
2786 DEC. 18, 19, 20 (THU, FRI, SAT)
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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 | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
18 0 | 86 35.0 | 185 30.9 S22 54.1 | 257 45.3 S 1 41.8 | 263 48.1 N 0 01.4 | 132 49.1 S17 54.8
1 | 101 37.5 | 200 30.0 S22 54.4 | 272 46.6 S 1 42.3 | 278 50.3 N 0 01.3 | 147 51.4 S17 54.7
2 | 116 40.0 | 215 29.0 S22 54.7 | 287 47.9 S 1 42.8 | 293 52.5 N 0 01.2 | 162 53.6 S17 54.6
3 | 131 42.4 | 230 28.1 S22 55.0 | 302 49.2 S 1 43.3 | 308 54.8 N 0 01.2 | 177 55.8 S17 54.6
4 | 146 44.9 | 245 27.2 S22 55.3 | 317 50.5 S 1 43.7 | 323 57.0 N 0 01.1 | 192 58.0 S17 54.5
T 5 | 161 47.4 | 260 26.2 S22 55.6 | 332 51.8 S 1 44.2 | 338 59.3 N 0 01.0 | 208 00.3 S17 54.5
H
U 6 | 176 49.8 | 275 25.3 S22 55.8 | 347 53.1 S 1 44.7 | 354 01.5 N 0 00.9 | 223 02.5 S17 54.4
R 7 | 191 52.3 | 290 24.3 S22 56.1 | 2 54.4 S 1 45.2 | 9 03.7 N 0 00.8 | 238 04.7 S17 54.3
S 8 | 206 54.7 | 305 23.4 S22 56.4 | 17 55.6 S 1 45.6 | 24 06.0 N 0 00.7 | 253 06.9 S17 54.3
D 9 | 221 57.2 | 320 22.5 S22 56.7 | 32 56.9 S 1 46.1 | 39 08.2 N 0 00.7 | 268 09.1 S17 54.2
A 10 | 236 59.7 | 335 21.5 S22 57.0 | 47 58.2 S 1 46.6 | 54 10.5 N 0 00.6 | 283 11.4 S17 54.1
Y 11 | 252 02.1 | 350 20.6 S22 57.3 | 62 59.5 S 1 47.0 | 69 12.7 N 0 00.5 | 298 13.6 S17 54.1
12 | 267 04.6 | 5 19.6 S22 57.5 | 78 00.8 S 1 47.5 | 84 15.0 N 0 00.4 | 313 15.8 S17 54.0
13 | 282 07.1 | 20 18.7 S22 57.8 | 93 02.1 S 1 48.0 | 99 17.2 N 0 00.3 | 328 18.0 S17 53.9
14 | 297 09.5 | 35 17.8 S22 58.1 | 108 03.4 S 1 48.5 | 114 19.5 N 0 00.2 | 343 20.3 S17 53.9
15 | 312 12.0 | 50 16.8 S22 58.4 | 123 04.7 S 1 48.9 | 129 21.7 N 0 00.1 | 358 22.5 S17 53.8
16 | 327 14.5 | 65 15.9 S22 58.6 | 138 05.9 S 1 49.4 | 144 23.9 N 0 00.1 | 13 24.7 S17 53.7
17 | 342 16.9 | 80 15.0 S22 58.9 | 153 07.2 S 1 49.9 | 159 26.2 S 0 00.0 | 28 26.9 S17 53.7
18 | 357 19.4 | 95 14.0 S22 59.2 | 168 08.5 S 1 50.4 | 174 28.4 S 0 00.1 | 43 29.1 S17 53.6
19 | 12 21.8 | 110 13.1 S22 59.5 | 183 09.8 S 1 50.8 | 189 30.7 S 0 00.2 | 58 31.4 S17 53.6
20 | 27 24.3 | 125 12.1 S22 59.7 | 198 11.1 S 1 51.3 | 204 32.9 S 0 00.3 | 73 33.6 S17 53.5
21 | 42 26.8 | 140 11.2 S22 60.0 | 213 12.4 S 1 51.8 | 219 35.2 S 0 00.3 | 88 35.8 S17 53.4
22 | 57 29.2 | 155 10.2 S23 00.3 | 228 13.7 S 1 52.2 | 234 37.4 S 0 00.4 | 103 38.0 S17 53.4
23 | 72 31.7 | 170 09.3 S23 00.5 | 243 15.0 S 1 52.7 | 249 39.7 S 0 00.5 | 118 40.3 S17 53.3
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19 0 | 87 34.2 | 185 08.4 S23 00.8 | 258 16.3 S 1 53.2 | 264 41.9 S 0 00.6 | 133 42.5 S17 53.2
1 | 102 36.6 | 200 07.4 S23 01.1 | 273 17.6 S 1 53.7 | 279 44.2 S 0 00.7 | 148 44.7 S17 53.2
2 | 117 39.1 | 215 06.5 S23 01.3 | 288 18.9 S 1 54.1 | 294 46.4 S 0 00.8 | 163 46.9 S17 53.1
3 | 132 41.6 | 230 05.5 S23 01.6 | 303 20.1 S 1 54.6 | 309 48.7 S 0 00.8 | 178 49.1 S17 53.0
4 | 147 44.0 | 245 04.6 S23 01.8 | 318 21.4 S 1 55.1 | 324 50.9 S 0 00.9 | 193 51.4 S17 53.0
F 5 | 162 46.5 | 260 03.7 S23 02.1 | 333 22.7 S 1 55.5 | 339 53.2 S 0 01.0 | 208 53.6 S17 52.9
R
I 6 | 177 49.0 | 275 02.7 S23 02.4 | 348 24.0 S 1 56.0 | 354 55.4 S 0 01.1 | 223 55.8 S17 52.8
D 7 | 192 51.4 | 290 01.8 S23 02.6 | 3 25.3 S 1 56.5 | 9 57.7 S 0 01.2 | 238 58.0 S17 52.8
A 8 | 207 53.9 | 305 00.8 S23 02.9 | 18 26.6 S 1 57.0 | 24 59.9 S 0 01.2 | 254 00.2 S17 52.7
Y 9 | 222 56.3 | 319 59.9 S23 03.1 | 33 27.9 S 1 57.4 | 40 02.2 S 0 01.3 | 269 02.5 S17 52.6
10 | 237 58.8 | 334 58.9 S23 03.4 | 48 29.2 S 1 57.9 | 55 04.4 S 0 01.4 | 284 04.7 S17 52.6
11 | 253 01.3 | 349 58.0 S23 03.6 | 63 30.5 S 1 58.4 | 70 06.7 S 0 01.5 | 299 06.9 S17 52.5
12 | 268 03.7 | 4 57.1 S23 03.9 | 78 31.8 S 1 58.8 | 85 08.9 S 0 01.6 | 314 09.1 S17 52.5
13 | 283 06.2 | 19 56.1 S23 04.1 | 93 33.1 S 1 59.3 | 100 11.2 S 0 01.7 | 329 11.4 S17 52.4
14 | 298 08.7 | 34 55.2 S23 04.4 | 108 34.4 S 1 59.8 | 115 13.4 S 0 01.7 | 344 13.6 S17 52.3
15 | 313 11.1 | 49 54.2 S23 04.6 | 123 35.7 S 2 00.2 | 130 15.7 S 0 01.8 | 359 15.8 S17 52.3
16 | 328 13.6 | 64 53.3 S23 04.9 | 138 37.0 S 2 00.7 | 145 17.9 S 0 01.9 | 14 18.0 S17 52.2
17 | 343 16.1 | 79 52.3 S23 05.1 | 153 38.3 S 2 01.2 | 160 20.2 S 0 02.0 | 29 20.2 S17 52.1
18 | 358 18.5 | 94 51.4 S23 05.4 | 168 39.6 S 2 01.7 | 175 22.4 S 0 02.1 | 44 22.5 S17 52.1
19 | 13 21.0 | 109 50.4 S23 05.6 | 183 40.9 S 2 02.1 | 190 24.7 S 0 02.1 | 59 24.7 S17 52.0
20 | 28 23.5 | 124 49.5 S23 05.8 | 198 42.1 S 2 02.6 | 205 26.9 S 0 02.2 | 74 26.9 S17 51.9
21 | 43 25.9 | 139 48.5 S23 06.1 | 213 43.4 S 2 03.1 | 220 29.2 S 0 02.3 | 89 29.1 S17 51.9
22 | 58 28.4 | 154 47.6 S23 06.3 | 228 44.7 S 2 03.5 | 235 31.4 S 0 02.4 | 104 31.3 S17 51.8
23 | 73 30.8 | 169 46.7 S23 06.5 | 243 46.0 S 2 04.0 | 250 33.7 S 0 02.5 | 119 33.6 S17 51.7
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20 0 | 88 33.3 | 184 45.7 S23 06.8 | 258 47.3 S 2 04.5 | 265 35.9 S 0 02.5 | 134 35.8 S17 51.7
1 | 103 35.8 | 199 44.8 S23 07.0 | 273 48.6 S 2 04.9 | 280 38.2 S 0 02.6 | 149 38.0 S17 51.6
2 | 118 38.2 | 214 43.8 S23 07.2 | 288 49.9 S 2 05.4 | 295 40.4 S 0 02.7 | 164 40.2 S17 51.5
3 | 133 40.7 | 229 42.9 S23 07.5 | 303 51.2 S 2 05.9 | 310 42.7 S 0 02.8 | 179 42.4 S17 51.5
4 | 148 43.2 | 244 41.9 S23 07.7 | 318 52.5 S 2 06.3 | 325 44.9 S 0 02.9 | 194 44.6 S17 51.4
S 5 | 163 45.6 | 259 41.0 S23 07.9 | 333 53.8 S 2 06.8 | 340 47.2 S 0 02.9 | 209 46.9 S17 51.3
A
T 6 | 178 48.1 | 274 40.0 S23 08.2 | 348 55.1 S 2 07.3 | 355 49.5 S 0 03.0 | 224 49.1 S17 51.3
U 7 | 193 50.6 | 289 39.1 S23 08.4 | 3 56.4 S 2 07.7 | 10 51.7 S 0 03.1 | 239 51.3 S17 51.2
R 8 | 208 53.0 | 304 38.1 S23 08.6 | 18 57.7 S 2 08.2 | 25 54.0 S 0 03.2 | 254 53.5 S17 51.2
D 9 | 223 55.5 | 319 37.2 S23 08.8 | 33 59.0 S 2 08.7 | 40 56.2 S 0 03.2 | 269 55.7 S17 51.1
A 10 | 238 57.9 | 334 36.2 S23 09.1 | 49 00.3 S 2 09.1 | 55 58.5 S 0 03.3 | 284 58.0 S17 51.0
Y 11 | 254 00.4 | 349 35.3 S23 09.3 | 64 01.6 S 2 09.6 | 71 00.7 S 0 03.4 | 300 00.2 S17 51.0
12 | 269 02.9 | 4 34.3 S23 09.5 | 79 02.9 S 2 10.1 | 86 03.0 S 0 03.5 | 315 02.4 S17 50.9
13 | 284 05.3 | 19 33.4 S23 09.7 | 94 04.2 S 2 10.5 | 101 05.2 S 0 03.6 | 330 04.6 S17 50.8
14 | 299 07.8 | 34 32.4 S23 09.9 | 109 05.5 S 2 11.0 | 116 07.5 S 0 03.6 | 345 06.8 S17 50.8
15 | 314 10.3 | 49 31.5 S23 10.2 | 124 06.8 S 2 11.5 | 131 09.8 S 0 03.7 | 0 09.0 S17 50.7
16 | 329 12.7 | 64 30.5 S23 10.4 | 139 08.1 S 2 11.9 | 146 12.0 S 0 03.8 | 15 11.3 S17 50.6
17 | 344 15.2 | 79 29.6 S23 10.6 | 154 09.4 S 2 12.4 | 161 14.3 S 0 03.9 | 30 13.5 S17 50.6
18 | 359 17.7 | 94 28.6 S23 10.8 | 169 10.7 S 2 12.9 | 176 16.5 S 0 04.0 | 45 15.7 S17 50.5
19 | 14 20.1 | 109 27.7 S23 11.0 | 184 12.0 S 2 13.3 | 191 18.8 S 0 04.0 | 60 17.9 S17 50.4
20 | 29 22.6 | 124 26.7 S23 11.2 | 199 13.3 S 2 13.8 | 206 21.0 S 0 04.1 | 75 20.1 S17 50.4
21 | 44 25.1 | 139 25.8 S23 11.4 | 214 14.6 S 2 14.3 | 221 23.3 S 0 04.2 | 90 22.4 S17 50.3
22 | 59 27.5 | 154 24.8 S23 11.6 | 229 15.9 S 2 14.7 | 236 25.6 S 0 04.3 | 105 24.6 S17 50.2
23 | 74 30.0 | 169 23.9 S23 11.9 | 244 17.2 S 2 15.2 | 251 27.8 S 0 04.3 | 120 26.8 S17 50.2
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| v -0.9 d 0.2 | v 1.3 d 0.5 | v 2.3 d 0.1 | v 2.2 d 0.1
2786 DEC. 18, 19, 20 (THU, FRI, SAT)
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| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
18 0 | 181 18.0 S23 16.1 | 119 02.6 12.6 S17 48.1 11.8 56.0 | Acamar 307 54.6 S37 11.3
1 | 196 17.7 S23 16.2 | 133 34.3 12.7 S17 36.2 11.9 56.0 | Achernar 328 11.8 S53 16.2
2 | 211 17.4 S23 16.3 | 148 06.0 12.7 S17 24.3 12.0 56.0 | Acrux 162 15.6 S67 26.0
3 | 226 17.1 S23 16.4 | 162 37.8 12.8 S17 12.2 12.1 56.1 | Adhara 247 32.7 S30 04.1
4 | 241 16.8 S23 16.5 | 177 09.6 12.8 S17 00.1 12.1 56.1 | Albireo 59 20.1 N29 38.2
T 5 | 256 16.5 S23 16.5 | 191 41.4 12.9 S16 47.8 12.2 56.1 |
H | | | Aldebaran 279 39.9 N18 02.6
U 6 | 271 16.2 S23 16.6 | 206 13.3 12.9 S16 35.5 12.3 56.1 | Alioth 157 49.3 N51 42.5
R 7 | 286 16.0 S23 16.7 | 220 45.3 12.9 S16 23.1 12.4 56.2 | Alkaid 145 19.3 N45 24.6
S 8 | 301 15.7 S23 16.8 | 235 17.3 13.0 S16 10.7 12.5 56.2 | Al Na-ir 15 34.3 S43 08.8
D 9 | 316 15.4 S23 16.8 | 249 49.3 13.0 S15 58.1 12.6 56.2 | Alnilam 265 54.2 S 0 44.5
A 10 | 331 15.1 S23 16.9 | 264 21.3 13.1 S15 45.5 12.6 56.2 |
Y 11 | 346 14.8 S23 17.0 | 278 53.4 13.1 S15 32.7 12.7 56.3 | Alphard 208 23.0 S12 04.9
| | | Alphecca 117 56.6 N24 06.1
12 | 1 14.5 S23 17.1 | 293 25.5 13.1 S15 19.9 12.8 56.3 | Alpheratz 347 39.3 N33 25.3
13 | 16 14.2 S23 17.1 | 307 57.7 13.2 S15 07.0 12.9 56.3 | Altair 52 39.8 N10 58.5
14 | 31 13.9 S23 17.2 | 322 29.9 13.2 S14 54.1 13.0 56.3 | Ankaa 343 41.1 S38 03.5
15 | 46 13.6 S23 17.3 | 337 02.1 13.2 S14 41.0 13.0 56.4 |
16 | 61 13.3 S23 17.4 | 351 34.4 13.3 S14 27.9 13.1 56.4 | Antares 100 31.7 S28 07.6
17 | 76 13.0 S23 17.4 | 6 06.7 13.3 S14 14.7 13.2 56.4 | Arcturus 137 03.5 N15 07.0
| | | Atria 86 53.3 S70 23.2
18 | 91 12.7 S23 17.5 | 20 39.0 13.3 S14 01.4 13.3 56.5 | Avior 230 16.2 S62 02.6
19 | 106 12.4 S23 17.6 | 35 11.3 13.4 S13 48.1 13.3 56.5 | Bellatrix 268 06.3 N 7 01.0
20 | 121 12.1 S23 17.6 | 49 43.7 13.4 S13 34.7 13.4 56.5 |
21 | 136 11.8 S23 17.7 | 64 16.1 13.4 S13 21.2 13.5 56.5 | Betelgeuse 260 29.9 N 7 30.6
22 | 151 11.5 S23 17.8 | 78 48.6 13.4 S13 07.6 13.6 56.6 | Canopus 259 33.7 S53 08.5
23 | 166 11.2 S23 17.8 | 93 21.1 13.5 S12 54.0 13.6 56.6 | Capella 266 13.7 N46 44.2
------+-------------------+----------------------------------| Castor 233 46.0 N30 07.4
19 0 | 181 10.9 S23 17.9 | 107 53.6 13.5 S12 40.3 13.7 56.6 | Deneb 42 52.8 N48 06.3
1 | 196 10.6 S23 17.9 | 122 26.1 13.5 S12 26.5 13.8 56.7 |
2 | 211 10.3 S23 18.0 | 136 58.6 13.5 S12 12.7 13.8 56.7 | Denebola 172 39.7 N10 11.1
3 | 226 10.0 S23 18.1 | 151 31.2 13.6 S11 58.7 13.9 56.7 | Diphda 339 11.1 S13 41.5
4 | 241 09.7 S23 18.1 | 166 03.8 13.6 S11 44.8 14.0 56.7 | Dubhe 181 59.8 N57 29.9
F 5 | 256 09.5 S23 18.2 | 180 36.4 13.6 S11 30.7 14.0 56.8 | Elnath 265 55.9 N29 13.1
R | | | Eltanin 86 13.0 N51 24.8
I 6 | 271 09.2 S23 18.2 | 195 09.0 13.6 S11 16.6 14.1 56.8 |
D 7 | 286 08.9 S23 18.3 | 209 41.7 13.7 S11 02.4 14.2 56.8 | Enif 24 14.7 N13 29.6
A 8 | 301 08.6 S23 18.4 | 224 14.4 13.7 S10 48.2 14.2 56.9 | Fomalhaut 4 42.1 S25 27.5
Y 9 | 316 08.3 S23 18.4 | 238 47.0 13.7 S10 33.9 14.3 56.9 | Gacrux 161 10.2 S61 29.6
10 | 331 08.0 S23 18.5 | 253 19.8 13.7 S10 19.6 14.4 56.9 | Gienah 165 51.9 S21 53.5
11 | 346 07.7 S23 18.5 | 267 52.5 13.7 S10 05.1 14.4 56.9 | Hadar 135 00.4 S64 07.4
| | |
12 | 1 07.4 S23 18.6 | 282 25.2 13.7 S 9 50.7 14.5 57.0 | Hamal 317 02.1 N27 08.9
13 | 16 07.1 S23 18.6 | 296 58.0 13.7 S 9 36.1 14.5 57.0 | Kaus Austr. 70 52.3 S33 57.9
14 | 31 06.8 S23 18.7 | 311 30.7 13.8 S 9 21.6 14.6 57.0 | Kochab 137 40.2 N70 56.5
15 | 46 06.5 S23 18.7 | 326 03.5 13.8 S 9 06.9 14.6 57.1 | Markab 3 57.2 N19 26.1
16 | 61 06.2 S23 18.8 | 340 36.3 13.8 S 8 52.2 14.7 57.1 | Menkar 304 04.6 N 7 08.1
17 | 76 05.9 S23 18.8 | 355 09.1 13.8 S 8 37.4 14.8 57.1 |
| | | Menkent 136 39.9 S40 12.1
18 | 91 05.6 S23 18.9 | 9 41.9 13.8 S 8 22.6 14.8 57.2 | Miaplacidus 219 30.5 S72 56.9
19 | 106 05.3 S23 18.9 | 24 14.7 13.8 S 8 07.8 14.9 57.2 | Mirfak 294 45.5 N52 36.6
20 | 121 05.0 S23 19.0 | 38 47.5 13.8 S 7 52.9 14.9 57.2 | Nunki 63 57.7 S25 16.6
21 | 136 04.7 S23 19.0 | 53 20.3 13.8 S 7 37.9 15.0 57.3 | Peacock 38 05.4 S54 10.6
22 | 151 04.4 S23 19.1 | 67 53.1 13.8 S 7 22.9 15.0 57.3 |
23 | 166 04.1 S23 19.1 | 82 25.9 13.8 S 7 07.8 15.1 57.3 | Polaris 123 50.9 N92 47.0
------+-------------------+----------------------------------| Pollux 231 36.3 N26 05.2
20 0 | 181 03.8 S23 19.2 | 96 58.7 13.8 S 6 52.7 15.1 57.3 | Procyon 234 49.9 N 3 10.5
1 | 196 03.5 S23 19.2 | 111 31.5 13.8 S 6 37.5 15.2 57.4 | Rasalhague 87 05.1 N12 01.6
2 | 211 03.2 S23 19.3 | 126 04.4 13.8 S 6 22.3 15.2 57.4 | Regulus 197 23.7 N 8 06.8
3 | 226 02.9 S23 19.3 | 140 37.2 13.8 S 6 07.1 15.2 57.4 |
4 | 241 02.6 S23 19.3 | 155 10.0 13.8 S 5 51.8 15.3 57.5 | Rigel 271 50.9 S 7 20.0
S 5 | 256 02.3 S23 19.4 | 169 42.8 13.8 S 5 36.5 15.3 57.5 | Rigil Kent 126 36.3 S64 02.1
A | | | Sabik 91 04.5 S16 39.1
T 6 | 271 02.0 S23 19.4 | 184 15.6 13.8 S 5 21.1 15.4 57.5 | Schedar 338 34.4 N60 50.1
U 7 | 286 01.7 S23 19.5 | 198 48.4 13.8 S 5 05.7 15.4 57.6 | Shaula 83 11.8 S37 37.3
R 8 | 301 01.4 S23 19.5 | 213 21.2 13.8 S 4 50.2 15.5 57.6 |
D 9 | 316 01.1 S23 19.5 | 227 53.9 13.8 S 4 34.7 15.5 57.6 | Sirius 249 59.3 S17 49.6
A 10 | 331 00.8 S23 19.6 | 242 26.7 13.8 S 4 19.2 15.5 57.7 | Spica 148 16.4 S15 14.2
Y 11 | 346 00.5 S23 19.6 | 256 59.4 13.7 S 4 03.6 15.6 57.7 | Suhail 215 41.5 S46 36.9
| | | Vega 74 03.0 N39 32.4
12 | 1 00.2 S23 19.6 | 271 32.1 13.7 S 3 48.0 15.6 57.7 | Zuben-ubi 126 39.5 S19 16.2
13 | 15 59.9 S23 19.7 | 286 04.9 13.7 S 3 32.4 15.6 57.8 |
14 | 30 59.6 S23 19.7 | 300 37.6 13.7 S 3 16.7 15.7 57.8 |
15 | 45 59.3 S23 19.7 | 315 10.2 13.7 S 3 01.0 15.7 57.8 |
16 | 60 59.0 S23 19.8 | 329 42.9 13.7 S 2 45.2 15.7 57.9 |
17 | 75 58.8 S23 19.8 | 344 15.5 13.6 S 2 29.5 15.8 57.9 |
| | |
18 | 90 58.5 S23 19.8 | 358 48.1 13.6 S 2 13.7 15.8 57.9 |
19 | 105 58.2 S23 19.9 | 13 20.7 13.6 S 1 57.8 15.8 58.0 |
20 | 120 57.9 S23 19.9 | 27 53.3 13.6 S 1 42.0 15.9 58.0 |
21 | 135 57.6 S23 19.9 | 42 25.8 13.5 S 1 26.1 15.9 58.0 |
22 | 150 57.3 S23 19.9 | 56 58.3 13.5 S 1 10.2 15.9 58.1 |
23 | 165 57.0 S23 20.0 | 71 30.8 13.5 S 0 54.2 15.9 58.1 |
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|S.D. 16.2 d 0.1 | S.D. 15.3 15.5 15.7 |
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