
2680 DEC. 19, 20, 21 (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 | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
19 0 | 88 13.9 | 226 48.6 S13 21.2 | 102 09.5 S 6 57.9 | 248 05.0 S 7 10.6 | 345 41.5 N21 55.5
1 | 103 16.4 | 241 48.2 S13 22.0 | 117 10.3 S 6 57.2 | 263 07.1 S 7 10.7 | 0 44.2 N21 55.5
2 | 118 18.8 | 256 47.9 S13 22.8 | 132 11.1 S 6 56.5 | 278 09.3 S 7 10.9 | 15 46.9 N21 55.5
3 | 133 21.3 | 271 47.5 S13 23.7 | 147 12.0 S 6 55.7 | 293 11.4 S 7 11.0 | 30 49.5 N21 55.5
4 | 148 23.8 | 286 47.2 S13 24.5 | 162 12.8 S 6 55.0 | 308 13.5 S 7 11.1 | 45 52.2 N21 55.6
S 5 | 163 26.2 | 301 46.8 S13 25.3 | 177 13.6 S 6 54.2 | 323 15.7 S 7 11.2 | 60 54.9 N21 55.6
U
N 6 | 178 28.7 | 316 46.4 S13 26.1 | 192 14.5 S 6 53.5 | 338 17.8 S 7 11.4 | 75 57.6 N21 55.6
D 7 | 193 31.2 | 331 46.1 S13 27.0 | 207 15.3 S 6 52.7 | 353 19.9 S 7 11.5 | 91 00.2 N21 55.6
A 8 | 208 33.6 | 346 45.7 S13 27.8 | 222 16.1 S 6 52.0 | 8 22.1 S 7 11.6 | 106 02.9 N21 55.6
Y 9 | 223 36.1 | 1 45.4 S13 28.6 | 237 16.9 S 6 51.2 | 23 24.2 S 7 11.7 | 121 05.6 N21 55.7
10 | 238 38.5 | 16 45.0 S13 29.4 | 252 17.8 S 6 50.5 | 38 26.4 S 7 11.8 | 136 08.3 N21 55.7
11 | 253 41.0 | 31 44.7 S13 30.3 | 267 18.6 S 6 49.7 | 53 28.5 S 7 12.0 | 151 10.9 N21 55.7
12 | 268 43.5 | 46 44.3 S13 31.1 | 282 19.4 S 6 49.0 | 68 30.6 S 7 12.1 | 166 13.6 N21 55.7
13 | 283 45.9 | 61 43.9 S13 31.9 | 297 20.2 S 6 48.3 | 83 32.8 S 7 12.2 | 181 16.3 N21 55.7
14 | 298 48.4 | 76 43.6 S13 32.7 | 312 21.1 S 6 47.5 | 98 34.9 S 7 12.3 | 196 19.0 N21 55.8
15 | 313 50.9 | 91 43.2 S13 33.6 | 327 21.9 S 6 46.8 | 113 37.0 S 7 12.4 | 211 21.6 N21 55.8
16 | 328 53.3 | 106 42.9 S13 34.4 | 342 22.7 S 6 46.0 | 128 39.2 S 7 12.6 | 226 24.3 N21 55.8
17 | 343 55.8 | 121 42.5 S13 35.2 | 357 23.5 S 6 45.3 | 143 41.3 S 7 12.7 | 241 27.0 N21 55.8
18 | 358 58.3 | 136 42.1 S13 36.0 | 12 24.4 S 6 44.5 | 158 43.5 S 7 12.8 | 256 29.7 N21 55.8
19 | 14 00.7 | 151 41.8 S13 36.8 | 27 25.2 S 6 43.8 | 173 45.6 S 7 12.9 | 271 32.3 N21 55.9
20 | 29 03.2 | 166 41.4 S13 37.7 | 42 26.0 S 6 43.0 | 188 47.7 S 7 13.0 | 286 35.0 N21 55.9
21 | 44 05.7 | 181 41.1 S13 38.5 | 57 26.8 S 6 42.3 | 203 49.9 S 7 13.2 | 301 37.7 N21 55.9
22 | 59 08.1 | 196 40.7 S13 39.3 | 72 27.7 S 6 41.5 | 218 52.0 S 7 13.3 | 316 40.4 N21 55.9
23 | 74 10.6 | 211 40.3 S13 40.1 | 87 28.5 S 6 40.8 | 233 54.2 S 7 13.4 | 331 43.0 N21 55.9
------+----------+-------------------+-------------------+-------------------+--------------------
20 0 | 89 13.0 | 226 40.0 S13 40.9 | 102 29.3 S 6 40.0 | 248 56.3 S 7 13.5 | 346 45.7 N21 56.0
1 | 104 15.5 | 241 39.6 S13 41.8 | 117 30.2 S 6 39.3 | 263 58.4 S 7 13.6 | 1 48.4 N21 56.0
2 | 119 18.0 | 256 39.2 S13 42.6 | 132 31.0 S 6 38.5 | 279 00.6 S 7 13.8 | 16 51.1 N21 56.0
3 | 134 20.4 | 271 38.9 S13 43.4 | 147 31.8 S 6 37.8 | 294 02.7 S 7 13.9 | 31 53.7 N21 56.0
4 | 149 22.9 | 286 38.5 S13 44.2 | 162 32.6 S 6 37.1 | 309 04.9 S 7 14.0 | 46 56.4 N21 56.0
M 5 | 164 25.4 | 301 38.1 S13 45.0 | 177 33.5 S 6 36.3 | 324 07.0 S 7 14.1 | 61 59.1 N21 56.1
O
N 6 | 179 27.8 | 316 37.8 S13 45.8 | 192 34.3 S 6 35.6 | 339 09.2 S 7 14.2 | 77 01.8 N21 56.1
D 7 | 194 30.3 | 331 37.4 S13 46.7 | 207 35.1 S 6 34.8 | 354 11.3 S 7 14.4 | 92 04.4 N21 56.1
A 8 | 209 32.8 | 346 37.0 S13 47.5 | 222 35.9 S 6 34.1 | 9 13.4 S 7 14.5 | 107 07.1 N21 56.1
Y 9 | 224 35.2 | 1 36.6 S13 48.3 | 237 36.8 S 6 33.3 | 24 15.6 S 7 14.6 | 122 09.8 N21 56.1
10 | 239 37.7 | 16 36.3 S13 49.1 | 252 37.6 S 6 32.6 | 39 17.7 S 7 14.7 | 137 12.5 N21 56.2
11 | 254 40.2 | 31 35.9 S13 49.9 | 267 38.4 S 6 31.8 | 54 19.9 S 7 14.8 | 152 15.2 N21 56.2
12 | 269 42.6 | 46 35.5 S13 50.7 | 282 39.3 S 6 31.1 | 69 22.0 S 7 15.0 | 167 17.8 N21 56.2
13 | 284 45.1 | 61 35.2 S13 51.5 | 297 40.1 S 6 30.3 | 84 24.1 S 7 15.1 | 182 20.5 N21 56.2
14 | 299 47.5 | 76 34.8 S13 52.4 | 312 40.9 S 6 29.6 | 99 26.3 S 7 15.2 | 197 23.2 N21 56.2
15 | 314 50.0 | 91 34.4 S13 53.2 | 327 41.7 S 6 28.8 | 114 28.4 S 7 15.3 | 212 25.9 N21 56.3
16 | 329 52.5 | 106 34.0 S13 54.0 | 342 42.6 S 6 28.1 | 129 30.6 S 7 15.4 | 227 28.5 N21 56.3
17 | 344 54.9 | 121 33.7 S13 54.8 | 357 43.4 S 6 27.3 | 144 32.7 S 7 15.5 | 242 31.2 N21 56.3
18 | 359 57.4 | 136 33.3 S13 55.6 | 12 44.2 S 6 26.6 | 159 34.9 S 7 15.7 | 257 33.9 N21 56.3
19 | 14 59.9 | 151 32.9 S13 56.4 | 27 45.0 S 6 25.8 | 174 37.0 S 7 15.8 | 272 36.6 N21 56.3
20 | 30 02.3 | 166 32.5 S13 57.2 | 42 45.9 S 6 25.1 | 189 39.2 S 7 15.9 | 287 39.2 N21 56.4
21 | 45 04.8 | 181 32.1 S13 58.0 | 57 46.7 S 6 24.3 | 204 41.3 S 7 16.0 | 302 41.9 N21 56.4
22 | 60 07.3 | 196 31.8 S13 58.8 | 72 47.5 S 6 23.6 | 219 43.4 S 7 16.1 | 317 44.6 N21 56.4
23 | 75 09.7 | 211 31.4 S13 59.7 | 87 48.4 S 6 22.8 | 234 45.6 S 7 16.3 | 332 47.3 N21 56.4
------+----------+-------------------+-------------------+-------------------+--------------------
21 0 | 90 12.2 | 226 31.0 S14 00.5 | 102 49.2 S 6 22.1 | 249 47.7 S 7 16.4 | 347 50.0 N21 56.4
1 | 105 14.6 | 241 30.6 S14 01.3 | 117 50.0 S 6 21.3 | 264 49.9 S 7 16.5 | 2 52.6 N21 56.5
2 | 120 17.1 | 256 30.2 S14 02.1 | 132 50.8 S 6 20.6 | 279 52.0 S 7 16.6 | 17 55.3 N21 56.5
3 | 135 19.6 | 271 29.9 S14 02.9 | 147 51.7 S 6 19.9 | 294 54.2 S 7 16.7 | 32 58.0 N21 56.5
4 | 150 22.0 | 286 29.5 S14 03.7 | 162 52.5 S 6 19.1 | 309 56.3 S 7 16.8 | 48 00.7 N21 56.5
T 5 | 165 24.5 | 301 29.1 S14 04.5 | 177 53.3 S 6 18.4 | 324 58.5 S 7 17.0 | 63 03.3 N21 56.5
U
E 6 | 180 27.0 | 316 28.7 S14 05.3 | 192 54.1 S 6 17.6 | 340 00.6 S 7 17.1 | 78 06.0 N21 56.6
S 7 | 195 29.4 | 331 28.3 S14 06.1 | 207 55.0 S 6 16.9 | 355 02.8 S 7 17.2 | 93 08.7 N21 56.6
D 8 | 210 31.9 | 346 28.0 S14 06.9 | 222 55.8 S 6 16.1 | 10 04.9 S 7 17.3 | 108 11.4 N21 56.6
A 9 | 225 34.4 | 1 27.6 S14 07.7 | 237 56.6 S 6 15.4 | 25 07.0 S 7 17.4 | 123 14.1 N21 56.6
Y 10 | 240 36.8 | 16 27.2 S14 08.5 | 252 57.5 S 6 14.6 | 40 09.2 S 7 17.5 | 138 16.7 N21 56.6
11 | 255 39.3 | 31 26.8 S14 09.4 | 267 58.3 S 6 13.9 | 55 11.3 S 7 17.7 | 153 19.4 N21 56.7
12 | 270 41.8 | 46 26.4 S14 10.2 | 282 59.1 S 6 13.1 | 70 13.5 S 7 17.8 | 168 22.1 N21 56.7
13 | 285 44.2 | 61 26.0 S14 11.0 | 297 59.9 S 6 12.4 | 85 15.6 S 7 17.9 | 183 24.8 N21 56.7
14 | 300 46.7 | 76 25.6 S14 11.8 | 313 00.8 S 6 11.6 | 100 17.8 S 7 18.0 | 198 27.4 N21 56.7
15 | 315 49.1 | 91 25.2 S14 12.6 | 328 01.6 S 6 10.9 | 115 19.9 S 7 18.1 | 213 30.1 N21 56.7
16 | 330 51.6 | 106 24.9 S14 13.4 | 343 02.4 S 6 10.1 | 130 22.1 S 7 18.2 | 228 32.8 N21 56.8
17 | 345 54.1 | 121 24.5 S14 14.2 | 358 03.2 S 6 09.4 | 145 24.2 S 7 18.4 | 243 35.5 N21 56.8
18 | 0 56.5 | 136 24.1 S14 15.0 | 13 04.1 S 6 08.6 | 160 26.4 S 7 18.5 | 258 38.2 N21 56.8
19 | 15 59.0 | 151 23.7 S14 15.8 | 28 04.9 S 6 07.9 | 175 28.5 S 7 18.6 | 273 40.8 N21 56.8
20 | 31 01.5 | 166 23.3 S14 16.6 | 43 05.7 S 6 07.1 | 190 30.7 S 7 18.7 | 288 43.5 N21 56.8
21 | 46 03.9 | 181 22.9 S14 17.4 | 58 06.6 S 6 06.4 | 205 32.8 S 7 18.8 | 303 46.2 N21 56.9
22 | 61 06.4 | 196 22.5 S14 18.2 | 73 07.4 S 6 05.6 | 220 35.0 S 7 18.9 | 318 48.9 N21 56.9
23 | 76 08.9 | 211 22.1 S14 19.0 | 88 08.2 S 6 04.9 | 235 37.1 S 7 19.1 | 333 51.6 N21 56.9
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| v -0.4 d 0.8 | v 0.8 d 0.7 | v 2.1 d 0.1 | v 2.7 d 0.0
2680 DEC. 19, 20, 21 (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 | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
19 0 | 181 03.3 S23 19.5 | 115 46.0 14.2 S 6 29.3 12.6 56.1 | Acamar 308 55.6 S37 36.4
1 | 196 03.0 S23 19.6 | 130 19.2 14.2 S 6 16.7 12.6 56.1 | Achernar 329 11.7 S53 48.1
2 | 211 02.7 S23 19.6 | 144 52.4 14.2 S 6 04.0 12.7 56.1 | Acrux 163 45.0 S66 51.2
3 | 226 02.4 S23 19.7 | 159 25.6 14.2 S 5 51.3 12.7 56.2 | Adhara 248 35.8 S29 55.4
4 | 241 02.1 S23 19.7 | 173 58.8 14.2 S 5 38.5 12.8 56.2 | Albireo 60 24.7 N29 24.8
S 5 | 256 01.8 S23 19.8 | 188 32.0 14.2 S 5 25.7 12.8 56.2 |
U | | | Aldebaran 281 11.5 N17 50.2
N 6 | 271 01.5 S23 19.8 | 203 05.2 14.2 S 5 12.9 12.8 56.3 | Alioth 158 59.6 N52 16.6
D 7 | 286 01.2 S23 19.9 | 217 38.3 14.2 S 5 00.1 12.9 56.3 | Alkaid 146 22.5 N45 55.9
A 8 | 301 00.9 S23 19.9 | 232 11.5 14.2 S 4 47.2 12.9 56.3 | Al Na-ir 17 14.2 S43 39.3
Y 9 | 316 00.6 S23 19.9 | 246 44.6 14.2 S 4 34.2 12.9 56.3 | Alnilam 267 15.3 S 0 48.3
10 | 331 00.3 S23 20.0 | 261 17.8 14.1 S 4 21.3 13.0 56.4 |
11 | 345 60.0 S23 20.0 | 275 50.9 14.1 S 4 08.3 13.0 56.4 | Alphard 209 41.5 S11 37.5
| | | Alphecca 119 04.6 N24 27.1
12 | 0 59.7 S23 20.1 | 290 24.0 14.1 S 3 55.3 13.0 56.4 | Alpheratz 349 02.1 N32 50.6
13 | 15 59.4 S23 20.1 | 304 57.1 14.1 S 3 42.2 13.0 56.5 | Altair 53 57.8 N10 41.7
14 | 30 59.1 S23 20.1 | 319 30.2 14.1 S 3 29.2 13.1 56.5 | Ankaa 344 59.9 S38 37.6
15 | 45 58.8 S23 20.2 | 334 03.3 14.1 S 3 16.1 13.1 56.5 |
16 | 60 58.5 S23 20.2 | 348 36.4 14.1 S 3 02.9 13.1 56.5 | Antares 102 09.5 S27 53.9
17 | 75 58.2 S23 20.3 | 3 09.4 14.0 S 2 49.8 13.2 56.6 | Arcturus 138 16.5 N15 39.7
| | | Atria 89 41.9 S70 12.2
18 | 90 57.9 S23 20.3 | 17 42.4 14.0 S 2 36.6 13.2 56.6 | Avior 230 49.5 S61 42.3
19 | 105 57.6 S23 20.3 | 32 15.4 14.0 S 2 23.4 13.2 56.6 | Bellatrix 269 32.0 N 6 55.5
20 | 120 57.3 S23 20.4 | 46 48.4 14.0 S 2 10.1 13.2 56.7 |
21 | 135 57.0 S23 20.4 | 61 21.4 14.0 S 1 56.9 13.3 56.7 | Betelgeuse 261 56.4 N 7 29.7
22 | 150 56.7 S23 20.4 | 75 54.3 13.9 S 1 43.6 13.3 56.7 | Canopus 260 09.9 S53 05.0
23 | 165 56.4 S23 20.5 | 90 27.2 13.9 S 1 30.3 13.3 56.7 | Capella 268 11.4 N46 38.2
------+-------------------+----------------------------------| Castor 235 27.5 N30 21.5
20 0 | 180 56.1 S23 20.5 | 105 00.1 13.9 S 1 17.0 13.3 56.8 | Deneb 43 47.6 N47 43.8
1 | 195 55.8 S23 20.5 | 119 33.0 13.9 S 1 03.6 13.3 56.8 |
2 | 210 55.5 S23 20.5 | 134 05.8 13.8 S 0 50.3 13.4 56.8 | Denebola 174 01.1 N10 46.3
3 | 225 55.2 S23 20.6 | 148 38.6 13.8 S 0 36.9 13.4 56.9 | Diphda 340 31.3 S14 16.0
4 | 240 54.9 S23 20.6 | 163 11.4 13.8 S 0 23.5 13.4 56.9 | Dubhe 183 37.4 N58 04.0
M 5 | 255 54.6 S23 20.6 | 177 44.1 13.7 S 0 10.1 13.4 56.9 | Elnath 267 36.7 N29 08.1
O | | | Eltanin 86 50.9 N51 25.5
N 6 | 270 54.3 S23 20.7 | 192 16.9 13.7 N 0 03.3 13.4 57.0 |
D 7 | 285 54.0 S23 20.7 | 206 49.5 13.7 N 0 16.8 13.4 57.0 | Enif 25 33.1 N13 00.6
A 8 | 300 53.7 S23 20.7 | 221 22.2 13.7 N 0 30.2 13.5 57.0 | Fomalhaut 6 10.1 S26 00.9
Y 9 | 315 53.4 S23 20.7 | 235 54.8 13.6 N 0 43.7 13.5 57.1 | Gacrux 162 39.2 S60 54.4
10 | 330 53.1 S23 20.7 | 250 27.4 13.6 N 0 57.2 13.5 57.1 | Gienah 167 14.1 S21 18.5
11 | 345 52.8 S23 20.8 | 264 59.9 13.5 N 1 10.6 13.5 57.1 | Hadar 136 53.5 S63 37.2
| | |
12 | 0 52.5 S23 20.8 | 279 32.4 13.5 N 1 24.1 13.5 57.2 | Hamal 318 32.3 N26 39.3
13 | 15 52.2 S23 20.8 | 294 04.9 13.5 N 1 37.6 13.5 57.2 | Kaus Austr. 72 37.9 S34 01.1
14 | 30 51.8 S23 20.8 | 308 37.3 13.4 N 1 51.2 13.5 57.2 | Kochab 137 38.4 N71 22.4
15 | 45 51.5 S23 20.8 | 323 09.7 13.4 N 2 04.7 13.5 57.3 | Markab 5 16.8 N18 52.2
16 | 60 51.2 S23 20.9 | 337 42.1 13.3 N 2 18.2 13.5 57.3 | Menkar 305 28.2 N 6 43.6
17 | 75 50.9 S23 20.9 | 352 14.4 13.3 N 2 31.7 13.5 57.3 |
| | | Menkent 138 14.0 S39 41.3
18 | 90 50.6 S23 20.9 | 6 46.6 13.3 N 2 45.3 13.5 57.4 | Miaplacidus 219 48.4 S72 31.0
19 | 105 50.3 S23 20.9 | 21 18.8 13.2 N 2 58.8 13.5 57.4 | Mirfak 296 39.5 N52 14.5
20 | 120 50.0 S23 20.9 | 35 51.0 13.2 N 3 12.4 13.5 57.4 | Nunki 65 36.4 S25 24.7
21 | 135 49.7 S23 20.9 | 50 23.1 13.1 N 3 25.9 13.5 57.5 | Peacock 40 10.5 S54 31.0
22 | 150 49.4 S23 21.0 | 64 55.1 13.1 N 3 39.4 13.5 57.5 |
23 | 165 49.1 S23 21.0 | 79 27.2 13.0 N 3 53.0 13.5 57.5 | Polaris 150 18.5 N92 18.6
------+-------------------+----------------------------------| Pollux 233 13.7 N26 20.7
21 0 | 180 48.8 S23 21.0 | 93 59.1 13.0 N 4 06.5 13.5 57.6 | Procyon 236 13.4 N 3 26.9
1 | 195 48.5 S23 21.0 | 108 31.0 12.9 N 4 20.0 13.5 57.6 | Rasalhague 88 19.3 N12 06.0
2 | 210 48.2 S23 21.0 | 123 02.9 12.8 N 4 33.6 13.5 57.6 | Regulus 198 48.6 N 8 37.7
3 | 225 47.9 S23 21.0 | 137 34.7 12.8 N 4 47.1 13.5 57.7 |
4 | 240 47.6 S23 21.0 | 152 06.4 12.7 N 5 00.6 13.5 57.7 | Rigel 273 07.8 S 7 27.1
T 5 | 255 47.3 S23 21.0 | 166 38.1 12.7 N 5 14.1 13.5 57.7 | Rigil Kent 128 25.0 S63 36.4
U | | | Sabik 92 36.0 S16 31.5
E 6 | 270 47.0 S23 21.0 | 181 09.7 12.6 N 5 27.6 13.5 57.8 | Schedar 340 05.5 N60 15.6
S 7 | 285 46.7 S23 21.0 | 195 41.3 12.6 N 5 41.1 13.5 57.8 | Shaula 84 60.0 S37 33.1
D 8 | 300 46.4 S23 21.0 | 210 12.8 12.5 N 5 54.6 13.5 57.8 |
A 9 | 315 46.1 S23 21.0 | 224 44.2 12.4 N 6 08.1 13.5 57.9 | Sirius 251 09.8 S17 40.8
Y 10 | 330 45.8 S23 21.0 | 239 15.6 12.4 N 6 21.5 13.5 57.9 | Spica 149 40.6 S14 41.5
11 | 345 45.5 S23 21.0 | 253 46.9 12.3 N 6 34.9 13.4 57.9 | Suhail 216 40.6 S46 11.4
| | | Vega 74 57.5 N39 26.5
12 | 0 45.2 S23 21.0 | 268 18.1 12.2 N 6 48.4 13.4 58.0 | Zuben-ubi 128 05.3 S18 50.2
13 | 15 44.9 S23 21.0 | 282 49.3 12.2 N 7 01.8 13.4 58.0 |
14 | 30 44.6 S23 21.0 | 297 20.4 12.1 N 7 15.2 13.4 58.0 |
15 | 45 44.3 S23 21.0 | 311 51.4 12.0 N 7 28.5 13.4 58.1 |
16 | 60 44.0 S23 21.0 | 326 22.4 12.0 N 7 41.9 13.3 58.1 |
17 | 75 43.7 S23 21.0 | 340 53.3 11.9 N 7 55.2 13.3 58.2 |
| | |
18 | 90 43.4 S23 21.0 | 355 24.1 11.8 N 8 08.5 13.3 58.2 |
19 | 105 43.1 S23 21.0 | 9 54.8 11.7 N 8 21.8 13.3 58.2 |
20 | 120 42.8 S23 21.0 | 24 25.5 11.7 N 8 35.0 13.3 58.3 |
21 | 135 42.5 S23 21.0 | 38 56.1 11.6 N 8 48.3 13.2 58.3 |
22 | 150 42.2 S23 21.0 | 53 26.6 11.5 N 9 01.5 13.2 58.3 |
23 | 165 41.9 S23 21.0 | 67 57.0 11.4 N 9 14.6 13.2 58.4 |
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|S.D. 16.2 d 0.0 | S.D. 15.4 15.6 15.8 |
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