
2087 DEC. 13, 14, 15 (SAT, SUN, MON)
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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 | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
13 0 | 81 55.3 | 219 44.2 S14 04.3 | 182 36.7 S23 36.5 | 247 34.8 S 4 48.2 | 46 02.6 N11 31.3
1 | 96 57.8 | 234 43.6 S14 05.2 | 197 37.2 S23 36.7 | 262 37.0 S 4 48.3 | 61 05.2 N11 31.3
2 | 112 00.2 | 249 43.1 S14 06.1 | 212 37.6 S23 36.8 | 277 39.1 S 4 48.5 | 76 07.8 N11 31.3
3 | 127 02.7 | 264 42.6 S14 07.1 | 227 38.1 S23 37.0 | 292 41.2 S 4 48.6 | 91 10.4 N11 31.2
4 | 142 05.1 | 279 42.1 S14 08.0 | 242 38.5 S23 37.1 | 307 43.4 S 4 48.7 | 106 12.9 N11 31.2
S 5 | 157 07.6 | 294 41.6 S14 08.9 | 257 39.0 S23 37.3 | 322 45.5 S 4 48.9 | 121 15.5 N11 31.2
A
T 6 | 172 10.1 | 309 41.0 S14 09.8 | 272 39.5 S23 37.4 | 337 47.7 S 4 49.0 | 136 18.1 N11 31.2
U 7 | 187 12.5 | 324 40.5 S14 10.7 | 287 39.9 S23 37.6 | 352 49.8 S 4 49.1 | 151 20.7 N11 31.1
R 8 | 202 15.0 | 339 40.0 S14 11.7 | 302 40.4 S23 37.7 | 7 51.9 S 4 49.2 | 166 23.3 N11 31.1
D 9 | 217 17.5 | 354 39.5 S14 12.6 | 317 40.8 S23 37.9 | 22 54.1 S 4 49.4 | 181 25.8 N11 31.1
A 10 | 232 19.9 | 9 38.9 S14 13.5 | 332 41.3 S23 38.1 | 37 56.2 S 4 49.5 | 196 28.4 N11 31.1
Y 11 | 247 22.4 | 24 38.4 S14 14.4 | 347 41.7 S23 38.2 | 52 58.3 S 4 49.6 | 211 31.0 N11 31.0
12 | 262 24.9 | 39 37.9 S14 15.3 | 2 42.2 S23 38.4 | 68 00.5 S 4 49.7 | 226 33.6 N11 31.0
13 | 277 27.3 | 54 37.4 S14 16.2 | 17 42.7 S23 38.5 | 83 02.6 S 4 49.9 | 241 36.1 N11 31.0
14 | 292 29.8 | 69 36.8 S14 17.2 | 32 43.1 S23 38.7 | 98 04.8 S 4 50.0 | 256 38.7 N11 30.9
15 | 307 32.3 | 84 36.3 S14 18.1 | 47 43.6 S23 38.8 | 113 06.9 S 4 50.1 | 271 41.3 N11 30.9
16 | 322 34.7 | 99 35.8 S14 19.0 | 62 44.0 S23 39.0 | 128 09.0 S 4 50.2 | 286 43.9 N11 30.9
17 | 337 37.2 | 114 35.3 S14 19.9 | 77 44.5 S23 39.1 | 143 11.2 S 4 50.4 | 301 46.5 N11 30.9
18 | 352 39.6 | 129 34.7 S14 20.8 | 92 44.9 S23 39.3 | 158 13.3 S 4 50.5 | 316 49.0 N11 30.8
19 | 7 42.1 | 144 34.2 S14 21.7 | 107 45.4 S23 39.4 | 173 15.5 S 4 50.6 | 331 51.6 N11 30.8
20 | 22 44.6 | 159 33.7 S14 22.6 | 122 45.9 S23 39.6 | 188 17.6 S 4 50.7 | 346 54.2 N11 30.8
21 | 37 47.0 | 174 33.2 S14 23.6 | 137 46.3 S23 39.7 | 203 19.8 S 4 50.9 | 1 56.8 N11 30.8
22 | 52 49.5 | 189 32.6 S14 24.5 | 152 46.8 S23 39.9 | 218 21.9 S 4 51.0 | 16 59.3 N11 30.7
23 | 67 52.0 | 204 32.1 S14 25.4 | 167 47.2 S23 40.0 | 233 24.0 S 4 51.1 | 32 01.9 N11 30.7
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14 0 | 82 54.4 | 219 31.6 S14 26.3 | 182 47.7 S23 40.2 | 248 26.2 S 4 51.2 | 47 04.5 N11 30.7
1 | 97 56.9 | 234 31.0 S14 27.2 | 197 48.1 S23 40.3 | 263 28.3 S 4 51.4 | 62 07.1 N11 30.7
2 | 112 59.4 | 249 30.5 S14 28.1 | 212 48.6 S23 40.5 | 278 30.5 S 4 51.5 | 77 09.6 N11 30.6
3 | 128 01.8 | 264 30.0 S14 29.0 | 227 49.1 S23 40.6 | 293 32.6 S 4 51.6 | 92 12.2 N11 30.6
4 | 143 04.3 | 279 29.4 S14 29.9 | 242 49.5 S23 40.8 | 308 34.8 S 4 51.7 | 107 14.8 N11 30.6
S 5 | 158 06.8 | 294 28.9 S14 30.8 | 257 50.0 S23 40.9 | 323 36.9 S 4 51.9 | 122 17.4 N11 30.5
U
N 6 | 173 09.2 | 309 28.4 S14 31.7 | 272 50.4 S23 41.1 | 338 39.0 S 4 52.0 | 137 19.9 N11 30.5
D 7 | 188 11.7 | 324 27.8 S14 32.6 | 287 50.9 S23 41.2 | 353 41.2 S 4 52.1 | 152 22.5 N11 30.5
A 8 | 203 14.1 | 339 27.3 S14 33.5 | 302 51.3 S23 41.4 | 8 43.3 S 4 52.2 | 167 25.1 N11 30.5
Y 9 | 218 16.6 | 354 26.8 S14 34.4 | 317 51.8 S23 41.5 | 23 45.5 S 4 52.4 | 182 27.6 N11 30.4
10 | 233 19.1 | 9 26.2 S14 35.3 | 332 52.2 S23 41.7 | 38 47.6 S 4 52.5 | 197 30.2 N11 30.4
11 | 248 21.5 | 24 25.7 S14 36.2 | 347 52.7 S23 41.8 | 53 49.8 S 4 52.6 | 212 32.8 N11 30.4
12 | 263 24.0 | 39 25.2 S14 37.2 | 2 53.1 S23 41.9 | 68 51.9 S 4 52.7 | 227 35.4 N11 30.4
13 | 278 26.5 | 54 24.6 S14 38.1 | 17 53.6 S23 42.1 | 83 54.0 S 4 52.9 | 242 37.9 N11 30.3
14 | 293 28.9 | 69 24.1 S14 39.0 | 32 54.1 S23 42.2 | 98 56.2 S 4 53.0 | 257 40.5 N11 30.3
15 | 308 31.4 | 84 23.5 S14 39.9 | 47 54.5 S23 42.4 | 113 58.3 S 4 53.1 | 272 43.1 N11 30.3
16 | 323 33.9 | 99 23.0 S14 40.8 | 62 55.0 S23 42.5 | 129 00.5 S 4 53.2 | 287 45.7 N11 30.3
17 | 338 36.3 | 114 22.5 S14 41.7 | 77 55.4 S23 42.7 | 144 02.6 S 4 53.3 | 302 48.2 N11 30.2
18 | 353 38.8 | 129 21.9 S14 42.6 | 92 55.9 S23 42.8 | 159 04.8 S 4 53.5 | 317 50.8 N11 30.2
19 | 8 41.2 | 144 21.4 S14 43.5 | 107 56.3 S23 42.9 | 174 06.9 S 4 53.6 | 332 53.4 N11 30.2
20 | 23 43.7 | 159 20.8 S14 44.4 | 122 56.8 S23 43.1 | 189 09.1 S 4 53.7 | 347 55.9 N11 30.2
21 | 38 46.2 | 174 20.3 S14 45.3 | 137 57.2 S23 43.2 | 204 11.2 S 4 53.8 | 2 58.5 N11 30.1
22 | 53 48.6 | 189 19.8 S14 46.1 | 152 57.7 S23 43.4 | 219 13.4 S 4 54.0 | 18 01.1 N11 30.1
23 | 68 51.1 | 204 19.2 S14 47.0 | 167 58.1 S23 43.5 | 234 15.5 S 4 54.1 | 33 03.7 N11 30.1
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15 0 | 83 53.6 | 219 18.7 S14 47.9 | 182 58.6 S23 43.6 | 249 17.7 S 4 54.2 | 48 06.2 N11 30.1
1 | 98 56.0 | 234 18.1 S14 48.8 | 197 59.0 S23 43.8 | 264 19.8 S 4 54.3 | 63 08.8 N11 30.0
2 | 113 58.5 | 249 17.6 S14 49.7 | 212 59.5 S23 43.9 | 279 21.9 S 4 54.5 | 78 11.4 N11 30.0
3 | 129 01.0 | 264 17.0 S14 50.6 | 227 59.9 S23 44.0 | 294 24.1 S 4 54.6 | 93 13.9 N11 30.0
4 | 144 03.4 | 279 16.5 S14 51.5 | 243 00.4 S23 44.2 | 309 26.2 S 4 54.7 | 108 16.5 N11 30.0
M 5 | 159 05.9 | 294 15.9 S14 52.4 | 258 00.8 S23 44.3 | 324 28.4 S 4 54.8 | 123 19.1 N11 29.9
O
N 6 | 174 08.4 | 309 15.4 S14 53.3 | 273 01.3 S23 44.5 | 339 30.5 S 4 54.9 | 138 21.7 N11 29.9
D 7 | 189 10.8 | 324 14.9 S14 54.2 | 288 01.7 S23 44.6 | 354 32.7 S 4 55.1 | 153 24.2 N11 29.9
A 8 | 204 13.3 | 339 14.3 S14 55.1 | 303 02.2 S23 44.7 | 9 34.8 S 4 55.2 | 168 26.8 N11 29.9
Y 9 | 219 15.7 | 354 13.8 S14 56.0 | 318 02.6 S23 44.9 | 24 37.0 S 4 55.3 | 183 29.4 N11 29.8
10 | 234 18.2 | 9 13.2 S14 56.9 | 333 03.1 S23 45.0 | 39 39.1 S 4 55.4 | 198 31.9 N11 29.8
11 | 249 20.7 | 24 12.7 S14 57.8 | 348 03.5 S23 45.1 | 54 41.3 S 4 55.6 | 213 34.5 N11 29.8
12 | 264 23.1 | 39 12.1 S14 58.7 | 3 04.0 S23 45.3 | 69 43.4 S 4 55.7 | 228 37.1 N11 29.8
13 | 279 25.6 | 54 11.6 S14 59.5 | 18 04.4 S23 45.4 | 84 45.6 S 4 55.8 | 243 39.6 N11 29.8
14 | 294 28.1 | 69 11.0 S15 00.4 | 33 04.9 S23 45.5 | 99 47.7 S 4 55.9 | 258 42.2 N11 29.7
15 | 309 30.5 | 84 10.5 S15 01.3 | 48 05.3 S23 45.7 | 114 49.9 S 4 56.0 | 273 44.8 N11 29.7
16 | 324 33.0 | 99 09.9 S15 02.2 | 63 05.8 S23 45.8 | 129 52.0 S 4 56.2 | 288 47.4 N11 29.7
17 | 339 35.5 | 114 09.4 S15 03.1 | 78 06.2 S23 45.9 | 144 54.2 S 4 56.3 | 303 49.9 N11 29.7
18 | 354 37.9 | 129 08.8 S15 04.0 | 93 06.7 S23 46.1 | 159 56.3 S 4 56.4 | 318 52.5 N11 29.6
19 | 9 40.4 | 144 08.3 S15 04.9 | 108 07.1 S23 46.2 | 174 58.5 S 4 56.5 | 333 55.1 N11 29.6
20 | 24 42.9 | 159 07.7 S15 05.7 | 123 07.6 S23 46.3 | 190 00.6 S 4 56.6 | 348 57.6 N11 29.6
21 | 39 45.3 | 174 07.1 S15 06.6 | 138 08.0 S23 46.5 | 205 02.8 S 4 56.8 | 4 00.2 N11 29.6
22 | 54 47.8 | 189 06.6 S15 07.5 | 153 08.5 S23 46.6 | 220 04.9 S 4 56.9 | 19 02.8 N11 29.5
23 | 69 50.2 | 204 06.0 S15 08.4 | 168 08.9 S23 46.7 | 235 07.1 S 4 57.0 | 34 05.3 N11 29.5
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| v -0.5 d 0.9 | v 0.5 d 0.1 | v 2.1 d 0.1 | v 2.6 d 0.0
2087 DEC. 13, 14, 15 (SAT, SUN, MON)
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| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
13 0 | 181 31.4 S23 08.0 | 317 14.6 7.7 N14 23.4 8.7 59.4 | Acamar 314 35.6 S39 57.5
1 | 196 31.1 S23 08.1 | 331 41.5 7.8 N14 14.6 8.8 59.4 | Achernar 334 44.9 S56 47.7
2 | 211 30.8 S23 08.3 | 346 08.4 7.9 N14 05.7 8.9 59.3 | Acrux 172 06.6 S63 34.9
3 | 226 30.5 S23 08.5 | 0 35.4 8.0 N13 56.8 8.9 59.3 | Adhara 254 28.2 S29 05.8
4 | 241 30.2 S23 08.6 | 15 02.5 8.1 N13 47.8 9.0 59.3 | Albireo 66 26.1 N28 09.1
S 5 | 256 29.9 S23 08.8 | 29 29.7 8.2 N13 38.7 9.1 59.2 |
A | | | Aldebaran 289 44.8 N16 40.8
T 6 | 271 29.6 S23 09.0 | 43 57.0 8.3 N13 29.6 9.1 59.2 | Alioth 165 31.9 N55 28.7
U 7 | 286 29.3 S23 09.1 | 58 24.4 8.4 N13 20.3 9.2 59.1 | Alkaid 152 15.2 N48 52.3
R 8 | 301 29.0 S23 09.3 | 72 51.9 8.5 N13 11.1 9.3 59.1 | Al Na-ir 26 33.8 S46 32.1
D 9 | 316 28.7 S23 09.4 | 87 19.5 8.6 N13 01.7 9.3 59.1 | Alnilam 274 49.2 S 1 09.1
A 10 | 331 28.4 S23 09.6 | 101 47.2 8.7 N12 52.3 9.4 59.0 |
Y 11 | 346 28.2 S23 09.8 | 116 14.9 8.8 N12 42.8 9.5 59.0 | Alphard 217 00.9 S 9 02.6
| | | Alphecca 125 24.0 N26 25.3
12 | 1 27.9 S23 09.9 | 130 42.8 8.9 N12 33.3 9.5 58.9 | Alpheratz 356 45.4 N29 34.8
13 | 16 27.6 S23 10.1 | 145 10.8 9.0 N12 23.7 9.6 58.9 | Altair 61 14.0 N 9 06.5
14 | 31 27.3 S23 10.2 | 159 38.8 9.1 N12 14.1 9.7 58.9 | Ankaa 352 20.5 S41 49.9
15 | 46 27.0 S23 10.4 | 174 07.0 9.1 N12 04.3 9.7 58.8 |
16 | 61 26.7 S23 10.5 | 188 35.2 9.2 N11 54.6 9.8 58.8 | Antares 111 17.9 S26 37.2
17 | 76 26.4 S23 10.7 | 203 03.5 9.3 N11 44.8 9.8 58.7 | Arcturus 145 04.9 N18 43.5
| | | Atria 105 30.0 S69 10.6
18 | 91 26.1 S23 10.9 | 217 31.9 9.4 N11 34.9 9.9 58.7 | Avior 233 54.5 S59 47.6
19 | 106 25.8 S23 11.0 | 232 00.4 9.5 N11 25.0 9.9 58.7 | Bellatrix 277 31.6 N 6 25.4
20 | 121 25.5 S23 11.2 | 246 29.0 9.6 N11 15.0 10.0 58.6 |
21 | 136 25.2 S23 11.3 | 260 57.7 9.7 N11 05.0 10.0 58.6 | Betelgeuse 270 00.4 N 7 25.0
22 | 151 24.9 S23 11.5 | 275 26.5 9.8 N10 54.9 10.1 58.5 | Canopus 263 30.7 S52 44.8
23 | 166 24.6 S23 11.6 | 289 55.3 9.9 N10 44.8 10.1 58.5 | Capella 279 11.2 N46 04.8
------+-------------------+----------------------------------| Castor 244 56.3 N31 41.2
14 0 | 181 24.3 S23 11.8 | 304 24.3 9.9 N10 34.6 10.2 58.5 | Deneb 48 53.6 N45 36.2
1 | 196 24.0 S23 11.9 | 318 53.3 10.0 N10 24.4 10.2 58.4 |
2 | 211 23.7 S23 12.1 | 333 22.4 10.1 N10 14.2 10.2 58.4 | Denebola 181 36.7 N14 04.7
3 | 226 23.4 S23 12.2 | 347 51.6 10.2 N10 03.9 10.3 58.3 | Diphda 347 59.7 S17 30.3
4 | 241 23.1 S23 12.4 | 2 20.9 10.3 N 9 53.6 10.3 58.3 | Dubhe 192 43.4 N61 16.1
S 5 | 256 22.8 S23 12.5 | 16 50.3 10.4 N 9 43.2 10.4 58.3 | Elnath 277 01.5 N28 40.4
U | | | Eltanin 90 20.7 N51 29.0
N 6 | 271 22.5 S23 12.7 | 31 19.8 10.5 N 9 32.8 10.4 58.2 |
D 7 | 286 22.2 S23 12.8 | 45 49.3 10.5 N 9 22.4 10.4 58.2 | Enif 32 52.3 N10 17.0
A 8 | 301 21.9 S23 12.9 | 60 18.9 10.6 N 9 11.9 10.5 58.1 | Fomalhaut 14 22.4 S29 09.3
Y 9 | 316 21.7 S23 13.1 | 74 48.6 10.7 N 9 01.4 10.5 58.1 | Gacrux 170 58.5 S57 36.1
10 | 331 21.4 S23 13.2 | 89 18.4 10.8 N 8 50.8 10.5 58.0 | Gienah 174 54.7 S18 01.7
11 | 346 21.1 S23 13.4 | 103 48.2 10.9 N 8 40.3 10.6 58.0 | Hadar 147 28.6 S60 47.4
| | |
12 | 1 20.8 S23 13.5 | 118 18.2 10.9 N 8 29.7 10.6 58.0 | Hamal 326 57.3 N23 52.7
13 | 16 20.5 S23 13.6 | 132 48.2 11.0 N 8 19.0 10.6 57.9 | Kaus Austr. 82 30.1 S34 20.2
14 | 31 20.2 S23 13.8 | 147 18.3 11.1 N 8 08.4 10.7 57.9 | Kochab 137 23.5 N73 47.6
15 | 46 19.9 S23 13.9 | 161 48.5 11.2 N 7 57.7 10.7 57.8 | Markab 12 42.6 N15 40.9
16 | 61 19.6 S23 14.1 | 176 18.7 11.2 N 7 47.0 10.7 57.8 | Menkar 313 16.2 N 4 25.9
17 | 76 19.3 S23 14.2 | 190 49.0 11.3 N 7 36.2 10.7 57.8 |
| | | Menkent 147 01.7 S36 47.9
18 | 91 19.0 S23 14.3 | 205 19.4 11.4 N 7 25.5 10.8 57.7 | Miaplacidus 221 26.9 S70 04.7
19 | 106 18.7 S23 14.5 | 219 49.9 11.5 N 7 14.7 10.8 57.7 | Mirfak 307 19.6 N50 10.2
20 | 121 18.4 S23 14.6 | 234 20.4 11.5 N 7 03.9 10.8 57.6 | Nunki 74 49.4 S26 10.8
21 | 136 18.1 S23 14.7 | 248 51.0 11.6 N 6 53.1 10.8 57.6 | Peacock 51 51.8 S56 26.9
22 | 151 17.8 S23 14.9 | 263 21.7 11.7 N 6 42.2 10.8 57.6 |
23 | 166 17.5 S23 15.0 | 277 52.5 11.7 N 6 31.4 10.9 57.5 | Polaris 299 54.8 N89 38.7
------+-------------------+----------------------------------| Pollux 242 19.1 N27 48.3
15 0 | 181 17.2 S23 15.1 | 292 23.3 11.8 N 6 20.5 10.9 57.5 | Procyon 244 00.9 N 4 59.6
1 | 196 16.9 S23 15.3 | 306 54.2 11.9 N 6 09.6 10.9 57.4 | Rasalhague 95 14.9 N12 30.2
2 | 211 16.6 S23 15.4 | 321 25.1 12.0 N 5 58.7 10.9 57.4 | Regulus 206 43.9 N11 31.9
3 | 226 16.3 S23 15.5 | 335 56.1 12.0 N 5 47.7 10.9 57.4 |
4 | 241 16.0 S23 15.6 | 350 27.2 12.1 N 5 36.8 10.9 57.3 | Rigel 280 17.9 S 8 06.4
M 5 | 256 15.7 S23 15.8 | 4 58.4 12.1 N 5 25.9 10.9 57.3 | Rigil Kent 138 35.7 S61 11.4
O | | | Sabik 101 08.7 S15 49.6
N 6 | 271 15.4 S23 15.9 | 19 29.6 12.2 N 5 14.9 11.0 57.2 | Schedar 348 36.3 N57 01.4
D 7 | 286 15.1 S23 16.0 | 34 00.8 12.3 N 5 03.9 11.0 57.2 | Shaula 95 06.3 S37 09.6
A 8 | 301 14.8 S23 16.1 | 48 32.2 12.3 N 4 52.9 11.0 57.2 |
Y 9 | 316 14.5 S23 16.3 | 63 03.6 12.4 N 4 42.0 11.0 57.1 | Sirius 257 44.1 S16 50.5
10 | 331 14.2 S23 16.4 | 77 35.0 12.5 N 4 31.0 11.0 57.1 | Spica 157 32.4 S11 37.1
11 | 346 13.9 S23 16.5 | 92 06.5 12.5 N 4 20.0 11.0 57.1 | Suhail 222 10.9 S43 47.3
| | | Vega 80 01.5 N38 52.3
12 | 1 13.6 S23 16.6 | 106 38.1 12.6 N 4 09.0 11.0 57.0 | Zuben-ubi 136 06.1 S16 24.1
13 | 16 13.3 S23 16.7 | 121 09.7 12.6 N 3 57.9 11.0 57.0 |
14 | 31 13.0 S23 16.9 | 135 41.4 12.7 N 3 46.9 11.0 56.9 |
15 | 46 12.7 S23 17.0 | 150 13.2 12.7 N 3 35.9 11.0 56.9 |
16 | 61 12.4 S23 17.1 | 164 45.0 12.8 N 3 24.9 11.0 56.9 |
17 | 76 12.1 S23 17.2 | 179 16.8 12.8 N 3 13.9 11.0 56.8 |
| | |
18 | 91 11.8 S23 17.3 | 193 48.7 12.9 N 3 02.8 11.0 56.8 |
19 | 106 11.5 S23 17.4 | 208 20.7 13.0 N 2 51.8 11.0 56.7 |
20 | 121 11.2 S23 17.6 | 222 52.7 13.0 N 2 40.8 11.0 56.7 |
21 | 136 10.9 S23 17.7 | 237 24.7 13.1 N 2 29.8 11.0 56.7 |
22 | 151 10.6 S23 17.8 | 251 56.8 13.1 N 2 18.8 11.0 56.6 |
23 | 166 10.3 S23 17.9 | 266 29.0 13.1 N 2 07.8 11.0 56.6 |
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|S.D. 16.2 d 0.1 | S.D. 16.1 15.8 15.5 |
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