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2657 DEC. 19, 20, 21 (SAT, SUN, MON)
------+----------+-------------------+-------------------+-------------------+--------------------
| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
19 0 | 87 48.2 | 137 27.3 S20 27.3 | 166 27.6 S23 51.8 | 230 44.5 S13 25.4 | 256 36.0 S 2 24.3
1 | 102 50.6 | 152 26.7 S20 26.6 | 181 28.0 S23 51.7 | 245 46.6 S13 25.5 | 271 38.3 S 2 24.3
2 | 117 53.1 | 167 26.1 S20 25.8 | 196 28.4 S23 51.6 | 260 48.6 S13 25.6 | 286 40.6 S 2 24.4
3 | 132 55.6 | 182 25.5 S20 25.0 | 211 28.8 S23 51.4 | 275 50.6 S13 25.8 | 301 43.0 S 2 24.4
4 | 147 58.0 | 197 24.9 S20 24.2 | 226 29.3 S23 51.3 | 290 52.7 S13 25.9 | 316 45.3 S 2 24.5
S 5 | 163 00.5 | 212 24.3 S20 23.4 | 241 29.7 S23 51.2 | 305 54.7 S13 26.0 | 331 47.6 S 2 24.5
A
T 6 | 178 03.0 | 227 23.6 S20 22.7 | 256 30.1 S23 51.0 | 320 56.7 S13 26.2 | 346 49.9 S 2 24.5
U 7 | 193 05.4 | 242 23.0 S20 21.9 | 271 30.5 S23 50.9 | 335 58.8 S13 26.3 | 1 52.3 S 2 24.6
R 8 | 208 07.9 | 257 22.4 S20 21.1 | 286 30.9 S23 50.8 | 351 00.8 S13 26.4 | 16 54.6 S 2 24.6
D 9 | 223 10.3 | 272 21.8 S20 20.3 | 301 31.3 S23 50.6 | 6 02.8 S13 26.6 | 31 56.9 S 2 24.7
A 10 | 238 12.8 | 287 21.2 S20 19.5 | 316 31.7 S23 50.5 | 21 04.9 S13 26.7 | 46 59.2 S 2 24.7
Y 11 | 253 15.3 | 302 20.6 S20 18.7 | 331 32.1 S23 50.3 | 36 06.9 S13 26.8 | 62 01.6 S 2 24.8
12 | 268 17.7 | 317 20.0 S20 17.9 | 346 32.5 S23 50.2 | 51 08.9 S13 27.0 | 77 03.9 S 2 24.8
13 | 283 20.2 | 332 19.4 S20 17.1 | 1 32.9 S23 50.1 | 66 11.0 S13 27.1 | 92 06.2 S 2 24.9
14 | 298 22.7 | 347 18.8 S20 16.3 | 16 33.3 S23 49.9 | 81 13.0 S13 27.2 | 107 08.6 S 2 24.9
15 | 313 25.1 | 2 18.2 S20 15.5 | 31 33.7 S23 49.8 | 96 15.0 S13 27.4 | 122 10.9 S 2 25.0
16 | 328 27.6 | 17 17.6 S20 14.8 | 46 34.1 S23 49.7 | 111 17.1 S13 27.5 | 137 13.2 S 2 25.0
17 | 343 30.1 | 32 16.9 S20 14.0 | 61 34.6 S23 49.5 | 126 19.1 S13 27.6 | 152 15.5 S 2 25.1
18 | 358 32.5 | 47 16.3 S20 13.2 | 76 35.0 S23 49.4 | 141 21.1 S13 27.8 | 167 17.9 S 2 25.1
19 | 13 35.0 | 62 15.7 S20 12.4 | 91 35.4 S23 49.2 | 156 23.2 S13 27.9 | 182 20.2 S 2 25.1
20 | 28 37.4 | 77 15.1 S20 11.6 | 106 35.8 S23 49.1 | 171 25.2 S13 28.0 | 197 22.5 S 2 25.2
21 | 43 39.9 | 92 14.5 S20 10.8 | 121 36.2 S23 48.9 | 186 27.2 S13 28.2 | 212 24.9 S 2 25.2
22 | 58 42.4 | 107 13.9 S20 10.0 | 136 36.6 S23 48.8 | 201 29.3 S13 28.3 | 227 27.2 S 2 25.3
23 | 73 44.8 | 122 13.3 S20 09.2 | 151 37.0 S23 48.7 | 216 31.3 S13 28.5 | 242 29.5 S 2 25.3
------+----------+-------------------+-------------------+-------------------+--------------------
20 0 | 88 47.3 | 137 12.7 S20 08.4 | 166 37.4 S23 48.5 | 231 33.3 S13 28.6 | 257 31.8 S 2 25.4
1 | 103 49.8 | 152 12.1 S20 07.6 | 181 37.8 S23 48.4 | 246 35.4 S13 28.7 | 272 34.2 S 2 25.4
2 | 118 52.2 | 167 11.5 S20 06.8 | 196 38.2 S23 48.2 | 261 37.4 S13 28.9 | 287 36.5 S 2 25.5
3 | 133 54.7 | 182 10.9 S20 06.0 | 211 38.6 S23 48.1 | 276 39.4 S13 29.0 | 302 38.8 S 2 25.5
4 | 148 57.2 | 197 10.3 S20 05.1 | 226 39.0 S23 47.9 | 291 41.5 S13 29.1 | 317 41.2 S 2 25.5
S 5 | 163 59.6 | 212 09.7 S20 04.3 | 241 39.4 S23 47.8 | 306 43.5 S13 29.3 | 332 43.5 S 2 25.6
U
N 6 | 179 02.1 | 227 09.1 S20 03.5 | 256 39.9 S23 47.6 | 321 45.5 S13 29.4 | 347 45.8 S 2 25.6
D 7 | 194 04.6 | 242 08.6 S20 02.7 | 271 40.3 S23 47.5 | 336 47.6 S13 29.5 | 2 48.1 S 2 25.7
A 8 | 209 07.0 | 257 08.0 S20 01.9 | 286 40.7 S23 47.4 | 351 49.6 S13 29.7 | 17 50.5 S 2 25.7
Y 9 | 224 09.5 | 272 07.4 S20 01.1 | 301 41.1 S23 47.2 | 6 51.6 S13 29.8 | 32 52.8 S 2 25.8
10 | 239 11.9 | 287 06.8 S20 00.3 | 316 41.5 S23 47.1 | 21 53.7 S13 29.9 | 47 55.1 S 2 25.8
11 | 254 14.4 | 302 06.2 S19 59.5 | 331 41.9 S23 46.9 | 36 55.7 S13 30.1 | 62 57.5 S 2 25.9
12 | 269 16.9 | 317 05.6 S19 58.7 | 346 42.3 S23 46.8 | 51 57.8 S13 30.2 | 77 59.8 S 2 25.9
13 | 284 19.3 | 332 05.0 S19 57.9 | 1 42.7 S23 46.6 | 66 59.8 S13 30.3 | 93 02.1 S 2 26.0
14 | 299 21.8 | 347 04.4 S19 57.0 | 16 43.1 S23 46.5 | 82 01.8 S13 30.5 | 108 04.5 S 2 26.0
15 | 314 24.3 | 2 03.8 S19 56.2 | 31 43.5 S23 46.3 | 97 03.9 S13 30.6 | 123 06.8 S 2 26.0
16 | 329 26.7 | 17 03.2 S19 55.4 | 46 43.9 S23 46.2 | 112 05.9 S13 30.7 | 138 09.1 S 2 26.1
17 | 344 29.2 | 32 02.6 S19 54.6 | 61 44.3 S23 46.0 | 127 07.9 S13 30.9 | 153 11.4 S 2 26.1
18 | 359 31.7 | 47 02.0 S19 53.8 | 76 44.7 S23 45.9 | 142 10.0 S13 31.0 | 168 13.8 S 2 26.2
19 | 14 34.1 | 62 01.5 S19 52.9 | 91 45.1 S23 45.7 | 157 12.0 S13 31.1 | 183 16.1 S 2 26.2
20 | 29 36.6 | 77 00.9 S19 52.1 | 106 45.5 S23 45.6 | 172 14.1 S13 31.3 | 198 18.4 S 2 26.3
21 | 44 39.1 | 92 00.3 S19 51.3 | 121 46.0 S23 45.4 | 187 16.1 S13 31.4 | 213 20.8 S 2 26.3
22 | 59 41.5 | 106 59.7 S19 50.5 | 136 46.4 S23 45.2 | 202 18.1 S13 31.5 | 228 23.1 S 2 26.3
23 | 74 44.0 | 121 59.1 S19 49.7 | 151 46.8 S23 45.1 | 217 20.2 S13 31.7 | 243 25.4 S 2 26.4
------+----------+-------------------+-------------------+-------------------+--------------------
21 0 | 89 46.4 | 136 58.5 S19 48.8 | 166 47.2 S23 44.9 | 232 22.2 S13 31.8 | 258 27.8 S 2 26.4
1 | 104 48.9 | 151 57.9 S19 48.0 | 181 47.6 S23 44.8 | 247 24.2 S13 31.9 | 273 30.1 S 2 26.5
2 | 119 51.4 | 166 57.4 S19 47.2 | 196 48.0 S23 44.6 | 262 26.3 S13 32.0 | 288 32.4 S 2 26.5
3 | 134 53.8 | 181 56.8 S19 46.4 | 211 48.4 S23 44.5 | 277 28.3 S13 32.2 | 303 34.8 S 2 26.6
4 | 149 56.3 | 196 56.2 S19 45.5 | 226 48.8 S23 44.3 | 292 30.4 S13 32.3 | 318 37.1 S 2 26.6
M 5 | 164 58.8 | 211 55.6 S19 44.7 | 241 49.2 S23 44.2 | 307 32.4 S13 32.4 | 333 39.4 S 2 26.7
O
N 6 | 180 01.2 | 226 55.0 S19 43.9 | 256 49.6 S23 44.0 | 322 34.4 S13 32.6 | 348 41.8 S 2 26.7
D 7 | 195 03.7 | 241 54.5 S19 43.0 | 271 50.0 S23 43.8 | 337 36.5 S13 32.7 | 3 44.1 S 2 26.7
A 8 | 210 06.2 | 256 53.9 S19 42.2 | 286 50.4 S23 43.7 | 352 38.5 S13 32.8 | 18 46.4 S 2 26.8
Y 9 | 225 08.6 | 271 53.3 S19 41.4 | 301 50.8 S23 43.5 | 7 40.6 S13 33.0 | 33 48.8 S 2 26.8
10 | 240 11.1 | 286 52.7 S19 40.5 | 316 51.2 S23 43.4 | 22 42.6 S13 33.1 | 48 51.1 S 2 26.9
11 | 255 13.5 | 301 52.1 S19 39.7 | 331 51.6 S23 43.2 | 37 44.6 S13 33.2 | 63 53.4 S 2 26.9
12 | 270 16.0 | 316 51.6 S19 38.9 | 346 52.1 S23 43.0 | 52 46.7 S13 33.4 | 78 55.8 S 2 27.0
13 | 285 18.5 | 331 51.0 S19 38.0 | 1 52.5 S23 42.9 | 67 48.7 S13 33.5 | 93 58.1 S 2 27.0
14 | 300 20.9 | 346 50.4 S19 37.2 | 16 52.9 S23 42.7 | 82 50.7 S13 33.6 | 109 00.4 S 2 27.0
15 | 315 23.4 | 1 49.8 S19 36.4 | 31 53.3 S23 42.6 | 97 52.8 S13 33.8 | 124 02.8 S 2 27.1
16 | 330 25.9 | 16 49.3 S19 35.5 | 46 53.7 S23 42.4 | 112 54.8 S13 33.9 | 139 05.1 S 2 27.1
17 | 345 28.3 | 31 48.7 S19 34.7 | 61 54.1 S23 42.2 | 127 56.9 S13 34.0 | 154 07.4 S 2 27.2
18 | 0 30.8 | 46 48.1 S19 33.9 | 76 54.5 S23 42.1 | 142 58.9 S13 34.2 | 169 09.8 S 2 27.2
19 | 15 33.3 | 61 47.6 S19 33.0 | 91 54.9 S23 41.9 | 158 01.0 S13 34.3 | 184 12.1 S 2 27.3
20 | 30 35.7 | 76 47.0 S19 32.2 | 106 55.3 S23 41.8 | 173 03.0 S13 34.4 | 199 14.5 S 2 27.3
21 | 45 38.2 | 91 46.4 S19 31.3 | 121 55.7 S23 41.6 | 188 05.0 S13 34.6 | 214 16.8 S 2 27.3
22 | 60 40.7 | 106 45.8 S19 30.5 | 136 56.1 S23 41.4 | 203 07.1 S13 34.7 | 229 19.1 S 2 27.4
23 | 75 43.1 | 121 45.3 S19 29.6 | 151 56.5 S23 41.3 | 218 09.1 S13 34.8 | 244 21.5 S 2 27.4
------+----------+-------------------+-------------------+-------------------+--------------------
| v -0.6 d 0.8 | v 0.4 d 0.1 | v 2.0 d 0.1 | v 2.3 d 0.0
2657 DEC. 19, 20, 21 (SAT, SUN, MON)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
19 0 | 181 05.9 S23 19.3 | 286 34.7 12.7 N 9 49.3 15.2 58.0 | Acamar 309 08.9 S37 41.8
1 | 196 05.6 S23 19.4 | 301 06.4 12.8 N 9 34.0 15.3 58.0 | Achernar 329 24.6 S53 55.1
2 | 211 05.3 S23 19.4 | 315 38.2 12.8 N 9 18.7 15.4 58.0 | Acrux 164 05.0 S66 43.5
3 | 226 05.0 S23 19.5 | 330 10.0 12.8 N 9 03.3 15.4 58.1 | Adhara 248 49.8 S29 53.3
4 | 241 04.7 S23 19.5 | 344 41.8 12.8 N 8 47.8 15.5 58.1 | Albireo 60 39.0 N29 21.7
S 5 | 256 04.4 S23 19.6 | 359 13.7 12.8 N 8 32.3 15.5 58.1 |
A | | | Aldebaran 281 31.8 N17 47.6
T 6 | 271 04.1 S23 19.6 | 13 45.5 12.9 N 8 16.7 15.6 58.1 | Alioth 159 14.9 N52 24.1
U 7 | 286 03.8 S23 19.7 | 28 17.4 12.9 N 8 01.1 15.6 58.2 | Alkaid 146 36.3 N46 02.8
R 8 | 301 03.5 S23 19.7 | 42 49.3 12.9 N 7 45.4 15.7 58.2 | Al Na-ir 17 36.2 S43 46.2
D 9 | 316 03.2 S23 19.8 | 57 21.2 12.9 N 7 29.7 15.7 58.2 | Alnilam 267 33.2 S 0 49.0
A 10 | 331 02.9 S23 19.8 | 71 53.2 12.9 N 7 14.0 15.8 58.2 |
Y 11 | 346 02.6 S23 19.9 | 86 25.1 12.9 N 6 58.2 15.8 58.2 | Alphard 209 58.8 S11 31.3
| | | Alphecca 119 19.5 N24 31.6
12 | 1 02.3 S23 19.9 | 100 57.1 13.0 N 6 42.3 15.9 58.3 | Alpheratz 349 20.5 N32 42.9
13 | 16 02.0 S23 20.0 | 115 29.0 13.0 N 6 26.4 15.9 58.3 | Altair 54 15.0 N10 37.8
14 | 31 01.7 S23 20.0 | 130 01.0 13.0 N 6 10.5 15.9 58.3 | Ankaa 345 17.2 S38 45.2
15 | 46 01.4 S23 20.1 | 144 33.0 13.0 N 5 54.5 16.0 58.3 |
16 | 61 01.1 S23 20.1 | 159 05.0 13.0 N 5 38.5 16.0 58.4 | Antares 102 31.2 S27 51.0
17 | 76 00.8 S23 20.2 | 173 37.0 13.0 N 5 22.4 16.1 58.4 | Arcturus 138 32.6 N15 46.8
| | | Atria 90 19.4 S70 09.9
18 | 91 00.5 S23 20.2 | 188 09.0 13.0 N 5 06.3 16.1 58.4 | Avior 230 57.0 S61 37.7
19 | 106 00.2 S23 20.3 | 202 41.0 13.0 N 4 50.2 16.1 58.4 | Bellatrix 269 50.9 N 6 54.5
20 | 120 59.9 S23 20.3 | 217 13.0 13.0 N 4 34.0 16.2 58.4 |
21 | 135 59.6 S23 20.3 | 231 45.0 13.0 N 4 17.8 16.2 58.5 | Betelgeuse 262 15.5 N 7 29.6
22 | 150 59.3 S23 20.4 | 246 17.0 13.0 N 4 01.6 16.2 58.5 | Canopus 260 17.9 S53 04.1
23 | 165 59.0 S23 20.4 | 260 49.0 13.0 N 3 45.4 16.3 58.5 | Capella 268 37.4 N46 37.0
------+-------------------+----------------------------------| Castor 235 49.9 N30 24.7
20 0 | 180 58.7 S23 20.5 | 275 21.0 13.0 N 3 29.1 16.3 58.5 | Deneb 43 59.8 N47 38.6
1 | 195 58.4 S23 20.5 | 289 52.9 13.0 N 3 12.7 16.3 58.6 |
2 | 210 58.1 S23 20.5 | 304 24.9 13.0 N 2 56.4 16.3 58.6 | Denebola 174 19.1 N10 54.1
3 | 225 57.8 S23 20.6 | 318 56.9 13.0 N 2 40.0 16.4 58.6 | Diphda 340 48.9 S14 23.6
4 | 240 57.5 S23 20.6 | 333 28.8 13.0 N 2 23.6 16.4 58.6 | Dubhe 183 58.6 N58 11.5
S 5 | 255 57.2 S23 20.6 | 348 00.8 13.0 N 2 07.2 16.4 58.7 | Elnath 267 59.0 N29 07.1
U | | | Eltanin 86 59.2 N51 25.5
N 6 | 270 56.9 S23 20.7 | 2 32.7 12.9 N 1 50.7 16.4 58.7 |
D 7 | 285 56.6 S23 20.7 | 17 04.7 12.9 N 1 34.3 16.5 58.7 | Enif 25 50.5 N12 54.1
A 8 | 300 56.3 S23 20.7 | 31 36.6 12.9 N 1 17.8 16.5 58.7 | Fomalhaut 6 29.5 S26 08.3
Y 9 | 315 56.0 S23 20.8 | 46 08.5 12.9 N 1 01.3 16.5 58.7 | Gacrux 162 59.1 S60 46.6
10 | 330 55.7 S23 20.8 | 60 40.3 12.9 N 0 44.8 16.5 58.8 | Gienah 167 32.4 S21 10.8
11 | 345 55.4 S23 20.8 | 75 12.2 12.9 N 0 28.2 16.5 58.8 | Hadar 137 18.8 S63 30.6
| | |
12 | 0 55.1 S23 20.9 | 89 44.0 12.8 N 0 11.7 16.6 58.8 | Hamal 318 52.3 N26 32.8
13 | 15 54.8 S23 20.9 | 104 15.8 12.8 S 0 04.9 16.6 58.8 | Kaus Austr. 73 01.3 S34 02.0
14 | 30 54.5 S23 20.9 | 118 47.6 12.8 S 0 21.5 16.6 58.9 | Kochab 137 37.5 N71 28.0
15 | 45 54.2 S23 20.9 | 133 19.4 12.8 S 0 38.1 16.6 58.9 | Markab 5 34.5 N18 44.6
16 | 60 53.9 S23 21.0 | 147 51.1 12.7 S 0 54.7 16.6 58.9 | Menkar 305 46.7 N 6 38.3
17 | 75 53.6 S23 21.0 | 162 22.8 12.7 S 1 11.3 16.6 58.9 |
| | | Menkent 138 34.9 S39 34.6
18 | 90 53.3 S23 21.0 | 176 54.5 12.7 S 1 27.9 16.6 58.9 | Miaplacidus 219 52.6 S72 25.1
19 | 105 53.0 S23 21.0 | 191 26.2 12.6 S 1 44.5 16.6 59.0 | Mirfak 297 04.9 N52 09.7
20 | 120 52.7 S23 21.1 | 205 57.8 12.6 S 2 01.1 16.6 59.0 | Nunki 65 58.2 S25 26.6
21 | 135 52.4 S23 21.1 | 220 29.4 12.6 S 2 17.8 16.6 59.0 | Peacock 40 38.0 S54 35.7
22 | 150 52.1 S23 21.1 | 235 00.9 12.5 S 2 34.4 16.6 59.0 |
23 | 165 51.8 S23 21.1 | 249 32.4 12.5 S 2 51.0 16.6 59.1 | Polaris 156 19.4 N92 12.4
------+-------------------+----------------------------------| Pollux 233 35.2 N26 24.2
21 0 | 180 51.5 S23 21.2 | 264 03.9 12.5 S 3 07.6 16.6 59.1 | Procyon 236 31.9 N 3 30.6
1 | 195 51.2 S23 21.2 | 278 35.3 12.4 S 3 24.3 16.6 59.1 | Rasalhague 88 35.8 N12 06.8
2 | 210 50.9 S23 21.2 | 293 06.7 12.4 S 3 40.9 16.6 59.1 | Regulus 199 07.3 N 8 44.6
3 | 225 50.6 S23 21.2 | 307 38.1 12.4 S 3 57.5 16.6 59.1 |
4 | 240 50.3 S23 21.2 | 322 09.4 12.3 S 4 14.1 16.6 59.2 | Rigel 273 24.7 S 7 28.5
M 5 | 255 50.0 S23 21.2 | 336 40.6 12.3 S 4 30.7 16.6 59.2 | Rigil Kent 128 49.3 S63 30.8
O | | | Sabik 92 56.2 S16 30.0
N 6 | 270 49.7 S23 21.3 | 351 11.9 12.2 S 4 47.3 16.6 59.2 | Schedar 340 25.8 N60 08.0
D 7 | 285 49.4 S23 21.3 | 5 43.0 12.2 S 5 03.9 16.6 59.2 | Shaula 85 23.9 S37 32.3
A 8 | 300 49.1 S23 21.3 | 20 14.1 12.1 S 5 20.4 16.6 59.2 |
Y 9 | 315 48.8 S23 21.3 | 34 45.2 12.1 S 5 37.0 16.5 59.3 | Sirius 251 25.4 S17 38.7
10 | 330 48.5 S23 21.3 | 49 16.2 12.0 S 5 53.5 16.5 59.3 | Spica 149 59.3 S14 34.3
11 | 345 48.2 S23 21.3 | 63 47.2 12.0 S 6 10.0 16.5 59.3 | Suhail 216 53.8 S46 05.7
| | | Vega 75 09.5 N39 25.0
12 | 0 47.9 S23 21.3 | 78 18.1 11.9 S 6 26.5 16.5 59.3 | Zuben-ubi 128 24.4 S18 44.6
13 | 15 47.6 S23 21.3 | 92 48.9 11.8 S 6 43.0 16.5 59.3 |
14 | 30 47.3 S23 21.3 | 107 19.7 11.8 S 6 59.5 16.5 59.4 |
15 | 45 47.0 S23 21.3 | 121 50.5 11.7 S 7 15.9 16.4 59.4 |
16 | 60 46.7 S23 21.4 | 136 21.1 11.7 S 7 32.3 16.4 59.4 |
17 | 75 46.4 S23 21.4 | 150 51.7 11.6 S 7 48.7 16.4 59.4 |
| | |
18 | 90 46.1 S23 21.4 | 165 22.3 11.5 S 8 05.0 16.3 59.4 |
19 | 105 45.8 S23 21.4 | 179 52.8 11.5 S 8 21.3 16.3 59.5 |
20 | 120 45.5 S23 21.4 | 194 23.2 11.4 S 8 37.6 16.3 59.5 |
21 | 135 45.2 S23 21.4 | 208 53.5 11.3 S 8 53.9 16.3 59.5 |
22 | 150 44.9 S23 21.4 | 223 23.8 11.3 S 9 10.1 16.2 59.5 |
23 | 165 44.6 S23 21.4 | 237 54.0 11.2 S 9 26.3 16.2 59.5 |
------+-------------------+----------------------------------|
|S.D. 16.2 d 0.0 | S.D. 15.9 16.0 16.2 |