
2557 DEC. 19, 20, 21 (MON, TUE, WED)
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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 00.6 | 220 22.2 S15 32.1 | 207 30.0 S20 28.3 | 37 39.3 N17 14.3 | 63 47.3 N 7 15.4
1 | 103 03.1 | 235 21.7 S15 33.0 | 222 30.7 S20 28.6 | 52 42.0 N17 14.2 | 78 49.8 N 7 15.4
2 | 118 05.5 | 250 21.1 S15 33.8 | 237 31.3 S20 29.0 | 67 44.7 N17 14.2 | 93 52.3 N 7 15.4
3 | 133 08.0 | 265 20.5 S15 34.6 | 252 32.0 S20 29.3 | 82 47.4 N17 14.2 | 108 54.8 N 7 15.4
4 | 148 10.5 | 280 20.0 S15 35.5 | 267 32.7 S20 29.7 | 97 50.1 N17 14.1 | 123 57.3 N 7 15.3
M 5 | 163 12.9 | 295 19.4 S15 36.3 | 282 33.4 S20 30.1 | 112 52.8 N17 14.1 | 138 59.8 N 7 15.3
O
N 6 | 178 15.4 | 310 18.9 S15 37.1 | 297 34.0 S20 30.4 | 127 55.5 N17 14.0 | 154 02.3 N 7 15.3
D 7 | 193 17.9 | 325 18.3 S15 38.0 | 312 34.7 S20 30.8 | 142 58.2 N17 14.0 | 169 04.8 N 7 15.3
A 8 | 208 20.3 | 340 17.8 S15 38.8 | 327 35.4 S20 31.1 | 158 00.9 N17 13.9 | 184 07.4 N 7 15.3
Y 9 | 223 22.8 | 355 17.2 S15 39.6 | 342 36.0 S20 31.5 | 173 03.6 N17 13.9 | 199 09.9 N 7 15.3
10 | 238 25.3 | 10 16.6 S15 40.5 | 357 36.7 S20 31.8 | 188 06.2 N17 13.8 | 214 12.4 N 7 15.3
11 | 253 27.7 | 25 16.1 S15 41.3 | 12 37.4 S20 32.2 | 203 08.9 N17 13.8 | 229 14.9 N 7 15.3
12 | 268 30.2 | 40 15.5 S15 42.1 | 27 38.1 S20 32.6 | 218 11.6 N17 13.7 | 244 17.4 N 7 15.3
13 | 283 32.6 | 55 14.9 S15 43.0 | 42 38.7 S20 32.9 | 233 14.3 N17 13.7 | 259 19.9 N 7 15.3
14 | 298 35.1 | 70 14.4 S15 43.8 | 57 39.4 S20 33.3 | 248 17.0 N17 13.7 | 274 22.4 N 7 15.3
15 | 313 37.6 | 85 13.8 S15 44.6 | 72 40.1 S20 33.6 | 263 19.7 N17 13.6 | 289 24.9 N 7 15.3
16 | 328 40.0 | 100 13.3 S15 45.4 | 87 40.7 S20 34.0 | 278 22.4 N17 13.6 | 304 27.4 N 7 15.3
17 | 343 42.5 | 115 12.7 S15 46.3 | 102 41.4 S20 34.3 | 293 25.1 N17 13.5 | 319 29.9 N 7 15.3
18 | 358 45.0 | 130 12.1 S15 47.1 | 117 42.1 S20 34.7 | 308 27.7 N17 13.5 | 334 32.4 N 7 15.3
19 | 13 47.4 | 145 11.6 S15 47.9 | 132 42.7 S20 35.0 | 323 30.4 N17 13.4 | 349 34.9 N 7 15.3
20 | 28 49.9 | 160 11.0 S15 48.8 | 147 43.4 S20 35.4 | 338 33.1 N17 13.4 | 4 37.4 N 7 15.3
21 | 43 52.4 | 175 10.4 S15 49.6 | 162 44.1 S20 35.8 | 353 35.8 N17 13.3 | 19 39.9 N 7 15.3
22 | 58 54.8 | 190 09.9 S15 50.4 | 177 44.7 S20 36.1 | 8 38.5 N17 13.3 | 34 42.4 N 7 15.3
23 | 73 57.3 | 205 09.3 S15 51.2 | 192 45.4 S20 36.5 | 23 41.2 N17 13.2 | 49 44.9 N 7 15.3
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20 0 | 88 59.8 | 220 08.7 S15 52.1 | 207 46.1 S20 36.8 | 38 43.9 N17 13.2 | 64 47.4 N 7 15.3
1 | 104 02.2 | 235 08.2 S15 52.9 | 222 46.8 S20 37.2 | 53 46.6 N17 13.2 | 79 49.9 N 7 15.3
2 | 119 04.7 | 250 07.6 S15 53.7 | 237 47.4 S20 37.5 | 68 49.2 N17 13.1 | 94 52.4 N 7 15.3
3 | 134 07.1 | 265 07.0 S15 54.5 | 252 48.1 S20 37.9 | 83 51.9 N17 13.1 | 109 54.9 N 7 15.3
4 | 149 09.6 | 280 06.5 S15 55.3 | 267 48.8 S20 38.2 | 98 54.6 N17 13.0 | 124 57.4 N 7 15.3
T 5 | 164 12.1 | 295 05.9 S15 56.2 | 282 49.4 S20 38.6 | 113 57.3 N17 13.0 | 139 59.9 N 7 15.3
U
E 6 | 179 14.5 | 310 05.3 S15 57.0 | 297 50.1 S20 38.9 | 128 60.0 N17 12.9 | 155 02.4 N 7 15.3
S 7 | 194 17.0 | 325 04.7 S15 57.8 | 312 50.8 S20 39.3 | 144 02.7 N17 12.9 | 170 04.9 N 7 15.3
D 8 | 209 19.5 | 340 04.2 S15 58.6 | 327 51.4 S20 39.6 | 159 05.3 N17 12.8 | 185 07.4 N 7 15.3
A 9 | 224 21.9 | 355 03.6 S15 59.4 | 342 52.1 S20 40.0 | 174 08.0 N17 12.8 | 200 09.9 N 7 15.3
Y 10 | 239 24.4 | 10 03.0 S16 00.3 | 357 52.8 S20 40.3 | 189 10.7 N17 12.8 | 215 12.4 N 7 15.3
11 | 254 26.9 | 25 02.4 S16 01.1 | 12 53.4 S20 40.7 | 204 13.4 N17 12.7 | 230 14.9 N 7 15.3
12 | 269 29.3 | 40 01.9 S16 01.9 | 27 54.1 S20 41.0 | 219 16.1 N17 12.7 | 245 17.4 N 7 15.3
13 | 284 31.8 | 55 01.3 S16 02.7 | 42 54.8 S20 41.4 | 234 18.7 N17 12.6 | 260 19.9 N 7 15.3
14 | 299 34.3 | 70 00.7 S16 03.5 | 57 55.4 S20 41.7 | 249 21.4 N17 12.6 | 275 22.4 N 7 15.3
15 | 314 36.7 | 85 00.1 S16 04.3 | 72 56.1 S20 42.1 | 264 24.1 N17 12.5 | 290 24.9 N 7 15.3
16 | 329 39.2 | 99 59.6 S16 05.1 | 87 56.7 S20 42.4 | 279 26.8 N17 12.5 | 305 27.4 N 7 15.3
17 | 344 41.6 | 114 59.0 S16 06.0 | 102 57.4 S20 42.8 | 294 29.5 N17 12.5 | 320 29.9 N 7 15.3
18 | 359 44.1 | 129 58.4 S16 06.8 | 117 58.1 S20 43.1 | 309 32.1 N17 12.4 | 335 32.4 N 7 15.3
19 | 14 46.6 | 144 57.8 S16 07.6 | 132 58.7 S20 43.5 | 324 34.8 N17 12.4 | 350 34.9 N 7 15.3
20 | 29 49.0 | 159 57.3 S16 08.4 | 147 59.4 S20 43.8 | 339 37.5 N17 12.3 | 5 37.4 N 7 15.3
21 | 44 51.5 | 174 56.7 S16 09.2 | 163 00.1 S20 44.1 | 354 40.2 N17 12.3 | 20 39.9 N 7 15.3
22 | 59 54.0 | 189 56.1 S16 10.0 | 178 00.7 S20 44.5 | 9 42.9 N17 12.2 | 35 42.4 N 7 15.3
23 | 74 56.4 | 204 55.5 S16 10.8 | 193 01.4 S20 44.8 | 24 45.5 N17 12.2 | 50 44.9 N 7 15.3
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21 0 | 89 58.9 | 219 54.9 S16 11.6 | 208 02.1 S20 45.2 | 39 48.2 N17 12.2 | 65 47.4 N 7 15.3
1 | 105 01.4 | 234 54.4 S16 12.4 | 223 02.7 S20 45.5 | 54 50.9 N17 12.1 | 80 49.9 N 7 15.3
2 | 120 03.8 | 249 53.8 S16 13.3 | 238 03.4 S20 45.9 | 69 53.6 N17 12.1 | 95 52.4 N 7 15.3
3 | 135 06.3 | 264 53.2 S16 14.1 | 253 04.1 S20 46.2 | 84 56.3 N17 12.0 | 110 54.9 N 7 15.3
4 | 150 08.8 | 279 52.6 S16 14.9 | 268 04.7 S20 46.6 | 99 58.9 N17 12.0 | 125 57.4 N 7 15.3
W 5 | 165 11.2 | 294 52.0 S16 15.7 | 283 05.4 S20 46.9 | 115 01.6 N17 11.9 | 140 59.9 N 7 15.3
E
D 6 | 180 13.7 | 309 51.4 S16 16.5 | 298 06.0 S20 47.2 | 130 04.3 N17 11.9 | 156 02.3 N 7 15.3
N 7 | 195 16.1 | 324 50.9 S16 17.3 | 313 06.7 S20 47.6 | 145 07.0 N17 11.9 | 171 04.8 N 7 15.3
E 8 | 210 18.6 | 339 50.3 S16 18.1 | 328 07.4 S20 47.9 | 160 09.6 N17 11.8 | 186 07.3 N 7 15.3
S 9 | 225 21.1 | 354 49.7 S16 18.9 | 343 08.0 S20 48.3 | 175 12.3 N17 11.8 | 201 09.8 N 7 15.3
D 10 | 240 23.5 | 9 49.1 S16 19.7 | 358 08.7 S20 48.6 | 190 15.0 N17 11.7 | 216 12.3 N 7 15.3
A 11 | 255 26.0 | 24 48.5 S16 20.5 | 13 09.3 S20 49.0 | 205 17.7 N17 11.7 | 231 14.8 N 7 15.3
Y
12 | 270 28.5 | 39 47.9 S16 21.3 | 28 10.0 S20 49.3 | 220 20.3 N17 11.6 | 246 17.3 N 7 15.3
13 | 285 30.9 | 54 47.3 S16 22.1 | 43 10.7 S20 49.6 | 235 23.0 N17 11.6 | 261 19.8 N 7 15.3
14 | 300 33.4 | 69 46.8 S16 22.9 | 58 11.3 S20 50.0 | 250 25.7 N17 11.6 | 276 22.3 N 7 15.3
15 | 315 35.9 | 84 46.2 S16 23.7 | 73 12.0 S20 50.3 | 265 28.4 N17 11.5 | 291 24.8 N 7 15.3
16 | 330 38.3 | 99 45.6 S16 24.5 | 88 12.6 S20 50.7 | 280 31.0 N17 11.5 | 306 27.3 N 7 15.3
17 | 345 40.8 | 114 45.0 S16 25.3 | 103 13.3 S20 51.0 | 295 33.7 N17 11.4 | 321 29.8 N 7 15.3
18 | 0 43.3 | 129 44.4 S16 26.1 | 118 14.0 S20 51.3 | 310 36.4 N17 11.4 | 336 32.3 N 7 15.3
19 | 15 45.7 | 144 43.8 S16 26.9 | 133 14.6 S20 51.7 | 325 39.0 N17 11.4 | 351 34.8 N 7 15.3
20 | 30 48.2 | 159 43.2 S16 27.7 | 148 15.3 S20 52.0 | 340 41.7 N17 11.3 | 6 37.3 N 7 15.3
21 | 45 50.6 | 174 42.6 S16 28.5 | 163 15.9 S20 52.4 | 355 44.4 N17 11.3 | 21 39.8 N 7 15.3
22 | 60 53.1 | 189 42.0 S16 29.3 | 178 16.6 S20 52.7 | 10 47.1 N17 11.2 | 36 42.3 N 7 15.3
23 | 75 55.6 | 204 41.4 S16 30.1 | 193 17.3 S20 53.0 | 25 49.7 N17 11.2 | 51 44.8 N 7 15.3
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| v -0.6 d 0.8 | v 0.7 d 0.3 | v 2.7 d 0.0 | v 2.5 d 0.0
2557 DEC. 19, 20, 21 (MON, TUE, WED)
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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 01.7 S23 20.1 | 214 42.8 13.1 S13 56.2 7.8 54.8 | Acamar 310 06.8 S38 05.8
1 | 196 01.4 S23 20.2 | 229 14.9 13.1 S14 04.0 7.8 54.8 | Achernar 330 21.6 S54 25.5
2 | 211 01.1 S23 20.3 | 243 47.0 13.1 S14 11.7 7.7 54.8 | Acrux 165 29.5 S66 10.3
3 | 226 00.8 S23 20.3 | 258 19.0 13.1 S14 19.3 7.6 54.8 | Adhara 249 49.5 S29 45.2
4 | 241 00.5 S23 20.4 | 272 51.1 13.0 S14 26.9 7.6 54.8 | Albireo 61 40.3 N29 09.2
M 5 | 256 00.2 S23 20.4 | 287 23.1 13.0 S14 34.4 7.5 54.8 |
O | | | Aldebaran 282 58.7 N17 35.7
N 6 | 270 59.9 S23 20.5 | 301 55.1 13.0 S14 41.9 7.4 54.8 | Alioth 160 21.8 N52 56.6
D 7 | 285 59.6 S23 20.5 | 316 27.1 13.0 S14 49.2 7.4 54.7 | Alkaid 147 36.4 N46 32.7
A 8 | 300 59.3 S23 20.5 | 330 59.0 13.0 S14 56.5 7.3 54.7 | Al Na-ir 19 11.2 S44 15.2
Y 9 | 315 59.0 S23 20.6 | 345 30.9 12.9 S15 03.8 7.2 54.7 | Alnilam 268 50.1 S 0 52.7
10 | 330 58.7 S23 20.6 | 0 02.9 12.9 S15 10.9 7.2 54.7 |
11 | 345 58.4 S23 20.7 | 14 34.7 12.9 S15 18.0 7.1 54.7 | Alphard 211 13.3 S11 05.4
| | | Alphecca 120 23.9 N24 51.8
12 | 0 58.1 S23 20.7 | 29 06.6 12.9 S15 25.1 7.0 54.7 | Alpheratz 350 38.9 N32 09.9
13 | 15 57.8 S23 20.8 | 43 38.5 12.9 S15 32.0 6.9 54.7 | Altair 55 29.0 N10 22.0
14 | 30 57.5 S23 20.8 | 58 10.3 12.8 S15 38.9 6.9 54.6 | Ankaa 346 32.1 S39 17.6
15 | 45 57.1 S23 20.9 | 72 42.1 12.8 S15 45.7 6.8 54.6 |
16 | 60 56.8 S23 20.9 | 87 13.9 12.8 S15 52.4 6.7 54.6 | Antares 104 04.0 S27 37.8
17 | 75 56.5 S23 20.9 | 101 45.7 12.8 S15 59.0 6.7 54.6 | Arcturus 139 42.0 N16 18.0
| | | Atria 92 59.5 S69 59.3
18 | 90 56.2 S23 21.0 | 116 17.4 12.7 S16 05.6 6.6 54.6 | Avior 231 28.3 S61 18.5
19 | 105 55.9 S23 21.0 | 130 49.2 12.7 S16 12.1 6.5 54.6 | Bellatrix 271 12.2 N 6 49.2
20 | 120 55.6 S23 21.0 | 145 20.9 12.7 S16 18.5 6.4 54.6 |
21 | 135 55.3 S23 21.1 | 159 52.6 12.7 S16 24.9 6.3 54.5 | Betelgeuse 263 37.5 N 7 28.6
22 | 150 55.0 S23 21.1 | 174 24.2 12.7 S16 31.2 6.3 54.5 | Canopus 260 52.1 S53 00.9
23 | 165 54.7 S23 21.2 | 188 55.9 12.6 S16 37.4 6.2 54.5 | Capella 270 29.0 N46 31.2
------+-------------------+----------------------------------| Castor 237 26.3 N30 38.0
20 0 | 180 54.4 S23 21.2 | 203 27.5 12.6 S16 43.5 6.1 54.5 | Deneb 44 51.6 N47 17.3
1 | 195 54.1 S23 21.2 | 217 59.1 12.6 S16 49.5 6.0 54.5 |
2 | 210 53.8 S23 21.3 | 232 30.7 12.6 S16 55.5 6.0 54.5 | Denebola 175 36.3 N11 27.5
3 | 225 53.5 S23 21.3 | 247 02.2 12.6 S17 01.3 5.9 54.5 | Diphda 342 05.0 S14 56.4
4 | 240 53.2 S23 21.3 | 261 33.8 12.5 S17 07.1 5.8 54.5 | Dubhe 185 31.5 N58 43.9
T 5 | 255 52.9 S23 21.3 | 276 05.3 12.5 S17 12.9 5.7 54.4 | Elnath 269 34.6 N29 02.2
U | | | Eltanin 87 34.9 N51 26.3
E 6 | 270 52.6 S23 21.4 | 290 36.8 12.5 S17 18.5 5.6 54.4 |
S 7 | 285 52.3 S23 21.4 | 305 08.3 12.5 S17 24.1 5.6 54.4 | Enif 27 04.9 N12 26.6
D 8 | 300 52.0 S23 21.4 | 319 39.8 12.5 S17 29.5 5.5 54.4 | Fomalhaut 7 53.0 S26 40.1
A 9 | 315 51.7 S23 21.5 | 334 11.2 12.4 S17 34.9 5.4 54.4 | Gacrux 164 23.3 S60 13.1
Y 10 | 330 51.4 S23 21.5 | 348 42.6 12.4 S17 40.2 5.3 54.4 | Gienah 168 50.3 S20 37.6
11 | 345 51.1 S23 21.5 | 3 14.0 12.4 S17 45.5 5.2 54.4 | Hadar 139 05.9 S63 01.8
| | |
12 | 0 50.8 S23 21.5 | 17 45.4 12.4 S17 50.6 5.1 54.4 | Hamal 320 17.7 N26 04.6
13 | 15 50.5 S23 21.6 | 32 16.8 12.4 S17 55.7 5.1 54.4 | Kaus Austr. 74 41.5 S34 05.0
14 | 30 50.2 S23 21.6 | 46 48.1 12.3 S18 00.6 5.0 54.3 | Kochab 137 36.0 N71 52.6
15 | 45 49.9 S23 21.6 | 61 19.5 12.3 S18 05.5 4.9 54.3 | Markab 6 50.0 N18 12.4
16 | 60 49.6 S23 21.6 | 75 50.8 12.3 S18 10.4 4.8 54.3 | Menkar 307 06.0 N 6 14.9
17 | 75 49.3 S23 21.6 | 90 22.1 12.3 S18 15.1 4.7 54.3 |
| | | Menkent 140 04.1 S39 05.2
18 | 90 49.0 S23 21.7 | 104 53.3 12.3 S18 19.7 4.6 54.3 | Miaplacidus 220 09.1 S72 00.6
19 | 105 48.7 S23 21.7 | 119 24.6 12.3 S18 24.3 4.6 54.3 | Mirfak 298 53.0 N51 48.6
20 | 120 48.4 S23 21.7 | 133 55.8 12.2 S18 28.7 4.5 54.3 | Nunki 67 31.9 S25 34.2
21 | 135 48.1 S23 21.7 | 148 27.1 12.2 S18 33.1 4.4 54.3 | Peacock 42 36.9 S54 55.1
22 | 150 47.7 S23 21.7 | 162 58.3 12.2 S18 37.4 4.3 54.3 |
23 | 165 47.4 S23 21.7 | 177 29.5 12.2 S18 41.6 4.2 54.3 | Polaris 181 20.4 N91 45.3
------+-------------------+----------------------------------| Pollux 235 07.6 N26 38.8
21 0 | 180 47.1 S23 21.8 | 192 00.6 12.2 S18 45.7 4.1 54.2 | Procyon 237 51.1 N 3 46.1
1 | 195 46.8 S23 21.8 | 206 31.8 12.2 S18 49.8 4.0 54.2 | Rasalhague 89 46.2 N12 11.1
2 | 210 46.5 S23 21.8 | 221 02.9 12.1 S18 53.7 3.9 54.2 | Regulus 200 27.9 N 9 13.9
3 | 225 46.2 S23 21.8 | 235 34.1 12.1 S18 57.6 3.9 54.2 |
4 | 240 45.9 S23 21.8 | 250 05.2 12.1 S19 01.3 3.8 54.2 | Rigel 274 37.7 S 7 35.4
W 5 | 255 45.6 S23 21.8 | 264 36.3 12.1 S19 05.0 3.7 54.2 | Rigil Kent 130 32.4 S63 06.1
E | | | Sabik 94 23.1 S16 22.7
D 6 | 270 45.3 S23 21.8 | 279 07.4 12.1 S19 08.6 3.6 54.2 | Schedar 341 52.0 N59 35.2
N 7 | 285 45.0 S23 21.8 | 293 38.4 12.1 S19 12.1 3.5 54.2 | Shaula 87 06.5 S37 28.1
E 8 | 300 44.7 S23 21.8 | 308 09.5 12.1 S19 15.5 3.4 54.2 |
S 9 | 315 44.4 S23 21.9 | 322 40.6 12.0 S19 18.8 3.3 54.2 | Sirius 252 32.3 S17 30.4
D 10 | 330 44.1 S23 21.9 | 337 11.6 12.0 S19 22.1 3.2 54.2 | Spica 151 19.2 S14 03.1
A 11 | 345 43.8 S23 21.9 | 351 42.6 12.0 S19 25.2 3.1 54.2 | Suhail 217 49.7 S45 41.5
Y | | | Vega 76 01.2 N39 19.5
12 | 0 43.5 S23 21.9 | 6 13.6 12.0 S19 28.3 3.0 54.1 | Zuben-ubi 129 45.8 S18 19.8
13 | 15 43.2 S23 21.9 | 20 44.6 12.0 S19 31.2 3.0 54.1 |
14 | 30 42.9 S23 21.9 | 35 15.6 12.0 S19 34.1 2.9 54.1 |
15 | 45 42.6 S23 21.9 | 49 46.6 12.0 S19 36.9 2.8 54.1 |
16 | 60 42.3 S23 21.9 | 64 17.6 12.0 S19 39.5 2.7 54.1 |
17 | 75 42.0 S23 21.9 | 78 48.5 12.0 S19 42.1 2.6 54.1 |
| | |
18 | 90 41.7 S23 21.9 | 93 19.5 12.0 S19 44.6 2.5 54.1 |
19 | 105 41.4 S23 21.9 | 107 50.4 11.9 S19 47.0 2.4 54.1 |
20 | 120 41.1 S23 21.9 | 122 21.3 11.9 S19 49.4 2.3 54.1 |
21 | 135 40.7 S23 21.9 | 136 52.3 11.9 S19 51.6 2.2 54.1 |
22 | 150 40.4 S23 21.9 | 151 23.2 11.9 S19 53.7 2.1 54.1 |
23 | 165 40.1 S23 21.9 | 165 54.1 11.9 S19 55.7 2.0 54.1 |
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|S.D. 16.2 d 0.0 | S.D. 14.9 14.8 14.8 |
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