
2848 DEC. 20, 21, 22 (SUN, MON, TUE)
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| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
20 0 | 89 32.1 | 217 33.8 S16 46.3 | 267 35.5 N 1 35.3 | 200 09.6 S21 15.7 | 101 51.9 S 7 16.6
1 | 104 34.6 | 232 33.1 S16 47.1 | 282 36.9 N 1 34.9 | 215 11.5 S21 15.8 | 116 54.2 S 7 16.5
2 | 119 37.1 | 247 32.5 S16 47.9 | 297 38.3 N 1 34.5 | 230 13.4 S21 15.8 | 131 56.5 S 7 16.4
3 | 134 39.5 | 262 31.9 S16 48.6 | 312 39.8 N 1 34.1 | 245 15.3 S21 15.9 | 146 58.9 S 7 16.4
4 | 149 42.0 | 277 31.3 S16 49.4 | 327 41.2 N 1 33.7 | 260 17.2 S21 16.0 | 162 01.2 S 7 16.3
S 5 | 164 44.5 | 292 30.7 S16 50.2 | 342 42.6 N 1 33.3 | 275 19.0 S21 16.1 | 177 03.5 S 7 16.3
U
N 6 | 179 46.9 | 307 30.0 S16 51.0 | 357 44.1 N 1 32.9 | 290 20.9 S21 16.1 | 192 05.9 S 7 16.2
D 7 | 194 49.4 | 322 29.4 S16 51.8 | 12 45.5 N 1 32.5 | 305 22.8 S21 16.2 | 207 08.2 S 7 16.2
A 8 | 209 51.8 | 337 28.8 S16 52.6 | 27 46.9 N 1 32.1 | 320 24.7 S21 16.3 | 222 10.6 S 7 16.1
Y 9 | 224 54.3 | 352 28.2 S16 53.3 | 42 48.4 N 1 31.7 | 335 26.6 S21 16.4 | 237 12.9 S 7 16.0
10 | 239 56.8 | 7 27.5 S16 54.1 | 57 49.8 N 1 31.3 | 350 28.5 S21 16.4 | 252 15.2 S 7 16.0
11 | 254 59.2 | 22 26.9 S16 54.9 | 72 51.2 N 1 30.9 | 5 30.4 S21 16.5 | 267 17.6 S 7 15.9
12 | 270 01.7 | 37 26.3 S16 55.7 | 87 52.7 N 1 30.5 | 20 32.3 S21 16.6 | 282 19.9 S 7 15.9
13 | 285 04.2 | 52 25.6 S16 56.4 | 102 54.1 N 1 30.2 | 35 34.2 S21 16.7 | 297 22.3 S 7 15.8
14 | 300 06.6 | 67 25.0 S16 57.2 | 117 55.5 N 1 29.8 | 50 36.1 S21 16.7 | 312 24.6 S 7 15.7
15 | 315 09.1 | 82 24.4 S16 58.0 | 132 57.0 N 1 29.4 | 65 38.0 S21 16.8 | 327 26.9 S 7 15.7
16 | 330 11.6 | 97 23.8 S16 58.8 | 147 58.4 N 1 29.0 | 80 39.9 S21 16.9 | 342 29.3 S 7 15.6
17 | 345 14.0 | 112 23.1 S16 59.5 | 162 59.9 N 1 28.6 | 95 41.7 S21 17.0 | 357 31.6 S 7 15.6
18 | 0 16.5 | 127 22.5 S17 00.3 | 178 01.3 N 1 28.2 | 110 43.6 S21 17.0 | 12 33.9 S 7 15.5
19 | 15 18.9 | 142 21.9 S17 01.1 | 193 02.7 N 1 27.8 | 125 45.5 S21 17.1 | 27 36.3 S 7 15.5
20 | 30 21.4 | 157 21.2 S17 01.9 | 208 04.2 N 1 27.4 | 140 47.4 S21 17.2 | 42 38.6 S 7 15.4
21 | 45 23.9 | 172 20.6 S17 02.6 | 223 05.6 N 1 27.0 | 155 49.3 S21 17.3 | 57 41.0 S 7 15.3
22 | 60 26.3 | 187 20.0 S17 03.4 | 238 07.1 N 1 26.6 | 170 51.2 S21 17.4 | 72 43.3 S 7 15.3
23 | 75 28.8 | 202 19.3 S17 04.2 | 253 08.5 N 1 26.2 | 185 53.1 S21 17.4 | 87 45.6 S 7 15.2
------+----------+-------------------+-------------------+-------------------+--------------------
21 0 | 90 31.3 | 217 18.7 S17 04.9 | 268 09.9 N 1 25.8 | 200 55.0 S21 17.5 | 102 48.0 S 7 15.2
1 | 105 33.7 | 232 18.1 S17 05.7 | 283 11.4 N 1 25.4 | 215 56.9 S21 17.6 | 117 50.3 S 7 15.1
2 | 120 36.2 | 247 17.4 S17 06.5 | 298 12.8 N 1 25.0 | 230 58.8 S21 17.7 | 132 52.6 S 7 15.0
3 | 135 38.7 | 262 16.8 S17 07.2 | 313 14.3 N 1 24.6 | 246 00.7 S21 17.7 | 147 55.0 S 7 15.0
4 | 150 41.1 | 277 16.2 S17 08.0 | 328 15.7 N 1 24.2 | 261 02.6 S21 17.8 | 162 57.3 S 7 14.9
M 5 | 165 43.6 | 292 15.5 S17 08.8 | 343 17.1 N 1 23.8 | 276 04.5 S21 17.9 | 177 59.7 S 7 14.9
O
N 6 | 180 46.1 | 307 14.9 S17 09.5 | 358 18.6 N 1 23.4 | 291 06.3 S21 18.0 | 193 02.0 S 7 14.8
D 7 | 195 48.5 | 322 14.3 S17 10.3 | 13 20.0 N 1 23.0 | 306 08.2 S21 18.0 | 208 04.3 S 7 14.7
A 8 | 210 51.0 | 337 13.6 S17 11.1 | 28 21.5 N 1 22.6 | 321 10.1 S21 18.1 | 223 06.7 S 7 14.7
Y 9 | 225 53.4 | 352 13.0 S17 11.8 | 43 22.9 N 1 22.2 | 336 12.0 S21 18.2 | 238 09.0 S 7 14.6
10 | 240 55.9 | 7 12.3 S17 12.6 | 58 24.4 N 1 21.8 | 351 13.9 S21 18.3 | 253 11.3 S 7 14.6
11 | 255 58.4 | 22 11.7 S17 13.4 | 73 25.8 N 1 21.4 | 6 15.8 S21 18.3 | 268 13.7 S 7 14.5
12 | 271 00.8 | 37 11.1 S17 14.1 | 88 27.3 N 1 21.0 | 21 17.7 S21 18.4 | 283 16.0 S 7 14.4
13 | 286 03.3 | 52 10.4 S17 14.9 | 103 28.7 N 1 20.7 | 36 19.6 S21 18.5 | 298 18.3 S 7 14.4
14 | 301 05.8 | 67 09.8 S17 15.6 | 118 30.1 N 1 20.3 | 51 21.5 S21 18.6 | 313 20.7 S 7 14.3
15 | 316 08.2 | 82 09.1 S17 16.4 | 133 31.6 N 1 19.9 | 66 23.4 S21 18.6 | 328 23.0 S 7 14.3
16 | 331 10.7 | 97 08.5 S17 17.2 | 148 33.0 N 1 19.5 | 81 25.3 S21 18.7 | 343 25.3 S 7 14.2
17 | 346 13.2 | 112 07.9 S17 17.9 | 163 34.5 N 1 19.1 | 96 27.2 S21 18.8 | 358 27.7 S 7 14.1
18 | 1 15.6 | 127 07.2 S17 18.7 | 178 35.9 N 1 18.7 | 111 29.1 S21 18.9 | 13 30.0 S 7 14.1
19 | 16 18.1 | 142 06.6 S17 19.4 | 193 37.4 N 1 18.3 | 126 31.0 S21 18.9 | 28 32.3 S 7 14.0
20 | 31 20.6 | 157 05.9 S17 20.2 | 208 38.8 N 1 17.9 | 141 32.8 S21 19.0 | 43 34.7 S 7 14.0
21 | 46 23.0 | 172 05.3 S17 20.9 | 223 40.3 N 1 17.5 | 156 34.7 S21 19.1 | 58 37.0 S 7 13.9
22 | 61 25.5 | 187 04.6 S17 21.7 | 238 41.7 N 1 17.1 | 171 36.6 S21 19.2 | 73 39.3 S 7 13.8
23 | 76 27.9 | 202 04.0 S17 22.4 | 253 43.2 N 1 16.7 | 186 38.5 S21 19.2 | 88 41.7 S 7 13.8
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22 0 | 91 30.4 | 217 03.4 S17 23.2 | 268 44.6 N 1 16.3 | 201 40.4 S21 19.3 | 103 44.0 S 7 13.7
1 | 106 32.9 | 232 02.7 S17 23.9 | 283 46.1 N 1 15.9 | 216 42.3 S21 19.4 | 118 46.3 S 7 13.7
2 | 121 35.3 | 247 02.1 S17 24.7 | 298 47.5 N 1 15.6 | 231 44.2 S21 19.5 | 133 48.7 S 7 13.6
3 | 136 37.8 | 262 01.4 S17 25.4 | 313 49.0 N 1 15.2 | 246 46.1 S21 19.5 | 148 51.0 S 7 13.5
4 | 151 40.3 | 277 00.8 S17 26.2 | 328 50.4 N 1 14.8 | 261 48.0 S21 19.6 | 163 53.3 S 7 13.5
T 5 | 166 42.7 | 292 00.1 S17 26.9 | 343 51.9 N 1 14.4 | 276 49.9 S21 19.7 | 178 55.7 S 7 13.4
U
E 6 | 181 45.2 | 306 59.5 S17 27.7 | 358 53.3 N 1 14.0 | 291 51.8 S21 19.7 | 193 58.0 S 7 13.4
S 7 | 196 47.7 | 321 58.8 S17 28.4 | 13 54.8 N 1 13.6 | 306 53.7 S21 19.8 | 209 00.3 S 7 13.3
D 8 | 211 50.1 | 336 58.2 S17 29.2 | 28 56.2 N 1 13.2 | 321 55.6 S21 19.9 | 224 02.7 S 7 13.2
A 9 | 226 52.6 | 351 57.5 S17 29.9 | 43 57.7 N 1 12.8 | 336 57.5 S21 20.0 | 239 05.0 S 7 13.2
Y 10 | 241 55.0 | 6 56.9 S17 30.7 | 58 59.1 N 1 12.4 | 351 59.4 S21 20.0 | 254 07.3 S 7 13.1
11 | 256 57.5 | 21 56.2 S17 31.4 | 74 00.6 N 1 12.0 | 7 01.3 S21 20.1 | 269 09.7 S 7 13.1
12 | 271 60.0 | 36 55.6 S17 32.2 | 89 02.1 N 1 11.7 | 22 03.1 S21 20.2 | 284 12.0 S 7 13.0
13 | 287 02.4 | 51 54.9 S17 32.9 | 104 03.5 N 1 11.3 | 37 05.0 S21 20.3 | 299 14.3 S 7 12.9
14 | 302 04.9 | 66 54.3 S17 33.6 | 119 05.0 N 1 10.9 | 52 06.9 S21 20.3 | 314 16.7 S 7 12.9
15 | 317 07.4 | 81 53.6 S17 34.4 | 134 06.4 N 1 10.5 | 67 08.8 S21 20.4 | 329 19.0 S 7 12.8
16 | 332 09.8 | 96 53.0 S17 35.1 | 149 07.9 N 1 10.1 | 82 10.7 S21 20.5 | 344 21.3 S 7 12.7
17 | 347 12.3 | 111 52.3 S17 35.9 | 164 09.3 N 1 09.7 | 97 12.6 S21 20.6 | 359 23.6 S 7 12.7
18 | 2 14.8 | 126 51.6 S17 36.6 | 179 10.8 N 1 09.3 | 112 14.5 S21 20.6 | 14 26.0 S 7 12.6
19 | 17 17.2 | 141 51.0 S17 37.3 | 194 12.3 N 1 08.9 | 127 16.4 S21 20.7 | 29 28.3 S 7 12.6
20 | 32 19.7 | 156 50.3 S17 38.1 | 209 13.7 N 1 08.5 | 142 18.3 S21 20.8 | 44 30.6 S 7 12.5
21 | 47 22.2 | 171 49.7 S17 38.8 | 224 15.2 N 1 08.2 | 157 20.2 S21 20.9 | 59 33.0 S 7 12.4
22 | 62 24.6 | 186 49.0 S17 39.5 | 239 16.6 N 1 07.8 | 172 22.1 S21 20.9 | 74 35.3 S 7 12.4
23 | 77 27.1 | 201 48.4 S17 40.3 | 254 18.1 N 1 07.4 | 187 24.0 S21 21.0 | 89 37.6 S 7 12.3
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| v -0.6 d 0.8 | v 1.4 d 0.4 | v 1.9 d 0.1 | v 2.3 d 0.1
2848 DEC. 20, 21, 22 (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 | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
20 0 | 180 58.3 S23 19.3 | 144 05.0 13.0 S15 57.8 9.2 55.1 | Acamar 307 18.6 S36 56.6
1 | 195 58.0 S23 19.4 | 158 36.9 13.0 S15 48.6 9.3 55.1 | Achernar 327 36.6 S52 57.5
2 | 210 57.7 S23 19.4 | 173 08.9 13.0 S15 39.2 9.3 55.1 | Acrux 161 22.2 S67 46.6
3 | 225 57.4 S23 19.4 | 187 41.0 13.0 S15 29.8 9.4 55.1 | Adhara 246 55.3 S30 09.5
4 | 240 57.1 S23 19.4 | 202 13.1 13.1 S15 20.4 9.5 55.2 | Albireo 58 41.7 N29 46.3
S 5 | 255 56.8 S23 19.4 | 216 45.2 13.1 S15 10.8 9.6 55.2 |
U | | | Aldebaran 278 45.6 N18 09.7
N 6 | 270 56.5 S23 19.5 | 231 17.3 13.1 S15 01.2 9.6 55.2 | Alioth 157 08.0 N51 22.3
D 7 | 285 56.2 S23 19.5 | 245 49.4 13.2 S14 51.5 9.7 55.2 | Alkaid 144 42.0 N45 06.1
A 8 | 300 55.9 S23 19.5 | 260 21.6 13.2 S14 41.7 9.8 55.2 | Al Na-ir 14 35.3 S42 50.6
Y 9 | 315 55.6 S23 19.5 | 274 53.8 13.2 S14 31.9 9.8 55.2 | Alnilam 265 06.1 S 0 42.5
10 | 330 55.3 S23 19.5 | 289 26.1 13.2 S14 22.0 9.9 55.3 |
11 | 345 55.0 S23 19.6 | 303 58.3 13.3 S14 12.0 10.0 55.3 | Alphard 207 36.4 S12 21.3
| | | Alphecca 117 16.4 N23 53.8
12 | 0 54.7 S23 19.6 | 318 30.6 13.3 S14 01.9 10.1 55.3 | Alpheratz 346 50.2 N33 45.8
13 | 15 54.4 S23 19.6 | 333 02.9 13.3 S13 51.8 10.1 55.3 | Altair 51 53.6 N11 08.6
14 | 30 54.1 S23 19.6 | 347 35.3 13.3 S13 41.6 10.2 55.3 | Ankaa 342 54.6 S37 43.3
15 | 45 53.8 S23 19.6 | 2 07.6 13.4 S13 31.4 10.3 55.4 |
16 | 60 53.5 S23 19.6 | 16 40.0 13.4 S13 21.0 10.3 55.4 | Antares 99 33.6 S28 15.5
17 | 75 53.2 S23 19.6 | 31 12.4 13.4 S13 10.7 10.4 55.4 | Arcturus 136 20.3 N14 47.8
| | | Atria 85 13.2 S70 29.5
18 | 90 52.9 S23 19.7 | 45 44.9 13.4 S13 00.2 10.5 55.4 | Avior 229 56.2 S62 14.8
19 | 105 52.6 S23 19.7 | 60 17.3 13.5 S12 49.7 10.5 55.4 | Bellatrix 267 15.5 N 7 04.0
20 | 120 52.3 S23 19.7 | 74 49.8 13.5 S12 39.1 10.6 55.5 |
21 | 135 52.0 S23 19.7 | 89 22.3 13.5 S12 28.5 10.6 55.5 | Betelgeuse 259 38.7 N 7 30.9
22 | 150 51.7 S23 19.7 | 103 54.8 13.5 S12 17.8 10.7 55.5 | Canopus 259 12.2 S53 10.8
23 | 165 51.4 S23 19.7 | 118 27.4 13.5 S12 07.0 10.8 55.5 | Capella 265 04.0 N46 47.6
------+-------------------+----------------------------------| Castor 232 45.9 N29 58.9
21 0 | 180 51.1 S23 19.7 | 132 59.9 13.6 S11 56.2 10.8 55.5 | Deneb 42 20.1 N48 19.8
1 | 195 50.8 S23 19.7 | 147 32.5 13.6 S11 45.3 10.9 55.6 |
2 | 210 50.5 S23 19.7 | 162 05.1 13.6 S11 34.3 10.9 55.6 | Denebola 171 51.5 N 9 50.3
3 | 225 50.2 S23 19.7 | 176 37.8 13.6 S11 23.3 11.0 55.6 | Diphda 338 23.6 S13 21.2
4 | 240 49.9 S23 19.7 | 191 10.4 13.6 S11 12.3 11.1 55.6 | Dubhe 181 02.3 N57 09.7
M 5 | 255 49.6 S23 19.7 | 205 43.1 13.7 S11 01.2 11.1 55.7 | Elnath 264 56.2 N29 15.8
O | | | Eltanin 85 50.6 N51 24.6
N 6 | 270 49.3 S23 19.7 | 220 15.7 13.7 S10 50.0 11.2 55.7 |
D 7 | 285 49.0 S23 19.7 | 234 48.4 13.7 S10 38.8 11.2 55.7 | Enif 23 28.1 N13 46.8
A 8 | 300 48.7 S23 19.7 | 249 21.1 13.7 S10 27.5 11.3 55.7 | Fomalhaut 3 50.1 S25 07.7
Y 9 | 315 48.4 S23 19.7 | 263 53.9 13.7 S10 16.1 11.3 55.7 | Gacrux 160 17.1 S61 50.4
10 | 330 48.1 S23 19.7 | 278 26.6 13.7 S10 04.7 11.4 55.8 | Gienah 165 03.0 S22 14.1
11 | 345 47.8 S23 19.7 | 292 59.4 13.8 S 9 53.3 11.4 55.8 | Hadar 133 53.1 S64 25.1
| | |
12 | 0 47.5 S23 19.7 | 307 32.1 13.8 S 9 41.8 11.5 55.8 | Hamal 316 08.6 N27 26.3
13 | 15 47.2 S23 19.7 | 322 04.9 13.8 S 9 30.3 11.5 55.8 | Kaus Austr. 69 49.7 S33 55.7
14 | 30 46.9 S23 19.7 | 336 37.7 13.8 S 9 18.7 11.6 55.9 | Kochab 137 41.7 N70 41.4
15 | 45 46.6 S23 19.7 | 351 10.5 13.8 S 9 07.0 11.6 55.9 | Markab 3 09.9 N19 46.2
16 | 60 46.3 S23 19.7 | 5 43.3 13.8 S 8 55.3 11.7 55.9 | Menkar 303 15.1 N 7 22.5
17 | 75 46.0 S23 19.7 | 20 16.1 13.8 S 8 43.6 11.7 55.9 |
| | | Menkent 135 44.0 S40 30.3
18 | 90 45.7 S23 19.7 | 34 48.9 13.8 S 8 31.8 11.8 56.0 | Miaplacidus 219 19.4 S73 12.3
19 | 105 45.4 S23 19.7 | 49 21.8 13.8 S 8 20.0 11.8 56.0 | Mirfak 293 37.7 N52 49.5
20 | 120 45.1 S23 19.7 | 63 54.6 13.8 S 8 08.1 11.9 56.0 | Nunki 62 59.2 S25 11.6
21 | 135 44.8 S23 19.6 | 78 27.4 13.8 S 7 56.1 11.9 56.0 | Peacock 36 51.5 S53 58.3
22 | 150 44.5 S23 19.6 | 93 00.3 13.9 S 7 44.2 12.0 56.1 |
23 | 165 44.2 S23 19.6 | 107 33.1 13.9 S 7 32.1 12.0 56.1 | Polaris 107 59.2 N93 03.7
------+-------------------+----------------------------------| Pollux 230 38.7 N25 55.9
22 0 | 180 43.9 S23 19.6 | 122 06.0 13.9 S 7 20.1 12.1 56.1 | Procyon 234 00.4 N 3 00.7
1 | 195 43.6 S23 19.6 | 136 38.9 13.9 S 7 08.0 12.1 56.1 | Rasalhague 86 21.0 N11 59.2
2 | 210 43.3 S23 19.6 | 151 11.7 13.9 S 6 55.8 12.1 56.2 | Regulus 196 33.4 N 7 48.5
3 | 225 43.0 S23 19.6 | 165 44.6 13.9 S 6 43.7 12.2 56.2 |
4 | 240 42.7 S23 19.5 | 180 17.5 13.9 S 6 31.4 12.2 56.2 | Rigel 271 05.3 S 7 16.1
T 5 | 255 42.4 S23 19.5 | 194 50.3 13.9 S 6 19.2 12.3 56.2 | Rigil Kent 125 31.5 S64 17.2
U | | | Sabik 90 10.2 S16 43.3
E 6 | 270 42.1 S23 19.5 | 209 23.2 13.9 S 6 06.9 12.3 56.3 | Schedar 337 40.2 N61 10.4
S 7 | 285 41.8 S23 19.5 | 223 56.0 13.9 S 5 54.5 12.3 56.3 | Shaula 82 07.7 S37 39.6
D 8 | 300 41.5 S23 19.5 | 238 28.9 13.9 S 5 42.2 12.4 56.3 |
A 9 | 315 41.2 S23 19.5 | 253 01.8 13.9 S 5 29.8 12.4 56.3 | Sirius 249 17.5 S17 55.0
Y 10 | 330 40.9 S23 19.4 | 267 34.6 13.8 S 5 17.3 12.4 56.4 | Spica 147 26.4 S15 33.5
11 | 345 40.6 S23 19.4 | 282 07.4 13.8 S 5 04.8 12.5 56.4 | Suhail 215 06.3 S46 52.2
| | | Vega 73 30.6 N39 36.2
12 | 0 40.3 S23 19.4 | 296 40.3 13.8 S 4 52.3 12.5 56.4 | Zuben-ubi 125 48.6 S19 31.4
13 | 15 40.0 S23 19.4 | 311 13.1 13.8 S 4 39.8 12.5 56.4 |
14 | 30 39.7 S23 19.3 | 325 45.9 13.8 S 4 27.2 12.6 56.5 |
15 | 45 39.4 S23 19.3 | 340 18.7 13.8 S 4 14.6 12.6 56.5 |
16 | 60 39.1 S23 19.3 | 354 51.5 13.8 S 4 02.0 12.6 56.5 |
17 | 75 38.8 S23 19.3 | 9 24.3 13.8 S 3 49.3 12.7 56.5 |
| | |
18 | 90 38.5 S23 19.2 | 23 57.1 13.8 S 3 36.6 12.7 56.6 |
19 | 105 38.2 S23 19.2 | 38 29.9 13.8 S 3 23.9 12.7 56.6 |
20 | 120 37.9 S23 19.2 | 53 02.6 13.7 S 3 11.1 12.8 56.6 |
21 | 135 37.6 S23 19.1 | 67 35.3 13.7 S 2 58.3 12.8 56.7 |
22 | 150 37.3 S23 19.1 | 82 08.1 13.7 S 2 45.5 12.8 56.7 |
23 | 165 37.0 S23 19.1 | 96 40.8 13.7 S 2 32.7 12.8 56.7 |
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|S.D. 16.2 d 0.0 | S.D. 15.1 15.2 15.4 |
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