
3096 DEC. 19, 20, 21 (SAT, SUN, MON)
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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 | 88 30.0 | 200 06.0 S20 47.5 | 326 14.9 N23 09.2 | 224 01.7 S15 41.7 | 284 36.8 N 8 18.0
1 | 103 32.5 | 215 05.2 S20 48.0 | 341 18.0 N23 09.4 | 239 03.7 S15 41.8 | 299 39.3 N 8 18.0
2 | 118 34.9 | 230 04.3 S20 48.5 | 356 21.0 N23 09.7 | 254 05.7 S15 41.9 | 314 41.7 N 8 18.0
3 | 133 37.4 | 245 03.5 S20 49.1 | 11 24.0 N23 09.9 | 269 07.7 S15 42.1 | 329 44.2 N 8 18.0
4 | 148 39.9 | 260 02.7 S20 49.6 | 26 27.1 N23 10.2 | 284 09.7 S15 42.2 | 344 46.6 N 8 18.0
S 5 | 163 42.3 | 275 01.8 S20 50.2 | 41 30.1 N23 10.4 | 299 11.7 S15 42.3 | 359 49.1 N 8 18.0
A
T 6 | 178 44.8 | 290 01.0 S20 50.7 | 56 33.2 N23 10.6 | 314 13.7 S15 42.5 | 14 51.5 N 8 18.0
U 7 | 193 47.3 | 305 00.1 S20 51.2 | 71 36.2 N23 10.9 | 329 15.7 S15 42.6 | 29 54.0 N 8 18.0
R 8 | 208 49.7 | 319 59.3 S20 51.8 | 86 39.3 N23 11.1 | 344 17.7 S15 42.7 | 44 56.4 N 8 18.0
D 9 | 223 52.2 | 334 58.5 S20 52.3 | 101 42.3 N23 11.4 | 359 19.7 S15 42.8 | 59 58.8 N 8 18.0
A 10 | 238 54.7 | 349 57.6 S20 52.8 | 116 45.4 N23 11.6 | 14 21.7 S15 43.0 | 75 01.3 N 8 18.0
Y 11 | 253 57.1 | 4 56.8 S20 53.4 | 131 48.4 N23 11.8 | 29 23.7 S15 43.1 | 90 03.7 N 8 18.0
12 | 268 59.6 | 19 55.9 S20 53.9 | 146 51.5 N23 12.1 | 44 25.7 S15 43.2 | 105 06.2 N 8 18.0
13 | 284 02.0 | 34 55.1 S20 54.4 | 161 54.5 N23 12.3 | 59 27.7 S15 43.4 | 120 08.6 N 8 18.0
14 | 299 04.5 | 49 54.3 S20 54.9 | 176 57.6 N23 12.6 | 74 29.6 S15 43.5 | 135 11.1 N 8 18.0
15 | 314 07.0 | 64 53.4 S20 55.5 | 192 00.6 N23 12.8 | 89 31.6 S15 43.6 | 150 13.5 N 8 18.0
16 | 329 09.4 | 79 52.6 S20 56.0 | 207 03.7 N23 13.1 | 104 33.6 S15 43.7 | 165 16.0 N 8 18.0
17 | 344 11.9 | 94 51.7 S20 56.5 | 222 06.8 N23 13.3 | 119 35.6 S15 43.9 | 180 18.4 N 8 18.0
18 | 359 14.4 | 109 50.9 S20 57.0 | 237 09.8 N23 13.5 | 134 37.6 S15 44.0 | 195 20.9 N 8 18.0
19 | 14 16.8 | 124 50.0 S20 57.6 | 252 12.9 N23 13.8 | 149 39.6 S15 44.1 | 210 23.3 N 8 18.0
20 | 29 19.3 | 139 49.2 S20 58.1 | 267 16.0 N23 14.0 | 164 41.6 S15 44.2 | 225 25.8 N 8 18.0
21 | 44 21.8 | 154 48.4 S20 58.6 | 282 19.0 N23 14.3 | 179 43.6 S15 44.4 | 240 28.2 N 8 18.0
22 | 59 24.2 | 169 47.5 S20 59.1 | 297 22.1 N23 14.5 | 194 45.6 S15 44.5 | 255 30.7 N 8 18.0
23 | 74 26.7 | 184 46.7 S20 59.6 | 312 25.2 N23 14.8 | 209 47.6 S15 44.6 | 270 33.1 N 8 18.1
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20 0 | 89 29.2 | 199 45.8 S21 00.1 | 327 28.2 N23 15.0 | 224 49.6 S15 44.8 | 285 35.6 N 8 18.1
1 | 104 31.6 | 214 45.0 S21 00.7 | 342 31.3 N23 15.3 | 239 51.6 S15 44.9 | 300 38.0 N 8 18.1
2 | 119 34.1 | 229 44.1 S21 01.2 | 357 34.4 N23 15.5 | 254 53.6 S15 45.0 | 315 40.5 N 8 18.1
3 | 134 36.5 | 244 43.3 S21 01.7 | 12 37.5 N23 15.7 | 269 55.6 S15 45.1 | 330 42.9 N 8 18.1
4 | 149 39.0 | 259 42.4 S21 02.2 | 27 40.5 N23 16.0 | 284 57.6 S15 45.3 | 345 45.4 N 8 18.1
S 5 | 164 41.5 | 274 41.6 S21 02.7 | 42 43.6 N23 16.2 | 299 59.6 S15 45.4 | 0 47.8 N 8 18.1
U
N 6 | 179 43.9 | 289 40.7 S21 03.2 | 57 46.7 N23 16.5 | 315 01.6 S15 45.5 | 15 50.3 N 8 18.1
D 7 | 194 46.4 | 304 39.9 S21 03.7 | 72 49.8 N23 16.7 | 330 03.6 S15 45.7 | 30 52.7 N 8 18.1
A 8 | 209 48.9 | 319 39.1 S21 04.2 | 87 52.8 N23 17.0 | 345 05.6 S15 45.8 | 45 55.2 N 8 18.1
Y 9 | 224 51.3 | 334 38.2 S21 04.7 | 102 55.9 N23 17.2 | 0 07.6 S15 45.9 | 60 57.6 N 8 18.1
10 | 239 53.8 | 349 37.4 S21 05.2 | 117 59.0 N23 17.5 | 15 09.6 S15 46.0 | 76 00.1 N 8 18.1
11 | 254 56.3 | 4 36.5 S21 05.7 | 133 02.1 N23 17.7 | 30 11.6 S15 46.2 | 91 02.6 N 8 18.1
12 | 269 58.7 | 19 35.7 S21 06.3 | 148 05.2 N23 18.0 | 45 13.6 S15 46.3 | 106 05.0 N 8 18.1
13 | 285 01.2 | 34 34.8 S21 06.8 | 163 08.3 N23 18.2 | 60 15.6 S15 46.4 | 121 07.5 N 8 18.1
14 | 300 03.6 | 49 34.0 S21 07.3 | 178 11.4 N23 18.5 | 75 17.6 S15 46.5 | 136 09.9 N 8 18.1
15 | 315 06.1 | 64 33.1 S21 07.8 | 193 14.5 N23 18.7 | 90 19.6 S15 46.7 | 151 12.4 N 8 18.1
16 | 330 08.6 | 79 32.3 S21 08.3 | 208 17.6 N23 18.9 | 105 21.6 S15 46.8 | 166 14.8 N 8 18.1
17 | 345 11.0 | 94 31.4 S21 08.8 | 223 20.7 N23 19.2 | 120 23.6 S15 46.9 | 181 17.3 N 8 18.1
18 | 0 13.5 | 109 30.5 S21 09.2 | 238 23.8 N23 19.4 | 135 25.6 S15 47.1 | 196 19.7 N 8 18.2
19 | 15 16.0 | 124 29.7 S21 09.7 | 253 26.9 N23 19.7 | 150 27.6 S15 47.2 | 211 22.2 N 8 18.2
20 | 30 18.4 | 139 28.8 S21 10.2 | 268 30.0 N23 19.9 | 165 29.6 S15 47.3 | 226 24.6 N 8 18.2
21 | 45 20.9 | 154 28.0 S21 10.7 | 283 33.1 N23 20.2 | 180 31.6 S15 47.4 | 241 27.1 N 8 18.2
22 | 60 23.4 | 169 27.1 S21 11.2 | 298 36.2 N23 20.4 | 195 33.6 S15 47.6 | 256 29.5 N 8 18.2
23 | 75 25.8 | 184 26.3 S21 11.7 | 313 39.3 N23 20.7 | 210 35.6 S15 47.7 | 271 32.0 N 8 18.2
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21 0 | 90 28.3 | 199 25.4 S21 12.2 | 328 42.4 N23 20.9 | 225 37.6 S15 47.8 | 286 34.5 N 8 18.2
1 | 105 30.8 | 214 24.6 S21 12.7 | 343 45.5 N23 21.2 | 240 39.6 S15 47.9 | 301 36.9 N 8 18.2
2 | 120 33.2 | 229 23.7 S21 13.2 | 358 48.6 N23 21.4 | 255 41.6 S15 48.1 | 316 39.4 N 8 18.2
3 | 135 35.7 | 244 22.9 S21 13.7 | 13 51.7 N23 21.7 | 270 43.6 S15 48.2 | 331 41.8 N 8 18.2
4 | 150 38.1 | 259 22.0 S21 14.2 | 28 54.8 N23 21.9 | 285 45.6 S15 48.3 | 346 44.3 N 8 18.2
M 5 | 165 40.6 | 274 21.1 S21 14.6 | 43 57.9 N23 22.2 | 300 47.6 S15 48.4 | 1 46.7 N 8 18.2
O
N 6 | 180 43.1 | 289 20.3 S21 15.1 | 59 01.0 N23 22.4 | 315 49.6 S15 48.6 | 16 49.2 N 8 18.2
D 7 | 195 45.5 | 304 19.4 S21 15.6 | 74 04.2 N23 22.7 | 330 51.6 S15 48.7 | 31 51.6 N 8 18.2
A 8 | 210 48.0 | 319 18.6 S21 16.1 | 89 07.3 N23 22.9 | 345 53.6 S15 48.8 | 46 54.1 N 8 18.2
Y 9 | 225 50.5 | 334 17.7 S21 16.6 | 104 10.4 N23 23.2 | 0 55.6 S15 48.9 | 61 56.6 N 8 18.3
10 | 240 52.9 | 349 16.9 S21 17.1 | 119 13.5 N23 23.4 | 15 57.6 S15 49.1 | 76 59.0 N 8 18.3
11 | 255 55.4 | 4 16.0 S21 17.5 | 134 16.6 N23 23.7 | 30 59.6 S15 49.2 | 92 01.5 N 8 18.3
12 | 270 57.9 | 19 15.1 S21 18.0 | 149 19.8 N23 23.9 | 46 01.6 S15 49.3 | 107 03.9 N 8 18.3
13 | 286 00.3 | 34 14.3 S21 18.5 | 164 22.9 N23 24.2 | 61 03.6 S15 49.5 | 122 06.4 N 8 18.3
14 | 301 02.8 | 49 13.4 S21 19.0 | 179 26.0 N23 24.4 | 76 05.6 S15 49.6 | 137 08.8 N 8 18.3
15 | 316 05.3 | 64 12.6 S21 19.4 | 194 29.2 N23 24.7 | 91 07.6 S15 49.7 | 152 11.3 N 8 18.3
16 | 331 07.7 | 79 11.7 S21 19.9 | 209 32.3 N23 24.9 | 106 09.6 S15 49.8 | 167 13.8 N 8 18.3
17 | 346 10.2 | 94 10.8 S21 20.4 | 224 35.4 N23 25.2 | 121 11.7 S15 50.0 | 182 16.2 N 8 18.3
18 | 1 12.6 | 109 10.0 S21 20.9 | 239 38.5 N23 25.4 | 136 13.7 S15 50.1 | 197 18.7 N 8 18.3
19 | 16 15.1 | 124 09.1 S21 21.3 | 254 41.7 N23 25.7 | 151 15.7 S15 50.2 | 212 21.1 N 8 18.3
20 | 31 17.6 | 139 08.2 S21 21.8 | 269 44.8 N23 26.0 | 166 17.7 S15 50.3 | 227 23.6 N 8 18.3
21 | 46 20.0 | 154 07.4 S21 22.3 | 284 48.0 N23 26.2 | 181 19.7 S15 50.5 | 242 26.0 N 8 18.4
22 | 61 22.5 | 169 06.5 S21 22.7 | 299 51.1 N23 26.5 | 196 21.7 S15 50.6 | 257 28.5 N 8 18.4
23 | 76 25.0 | 184 05.7 S21 23.2 | 314 54.2 N23 26.7 | 211 23.7 S15 50.7 | 272 31.0 N 8 18.4
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| v -0.9 d 0.5 | v 3.1 d 0.2 | v 2.0 d 0.1 | v 2.5 d 0.0
3096 DEC. 19, 20, 21 (SAT, SUN, MON)
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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 11.8 S23 16.3 | 39 23.4 6.5 N12 49.4 9.3 60.7 | Acamar 304 55.2 S35 58.1
1 | 196 11.5 S23 16.4 | 53 48.8 6.5 N12 58.6 9.2 60.7 | Achernar 325 16.2 S51 43.0
2 | 211 11.2 S23 16.4 | 68 14.2 6.4 N13 07.8 9.1 60.7 | Acrux 157 51.4 S69 08.1
3 | 226 10.9 S23 16.5 | 82 39.5 6.3 N13 16.8 9.1 60.8 | Adhara 244 26.7 S30 30.3
4 | 241 10.7 S23 16.5 | 97 04.7 6.2 N13 25.8 9.0 60.8 | Albireo 56 09.3 N30 17.9
S 5 | 256 10.4 S23 16.5 | 111 29.9 6.1 N13 34.7 8.9 60.8 |
A | | | Aldebaran 275 10.1 N18 38.3
T 6 | 271 10.1 S23 16.6 | 125 54.9 6.1 N13 43.5 8.8 60.8 | Alioth 154 23.1 N50 02.6
U 7 | 286 09.8 S23 16.6 | 140 19.9 6.0 N13 52.2 8.7 60.9 | Alkaid 142 13.5 N43 53.0
R 8 | 301 09.5 S23 16.7 | 154 44.8 5.9 N14 00.8 8.6 60.9 | Al Na-ir 10 40.8 S41 38.8
D 9 | 316 09.2 S23 16.7 | 169 09.6 5.8 N14 09.4 8.5 60.9 | Alnilam 261 55.3 S 0 34.0
A 10 | 331 08.9 S23 16.7 | 183 34.4 5.7 N14 17.8 8.5 60.9 |
Y 11 | 346 08.6 S23 16.8 | 197 59.0 5.7 N14 26.2 8.4 61.0 | Alphard 204 31.6 S13 25.6
| | | Alphecca 114 36.7 N23 04.9
12 | 1 08.3 S23 16.8 | 212 23.6 5.6 N14 34.5 8.3 61.0 | Alpheratz 343 35.4 N35 07.1
13 | 16 08.0 S23 16.9 | 226 48.1 5.5 N14 42.6 8.2 61.0 | Altair 48 50.2 N11 48.3
14 | 31 07.7 S23 16.9 | 241 12.5 5.4 N14 50.7 8.1 61.0 | Ankaa 339 49.4 S36 23.5
15 | 46 07.5 S23 16.9 | 255 36.9 5.4 N14 58.7 8.0 61.0 |
16 | 61 07.2 S23 17.0 | 270 01.2 5.3 N15 06.6 7.9 61.1 | Antares 95 43.6 S28 47.2
17 | 76 06.9 S23 17.0 | 284 25.4 5.2 N15 14.3 7.8 61.1 | Arcturus 133 28.5 N13 31.5
| | | Atria 78 37.2 S70 54.9
18 | 91 06.6 S23 17.0 | 298 49.5 5.1 N15 22.0 7.7 61.1 | Avior 228 36.9 S63 02.5
19 | 106 06.3 S23 17.1 | 313 13.6 5.1 N15 29.6 7.6 61.1 | Bellatrix 263 54.1 N 7 16.4
20 | 121 06.0 S23 17.1 | 327 37.6 5.0 N15 37.0 7.5 61.1 |
21 | 136 05.7 S23 17.1 | 342 01.5 4.9 N15 44.4 7.4 61.2 | Betelgeuse 256 15.4 N 7 32.7
22 | 151 05.4 S23 17.2 | 356 25.3 4.8 N15 51.6 7.2 61.2 | Canopus 257 46.5 S53 19.3
23 | 166 05.1 S23 17.2 | 10 49.1 4.8 N15 58.8 7.1 61.2 | Capella 260 27.7 N47 01.3
------+-------------------+----------------------------------| Castor 228 47.5 N29 25.6
20 0 | 181 04.8 S23 17.2 | 25 12.8 4.7 N16 05.8 7.0 61.2 | Deneb 40 10.6 N49 13.0
1 | 196 04.5 S23 17.2 | 39 36.4 4.6 N16 12.7 6.9 61.2 |
2 | 211 04.2 S23 17.3 | 54 00.0 4.6 N16 19.5 6.8 61.2 | Denebola 168 40.1 N 8 27.9
3 | 226 04.0 S23 17.3 | 68 23.5 4.5 N16 26.2 6.7 61.3 | Diphda 335 15.2 S12 00.5
4 | 241 03.7 S23 17.3 | 82 47.0 4.4 N16 32.8 6.6 61.3 | Dubhe 177 13.7 N55 49.9
S 5 | 256 03.4 S23 17.3 | 97 10.3 4.4 N16 39.3 6.5 61.3 | Elnath 260 59.4 N29 27.1
U | | | Eltanin 84 21.2 N51 23.4
N 6 | 271 03.1 S23 17.4 | 111 33.6 4.3 N16 45.6 6.3 61.3 |
D 7 | 286 02.8 S23 17.4 | 125 56.9 4.3 N16 51.8 6.2 61.3 | Enif 20 23.5 N14 54.8
A 8 | 301 02.5 S23 17.4 | 140 20.1 4.2 N16 57.9 6.1 61.3 | Fomalhaut 0 23.5 S23 49.4
Y 9 | 316 02.2 S23 17.4 | 154 43.2 4.1 N17 03.9 6.0 61.3 | Gacrux 156 47.3 S63 12.7
10 | 331 01.9 S23 17.5 | 169 06.3 4.1 N17 09.7 5.8 61.3 | Gienah 161 49.5 S23 35.8
11 | 346 01.6 S23 17.5 | 183 29.3 4.0 N17 15.4 5.7 61.4 | Hadar 129 26.9 S65 35.5
| | |
12 | 1 01.3 S23 17.5 | 197 52.3 4.0 N17 21.0 5.6 61.4 | Hamal 312 36.6 N28 35.4
13 | 16 01.0 S23 17.5 | 212 15.2 3.9 N17 26.5 5.5 61.4 | Kaus Austr. 65 41.6 S33 47.6
14 | 31 00.7 S23 17.5 | 226 38.1 3.9 N17 31.9 5.3 61.4 | Kochab 137 46.1 N69 41.3
15 | 46 00.4 S23 17.5 | 241 00.9 3.8 N17 37.1 5.2 61.4 | Markab 0 02.5 N21 05.6
16 | 61 00.2 S23 17.6 | 255 23.6 3.8 N17 42.2 5.1 61.4 | Menkar 299 58.5 N 8 19.5
17 | 75 59.9 S23 17.6 | 269 46.3 3.7 N17 47.1 5.0 61.4 |
| | | Menkent 132 02.5 S41 42.2
18 | 90 59.6 S23 17.6 | 284 09.0 3.7 N17 51.9 4.8 61.4 | Miaplacidus 218 35.9 S74 13.2
19 | 105 59.3 S23 17.6 | 298 31.6 3.6 N17 56.6 4.7 61.4 | Mirfak 289 09.5 N53 40.9
20 | 120 59.0 S23 17.6 | 312 54.2 3.6 N18 01.2 4.6 61.4 | Nunki 59 07.3 S24 52.3
21 | 135 58.7 S23 17.6 | 327 16.7 3.5 N18 05.6 4.4 61.4 | Peacock 31 58.2 S53 10.0
22 | 150 58.4 S23 17.6 | 341 39.2 3.5 N18 09.9 4.3 61.4 |
23 | 165 58.1 S23 17.6 | 356 01.7 3.5 N18 14.0 4.1 61.4 | Polaris 45 38.9 N94 10.0
------+-------------------+----------------------------------| Pollux 226 50.0 N25 19.3
21 0 | 180 57.8 S23 17.7 | 10 24.1 3.4 N18 18.0 4.0 61.4 | Procyon 230 44.1 N 2 22.0
1 | 195 57.5 S23 17.7 | 24 46.5 3.4 N18 21.9 3.9 61.4 | Rasalhague 83 26.2 N11 49.3
2 | 210 57.2 S23 17.7 | 39 08.8 3.4 N18 25.6 3.7 61.4 | Regulus 193 13.8 N 6 36.0
3 | 225 56.9 S23 17.7 | 53 31.2 3.3 N18 29.2 3.6 61.4 |
4 | 240 56.6 S23 17.7 | 67 53.5 3.3 N18 32.7 3.4 61.4 | Rigel 268 04.4 S 6 60.0
M 5 | 255 56.4 S23 17.7 | 82 15.7 3.3 N18 36.0 3.3 61.4 | Rigil Kent 121 15.7 S65 17.3
O | | | Sabik 86 35.0 S17 00.5
N 6 | 270 56.1 S23 17.7 | 96 38.0 3.2 N18 39.1 3.2 61.4 | Schedar 334 05.5 N62 31.0
D 7 | 285 55.8 S23 17.7 | 111 00.2 3.2 N18 42.2 3.0 61.4 | Shaula 77 53.7 S37 49.2
A 8 | 300 55.5 S23 17.7 | 125 22.4 3.2 N18 45.0 2.9 61.4 |
Y 9 | 315 55.2 S23 17.7 | 139 44.5 3.2 N18 47.8 2.7 61.4 | Sirius 246 31.5 S18 16.1
10 | 330 54.9 S23 17.7 | 154 06.7 3.2 N18 50.4 2.6 61.4 | Spica 144 08.3 S16 50.0
11 | 345 54.6 S23 17.7 | 168 28.8 3.1 N18 52.8 2.4 61.4 | Suhail 212 46.8 S47 52.1
| | | Vega 71 22.1 N39 50.5
12 | 0 54.3 S23 17.7 | 182 51.0 3.1 N18 55.1 2.3 61.4 | Zuben-ubi 122 26.7 S20 31.9
13 | 15 54.0 S23 17.7 | 197 13.1 3.1 N18 57.3 2.2 61.4 |
14 | 30 53.7 S23 17.7 | 211 35.2 3.1 N18 59.3 2.0 61.4 |
15 | 45 53.4 S23 17.7 | 225 57.3 3.1 N19 01.2 1.9 61.4 |
16 | 60 53.1 S23 17.7 | 240 19.4 3.1 N19 02.9 1.7 61.4 |
17 | 75 52.8 S23 17.7 | 254 41.5 3.1 N19 04.5 1.6 61.4 |
| | |
18 | 90 52.5 S23 17.7 | 269 03.5 3.1 N19 05.9 1.4 61.4 |
19 | 105 52.2 S23 17.7 | 283 25.6 3.1 N19 07.2 1.3 61.4 |
20 | 120 52.0 S23 17.7 | 297 47.7 3.1 N19 08.3 1.1 61.4 |
21 | 135 51.7 S23 17.7 | 312 09.8 3.1 N19 09.3 1.0 61.4 |
22 | 150 51.4 S23 17.6 | 326 31.9 3.1 N19 10.1 0.8 61.4 |
23 | 165 51.1 S23 17.6 | 340 54.0 3.1 N19 10.8 0.7 61.3 |
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|S.D. 16.2 d 0.0 | S.D. 16.6 16.7 16.7 |
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