
2784 DEC. 23, 24, 25 (SUN, MON, TUE)
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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 | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
23 0 | 91 59.2 | 220 54.3 S16 21.8 | 277 25.3 N 5 06.2 | 330 37.7 N20 22.6 | 159 04.7 S21 22.9
1 | 107 01.7 | 235 53.7 S16 22.5 | 292 26.9 N 5 05.9 | 345 40.5 N20 22.7 | 174 06.8 S21 22.9
2 | 122 04.2 | 250 53.1 S16 23.3 | 307 28.5 N 5 05.6 | 0 43.2 N20 22.7 | 189 09.0 S21 22.8
3 | 137 06.6 | 265 52.6 S16 24.1 | 322 30.2 N 5 05.3 | 15 45.9 N20 22.8 | 204 11.2 S21 22.8
4 | 152 09.1 | 280 52.0 S16 24.9 | 337 31.8 N 5 05.0 | 30 48.7 N20 22.9 | 219 13.3 S21 22.7
S 5 | 167 11.6 | 295 51.4 S16 25.7 | 352 33.4 N 5 04.7 | 45 51.4 N20 22.9 | 234 15.5 S21 22.7
U
N 6 | 182 14.0 | 310 50.8 S16 26.4 | 7 35.0 N 5 04.5 | 60 54.2 N20 23.0 | 249 17.6 S21 22.7
D 7 | 197 16.5 | 325 50.3 S16 27.2 | 22 36.6 N 5 04.2 | 75 56.9 N20 23.0 | 264 19.8 S21 22.6
A 8 | 212 19.0 | 340 49.7 S16 28.0 | 37 38.3 N 5 03.9 | 90 59.6 N20 23.1 | 279 22.0 S21 22.6
Y 9 | 227 21.4 | 355 49.1 S16 28.8 | 52 39.9 N 5 03.6 | 106 02.4 N20 23.2 | 294 24.1 S21 22.5
10 | 242 23.9 | 10 48.5 S16 29.5 | 67 41.5 N 5 03.3 | 121 05.1 N20 23.2 | 309 26.3 S21 22.5
11 | 257 26.3 | 25 47.9 S16 30.3 | 82 43.1 N 5 03.0 | 136 07.9 N20 23.3 | 324 28.5 S21 22.5
12 | 272 28.8 | 40 47.4 S16 31.1 | 97 44.8 N 5 02.7 | 151 10.6 N20 23.4 | 339 30.6 S21 22.4
13 | 287 31.3 | 55 46.8 S16 31.9 | 112 46.4 N 5 02.4 | 166 13.4 N20 23.4 | 354 32.8 S21 22.4
14 | 302 33.7 | 70 46.2 S16 32.6 | 127 48.0 N 5 02.1 | 181 16.1 N20 23.5 | 9 34.9 S21 22.3
15 | 317 36.2 | 85 45.6 S16 33.4 | 142 49.6 N 5 01.8 | 196 18.8 N20 23.5 | 24 37.1 S21 22.3
16 | 332 38.7 | 100 45.0 S16 34.2 | 157 51.3 N 5 01.5 | 211 21.6 N20 23.6 | 39 39.3 S21 22.3
17 | 347 41.1 | 115 44.5 S16 35.0 | 172 52.9 N 5 01.2 | 226 24.3 N20 23.7 | 54 41.4 S21 22.2
18 | 2 43.6 | 130 43.9 S16 35.7 | 187 54.5 N 5 00.9 | 241 27.1 N20 23.7 | 69 43.6 S21 22.2
19 | 17 46.1 | 145 43.3 S16 36.5 | 202 56.1 N 5 00.6 | 256 29.8 N20 23.8 | 84 45.7 S21 22.1
20 | 32 48.5 | 160 42.7 S16 37.3 | 217 57.8 N 5 00.3 | 271 32.6 N20 23.8 | 99 47.9 S21 22.1
21 | 47 51.0 | 175 42.1 S16 38.0 | 232 59.4 N 5 00.0 | 286 35.3 N20 23.9 | 114 50.1 S21 22.1
22 | 62 53.5 | 190 41.5 S16 38.8 | 248 01.0 N 4 59.7 | 301 38.1 N20 24.0 | 129 52.2 S21 22.0
23 | 77 55.9 | 205 40.9 S16 39.6 | 263 02.7 N 4 59.5 | 316 40.8 N20 24.0 | 144 54.4 S21 22.0
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24 0 | 92 58.4 | 220 40.4 S16 40.3 | 278 04.3 N 4 59.2 | 331 43.6 N20 24.1 | 159 56.5 S21 21.9
1 | 108 00.8 | 235 39.8 S16 41.1 | 293 05.9 N 4 58.9 | 346 46.3 N20 24.2 | 174 58.7 S21 21.9
2 | 123 03.3 | 250 39.2 S16 41.9 | 308 07.6 N 4 58.6 | 1 49.0 N20 24.2 | 190 00.9 S21 21.8
3 | 138 05.8 | 265 38.6 S16 42.6 | 323 09.2 N 4 58.3 | 16 51.8 N20 24.3 | 205 03.0 S21 21.8
4 | 153 08.2 | 280 38.0 S16 43.4 | 338 10.8 N 4 58.0 | 31 54.5 N20 24.3 | 220 05.2 S21 21.8
M 5 | 168 10.7 | 295 37.4 S16 44.2 | 353 12.5 N 4 57.7 | 46 57.3 N20 24.4 | 235 07.3 S21 21.7
O
N 6 | 183 13.2 | 310 36.8 S16 44.9 | 8 14.1 N 4 57.4 | 62 00.0 N20 24.5 | 250 09.5 S21 21.7
D 7 | 198 15.6 | 325 36.2 S16 45.7 | 23 15.7 N 4 57.1 | 77 02.8 N20 24.5 | 265 11.7 S21 21.6
A 8 | 213 18.1 | 340 35.6 S16 46.4 | 38 17.4 N 4 56.8 | 92 05.5 N20 24.6 | 280 13.8 S21 21.6
Y 9 | 228 20.6 | 355 35.1 S16 47.2 | 53 19.0 N 4 56.6 | 107 08.3 N20 24.7 | 295 16.0 S21 21.6
10 | 243 23.0 | 10 34.5 S16 48.0 | 68 20.6 N 4 56.3 | 122 11.0 N20 24.7 | 310 18.2 S21 21.5
11 | 258 25.5 | 25 33.9 S16 48.7 | 83 22.3 N 4 56.0 | 137 13.8 N20 24.8 | 325 20.3 S21 21.5
12 | 273 27.9 | 40 33.3 S16 49.5 | 98 23.9 N 4 55.7 | 152 16.5 N20 24.8 | 340 22.5 S21 21.4
13 | 288 30.4 | 55 32.7 S16 50.2 | 113 25.6 N 4 55.4 | 167 19.3 N20 24.9 | 355 24.6 S21 21.4
14 | 303 32.9 | 70 32.1 S16 51.0 | 128 27.2 N 4 55.1 | 182 22.0 N20 25.0 | 10 26.8 S21 21.4
15 | 318 35.3 | 85 31.5 S16 51.8 | 143 28.8 N 4 54.8 | 197 24.8 N20 25.0 | 25 29.0 S21 21.3
16 | 333 37.8 | 100 30.9 S16 52.5 | 158 30.5 N 4 54.5 | 212 27.5 N20 25.1 | 40 31.1 S21 21.3
17 | 348 40.3 | 115 30.3 S16 53.3 | 173 32.1 N 4 54.3 | 227 30.3 N20 25.2 | 55 33.3 S21 21.2
18 | 3 42.7 | 130 29.7 S16 54.0 | 188 33.8 N 4 54.0 | 242 33.0 N20 25.2 | 70 35.4 S21 21.2
19 | 18 45.2 | 145 29.1 S16 54.8 | 203 35.4 N 4 53.7 | 257 35.8 N20 25.3 | 85 37.6 S21 21.2
20 | 33 47.7 | 160 28.5 S16 55.5 | 218 37.1 N 4 53.4 | 272 38.5 N20 25.3 | 100 39.8 S21 21.1
21 | 48 50.1 | 175 27.9 S16 56.3 | 233 38.7 N 4 53.1 | 287 41.3 N20 25.4 | 115 41.9 S21 21.1
22 | 63 52.6 | 190 27.3 S16 57.0 | 248 40.3 N 4 52.8 | 302 44.0 N20 25.5 | 130 44.1 S21 21.0
23 | 78 55.1 | 205 26.7 S16 57.8 | 263 42.0 N 4 52.5 | 317 46.8 N20 25.5 | 145 46.2 S21 21.0
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25 0 | 93 57.5 | 220 26.1 S16 58.5 | 278 43.6 N 4 52.3 | 332 49.5 N20 25.6 | 160 48.4 S21 20.9
1 | 108 60.0 | 235 25.5 S16 59.3 | 293 45.3 N 4 52.0 | 347 52.3 N20 25.7 | 175 50.6 S21 20.9
2 | 124 02.4 | 250 24.9 S17 00.0 | 308 46.9 N 4 51.7 | 2 55.0 N20 25.7 | 190 52.7 S21 20.9
3 | 139 04.9 | 265 24.3 S17 00.8 | 323 48.6 N 4 51.4 | 17 57.8 N20 25.8 | 205 54.9 S21 20.8
4 | 154 07.4 | 280 23.7 S17 01.5 | 338 50.2 N 4 51.1 | 33 00.5 N20 25.8 | 220 57.0 S21 20.8
T 5 | 169 09.8 | 295 23.1 S17 02.3 | 353 51.9 N 4 50.8 | 48 03.3 N20 25.9 | 235 59.2 S21 20.7
U
E 6 | 184 12.3 | 310 22.5 S17 03.0 | 8 53.5 N 4 50.5 | 63 06.1 N20 26.0 | 251 01.3 S21 20.7
S 7 | 199 14.8 | 325 21.9 S17 03.8 | 23 55.2 N 4 50.3 | 78 08.8 N20 26.0 | 266 03.5 S21 20.7
D 8 | 214 17.2 | 340 21.3 S17 04.5 | 38 56.8 N 4 50.0 | 93 11.6 N20 26.1 | 281 05.7 S21 20.6
A 9 | 229 19.7 | 355 20.7 S17 05.3 | 53 58.5 N 4 49.7 | 108 14.3 N20 26.2 | 296 07.8 S21 20.6
Y 10 | 244 22.2 | 10 20.1 S17 06.0 | 69 00.1 N 4 49.4 | 123 17.1 N20 26.2 | 311 10.0 S21 20.5
11 | 259 24.6 | 25 19.5 S17 06.8 | 84 01.8 N 4 49.1 | 138 19.8 N20 26.3 | 326 12.1 S21 20.5
12 | 274 27.1 | 40 18.9 S17 07.5 | 99 03.4 N 4 48.9 | 153 22.6 N20 26.3 | 341 14.3 S21 20.4
13 | 289 29.6 | 55 18.3 S17 08.2 | 114 05.1 N 4 48.6 | 168 25.3 N20 26.4 | 356 16.5 S21 20.4
14 | 304 32.0 | 70 17.7 S17 09.0 | 129 06.7 N 4 48.3 | 183 28.1 N20 26.5 | 11 18.6 S21 20.4
15 | 319 34.5 | 85 17.1 S17 09.7 | 144 08.4 N 4 48.0 | 198 30.8 N20 26.5 | 26 20.8 S21 20.3
16 | 334 36.9 | 100 16.5 S17 10.5 | 159 10.1 N 4 47.7 | 213 33.6 N20 26.6 | 41 22.9 S21 20.3
17 | 349 39.4 | 115 15.9 S17 11.2 | 174 11.7 N 4 47.5 | 228 36.4 N20 26.7 | 56 25.1 S21 20.2
18 | 4 41.9 | 130 15.2 S17 11.9 | 189 13.4 N 4 47.2 | 243 39.1 N20 26.7 | 71 27.3 S21 20.2
19 | 19 44.3 | 145 14.6 S17 12.7 | 204 15.0 N 4 46.9 | 258 41.9 N20 26.8 | 86 29.4 S21 20.2
20 | 34 46.8 | 160 14.0 S17 13.4 | 219 16.7 N 4 46.6 | 273 44.6 N20 26.9 | 101 31.6 S21 20.1
21 | 49 49.3 | 175 13.4 S17 14.1 | 234 18.3 N 4 46.3 | 288 47.4 N20 26.9 | 116 33.7 S21 20.1
22 | 64 51.7 | 190 12.8 S17 14.9 | 249 20.0 N 4 46.1 | 303 50.1 N20 27.0 | 131 35.9 S21 20.0
23 | 79 54.2 | 205 12.2 S17 15.6 | 264 21.7 N 4 45.8 | 318 52.9 N20 27.0 | 146 38.1 S21 20.0
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| v -0.6 d 0.8 | v 1.6 d 0.3 | v 2.7 d 0.1 | v 2.2 d 0.0
2784 DEC. 23, 24, 25 (SUN, MON, TUE)
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| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
23 0 | 180 39.1 S23 20.0 | 308 35.5 12.9 N19 44.7 8.9 54.6 | Acamar 307 55.9 S37 11.9
1 | 195 38.8 S23 19.9 | 323 07.5 13.0 N19 35.7 9.0 54.5 | Achernar 328 13.1 S53 16.9
2 | 210 38.5 S23 19.9 | 337 39.5 13.1 N19 26.7 9.1 54.5 | Acrux 162 17.3 S67 25.3
3 | 225 38.2 S23 19.9 | 352 11.7 13.1 N19 17.5 9.1 54.5 | Adhara 247 34.0 S30 04.0
4 | 240 37.9 S23 19.9 | 6 43.9 13.2 N19 08.3 9.2 54.5 | Albireo 59 21.4 N29 37.9
S 5 | 255 37.6 S23 19.8 | 21 16.2 13.3 N18 59.0 9.3 54.5 |
U | | | Aldebaran 279 41.7 N18 02.3
N 6 | 270 37.3 S23 19.8 | 35 48.5 13.4 N18 49.7 9.4 54.5 | Alioth 157 50.8 N51 43.2
D 7 | 285 37.0 S23 19.8 | 50 21.0 13.4 N18 40.2 9.4 54.5 | Alkaid 145 20.6 N45 25.2
A 8 | 300 36.7 S23 19.7 | 64 53.5 13.5 N18 30.7 9.5 54.5 | Al Na-ir 15 36.4 S43 09.4
Y 9 | 315 36.4 S23 19.7 | 79 26.0 13.6 N18 21.1 9.6 54.4 | Alnilam 265 55.8 S 0 44.7
10 | 330 36.1 S23 19.7 | 93 58.7 13.6 N18 11.4 9.7 54.4 |
11 | 345 35.8 S23 19.7 | 108 31.4 13.7 N18 01.7 9.7 54.4 | Alphard 208 24.5 S12 04.4
| | | Alphecca 117 58.0 N24 06.5
12 | 0 35.5 S23 19.6 | 123 04.2 13.8 N17 51.9 9.8 54.4 | Alpheratz 347 41.0 N33 24.6
13 | 15 35.2 S23 19.6 | 137 37.0 13.9 N17 42.0 9.9 54.4 | Altair 52 41.4 N10 58.2
14 | 30 34.9 S23 19.6 | 152 10.0 13.9 N17 32.1 9.9 54.4 | Ankaa 343 42.8 S38 04.2
15 | 45 34.6 S23 19.5 | 166 42.9 14.0 N17 22.1 10.0 54.4 |
16 | 60 34.3 S23 19.5 | 181 16.0 14.1 N17 12.0 10.1 54.4 | Antares 100 33.6 S28 07.2
17 | 75 34.0 S23 19.4 | 195 49.1 14.1 N17 01.9 10.1 54.4 | Arcturus 137 05.0 N15 07.7
| | | Atria 86 56.6 S70 22.9
18 | 90 33.7 S23 19.4 | 210 22.3 14.2 N16 51.6 10.2 54.4 | Avior 230 16.8 S62 02.2
19 | 105 33.4 S23 19.4 | 224 55.6 14.3 N16 41.4 10.3 54.3 | Bellatrix 268 08.0 N 7 00.8
20 | 120 33.1 S23 19.3 | 239 28.9 14.3 N16 31.0 10.3 54.3 |
21 | 135 32.8 S23 19.3 | 254 02.3 14.4 N16 20.6 10.4 54.3 | Betelgeuse 260 31.7 N 7 30.5
22 | 150 32.5 S23 19.3 | 268 35.7 14.4 N16 10.2 10.5 54.3 | Canopus 259 34.4 S53 08.5
23 | 165 32.2 S23 19.2 | 283 09.3 14.5 N15 59.6 10.5 54.3 | Capella 266 16.1 N46 44.0
------+-------------------+----------------------------------| Castor 233 48.1 N30 07.6
24 0 | 180 31.9 S23 19.2 | 297 42.8 14.6 N15 49.0 10.6 54.3 | Deneb 42 53.9 N48 05.9
1 | 195 31.6 S23 19.1 | 312 16.5 14.6 N15 38.4 10.6 54.3 |
2 | 210 31.3 S23 19.1 | 326 50.2 14.7 N15 27.7 10.7 54.3 | Denebola 172 41.3 N10 11.8
3 | 225 31.0 S23 19.0 | 341 23.9 14.8 N15 16.9 10.8 54.3 | Diphda 339 12.8 S13 42.2
4 | 240 30.7 S23 19.0 | 355 57.7 14.8 N15 06.1 10.8 54.3 | Dubhe 182 01.8 N57 30.6
M 5 | 255 30.4 S23 18.9 | 10 31.6 14.9 N14 55.2 10.9 54.3 | Elnath 265 58.0 N29 12.9
O | | | Eltanin 86 13.8 N51 24.9
N 6 | 270 30.1 S23 18.9 | 25 05.5 14.9 N14 44.3 10.9 54.3 |
D 7 | 285 29.8 S23 18.8 | 39 39.5 15.0 N14 33.3 11.0 54.2 | Enif 24 16.3 N13 29.0
A 8 | 300 29.5 S23 18.8 | 54 13.6 15.0 N14 22.3 11.0 54.2 | Fomalhaut 4 44.0 S25 28.2
Y 9 | 315 29.2 S23 18.7 | 68 47.7 15.1 N14 11.2 11.1 54.2 | Gacrux 161 11.9 S61 28.9
10 | 330 28.9 S23 18.7 | 83 21.8 15.2 N14 00.0 11.1 54.2 | Gienah 165 53.5 S21 52.8
11 | 345 28.6 S23 18.6 | 97 56.0 15.2 N13 48.8 11.2 54.2 | Hadar 135 02.6 S64 06.7
| | |
12 | 0 28.3 S23 18.6 | 112 30.3 15.3 N13 37.6 11.2 54.2 | Hamal 317 04.0 N27 08.3
13 | 15 28.0 S23 18.5 | 127 04.6 15.3 N13 26.3 11.3 54.2 | Kaus Austr. 70 54.5 S33 57.9
14 | 30 27.7 S23 18.5 | 141 39.0 15.4 N13 14.9 11.3 54.2 | Kochab 137 40.3 N70 57.1
15 | 45 27.4 S23 18.4 | 156 13.4 15.4 N13 03.5 11.4 54.2 | Markab 3 58.8 N19 25.4
16 | 60 27.1 S23 18.4 | 170 47.8 15.5 N12 52.1 11.4 54.2 | Menkar 304 06.4 N 7 07.6
17 | 75 26.8 S23 18.3 | 185 22.4 15.5 N12 40.6 11.5 54.2 |
| | | Menkent 136 41.7 S40 11.5
18 | 90 26.5 S23 18.3 | 199 56.9 15.6 N12 29.1 11.5 54.2 | Miaplacidus 219 30.7 S72 56.4
19 | 105 26.2 S23 18.2 | 214 31.5 15.6 N12 17.5 11.6 54.2 | Mirfak 294 47.8 N52 36.1
20 | 120 25.9 S23 18.1 | 229 06.2 15.7 N12 05.8 11.6 54.2 | Nunki 63 59.7 S25 16.7
21 | 135 25.6 S23 18.1 | 243 40.9 15.7 N11 54.2 11.7 54.2 | Peacock 38 08.0 S54 10.9
22 | 150 25.3 S23 18.0 | 258 15.6 15.7 N11 42.5 11.7 54.2 |
23 | 165 25.0 S23 18.0 | 272 50.4 15.8 N11 30.7 11.8 54.2 | Polaris 124 21.0 N92 46.4
------+-------------------+----------------------------------| Pollux 231 38.3 N26 05.5
25 0 | 180 24.7 S23 17.9 | 287 25.2 15.8 N11 18.9 11.8 54.2 | Procyon 234 51.6 N 3 10.8
1 | 195 24.4 S23 17.8 | 302 00.1 15.9 N11 07.0 11.8 54.2 | Rasalhague 87 06.6 N12 01.7
2 | 210 24.1 S23 17.8 | 316 35.0 15.9 N10 55.2 11.9 54.2 | Regulus 197 25.4 N 8 07.4
3 | 225 23.8 S23 17.7 | 331 09.9 15.9 N10 43.2 11.9 54.2 |
4 | 240 23.5 S23 17.7 | 345 44.9 16.0 N10 31.3 12.0 54.2 | Rigel 271 52.4 S 7 20.3
T 5 | 255 23.2 S23 17.6 | 0 19.9 16.0 N10 19.3 12.0 54.2 | Rigil Kent 126 38.4 S64 01.5
U | | | Sabik 91 06.3 S16 38.8
E 6 | 270 22.9 S23 17.5 | 14 55.0 16.1 N10 07.2 12.0 54.2 | Schedar 338 36.2 N60 49.3
S 7 | 285 22.6 S23 17.5 | 29 30.1 16.1 N 9 55.2 12.1 54.2 | Shaula 83 14.0 S37 37.2
D 8 | 300 22.3 S23 17.4 | 44 05.2 16.1 N 9 43.0 12.1 54.2 |
A 9 | 315 22.0 S23 17.3 | 58 40.4 16.2 N 9 30.9 12.2 54.2 | Sirius 250 00.7 S17 49.5
Y 10 | 330 21.7 S23 17.2 | 73 15.6 16.2 N 9 18.7 12.2 54.2 | Spica 148 18.1 S15 13.6
11 | 345 21.4 S23 17.2 | 87 50.8 16.2 N 9 06.5 12.2 54.2 | Suhail 215 42.6 S46 36.5
| | | Vega 74 04.1 N39 32.4
12 | 0 21.1 S23 17.1 | 102 26.0 16.3 N 8 54.2 12.3 54.2 | Zuben-ubi 126 41.2 S19 15.6
13 | 15 20.8 S23 17.0 | 117 01.3 16.3 N 8 41.9 12.3 54.2 |
14 | 30 20.5 S23 17.0 | 131 36.6 16.3 N 8 29.6 12.3 54.2 |
15 | 45 20.2 S23 16.9 | 146 12.0 16.3 N 8 17.3 12.4 54.2 |
16 | 60 19.9 S23 16.8 | 160 47.3 16.4 N 8 04.9 12.4 54.2 |
17 | 75 19.6 S23 16.7 | 175 22.7 16.4 N 7 52.5 12.4 54.2 |
| | |
18 | 90 19.3 S23 16.7 | 189 58.1 16.4 N 7 40.0 12.4 54.2 |
19 | 105 19.0 S23 16.6 | 204 33.6 16.4 N 7 27.5 12.5 54.2 |
20 | 120 18.7 S23 16.5 | 219 09.0 16.5 N 7 15.0 12.5 54.2 |
21 | 135 18.4 S23 16.4 | 233 44.5 16.5 N 7 02.5 12.5 54.2 |
22 | 150 18.1 S23 16.3 | 248 20.0 16.5 N 6 49.9 12.6 54.2 |
23 | 165 17.8 S23 16.3 | 262 55.5 16.5 N 6 37.4 12.6 54.2 |
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|S.D. 16.2 d 0.1 | S.D. 14.8 14.8 14.8 |
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