
2690 DEC. 19, 20, 21 (FRI, SAT, SUN)
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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 | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
19 0 | 87 48.5 | 192 48.0 S22 05.4 | 269 26.3 N 3 11.9 | 296 38.5 N12 33.2 | 217 52.6 S16 03.0
1 | 102 50.9 | 207 47.1 S22 05.8 | 284 27.8 N 3 11.5 | 311 40.9 N12 33.2 | 232 54.8 S16 03.1
2 | 117 53.4 | 222 46.2 S22 06.2 | 299 29.3 N 3 11.1 | 326 43.4 N12 33.2 | 247 57.0 S16 03.1
3 | 132 55.9 | 237 45.3 S22 06.6 | 314 30.7 N 3 10.7 | 341 45.9 N12 33.3 | 262 59.2 S16 03.2
4 | 147 58.3 | 252 44.4 S22 07.0 | 329 32.2 N 3 10.3 | 356 48.4 N12 33.3 | 278 01.4 S16 03.2
F 5 | 163 00.8 | 267 43.5 S22 07.4 | 344 33.7 N 3 10.0 | 11 50.9 N12 33.3 | 293 03.6 S16 03.3
R
I 6 | 178 03.2 | 282 42.6 S22 07.8 | 359 35.1 N 3 09.6 | 26 53.4 N12 33.3 | 308 05.8 S16 03.4
D 7 | 193 05.7 | 297 41.7 S22 08.3 | 14 36.6 N 3 09.2 | 41 55.9 N12 33.3 | 323 08.0 S16 03.4
A 8 | 208 08.2 | 312 40.8 S22 08.7 | 29 38.1 N 3 08.8 | 56 58.4 N12 33.4 | 338 10.2 S16 03.5
Y 9 | 223 10.6 | 327 39.9 S22 09.1 | 44 39.5 N 3 08.4 | 72 00.9 N12 33.4 | 353 12.4 S16 03.6
10 | 238 13.1 | 342 39.0 S22 09.5 | 59 41.0 N 3 08.1 | 87 03.4 N12 33.4 | 8 14.6 S16 03.6
11 | 253 15.6 | 357 38.1 S22 09.9 | 74 42.5 N 3 07.7 | 102 05.9 N12 33.4 | 23 16.8 S16 03.7
12 | 268 18.0 | 12 37.1 S22 10.3 | 89 43.9 N 3 07.3 | 117 08.4 N12 33.4 | 38 19.0 S16 03.8
13 | 283 20.5 | 27 36.2 S22 10.7 | 104 45.4 N 3 06.9 | 132 10.9 N12 33.5 | 53 21.2 S16 03.8
14 | 298 23.0 | 42 35.3 S22 11.1 | 119 46.9 N 3 06.5 | 147 13.4 N12 33.5 | 68 23.4 S16 03.9
15 | 313 25.4 | 57 34.4 S22 11.5 | 134 48.4 N 3 06.2 | 162 15.9 N12 33.5 | 83 25.6 S16 03.9
16 | 328 27.9 | 72 33.5 S22 11.9 | 149 49.8 N 3 05.8 | 177 18.4 N12 33.5 | 98 27.8 S16 04.0
17 | 343 30.4 | 87 32.6 S22 12.3 | 164 51.3 N 3 05.4 | 192 20.9 N12 33.6 | 113 30.0 S16 04.1
18 | 358 32.8 | 102 31.7 S22 12.7 | 179 52.8 N 3 05.0 | 207 23.4 N12 33.6 | 128 32.2 S16 04.1
19 | 13 35.3 | 117 30.8 S22 13.1 | 194 54.2 N 3 04.7 | 222 25.9 N12 33.6 | 143 34.4 S16 04.2
20 | 28 37.7 | 132 29.9 S22 13.5 | 209 55.7 N 3 04.3 | 237 28.4 N12 33.6 | 158 36.5 S16 04.3
21 | 43 40.2 | 147 29.0 S22 13.9 | 224 57.2 N 3 03.9 | 252 30.9 N12 33.7 | 173 38.7 S16 04.3
22 | 58 42.7 | 162 28.1 S22 14.3 | 239 58.7 N 3 03.5 | 267 33.4 N12 33.7 | 188 40.9 S16 04.4
23 | 73 45.1 | 177 27.2 S22 14.7 | 255 00.1 N 3 03.1 | 282 35.9 N12 33.7 | 203 43.1 S16 04.5
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20 0 | 88 47.6 | 192 26.3 S22 15.1 | 270 01.6 N 3 02.8 | 297 38.4 N12 33.7 | 218 45.3 S16 04.5
1 | 103 50.1 | 207 25.4 S22 15.5 | 285 03.1 N 3 02.4 | 312 40.9 N12 33.7 | 233 47.5 S16 04.6
2 | 118 52.5 | 222 24.5 S22 15.9 | 300 04.6 N 3 02.0 | 327 43.4 N12 33.8 | 248 49.7 S16 04.6
3 | 133 55.0 | 237 23.6 S22 16.2 | 315 06.0 N 3 01.6 | 342 45.9 N12 33.8 | 263 51.9 S16 04.7
4 | 148 57.5 | 252 22.7 S22 16.6 | 330 07.5 N 3 01.3 | 357 48.4 N12 33.8 | 278 54.1 S16 04.8
S 5 | 163 59.9 | 267 21.8 S22 17.0 | 345 09.0 N 3 00.9 | 12 50.9 N12 33.8 | 293 56.3 S16 04.8
A
T 6 | 179 02.4 | 282 20.9 S22 17.4 | 0 10.5 N 3 00.5 | 27 53.4 N12 33.9 | 308 58.5 S16 04.9
U 7 | 194 04.9 | 297 19.9 S22 17.8 | 15 11.9 N 3 00.1 | 42 55.9 N12 33.9 | 324 00.7 S16 05.0
R 8 | 209 07.3 | 312 19.0 S22 18.2 | 30 13.4 N 2 59.8 | 57 58.4 N12 33.9 | 339 02.9 S16 05.0
D 9 | 224 09.8 | 327 18.1 S22 18.5 | 45 14.9 N 2 59.4 | 73 00.9 N12 33.9 | 354 05.1 S16 05.1
A 10 | 239 12.2 | 342 17.2 S22 18.9 | 60 16.4 N 2 59.0 | 88 03.4 N12 34.0 | 9 07.3 S16 05.2
Y 11 | 254 14.7 | 357 16.3 S22 19.3 | 75 17.9 N 2 58.6 | 103 05.9 N12 34.0 | 24 09.5 S16 05.2
12 | 269 17.2 | 12 15.4 S22 19.7 | 90 19.3 N 2 58.3 | 118 08.4 N12 34.0 | 39 11.7 S16 05.3
13 | 284 19.6 | 27 14.5 S22 20.1 | 105 20.8 N 2 57.9 | 133 10.9 N12 34.0 | 54 13.9 S16 05.3
14 | 299 22.1 | 42 13.6 S22 20.4 | 120 22.3 N 2 57.5 | 148 13.4 N12 34.1 | 69 16.1 S16 05.4
15 | 314 24.6 | 57 12.7 S22 20.8 | 135 23.8 N 2 57.1 | 163 15.9 N12 34.1 | 84 18.3 S16 05.5
16 | 329 27.0 | 72 11.7 S22 21.2 | 150 25.3 N 2 56.8 | 178 18.4 N12 34.1 | 99 20.5 S16 05.5
17 | 344 29.5 | 87 10.8 S22 21.6 | 165 26.7 N 2 56.4 | 193 20.9 N12 34.1 | 114 22.7 S16 05.6
18 | 359 32.0 | 102 09.9 S22 21.9 | 180 28.2 N 2 56.0 | 208 23.4 N12 34.2 | 129 24.9 S16 05.7
19 | 14 34.4 | 117 09.0 S22 22.3 | 195 29.7 N 2 55.6 | 223 25.9 N12 34.2 | 144 27.1 S16 05.7
20 | 29 36.9 | 132 08.1 S22 22.7 | 210 31.2 N 2 55.3 | 238 28.5 N12 34.2 | 159 29.3 S16 05.8
21 | 44 39.4 | 147 07.2 S22 23.0 | 225 32.7 N 2 54.9 | 253 31.0 N12 34.2 | 174 31.5 S16 05.8
22 | 59 41.8 | 162 06.3 S22 23.4 | 240 34.2 N 2 54.5 | 268 33.5 N12 34.3 | 189 33.7 S16 05.9
23 | 74 44.3 | 177 05.4 S22 23.8 | 255 35.6 N 2 54.2 | 283 36.0 N12 34.3 | 204 35.9 S16 06.0
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21 0 | 89 46.7 | 192 04.4 S22 24.1 | 270 37.1 N 2 53.8 | 298 38.5 N12 34.3 | 219 38.1 S16 06.0
1 | 104 49.2 | 207 03.5 S22 24.5 | 285 38.6 N 2 53.4 | 313 41.0 N12 34.3 | 234 40.3 S16 06.1
2 | 119 51.7 | 222 02.6 S22 24.9 | 300 40.1 N 2 53.0 | 328 43.5 N12 34.4 | 249 42.5 S16 06.2
3 | 134 54.1 | 237 01.7 S22 25.2 | 315 41.6 N 2 52.7 | 343 46.0 N12 34.4 | 264 44.7 S16 06.2
4 | 149 56.6 | 252 00.8 S22 25.6 | 330 43.1 N 2 52.3 | 358 48.5 N12 34.4 | 279 46.9 S16 06.3
S 5 | 164 59.1 | 266 59.9 S22 25.9 | 345 44.6 N 2 51.9 | 13 51.0 N12 34.5 | 294 49.1 S16 06.3
U
N 6 | 180 01.5 | 281 59.0 S22 26.3 | 0 46.0 N 2 51.6 | 28 53.5 N12 34.5 | 309 51.3 S16 06.4
D 7 | 195 04.0 | 296 58.0 S22 26.6 | 15 47.5 N 2 51.2 | 43 56.1 N12 34.5 | 324 53.5 S16 06.5
A 8 | 210 06.5 | 311 57.1 S22 27.0 | 30 49.0 N 2 50.8 | 58 58.6 N12 34.5 | 339 55.7 S16 06.5
Y 9 | 225 08.9 | 326 56.2 S22 27.4 | 45 50.5 N 2 50.4 | 74 01.1 N12 34.6 | 354 57.9 S16 06.6
10 | 240 11.4 | 341 55.3 S22 27.7 | 60 52.0 N 2 50.1 | 89 03.6 N12 34.6 | 10 00.1 S16 06.7
11 | 255 13.8 | 356 54.4 S22 28.1 | 75 53.5 N 2 49.7 | 104 06.1 N12 34.6 | 25 02.3 S16 06.7
12 | 270 16.3 | 11 53.5 S22 28.4 | 90 55.0 N 2 49.3 | 119 08.6 N12 34.6 | 40 04.5 S16 06.8
13 | 285 18.8 | 26 52.5 S22 28.8 | 105 56.5 N 2 49.0 | 134 11.1 N12 34.7 | 55 06.7 S16 06.8
14 | 300 21.2 | 41 51.6 S22 29.1 | 120 58.0 N 2 48.6 | 149 13.6 N12 34.7 | 70 08.9 S16 06.9
15 | 315 23.7 | 56 50.7 S22 29.4 | 135 59.4 N 2 48.2 | 164 16.2 N12 34.7 | 85 11.1 S16 07.0
16 | 330 26.2 | 71 49.8 S22 29.8 | 151 00.9 N 2 47.9 | 179 18.7 N12 34.8 | 100 13.3 S16 07.0
17 | 345 28.6 | 86 48.9 S22 30.1 | 166 02.4 N 2 47.5 | 194 21.2 N12 34.8 | 115 15.5 S16 07.1
18 | 0 31.1 | 101 47.9 S22 30.5 | 181 03.9 N 2 47.1 | 209 23.7 N12 34.8 | 130 17.7 S16 07.1
19 | 15 33.6 | 116 47.0 S22 30.8 | 196 05.4 N 2 46.8 | 224 26.2 N12 34.8 | 145 19.9 S16 07.2
20 | 30 36.0 | 131 46.1 S22 31.2 | 211 06.9 N 2 46.4 | 239 28.7 N12 34.9 | 160 22.1 S16 07.3
21 | 45 38.5 | 146 45.2 S22 31.5 | 226 08.4 N 2 46.0 | 254 31.2 N12 34.9 | 175 24.3 S16 07.3
22 | 60 41.0 | 161 44.3 S22 31.8 | 241 09.9 N 2 45.6 | 269 33.8 N12 34.9 | 190 26.5 S16 07.4
23 | 75 43.4 | 176 43.3 S22 32.2 | 256 11.4 N 2 45.3 | 284 36.3 N12 35.0 | 205 28.7 S16 07.5
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| v -0.9 d 0.4 | v 1.5 d 0.4 | v 2.5 d 0.0 | v 2.2 d 0.1
2690 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 06.8 S23 18.9 | 224 01.0 13.3 S13 20.8 11.2 55.7 | Acamar 308 50.2 S37 34.2
1 | 196 06.5 S23 19.0 | 238 33.3 13.3 S13 31.9 11.2 55.7 | Achernar 329 06.4 S53 45.3
2 | 211 06.2 S23 19.0 | 253 05.6 13.3 S13 43.0 11.1 55.7 | Acrux 163 37.1 S66 54.3
3 | 226 05.9 S23 19.1 | 267 37.9 13.3 S13 54.1 11.0 55.6 | Adhara 248 30.2 S29 56.2
4 | 241 05.6 S23 19.1 | 282 10.1 13.2 S14 05.0 11.0 55.6 | Albireo 60 19.0 N29 26.0
F 5 | 256 05.3 S23 19.2 | 296 42.3 13.2 S14 15.9 10.9 55.6 |
R | | | Aldebaran 281 03.4 N17 51.3
I 6 | 271 05.0 S23 19.2 | 311 14.5 13.2 S14 26.7 10.8 55.6 | Alioth 158 53.4 N52 13.6
D 7 | 286 04.7 S23 19.3 | 325 46.6 13.1 S14 37.5 10.8 55.6 | Alkaid 146 17.0 N45 53.2
A 8 | 301 04.4 S23 19.3 | 340 18.7 13.1 S14 48.2 10.7 55.5 | Al Na-ir 17 05.4 S43 36.6
Y 9 | 316 04.1 S23 19.4 | 354 50.8 13.1 S14 58.8 10.6 55.5 | Alnilam 267 08.1 S 0 48.0
10 | 331 03.8 S23 19.4 | 9 22.9 13.0 S15 09.3 10.5 55.5 |
11 | 346 03.5 S23 19.5 | 23 54.9 13.0 S15 19.8 10.5 55.5 | Alphard 209 34.5 S11 39.9
| | | Alphecca 118 58.6 N24 25.3
12 | 1 03.2 S23 19.5 | 38 26.9 13.0 S15 30.2 10.4 55.5 | Alpheratz 348 54.8 N32 53.6
13 | 16 02.9 S23 19.6 | 52 58.8 13.0 S15 40.5 10.3 55.4 | Altair 53 50.9 N10 43.2
14 | 31 02.6 S23 19.6 | 67 30.7 12.9 S15 50.7 10.2 55.4 | Ankaa 344 53.0 S38 34.6
15 | 46 02.3 S23 19.7 | 82 02.6 12.9 S16 00.9 10.2 55.4 |
16 | 61 02.0 S23 19.7 | 96 34.5 12.9 S16 10.9 10.1 55.4 | Antares 102 00.9 S27 55.1
17 | 76 01.7 S23 19.8 | 111 06.3 12.8 S16 20.9 10.0 55.4 | Arcturus 138 10.1 N15 36.8
| | | Atria 89 27.0 S70 13.1
18 | 91 01.4 S23 19.8 | 125 38.1 12.8 S16 30.9 9.9 55.3 | Avior 230 46.5 S61 44.1
19 | 106 01.1 S23 19.9 | 140 09.8 12.8 S16 40.7 9.8 55.3 | Bellatrix 269 24.4 N 6 56.0
20 | 121 00.8 S23 19.9 | 154 41.6 12.7 S16 50.4 9.8 55.3 |
21 | 136 00.5 S23 19.9 | 169 13.2 12.7 S17 00.1 9.7 55.3 | Betelgeuse 261 48.7 N 7 29.7
22 | 151 00.2 S23 20.0 | 183 44.9 12.6 S17 09.7 9.6 55.3 | Canopus 260 06.7 S53 05.3
23 | 165 59.9 S23 20.0 | 198 16.5 12.6 S17 19.2 9.5 55.3 | Capella 268 01.0 N46 38.7
------+-------------------+----------------------------------| Castor 235 18.6 N30 20.2
20 0 | 180 59.6 S23 20.1 | 212 48.1 12.6 S17 28.6 9.4 55.2 | Deneb 43 42.7 N47 45.8
1 | 195 59.3 S23 20.1 | 227 19.6 12.5 S17 38.0 9.3 55.2 |
2 | 210 59.0 S23 20.1 | 241 51.1 12.5 S17 47.2 9.3 55.2 | Denebola 173 53.9 N10 43.2
3 | 225 58.7 S23 20.2 | 256 22.6 12.5 S17 56.4 9.2 55.2 | Diphda 340 24.2 S14 13.0
4 | 240 58.4 S23 20.2 | 270 54.0 12.4 S18 05.5 9.1 55.2 | Dubhe 183 28.7 N58 00.9
S 5 | 255 58.1 S23 20.2 | 285 25.4 12.4 S18 14.5 9.0 55.1 | Elnath 267 27.8 N29 08.5
A | | | Eltanin 86 47.5 N51 25.5
T 6 | 270 57.8 S23 20.3 | 299 56.8 12.4 S18 23.4 8.9 55.1 |
U 7 | 285 57.5 S23 20.3 | 314 28.1 12.3 S18 32.2 8.8 55.1 | Enif 25 26.2 N13 03.2
R 8 | 300 57.2 S23 20.3 | 328 59.4 12.3 S18 40.9 8.7 55.1 | Fomalhaut 6 02.4 S25 57.9
D 9 | 315 56.9 S23 20.4 | 343 30.6 12.3 S18 49.5 8.6 55.1 | Gacrux 162 31.4 S60 57.5
A 10 | 330 56.6 S23 20.4 | 358 01.9 12.2 S18 58.1 8.5 55.1 | Gienah 167 06.9 S21 21.6
Y 11 | 345 56.3 S23 20.4 | 12 33.0 12.2 S19 06.5 8.4 55.0 | Hadar 136 43.5 S63 39.9
| | |
12 | 0 56.0 S23 20.5 | 27 04.2 12.1 S19 14.9 8.4 55.0 | Hamal 318 24.3 N26 41.9
13 | 15 55.7 S23 20.5 | 41 35.3 12.1 S19 23.1 8.3 55.0 | Kaus Austr. 72 28.6 S34 00.9
14 | 30 55.4 S23 20.5 | 56 06.3 12.1 S19 31.3 8.2 55.0 | Kochab 137 38.6 N71 20.1
15 | 45 55.1 S23 20.6 | 70 37.4 12.0 S19 39.4 8.1 55.0 | Markab 5 09.8 N18 55.2
16 | 60 54.8 S23 20.6 | 85 08.4 12.0 S19 47.4 8.0 55.0 | Menkar 305 20.9 N 6 45.8
17 | 75 54.5 S23 20.6 | 99 39.3 12.0 S19 55.3 7.9 54.9 |
| | | Menkent 138 05.7 S39 44.0
18 | 90 54.2 S23 20.6 | 114 10.2 11.9 S20 03.0 7.8 54.9 | Miaplacidus 219 46.8 S72 33.3
19 | 105 53.9 S23 20.7 | 128 41.1 11.9 S20 10.7 7.7 54.9 | Mirfak 296 29.5 N52 16.4
20 | 120 53.6 S23 20.7 | 143 12.0 11.9 S20 18.3 7.6 54.9 | Nunki 65 27.6 S25 23.9
21 | 135 53.3 S23 20.7 | 157 42.8 11.8 S20 25.8 7.5 54.9 | Peacock 39 59.5 S54 29.2
22 | 150 53.0 S23 20.7 | 172 13.6 11.8 S20 33.2 7.4 54.9 |
23 | 165 52.7 S23 20.7 | 186 44.3 11.7 S20 40.5 7.3 54.9 | Polaris 147 58.0 N92 21.1
------+-------------------+----------------------------------| Pollux 233 05.1 N26 19.3
21 0 | 180 52.4 S23 20.8 | 201 15.0 11.7 S20 47.7 7.2 54.8 | Procyon 236 06.1 N 3 25.4
1 | 195 52.1 S23 20.8 | 215 45.7 11.7 S20 54.8 7.1 54.8 | Rasalhague 88 12.8 N12 05.6
2 | 210 51.8 S23 20.8 | 230 16.4 11.6 S21 01.8 7.0 54.8 | Regulus 198 41.1 N 8 35.0
3 | 225 51.5 S23 20.8 | 244 47.0 11.6 S21 08.7 6.9 54.8 |
4 | 240 51.2 S23 20.8 | 259 17.5 11.6 S21 15.4 6.8 54.8 | Rigel 273 01.0 S 7 26.5
S 5 | 255 50.9 S23 20.8 | 273 48.1 11.5 S21 22.1 6.7 54.8 | Rigil Kent 128 15.5 S63 38.6
U | | | Sabik 92 27.9 S16 32.2
N 6 | 270 50.6 S23 20.9 | 288 18.6 11.5 S21 28.7 6.6 54.8 | Schedar 339 57.4 N60 18.6
D 7 | 285 50.3 S23 20.9 | 302 49.1 11.5 S21 35.2 6.5 54.7 | Shaula 84 50.4 S37 33.5
A 8 | 300 50.0 S23 20.9 | 317 19.5 11.4 S21 41.6 6.4 54.7 |
Y 9 | 315 49.7 S23 20.9 | 331 49.9 11.4 S21 47.8 6.3 54.7 | Sirius 251 03.6 S17 41.6
10 | 330 49.4 S23 20.9 | 346 20.3 11.4 S21 54.0 6.2 54.7 | Spica 149 33.2 S14 44.4
11 | 345 49.1 S23 20.9 | 0 50.6 11.3 S22 00.0 6.1 54.7 | Suhail 216 35.4 S46 13.7
| | | Vega 74 52.7 N39 27.0
12 | 0 48.8 S23 20.9 | 15 21.0 11.3 S22 06.0 5.9 54.7 | Zuben-ubi 127 57.8 S18 52.5
13 | 15 48.5 S23 20.9 | 29 51.3 11.3 S22 11.8 5.8 54.7 |
14 | 30 48.2 S23 20.9 | 44 21.5 11.3 S22 17.5 5.7 54.6 |
15 | 45 47.9 S23 21.0 | 58 51.7 11.2 S22 23.2 5.6 54.6 |
16 | 60 47.6 S23 21.0 | 73 21.9 11.2 S22 28.7 5.5 54.6 |
17 | 75 47.3 S23 21.0 | 87 52.1 11.2 S22 34.1 5.4 54.6 |
| | |
18 | 90 47.0 S23 21.0 | 102 22.3 11.1 S22 39.4 5.3 54.6 |
19 | 105 46.7 S23 21.0 | 116 52.4 11.1 S22 44.5 5.2 54.6 |
20 | 120 46.4 S23 21.0 | 131 22.5 11.1 S22 49.6 5.1 54.6 |
21 | 135 46.0 S23 21.0 | 145 52.5 11.1 S22 54.6 5.0 54.6 |
22 | 150 45.7 S23 21.0 | 160 22.6 11.0 S22 59.4 4.8 54.5 |
23 | 165 45.4 S23 21.0 | 174 52.6 11.0 S23 04.1 4.7 54.5 |
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|S.D. 16.2 d 0.0 | S.D. 15.1 15.0 14.9 |
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