
2091 DEC. 18, 19, 20 (TUE, WED, THU)
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| ARIES | VENUS | MARS | JUPITER | SATURN
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G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
18 0 | 86 52.5 | 141 33.9 S21 30.9 | 150 09.2 S22 21.0 | 149 06.1 S21 21.5 | 349 25.9 N22 21.2
1 | 101 55.0 | 156 33.2 S21 30.2 | 165 09.6 S22 20.6 | 164 08.0 S21 21.4 | 4 28.5 N22 21.2
2 | 116 57.4 | 171 32.5 S21 29.5 | 180 10.0 S22 20.3 | 179 09.9 S21 21.3 | 19 31.2 N22 21.2
3 | 131 59.9 | 186 31.7 S21 28.8 | 195 10.4 S22 19.9 | 194 11.7 S21 21.2 | 34 33.9 N22 21.2
4 | 147 02.4 | 201 31.0 S21 28.1 | 210 10.8 S22 19.6 | 209 13.6 S21 21.1 | 49 36.6 N22 21.3
T 5 | 162 04.8 | 216 30.3 S21 27.4 | 225 11.2 S22 19.2 | 224 15.5 S21 21.0 | 64 39.3 N22 21.3
U
E 6 | 177 07.3 | 231 29.6 S21 26.7 | 240 11.5 S22 18.9 | 239 17.4 S21 20.9 | 79 41.9 N22 21.3
S 7 | 192 09.7 | 246 28.9 S21 26.0 | 255 11.9 S22 18.5 | 254 19.3 S21 20.8 | 94 44.6 N22 21.3
D 8 | 207 12.2 | 261 28.1 S21 25.3 | 270 12.3 S22 18.2 | 269 21.2 S21 20.7 | 109 47.3 N22 21.3
A 9 | 222 14.7 | 276 27.4 S21 24.6 | 285 12.7 S22 17.8 | 284 23.0 S21 20.6 | 124 50.0 N22 21.3
Y 10 | 237 17.1 | 291 26.7 S21 23.9 | 300 13.1 S22 17.5 | 299 24.9 S21 20.5 | 139 52.7 N22 21.3
11 | 252 19.6 | 306 26.0 S21 23.2 | 315 13.5 S22 17.1 | 314 26.8 S21 20.4 | 154 55.4 N22 21.4
12 | 267 22.1 | 321 25.3 S21 22.5 | 330 13.9 S22 16.8 | 329 28.7 S21 20.3 | 169 58.0 N22 21.4
13 | 282 24.5 | 336 24.6 S21 21.7 | 345 14.3 S22 16.4 | 344 30.6 S21 20.2 | 185 00.7 N22 21.4
14 | 297 27.0 | 351 23.8 S21 21.0 | 0 14.7 S22 16.1 | 359 32.5 S21 20.1 | 200 03.4 N22 21.4
15 | 312 29.5 | 6 23.1 S21 20.3 | 15 15.1 S22 15.7 | 14 34.3 S21 20.0 | 215 06.1 N22 21.4
16 | 327 31.9 | 21 22.4 S21 19.6 | 30 15.5 S22 15.4 | 29 36.2 S21 19.9 | 230 08.8 N22 21.4
17 | 342 34.4 | 36 21.7 S21 18.9 | 45 15.9 S22 15.0 | 44 38.1 S21 19.8 | 245 11.4 N22 21.4
18 | 357 36.9 | 51 21.0 S21 18.2 | 60 16.3 S22 14.6 | 59 40.0 S21 19.7 | 260 14.1 N22 21.5
19 | 12 39.3 | 66 20.3 S21 17.5 | 75 16.7 S22 14.3 | 74 41.9 S21 19.6 | 275 16.8 N22 21.5
20 | 27 41.8 | 81 19.6 S21 16.7 | 90 17.1 S22 13.9 | 89 43.7 S21 19.5 | 290 19.5 N22 21.5
21 | 42 44.2 | 96 18.9 S21 16.0 | 105 17.5 S22 13.6 | 104 45.6 S21 19.4 | 305 22.2 N22 21.5
22 | 57 46.7 | 111 18.2 S21 15.3 | 120 17.9 S22 13.2 | 119 47.5 S21 19.3 | 320 24.9 N22 21.5
23 | 72 49.2 | 126 17.4 S21 14.6 | 135 18.3 S22 12.9 | 134 49.4 S21 19.2 | 335 27.5 N22 21.5
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19 0 | 87 51.6 | 141 16.7 S21 13.9 | 150 18.7 S22 12.5 | 149 51.3 S21 19.1 | 350 30.2 N22 21.5
1 | 102 54.1 | 156 16.0 S21 13.1 | 165 19.1 S22 12.1 | 164 53.2 S21 19.0 | 5 32.9 N22 21.6
2 | 117 56.6 | 171 15.3 S21 12.4 | 180 19.5 S22 11.8 | 179 55.0 S21 18.9 | 20 35.6 N22 21.6
3 | 132 59.0 | 186 14.6 S21 11.7 | 195 19.9 S22 11.4 | 194 56.9 S21 18.8 | 35 38.3 N22 21.6
4 | 148 01.5 | 201 13.9 S21 11.0 | 210 20.3 S22 11.0 | 209 58.8 S21 18.7 | 50 41.0 N22 21.6
W 5 | 163 04.0 | 216 13.2 S21 10.2 | 225 20.7 S22 10.7 | 225 00.7 S21 18.6 | 65 43.6 N22 21.6
E
D 6 | 178 06.4 | 231 12.5 S21 09.5 | 240 21.1 S22 10.3 | 240 02.6 S21 18.5 | 80 46.3 N22 21.6
N 7 | 193 08.9 | 246 11.8 S21 08.8 | 255 21.5 S22 10.0 | 255 04.4 S21 18.4 | 95 49.0 N22 21.6
E 8 | 208 11.4 | 261 11.1 S21 08.0 | 270 21.8 S22 09.6 | 270 06.3 S21 18.3 | 110 51.7 N22 21.7
S 9 | 223 13.8 | 276 10.4 S21 07.3 | 285 22.2 S22 09.2 | 285 08.2 S21 18.2 | 125 54.4 N22 21.7
D 10 | 238 16.3 | 291 09.7 S21 06.6 | 300 22.6 S22 08.9 | 300 10.1 S21 18.1 | 140 57.1 N22 21.7
A 11 | 253 18.7 | 306 09.0 S21 05.9 | 315 23.0 S22 08.5 | 315 12.0 S21 18.0 | 155 59.7 N22 21.7
Y
12 | 268 21.2 | 321 08.3 S21 05.1 | 330 23.4 S22 08.1 | 330 13.9 S21 17.9 | 171 02.4 N22 21.7
13 | 283 23.7 | 336 07.6 S21 04.4 | 345 23.8 S22 07.8 | 345 15.7 S21 17.8 | 186 05.1 N22 21.7
14 | 298 26.1 | 351 06.9 S21 03.6 | 0 24.2 S22 07.4 | 0 17.6 S21 17.7 | 201 07.8 N22 21.7
15 | 313 28.6 | 6 06.2 S21 02.9 | 15 24.6 S22 07.0 | 15 19.5 S21 17.6 | 216 10.5 N22 21.7
16 | 328 31.1 | 21 05.5 S21 02.2 | 30 25.0 S22 06.7 | 30 21.4 S21 17.5 | 231 13.2 N22 21.8
17 | 343 33.5 | 36 04.8 S21 01.4 | 45 25.4 S22 06.3 | 45 23.3 S21 17.4 | 246 15.8 N22 21.8
18 | 358 36.0 | 51 04.1 S21 00.7 | 60 25.8 S22 05.9 | 60 25.1 S21 17.3 | 261 18.5 N22 21.8
19 | 13 38.5 | 66 03.4 S20 60.0 | 75 26.2 S22 05.6 | 75 27.0 S21 17.2 | 276 21.2 N22 21.8
20 | 28 40.9 | 81 02.7 S20 59.2 | 90 26.6 S22 05.2 | 90 28.9 S21 17.1 | 291 23.9 N22 21.8
21 | 43 43.4 | 96 02.0 S20 58.5 | 105 27.0 S22 04.8 | 105 30.8 S21 17.0 | 306 26.6 N22 21.8
22 | 58 45.8 | 111 01.3 S20 57.7 | 120 27.4 S22 04.5 | 120 32.7 S21 16.9 | 321 29.3 N22 21.8
23 | 73 48.3 | 126 00.6 S20 57.0 | 135 27.8 S22 04.1 | 135 34.5 S21 16.8 | 336 31.9 N22 21.9
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20 0 | 88 50.8 | 140 59.9 S20 56.2 | 150 28.2 S22 03.7 | 150 36.4 S21 16.7 | 351 34.6 N22 21.9
1 | 103 53.2 | 155 59.2 S20 55.5 | 165 28.6 S22 03.4 | 165 38.3 S21 16.5 | 6 37.3 N22 21.9
2 | 118 55.7 | 170 58.5 S20 54.7 | 180 29.0 S22 03.0 | 180 40.2 S21 16.4 | 21 40.0 N22 21.9
3 | 133 58.2 | 185 57.8 S20 54.0 | 195 29.4 S22 02.6 | 195 42.1 S21 16.3 | 36 42.7 N22 21.9
4 | 149 00.6 | 200 57.1 S20 53.2 | 210 29.8 S22 02.3 | 210 43.9 S21 16.2 | 51 45.4 N22 21.9
T 5 | 164 03.1 | 215 56.5 S20 52.5 | 225 30.2 S22 01.9 | 225 45.8 S21 16.1 | 66 48.0 N22 21.9
H
U 6 | 179 05.6 | 230 55.8 S20 51.7 | 240 30.6 S22 01.5 | 240 47.7 S21 16.0 | 81 50.7 N22 22.0
R 7 | 194 08.0 | 245 55.1 S20 51.0 | 255 31.0 S22 01.1 | 255 49.6 S21 15.9 | 96 53.4 N22 22.0
S 8 | 209 10.5 | 260 54.4 S20 50.2 | 270 31.4 S22 00.8 | 270 51.5 S21 15.8 | 111 56.1 N22 22.0
D 9 | 224 13.0 | 275 53.7 S20 49.5 | 285 31.8 S22 00.4 | 285 53.3 S21 15.7 | 126 58.8 N22 22.0
A 10 | 239 15.4 | 290 53.0 S20 48.7 | 300 32.2 S22 00.0 | 300 55.2 S21 15.6 | 142 01.5 N22 22.0
Y 11 | 254 17.9 | 305 52.3 S20 48.0 | 315 32.6 S21 59.6 | 315 57.1 S21 15.5 | 157 04.1 N22 22.0
12 | 269 20.3 | 320 51.6 S20 47.2 | 330 33.0 S21 59.3 | 330 59.0 S21 15.4 | 172 06.8 N22 22.0
13 | 284 22.8 | 335 51.0 S20 46.4 | 345 33.4 S21 58.9 | 346 00.9 S21 15.3 | 187 09.5 N22 22.1
14 | 299 25.3 | 350 50.3 S20 45.7 | 0 33.8 S21 58.5 | 1 02.7 S21 15.2 | 202 12.2 N22 22.1
15 | 314 27.7 | 5 49.6 S20 44.9 | 15 34.2 S21 58.1 | 16 04.6 S21 15.1 | 217 14.9 N22 22.1
16 | 329 30.2 | 20 48.9 S20 44.2 | 30 34.6 S21 57.8 | 31 06.5 S21 15.0 | 232 17.6 N22 22.1
17 | 344 32.7 | 35 48.2 S20 43.4 | 45 35.0 S21 57.4 | 46 08.4 S21 14.9 | 247 20.2 N22 22.1
18 | 359 35.1 | 50 47.5 S20 42.6 | 60 35.4 S21 57.0 | 61 10.3 S21 14.8 | 262 22.9 N22 22.1
19 | 14 37.6 | 65 46.9 S20 41.9 | 75 35.8 S21 56.6 | 76 12.1 S21 14.7 | 277 25.6 N22 22.1
20 | 29 40.1 | 80 46.2 S20 41.1 | 90 36.2 S21 56.2 | 91 14.0 S21 14.6 | 292 28.3 N22 22.1
21 | 44 42.5 | 95 45.5 S20 40.3 | 105 36.6 S21 55.9 | 106 15.9 S21 14.5 | 307 31.0 N22 22.2
22 | 59 45.0 | 110 44.8 S20 39.6 | 120 37.0 S21 55.5 | 121 17.8 S21 14.4 | 322 33.7 N22 22.2
23 | 74 47.5 | 125 44.1 S20 38.8 | 135 37.4 S21 55.1 | 136 19.6 S21 14.3 | 337 36.4 N22 22.2
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| v -0.7 d 0.7 | v 0.4 d 0.4 | v 1.9 d 0.1 | v 2.7 d 0.0
2091 DEC. 18, 19, 20 (TUE, WED, THU)
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| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
18 0 | 180 55.5 S23 22.4 | 86 22.0 14.7 S 2 53.4 10.0 55.0 | Acamar 314 33.6 S39 56.7
1 | 195 55.1 S23 22.4 | 100 55.7 14.7 S 2 43.4 10.0 55.0 | Achernar 334 43.0 S56 46.7
2 | 210 54.8 S23 22.5 | 115 29.5 14.8 S 2 33.4 10.0 55.0 | Acrux 172 03.5 S63 36.0
3 | 225 54.5 S23 22.6 | 130 03.3 14.8 S 2 23.3 10.0 54.9 | Adhara 254 26.0 S29 06.1
4 | 240 54.2 S23 22.7 | 144 37.1 14.8 S 2 13.3 10.0 54.9 | Albireo 66 23.9 N28 09.6
T 5 | 255 53.9 S23 22.7 | 159 11.0 14.9 S 2 03.3 10.0 54.9 |
U | | | Aldebaran 289 41.7 N16 41.2
E 6 | 270 53.6 S23 22.8 | 173 44.9 14.9 S 1 53.3 10.0 54.9 | Alioth 165 29.6 N55 27.6
S 7 | 285 53.3 S23 22.9 | 188 18.8 14.9 S 1 43.2 10.0 54.8 | Alkaid 152 13.1 N48 51.3
D 8 | 300 53.0 S23 22.9 | 202 52.7 14.9 S 1 33.2 10.0 54.8 | Al Na-ir 26 30.5 S46 31.0
A 9 | 315 52.7 S23 23.0 | 217 26.7 15.0 S 1 23.2 10.0 54.8 | Alnilam 274 46.5 S 1 09.0
Y 10 | 330 52.4 S23 23.1 | 232 00.7 15.0 S 1 13.2 10.0 54.8 |
11 | 345 52.1 S23 23.1 | 246 34.7 15.0 S 1 03.2 10.0 54.8 | Alphard 216 58.2 S 9 03.6
| | | Alphecca 125 21.7 N26 24.6
12 | 0 51.8 S23 23.2 | 261 08.7 15.0 S 0 53.1 10.0 54.7 | Alpheratz 356 42.7 N29 36.0
13 | 15 51.5 S23 23.2 | 275 42.8 15.1 S 0 43.1 10.0 54.7 | Altair 61 11.4 N 9 07.0
14 | 30 51.2 S23 23.3 | 290 16.8 15.1 S 0 33.1 10.0 54.7 | Ankaa 352 17.9 S41 48.8
15 | 45 50.9 S23 23.4 | 304 50.9 15.1 S 0 23.1 10.0 54.7 |
16 | 60 50.5 S23 23.4 | 319 25.0 15.1 S 0 13.1 10.0 54.7 | Antares 111 14.6 S26 37.6
17 | 75 50.2 S23 23.5 | 333 59.2 15.1 S 0 03.1 10.0 54.7 | Arcturus 145 02.5 N18 42.4
| | | Atria 105 24.2 S69 11.0
18 | 90 49.9 S23 23.5 | 348 33.3 15.2 N 0 06.9 10.0 54.6 | Avior 233 53.4 S59 48.3
19 | 105 49.6 S23 23.6 | 3 07.5 15.2 N 0 16.9 10.0 54.6 | Bellatrix 277 28.8 N 6 25.5
20 | 120 49.3 S23 23.6 | 17 41.7 15.2 N 0 26.8 10.0 54.6 |
21 | 135 49.0 S23 23.7 | 32 15.9 15.2 N 0 36.8 10.0 54.6 | Betelgeuse 269 57.5 N 7 25.0
22 | 150 48.7 S23 23.8 | 46 50.1 15.2 N 0 46.8 10.0 54.6 | Canopus 263 29.5 S52 45.0
23 | 165 48.4 S23 23.8 | 61 24.4 15.2 N 0 56.7 10.0 54.5 | Capella 279 07.2 N46 05.0
------+-------------------+----------------------------------| Castor 244 52.9 N31 40.7
19 0 | 180 48.1 S23 23.9 | 75 58.6 15.2 N 1 06.7 9.9 54.5 | Deneb 48 51.8 N45 36.9
1 | 195 47.8 S23 23.9 | 90 32.9 15.3 N 1 16.6 9.9 54.5 |
2 | 210 47.5 S23 24.0 | 105 07.1 15.3 N 1 26.5 9.9 54.5 | Denebola 181 33.9 N14 03.5
3 | 225 47.2 S23 24.0 | 119 41.4 15.3 N 1 36.4 9.9 54.5 | Diphda 347 57.1 S17 29.2
4 | 240 46.9 S23 24.1 | 134 15.7 15.3 N 1 46.3 9.9 54.5 | Dubhe 192 40.0 N61 14.9
W 5 | 255 46.5 S23 24.1 | 148 50.0 15.3 N 1 56.2 9.9 54.5 | Elnath 276 58.1 N28 40.6
E | | | Eltanin 90 19.4 N51 28.9
D 6 | 270 46.2 S23 24.2 | 163 24.3 15.3 N 2 06.1 9.9 54.4 |
N 7 | 285 45.9 S23 24.2 | 177 58.6 15.3 N 2 15.9 9.9 54.4 | Enif 32 49.7 N10 18.0
E 8 | 300 45.6 S23 24.2 | 192 32.9 15.3 N 2 25.8 9.8 54.4 | Fomalhaut 14 19.5 S29 08.2
S 9 | 315 45.3 S23 24.3 | 207 07.3 15.3 N 2 35.6 9.8 54.4 | Gacrux 170 55.4 S57 37.3
D 10 | 330 45.0 S23 24.3 | 221 41.6 15.3 N 2 45.4 9.8 54.4 | Gienah 174 51.9 S18 02.9
A 11 | 345 44.7 S23 24.4 | 236 15.9 15.3 N 2 55.2 9.8 54.4 | Hadar 147 24.7 S60 48.4
Y | | |
12 | 0 44.4 S23 24.4 | 250 50.3 15.3 N 3 05.0 9.8 54.4 | Hamal 326 54.3 N23 53.7
13 | 15 44.1 S23 24.5 | 265 24.6 15.3 N 3 14.8 9.8 54.3 | Kaus Austr. 82 26.5 S34 20.0
14 | 30 43.8 S23 24.5 | 279 59.0 15.3 N 3 24.5 9.8 54.3 | Kochab 137 23.6 N73 46.7
15 | 45 43.5 S23 24.5 | 294 33.3 15.3 N 3 34.3 9.7 54.3 | Markab 12 39.9 N15 42.1
16 | 60 43.2 S23 24.6 | 309 07.7 15.3 N 3 44.0 9.7 54.3 | Menkar 313 13.4 N 4 26.7
17 | 75 42.9 S23 24.6 | 323 42.0 15.3 N 3 53.7 9.7 54.3 |
| | | Menkent 146 58.5 S36 48.9
18 | 90 42.5 S23 24.7 | 338 16.4 15.3 N 4 03.4 9.7 54.3 | Miaplacidus 221 26.3 S70 05.6
19 | 105 42.2 S23 24.7 | 352 50.7 15.3 N 4 13.1 9.7 54.3 | Mirfak 307 15.8 N50 11.0
20 | 120 41.9 S23 24.7 | 7 25.1 15.3 N 4 22.7 9.6 54.3 | Nunki 74 46.1 S26 10.5
21 | 135 41.6 S23 24.8 | 21 59.4 15.3 N 4 32.3 9.6 54.3 | Peacock 51 47.6 S56 26.2
22 | 150 41.3 S23 24.8 | 36 33.7 15.3 N 4 41.9 9.6 54.2 |
23 | 165 41.0 S23 24.8 | 51 08.1 15.3 N 4 51.5 9.6 54.2 | Polaris 299 01.0 N89 39.7
------+-------------------+----------------------------------| Pollux 242 15.8 N27 47.7
20 0 | 180 40.7 S23 24.9 | 65 42.4 15.3 N 5 01.1 9.6 54.2 | Procyon 243 58.1 N 4 59.0
1 | 195 40.4 S23 24.9 | 80 16.7 15.3 N 5 10.6 9.5 54.2 | Rasalhague 95 12.4 N12 30.0
2 | 210 40.1 S23 24.9 | 94 51.0 15.3 N 5 20.1 9.5 54.2 | Regulus 206 41.0 N11 30.9
3 | 225 39.8 S23 25.0 | 109 25.3 15.3 N 5 29.6 9.5 54.2 |
4 | 240 39.5 S23 25.0 | 123 59.6 15.3 N 5 39.1 9.5 54.2 | Rigel 280 15.3 S 8 06.2
T 5 | 255 39.2 S23 25.0 | 138 33.9 15.3 N 5 48.5 9.4 54.2 | Rigil Kent 138 32.0 S61 12.3
H | | | Sabik 101 05.6 S15 49.8
U 6 | 270 38.8 S23 25.1 | 153 08.2 15.3 N 5 57.9 9.4 54.2 | Schedar 348 33.2 N57 02.6
R 7 | 285 38.5 S23 25.1 | 167 42.5 15.3 N 6 07.3 9.4 54.2 | Shaula 95 02.7 S37 09.7
S 8 | 300 38.2 S23 25.1 | 182 16.7 15.3 N 6 16.7 9.4 54.2 |
D 9 | 315 37.9 S23 25.1 | 196 51.0 15.2 N 6 26.0 9.3 54.2 | Sirius 257 41.7 S16 50.9
A 10 | 330 37.6 S23 25.2 | 211 25.2 15.2 N 6 35.3 9.3 54.1 | Spica 157 29.5 S11 38.2
Y 11 | 345 37.3 S23 25.2 | 225 59.5 15.2 N 6 44.6 9.3 54.1 | Suhail 222 08.9 S43 48.2
| | | Vega 79 59.7 N38 52.5
12 | 0 37.0 S23 25.2 | 240 33.7 15.2 N 6 53.9 9.3 54.1 | Zuben-ubi 136 03.2 S16 25.0
13 | 15 36.7 S23 25.2 | 255 07.9 15.2 N 7 03.1 9.2 54.1 |
14 | 30 36.4 S23 25.2 | 269 42.0 15.2 N 7 12.3 9.2 54.1 |
15 | 45 36.1 S23 25.3 | 284 16.2 15.2 N 7 21.5 9.2 54.1 |
16 | 60 35.8 S23 25.3 | 298 50.3 15.1 N 7 30.6 9.1 54.1 |
17 | 75 35.4 S23 25.3 | 313 24.5 15.1 N 7 39.7 9.1 54.1 |
| | |
18 | 90 35.1 S23 25.3 | 327 58.6 15.1 N 7 48.8 9.1 54.1 |
19 | 105 34.8 S23 25.3 | 342 32.7 15.1 N 7 57.8 9.0 54.1 |
20 | 120 34.5 S23 25.4 | 357 06.7 15.1 N 8 06.8 9.0 54.1 |
21 | 135 34.2 S23 25.4 | 11 40.8 15.1 N 8 15.8 9.0 54.1 |
22 | 150 33.9 S23 25.4 | 26 14.8 15.0 N 8 24.8 8.9 54.1 |
23 | 165 33.6 S23 25.4 | 40 48.8 15.0 N 8 33.7 8.9 54.1 |
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|S.D. 16.3 d 0.0 | S.D. 14.9 14.8 14.8 |
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