
2688 DEC. 20, 21, 22 (THU, FRI, SAT)
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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 | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
20 0 | 89 16.3 | 226 19.9 S13 49.2 | 290 52.9 N12 07.5 | 15 03.6 N21 46.8 | 240 45.7 S 9 09.0
1 | 104 18.7 | 241 19.6 S13 50.0 | 305 54.9 N12 07.4 | 30 06.4 N21 46.7 | 255 48.0 S 9 09.0
2 | 119 21.2 | 256 19.2 S13 50.8 | 320 56.8 N12 07.3 | 45 09.2 N21 46.7 | 270 50.3 S 9 09.1
3 | 134 23.7 | 271 18.8 S13 51.6 | 335 58.8 N12 07.2 | 60 12.0 N21 46.7 | 285 52.5 S 9 09.1
4 | 149 26.1 | 286 18.4 S13 52.5 | 351 00.7 N12 07.1 | 75 14.9 N21 46.7 | 300 54.8 S 9 09.2
T 5 | 164 28.6 | 301 18.0 S13 53.3 | 6 02.7 N12 07.0 | 90 17.7 N21 46.6 | 315 57.1 S 9 09.3
H
U 6 | 179 31.1 | 316 17.6 S13 54.1 | 21 04.6 N12 06.9 | 105 20.5 N21 46.6 | 330 59.3 S 9 09.3
R 7 | 194 33.5 | 331 17.2 S13 54.9 | 36 06.6 N12 06.8 | 120 23.3 N21 46.6 | 346 01.6 S 9 09.4
S 8 | 209 36.0 | 346 16.9 S13 55.7 | 51 08.5 N12 06.7 | 135 26.1 N21 46.6 | 1 03.9 S 9 09.5
D 9 | 224 38.5 | 1 16.5 S13 56.6 | 66 10.5 N12 06.6 | 150 28.9 N21 46.5 | 16 06.1 S 9 09.5
A 10 | 239 40.9 | 16 16.1 S13 57.4 | 81 12.4 N12 06.5 | 165 31.7 N21 46.5 | 31 08.4 S 9 09.6
Y 11 | 254 43.4 | 31 15.7 S13 58.2 | 96 14.4 N12 06.4 | 180 34.5 N21 46.5 | 46 10.7 S 9 09.7
12 | 269 45.8 | 46 15.3 S13 59.0 | 111 16.4 N12 06.3 | 195 37.3 N21 46.4 | 61 12.9 S 9 09.7
13 | 284 48.3 | 61 14.9 S13 59.8 | 126 18.3 N12 06.2 | 210 40.1 N21 46.4 | 76 15.2 S 9 09.8
14 | 299 50.8 | 76 14.5 S14 00.6 | 141 20.3 N12 06.1 | 225 43.0 N21 46.4 | 91 17.5 S 9 09.8
15 | 314 53.2 | 91 14.1 S14 01.5 | 156 22.2 N12 06.0 | 240 45.8 N21 46.4 | 106 19.7 S 9 09.9
16 | 329 55.7 | 106 13.7 S14 02.3 | 171 24.2 N12 05.9 | 255 48.6 N21 46.3 | 121 22.0 S 9 10.0
17 | 344 58.2 | 121 13.3 S14 03.1 | 186 26.2 N12 05.8 | 270 51.4 N21 46.3 | 136 24.3 S 9 10.0
18 | 0 00.6 | 136 12.9 S14 03.9 | 201 28.1 N12 05.7 | 285 54.2 N21 46.3 | 151 26.5 S 9 10.1
19 | 15 03.1 | 151 12.5 S14 04.7 | 216 30.1 N12 05.6 | 300 57.0 N21 46.2 | 166 28.8 S 9 10.2
20 | 30 05.6 | 166 12.2 S14 05.5 | 231 32.1 N12 05.5 | 315 59.8 N21 46.2 | 181 31.1 S 9 10.2
21 | 45 08.0 | 181 11.8 S14 06.3 | 246 34.0 N12 05.4 | 331 02.6 N21 46.2 | 196 33.3 S 9 10.3
22 | 60 10.5 | 196 11.4 S14 07.2 | 261 36.0 N12 05.3 | 346 05.4 N21 46.2 | 211 35.6 S 9 10.3
23 | 75 13.0 | 211 11.0 S14 08.0 | 276 38.0 N12 05.2 | 1 08.2 N21 46.1 | 226 37.9 S 9 10.4
------+----------+-------------------+-------------------+-------------------+--------------------
21 0 | 90 15.4 | 226 10.6 S14 08.8 | 291 39.9 N12 05.1 | 16 11.0 N21 46.1 | 241 40.1 S 9 10.5
1 | 105 17.9 | 241 10.2 S14 09.6 | 306 41.9 N12 05.0 | 31 13.8 N21 46.1 | 256 42.4 S 9 10.5
2 | 120 20.3 | 256 09.8 S14 10.4 | 321 43.9 N12 04.9 | 46 16.6 N21 46.1 | 271 44.7 S 9 10.6
3 | 135 22.8 | 271 09.4 S14 11.2 | 336 45.9 N12 04.8 | 61 19.5 N21 46.0 | 286 46.9 S 9 10.7
4 | 150 25.3 | 286 09.0 S14 12.0 | 351 47.8 N12 04.8 | 76 22.3 N21 46.0 | 301 49.2 S 9 10.7
F 5 | 165 27.7 | 301 08.6 S14 12.8 | 6 49.8 N12 04.7 | 91 25.1 N21 46.0 | 316 51.5 S 9 10.8
R
I 6 | 180 30.2 | 316 08.2 S14 13.6 | 21 51.8 N12 04.6 | 106 27.9 N21 45.9 | 331 53.7 S 9 10.8
D 7 | 195 32.7 | 331 07.8 S14 14.5 | 36 53.8 N12 04.5 | 121 30.7 N21 45.9 | 346 56.0 S 9 10.9
A 8 | 210 35.1 | 346 07.4 S14 15.3 | 51 55.7 N12 04.4 | 136 33.5 N21 45.9 | 1 58.3 S 9 11.0
Y 9 | 225 37.6 | 1 07.0 S14 16.1 | 66 57.7 N12 04.3 | 151 36.3 N21 45.9 | 17 00.5 S 9 11.0
10 | 240 40.1 | 16 06.6 S14 16.9 | 81 59.7 N12 04.2 | 166 39.1 N21 45.8 | 32 02.8 S 9 11.1
11 | 255 42.5 | 31 06.2 S14 17.7 | 97 01.7 N12 04.1 | 181 41.9 N21 45.8 | 47 05.1 S 9 11.2
12 | 270 45.0 | 46 05.8 S14 18.5 | 112 03.7 N12 04.0 | 196 44.7 N21 45.8 | 62 07.4 S 9 11.2
13 | 285 47.4 | 61 05.4 S14 19.3 | 127 05.7 N12 03.9 | 211 47.5 N21 45.8 | 77 09.6 S 9 11.3
14 | 300 49.9 | 76 05.0 S14 20.1 | 142 07.6 N12 03.8 | 226 50.3 N21 45.7 | 92 11.9 S 9 11.3
15 | 315 52.4 | 91 04.6 S14 20.9 | 157 09.6 N12 03.8 | 241 53.1 N21 45.7 | 107 14.2 S 9 11.4
16 | 330 54.8 | 106 04.1 S14 21.7 | 172 11.6 N12 03.7 | 256 55.9 N21 45.7 | 122 16.4 S 9 11.5
17 | 345 57.3 | 121 03.7 S14 22.5 | 187 13.6 N12 03.6 | 271 58.7 N21 45.6 | 137 18.7 S 9 11.5
18 | 0 59.8 | 136 03.3 S14 23.3 | 202 15.6 N12 03.5 | 287 01.5 N21 45.6 | 152 21.0 S 9 11.6
19 | 16 02.2 | 151 02.9 S14 24.1 | 217 17.6 N12 03.4 | 302 04.3 N21 45.6 | 167 23.2 S 9 11.6
20 | 31 04.7 | 166 02.5 S14 24.9 | 232 19.6 N12 03.3 | 317 07.2 N21 45.6 | 182 25.5 S 9 11.7
21 | 46 07.2 | 181 02.1 S14 25.8 | 247 21.6 N12 03.2 | 332 10.0 N21 45.5 | 197 27.8 S 9 11.8
22 | 61 09.6 | 196 01.7 S14 26.6 | 262 23.6 N12 03.1 | 347 12.8 N21 45.5 | 212 30.1 S 9 11.8
23 | 76 12.1 | 211 01.3 S14 27.4 | 277 25.5 N12 03.1 | 2 15.6 N21 45.5 | 227 32.3 S 9 11.9
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22 0 | 91 14.6 | 226 00.9 S14 28.2 | 292 27.5 N12 03.0 | 17 18.4 N21 45.4 | 242 34.6 S 9 12.0
1 | 106 17.0 | 241 00.5 S14 29.0 | 307 29.5 N12 02.9 | 32 21.2 N21 45.4 | 257 36.9 S 9 12.0
2 | 121 19.5 | 256 00.1 S14 29.8 | 322 31.5 N12 02.8 | 47 24.0 N21 45.4 | 272 39.1 S 9 12.1
3 | 136 21.9 | 270 59.6 S14 30.6 | 337 33.5 N12 02.7 | 62 26.8 N21 45.4 | 287 41.4 S 9 12.1
4 | 151 24.4 | 285 59.2 S14 31.4 | 352 35.5 N12 02.6 | 77 29.6 N21 45.3 | 302 43.7 S 9 12.2
S 5 | 166 26.9 | 300 58.8 S14 32.2 | 7 37.5 N12 02.5 | 92 32.4 N21 45.3 | 317 46.0 S 9 12.3
A
T 6 | 181 29.3 | 315 58.4 S14 33.0 | 22 39.5 N12 02.5 | 107 35.2 N21 45.3 | 332 48.2 S 9 12.3
U 7 | 196 31.8 | 330 58.0 S14 33.8 | 37 41.5 N12 02.4 | 122 38.0 N21 45.3 | 347 50.5 S 9 12.4
R 8 | 211 34.3 | 345 57.6 S14 34.6 | 52 43.5 N12 02.3 | 137 40.8 N21 45.2 | 2 52.8 S 9 12.4
D 9 | 226 36.7 | 0 57.2 S14 35.4 | 67 45.5 N12 02.2 | 152 43.6 N21 45.2 | 17 55.0 S 9 12.5
A 10 | 241 39.2 | 15 56.7 S14 36.2 | 82 47.5 N12 02.1 | 167 46.4 N21 45.2 | 32 57.3 S 9 12.6
Y 11 | 256 41.7 | 30 56.3 S14 37.0 | 97 49.5 N12 02.1 | 182 49.2 N21 45.1 | 47 59.6 S 9 12.6
12 | 271 44.1 | 45 55.9 S14 37.8 | 112 51.6 N12 02.0 | 197 52.0 N21 45.1 | 63 01.9 S 9 12.7
13 | 286 46.6 | 60 55.5 S14 38.6 | 127 53.6 N12 01.9 | 212 54.8 N21 45.1 | 78 04.1 S 9 12.7
14 | 301 49.1 | 75 55.1 S14 39.4 | 142 55.6 N12 01.8 | 227 57.6 N21 45.1 | 93 06.4 S 9 12.8
15 | 316 51.5 | 90 54.7 S14 40.2 | 157 57.6 N12 01.7 | 243 00.4 N21 45.0 | 108 08.7 S 9 12.9
16 | 331 54.0 | 105 54.2 S14 41.0 | 172 59.6 N12 01.7 | 258 03.2 N21 45.0 | 123 11.0 S 9 12.9
17 | 346 56.4 | 120 53.8 S14 41.7 | 188 01.6 N12 01.6 | 273 06.0 N21 45.0 | 138 13.2 S 9 13.0
18 | 1 58.9 | 135 53.4 S14 42.5 | 203 03.6 N12 01.5 | 288 08.8 N21 45.0 | 153 15.5 S 9 13.0
19 | 17 01.4 | 150 53.0 S14 43.3 | 218 05.6 N12 01.4 | 303 11.6 N21 44.9 | 168 17.8 S 9 13.1
20 | 32 03.8 | 165 52.6 S14 44.1 | 233 07.6 N12 01.3 | 318 14.4 N21 44.9 | 183 20.0 S 9 13.2
21 | 47 06.3 | 180 52.1 S14 44.9 | 248 09.7 N12 01.3 | 333 17.2 N21 44.9 | 198 22.3 S 9 13.2
22 | 62 08.8 | 195 51.7 S14 45.7 | 263 11.7 N12 01.2 | 348 20.0 N21 44.8 | 213 24.6 S 9 13.3
23 | 77 11.2 | 210 51.3 S14 46.5 | 278 13.7 N12 01.1 | 3 22.8 N21 44.8 | 228 26.9 S 9 13.3
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| v -0.4 d 0.8 | v 2.0 d 0.1 | v 2.8 d 0.0 | v 2.3 d 0.1
2688 DEC. 20, 21, 22 (THU, FRI, SAT)
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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 56.0 S23 20.4 | 118 08.2 10.3 S14 31.6 9.0 57.5 | Acamar 308 51.4 S37 34.7
1 | 195 55.7 S23 20.4 | 132 37.5 10.3 S14 22.5 9.1 57.5 | Achernar 329 07.6 S53 46.0
2 | 210 55.4 S23 20.4 | 147 06.8 10.3 S14 13.3 9.2 57.5 | Acrux 163 38.5 S66 53.6
3 | 225 55.1 S23 20.5 | 161 36.1 10.3 S14 04.0 9.3 57.6 | Adhara 248 31.4 S29 56.1
4 | 240 54.8 S23 20.5 | 176 05.5 10.4 S13 54.6 9.4 57.6 | Albireo 60 20.2 N29 25.8
T 5 | 255 54.5 S23 20.5 | 190 34.9 10.4 S13 45.2 9.5 57.6 |
H | | | Aldebaran 281 05.1 N17 50.9
U 6 | 270 54.2 S23 20.5 | 205 04.3 10.4 S13 35.7 9.5 57.6 | Alioth 158 54.9 N52 14.2
R 7 | 285 53.9 S23 20.6 | 219 33.7 10.4 S13 26.1 9.6 57.7 | Alkaid 146 18.2 N45 53.8
S 8 | 300 53.6 S23 20.6 | 234 03.1 10.4 S13 16.4 9.7 57.7 | Al Na-ir 17 07.3 S43 37.2
D 9 | 315 53.3 S23 20.6 | 248 32.6 10.5 S13 06.6 9.8 57.7 | Alnilam 267 09.6 S 0 48.1
A 10 | 330 53.0 S23 20.6 | 263 02.1 10.5 S12 56.8 9.8 57.7 |
Y 11 | 345 52.7 S23 20.7 | 277 31.6 10.5 S12 46.8 9.9 57.8 | Alphard 209 36.0 S11 39.5
| | | Alphecca 118 59.8 N24 25.7
12 | 0 52.4 S23 20.7 | 292 01.1 10.5 S12 36.8 10.0 57.8 | Alpheratz 348 56.3 N32 53.0
13 | 15 52.1 S23 20.7 | 306 30.7 10.5 S12 26.8 10.1 57.8 | Altair 53 52.3 N10 42.9
14 | 30 51.8 S23 20.7 | 321 00.2 10.6 S12 16.6 10.1 57.8 | Ankaa 344 54.5 S38 35.3
15 | 45 51.5 S23 20.7 | 335 29.8 10.6 S12 06.4 10.2 57.8 |
16 | 60 51.2 S23 20.7 | 349 59.4 10.6 S11 56.1 10.3 57.9 | Antares 102 02.7 S27 54.7
17 | 75 50.9 S23 20.8 | 4 29.0 10.6 S11 45.8 10.4 57.9 | Arcturus 138 11.5 N15 37.4
| | | Atria 89 30.1 S70 12.8
18 | 90 50.6 S23 20.8 | 18 58.7 10.6 S11 35.4 10.4 57.9 | Avior 230 47.1 S61 43.8
19 | 105 50.3 S23 20.8 | 33 28.3 10.7 S11 24.9 10.5 57.9 | Bellatrix 269 26.0 N 6 55.8
20 | 120 50.0 S23 20.8 | 47 58.0 10.7 S11 14.3 10.6 58.0 |
21 | 135 49.7 S23 20.8 | 62 27.7 10.7 S11 03.7 10.6 58.0 | Betelgeuse 261 50.3 N 7 29.6
22 | 150 49.4 S23 20.8 | 76 57.4 10.7 S10 53.0 10.7 58.0 | Canopus 260 07.3 S53 05.4
23 | 165 49.1 S23 20.8 | 91 27.1 10.7 S10 42.2 10.8 58.0 | Capella 268 03.1 N46 38.5
------+-------------------+----------------------------------| Castor 235 20.5 N30 20.4
21 0 | 180 48.8 S23 20.9 | 105 56.8 10.7 S10 31.4 10.8 58.0 | Deneb 43 43.7 N47 45.4
1 | 195 48.5 S23 20.9 | 120 26.6 10.7 S10 20.5 10.9 58.1 |
2 | 210 48.2 S23 20.9 | 134 56.3 10.8 S10 09.5 11.0 58.1 | Denebola 173 55.5 N10 43.8
3 | 225 47.9 S23 20.9 | 149 26.1 10.8 S 9 58.5 11.0 58.1 | Diphda 340 25.7 S14 13.6
4 | 240 47.6 S23 20.9 | 163 55.9 10.8 S 9 47.4 11.1 58.1 | Dubhe 183 30.7 N58 01.5
F 5 | 255 47.3 S23 20.9 | 178 25.7 10.8 S 9 36.3 11.1 58.2 | Elnath 267 29.7 N29 08.3
R | | | Eltanin 86 48.2 N51 25.6
I 6 | 270 47.0 S23 20.9 | 192 55.5 10.8 S 9 25.1 11.2 58.2 |
D 7 | 285 46.7 S23 20.9 | 207 25.3 10.8 S 9 13.8 11.3 58.2 | Enif 25 27.7 N13 02.7
A 8 | 300 46.4 S23 20.9 | 221 55.1 10.8 S 9 02.5 11.3 58.2 | Fomalhaut 6 04.1 S25 58.5
Y 9 | 315 46.1 S23 20.9 | 236 25.0 10.8 S 8 51.1 11.4 58.3 | Gacrux 162 32.8 S60 56.8
10 | 330 45.8 S23 20.9 | 250 54.8 10.8 S 8 39.7 11.4 58.3 | Gienah 167 08.3 S21 21.0
11 | 345 45.5 S23 20.9 | 265 24.7 10.9 S 8 28.2 11.5 58.3 | Hadar 136 45.5 S63 39.3
| | |
12 | 0 45.2 S23 20.9 | 279 54.5 10.9 S 8 16.7 11.5 58.3 | Hamal 318 26.0 N26 41.3
13 | 15 44.9 S23 20.9 | 294 24.4 10.9 S 8 05.1 11.6 58.3 | Kaus Austr. 72 30.6 S34 00.8
14 | 30 44.6 S23 20.9 | 308 54.3 10.9 S 7 53.5 11.6 58.4 | Kochab 137 38.7 N71 20.6
15 | 45 44.3 S23 20.9 | 323 24.2 10.9 S 7 41.8 11.7 58.4 | Markab 5 11.2 N18 54.6
16 | 60 44.0 S23 20.9 | 337 54.1 10.9 S 7 30.0 11.7 58.4 | Menkar 305 22.4 N 6 45.2
17 | 75 43.7 S23 20.9 | 352 24.0 10.9 S 7 18.3 11.8 58.4 |
| | | Menkent 138 07.4 S39 43.4
18 | 90 43.4 S23 20.9 | 6 53.9 10.9 S 7 06.4 11.8 58.5 | Miaplacidus 219 46.9 S72 32.9
19 | 105 43.1 S23 20.9 | 21 23.8 10.9 S 6 54.5 11.9 58.5 | Mirfak 296 31.5 N52 15.9
20 | 120 42.8 S23 20.9 | 35 53.7 10.9 S 6 42.6 11.9 58.5 | Nunki 65 29.5 S25 24.0
21 | 135 42.5 S23 20.9 | 50 23.6 10.9 S 6 30.6 12.0 58.5 | Peacock 40 01.9 S54 29.5
22 | 150 42.1 S23 20.9 | 64 53.5 10.9 S 6 18.6 12.0 58.5 |
23 | 165 41.8 S23 20.9 | 79 23.4 10.9 S 6 06.6 12.1 58.6 | Polaris 148 22.2 N92 20.5
------+-------------------+----------------------------------| Pollux 233 06.9 N26 19.5
22 0 | 180 41.5 S23 20.9 | 93 53.3 10.9 S 5 54.5 12.1 58.6 | Procyon 236 07.6 N 3 25.6
1 | 195 41.2 S23 20.8 | 108 23.2 10.9 S 5 42.3 12.1 58.6 | Rasalhague 88 14.2 N12 05.8
2 | 210 40.9 S23 20.8 | 122 53.1 10.9 S 5 30.1 12.2 58.6 | Regulus 198 42.7 N 8 35.5
3 | 225 40.6 S23 20.8 | 137 23.0 10.9 S 5 17.9 12.2 58.7 |
4 | 240 40.3 S23 20.8 | 151 52.9 10.9 S 5 05.7 12.3 58.7 | Rigel 273 02.4 S 7 26.7
S 5 | 255 40.0 S23 20.8 | 166 22.8 10.9 S 4 53.4 12.3 58.7 | Rigil Kent 128 17.3 S63 38.1
A | | | Sabik 92 29.6 S16 32.0
T 6 | 270 39.7 S23 20.8 | 180 52.7 10.9 S 4 41.0 12.3 58.7 | Schedar 339 59.0 N60 18.0
U 7 | 285 39.4 S23 20.8 | 195 22.6 10.9 S 4 28.7 12.4 58.7 | Shaula 84 52.4 S37 33.3
R 8 | 300 39.1 S23 20.8 | 209 52.5 10.9 S 4 16.3 12.4 58.8 |
D 9 | 315 38.8 S23 20.7 | 224 22.4 10.9 S 4 03.8 12.4 58.8 | Sirius 251 04.9 S17 41.5
A 10 | 330 38.5 S23 20.7 | 238 52.3 10.9 S 3 51.4 12.5 58.8 | Spica 149 34.7 S14 43.7
Y 11 | 345 38.2 S23 20.7 | 253 22.1 10.9 S 3 38.9 12.5 58.8 | Suhail 216 36.4 S46 13.3
| | | Vega 74 53.7 N39 27.0
12 | 0 37.9 S23 20.7 | 267 52.0 10.9 S 3 26.4 12.5 58.9 | Zuben-ubi 127 59.3 S18 51.9
13 | 15 37.6 S23 20.7 | 282 21.8 10.8 S 3 13.8 12.5 58.9 |
14 | 30 37.3 S23 20.6 | 296 51.6 10.8 S 3 01.2 12.6 58.9 |
15 | 45 37.0 S23 20.6 | 311 21.5 10.8 S 2 48.6 12.6 58.9 |
16 | 60 36.7 S23 20.6 | 325 51.3 10.8 S 2 36.0 12.6 58.9 |
17 | 75 36.4 S23 20.6 | 340 21.1 10.8 S 2 23.4 12.6 59.0 |
| | |
18 | 90 36.1 S23 20.6 | 354 50.8 10.8 S 2 10.7 12.7 59.0 |
19 | 105 35.8 S23 20.5 | 9 20.6 10.8 S 1 58.0 12.7 59.0 |
20 | 120 35.5 S23 20.5 | 23 50.4 10.7 S 1 45.3 12.7 59.0 |
21 | 135 35.2 S23 20.5 | 38 20.1 10.7 S 1 32.6 12.7 59.1 |
22 | 150 34.9 S23 20.4 | 52 49.8 10.7 S 1 19.8 12.7 59.1 |
23 | 165 34.6 S23 20.4 | 67 19.5 10.7 S 1 07.1 12.8 59.1 |
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|S.D. 16.2 d 0.0 | S.D. 15.7 15.9 16.0 |
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