
3122 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 13.6 | 157 60.0 S23 22.1 | 99 00.9 S 6 07.9 | 164 38.7 S22 39.3 | 333 10.5 N20 48.4
1 | 102 16.0 | 172 59.1 S23 21.8 | 114 01.7 S 6 07.2 | 179 40.5 S22 39.3 | 348 13.1 N20 48.4
2 | 117 18.5 | 187 58.2 S23 21.5 | 129 02.6 S 6 06.5 | 194 42.4 S22 39.3 | 3 15.8 N20 48.5
3 | 132 21.0 | 202 57.3 S23 21.1 | 144 03.4 S 6 05.7 | 209 44.2 S22 39.2 | 18 18.4 N20 48.5
4 | 147 23.4 | 217 56.3 S23 20.8 | 159 04.3 S 6 05.0 | 224 46.1 S22 39.2 | 33 21.1 N20 48.5
T 5 | 162 25.9 | 232 55.4 S23 20.5 | 174 05.2 S 6 04.2 | 239 48.0 S22 39.1 | 48 23.7 N20 48.6
U
E 6 | 177 28.3 | 247 54.5 S23 20.1 | 189 06.0 S 6 03.5 | 254 49.8 S22 39.1 | 63 26.4 N20 48.6
S 7 | 192 30.8 | 262 53.6 S23 19.8 | 204 06.9 S 6 02.7 | 269 51.7 S22 39.0 | 78 29.0 N20 48.6
D 8 | 207 33.3 | 277 52.7 S23 19.5 | 219 07.7 S 6 02.0 | 284 53.5 S22 39.0 | 93 31.6 N20 48.7
A 9 | 222 35.7 | 292 51.8 S23 19.1 | 234 08.6 S 6 01.2 | 299 55.4 S22 38.9 | 108 34.3 N20 48.7
Y 10 | 237 38.2 | 307 50.9 S23 18.8 | 249 09.4 S 6 00.5 | 314 57.3 S22 38.9 | 123 36.9 N20 48.7
11 | 252 40.7 | 322 50.0 S23 18.4 | 264 10.3 S 5 59.8 | 329 59.1 S22 38.9 | 138 39.6 N20 48.7
12 | 267 43.1 | 337 49.1 S23 18.1 | 279 11.1 S 5 59.0 | 345 01.0 S22 38.8 | 153 42.2 N20 48.8
13 | 282 45.6 | 352 48.2 S23 17.8 | 294 12.0 S 5 58.3 | 0 02.8 S22 38.8 | 168 44.9 N20 48.8
14 | 297 48.1 | 7 47.2 S23 17.4 | 309 12.9 S 5 57.5 | 15 04.7 S22 38.7 | 183 47.5 N20 48.8
15 | 312 50.5 | 22 46.3 S23 17.1 | 324 13.7 S 5 56.8 | 30 06.5 S22 38.7 | 198 50.2 N20 48.9
16 | 327 53.0 | 37 45.4 S23 16.7 | 339 14.6 S 5 56.0 | 45 08.4 S22 38.6 | 213 52.8 N20 48.9
17 | 342 55.5 | 52 44.5 S23 16.4 | 354 15.4 S 5 55.3 | 60 10.3 S22 38.6 | 228 55.5 N20 48.9
18 | 357 57.9 | 67 43.6 S23 16.0 | 9 16.3 S 5 54.5 | 75 12.1 S22 38.5 | 243 58.1 N20 49.0
19 | 13 00.4 | 82 42.7 S23 15.7 | 24 17.1 S 5 53.8 | 90 14.0 S22 38.5 | 259 00.8 N20 49.0
20 | 28 02.8 | 97 41.8 S23 15.3 | 39 18.0 S 5 53.0 | 105 15.8 S22 38.5 | 274 03.4 N20 49.0
21 | 43 05.3 | 112 40.9 S23 15.0 | 54 18.8 S 5 52.3 | 120 17.7 S22 38.4 | 289 06.1 N20 49.1
22 | 58 07.8 | 127 40.0 S23 14.6 | 69 19.7 S 5 51.5 | 135 19.6 S22 38.4 | 304 08.7 N20 49.1
23 | 73 10.2 | 142 39.1 S23 14.2 | 84 20.6 S 5 50.8 | 150 21.4 S22 38.3 | 319 11.4 N20 49.1
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20 0 | 88 12.7 | 157 38.2 S23 13.9 | 99 21.4 S 5 50.1 | 165 23.3 S22 38.3 | 334 14.0 N20 49.2
1 | 103 15.2 | 172 37.3 S23 13.5 | 114 22.3 S 5 49.3 | 180 25.1 S22 38.2 | 349 16.7 N20 49.2
2 | 118 17.6 | 187 36.4 S23 13.2 | 129 23.1 S 5 48.6 | 195 27.0 S22 38.2 | 4 19.3 N20 49.2
3 | 133 20.1 | 202 35.5 S23 12.8 | 144 24.0 S 5 47.8 | 210 28.9 S22 38.1 | 19 22.0 N20 49.2
4 | 148 22.6 | 217 34.6 S23 12.4 | 159 24.8 S 5 47.1 | 225 30.7 S22 38.1 | 34 24.6 N20 49.3
W 5 | 163 25.0 | 232 33.6 S23 12.1 | 174 25.7 S 5 46.3 | 240 32.6 S22 38.0 | 49 27.3 N20 49.3
E
D 6 | 178 27.5 | 247 32.7 S23 11.7 | 189 26.5 S 5 45.6 | 255 34.4 S22 38.0 | 64 29.9 N20 49.3
N 7 | 193 30.0 | 262 31.8 S23 11.4 | 204 27.4 S 5 44.8 | 270 36.3 S22 38.0 | 79 32.6 N20 49.4
E 8 | 208 32.4 | 277 30.9 S23 11.0 | 219 28.3 S 5 44.1 | 285 38.1 S22 37.9 | 94 35.2 N20 49.4
S 9 | 223 34.9 | 292 30.0 S23 10.6 | 234 29.1 S 5 43.3 | 300 40.0 S22 37.9 | 109 37.9 N20 49.4
D 10 | 238 37.3 | 307 29.1 S23 10.2 | 249 30.0 S 5 42.6 | 315 41.9 S22 37.8 | 124 40.5 N20 49.5
A 11 | 253 39.8 | 322 28.2 S23 09.9 | 264 30.8 S 5 41.8 | 330 43.7 S22 37.8 | 139 43.2 N20 49.5
Y
12 | 268 42.3 | 337 27.3 S23 09.5 | 279 31.7 S 5 41.1 | 345 45.6 S22 37.7 | 154 45.8 N20 49.5
13 | 283 44.7 | 352 26.4 S23 09.1 | 294 32.5 S 5 40.3 | 0 47.4 S22 37.7 | 169 48.5 N20 49.6
14 | 298 47.2 | 7 25.5 S23 08.8 | 309 33.4 S 5 39.6 | 15 49.3 S22 37.6 | 184 51.1 N20 49.6
15 | 313 49.7 | 22 24.6 S23 08.4 | 324 34.2 S 5 38.9 | 30 51.2 S22 37.6 | 199 53.8 N20 49.6
16 | 328 52.1 | 37 23.7 S23 08.0 | 339 35.1 S 5 38.1 | 45 53.0 S22 37.5 | 214 56.4 N20 49.7
17 | 343 54.6 | 52 22.8 S23 07.6 | 354 35.9 S 5 37.4 | 60 54.9 S22 37.5 | 229 59.1 N20 49.7
18 | 358 57.1 | 67 21.9 S23 07.2 | 9 36.8 S 5 36.6 | 75 56.7 S22 37.4 | 245 01.7 N20 49.7
19 | 13 59.5 | 82 21.0 S23 06.9 | 24 37.7 S 5 35.9 | 90 58.6 S22 37.4 | 260 04.4 N20 49.7
20 | 29 02.0 | 97 20.1 S23 06.5 | 39 38.5 S 5 35.1 | 106 00.4 S22 37.4 | 275 07.0 N20 49.8
21 | 44 04.4 | 112 19.2 S23 06.1 | 54 39.4 S 5 34.4 | 121 02.3 S22 37.3 | 290 09.7 N20 49.8
22 | 59 06.9 | 127 18.3 S23 05.7 | 69 40.2 S 5 33.6 | 136 04.2 S22 37.3 | 305 12.3 N20 49.8
23 | 74 09.4 | 142 17.4 S23 05.3 | 84 41.1 S 5 32.9 | 151 06.0 S22 37.2 | 320 15.0 N20 49.9
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21 0 | 89 11.8 | 157 16.5 S23 04.9 | 99 41.9 S 5 32.1 | 166 07.9 S22 37.2 | 335 17.6 N20 49.9
1 | 104 14.3 | 172 15.6 S23 04.6 | 114 42.8 S 5 31.4 | 181 09.7 S22 37.1 | 350 20.3 N20 49.9
2 | 119 16.8 | 187 14.7 S23 04.2 | 129 43.6 S 5 30.6 | 196 11.6 S22 37.1 | 5 22.9 N20 50.0
3 | 134 19.2 | 202 13.8 S23 03.8 | 144 44.5 S 5 29.9 | 211 13.4 S22 37.0 | 20 25.6 N20 50.0
4 | 149 21.7 | 217 12.9 S23 03.4 | 159 45.3 S 5 29.1 | 226 15.3 S22 37.0 | 35 28.3 N20 50.0
T 5 | 164 24.2 | 232 12.0 S23 03.0 | 174 46.2 S 5 28.4 | 241 17.2 S22 36.9 | 50 30.9 N20 50.1
H
U 6 | 179 26.6 | 247 11.1 S23 02.6 | 189 47.1 S 5 27.6 | 256 19.0 S22 36.9 | 65 33.6 N20 50.1
R 7 | 194 29.1 | 262 10.2 S23 02.2 | 204 47.9 S 5 26.9 | 271 20.9 S22 36.8 | 80 36.2 N20 50.1
S 8 | 209 31.6 | 277 09.4 S23 01.8 | 219 48.8 S 5 26.1 | 286 22.7 S22 36.8 | 95 38.9 N20 50.2
D 9 | 224 34.0 | 292 08.5 S23 01.4 | 234 49.6 S 5 25.4 | 301 24.6 S22 36.8 | 110 41.5 N20 50.2
A 10 | 239 36.5 | 307 07.6 S23 01.0 | 249 50.5 S 5 24.6 | 316 26.4 S22 36.7 | 125 44.2 N20 50.2
Y 11 | 254 38.9 | 322 06.7 S23 00.6 | 264 51.3 S 5 23.9 | 331 28.3 S22 36.7 | 140 46.8 N20 50.2
12 | 269 41.4 | 337 05.8 S23 00.2 | 279 52.2 S 5 23.1 | 346 30.2 S22 36.6 | 155 49.5 N20 50.3
13 | 284 43.9 | 352 04.9 S22 59.8 | 294 53.0 S 5 22.4 | 1 32.0 S22 36.6 | 170 52.1 N20 50.3
14 | 299 46.3 | 7 04.0 S22 59.4 | 309 53.9 S 5 21.6 | 16 33.9 S22 36.5 | 185 54.8 N20 50.3
15 | 314 48.8 | 22 03.1 S22 59.0 | 324 54.7 S 5 20.9 | 31 35.7 S22 36.5 | 200 57.4 N20 50.4
16 | 329 51.3 | 37 02.2 S22 58.6 | 339 55.6 S 5 20.1 | 46 37.6 S22 36.4 | 216 00.1 N20 50.4
17 | 344 53.7 | 52 01.3 S22 58.2 | 354 56.4 S 5 19.4 | 61 39.4 S22 36.4 | 231 02.7 N20 50.4
18 | 359 56.2 | 67 00.4 S22 57.8 | 9 57.3 S 5 18.6 | 76 41.3 S22 36.3 | 246 05.4 N20 50.5
19 | 14 58.7 | 81 59.5 S22 57.4 | 24 58.2 S 5 17.9 | 91 43.2 S22 36.3 | 261 08.0 N20 50.5
20 | 30 01.1 | 96 58.6 S22 57.0 | 39 59.0 S 5 17.1 | 106 45.0 S22 36.2 | 276 10.7 N20 50.5
21 | 45 03.6 | 111 57.7 S22 56.5 | 54 59.9 S 5 16.4 | 121 46.9 S22 36.2 | 291 13.4 N20 50.6
22 | 60 06.1 | 126 56.9 S22 56.1 | 70 00.7 S 5 15.6 | 136 48.7 S22 36.1 | 306 16.0 N20 50.6
23 | 75 08.5 | 141 56.0 S22 55.7 | 85 01.6 S 5 14.9 | 151 50.6 S22 36.1 | 321 18.7 N20 50.6
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| v -0.9 d 0.4 | v 0.9 d 0.7 | v 1.9 d 0.0 | v 2.7 d 0.0
3122 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 22.1 S23 14.5 | 206 18.7 11.7 S24 53.3 7.2 54.1 | Acamar 304 39.9 S35 51.7
1 | 196 21.8 S23 14.6 | 220 49.3 11.7 S25 00.3 7.1 54.1 | Achernar 325 00.9 S51 35.0
2 | 211 21.5 S23 14.7 | 235 19.9 11.6 S25 07.3 6.9 54.1 | Acrux 157 29.6 S69 16.7
3 | 226 21.2 S23 14.7 | 249 50.4 11.5 S25 14.1 6.8 54.1 | Adhara 244 11.0 S30 32.2
4 | 241 20.9 S23 14.8 | 264 20.9 11.4 S25 20.8 6.7 54.1 | Albireo 55 53.2 N30 21.0
T 5 | 256 20.6 S23 14.9 | 278 51.3 11.4 S25 27.4 6.6 54.1 |
U | | | Aldebaran 274 47.4 N18 41.6
E 6 | 271 20.3 S23 14.9 | 293 21.6 11.3 S25 33.9 6.5 54.1 | Alioth 154 05.2 N49 54.1
S 7 | 286 20.1 S23 15.0 | 307 51.8 11.2 S25 40.3 6.4 54.1 | Alkaid 141 57.5 N43 45.1
D 8 | 301 19.8 S23 15.1 | 322 22.0 11.2 S25 46.6 6.3 54.1 | Al Na-ir 10 15.7 S41 31.3
A 9 | 316 19.5 S23 15.1 | 336 52.1 11.1 S25 52.7 6.1 54.1 | Alnilam 261 35.1 S 0 32.8
Y 10 | 331 19.2 S23 15.2 | 351 22.2 11.0 S25 58.7 6.0 54.1 |
11 | 346 18.9 S23 15.3 | 5 52.1 11.0 S26 04.6 5.9 54.1 | Alphard 204 12.1 S13 32.2
| | | Alphecca 114 19.7 N22 59.5
12 | 1 18.6 S23 15.3 | 20 22.1 10.9 S26 10.4 5.8 54.2 | Alpheratz 343 15.0 N35 15.7
13 | 16 18.3 S23 15.4 | 34 51.9 10.9 S26 16.1 5.7 54.2 | Altair 48 30.8 N11 52.3
14 | 31 18.0 S23 15.5 | 49 21.7 10.8 S26 21.6 5.5 54.2 | Ankaa 339 29.6 S36 15.1
15 | 46 17.7 S23 15.5 | 63 51.4 10.7 S26 27.0 5.4 54.2 |
16 | 61 17.4 S23 15.6 | 78 21.1 10.7 S26 32.3 5.3 54.2 | Antares 95 19.3 S28 50.8
17 | 76 17.2 S23 15.6 | 92 50.7 10.6 S26 37.5 5.2 54.2 | Arcturus 133 10.2 N13 23.3
| | | Atria 77 55.6 S70 57.8
18 | 91 16.9 S23 15.7 | 107 20.3 10.5 S26 42.5 5.0 54.2 | Avior 228 28.8 S63 07.3
19 | 106 16.6 S23 15.8 | 121 49.8 10.5 S26 47.5 4.9 54.2 | Bellatrix 263 32.8 N 7 18.0
20 | 121 16.3 S23 15.8 | 136 19.2 10.4 S26 52.3 4.8 54.2 |
21 | 136 16.0 S23 15.9 | 150 48.6 10.4 S26 56.9 4.7 54.2 | Betelgeuse 255 53.9 N 7 33.2
22 | 151 15.7 S23 15.9 | 165 17.9 10.3 S27 01.5 4.5 54.2 | Canopus 257 37.4 S53 19.9
23 | 166 15.4 S23 16.0 | 179 47.1 10.3 S27 05.9 4.4 54.2 | Capella 259 58.6 N47 03.0
------+-------------------+----------------------------------| Castor 228 22.3 N29 22.4
20 0 | 181 15.1 S23 16.0 | 194 16.3 10.2 S27 10.2 4.3 54.2 | Deneb 39 57.1 N49 18.4
1 | 196 14.8 S23 16.1 | 208 45.5 10.1 S27 14.3 4.2 54.3 |
2 | 211 14.5 S23 16.1 | 223 14.6 10.1 S27 18.3 4.0 54.3 | Denebola 168 19.8 N 8 19.2
3 | 226 14.2 S23 16.2 | 237 43.6 10.0 S27 22.2 3.9 54.3 | Diphda 334 55.1 S11 52.0
4 | 241 13.9 S23 16.2 | 252 12.6 10.0 S27 26.0 3.8 54.3 | Dubhe 176 49.0 N55 41.6
W 5 | 256 13.7 S23 16.3 | 266 41.6 9.9 S27 29.6 3.6 54.3 | Elnath 260 34.4 N29 28.6
E | | | Eltanin 84 11.7 N51 23.0
D 6 | 271 13.4 S23 16.3 | 281 10.5 9.9 S27 33.1 3.5 54.3 |
N 7 | 286 13.1 S23 16.4 | 295 39.3 9.8 S27 36.5 3.4 54.3 | Enif 20 04.0 N15 01.8
E 8 | 301 12.8 S23 16.4 | 310 08.1 9.8 S27 39.7 3.2 54.3 | Fomalhaut 0 01.5 S23 41.2
S 9 | 316 12.5 S23 16.5 | 324 36.9 9.8 S27 42.8 3.1 54.3 | Gacrux 156 25.6 S63 21.4
D 10 | 331 12.2 S23 16.5 | 339 05.6 9.7 S27 45.7 3.0 54.3 | Gienah 161 29.1 S23 44.4
A 11 | 346 11.9 S23 16.6 | 353 34.2 9.7 S27 48.6 2.8 54.4 | Hadar 128 59.2 S65 43.1
Y | | |
12 | 1 11.6 S23 16.6 | 8 02.9 9.6 S27 51.2 2.7 54.4 | Hamal 312 14.3 N28 42.8
13 | 16 11.3 S23 16.7 | 22 31.4 9.6 S27 53.8 2.5 54.4 | Kaus Austr. 65 15.4 S33 47.1
14 | 31 11.0 S23 16.7 | 36 60.0 9.5 S27 56.2 2.4 54.4 | Kochab 137 45.8 N69 34.7
15 | 46 10.7 S23 16.7 | 51 28.5 9.5 S27 58.5 2.3 54.4 | Markab 359 42.7 N21 14.0
16 | 61 10.4 S23 16.8 | 65 57.0 9.5 S28 00.6 2.1 54.4 | Menkar 299 37.7 N 8 25.8
17 | 76 10.1 S23 16.8 | 80 25.4 9.4 S28 02.6 2.0 54.4 |
| | | Menkent 131 39.3 S41 49.9
18 | 91 09.9 S23 16.9 | 94 53.8 9.4 S28 04.4 1.9 54.4 | Miaplacidus 218 31.8 S74 19.4
19 | 106 09.6 S23 16.9 | 109 22.1 9.4 S28 06.1 1.7 54.4 | Mirfak 288 41.4 N53 46.6
20 | 121 09.3 S23 16.9 | 123 50.5 9.3 S28 07.7 1.6 54.5 | Nunki 58 42.7 S24 50.5
21 | 136 09.0 S23 17.0 | 138 18.8 9.3 S28 09.1 1.4 54.5 | Peacock 31 26.9 S53 05.2
22 | 151 08.7 S23 17.0 | 152 47.1 9.3 S28 10.4 1.3 54.5 |
23 | 166 08.4 S23 17.0 | 167 15.3 9.2 S28 11.6 1.1 54.5 | Polaris 39 21.3 N94 17.2
------+-------------------+----------------------------------| Pollux 226 25.7 N25 15.7
21 0 | 181 08.1 S23 17.1 | 181 43.5 9.2 S28 12.6 1.0 54.5 | Procyon 230 23.3 N 2 18.2
1 | 196 07.8 S23 17.1 | 196 11.7 9.2 S28 13.4 0.9 54.5 | Rasalhague 83 07.7 N11 48.0
2 | 211 07.5 S23 17.1 | 210 39.9 9.2 S28 14.2 0.7 54.5 | Regulus 192 52.7 N 6 28.5
3 | 226 07.2 S23 17.2 | 225 08.0 9.1 S28 14.7 0.6 54.5 |
4 | 241 06.9 S23 17.2 | 239 36.2 9.1 S28 15.2 0.4 54.6 | Rigel 267 45.2 S 6 58.0
T 5 | 256 06.6 S23 17.2 | 254 04.3 9.1 S28 15.5 0.3 54.6 | Rigil Kent 120 49.0 S65 23.8
H | | | Sabik 86 12.3 S17 02.6
U 6 | 271 06.3 S23 17.3 | 268 32.3 9.1 S28 15.6 0.1 54.6 | Schedar 333 43.2 N62 39.5
R 7 | 286 06.0 S23 17.3 | 283 00.4 9.1 S28 15.6 0.0 54.6 | Shaula 77 26.8 S37 50.5
S 8 | 301 05.8 S23 17.3 | 297 28.5 9.1 S28 15.5 0.1 54.6 |
D 9 | 316 05.5 S23 17.3 | 311 56.5 9.0 S28 15.2 0.3 54.6 | Sirius 246 13.9 S18 18.0
A 10 | 331 05.2 S23 17.4 | 326 24.6 9.0 S28 14.8 0.4 54.6 | Spica 143 47.3 S16 58.2
Y 11 | 346 04.9 S23 17.4 | 340 52.6 9.0 S28 14.2 0.6 54.6 | Suhail 212 32.2 S47 58.2
| | | Vega 71 08.5 N39 51.8
12 | 1 04.6 S23 17.4 | 355 20.6 9.0 S28 13.5 0.7 54.7 | Zuben-ubi 122 05.4 S20 38.5
13 | 16 04.3 S23 17.4 | 9 48.6 9.0 S28 12.6 0.9 54.7 |
14 | 31 04.0 S23 17.5 | 24 16.6 9.0 S28 11.6 1.0 54.7 |
15 | 46 03.7 S23 17.5 | 38 44.6 9.0 S28 10.4 1.2 54.7 |
16 | 61 03.4 S23 17.5 | 53 12.6 9.0 S28 09.1 1.3 54.7 |
17 | 76 03.1 S23 17.5 | 67 40.6 9.0 S28 07.7 1.4 54.7 |
| | |
18 | 91 02.8 S23 17.6 | 82 08.6 9.0 S28 06.1 1.6 54.7 |
19 | 106 02.5 S23 17.6 | 96 36.5 9.0 S28 04.4 1.7 54.7 |
20 | 121 02.2 S23 17.6 | 111 04.5 9.0 S28 02.5 1.9 54.8 |
21 | 136 01.9 S23 17.6 | 125 32.5 9.0 S28 00.5 2.0 54.8 |
22 | 151 01.6 S23 17.6 | 140 00.5 9.0 S27 58.3 2.2 54.8 |
23 | 166 01.3 S23 17.6 | 154 28.5 9.0 S27 56.0 2.3 54.8 |
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|S.D. 16.2 d 0.0 | S.D. 14.8 14.8 14.9 |
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