S15 42.4 5.9 53.9 | Hadar 132 46.9 S64 42.6
| | |
12 | 1 04.0 S23 18.3 | 26 38.5 13.4 S15 48.2 5.8 53.9 | Hamal 315 16.0 N27 43.4
13 | 16 03.7 S23 18.4 | 41 10.9 13.4 S15 54.0 5.8 53.9 | Kaus Austr. 68 48.2 S33 53.6
14 | 31 03.4 S23 18.4 | 55 43.2 13.3 S15 59.7 5.7 53.9 | Kochab 137 43.2 N70 26.5
15 | 46 03.2 S23 18.4 | 70 15.5 13.3 S16 05.4 5.6 53.9 | Markab 2 23.4 N20 06.0
16 | 61 02.9 S23 18.5 | 84 47.8 13.3 S16 10.9 5.6 53.9 | Menkar 302 26.3 N 7 36.6
17 | 76 02.6 S23 18.5 | 99 20.0 13.2 S16 16.4 5.5 53.9 |
| | | Menkent 134 49.0 S40 48.1
18 | 91 02.3 S23 18.5 | 113 52.2 13.2 S16 21.9 5.4 53.9 | Miaplacidus 219 08.5 S73 27.5
19 | 106 02.0 S23 18.6 | 128 24.4 13.2 S16 27.2 5.4 53.9 | Mirfak 292 31.1 N53 02.2
20 | 121 01.7 S23 18.6 | 142 56.5 13.1 S16 32.5 5.3 53.9 | Nunki 62 01.7 S25 06.7
21 | 136 01.4 S23 18.6 | 157 28.6 13.1 S16 37.7 5.2 53.9 | Peacock 35 38.8 S53 46.2
22 | 151 01.1 S23 18.6 | 172 00.7 13.1 S16 42.9 5.1 53.9 |
23 | 166 00.8 S23 18.7 | 186 32.8 13.1 S16 48.0 5.1 53.9 | Polaris 92 24.0 N93 20.1
------+-------------------+----------------------------------| Pollux 229 42.0 N25 46.7
21 0 | 181 00.5 S23 18.7 | 201 04.8 13.0 S16 53.0 5.0 54.0 | Procyon 233 11.7 N 2 51.0
1 | 196 00.2 S23 18.7 | 215 36.8 13.0 S16 57.9 4.9 54.0 | Rasalhague 85 37.7 N11 56.8
2 | 210 59.9 S23 18.8 | 230 08.8 13.0 S17 02.7 4.8 54.0 | Regulus 195 43.9 N 7 30.4
3 | 225 59.6 S23 18.8 | 244 40.7 12.9 S17 07.5 4.8 54.0 |
4 | 240 59.3 S23 18.8 | 259 12.6 12.9 S17 12.2 4.7 54.0 | Rigel 270 20.4 S 7 12.2
S 5 | 255 59.0 S23 18.8 | 273 44.5 12.9 S17 16.8 4.6 54.0 | Rigil Kent 124 28.0 S64 32.1
U | | | Sabik 89 16.8 S16 47.5
N 6 | 270 58.7 S23 18.8 | 288 16.3 12.8 S17 21.4 4.5 54.0 | Schedar 336 46.8 N61 30.4
D 7 | 285 58.4 S23 18.9 | 302 48.1 12.8 S17 25.8 4.5 54.0 | Shaula 81 04.7 S37 41.9
A 8 | 300 58.1 S23 18.9 | 317 19.9 12.8 S17 30.2 4.4 54.0 |
Y 9 | 315 57.8 S23 18.9 | 331 51.7 12.8 S17 34.5 4.3 54.0 | Sirius 248 36.3 S18 00.4
10 | 330 57.5 S23 18.9 | 346 23.4 12.7 S17 38.8 4.2 54.0 | Spica 146 37.3 S15 52.5
11 | 345 57.2 S23 18.9 | 0 55.1 12.7 S17 42.9 4.2 54.0 | Suhail 214 31.7 S47 07.1
| | | Vega 72 58.8 N39 39.8
12 | 0 56.9 S23 19.0 | 15 26.8 12.7 S17 47.0 4.1 54.0 | Zuben-ubi 124 58.5 S19 46.4
13 | 15 56.6 S23 19.0 | 29 58.4 12.6 S17 51.0 4.0 54.0 |
14 | 30 56.3 S23 19.0 | 44 30.0 12.6 S17 54.9 3.9 54.0 |
15 | 45 56.0 S23 19.0 | 59 01.6 12.6 S17 58.8 3.8 54.0 |
16 | 60 55.7 S23 19.0 | 73 33.2 12.6 S18 02.5 3.8 54.0 |
17 | 75 55.4 S23 19.0 | 88 04.7 12.5 S18 06.2 3.7 54.0 |
| | |
18 | 90 55.1 S23 19.0 | 102 36.2 12.5 S18 09.8 3.6 54.0 |
19 | 105 54.8 S23 19.1 | 117 07.7 12.5 S18 13.3 3.5 54.0 |
20 | 120 54.5 S23 19.1 | 131 39.2 12.4 S18 16.8 3.4 54.0 |
21 | 135 54.2 S23 19.1 | 146 10.6 12.4 S18 20.1 3.4 54.0 |
22 | 150 53.9 S23 19.1 | 160 42.0 12.4 S18 23.4 3.3 54.0 |
23 | 165 53.6 S23 19.1 | 175 13.3 12.4 S18 26.6 3.2 54.0 |
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|S.D. 16.2 d 0.0 | S.D. 14.7 14.7 14.7 |
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