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2644 DEC. 19, 20, 21 (THU, FRI, SAT)
------+----------+-------------------+-------------------+-------------------+--------------------
| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
19 0 | 87 57.1 | 155 49.0 S23 13.4 | 143 08.8 S20 47.4 | 258 20.4 S 2 50.4 | 79 13.0 N 1 05.8
1 | 102 59.6 | 170 48.1 S23 13.0 | 158 09.2 S20 47.0 | 273 22.6 S 2 50.5 | 94 15.5 N 1 05.8
2 | 118 02.1 | 185 47.3 S23 12.6 | 173 09.7 S20 46.6 | 288 24.8 S 2 50.6 | 109 17.9 N 1 05.9
3 | 133 04.5 | 200 46.4 S23 12.2 | 188 10.1 S20 46.1 | 303 27.0 S 2 50.7 | 124 20.3 N 1 05.9
4 | 148 07.0 | 215 45.5 S23 11.8 | 203 10.6 S20 45.7 | 318 29.2 S 2 50.8 | 139 22.8 N 1 05.9
T 5 | 163 09.5 | 230 44.6 S23 11.4 | 218 11.0 S20 45.2 | 333 31.5 S 2 50.9 | 154 25.2 N 1 05.9
H
U 6 | 178 11.9 | 245 43.7 S23 11.0 | 233 11.5 S20 44.8 | 348 33.7 S 2 51.0 | 169 27.6 N 1 05.9
R 7 | 193 14.4 | 260 42.8 S23 10.6 | 248 11.9 S20 44.3 | 3 35.9 S 2 51.1 | 184 30.1 N 1 06.0
S 8 | 208 16.9 | 275 41.9 S23 10.2 | 263 12.4 S20 43.9 | 18 38.1 S 2 51.2 | 199 32.5 N 1 06.0
D 9 | 223 19.3 | 290 41.0 S23 09.8 | 278 12.8 S20 43.4 | 33 40.3 S 2 51.3 | 214 34.9 N 1 06.0
A 10 | 238 21.8 | 305 40.1 S23 09.4 | 293 13.3 S20 43.0 | 48 42.5 S 2 51.4 | 229 37.4 N 1 06.0
Y 11 | 253 24.3 | 320 39.2 S23 09.0 | 308 13.7 S20 42.5 | 63 44.7 S 2 51.5 | 244 39.8 N 1 06.1
12 | 268 26.7 | 335 38.3 S23 08.5 | 323 14.2 S20 42.1 | 78 46.9 S 2 51.6 | 259 42.3 N 1 06.1
13 | 283 29.2 | 350 37.4 S23 08.1 | 338 14.6 S20 41.6 | 93 49.1 S 2 51.7 | 274 44.7 N 1 06.1
14 | 298 31.6 | 5 36.5 S23 07.7 | 353 15.1 S20 41.2 | 108 51.3 S 2 51.8 | 289 47.1 N 1 06.1
15 | 313 34.1 | 20 35.6 S23 07.3 | 8 15.5 S20 40.7 | 123 53.5 S 2 51.9 | 304 49.6 N 1 06.2
16 | 328 36.6 | 35 34.7 S23 06.9 | 23 16.0 S20 40.3 | 138 55.7 S 2 52.0 | 319 52.0 N 1 06.2
17 | 343 39.0 | 50 33.8 S23 06.4 | 38 16.4 S20 39.8 | 153 57.9 S 2 52.1 | 334 54.4 N 1 06.2
18 | 358 41.5 | 65 32.9 S23 06.0 | 53 16.8 S20 39.4 | 169 00.1 S 2 52.2 | 349 56.9 N 1 06.2
19 | 13 44.0 | 80 32.1 S23 05.6 | 68 17.3 S20 38.9 | 184 02.3 S 2 52.3 | 4 59.3 N 1 06.2
20 | 28 46.4 | 95 31.2 S23 05.2 | 83 17.7 S20 38.5 | 199 04.5 S 2 52.4 | 20 01.7 N 1 06.3
21 | 43 48.9 | 110 30.3 S23 04.8 | 98 18.2 S20 38.0 | 214 06.8 S 2 52.5 | 35 04.2 N 1 06.3
22 | 58 51.4 | 125 29.4 S23 04.3 | 113 18.6 S20 37.5 | 229 09.0 S 2 52.6 | 50 06.6 N 1 06.3
23 | 73 53.8 | 140 28.5 S23 03.9 | 128 19.1 S20 37.1 | 244 11.2 S 2 52.7 | 65 09.0 N 1 06.3
------+----------+-------------------+-------------------+-------------------+--------------------
20 0 | 88 56.3 | 155 27.6 S23 03.5 | 143 19.5 S20 36.6 | 259 13.4 S 2 52.8 | 80 11.5 N 1 06.4
1 | 103 58.8 | 170 26.7 S23 03.0 | 158 20.0 S20 36.2 | 274 15.6 S 2 52.9 | 95 13.9 N 1 06.4
2 | 119 01.2 | 185 25.8 S23 02.6 | 173 20.4 S20 35.7 | 289 17.8 S 2 53.0 | 110 16.3 N 1 06.4
3 | 134 03.7 | 200 24.9 S23 02.2 | 188 20.9 S20 35.3 | 304 20.0 S 2 53.1 | 125 18.8 N 1 06.4
4 | 149 06.1 | 215 24.1 S23 01.7 | 203 21.3 S20 34.8 | 319 22.2 S 2 53.2 | 140 21.2 N 1 06.5
F 5 | 164 08.6 | 230 23.2 S23 01.3 | 218 21.8 S20 34.4 | 334 24.4 S 2 53.2 | 155 23.6 N 1 06.5
R
I 6 | 179 11.1 | 245 22.3 S23 00.9 | 233 22.2 S20 33.9 | 349 26.6 S 2 53.3 | 170 26.1 N 1 06.5
D 7 | 194 13.5 | 260 21.4 S23 00.4 | 248 22.7 S20 33.4 | 4 28.8 S 2 53.4 | 185 28.5 N 1 06.5
A 8 | 209 16.0 | 275 20.5 S22 60.0 | 263 23.1 S20 33.0 | 19 31.1 S 2 53.5 | 200 30.9 N 1 06.6
Y 9 | 224 18.5 | 290 19.6 S22 59.5 | 278 23.6 S20 32.5 | 34 33.3 S 2 53.6 | 215 33.3 N 1 06.6
10 | 239 20.9 | 305 18.7 S22 59.1 | 293 24.0 S20 32.1 | 49 35.5 S 2 53.7 | 230 35.8 N 1 06.6
11 | 254 23.4 | 320 17.8 S22 58.7 | 308 24.5 S20 31.6 | 64 37.7 S 2 53.8 | 245 38.2 N 1 06.6
12 | 269 25.9 | 335 17.0 S22 58.2 | 323 24.9 S20 31.1 | 79 39.9 S 2 53.9 | 260 40.6 N 1 06.7
13 | 284 28.3 | 350 16.1 S22 57.8 | 338 25.4 S20 30.7 | 94 42.1 S 2 54.0 | 275 43.1 N 1 06.7
14 | 299 30.8 | 5 15.2 S22 57.3 | 353 25.8 S20 30.2 | 109 44.3 S 2 54.1 | 290 45.5 N 1 06.7
15 | 314 33.2 | 20 14.3 S22 56.9 | 8 26.3 S20 29.8 | 124 46.5 S 2 54.2 | 305 47.9 N 1 06.7
16 | 329 35.7 | 35 13.4 S22 56.4 | 23 26.8 S20 29.3 | 139 48.8 S 2 54.3 | 320 50.4 N 1 06.8
17 | 344 38.2 | 50 12.5 S22 56.0 | 38 27.2 S20 28.8 | 154 51.0 S 2 54.4 | 335 52.8 N 1 06.8
18 | 359 40.6 | 65 11.7 S22 55.5 | 53 27.7 S20 28.4 | 169 53.2 S 2 54.5 | 350 55.2 N 1 06.8
19 | 14 43.1 | 80 10.8 S22 55.1 | 68 28.1 S20 27.9 | 184 55.4 S 2 54.6 | 5 57.7 N 1 06.8
20 | 29 45.6 | 95 09.9 S22 54.6 | 83 28.6 S20 27.5 | 199 57.6 S 2 54.7 | 21 00.1 N 1 06.9
21 | 44 48.0 | 110 09.0 S22 54.2 | 98 29.0 S20 27.0 | 214 59.8 S 2 54.8 | 36 02.5 N 1 06.9
22 | 59 50.5 | 125 08.1 S22 53.7 | 113 29.5 S20 26.5 | 230 02.0 S 2 54.9 | 51 04.9 N 1 06.9
23 | 74 53.0 | 140 07.3 S22 53.3 | 128 29.9 S20 26.1 | 245 04.2 S 2 55.0 | 66 07.4 N 1 06.9
------+----------+-------------------+-------------------+-------------------+--------------------
21 0 | 89 55.4 | 155 06.4 S22 52.8 | 143 30.4 S20 25.6 | 260 06.5 S 2 55.1 | 81 09.8 N 1 07.0
1 | 104 57.9 | 170 05.5 S22 52.3 | 158 30.8 S20 25.1 | 275 08.7 S 2 55.2 | 96 12.2 N 1 07.0
2 | 120 00.4 | 185 04.6 S22 51.9 | 173 31.3 S20 24.7 | 290 10.9 S 2 55.3 | 111 14.7 N 1 07.0
3 | 135 02.8 | 200 03.7 S22 51.4 | 188 31.7 S20 24.2 | 305 13.1 S 2 55.4 | 126 17.1 N 1 07.0
4 | 150 05.3 | 215 02.9 S22 51.0 | 203 32.2 S20 23.7 | 320 15.3 S 2 55.5 | 141 19.5 N 1 07.1
S 5 | 165 07.7 | 230 02.0 S22 50.5 | 218 32.6 S20 23.3 | 335 17.5 S 2 55.6 | 156 21.9 N 1 07.1
A
T 6 | 180 10.2 | 245 01.1 S22 50.0 | 233 33.1 S20 22.8 | 350 19.8 S 2 55.6 | 171 24.4 N 1 07.1
U 7 | 195 12.7 | 260 00.2 S22 49.6 | 248 33.5 S20 22.3 | 5 22.0 S 2 55.7 | 186 26.8 N 1 07.1
R 8 | 210 15.1 | 274 59.4 S22 49.1 | 263 34.0 S20 21.9 | 20 24.2 S 2 55.8 | 201 29.2 N 1 07.2
D 9 | 225 17.6 | 289 58.5 S22 48.6 | 278 34.4 S20 21.4 | 35 26.4 S 2 55.9 | 216 31.7 N 1 07.2
A 10 | 240 20.1 | 304 57.6 S22 48.2 | 293 34.9 S20 20.9 | 50 28.6 S 2 56.0 | 231 34.1 N 1 07.2
Y 11 | 255 22.5 | 319 56.7 S22 47.7 | 308 35.4 S20 20.5 | 65 30.8 S 2 56.1 | 246 36.5 N 1 07.3
12 | 270 25.0 | 334 55.9 S22 47.2 | 323 35.8 S20 20.0 | 80 33.1 S 2 56.2 | 261 38.9 N 1 07.3
13 | 285 27.5 | 349 55.0 S22 46.7 | 338 36.3 S20 19.5 | 95 35.3 S 2 56.3 | 276 41.4 N 1 07.3
14 | 300 29.9 | 4 54.1 S22 46.3 | 353 36.7 S20 19.1 | 110 37.5 S 2 56.4 | 291 43.8 N 1 07.3
15 | 315 32.4 | 19 53.2 S22 45.8 | 8 37.2 S20 18.6 | 125 39.7 S 2 56.5 | 306 46.2 N 1 07.4
16 | 330 34.9 | 34 52.4 S22 45.3 | 23 37.6 S20 18.1 | 140 41.9 S 2 56.6 | 321 48.6 N 1 07.4
17 | 345 37.3 | 49 51.5 S22 44.8 | 38 38.1 S20 17.6 | 155 44.1 S 2 56.7 | 336 51.1 N 1 07.4
18 | 0 39.8 | 64 50.6 S22 44.4 | 53 38.5 S20 17.2 | 170 46.4 S 2 56.8 | 351 53.5 N 1 07.4
19 | 15 42.2 | 79 49.7 S22 43.9 | 68 39.0 S20 16.7 | 185 48.6 S 2 56.9 | 6 55.9 N 1 07.5
20 | 30 44.7 | 94 48.9 S22 43.4 | 83 39.4 S20 16.2 | 200 50.8 S 2 57.0 | 21 58.3 N 1 07.5
21 | 45 47.2 | 109 48.0 S22 42.9 | 98 39.9 S20 15.8 | 215 53.0 S 2 57.1 | 37 00.8 N 1 07.5
22 | 60 49.6 | 124 47.1 S22 42.4 | 113 40.4 S20 15.3 | 230 55.2 S 2 57.1 | 52 03.2 N 1 07.6
23 | 75 52.1 | 139 46.3 S22 41.9 | 128 40.8 S20 14.8 | 245 57.5 S 2 57.2 | 67 05.6 N 1 07.6
------+----------+-------------------+-------------------+-------------------+--------------------
| v -0.9 d 0.4 | v 0.5 d 0.5 | v 2.2 d 0.1 | v 2.4 d 0.0
2644 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 | 181 04.5 S23 19.4 | 208 36.6 11.6 S21 19.6 3.4 54.2 | Acamar 309 16.4 S37 45.0
1 | 196 04.2 S23 19.5 | 223 07.2 11.6 S21 22.9 3.3 54.2 | Achernar 329 32.1 S53 59.0
2 | 211 03.9 S23 19.5 | 237 37.8 11.6 S21 26.1 3.2 54.3 | Acrux 164 15.4 S66 39.3
3 | 226 03.6 S23 19.6 | 252 08.4 11.5 S21 29.2 3.1 54.3 | Adhara 248 57.3 S29 52.5
4 | 241 03.3 S23 19.6 | 266 38.9 11.5 S21 32.2 3.0 54.3 | Albireo 60 46.8 N29 20.3
T 5 | 256 03.0 S23 19.7 | 281 09.3 11.5 S21 35.1 2.9 54.3 |
H | | | Aldebaran 281 42.7 N17 45.9
U 6 | 271 02.7 S23 19.7 | 295 39.8 11.4 S21 38.0 2.8 54.3 | Alioth 159 23.6 N52 28.2
R 7 | 286 02.4 S23 19.8 | 310 10.2 11.4 S21 40.7 2.7 54.3 | Alkaid 146 44.1 N46 06.6
S 8 | 301 02.1 S23 19.8 | 324 40.5 11.4 S21 43.3 2.6 54.3 | Al Na-ir 17 48.3 S43 49.8
D 9 | 316 01.8 S23 19.9 | 339 10.9 11.3 S21 45.8 2.5 54.3 | Alnilam 267 42.9 S 0 49.6
A 10 | 331 01.5 S23 19.9 | 353 41.2 11.3 S21 48.2 2.4 54.3 |
Y 11 | 346 01.2 S23 20.0 | 8 11.4 11.3 S21 50.5 2.3 54.3 | Alphard 210 08.2 S11 28.2
| | | Alphecca 119 27.7 N24 34.3
12 | 1 00.9 S23 20.0 | 22 41.7 11.2 S21 52.7 2.2 54.3 | Alpheratz 349 30.3 N32 38.7
13 | 16 00.6 S23 20.1 | 37 11.9 11.2 S21 54.8 2.1 54.4 | Altair 54 24.4 N10 36.0
14 | 31 00.3 S23 20.1 | 51 42.1 11.2 S21 56.8 2.0 54.4 | Ankaa 345 26.8 S38 49.3
15 | 46 00.0 S23 20.1 | 66 12.2 11.2 S21 58.7 1.9 54.4 |
16 | 60 59.7 S23 20.2 | 80 42.4 11.1 S22 00.4 1.8 54.4 | Antares 102 42.9 S27 49.2
17 | 75 59.4 S23 20.2 | 95 12.5 11.1 S22 02.1 1.7 54.4 | Arcturus 138 41.5 N15 50.9
| | | Atria 90 39.5 S70 08.4
18 | 90 59.1 S23 20.3 | 109 42.5 11.1 S22 03.7 1.6 54.4 | Avior 231 00.8 S61 35.4
19 | 105 58.8 S23 20.3 | 124 12.6 11.0 S22 05.2 1.5 54.4 | Bellatrix 270 01.2 N 6 53.7
20 | 120 58.5 S23 20.4 | 138 42.6 11.0 S22 06.5 1.4 54.4 |
21 | 135 58.2 S23 20.4 | 153 12.6 11.0 S22 07.8 1.3 54.4 | Betelgeuse 262 25.8 N 7 29.3
22 | 150 57.9 S23 20.4 | 167 42.5 11.0 S22 08.9 1.1 54.5 | Canopus 260 22.2 S53 03.9
23 | 165 57.6 S23 20.5 | 182 12.5 10.9 S22 10.0 1.0 54.5 | Capella 268 51.5 N46 36.1
------+-------------------+----------------------------------| Castor 236 02.2 N30 26.2
20 0 | 180 57.3 S23 20.5 | 196 42.4 10.9 S22 10.9 0.9 54.5 | Deneb 44 06.2 N47 36.1
1 | 195 57.0 S23 20.5 | 211 12.3 10.9 S22 11.7 0.8 54.5 |
2 | 210 56.7 S23 20.6 | 225 42.2 10.9 S22 12.5 0.7 54.5 | Denebola 174 28.9 N10 58.3
3 | 225 56.4 S23 20.6 | 240 12.0 10.9 S22 13.1 0.6 54.5 | Diphda 340 58.6 S14 27.8
4 | 240 56.1 S23 20.6 | 254 41.9 10.8 S22 13.6 0.5 54.5 | Dubhe 184 10.7 N58 15.6
F 5 | 255 55.8 S23 20.7 | 269 11.7 10.8 S22 14.0 0.4 54.5 | Elnath 268 11.1 N29 06.4
R | | | Eltanin 87 03.7 N51 25.8
I 6 | 270 55.5 S23 20.7 | 283 41.5 10.8 S22 14.3 0.3 54.6 |
D 7 | 285 55.2 S23 20.7 | 298 11.3 10.8 S22 14.4 0.2 54.6 | Enif 25 59.9 N12 50.7
A 8 | 300 54.9 S23 20.8 | 312 41.0 10.8 S22 14.5 0.1 54.6 | Fomalhaut 6 40.2 S26 12.3
Y 9 | 315 54.6 S23 20.8 | 327 10.8 10.7 S22 14.5 0.0 54.6 | Gacrux 163 09.5 S60 42.4
10 | 330 54.3 S23 20.8 | 341 40.5 10.7 S22 14.3 0.1 54.6 | Gienah 167 42.2 S21 06.6
11 | 345 54.0 S23 20.8 | 356 10.2 10.7 S22 14.1 0.3 54.6 | Hadar 137 32.1 S63 26.9
| | |
12 | 0 53.7 S23 20.9 | 10 39.9 10.7 S22 13.7 0.4 54.6 | Hamal 319 03.0 N26 29.2
13 | 15 53.4 S23 20.9 | 25 09.6 10.7 S22 13.2 0.5 54.6 | Kaus Austr. 73 14.0 S34 02.2
14 | 30 53.1 S23 20.9 | 39 39.3 10.7 S22 12.6 0.6 54.7 | Kochab 137 37.8 N71 31.2
15 | 45 52.8 S23 20.9 | 54 08.9 10.7 S22 12.0 0.7 54.7 | Markab 5 44.0 N18 40.6
16 | 60 52.5 S23 21.0 | 68 38.6 10.6 S22 11.1 0.8 54.7 | Menkar 305 56.7 N 6 35.2
17 | 75 52.2 S23 21.0 | 83 08.2 10.6 S22 10.2 0.9 54.7 |
| | | Menkent 138 46.1 S39 30.8
18 | 90 51.9 S23 21.0 | 97 37.8 10.6 S22 09.2 1.0 54.7 | Miaplacidus 219 54.4 S72 22.2
19 | 105 51.6 S23 21.0 | 112 07.5 10.6 S22 08.1 1.1 54.7 | Mirfak 297 18.4 N52 06.9
20 | 120 51.3 S23 21.0 | 126 37.1 10.6 S22 06.8 1.2 54.7 | Nunki 66 10.0 S25 27.4
21 | 135 51.0 S23 21.1 | 141 06.7 10.6 S22 05.5 1.4 54.8 | Peacock 40 53.2 S54 38.0
22 | 150 50.7 S23 21.1 | 155 36.3 10.6 S22 04.0 1.5 54.8 |
23 | 165 50.4 S23 21.1 | 170 05.9 10.6 S22 02.4 1.6 54.8 | Polaris 159 19.0 N92 08.9
------+-------------------+----------------------------------| Pollux 233 46.9 N26 25.9
21 0 | 180 50.1 S23 21.1 | 184 35.5 10.6 S22 00.8 1.7 54.8 | Procyon 236 41.9 N 3 32.4
1 | 195 49.8 S23 21.1 | 199 05.0 10.6 S21 59.0 1.8 54.8 | Rasalhague 88 44.7 N12 07.5
2 | 210 49.5 S23 21.1 | 213 34.6 10.6 S21 57.1 1.9 54.8 | Regulus 199 17.6 N 8 48.2
3 | 225 49.2 S23 21.2 | 228 04.2 10.6 S21 55.0 2.0 54.8 |
4 | 240 48.9 S23 21.2 | 242 33.8 10.6 S21 52.9 2.1 54.9 | Rigel 273 34.0 S 7 29.5
S 5 | 255 48.6 S23 21.2 | 257 03.3 10.6 S21 50.7 2.2 54.9 | Rigil Kent 129 02.1 S63 27.5
A | | | Sabik 93 07.2 S16 28.9
T 6 | 270 48.2 S23 21.2 | 271 32.9 10.6 S21 48.3 2.3 54.9 | Schedar 340 36.5 N60 03.8
U 7 | 285 47.9 S23 21.2 | 286 02.5 10.6 S21 45.9 2.5 54.9 | Shaula 85 36.8 S37 31.6
R 8 | 300 47.6 S23 21.2 | 300 32.0 10.6 S21 43.3 2.6 54.9 |
D 9 | 315 47.3 S23 21.2 | 315 01.6 10.6 S21 40.7 2.7 54.9 | Sirius 251 33.8 S17 37.8
A 10 | 330 47.0 S23 21.2 | 329 31.2 10.6 S21 37.9 2.8 54.9 | Spica 150 09.4 S14 30.3
Y 11 | 345 46.7 S23 21.2 | 344 00.8 10.6 S21 35.0 2.9 55.0 | Suhail 217 00.7 S46 02.7
| | | Vega 75 16.1 N39 24.5
12 | 0 46.4 S23 21.2 | 358 30.4 10.6 S21 32.0 3.0 55.0 | Zuben-ubi 128 34.6 S18 41.3
13 | 15 46.1 S23 21.3 | 12 59.9 10.6 S21 28.9 3.1 55.0 |
14 | 30 45.8 S23 21.3 | 27 29.5 10.6 S21 25.7 3.2 55.0 |
15 | 45 45.5 S23 21.3 | 41 59.1 10.6 S21 22.3 3.3 55.0 |
16 | 60 45.2 S23 21.3 | 56 28.7 10.6 S21 18.9 3.4 55.0 |
17 | 75 44.9 S23 21.3 | 70 58.3 10.6 S21 15.4 3.5 55.1 |
| | |
18 | 90 44.6 S23 21.3 | 85 28.0 10.6 S21 11.7 3.7 55.1 |
19 | 105 44.3 S23 21.3 | 99 57.6 10.6 S21 07.9 3.8 55.1 |
20 | 120 44.0 S23 21.3 | 114 27.2 10.6 S21 04.1 3.9 55.1 |
21 | 135 43.7 S23 21.3 | 128 56.9 10.6 S21 00.1 4.0 55.1 |
22 | 150 43.4 S23 21.3 | 143 26.5 10.7 S20 56.0 4.1 55.1 |
23 | 165 43.1 S23 21.3 | 157 56.2 10.7 S20 51.8 4.2 55.2 |
------+-------------------+----------------------------------|
|S.D. 16.2 d 0.0 | S.D. 14.8 14.9 15.0 |