
3131 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 | 87 03.1 | 216 07.5 S16 32.8 | 160 03.9 S23 22.5 | 236 23.0 S11 10.8 | 219 34.7 S15 18.3
1 | 102 05.5 | 231 06.9 S16 33.6 | 175 04.3 S23 22.3 | 251 25.0 S11 11.0 | 234 36.9 S15 18.3
2 | 117 08.0 | 246 06.3 S16 34.4 | 190 04.8 S23 22.1 | 266 27.1 S11 11.1 | 249 39.1 S15 18.4
3 | 132 10.5 | 261 05.7 S16 35.2 | 205 05.2 S23 21.9 | 281 29.2 S11 11.2 | 264 41.3 S15 18.5
4 | 147 12.9 | 276 05.0 S16 36.0 | 220 05.6 S23 21.6 | 296 31.2 S11 11.4 | 279 43.5 S15 18.5
S 5 | 162 15.4 | 291 04.4 S16 36.8 | 235 06.1 S23 21.4 | 311 33.3 S11 11.5 | 294 45.7 S15 18.6
A
T 6 | 177 17.9 | 306 03.8 S16 37.6 | 250 06.5 S23 21.2 | 326 35.4 S11 11.6 | 309 47.9 S15 18.7
U 7 | 192 20.3 | 321 03.2 S16 38.4 | 265 06.9 S23 21.0 | 341 37.4 S11 11.8 | 324 50.1 S15 18.7
R 8 | 207 22.8 | 336 02.5 S16 39.2 | 280 07.4 S23 20.8 | 356 39.5 S11 11.9 | 339 52.3 S15 18.8
D 9 | 222 25.2 | 351 01.9 S16 40.0 | 295 07.8 S23 20.6 | 11 41.5 S11 12.0 | 354 54.5 S15 18.9
A 10 | 237 27.7 | 6 01.3 S16 40.7 | 310 08.2 S23 20.4 | 26 43.6 S11 12.2 | 9 56.7 S15 18.9
Y 11 | 252 30.2 | 21 00.6 S16 41.5 | 325 08.7 S23 20.2 | 41 45.7 S11 12.3 | 24 58.9 S15 19.0
12 | 267 32.6 | 36 00.0 S16 42.3 | 340 09.1 S23 20.0 | 56 47.7 S11 12.5 | 40 01.1 S15 19.1
13 | 282 35.1 | 50 59.4 S16 43.1 | 355 09.5 S23 19.8 | 71 49.8 S11 12.6 | 55 03.3 S15 19.1
14 | 297 37.6 | 65 58.8 S16 43.9 | 10 10.0 S23 19.5 | 86 51.9 S11 12.7 | 70 05.5 S15 19.2
15 | 312 40.0 | 80 58.1 S16 44.7 | 25 10.4 S23 19.3 | 101 53.9 S11 12.9 | 85 07.7 S15 19.3
16 | 327 42.5 | 95 57.5 S16 45.5 | 40 10.8 S23 19.1 | 116 56.0 S11 13.0 | 100 09.9 S15 19.3
17 | 342 45.0 | 110 56.9 S16 46.3 | 55 11.3 S23 18.9 | 131 58.1 S11 13.1 | 115 12.1 S15 19.4
18 | 357 47.4 | 125 56.2 S16 47.1 | 70 11.7 S23 18.7 | 147 00.2 S11 13.3 | 130 14.3 S15 19.5
19 | 12 49.9 | 140 55.6 S16 47.9 | 85 12.1 S23 18.5 | 162 02.2 S11 13.4 | 145 16.5 S15 19.5
20 | 27 52.3 | 155 55.0 S16 48.6 | 100 12.6 S23 18.3 | 177 04.3 S11 13.5 | 160 18.7 S15 19.6
21 | 42 54.8 | 170 54.3 S16 49.4 | 115 13.0 S23 18.1 | 192 06.4 S11 13.7 | 175 20.9 S15 19.6
22 | 57 57.3 | 185 53.7 S16 50.2 | 130 13.4 S23 17.8 | 207 08.4 S11 13.8 | 190 23.1 S15 19.7
23 | 72 59.7 | 200 53.1 S16 51.0 | 145 13.8 S23 17.6 | 222 10.5 S11 13.9 | 205 25.3 S15 19.8
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20 0 | 88 02.2 | 215 52.4 S16 51.8 | 160 14.3 S23 17.4 | 237 12.6 S11 14.1 | 220 27.5 S15 19.8
1 | 103 04.7 | 230 51.8 S16 52.6 | 175 14.7 S23 17.2 | 252 14.6 S11 14.2 | 235 29.7 S15 19.9
2 | 118 07.1 | 245 51.1 S16 53.3 | 190 15.1 S23 17.0 | 267 16.7 S11 14.3 | 250 31.9 S15 20.0
3 | 133 09.6 | 260 50.5 S16 54.1 | 205 15.6 S23 16.8 | 282 18.8 S11 14.5 | 265 34.1 S15 20.0
4 | 148 12.1 | 275 49.9 S16 54.9 | 220 16.0 S23 16.5 | 297 20.8 S11 14.6 | 280 36.3 S15 20.1
S 5 | 163 14.5 | 290 49.2 S16 55.7 | 235 16.4 S23 16.3 | 312 22.9 S11 14.7 | 295 38.5 S15 20.2
U
N 6 | 178 17.0 | 305 48.6 S16 56.5 | 250 16.9 S23 16.1 | 327 25.0 S11 14.9 | 310 40.7 S15 20.2
D 7 | 193 19.5 | 320 48.0 S16 57.2 | 265 17.3 S23 15.9 | 342 27.0 S11 15.0 | 325 42.9 S15 20.3
A 8 | 208 21.9 | 335 47.3 S16 58.0 | 280 17.7 S23 15.7 | 357 29.1 S11 15.1 | 340 45.1 S15 20.4
Y 9 | 223 24.4 | 350 46.7 S16 58.8 | 295 18.2 S23 15.4 | 12 31.2 S11 15.3 | 355 47.3 S15 20.4
10 | 238 26.8 | 5 46.0 S16 59.6 | 310 18.6 S23 15.2 | 27 33.3 S11 15.4 | 10 49.5 S15 20.5
11 | 253 29.3 | 20 45.4 S17 00.3 | 325 19.0 S23 15.0 | 42 35.3 S11 15.5 | 25 51.7 S15 20.6
12 | 268 31.8 | 35 44.8 S17 01.1 | 340 19.5 S23 14.8 | 57 37.4 S11 15.7 | 40 53.9 S15 20.6
13 | 283 34.2 | 50 44.1 S17 01.9 | 355 19.9 S23 14.6 | 72 39.5 S11 15.8 | 55 56.1 S15 20.7
14 | 298 36.7 | 65 43.5 S17 02.7 | 10 20.3 S23 14.3 | 87 41.5 S11 15.9 | 70 58.3 S15 20.8
15 | 313 39.2 | 80 42.8 S17 03.4 | 25 20.8 S23 14.1 | 102 43.6 S11 16.1 | 86 00.6 S15 20.8
16 | 328 41.6 | 95 42.2 S17 04.2 | 40 21.2 S23 13.9 | 117 45.7 S11 16.2 | 101 02.8 S15 20.9
17 | 343 44.1 | 110 41.5 S17 05.0 | 55 21.6 S23 13.7 | 132 47.7 S11 16.3 | 116 05.0 S15 20.9
18 | 358 46.6 | 125 40.9 S17 05.8 | 70 22.1 S23 13.4 | 147 49.8 S11 16.5 | 131 07.2 S15 21.0
19 | 13 49.0 | 140 40.2 S17 06.5 | 85 22.5 S23 13.2 | 162 51.9 S11 16.6 | 146 09.4 S15 21.1
20 | 28 51.5 | 155 39.6 S17 07.3 | 100 22.9 S23 13.0 | 177 54.0 S11 16.7 | 161 11.6 S15 21.1
21 | 43 54.0 | 170 39.0 S17 08.1 | 115 23.4 S23 12.8 | 192 56.0 S11 16.9 | 176 13.8 S15 21.2
22 | 58 56.4 | 185 38.3 S17 08.8 | 130 23.8 S23 12.5 | 207 58.1 S11 17.0 | 191 16.0 S15 21.3
23 | 73 58.9 | 200 37.7 S17 09.6 | 145 24.2 S23 12.3 | 223 00.2 S11 17.1 | 206 18.2 S15 21.3
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21 0 | 89 01.3 | 215 37.0 S17 10.4 | 160 24.6 S23 12.1 | 238 02.2 S11 17.2 | 221 20.4 S15 21.4
1 | 104 03.8 | 230 36.4 S17 11.1 | 175 25.1 S23 11.9 | 253 04.3 S11 17.4 | 236 22.6 S15 21.5
2 | 119 06.3 | 245 35.7 S17 11.9 | 190 25.5 S23 11.6 | 268 06.4 S11 17.5 | 251 24.8 S15 21.5
3 | 134 08.7 | 260 35.1 S17 12.6 | 205 25.9 S23 11.4 | 283 08.5 S11 17.6 | 266 27.0 S15 21.6
4 | 149 11.2 | 275 34.4 S17 13.4 | 220 26.4 S23 11.2 | 298 10.5 S11 17.8 | 281 29.2 S15 21.7
M 5 | 164 13.7 | 290 33.8 S17 14.2 | 235 26.8 S23 10.9 | 313 12.6 S11 17.9 | 296 31.4 S15 21.7
O
N 6 | 179 16.1 | 305 33.1 S17 14.9 | 250 27.2 S23 10.7 | 328 14.7 S11 18.0 | 311 33.6 S15 21.8
D 7 | 194 18.6 | 320 32.5 S17 15.7 | 265 27.7 S23 10.5 | 343 16.8 S11 18.2 | 326 35.8 S15 21.9
A 8 | 209 21.1 | 335 31.8 S17 16.5 | 280 28.1 S23 10.3 | 358 18.8 S11 18.3 | 341 38.0 S15 21.9
Y 9 | 224 23.5 | 350 31.2 S17 17.2 | 295 28.5 S23 10.0 | 13 20.9 S11 18.4 | 356 40.2 S15 22.0
10 | 239 26.0 | 5 30.5 S17 18.0 | 310 29.0 S23 09.8 | 28 23.0 S11 18.6 | 11 42.4 S15 22.0
11 | 254 28.4 | 20 29.9 S17 18.7 | 325 29.4 S23 09.6 | 43 25.0 S11 18.7 | 26 44.6 S15 22.1
12 | 269 30.9 | 35 29.2 S17 19.5 | 340 29.8 S23 09.3 | 58 27.1 S11 18.8 | 41 46.8 S15 22.2
13 | 284 33.4 | 50 28.6 S17 20.2 | 355 30.3 S23 09.1 | 73 29.2 S11 19.0 | 56 49.0 S15 22.2
14 | 299 35.8 | 65 27.9 S17 21.0 | 10 30.7 S23 08.9 | 88 31.3 S11 19.1 | 71 51.2 S15 22.3
15 | 314 38.3 | 80 27.2 S17 21.8 | 25 31.1 S23 08.6 | 103 33.3 S11 19.2 | 86 53.4 S15 22.4
16 | 329 40.8 | 95 26.6 S17 22.5 | 40 31.6 S23 08.4 | 118 35.4 S11 19.3 | 101 55.6 S15 22.4
17 | 344 43.2 | 110 25.9 S17 23.3 | 55 32.0 S23 08.2 | 133 37.5 S11 19.5 | 116 57.8 S15 22.5
18 | 359 45.7 | 125 25.3 S17 24.0 | 70 32.4 S23 07.9 | 148 39.6 S11 19.6 | 132 00.0 S15 22.6
19 | 14 48.2 | 140 24.6 S17 24.8 | 85 32.9 S23 07.7 | 163 41.6 S11 19.7 | 147 02.2 S15 22.6
20 | 29 50.6 | 155 24.0 S17 25.5 | 100 33.3 S23 07.5 | 178 43.7 S11 19.9 | 162 04.4 S15 22.7
21 | 44 53.1 | 170 23.3 S17 26.3 | 115 33.7 S23 07.2 | 193 45.8 S11 20.0 | 177 06.7 S15 22.7
22 | 59 55.6 | 185 22.6 S17 27.0 | 130 34.2 S23 07.0 | 208 47.9 S11 20.1 | 192 08.9 S15 22.8
23 | 74 58.0 | 200 22.0 S17 27.8 | 145 34.6 S23 06.8 | 223 49.9 S11 20.3 | 207 11.1 S15 22.9
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| v -0.6 d 0.8 | v 0.4 d 0.2 | v 2.1 d 0.1 | v 2.2 d 0.1
3131 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 22.9 S23 13.8 | 98 47.8 11.9 S 2 42.6 10.4 57.4 | Acamar 304 34.7 S35 49.8
1 | 196 22.6 S23 13.9 | 113 18.7 11.9 S 2 32.2 10.4 57.5 | Achernar 324 56.1 S51 32.4
2 | 211 22.3 S23 14.0 | 127 49.5 11.9 S 2 21.8 10.4 57.5 | Acrux 157 21.3 S69 19.7
3 | 226 22.0 S23 14.1 | 142 20.4 11.8 S 2 11.4 10.4 57.5 | Adhara 244 05.5 S30 33.2
4 | 241 21.7 S23 14.1 | 156 51.2 11.8 S 2 01.0 10.4 57.6 | Albireo 55 47.5 N30 22.4
S 5 | 256 21.4 S23 14.2 | 171 22.0 11.8 S 1 50.5 10.5 57.6 |
A | | | Aldebaran 274 39.4 N18 42.4
T 6 | 271 21.2 S23 14.3 | 185 52.7 11.7 S 1 40.0 10.5 57.6 | Alioth 153 59.5 N49 51.3
U 7 | 286 20.9 S23 14.4 | 200 23.4 11.7 S 1 29.5 10.5 57.7 | Alkaid 141 52.3 N43 42.6
R 8 | 301 20.6 S23 14.4 | 214 54.1 11.7 S 1 19.0 10.5 57.7 | Al Na-ir 10 07.3 S41 28.6
D 9 | 316 20.3 S23 14.5 | 229 24.8 11.7 S 1 08.4 10.5 57.7 | Alnilam 261 28.1 S 0 32.8
A 10 | 331 20.0 S23 14.6 | 243 55.4 11.6 S 0 57.8 10.6 57.8 |
Y 11 | 346 19.7 S23 14.6 | 258 26.0 11.6 S 0 47.3 10.6 57.8 | Alphard 204 05.3 S13 34.8
| | | Alphecca 114 13.9 N22 57.9
12 | 1 19.4 S23 14.7 | 272 56.5 11.6 S 0 36.7 10.6 57.8 | Alpheratz 343 07.6 N35 18.7
13 | 16 19.1 S23 14.8 | 287 27.1 11.5 S 0 26.0 10.6 57.9 | Altair 48 24.0 N11 54.0
14 | 31 18.9 S23 14.8 | 301 57.6 11.5 S 0 15.4 10.6 57.9 | Ankaa 339 23.0 S36 12.2
15 | 46 18.6 S23 14.9 | 316 28.0 11.5 S 0 04.8 10.6 57.9 |
16 | 61 18.3 S23 14.9 | 330 58.4 11.4 N 0 05.9 10.7 58.0 | Antares 95 10.8 S28 51.7
17 | 76 18.0 S23 15.0 | 345 28.8 11.4 N 0 16.6 10.7 58.0 | Arcturus 133 04.0 N13 20.7
| | | Atria 77 40.8 S70 58.5
18 | 91 17.7 S23 15.1 | 359 59.2 11.3 N 0 27.2 10.7 58.0 | Avior 228 25.5 S63 09.3
19 | 106 17.4 S23 15.1 | 14 29.5 11.3 N 0 37.9 10.7 58.1 | Bellatrix 263 25.3 N 7 18.1
20 | 121 17.1 S23 15.2 | 28 59.7 11.3 N 0 48.6 10.7 58.1 |
21 | 136 16.8 S23 15.3 | 43 30.0 11.2 N 0 59.3 10.7 58.1 | Betelgeuse 255 46.5 N 7 32.9
22 | 151 16.5 S23 15.3 | 58 00.1 11.2 N 1 10.0 10.7 58.2 | Canopus 257 34.2 S53 20.5
23 | 166 16.3 S23 15.4 | 72 30.3 11.1 N 1 20.7 10.7 58.2 | Capella 259 48.3 N47 03.2
------+-------------------+----------------------------------| Castor 228 13.6 N29 20.9
20 0 | 181 16.0 S23 15.4 | 87 00.4 11.1 N 1 31.5 10.7 58.2 | Deneb 39 52.1 N49 20.5
1 | 196 15.7 S23 15.5 | 101 30.4 11.1 N 1 42.2 10.7 58.3 |
2 | 211 15.4 S23 15.5 | 116 00.5 11.0 N 1 52.9 10.7 58.3 | Denebola 168 12.8 N 8 16.2
3 | 226 15.1 S23 15.6 | 130 30.4 11.0 N 2 03.7 10.7 58.3 | Diphda 334 48.3 S11 49.0
4 | 241 14.8 S23 15.6 | 145 00.4 10.9 N 2 14.4 10.7 58.4 | Dubhe 176 41.1 N55 38.5
S 5 | 256 14.5 S23 15.7 | 159 30.2 10.9 N 2 25.1 10.7 58.4 | Elnath 260 25.6 N29 28.8
U | | | Eltanin 84 08.4 N51 23.2
N 6 | 271 14.2 S23 15.8 | 174 00.1 10.8 N 2 35.9 10.7 58.4 |
D 7 | 286 13.9 S23 15.8 | 188 29.8 10.8 N 2 46.6 10.7 58.5 | Enif 19 57.1 N15 04.5
A 8 | 301 13.6 S23 15.9 | 202 59.6 10.7 N 2 57.3 10.7 58.5 | Fomalhaut 359 54.0 S23 38.2
Y 9 | 316 13.4 S23 15.9 | 217 29.3 10.7 N 3 08.1 10.7 58.5 | Gacrux 156 17.4 S63 24.4
10 | 331 13.1 S23 16.0 | 231 58.9 10.6 N 3 18.8 10.7 58.6 | Gienah 161 21.9 S23 47.4
11 | 346 12.8 S23 16.0 | 246 28.5 10.6 N 3 29.5 10.7 58.6 | Hadar 128 48.9 S65 45.5
| | |
12 | 1 12.5 S23 16.0 | 260 58.0 10.5 N 3 40.2 10.7 58.6 | Hamal 312 06.3 N28 45.2
13 | 16 12.2 S23 16.1 | 275 27.5 10.5 N 3 50.9 10.7 58.7 | Kaus Austr. 65 06.2 S33 46.5
14 | 31 11.9 S23 16.1 | 289 56.9 10.4 N 4 01.6 10.7 58.7 | Kochab 137 46.7 N69 32.7
15 | 46 11.6 S23 16.2 | 304 26.3 10.4 N 4 12.3 10.7 58.7 | Markab 359 35.7 N21 16.9
16 | 61 11.3 S23 16.2 | 318 55.6 10.3 N 4 23.0 10.7 58.8 | Menkar 299 30.4 N 8 27.7
17 | 76 11.0 S23 16.3 | 333 24.9 10.3 N 4 33.6 10.7 58.8 |
| | | Menkent 131 30.9 S41 52.4
18 | 91 10.7 S23 16.3 | 347 54.1 10.2 N 4 44.3 10.7 58.8 | Miaplacidus 218 29.6 S74 21.8
19 | 106 10.4 S23 16.4 | 2 23.3 10.2 N 4 54.9 10.6 58.9 | Mirfak 288 31.3 N53 48.2
20 | 121 10.2 S23 16.4 | 16 52.4 10.1 N 5 05.5 10.6 58.9 | Nunki 58 34.2 S24 49.5
21 | 136 09.9 S23 16.4 | 31 21.4 10.0 N 5 16.1 10.6 58.9 | Peacock 31 16.4 S53 03.2
22 | 151 09.6 S23 16.5 | 45 50.4 10.0 N 5 26.7 10.6 59.0 |
23 | 166 09.3 S23 16.5 | 60 19.3 9.9 N 5 37.3 10.6 59.0 | Polaris 36 46.3 N94 19.4
------+-------------------+----------------------------------| Pollux 226 17.4 N25 14.1
21 0 | 181 09.0 S23 16.6 | 74 48.2 9.9 N 5 47.9 10.6 59.0 | Procyon 230 16.0 N 2 16.5
1 | 196 08.7 S23 16.6 | 89 17.0 9.8 N 5 58.4 10.5 59.1 | Rasalhague 83 01.2 N11 47.9
2 | 211 08.4 S23 16.6 | 103 45.7 9.7 N 6 08.9 10.5 59.1 | Regulus 192 45.4 N 6 25.7
3 | 226 08.1 S23 16.7 | 118 14.4 9.7 N 6 19.4 10.5 59.1 |
4 | 241 07.8 S23 16.7 | 132 43.0 9.6 N 6 29.8 10.5 59.2 | Rigel 267 38.6 S 6 57.7
M 5 | 256 07.5 S23 16.7 | 147 11.6 9.6 N 6 40.3 10.4 59.2 | Rigil Kent 120 39.2 S65 25.8
O | | | Sabik 86 04.4 S17 03.0
N 6 | 271 07.2 S23 16.8 | 161 40.1 9.5 N 6 50.7 10.4 59.2 | Schedar 333 34.9 N62 42.4
D 7 | 286 07.0 S23 16.8 | 176 08.5 9.4 N 7 01.1 10.4 59.3 | Shaula 77 17.4 S37 50.6
A 8 | 301 06.7 S23 16.8 | 190 36.9 9.4 N 7 11.4 10.4 59.3 |
Y 9 | 316 06.4 S23 16.9 | 205 05.2 9.3 N 7 21.8 10.3 59.3 | Sirius 246 07.8 S18 19.1
10 | 331 06.1 S23 16.9 | 219 33.4 9.2 N 7 32.0 10.3 59.4 | Spica 143 40.0 S17 00.9
11 | 346 05.8 S23 16.9 | 234 01.6 9.2 N 7 42.3 10.3 59.4 | Suhail 212 26.8 S48 00.6
| | | Vega 71 03.7 N39 52.6
12 | 1 05.5 S23 16.9 | 248 29.7 9.1 N 7 52.5 10.2 59.4 | Zuben-ubi 121 57.9 S20 40.5
13 | 16 05.2 S23 17.0 | 262 57.7 9.0 N 8 02.7 10.2 59.5 |
14 | 31 04.9 S23 17.0 | 277 25.7 9.0 N 8 12.9 10.2 59.5 |
15 | 46 04.6 S23 17.0 | 291 53.6 8.9 N 8 23.0 10.1 59.5 |
16 | 61 04.3 S23 17.0 | 306 21.4 8.8 N 8 33.1 10.1 59.5 |
17 | 76 04.0 S23 17.1 | 320 49.2 8.8 N 8 43.1 10.0 59.6 |
| | |
18 | 91 03.7 S23 17.1 | 335 16.9 8.7 N 8 53.1 10.0 59.6 |
19 | 106 03.5 S23 17.1 | 349 44.5 8.6 N 9 03.1 10.0 59.6 |
20 | 121 03.2 S23 17.1 | 4 12.0 8.5 N 9 13.0 9.9 59.7 |
21 | 136 02.9 S23 17.2 | 18 39.5 8.5 N 9 22.8 9.9 59.7 |
22 | 151 02.6 S23 17.2 | 33 06.9 8.4 N 9 32.7 9.8 59.7 |
23 | 166 02.3 S23 17.2 | 47 34.2 8.3 N 9 42.4 9.8 59.8 |
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|S.D. 16.2 d 0.0 | S.D. 15.8 16.0 16.2 |
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