
2350 DEC. 19, 20, 21 (TUE, WED, THU)
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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 09.1 | 141 00.9 S21 20.2 | 220 59.9 S16 43.8 | 199 31.8 S21 07.2 | 74 30.9 N 2 39.0
1 | 102 11.5 | 156 00.2 S21 19.5 | 236 00.8 S16 44.3 | 214 33.6 S21 07.3 | 89 33.3 N 2 39.1
2 | 117 14.0 | 170 59.5 S21 18.8 | 251 01.6 S16 44.7 | 229 35.5 S21 07.3 | 104 35.8 N 2 39.1
3 | 132 16.5 | 185 58.8 S21 18.1 | 266 02.4 S16 45.2 | 244 37.4 S21 07.4 | 119 38.3 N 2 39.1
4 | 147 18.9 | 200 58.1 S21 17.4 | 281 03.2 S16 45.7 | 259 39.3 S21 07.5 | 134 40.7 N 2 39.1
T 5 | 162 21.4 | 215 57.4 S21 16.6 | 296 04.0 S16 46.2 | 274 41.2 S21 07.6 | 149 43.2 N 2 39.1
U
E 6 | 177 23.9 | 230 56.7 S21 15.9 | 311 04.9 S16 46.6 | 289 43.1 S21 07.7 | 164 45.6 N 2 39.1
S 7 | 192 26.3 | 245 55.9 S21 15.2 | 326 05.7 S16 47.1 | 304 45.0 S21 07.8 | 179 48.1 N 2 39.2
D 8 | 207 28.8 | 260 55.2 S21 14.5 | 341 06.5 S16 47.6 | 319 46.9 S21 07.8 | 194 50.5 N 2 39.2
A 9 | 222 31.3 | 275 54.5 S21 13.8 | 356 07.3 S16 48.0 | 334 48.7 S21 07.9 | 209 53.0 N 2 39.2
Y 10 | 237 33.7 | 290 53.8 S21 13.1 | 11 08.1 S16 48.5 | 349 50.6 S21 08.0 | 224 55.4 N 2 39.2
11 | 252 36.2 | 305 53.1 S21 12.3 | 26 09.0 S16 49.0 | 4 52.5 S21 08.1 | 239 57.9 N 2 39.2
12 | 267 38.6 | 320 52.4 S21 11.6 | 41 09.8 S16 49.4 | 19 54.4 S21 08.2 | 255 00.4 N 2 39.2
13 | 282 41.1 | 335 51.7 S21 10.9 | 56 10.6 S16 49.9 | 34 56.3 S21 08.3 | 270 02.8 N 2 39.2
14 | 297 43.6 | 350 51.0 S21 10.2 | 71 11.4 S16 50.4 | 49 58.2 S21 08.3 | 285 05.3 N 2 39.3
15 | 312 46.0 | 5 50.3 S21 09.5 | 86 12.2 S16 50.9 | 65 00.1 S21 08.4 | 300 07.7 N 2 39.3
16 | 327 48.5 | 20 49.6 S21 08.7 | 101 13.0 S16 51.3 | 80 02.0 S21 08.5 | 315 10.2 N 2 39.3
17 | 342 51.0 | 35 48.9 S21 08.0 | 116 13.9 S16 51.8 | 95 03.8 S21 08.6 | 330 12.6 N 2 39.3
18 | 357 53.4 | 50 48.2 S21 07.3 | 131 14.7 S16 52.3 | 110 05.7 S21 08.7 | 345 15.1 N 2 39.3
19 | 12 55.9 | 65 47.6 S21 06.6 | 146 15.5 S16 52.7 | 125 07.6 S21 08.8 | 0 17.5 N 2 39.3
20 | 27 58.4 | 80 46.9 S21 05.8 | 161 16.3 S16 53.2 | 140 09.5 S21 08.8 | 15 20.0 N 2 39.4
21 | 43 00.8 | 95 46.2 S21 05.1 | 176 17.1 S16 53.7 | 155 11.4 S21 08.9 | 30 22.4 N 2 39.4
22 | 58 03.3 | 110 45.5 S21 04.4 | 191 17.9 S16 54.1 | 170 13.3 S21 09.0 | 45 24.9 N 2 39.4
23 | 73 05.8 | 125 44.8 S21 03.7 | 206 18.8 S16 54.6 | 185 15.2 S21 09.1 | 60 27.3 N 2 39.4
------+----------+-------------------+-------------------+-------------------+--------------------
20 0 | 88 08.2 | 140 44.1 S21 02.9 | 221 19.6 S16 55.1 | 200 17.1 S21 09.2 | 75 29.8 N 2 39.4
1 | 103 10.7 | 155 43.4 S21 02.2 | 236 20.4 S16 55.5 | 215 19.0 S21 09.3 | 90 32.3 N 2 39.4
2 | 118 13.1 | 170 42.7 S21 01.5 | 251 21.2 S16 56.0 | 230 20.8 S21 09.3 | 105 34.7 N 2 39.5
3 | 133 15.6 | 185 42.0 S21 00.7 | 266 22.0 S16 56.5 | 245 22.7 S21 09.4 | 120 37.2 N 2 39.5
4 | 148 18.1 | 200 41.3 S20 60.0 | 281 22.8 S16 56.9 | 260 24.6 S21 09.5 | 135 39.6 N 2 39.5
W 5 | 163 20.5 | 215 40.6 S20 59.3 | 296 23.6 S16 57.4 | 275 26.5 S21 09.6 | 150 42.1 N 2 39.5
E
D 6 | 178 23.0 | 230 39.9 S20 58.5 | 311 24.5 S16 57.9 | 290 28.4 S21 09.7 | 165 44.5 N 2 39.5
N 7 | 193 25.5 | 245 39.2 S20 57.8 | 326 25.3 S16 58.3 | 305 30.3 S21 09.8 | 180 47.0 N 2 39.5
E 8 | 208 27.9 | 260 38.6 S20 57.0 | 341 26.1 S16 58.8 | 320 32.2 S21 09.8 | 195 49.4 N 2 39.6
S 9 | 223 30.4 | 275 37.9 S20 56.3 | 356 26.9 S16 59.3 | 335 34.1 S21 09.9 | 210 51.9 N 2 39.6
D 10 | 238 32.9 | 290 37.2 S20 55.6 | 11 27.7 S16 59.7 | 350 36.0 S21 10.0 | 225 54.3 N 2 39.6
A 11 | 253 35.3 | 305 36.5 S20 54.8 | 26 28.5 S17 00.2 | 5 37.8 S21 10.1 | 240 56.8 N 2 39.6
Y
12 | 268 37.8 | 320 35.8 S20 54.1 | 41 29.3 S17 00.6 | 20 39.7 S21 10.2 | 255 59.2 N 2 39.6
13 | 283 40.3 | 335 35.1 S20 53.3 | 56 30.2 S17 01.1 | 35 41.6 S21 10.2 | 271 01.7 N 2 39.6
14 | 298 42.7 | 350 34.4 S20 52.6 | 71 31.0 S17 01.6 | 50 43.5 S21 10.3 | 286 04.1 N 2 39.7
15 | 313 45.2 | 5 33.8 S20 51.8 | 86 31.8 S17 02.0 | 65 45.4 S21 10.4 | 301 06.6 N 2 39.7
16 | 328 47.6 | 20 33.1 S20 51.1 | 101 32.6 S17 02.5 | 80 47.3 S21 10.5 | 316 09.0 N 2 39.7
17 | 343 50.1 | 35 32.4 S20 50.3 | 116 33.4 S17 03.0 | 95 49.2 S21 10.6 | 331 11.5 N 2 39.7
18 | 358 52.6 | 50 31.7 S20 49.6 | 131 34.2 S17 03.4 | 110 51.1 S21 10.7 | 346 13.9 N 2 39.7
19 | 13 55.0 | 65 31.0 S20 48.8 | 146 35.0 S17 03.9 | 125 53.0 S21 10.7 | 1 16.4 N 2 39.7
20 | 28 57.5 | 80 30.3 S20 48.1 | 161 35.9 S17 04.3 | 140 54.8 S21 10.8 | 16 18.8 N 2 39.8
21 | 43 60.0 | 95 29.7 S20 47.3 | 176 36.7 S17 04.8 | 155 56.7 S21 10.9 | 31 21.3 N 2 39.8
22 | 59 02.4 | 110 29.0 S20 46.6 | 191 37.5 S17 05.3 | 170 58.6 S21 11.0 | 46 23.7 N 2 39.8
23 | 74 04.9 | 125 28.3 S20 45.8 | 206 38.3 S17 05.7 | 186 00.5 S21 11.1 | 61 26.2 N 2 39.8
------+----------+-------------------+-------------------+-------------------+--------------------
21 0 | 89 07.4 | 140 27.6 S20 45.1 | 221 39.1 S17 06.2 | 201 02.4 S21 11.2 | 76 28.6 N 2 39.8
1 | 104 09.8 | 155 27.0 S20 44.3 | 236 39.9 S17 06.7 | 216 04.3 S21 11.2 | 91 31.1 N 2 39.9
2 | 119 12.3 | 170 26.3 S20 43.6 | 251 40.7 S17 07.1 | 231 06.2 S21 11.3 | 106 33.5 N 2 39.9
3 | 134 14.7 | 185 25.6 S20 42.8 | 266 41.5 S17 07.6 | 246 08.1 S21 11.4 | 121 36.0 N 2 39.9
4 | 149 17.2 | 200 24.9 S20 42.1 | 281 42.4 S17 08.0 | 261 10.0 S21 11.5 | 136 38.4 N 2 39.9
T 5 | 164 19.7 | 215 24.2 S20 41.3 | 296 43.2 S17 08.5 | 276 11.8 S21 11.6 | 151 40.9 N 2 39.9
H
U 6 | 179 22.1 | 230 23.6 S20 40.5 | 311 44.0 S17 09.0 | 291 13.7 S21 11.6 | 166 43.3 N 2 40.0
R 7 | 194 24.6 | 245 22.9 S20 39.8 | 326 44.8 S17 09.4 | 306 15.6 S21 11.7 | 181 45.8 N 2 40.0
S 8 | 209 27.1 | 260 22.2 S20 39.0 | 341 45.6 S17 09.9 | 321 17.5 S21 11.8 | 196 48.2 N 2 40.0
D 9 | 224 29.5 | 275 21.6 S20 38.2 | 356 46.4 S17 10.3 | 336 19.4 S21 11.9 | 211 50.6 N 2 40.0
A 10 | 239 32.0 | 290 20.9 S20 37.5 | 11 47.2 S17 10.8 | 351 21.3 S21 12.0 | 226 53.1 N 2 40.0
Y 11 | 254 34.5 | 305 20.2 S20 36.7 | 26 48.0 S17 11.3 | 6 23.2 S21 12.0 | 241 55.5 N 2 40.0
12 | 269 36.9 | 320 19.5 S20 35.9 | 41 48.8 S17 11.7 | 21 25.1 S21 12.1 | 256 58.0 N 2 40.1
13 | 284 39.4 | 335 18.9 S20 35.2 | 56 49.6 S17 12.2 | 36 27.0 S21 12.2 | 272 00.4 N 2 40.1
14 | 299 41.9 | 350 18.2 S20 34.4 | 71 50.5 S17 12.6 | 51 28.9 S21 12.3 | 287 02.9 N 2 40.1
15 | 314 44.3 | 5 17.5 S20 33.6 | 86 51.3 S17 13.1 | 66 30.7 S21 12.4 | 302 05.3 N 2 40.1
16 | 329 46.8 | 20 16.9 S20 32.9 | 101 52.1 S17 13.6 | 81 32.6 S21 12.5 | 317 07.8 N 2 40.1
17 | 344 49.2 | 35 16.2 S20 32.1 | 116 52.9 S17 14.0 | 96 34.5 S21 12.5 | 332 10.2 N 2 40.2
18 | 359 51.7 | 50 15.5 S20 31.3 | 131 53.7 S17 14.5 | 111 36.4 S21 12.6 | 347 12.7 N 2 40.2
19 | 14 54.2 | 65 14.9 S20 30.5 | 146 54.5 S17 14.9 | 126 38.3 S21 12.7 | 2 15.1 N 2 40.2
20 | 29 56.6 | 80 14.2 S20 29.8 | 161 55.3 S17 15.4 | 141 40.2 S21 12.8 | 17 17.6 N 2 40.2
21 | 44 59.1 | 95 13.5 S20 29.0 | 176 56.1 S17 15.8 | 156 42.1 S21 12.9 | 32 20.0 N 2 40.2
22 | 60 01.6 | 110 12.9 S20 28.2 | 191 56.9 S17 16.3 | 171 44.0 S21 12.9 | 47 22.4 N 2 40.3
23 | 75 04.0 | 125 12.2 S20 27.4 | 206 57.7 S17 16.8 | 186 45.9 S21 13.0 | 62 24.9 N 2 40.3
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| v -0.7 d 0.7 | v 0.8 d 0.5 | v 1.9 d 0.1 | v 2.5 d 0.0
2350 DEC. 19, 20, 21 (TUE, WED, THU)
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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 20.6 | 310 36.5 13.7 N13 04.2 6.7 54.2 | Acamar 312 05.5 S38 55.0
1 | 196 01.4 S23 20.7 | 325 09.3 13.8 N12 57.5 6.7 54.2 | Achernar 332 17.9 S55 28.1
2 | 211 01.1 S23 20.7 | 339 42.1 13.8 N12 50.7 6.8 54.2 | Acrux 168 24.5 S65 01.9
3 | 226 00.8 S23 20.8 | 354 14.9 13.8 N12 43.9 6.8 54.2 | Adhara 251 52.5 S29 27.9
4 | 241 00.5 S23 20.9 | 8 47.8 13.9 N12 37.0 6.9 54.2 | Albireo 63 46.4 N28 42.8
T 5 | 256 00.2 S23 20.9 | 23 20.7 13.9 N12 30.1 6.9 54.2 |
U | | | Aldebaran 285 57.7 N17 11.5
E 6 | 270 59.9 S23 21.0 | 37 53.7 14.0 N12 23.1 7.0 54.2 | Alioth 162 38.7 N54 03.5
S 7 | 285 59.6 S23 21.0 | 52 26.7 14.0 N12 16.0 7.0 54.2 | Alkaid 149 39.5 N47 34.1
D 8 | 300 59.3 S23 21.1 | 66 59.7 14.0 N12 09.0 7.1 54.2 | Al Na-ir 22 26.4 S45 15.4
A 9 | 315 59.0 S23 21.2 | 81 32.7 14.1 N12 01.8 7.1 54.2 | Alnilam 271 28.5 S 0 60.0
Y 10 | 330 58.7 S23 21.2 | 96 05.8 14.1 N11 54.6 7.2 54.2 |
11 | 345 58.4 S23 21.3 | 110 39.0 14.1 N11 47.4 7.2 54.2 | Alphard 213 46.6 S10 11.4
| | | Alphecca 122 36.4 N25 32.9
12 | 0 58.1 S23 21.3 | 125 12.1 14.2 N11 40.1 7.3 54.2 | Alpheratz 353 20.5 N31 01.7
13 | 15 57.8 S23 21.4 | 139 45.3 14.2 N11 32.8 7.3 54.2 | Altair 58 01.2 N 9 48.8
14 | 30 57.5 S23 21.5 | 154 18.5 14.2 N11 25.4 7.4 54.2 | Ankaa 349 05.8 S40 24.6
15 | 45 57.2 S23 21.5 | 168 51.8 14.2 N11 18.0 7.4 54.2 |
16 | 60 56.9 S23 21.6 | 183 25.0 14.3 N11 10.5 7.5 54.2 | Antares 107 15.3 S27 11.1
17 | 75 56.6 S23 21.6 | 197 58.3 14.3 N11 03.0 7.5 54.1 | Arcturus 142 04.5 N17 22.0
| | | Atria 98 30.0 S69 37.8
18 | 90 56.3 S23 21.7 | 212 31.7 14.3 N10 55.4 7.6 54.1 | Avior 232 33.0 S60 38.6
19 | 105 56.0 S23 21.7 | 227 05.1 14.4 N10 47.8 7.6 54.1 | Bellatrix 273 59.5 N 6 38.6
20 | 120 55.7 S23 21.8 | 241 38.5 14.4 N10 40.2 7.6 54.1 |
21 | 135 55.4 S23 21.8 | 256 11.9 14.4 N10 32.5 7.7 54.1 | Betelgeuse 266 26.3 N 7 27.0
22 | 150 55.1 S23 21.9 | 270 45.3 14.5 N10 24.8 7.7 54.1 | Canopus 262 02.3 S52 53.9
23 | 165 54.8 S23 21.9 | 285 18.8 14.5 N10 17.0 7.8 54.1 | Capella 274 19.1 N46 19.5
------+-------------------+----------------------------------| Castor 240 44.7 N31 05.7
20 0 | 180 54.5 S23 22.0 | 299 52.3 14.5 N10 09.2 7.8 54.1 | Deneb 46 38.5 N46 32.8
1 | 195 54.2 S23 22.0 | 314 25.9 14.5 N10 01.3 7.9 54.1 |
2 | 210 53.9 S23 22.1 | 328 59.4 14.6 N 9 53.4 7.9 54.1 | Denebola 178 15.3 N12 36.6
3 | 225 53.6 S23 22.1 | 343 33.0 14.6 N 9 45.5 7.9 54.1 | Diphda 344 41.5 S16 04.1
4 | 240 53.3 S23 22.2 | 358 06.6 14.6 N 9 37.5 8.0 54.1 | Dubhe 188 42.0 N59 50.8
W 5 | 255 53.0 S23 22.2 | 12 40.2 14.6 N 9 29.5 8.0 54.1 | Elnath 272 51.6 N28 52.6
E | | | Eltanin 88 48.3 N51 27.5
D 6 | 270 52.6 S23 22.3 | 27 13.9 14.7 N 9 21.4 8.1 54.1 |
N 7 | 285 52.3 S23 22.3 | 41 47.6 14.7 N 9 13.3 8.1 54.1 | Enif 29 38.2 N11 29.7
E 8 | 300 52.0 S23 22.4 | 56 21.3 14.7 N 9 05.2 8.1 54.1 | Fomalhaut 10 44.8 S27 45.7
S 9 | 315 51.7 S23 22.4 | 70 55.0 14.7 N 8 57.0 8.2 54.1 | Gacrux 167 17.5 S59 04.0
D 10 | 330 51.4 S23 22.4 | 85 28.7 14.7 N 8 48.8 8.2 54.1 | Gienah 171 31.0 S19 29.0
A 11 | 345 51.1 S23 22.5 | 100 02.5 14.8 N 8 40.5 8.2 54.2 | Hadar 142 47.4 S62 02.7
Y | | |
12 | 0 50.8 S23 22.5 | 114 36.3 14.8 N 8 32.3 8.3 54.2 | Hamal 323 13.9 N25 06.5
13 | 15 50.5 S23 22.6 | 129 10.1 14.8 N 8 23.9 8.3 54.2 | Kaus Austr. 78 08.1 S34 11.6
14 | 30 50.2 S23 22.6 | 143 43.9 14.8 N 8 15.6 8.4 54.2 | Kochab 137 31.0 N72 43.2
15 | 45 49.9 S23 22.6 | 158 17.8 14.8 N 8 07.2 8.4 54.2 | Markab 9 25.5 N17 05.8
16 | 60 49.6 S23 22.7 | 172 51.6 14.9 N 7 58.8 8.4 54.2 | Menkar 309 49.3 N 5 26.9
17 | 75 49.3 S23 22.7 | 187 25.5 14.9 N 7 50.3 8.5 54.2 |
| | | Menkent 143 08.2 S38 04.8
18 | 90 49.0 S23 22.7 | 201 59.4 14.9 N 7 41.9 8.5 54.2 | Miaplacidus 220 43.7 S71 09.7
19 | 105 48.7 S23 22.8 | 216 33.3 14.9 N 7 33.3 8.5 54.2 | Mirfak 302 36.3 N51 05.3
20 | 120 48.4 S23 22.8 | 231 07.3 14.9 N 7 24.8 8.5 54.2 | Nunki 70 44.8 S25 50.2
21 | 135 48.1 S23 22.8 | 245 41.2 14.9 N 7 16.2 8.6 54.2 | Peacock 46 41.5 S55 35.4
22 | 150 47.8 S23 22.9 | 260 15.2 15.0 N 7 07.6 8.6 54.2 |
23 | 165 47.5 S23 22.9 | 274 49.1 15.0 N 6 59.0 8.6 54.2 | Polaris 233 28.1 N90 49.6
------+-------------------+----------------------------------| Pollux 238 17.8 N27 09.3
21 0 | 180 47.2 S23 22.9 | 289 23.1 15.0 N 6 50.3 8.7 54.2 | Procyon 240 34.2 N 4 18.4
1 | 195 46.9 S23 23.0 | 303 57.1 15.0 N 6 41.6 8.7 54.2 | Rasalhague 92 11.2 N12 19.5
2 | 210 46.6 S23 23.0 | 318 31.1 15.0 N 6 32.9 8.7 54.2 | Regulus 203 13.7 N10 14.6
3 | 225 46.2 S23 23.0 | 333 05.1 15.0 N 6 24.1 8.8 54.2 |
4 | 240 45.9 S23 23.0 | 347 39.2 15.0 N 6 15.3 8.8 54.2 | Rigel 277 07.8 S 7 49.1
T 5 | 255 45.6 S23 23.1 | 2 13.2 15.0 N 6 06.5 8.8 54.2 | Rigil Kent 134 05.3 S62 15.7
H | | | Sabik 97 21.9 S16 08.1
U 6 | 270 45.3 S23 23.1 | 16 47.2 15.0 N 5 57.7 8.8 54.3 | Schedar 344 50.2 N58 27.6
R 7 | 285 45.0 S23 23.1 | 31 21.3 15.1 N 5 48.8 8.9 54.3 | Shaula 90 38.0 S37 19.9
S 8 | 300 44.7 S23 23.1 | 45 55.3 15.1 N 5 39.9 8.9 54.3 |
D 9 | 315 44.4 S23 23.2 | 60 29.4 15.1 N 5 31.0 8.9 54.3 | Sirius 254 49.9 S17 12.9
A 10 | 330 44.1 S23 23.2 | 75 03.5 15.1 N 5 22.1 8.9 54.3 | Spica 154 03.8 S12 58.8
Y 11 | 345 43.8 S23 23.2 | 89 37.6 15.1 N 5 13.1 9.0 54.3 | Suhail 219 45.0 S44 51.3
| | | Vega 77 47.3 N39 07.6
12 | 0 43.5 S23 23.2 | 104 11.7 15.1 N 5 04.1 9.0 54.3 | Zuben-ubi 132 33.5 S17 28.9
13 | 15 43.2 S23 23.2 | 118 45.7 15.1 N 4 55.1 9.0 54.3 |
14 | 30 42.9 S23 23.3 | 133 19.8 15.1 N 4 46.1 9.0 54.3 |
15 | 45 42.6 S23 23.3 | 147 53.9 15.1 N 4 37.0 9.1 54.3 |
16 | 60 42.3 S23 23.3 | 162 28.0 15.1 N 4 27.9 9.1 54.4 |
17 | 75 42.0 S23 23.3 | 177 02.1 15.1 N 4 18.8 9.1 54.4 |
| | |
18 | 90 41.7 S23 23.3 | 191 36.2 15.1 N 4 09.7 9.1 54.4 |
19 | 105 41.4 S23 23.3 | 206 10.3 15.1 N 4 00.6 9.1 54.4 |
20 | 120 41.0 S23 23.3 | 220 44.4 15.1 N 3 51.4 9.2 54.4 |
21 | 135 40.7 S23 23.4 | 235 18.5 15.1 N 3 42.2 9.2 54.4 |
22 | 150 40.4 S23 23.4 | 249 52.6 15.1 N 3 33.0 9.2 54.4 |
23 | 165 40.1 S23 23.4 | 264 26.7 15.1 N 3 23.8 9.2 54.4 |
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|S.D. 16.3 d 0.0 | S.D. 14.8 14.8 14.8 |
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