
2171 DEC. 19, 20, 21 (THU, FRI, SAT)
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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 | 87 29.5 | 136 31.0 S20 18.4 | 259 07.1 S 1 29.9 | 228 24.2 S14 08.5 | 102 26.7 S 8 29.9
1 | 102 32.0 | 151 30.4 S20 17.6 | 274 08.4 S 1 30.4 | 243 26.3 S14 08.6 | 117 29.1 S 8 29.8
2 | 117 34.4 | 166 29.8 S20 16.8 | 289 09.7 S 1 30.8 | 258 28.3 S14 08.8 | 132 31.4 S 8 29.8
3 | 132 36.9 | 181 29.3 S20 16.0 | 304 11.0 S 1 31.3 | 273 30.3 S14 08.9 | 147 33.7 S 8 29.7
4 | 147 39.4 | 196 28.7 S20 15.2 | 319 12.3 S 1 31.8 | 288 32.3 S14 09.1 | 162 36.1 S 8 29.6
T 5 | 162 41.8 | 211 28.1 S20 14.4 | 334 13.6 S 1 32.2 | 303 34.3 S14 09.2 | 177 38.4 S 8 29.6
H
U 6 | 177 44.3 | 226 27.5 S20 13.6 | 349 14.9 S 1 32.7 | 318 36.3 S14 09.3 | 192 40.7 S 8 29.5
R 7 | 192 46.7 | 241 26.9 S20 12.8 | 4 16.2 S 1 33.2 | 333 38.4 S14 09.5 | 207 43.1 S 8 29.5
S 8 | 207 49.2 | 256 26.3 S20 12.0 | 19 17.5 S 1 33.7 | 348 40.4 S14 09.6 | 222 45.4 S 8 29.4
D 9 | 222 51.7 | 271 25.7 S20 11.2 | 34 18.8 S 1 34.1 | 3 42.4 S14 09.7 | 237 47.7 S 8 29.3
A 10 | 237 54.1 | 286 25.1 S20 10.3 | 49 20.1 S 1 34.6 | 18 44.4 S14 09.9 | 252 50.1 S 8 29.3
Y 11 | 252 56.6 | 301 24.5 S20 09.5 | 64 21.4 S 1 35.1 | 33 46.4 S14 10.0 | 267 52.4 S 8 29.2
12 | 267 59.1 | 316 24.0 S20 08.7 | 79 22.7 S 1 35.6 | 48 48.5 S14 10.1 | 282 54.7 S 8 29.2
13 | 283 01.5 | 331 23.4 S20 07.9 | 94 24.0 S 1 36.0 | 63 50.5 S14 10.3 | 297 57.1 S 8 29.1
14 | 298 04.0 | 346 22.8 S20 07.1 | 109 25.3 S 1 36.5 | 78 52.5 S14 10.4 | 312 59.4 S 8 29.0
15 | 313 06.5 | 1 22.2 S20 06.3 | 124 26.6 S 1 37.0 | 93 54.5 S14 10.6 | 328 01.7 S 8 29.0
16 | 328 08.9 | 16 21.6 S20 05.4 | 139 27.9 S 1 37.4 | 108 56.5 S14 10.7 | 343 04.0 S 8 28.9
17 | 343 11.4 | 31 21.0 S20 04.6 | 154 29.2 S 1 37.9 | 123 58.6 S14 10.8 | 358 06.4 S 8 28.9
18 | 358 13.9 | 46 20.5 S20 03.8 | 169 30.5 S 1 38.4 | 139 00.6 S14 11.0 | 13 08.7 S 8 28.8
19 | 13 16.3 | 61 19.9 S20 03.0 | 184 31.8 S 1 38.9 | 154 02.6 S14 11.1 | 28 11.0 S 8 28.7
20 | 28 18.8 | 76 19.3 S20 02.1 | 199 33.1 S 1 39.3 | 169 04.6 S14 11.2 | 43 13.4 S 8 28.7
21 | 43 21.2 | 91 18.7 S20 01.3 | 214 34.4 S 1 39.8 | 184 06.6 S14 11.4 | 58 15.7 S 8 28.6
22 | 58 23.7 | 106 18.1 S20 00.5 | 229 35.7 S 1 40.3 | 199 08.6 S14 11.5 | 73 18.0 S 8 28.6
23 | 73 26.2 | 121 17.6 S19 59.7 | 244 37.0 S 1 40.7 | 214 10.7 S14 11.6 | 88 20.4 S 8 28.5
------+----------+-------------------+-------------------+-------------------+--------------------
20 0 | 88 28.6 | 136 17.0 S19 58.8 | 259 38.3 S 1 41.2 | 229 12.7 S14 11.8 | 103 22.7 S 8 28.4
1 | 103 31.1 | 151 16.4 S19 58.0 | 274 39.6 S 1 41.7 | 244 14.7 S14 11.9 | 118 25.0 S 8 28.4
2 | 118 33.6 | 166 15.8 S19 57.2 | 289 40.9 S 1 42.2 | 259 16.7 S14 12.0 | 133 27.4 S 8 28.3
3 | 133 36.0 | 181 15.3 S19 56.3 | 304 42.2 S 1 42.6 | 274 18.7 S14 12.2 | 148 29.7 S 8 28.2
4 | 148 38.5 | 196 14.7 S19 55.5 | 319 43.5 S 1 43.1 | 289 20.8 S14 12.3 | 163 32.0 S 8 28.2
F 5 | 163 41.0 | 211 14.1 S19 54.7 | 334 44.8 S 1 43.6 | 304 22.8 S14 12.4 | 178 34.4 S 8 28.1
R
I 6 | 178 43.4 | 226 13.5 S19 53.8 | 349 46.1 S 1 44.0 | 319 24.8 S14 12.6 | 193 36.7 S 8 28.1
D 7 | 193 45.9 | 241 13.0 S19 53.0 | 4 47.4 S 1 44.5 | 334 26.8 S14 12.7 | 208 39.0 S 8 28.0
A 8 | 208 48.4 | 256 12.4 S19 52.2 | 19 48.7 S 1 45.0 | 349 28.9 S14 12.9 | 223 41.3 S 8 27.9
Y 9 | 223 50.8 | 271 11.8 S19 51.3 | 34 50.0 S 1 45.5 | 4 30.9 S14 13.0 | 238 43.7 S 8 27.9
10 | 238 53.3 | 286 11.3 S19 50.5 | 49 51.3 S 1 45.9 | 19 32.9 S14 13.1 | 253 46.0 S 8 27.8
11 | 253 55.7 | 301 10.7 S19 49.7 | 64 52.6 S 1 46.4 | 34 34.9 S14 13.3 | 268 48.3 S 8 27.8
12 | 268 58.2 | 316 10.1 S19 48.8 | 79 54.0 S 1 46.9 | 49 36.9 S14 13.4 | 283 50.7 S 8 27.7
13 | 284 00.7 | 331 09.6 S19 48.0 | 94 55.3 S 1 47.3 | 64 39.0 S14 13.5 | 298 53.0 S 8 27.6
14 | 299 03.1 | 346 09.0 S19 47.2 | 109 56.6 S 1 47.8 | 79 41.0 S14 13.7 | 313 55.3 S 8 27.6
15 | 314 05.6 | 1 08.4 S19 46.3 | 124 57.9 S 1 48.3 | 94 43.0 S14 13.8 | 328 57.6 S 8 27.5
16 | 329 08.1 | 16 07.9 S19 45.5 | 139 59.2 S 1 48.7 | 109 45.0 S14 13.9 | 343 60.0 S 8 27.4
17 | 344 10.5 | 31 07.3 S19 44.6 | 155 00.5 S 1 49.2 | 124 47.0 S14 14.1 | 359 02.3 S 8 27.4
18 | 359 13.0 | 46 06.7 S19 43.8 | 170 01.8 S 1 49.7 | 139 49.1 S14 14.2 | 14 04.6 S 8 27.3
19 | 14 15.5 | 61 06.2 S19 42.9 | 185 03.1 S 1 50.1 | 154 51.1 S14 14.3 | 29 07.0 S 8 27.3
20 | 29 17.9 | 76 05.6 S19 42.1 | 200 04.4 S 1 50.6 | 169 53.1 S14 14.5 | 44 09.3 S 8 27.2
21 | 44 20.4 | 91 05.0 S19 41.2 | 215 05.7 S 1 51.1 | 184 55.1 S14 14.6 | 59 11.6 S 8 27.1
22 | 59 22.8 | 106 04.5 S19 40.4 | 230 07.0 S 1 51.5 | 199 57.2 S14 14.7 | 74 13.9 S 8 27.1
23 | 74 25.3 | 121 03.9 S19 39.5 | 245 08.3 S 1 52.0 | 214 59.2 S14 14.9 | 89 16.3 S 8 27.0
------+----------+-------------------+-------------------+-------------------+--------------------
21 0 | 89 27.8 | 136 03.4 S19 38.7 | 260 09.6 S 1 52.5 | 230 01.2 S14 15.0 | 104 18.6 S 8 26.9
1 | 104 30.2 | 151 02.8 S19 37.8 | 275 11.0 S 1 53.0 | 245 03.2 S14 15.1 | 119 20.9 S 8 26.9
2 | 119 32.7 | 166 02.2 S19 37.0 | 290 12.3 S 1 53.4 | 260 05.3 S14 15.3 | 134 23.3 S 8 26.8
3 | 134 35.2 | 181 01.7 S19 36.1 | 305 13.6 S 1 53.9 | 275 07.3 S14 15.4 | 149 25.6 S 8 26.8
4 | 149 37.6 | 196 01.1 S19 35.3 | 320 14.9 S 1 54.4 | 290 09.3 S14 15.5 | 164 27.9 S 8 26.7
S 5 | 164 40.1 | 211 00.6 S19 34.4 | 335 16.2 S 1 54.8 | 305 11.3 S14 15.7 | 179 30.2 S 8 26.6
A
T 6 | 179 42.6 | 226 00.0 S19 33.6 | 350 17.5 S 1 55.3 | 320 13.3 S14 15.8 | 194 32.6 S 8 26.6
U 7 | 194 45.0 | 240 59.5 S19 32.7 | 5 18.8 S 1 55.8 | 335 15.4 S14 15.9 | 209 34.9 S 8 26.5
R 8 | 209 47.5 | 255 58.9 S19 31.9 | 20 20.1 S 1 56.2 | 350 17.4 S14 16.1 | 224 37.2 S 8 26.4
D 9 | 224 50.0 | 270 58.3 S19 31.0 | 35 21.4 S 1 56.7 | 5 19.4 S14 16.2 | 239 39.5 S 8 26.4
A 10 | 239 52.4 | 285 57.8 S19 30.2 | 50 22.7 S 1 57.2 | 20 21.4 S14 16.3 | 254 41.9 S 8 26.3
Y 11 | 254 54.9 | 300 57.2 S19 29.3 | 65 24.1 S 1 57.6 | 35 23.5 S14 16.5 | 269 44.2 S 8 26.2
12 | 269 57.3 | 315 56.7 S19 28.4 | 80 25.4 S 1 58.1 | 50 25.5 S14 16.6 | 284 46.5 S 8 26.2
13 | 284 59.8 | 330 56.1 S19 27.6 | 95 26.7 S 1 58.6 | 65 27.5 S14 16.7 | 299 48.8 S 8 26.1
14 | 300 02.3 | 345 55.6 S19 26.7 | 110 28.0 S 1 59.0 | 80 29.5 S14 16.9 | 314 51.2 S 8 26.1
15 | 315 04.7 | 0 55.0 S19 25.9 | 125 29.3 S 1 59.5 | 95 31.6 S14 17.0 | 329 53.5 S 8 26.0
16 | 330 07.2 | 15 54.5 S19 25.0 | 140 30.6 S 1 60.0 | 110 33.6 S14 17.1 | 344 55.8 S 8 25.9
17 | 345 09.7 | 30 53.9 S19 24.1 | 155 31.9 S 2 00.4 | 125 35.6 S14 17.3 | 359 58.1 S 8 25.9
18 | 0 12.1 | 45 53.4 S19 23.3 | 170 33.2 S 2 00.9 | 140 37.6 S14 17.4 | 15 00.5 S 8 25.8
19 | 15 14.6 | 60 52.8 S19 22.4 | 185 34.6 S 2 01.3 | 155 39.7 S14 17.5 | 30 02.8 S 8 25.7
20 | 30 17.1 | 75 52.3 S19 21.5 | 200 35.9 S 2 01.8 | 170 41.7 S14 17.7 | 45 05.1 S 8 25.7
21 | 45 19.5 | 90 51.8 S19 20.7 | 215 37.2 S 2 02.3 | 185 43.7 S14 17.8 | 60 07.4 S 8 25.6
22 | 60 22.0 | 105 51.2 S19 19.8 | 230 38.5 S 2 02.7 | 200 45.7 S14 17.9 | 75 09.8 S 8 25.5
23 | 75 24.5 | 120 50.7 S19 18.9 | 245 39.8 S 2 03.2 | 215 47.8 S14 18.1 | 90 12.1 S 8 25.5
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| v -0.6 d 0.8 | v 1.3 d 0.5 | v 2.0 d 0.1 | v 2.3 d 0.1
2171 DEC. 19, 20, 21 (THU, FRI, SAT)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
19 0 | 180 53.4 S23 22.9 | 283 02.1 13.2 N11 24.7 13.9 57.0 | Acamar 313 47.8 S39 37.4
1 | 195 53.1 S23 23.0 | 297 34.4 13.2 N11 10.7 14.0 57.1 | Achernar 333 58.0 S56 22.3
2 | 210 52.8 S23 23.0 | 312 06.6 13.3 N10 56.7 14.1 57.1 | Acrux 170 56.5 S64 02.6
3 | 225 52.5 S23 23.1 | 326 38.9 13.3 N10 42.5 14.1 57.1 | Adhara 253 38.8 S29 12.6
4 | 240 52.2 S23 23.1 | 341 11.2 13.3 N10 28.4 14.2 57.1 | Albireo 65 35.5 N28 19.6
T 5 | 255 51.9 S23 23.2 | 355 43.5 13.3 N10 14.1 14.2 57.2 |
H | | | Aldebaran 288 32.7 N16 50.8
U 6 | 270 51.6 S23 23.3 | 10 15.9 13.3 N 9 59.8 14.3 57.2 | Alioth 164 36.5 N55 01.6
R 7 | 285 51.3 S23 23.3 | 24 48.2 13.3 N 9 45.5 14.4 57.2 | Alkaid 151 25.5 N48 27.3
S 8 | 300 51.0 S23 23.4 | 39 20.6 13.4 N 9 31.1 14.4 57.3 | Al Na-ir 25 15.0 S46 07.8
D 9 | 315 50.7 S23 23.4 | 53 52.9 13.4 N 9 16.6 14.5 57.3 | Alnilam 273 45.4 S 1 06.0
A 10 | 330 50.4 S23 23.5 | 68 25.3 13.4 N 9 02.0 14.5 57.3 |
Y 11 | 345 50.1 S23 23.5 | 82 57.7 13.4 N 8 47.5 14.6 57.4 | Alphard 215 59.2 S 9 24.4
| | | Alphecca 124 30.6 N26 08.4
12 | 0 49.8 S23 23.6 | 97 30.1 13.4 N 8 32.8 14.6 57.4 | Alpheratz 355 40.5 N30 02.5
13 | 15 49.5 S23 23.6 | 112 02.5 13.4 N 8 18.1 14.7 57.4 | Altair 60 12.7 N 9 19.7
14 | 30 49.1 S23 23.7 | 126 34.9 13.4 N 8 03.4 14.7 57.5 | Ankaa 351 18.5 S41 22.8
15 | 45 48.8 S23 23.7 | 141 07.4 13.4 N 7 48.6 14.8 57.5 |
16 | 60 48.5 S23 23.8 | 155 39.8 13.4 N 7 33.7 14.9 57.5 | Antares 110 00.9 S26 48.2
17 | 75 48.2 S23 23.8 | 170 12.2 13.4 N 7 18.8 14.9 57.5 | Arcturus 144 07.5 N18 17.4
| | | Atria 103 16.6 S69 19.5
18 | 90 47.9 S23 23.9 | 184 44.6 13.4 N 7 03.9 15.0 57.6 | Avior 233 28.9 S60 03.6
19 | 105 47.6 S23 23.9 | 199 17.1 13.4 N 6 48.9 15.0 57.6 | Bellatrix 276 24.2 N 6 29.8
20 | 120 47.3 S23 23.9 | 213 49.5 13.4 N 6 33.8 15.0 57.6 |
21 | 135 47.0 S23 24.0 | 228 21.9 13.4 N 6 18.7 15.1 57.7 | Betelgeuse 268 52.4 N 7 25.9
22 | 150 46.7 S23 24.0 | 242 54.3 13.4 N 6 03.6 15.1 57.7 | Canopus 263 02.7 S52 47.5
23 | 165 46.4 S23 24.1 | 257 26.7 13.4 N 5 48.4 15.2 57.7 | Capella 277 38.4 N46 09.7
------+-------------------+----------------------------------| Castor 243 36.3 N31 30.2
20 0 | 180 46.1 S23 24.1 | 271 59.2 13.4 N 5 33.2 15.2 57.8 | Deneb 48 10.9 N45 54.0
1 | 195 45.8 S23 24.2 | 286 31.6 13.4 N 5 17.9 15.3 57.8 |
2 | 210 45.5 S23 24.2 | 301 04.0 13.4 N 5 02.6 15.3 57.8 | Denebola 180 32.6 N13 36.7
3 | 225 45.2 S23 24.2 | 315 36.3 13.4 N 4 47.3 15.3 57.9 | Diphda 346 56.7 S17 02.9
4 | 240 44.8 S23 24.3 | 330 08.7 13.4 N 4 31.9 15.4 57.9 | Dubhe 191 26.2 N60 49.0
F 5 | 255 44.5 S23 24.3 | 344 41.1 13.4 N 4 16.5 15.4 57.9 | Elnath 275 42.1 N28 44.5
R | | | Eltanin 89 51.4 N51 28.2
I 6 | 270 44.2 S23 24.3 | 359 13.4 13.4 N 4 01.0 15.5 58.0 |
D 7 | 285 43.9 S23 24.4 | 13 45.8 13.3 N 3 45.5 15.5 58.0 | Enif 31 50.7 N10 40.0
A 8 | 300 43.6 S23 24.4 | 28 18.1 13.3 N 3 30.0 15.5 58.0 | Fomalhaut 13 13.2 S28 42.8
Y 9 | 315 43.3 S23 24.4 | 42 50.4 13.3 N 3 14.4 15.6 58.1 | Gacrux 169 48.6 S58 04.1
10 | 330 43.0 S23 24.5 | 57 22.7 13.3 N 2 58.8 15.6 58.1 | Gienah 173 50.1 S18 29.5
11 | 345 42.7 S23 24.5 | 71 54.9 13.3 N 2 43.2 15.6 58.1 | Hadar 145 59.6 S61 11.5
| | |
12 | 0 42.4 S23 24.5 | 86 27.2 13.2 N 2 27.5 15.7 58.2 | Hamal 325 46.4 N24 16.3
13 | 15 42.1 S23 24.6 | 100 59.4 13.2 N 2 11.8 15.7 58.2 | Kaus Austr. 81 06.8 S34 17.7
14 | 30 41.8 S23 24.6 | 115 31.6 13.2 N 1 56.1 15.7 58.2 | Kochab 137 25.3 N73 26.9
15 | 45 41.5 S23 24.6 | 130 03.8 13.2 N 1 40.4 15.7 58.3 | Markab 11 40.1 N16 07.9
16 | 60 41.2 S23 24.7 | 144 35.9 13.1 N 1 24.6 15.8 58.3 | Menkar 312 10.5 N 4 45.4
17 | 75 40.8 S23 24.7 | 159 08.1 13.1 N 1 08.8 15.8 58.3 |
| | | Menkent 145 47.7 S37 12.5
18 | 90 40.5 S23 24.7 | 173 40.2 13.1 N 0 53.0 15.8 58.3 | Miaplacidus 221 13.7 S70 25.2
19 | 105 40.2 S23 24.7 | 188 12.2 13.1 N 0 37.2 15.8 58.4 | Mirfak 305 49.8 N50 28.0
20 | 120 39.9 S23 24.8 | 202 44.2 13.0 N 0 21.3 15.9 58.4 | Nunki 73 31.6 S26 04.5
21 | 135 39.6 S23 24.8 | 217 16.2 13.0 N 0 05.5 15.9 58.4 | Peacock 50 12.9 S56 10.7
22 | 150 39.3 S23 24.8 | 231 48.2 13.0 S 0 10.4 15.9 58.5 |
23 | 165 39.0 S23 24.8 | 246 20.1 12.9 S 0 26.4 15.9 58.5 | Polaris 279 01.8 N90 01.4
------+-------------------+----------------------------------| Pollux 241 02.4 N27 36.1
21 0 | 180 38.7 S23 24.9 | 260 52.0 12.9 S 0 42.3 15.9 58.5 | Procyon 242 55.2 N 4 46.7
1 | 195 38.4 S23 24.9 | 275 23.9 12.9 S 0 58.2 15.9 58.6 | Rasalhague 94 16.5 N12 26.5
2 | 210 38.1 S23 24.9 | 289 55.7 12.8 S 1 14.2 16.0 58.6 | Regulus 205 37.1 N11 07.4
3 | 225 37.8 S23 24.9 | 304 27.5 12.8 S 1 30.2 16.0 58.6 |
4 | 240 37.4 S23 24.9 | 318 59.2 12.7 S 1 46.1 16.0 58.7 | Rigel 279 17.5 S 8 00.6
S 5 | 255 37.1 S23 24.9 | 333 30.9 12.7 S 2 02.1 16.0 58.7 | Rigil Kent 137 10.1 S61 32.0
A | | | Sabik 99 56.7 S15 55.7
T 6 | 270 36.8 S23 25.0 | 348 02.5 12.6 S 2 18.1 16.0 58.7 | Schedar 347 24.8 N57 28.9
U 7 | 285 36.5 S23 25.0 | 2 34.1 12.6 S 2 34.1 16.0 58.8 | Shaula 93 41.1 S37 13.1
R 8 | 300 36.2 S23 25.0 | 17 05.7 12.5 S 2 50.1 16.0 58.8 |
D 9 | 315 35.9 S23 25.0 | 31 37.2 12.5 S 3 06.2 16.0 58.8 | Sirius 256 48.8 S16 57.4
A 10 | 330 35.6 S23 25.0 | 46 08.6 12.4 S 3 22.2 16.0 58.9 | Spica 156 26.1 S12 03.2
Y 11 | 345 35.3 S23 25.0 | 60 40.0 12.4 S 3 38.2 16.0 58.9 | Suhail 221 24.7 S44 07.6
| | | Vega 79 18.9 N38 56.9
12 | 0 35.0 S23 25.0 | 75 11.3 12.3 S 3 54.2 16.0 58.9 | Zuben-ubi 134 58.6 S16 44.9
13 | 15 34.7 S23 25.1 | 89 42.6 12.3 S 4 10.2 16.0 59.0 |
14 | 30 34.4 S23 25.1 | 104 13.8 12.2 S 4 26.2 16.0 59.0 |
15 | 45 34.1 S23 25.1 | 118 45.0 12.2 S 4 42.3 16.0 59.0 |
16 | 60 33.7 S23 25.1 | 133 16.1 12.1 S 4 58.3 16.0 59.1 |
17 | 75 33.4 S23 25.1 | 147 47.2 12.0 S 5 14.3 16.0 59.1 |
| | |
18 | 90 33.1 S23 25.1 | 162 18.1 12.0 S 5 30.3 16.0 59.1 |
19 | 105 32.8 S23 25.1 | 176 49.1 11.9 S 5 46.3 16.0 59.2 |
20 | 120 32.5 S23 25.1 | 191 19.9 11.9 S 6 02.2 16.0 59.2 |
21 | 135 32.2 S23 25.1 | 205 50.7 11.8 S 6 18.2 16.0 59.2 |
22 | 150 31.9 S23 25.1 | 220 21.4 11.7 S 6 34.1 15.9 59.3 |
23 | 165 31.6 S23 25.1 | 234 52.1 11.6 S 6 50.1 15.9 59.3 |
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|S.D. 16.3 d 0.0 | S.D. 15.6 15.8 16.1 |
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