
2086 DEC. 20, 21, 22 (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 | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
20 0 | 89 03.6 | 159 43.6 S23 33.2 | 349 29.5 N26 25.4 | 279 06.3 N 5 33.8 | 66 29.0 N 6 38.7
1 | 104 06.1 | 174 42.7 S23 32.8 | 4 33.0 N26 25.6 | 294 08.6 N 5 33.7 | 81 31.5 N 6 38.7
2 | 119 08.6 | 189 41.8 S23 32.5 | 19 36.6 N26 25.7 | 309 11.0 N 5 33.7 | 96 34.0 N 6 38.7
3 | 134 11.0 | 204 40.9 S23 32.1 | 34 40.1 N26 25.9 | 324 13.3 N 5 33.7 | 111 36.5 N 6 38.7
4 | 149 13.5 | 219 39.9 S23 31.8 | 49 43.6 N26 26.0 | 339 15.7 N 5 33.6 | 126 39.0 N 6 38.7
F 5 | 164 16.0 | 234 39.0 S23 31.4 | 64 47.1 N26 26.2 | 354 18.0 N 5 33.6 | 141 41.5 N 6 38.7
R
I 6 | 179 18.4 | 249 38.1 S23 31.1 | 79 50.7 N26 26.3 | 9 20.4 N 5 33.6 | 156 44.0 N 6 38.7
D 7 | 194 20.9 | 264 37.2 S23 30.7 | 94 54.2 N26 26.5 | 24 22.8 N 5 33.5 | 171 46.5 N 6 38.7
A 8 | 209 23.3 | 279 36.2 S23 30.4 | 109 57.7 N26 26.6 | 39 25.1 N 5 33.5 | 186 48.9 N 6 38.7
Y 9 | 224 25.8 | 294 35.3 S23 30.0 | 125 01.3 N26 26.8 | 54 27.5 N 5 33.5 | 201 51.4 N 6 38.7
10 | 239 28.3 | 309 34.4 S23 29.7 | 140 04.8 N26 26.9 | 69 29.8 N 5 33.4 | 216 53.9 N 6 38.7
11 | 254 30.7 | 324 33.5 S23 29.3 | 155 08.3 N26 27.1 | 84 32.2 N 5 33.4 | 231 56.4 N 6 38.7
12 | 269 33.2 | 339 32.5 S23 28.9 | 170 11.9 N26 27.2 | 99 34.6 N 5 33.4 | 246 58.9 N 6 38.7
13 | 284 35.7 | 354 31.6 S23 28.6 | 185 15.4 N26 27.4 | 114 36.9 N 5 33.3 | 262 01.4 N 6 38.7
14 | 299 38.1 | 9 30.7 S23 28.2 | 200 18.9 N26 27.5 | 129 39.3 N 5 33.3 | 277 03.9 N 6 38.7
15 | 314 40.6 | 24 29.8 S23 27.8 | 215 22.5 N26 27.7 | 144 41.6 N 5 33.3 | 292 06.4 N 6 38.7
16 | 329 43.1 | 39 28.9 S23 27.5 | 230 26.0 N26 27.8 | 159 44.0 N 5 33.3 | 307 08.9 N 6 38.7
17 | 344 45.5 | 54 27.9 S23 27.1 | 245 29.5 N26 28.0 | 174 46.4 N 5 33.2 | 322 11.4 N 6 38.7
18 | 359 48.0 | 69 27.0 S23 26.7 | 260 33.1 N26 28.1 | 189 48.7 N 5 33.2 | 337 13.9 N 6 38.7
19 | 14 50.5 | 84 26.1 S23 26.4 | 275 36.6 N26 28.2 | 204 51.1 N 5 33.2 | 352 16.3 N 6 38.7
20 | 29 52.9 | 99 25.2 S23 26.0 | 290 40.2 N26 28.4 | 219 53.4 N 5 33.1 | 7 18.8 N 6 38.7
21 | 44 55.4 | 114 24.3 S23 25.6 | 305 43.7 N26 28.5 | 234 55.8 N 5 33.1 | 22 21.3 N 6 38.7
22 | 59 57.8 | 129 23.3 S23 25.3 | 320 47.2 N26 28.7 | 249 58.2 N 5 33.1 | 37 23.8 N 6 38.7
23 | 75 00.3 | 144 22.4 S23 24.9 | 335 50.8 N26 28.8 | 265 00.5 N 5 33.0 | 52 26.3 N 6 38.7
------+----------+-------------------+-------------------+-------------------+--------------------
21 0 | 90 02.8 | 159 21.5 S23 24.5 | 350 54.3 N26 29.0 | 280 02.9 N 5 33.0 | 67 28.8 N 6 38.7
1 | 105 05.2 | 174 20.6 S23 24.1 | 5 57.8 N26 29.1 | 295 05.3 N 5 33.0 | 82 31.3 N 6 38.7
2 | 120 07.7 | 189 19.7 S23 23.8 | 21 01.4 N26 29.3 | 310 07.6 N 5 32.9 | 97 33.8 N 6 38.7
3 | 135 10.2 | 204 18.8 S23 23.4 | 36 04.9 N26 29.4 | 325 10.0 N 5 32.9 | 112 36.3 N 6 38.7
4 | 150 12.6 | 219 17.8 S23 23.0 | 51 08.5 N26 29.6 | 340 12.3 N 5 32.9 | 127 38.7 N 6 38.7
S 5 | 165 15.1 | 234 16.9 S23 22.6 | 66 12.0 N26 29.7 | 355 14.7 N 5 32.9 | 142 41.2 N 6 38.7
A
T 6 | 180 17.6 | 249 16.0 S23 22.2 | 81 15.6 N26 29.8 | 10 17.1 N 5 32.8 | 157 43.7 N 6 38.7
U 7 | 195 20.0 | 264 15.1 S23 21.9 | 96 19.1 N26 30.0 | 25 19.4 N 5 32.8 | 172 46.2 N 6 38.7
R 8 | 210 22.5 | 279 14.2 S23 21.5 | 111 22.6 N26 30.1 | 40 21.8 N 5 32.8 | 187 48.7 N 6 38.7
D 9 | 225 25.0 | 294 13.3 S23 21.1 | 126 26.2 N26 30.3 | 55 24.2 N 5 32.7 | 202 51.2 N 6 38.7
A 10 | 240 27.4 | 309 12.4 S23 20.7 | 141 29.7 N26 30.4 | 70 26.5 N 5 32.7 | 217 53.7 N 6 38.7
Y 11 | 255 29.9 | 324 11.4 S23 20.3 | 156 33.3 N26 30.6 | 85 28.9 N 5 32.7 | 232 56.1 N 6 38.7
12 | 270 32.3 | 339 10.5 S23 19.9 | 171 36.8 N26 30.7 | 100 31.3 N 5 32.6 | 247 58.6 N 6 38.7
13 | 285 34.8 | 354 09.6 S23 19.5 | 186 40.4 N26 30.9 | 115 33.6 N 5 32.6 | 263 01.1 N 6 38.8
14 | 300 37.3 | 9 08.7 S23 19.1 | 201 43.9 N26 31.0 | 130 36.0 N 5 32.6 | 278 03.6 N 6 38.8
15 | 315 39.7 | 24 07.8 S23 18.7 | 216 47.4 N26 31.1 | 145 38.4 N 5 32.6 | 293 06.1 N 6 38.8
16 | 330 42.2 | 39 06.9 S23 18.3 | 231 51.0 N26 31.3 | 160 40.7 N 5 32.5 | 308 08.6 N 6 38.8
17 | 345 44.7 | 54 06.0 S23 17.9 | 246 54.5 N26 31.4 | 175 43.1 N 5 32.5 | 323 11.1 N 6 38.8
18 | 0 47.1 | 69 05.1 S23 17.5 | 261 58.1 N26 31.6 | 190 45.5 N 5 32.5 | 338 13.6 N 6 38.8
19 | 15 49.6 | 84 04.1 S23 17.2 | 277 01.6 N26 31.7 | 205 47.8 N 5 32.5 | 353 16.0 N 6 38.8
20 | 30 52.1 | 99 03.2 S23 16.8 | 292 05.2 N26 31.8 | 220 50.2 N 5 32.4 | 8 18.5 N 6 38.8
21 | 45 54.5 | 114 02.3 S23 16.3 | 307 08.7 N26 32.0 | 235 52.6 N 5 32.4 | 23 21.0 N 6 38.8
22 | 60 57.0 | 129 01.4 S23 15.9 | 322 12.3 N26 32.1 | 250 54.9 N 5 32.4 | 38 23.5 N 6 38.8
23 | 75 59.5 | 144 00.5 S23 15.5 | 337 15.8 N26 32.3 | 265 57.3 N 5 32.3 | 53 26.0 N 6 38.8
------+----------+-------------------+-------------------+-------------------+--------------------
22 0 | 91 01.9 | 158 59.6 S23 15.1 | 352 19.4 N26 32.4 | 280 59.7 N 5 32.3 | 68 28.5 N 6 38.8
1 | 106 04.4 | 173 58.7 S23 14.7 | 7 22.9 N26 32.5 | 296 02.1 N 5 32.3 | 83 30.9 N 6 38.8
2 | 121 06.8 | 188 57.8 S23 14.3 | 22 26.5 N26 32.7 | 311 04.4 N 5 32.3 | 98 33.4 N 6 38.8
3 | 136 09.3 | 203 56.9 S23 13.9 | 37 30.0 N26 32.8 | 326 06.8 N 5 32.2 | 113 35.9 N 6 38.8
4 | 151 11.8 | 218 56.0 S23 13.5 | 52 33.6 N26 33.0 | 341 09.2 N 5 32.2 | 128 38.4 N 6 38.8
S 5 | 166 14.2 | 233 55.1 S23 13.1 | 67 37.1 N26 33.1 | 356 11.5 N 5 32.2 | 143 40.9 N 6 38.8
U
N 6 | 181 16.7 | 248 54.2 S23 12.7 | 82 40.7 N26 33.2 | 11 13.9 N 5 32.1 | 158 43.4 N 6 38.8
D 7 | 196 19.2 | 263 53.2 S23 12.3 | 97 44.2 N26 33.4 | 26 16.3 N 5 32.1 | 173 45.8 N 6 38.8
A 8 | 211 21.6 | 278 52.3 S23 11.9 | 112 47.8 N26 33.5 | 41 18.7 N 5 32.1 | 188 48.3 N 6 38.8
Y 9 | 226 24.1 | 293 51.4 S23 11.4 | 127 51.3 N26 33.7 | 56 21.0 N 5 32.1 | 203 50.8 N 6 38.8
10 | 241 26.6 | 308 50.5 S23 11.0 | 142 54.9 N26 33.8 | 71 23.4 N 5 32.0 | 218 53.3 N 6 38.8
11 | 256 29.0 | 323 49.6 S23 10.6 | 157 58.4 N26 33.9 | 86 25.8 N 5 32.0 | 233 55.8 N 6 38.9
12 | 271 31.5 | 338 48.7 S23 10.2 | 173 02.0 N26 34.1 | 101 28.2 N 5 32.0 | 248 58.3 N 6 38.9
13 | 286 34.0 | 353 47.8 S23 09.8 | 188 05.5 N26 34.2 | 116 30.5 N 5 32.0 | 264 00.7 N 6 38.9
14 | 301 36.4 | 8 46.9 S23 09.3 | 203 09.1 N26 34.3 | 131 32.9 N 5 31.9 | 279 03.2 N 6 38.9
15 | 316 38.9 | 23 46.0 S23 08.9 | 218 12.7 N26 34.5 | 146 35.3 N 5 31.9 | 294 05.7 N 6 38.9
16 | 331 41.3 | 38 45.1 S23 08.5 | 233 16.2 N26 34.6 | 161 37.7 N 5 31.9 | 309 08.2 N 6 38.9
17 | 346 43.8 | 53 44.2 S23 08.1 | 248 19.8 N26 34.7 | 176 40.0 N 5 31.9 | 324 10.7 N 6 38.9
18 | 1 46.3 | 68 43.3 S23 07.6 | 263 23.3 N26 34.9 | 191 42.4 N 5 31.8 | 339 13.1 N 6 38.9
19 | 16 48.7 | 83 42.4 S23 07.2 | 278 26.9 N26 35.0 | 206 44.8 N 5 31.8 | 354 15.6 N 6 38.9
20 | 31 51.2 | 98 41.5 S23 06.8 | 293 30.4 N26 35.2 | 221 47.2 N 5 31.8 | 9 18.1 N 6 38.9
21 | 46 53.7 | 113 40.6 S23 06.4 | 308 34.0 N26 35.3 | 236 49.5 N 5 31.8 | 24 20.6 N 6 38.9
22 | 61 56.1 | 128 39.7 S23 05.9 | 323 37.5 N26 35.4 | 251 51.9 N 5 31.7 | 39 23.1 N 6 38.9
23 | 76 58.6 | 143 38.8 S23 05.5 | 338 41.1 N26 35.6 | 266 54.3 N 5 31.7 | 54 25.6 N 6 38.9
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| v -0.9 d 0.4 | v 3.5 d 0.1 | v 2.4 d 0.0 | v 2.5 d 0.0
2086 DEC. 20, 21, 22 (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 | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
20 0 | 180 38.9 S23 25.1 | 5 31.5 5.2 N21 30.7 1.4 59.3 | Acamar 314 36.1 S39 57.7
1 | 195 38.6 S23 25.2 | 19 55.7 5.2 N21 29.1 1.5 59.2 | Achernar 334 45.4 S56 48.0
2 | 210 38.3 S23 25.2 | 34 19.9 5.2 N21 27.4 1.7 59.2 | Acrux 172 07.3 S63 34.6
3 | 225 38.0 S23 25.2 | 48 44.2 5.3 N21 25.6 1.8 59.2 | Adhara 254 28.7 S29 05.7
4 | 240 37.7 S23 25.2 | 63 08.5 5.3 N21 23.6 2.0 59.2 | Albireo 66 26.7 N28 08.9
F 5 | 255 37.4 S23 25.3 | 77 32.9 5.4 N21 21.5 2.1 59.2 |
R | | | Aldebaran 289 45.6 N16 40.7
I 6 | 270 37.1 S23 25.3 | 91 57.3 5.4 N21 19.3 2.3 59.1 | Alioth 165 32.4 N55 29.0
D 7 | 285 36.8 S23 25.3 | 106 21.8 5.5 N21 16.9 2.4 59.1 | Alkaid 152 15.7 N48 52.6
A 8 | 300 36.5 S23 25.3 | 120 46.3 5.5 N21 14.3 2.5 59.1 | Al Na-ir 26 34.7 S46 32.3
Y 9 | 315 36.2 S23 25.3 | 135 10.8 5.6 N21 11.7 2.7 59.1 | Alnilam 274 49.9 S 1 09.1
10 | 330 35.9 S23 25.4 | 149 35.5 5.6 N21 08.9 2.8 59.0 |
11 | 345 35.5 S23 25.4 | 164 00.1 5.7 N21 05.9 2.9 59.0 | Alphard 217 01.5 S 9 02.4
| | | Alphecca 125 24.5 N26 25.4
12 | 0 35.2 S23 25.4 | 178 24.9 5.7 N21 02.8 3.1 59.0 | Alpheratz 356 46.2 N29 34.5
13 | 15 34.9 S23 25.4 | 192 49.7 5.8 N20 59.6 3.2 59.0 | Altair 61 14.7 N 9 06.3
14 | 30 34.6 S23 25.4 | 207 14.5 5.9 N20 56.2 3.4 58.9 | Ankaa 352 21.2 S41 50.2
15 | 45 34.3 S23 25.5 | 221 39.5 5.9 N20 52.7 3.5 58.9 |
16 | 60 34.0 S23 25.5 | 236 04.4 6.0 N20 49.1 3.6 58.9 | Antares 111 18.8 S26 37.1
17 | 75 33.7 S23 25.5 | 250 29.5 6.0 N20 45.4 3.8 58.9 | Arcturus 145 05.5 N18 43.8
| | | Atria 105 31.4 S69 10.6
18 | 90 33.4 S23 25.5 | 264 54.6 6.1 N20 41.5 3.9 58.8 | Avior 233 54.8 S59 47.4
19 | 105 33.1 S23 25.5 | 279 19.8 6.2 N20 37.5 4.0 58.8 | Bellatrix 277 32.4 N 6 25.3
20 | 120 32.8 S23 25.5 | 293 45.0 6.2 N20 33.3 4.1 58.8 |
21 | 135 32.5 S23 25.5 | 308 10.3 6.3 N20 29.0 4.3 58.8 | Betelgeuse 270 01.1 N 7 25.0
22 | 150 32.2 S23 25.5 | 322 35.7 6.4 N20 24.6 4.4 58.7 | Canopus 263 31.0 S52 44.8
23 | 165 31.8 S23 25.6 | 337 01.2 6.5 N20 20.1 4.5 58.7 | Capella 279 12.2 N46 04.8
------+-------------------+----------------------------------| Castor 244 57.2 N31 41.4
21 0 | 180 31.5 S23 25.6 | 351 26.7 6.5 N20 15.5 4.7 58.7 | Deneb 48 54.1 N45 35.9
1 | 195 31.2 S23 25.6 | 5 52.3 6.6 N20 10.7 4.8 58.6 |
2 | 210 30.9 S23 25.6 | 20 18.0 6.7 N20 05.8 4.9 58.6 | Denebola 181 37.3 N14 05.0
3 | 225 30.6 S23 25.6 | 34 43.7 6.7 N20 00.8 5.0 58.6 | Diphda 348 00.4 S17 30.6
4 | 240 30.3 S23 25.6 | 49 09.5 6.8 N19 55.6 5.1 58.6 | Dubhe 192 44.0 N61 16.4
S 5 | 255 30.0 S23 25.6 | 63 35.4 6.9 N19 50.4 5.3 58.5 | Elnath 277 02.4 N28 40.4
A | | | Eltanin 90 21.0 N51 28.9
T 6 | 270 29.7 S23 25.6 | 78 01.4 7.0 N19 45.0 5.4 58.5 |
U 7 | 285 29.4 S23 25.6 | 92 27.5 7.1 N19 39.5 5.5 58.5 | Enif 32 53.0 N10 16.8
R 8 | 300 29.1 S23 25.6 | 106 53.6 7.1 N19 33.9 5.6 58.4 | Fomalhaut 14 23.2 S29 09.7
D 9 | 315 28.8 S23 25.6 | 121 19.8 7.2 N19 28.2 5.7 58.4 | Gacrux 170 59.2 S57 35.8
A 10 | 330 28.4 S23 25.6 | 135 46.1 7.3 N19 22.3 5.8 58.4 | Gienah 174 55.4 S18 01.4
Y 11 | 345 28.1 S23 25.6 | 150 12.5 7.4 N19 16.4 6.0 58.4 | Hadar 147 29.6 S60 47.1
| | |
12 | 0 27.8 S23 25.6 | 164 39.0 7.5 N19 10.3 6.1 58.3 | Hamal 326 58.1 N23 52.4
13 | 15 27.5 S23 25.6 | 179 05.5 7.5 N19 04.1 6.2 58.3 | Kaus Austr. 82 31.0 S34 20.2
14 | 30 27.2 S23 25.6 | 193 32.1 7.6 N18 57.8 6.3 58.3 | Kochab 137 23.2 N73 47.7
15 | 45 26.9 S23 25.6 | 207 58.9 7.7 N18 51.5 6.4 58.2 | Markab 12 43.3 N15 40.6
16 | 60 26.6 S23 25.6 | 222 25.7 7.8 N18 45.0 6.5 58.2 | Menkar 313 16.9 N 4 25.7
17 | 75 26.3 S23 25.6 | 236 52.5 7.9 N18 38.4 6.6 58.2 |
| | | Menkent 147 02.5 S36 47.6
18 | 90 26.0 S23 25.6 | 251 19.5 8.0 N18 31.7 6.7 58.1 | Miaplacidus 221 27.1 S70 04.4
19 | 105 25.7 S23 25.6 | 265 46.6 8.1 N18 24.9 6.8 58.1 | Mirfak 307 20.7 N50 10.1
20 | 120 25.4 S23 25.6 | 280 13.7 8.1 N18 17.9 6.9 58.1 | Nunki 74 50.3 S26 10.9
21 | 135 25.1 S23 25.6 | 294 40.9 8.2 N18 10.9 7.0 58.0 | Peacock 51 52.9 S56 27.1
22 | 150 24.7 S23 25.6 | 309 08.3 8.3 N18 03.8 7.1 58.0 |
23 | 165 24.4 S23 25.5 | 323 35.7 8.4 N17 56.6 7.2 58.0 | Polaris 300 13.2 N89 38.5
------+-------------------+----------------------------------| Pollux 242 19.9 N27 48.5
22 0 | 180 24.1 S23 25.5 | 338 03.2 8.5 N17 49.3 7.3 57.9 | Procyon 244 01.6 N 4 59.7
1 | 195 23.8 S23 25.5 | 352 30.7 8.6 N17 41.9 7.4 57.9 | Rasalhague 95 15.5 N12 30.2
2 | 210 23.5 S23 25.5 | 6 58.4 8.7 N17 34.5 7.5 57.9 | Regulus 206 44.6 N11 32.2
3 | 225 23.2 S23 25.5 | 21 26.2 8.8 N17 26.9 7.6 57.9 |
4 | 240 22.9 S23 25.5 | 35 54.0 8.8 N17 19.2 7.7 57.8 | Rigel 280 18.6 S 8 06.4
S 5 | 255 22.6 S23 25.5 | 50 21.9 8.9 N17 11.4 7.8 57.8 | Rigil Kent 138 36.6 S61 11.2
U | | | Sabik 101 09.5 S15 49.6
N 6 | 270 22.3 S23 25.5 | 64 50.0 9.0 N17 03.6 7.8 57.8 | Schedar 348 37.2 N57 01.1
D 7 | 285 22.0 S23 25.4 | 79 18.1 9.1 N16 55.7 7.9 57.7 | Shaula 95 07.3 S37 09.6
A 8 | 300 21.7 S23 25.4 | 93 46.3 9.2 N16 47.6 8.0 57.7 |
Y 9 | 315 21.3 S23 25.4 | 108 14.6 9.3 N16 39.5 8.1 57.7 | Sirius 257 44.7 S16 50.5
10 | 330 21.0 S23 25.4 | 122 43.0 9.4 N16 31.3 8.2 57.6 | Spica 157 33.1 S11 36.8
11 | 345 20.7 S23 25.4 | 137 11.4 9.5 N16 23.1 8.3 57.6 | Suhail 222 11.4 S43 47.1
| | | Vega 80 02.0 N38 52.2
12 | 0 20.4 S23 25.3 | 151 40.0 9.6 N16 14.7 8.4 57.6 | Zuben-ubi 136 06.8 S16 23.9
13 | 15 20.1 S23 25.3 | 166 08.6 9.6 N16 06.3 8.4 57.5 |
14 | 30 19.8 S23 25.3 | 180 37.4 9.7 N15 57.8 8.5 57.5 |
15 | 45 19.5 S23 25.3 | 195 06.2 9.8 N15 49.2 8.6 57.5 |
16 | 60 19.2 S23 25.3 | 209 35.1 9.9 N15 40.5 8.7 57.4 |
17 | 75 18.9 S23 25.2 | 224 04.1 10.0 N15 31.8 8.7 57.4 |
| | |
18 | 90 18.6 S23 25.2 | 238 33.2 10.1 N15 23.0 8.8 57.4 |
19 | 105 18.3 S23 25.2 | 253 02.4 10.2 N15 14.1 8.9 57.3 |
20 | 120 17.9 S23 25.2 | 267 31.6 10.3 N15 05.2 8.9 57.3 |
21 | 135 17.6 S23 25.1 | 282 01.0 10.4 N14 56.2 9.0 57.3 |
22 | 150 17.3 S23 25.1 | 296 30.4 10.4 N14 47.1 9.1 57.2 |
23 | 165 17.0 S23 25.1 | 310 60.0 10.5 N14 37.9 9.2 57.2 |
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|S.D. 16.3 d 0.0 | S.D. 16.1 15.9 15.7 |
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