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2045 DEC. 15, 16, 17 (FRI, SAT, SUN)
------+----------+-------------------+-------------------+-------------------+--------------------
| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
15 0 | 84 03.7 | 153 33.7 S22 41.3 | 256 22.0 S 1 17.1 | 105 47.0 S10 20.6 | 189 48.5 S21 11.8
1 | 99 06.2 | 168 36.6 S22 40.8 | 271 23.3 S 1 17.6 | 120 49.2 S10 20.5 | 204 50.6 S21 11.8
2 | 114 08.6 | 183 39.5 S22 40.3 | 286 24.6 S 1 18.1 | 135 51.3 S10 20.3 | 219 52.8 S21 11.9
3 | 129 11.1 | 198 42.4 S22 39.8 | 301 25.8 S 1 18.6 | 150 53.4 S10 20.2 | 234 54.9 S21 11.9
4 | 144 13.6 | 213 45.3 S22 39.3 | 316 27.1 S 1 19.1 | 165 55.5 S10 20.1 | 249 57.1 S21 11.9
F 5 | 159 16.0 | 228 48.2 S22 38.8 | 331 28.4 S 1 19.6 | 180 57.7 S10 19.9 | 264 59.2 S21 12.0
R
I 6 | 174 18.5 | 243 51.1 S22 38.3 | 346 29.6 S 1 20.1 | 195 59.8 S10 19.8 | 280 01.4 S21 12.0
D 7 | 189 21.0 | 258 54.0 S22 37.8 | 1 30.9 S 1 20.5 | 211 01.9 S10 19.6 | 295 03.5 S21 12.0
A 8 | 204 23.4 | 273 56.9 S22 37.3 | 16 32.2 S 1 21.0 | 226 04.0 S10 19.5 | 310 05.7 S21 12.1
Y 9 | 219 25.9 | 288 59.8 S22 36.8 | 31 33.4 S 1 21.5 | 241 06.2 S10 19.4 | 325 07.8 S21 12.1
10 | 234 28.4 | 304 02.7 S22 36.3 | 46 34.7 S 1 22.0 | 256 08.3 S10 19.2 | 340 10.0 S21 12.1
11 | 249 30.8 | 319 05.6 S22 35.8 | 61 36.0 S 1 22.5 | 271 10.4 S10 19.1 | 355 12.1 S21 12.2
12 | 264 33.3 | 334 08.6 S22 35.3 | 76 37.2 S 1 23.0 | 286 12.5 S10 18.9 | 10 14.3 S21 12.2
13 | 279 35.7 | 349 11.5 S22 34.8 | 91 38.5 S 1 23.5 | 301 14.7 S10 18.8 | 25 16.4 S21 12.2
14 | 294 38.2 | 4 14.4 S22 34.3 | 106 39.8 S 1 24.0 | 316 16.8 S10 18.7 | 40 18.6 S21 12.3
15 | 309 40.7 | 19 17.4 S22 33.8 | 121 41.0 S 1 24.5 | 331 18.9 S10 18.5 | 55 20.7 S21 12.3
16 | 324 43.1 | 34 20.3 S22 33.3 | 136 42.3 S 1 25.0 | 346 21.0 S10 18.4 | 70 22.9 S21 12.3
17 | 339 45.6 | 49 23.3 S22 32.8 | 151 43.6 S 1 25.5 | 1 23.2 S10 18.2 | 85 25.0 S21 12.4
18 | 354 48.1 | 64 26.2 S22 32.3 | 166 44.9 S 1 25.9 | 16 25.3 S10 18.1 | 100 27.2 S21 12.4
19 | 9 50.5 | 79 29.2 S22 31.8 | 181 46.1 S 1 26.4 | 31 27.4 S10 18.0 | 115 29.3 S21 12.4
20 | 24 53.0 | 94 32.1 S22 31.3 | 196 47.4 S 1 26.9 | 46 29.5 S10 17.8 | 130 31.5 S21 12.5
21 | 39 55.5 | 109 35.1 S22 30.9 | 211 48.7 S 1 27.4 | 61 31.7 S10 17.7 | 145 33.6 S21 12.5
22 | 54 57.9 | 124 38.1 S22 30.4 | 226 49.9 S 1 27.9 | 76 33.8 S10 17.5 | 160 35.8 S21 12.5
23 | 70 00.4 | 139 41.1 S22 29.9 | 241 51.2 S 1 28.4 | 91 35.9 S10 17.4 | 175 37.9 S21 12.6
------+----------+-------------------+-------------------+-------------------+--------------------
16 0 | 85 02.9 | 154 44.0 S22 29.4 | 256 52.5 S 1 28.9 | 106 38.0 S10 17.3 | 190 40.1 S21 12.6
1 | 100 05.3 | 169 47.0 S22 28.9 | 271 53.7 S 1 29.4 | 121 40.1 S10 17.1 | 205 42.3 S21 12.6
2 | 115 07.8 | 184 50.0 S22 28.4 | 286 55.0 S 1 29.9 | 136 42.3 S10 17.0 | 220 44.4 S21 12.7
3 | 130 10.2 | 199 53.0 S22 27.9 | 301 56.3 S 1 30.4 | 151 44.4 S10 16.8 | 235 46.6 S21 12.7
4 | 145 12.7 | 214 56.0 S22 27.4 | 316 57.6 S 1 30.8 | 166 46.5 S10 16.7 | 250 48.7 S21 12.7
S 5 | 160 15.2 | 229 59.0 S22 26.9 | 331 58.8 S 1 31.3 | 181 48.6 S10 16.6 | 265 50.9 S21 12.8
A
T 6 | 175 17.6 | 245 02.0 S22 26.4 | 347 00.1 S 1 31.8 | 196 50.8 S10 16.4 | 280 53.0 S21 12.8
U 7 | 190 20.1 | 260 05.1 S22 25.9 | 2 01.4 S 1 32.3 | 211 52.9 S10 16.3 | 295 55.2 S21 12.8
R 8 | 205 22.6 | 275 08.1 S22 25.4 | 17 02.6 S 1 32.8 | 226 55.0 S10 16.1 | 310 57.3 S21 12.9
D 9 | 220 25.0 | 290 11.1 S22 24.9 | 32 03.9 S 1 33.3 | 241 57.1 S10 16.0 | 325 59.5 S21 12.9
A 10 | 235 27.5 | 305 14.1 S22 24.4 | 47 05.2 S 1 33.8 | 256 59.2 S10 15.8 | 341 01.6 S21 12.9
Y 11 | 250 30.0 | 320 17.2 S22 23.9 | 62 06.5 S 1 34.3 | 272 01.4 S10 15.7 | 356 03.8 S21 13.0
12 | 265 32.4 | 335 20.2 S22 23.4 | 77 07.7 S 1 34.7 | 287 03.5 S10 15.6 | 11 05.9 S21 13.0
13 | 280 34.9 | 350 23.3 S22 22.9 | 92 09.0 S 1 35.2 | 302 05.6 S10 15.4 | 26 08.1 S21 13.0
14 | 295 37.3 | 5 26.3 S22 22.4 | 107 10.3 S 1 35.7 | 317 07.7 S10 15.3 | 41 10.2 S21 13.1
15 | 310 39.8 | 20 29.4 S22 21.9 | 122 11.5 S 1 36.2 | 332 09.8 S10 15.1 | 56 12.4 S21 13.1
16 | 325 42.3 | 35 32.4 S22 21.4 | 137 12.8 S 1 36.7 | 347 12.0 S10 15.0 | 71 14.5 S21 13.1
17 | 340 44.7 | 50 35.5 S22 20.9 | 152 14.1 S 1 37.2 | 2 14.1 S10 14.9 | 86 16.7 S21 13.2
18 | 355 47.2 | 65 38.5 S22 20.4 | 167 15.4 S 1 37.7 | 17 16.2 S10 14.7 | 101 18.8 S21 13.2
19 | 10 49.7 | 80 41.6 S22 19.9 | 182 16.6 S 1 38.2 | 32 18.3 S10 14.6 | 116 21.0 S21 13.2
20 | 25 52.1 | 95 44.7 S22 19.4 | 197 17.9 S 1 38.6 | 47 20.4 S10 14.4 | 131 23.1 S21 13.3
21 | 40 54.6 | 110 47.8 S22 18.9 | 212 19.2 S 1 39.1 | 62 22.5 S10 14.3 | 146 25.3 S21 13.3
22 | 55 57.1 | 125 50.9 S22 18.4 | 227 20.5 S 1 39.6 | 77 24.7 S10 14.1 | 161 27.4 S21 13.3
23 | 70 59.5 | 140 54.0 S22 17.9 | 242 21.7 S 1 40.1 | 92 26.8 S10 14.0 | 176 29.6 S21 13.4
------+----------+-------------------+-------------------+-------------------+--------------------
17 0 | 86 02.0 | 155 57.0 S22 17.4 | 257 23.0 S 1 40.6 | 107 28.9 S10 13.9 | 191 31.7 S21 13.4
1 | 101 04.5 | 171 00.1 S22 16.9 | 272 24.3 S 1 41.1 | 122 31.0 S10 13.7 | 206 33.9 S21 13.4
2 | 116 06.9 | 186 03.3 S22 16.4 | 287 25.6 S 1 41.6 | 137 33.1 S10 13.6 | 221 36.0 S21 13.5
3 | 131 09.4 | 201 06.4 S22 15.9 | 302 26.8 S 1 42.1 | 152 35.2 S10 13.4 | 236 38.2 S21 13.5
4 | 146 11.8 | 216 09.5 S22 15.4 | 317 28.1 S 1 42.5 | 167 37.4 S10 13.3 | 251 40.3 S21 13.5
S 5 | 161 14.3 | 231 12.6 S22 14.9 | 332 29.4 S 1 43.0 | 182 39.5 S10 13.1 | 266 42.5 S21 13.6
U
N 6 | 176 16.8 | 246 15.7 S22 14.4 | 347 30.7 S 1 43.5 | 197 41.6 S10 13.0 | 281 44.6 S21 13.6
D 7 | 191 19.2 | 261 18.8 S22 13.9 | 2 31.9 S 1 44.0 | 212 43.7 S10 12.9 | 296 46.8 S21 13.6
A 8 | 206 21.7 | 276 22.0 S22 13.4 | 17 33.2 S 1 44.5 | 227 45.8 S10 12.7 | 311 48.9 S21 13.7
Y 9 | 221 24.2 | 291 25.1 S22 12.9 | 32 34.5 S 1 45.0 | 242 47.9 S10 12.6 | 326 51.1 S21 13.7
10 | 236 26.6 | 306 28.3 S22 12.4 | 47 35.8 S 1 45.4 | 257 50.0 S10 12.4 | 341 53.2 S21 13.7
11 | 251 29.1 | 321 31.4 S22 11.9 | 62 37.1 S 1 45.9 | 272 52.2 S10 12.3 | 356 55.4 S21 13.7
12 | 266 31.6 | 336 34.6 S22 11.4 | 77 38.3 S 1 46.4 | 287 54.3 S10 12.1 | 11 57.5 S21 13.8
13 | 281 34.0 | 351 37.7 S22 10.9 | 92 39.6 S 1 46.9 | 302 56.4 S10 12.0 | 26 59.7 S21 13.8
14 | 296 36.5 | 6 40.9 S22 10.4 | 107 40.9 S 1 47.4 | 317 58.5 S10 11.8 | 42 01.8 S21 13.8
15 | 311 39.0 | 21 44.0 S22 09.9 | 122 42.2 S 1 47.9 | 333 00.6 S10 11.7 | 57 04.0 S21 13.9
16 | 326 41.4 | 36 47.2 S22 09.4 | 137 43.4 S 1 48.4 | 348 02.7 S10 11.6 | 72 06.2 S21 13.9
17 | 341 43.9 | 51 50.4 S22 08.9 | 152 44.7 S 1 48.8 | 3 04.8 S10 11.4 | 87 08.3 S21 13.9
18 | 356 46.3 | 66 53.6 S22 08.4 | 167 46.0 S 1 49.3 | 18 07.0 S10 11.3 | 102 10.5 S21 14.0
19 | 11 48.8 | 81 56.7 S22 07.8 | 182 47.3 S 1 49.8 | 33 09.1 S10 11.1 | 117 12.6 S21 14.0
20 | 26 51.3 | 96 59.9 S22 07.3 | 197 48.6 S 1 50.3 | 48 11.2 S10 11.0 | 132 14.8 S21 14.0
21 | 41 53.7 | 112 03.1 S22 06.8 | 212 49.8 S 1 50.8 | 63 13.3 S10 10.8 | 147 16.9 S21 14.1
22 | 56 56.2 | 127 06.3 S22 06.3 | 227 51.1 S 1 51.3 | 78 15.4 S10 10.7 | 162 19.1 S21 14.1
23 | 71 58.7 | 142 09.5 S22 05.8 | 242 52.4 S 1 51.7 | 93 17.5 S10 10.5 | 177 21.2 S21 14.1
------+----------+-------------------+-------------------+-------------------+--------------------
| v 3.0 d 0.5 | v 1.3 d 0.5 | v 2.1 d 0.1 | v 2.2 d 0.0
2045 DEC. 15, 16, 17 (FRI, SAT, SUN)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
15 0 | 181 14.7 S23 16.2 | 106 21.7 16.8 S 7 16.7 13.1 54.2 | Acamar 314 59.4 S40 07.3
1 | 196 14.4 S23 16.4 | 120 57.4 16.8 S 7 03.5 13.1 54.2 | Achernar 335 08.1 S57 00.4
2 | 211 14.1 S23 16.5 | 135 33.3 16.8 S 6 50.4 13.2 54.2 | Acrux 172 42.4 S63 20.9
3 | 226 13.8 S23 16.6 | 150 09.1 16.8 S 6 37.2 13.2 54.2 | Adhara 254 53.0 S29 02.0
4 | 241 13.5 S23 16.7 | 164 45.0 16.9 S 6 23.9 13.2 54.2 | Albireo 66 51.6 N28 03.5
F 5 | 256 13.2 S23 16.9 | 179 20.8 16.9 S 6 10.7 13.2 54.2 |
R | | | Aldebaran 290 21.0 N16 36.1
I 6 | 271 12.9 S23 17.0 | 193 56.7 16.9 S 5 57.4 13.3 54.2 | Alioth 165 59.2 N55 42.3
D 7 | 286 12.6 S23 17.1 | 208 32.7 16.9 S 5 44.1 13.3 54.2 | Alkaid 152 39.8 N49 04.8
A 8 | 301 12.3 S23 17.2 | 223 08.6 16.9 S 5 30.8 13.3 54.2 | Al Na-ir 27 13.2 S46 44.4
Y 9 | 316 12.0 S23 17.3 | 237 44.6 17.0 S 5 17.5 13.3 54.2 | Alnilam 275 21.2 S 1 10.4
10 | 331 11.7 S23 17.5 | 252 20.5 17.0 S 5 04.2 13.3 54.2 |
11 | 346 11.4 S23 17.6 | 266 56.5 17.0 S 4 50.8 13.4 54.2 | Alphard 217 31.9 S 8 51.5
| | | Alphecca 125 50.6 N26 33.5
12 | 1 11.1 S23 17.7 | 281 32.5 17.0 S 4 37.4 13.4 54.2 | Alpheratz 357 18.3 N29 20.9
13 | 16 10.8 S23 17.8 | 296 08.6 17.0 S 4 24.0 13.4 54.2 | Altair 61 44.8 N 8 59.5
14 | 31 10.5 S23 17.9 | 310 44.6 17.0 S 4 10.6 13.4 54.2 | Ankaa 352 51.4 S42 03.6
15 | 46 10.2 S23 18.0 | 325 20.6 17.0 S 3 57.2 13.4 54.2 |
16 | 61 09.9 S23 18.2 | 339 56.7 17.1 S 3 43.7 13.5 54.2 | Antares 111 56.7 S26 31.9
17 | 76 09.6 S23 18.3 | 354 32.8 17.1 S 3 30.2 13.5 54.3 | Arcturus 145 33.6 N18 56.5
| | | Atria 106 37.3 S69 06.5
18 | 91 09.3 S23 18.4 | 9 08.8 17.1 S 3 16.7 13.5 54.3 | Avior 234 07.7 S59 39.3
19 | 106 09.0 S23 18.5 | 23 44.9 17.1 S 3 03.2 13.5 54.3 | Bellatrix 278 05.5 N 6 23.4
20 | 121 08.7 S23 18.6 | 38 21.0 17.1 S 2 49.7 13.5 54.3 |
21 | 136 08.4 S23 18.7 | 52 57.1 17.1 S 2 36.2 13.5 54.3 | Betelgeuse 270 34.5 N 7 24.9
22 | 151 08.1 S23 18.8 | 67 33.2 17.1 S 2 22.7 13.5 54.3 | Canopus 263 44.7 S52 43.2
23 | 166 07.8 S23 18.9 | 82 09.3 17.1 S 2 09.1 13.6 54.3 | Capella 279 57.9 N46 02.6
------+-------------------+----------------------------------| Castor 245 36.5 N31 47.1
16 0 | 181 07.5 S23 19.0 | 96 45.4 17.1 S 1 55.6 13.6 54.3 | Deneb 49 15.3 N45 26.9
1 | 196 07.2 S23 19.2 | 111 21.4 17.1 S 1 42.0 13.6 54.3 |
2 | 211 06.9 S23 19.3 | 125 57.5 17.1 S 1 28.4 13.6 54.3 | Denebola 182 08.8 N14 18.8
3 | 226 06.6 S23 19.4 | 140 33.6 17.1 S 1 14.8 13.6 54.3 | Diphda 348 31.3 S17 44.1
4 | 241 06.3 S23 19.5 | 155 09.7 17.1 S 1 01.2 13.6 54.3 | Dubhe 193 21.5 N61 29.8
S 5 | 256 06.0 S23 19.6 | 169 45.8 17.1 S 0 47.6 13.6 54.3 | Elnath 277 41.4 N28 38.7
A | | | Eltanin 90 35.4 N51 29.0
T 6 | 271 05.7 S23 19.7 | 184 21.9 17.1 S 0 34.0 13.6 54.4 |
U 7 | 286 05.4 S23 19.8 | 198 57.9 17.1 S 0 20.4 13.6 54.4 | Enif 33 23.3 N10 05.3
R 8 | 301 05.1 S23 19.9 | 213 34.0 17.1 S 0 06.7 13.6 54.4 | Fomalhaut 14 57.1 S29 22.8
D 9 | 316 04.8 S23 20.0 | 228 10.0 17.0 N 0 06.9 13.6 54.4 | Gacrux 171 34.0 S57 22.0
A 10 | 331 04.5 S23 20.1 | 242 46.1 17.0 N 0 20.5 13.6 54.4 | Gienah 175 27.3 S17 47.8
Y 11 | 346 04.1 S23 20.2 | 257 22.1 17.0 N 0 34.2 13.6 54.4 | Hadar 148 13.9 S60 35.4
| | |
12 | 1 03.8 S23 20.3 | 271 58.1 17.0 N 0 47.8 13.6 54.4 | Hamal 327 33.0 N23 41.0
13 | 16 03.5 S23 20.4 | 286 34.1 17.0 N 1 01.5 13.7 54.4 | Kaus Austr. 83 11.9 S34 21.7
14 | 31 03.2 S23 20.5 | 301 10.1 17.0 N 1 15.1 13.7 54.4 | Kochab 137 21.6 N73 57.7
15 | 46 02.9 S23 20.6 | 315 46.1 17.0 N 1 28.8 13.7 54.5 | Markab 13 14.1 N15 27.3
16 | 61 02.6 S23 20.7 | 330 22.0 16.9 N 1 42.4 13.7 54.5 | Menkar 313 49.2 N 4 16.2
17 | 76 02.3 S23 20.7 | 344 57.9 16.9 N 1 56.1 13.7 54.5 |
| | | Menkent 147 39.1 S36 35.7
18 | 91 02.0 S23 20.8 | 359 33.9 16.9 N 2 09.8 13.7 54.5 | Miaplacidus 221 34.2 S69 54.1
19 | 106 01.7 S23 20.9 | 14 09.7 16.9 N 2 23.4 13.7 54.5 | Mirfak 308 05.1 N50 01.6
20 | 121 01.4 S23 21.0 | 28 45.6 16.9 N 2 37.1 13.7 54.5 | Nunki 75 28.4 S26 14.3
21 | 136 01.1 S23 21.1 | 43 21.4 16.8 N 2 50.7 13.7 54.5 | Peacock 52 41.2 S56 35.3
22 | 151 00.8 S23 21.2 | 57 57.3 16.8 N 3 04.4 13.6 54.6 |
23 | 166 00.5 S23 21.3 | 72 33.1 16.8 N 3 18.0 13.6 54.6 | Polaris 310 46.5 N89 27.5
------+-------------------+----------------------------------| Pollux 242 57.6 N27 54.7
17 0 | 181 00.2 S23 21.4 | 87 08.8 16.8 N 3 31.7 13.6 54.6 | Procyon 244 33.9 N 5 06.3
1 | 195 59.9 S23 21.5 | 101 44.6 16.7 N 3 45.3 13.6 54.6 | Rasalhague 95 44.2 N12 31.7
2 | 210 59.6 S23 21.6 | 116 20.3 16.7 N 3 58.9 13.6 54.6 | Regulus 207 17.4 N11 44.4
3 | 225 59.3 S23 21.6 | 130 55.9 16.7 N 4 12.5 13.6 54.6 |
4 | 240 59.0 S23 21.7 | 145 31.6 16.6 N 4 26.2 13.6 54.6 | Rigel 280 48.2 S 8 08.9
S 5 | 255 58.7 S23 21.8 | 160 07.2 16.6 N 4 39.8 13.6 54.7 | Rigil Kent 139 19.2 S61 01.3
U | | | Sabik 101 44.9 S15 46.9
N 6 | 270 58.4 S23 21.9 | 174 42.8 16.6 N 4 53.4 13.6 54.7 | Schedar 349 12.7 N56 47.7
D 7 | 285 58.1 S23 22.0 | 189 18.3 16.5 N 5 07.0 13.6 54.7 | Shaula 95 49.2 S37 08.1
A 8 | 300 57.7 S23 22.1 | 203 53.8 16.5 N 5 20.5 13.6 54.7 |
Y 9 | 315 57.4 S23 22.1 | 218 29.3 16.5 N 5 34.1 13.6 54.7 | Sirius 258 11.9 S16 46.8
10 | 330 57.1 S23 22.2 | 233 04.7 16.4 N 5 47.7 13.6 54.8 | Spica 158 05.7 S11 24.0
11 | 345 56.8 S23 22.3 | 247 40.1 16.4 N 6 01.2 13.5 54.8 | Suhail 222 34.3 S43 37.0
| | | Vega 80 22.9 N38 49.7
12 | 0 56.5 S23 22.4 | 262 15.4 16.3 N 6 14.8 13.5 54.8 | Zuben-ubi 136 40.0 S16 13.9
13 | 15 56.2 S23 22.4 | 276 50.7 16.3 N 6 28.3 13.5 54.8 |
14 | 30 55.9 S23 22.5 | 291 26.0 16.3 N 6 41.8 13.5 54.8 |
15 | 45 55.6 S23 22.6 | 306 01.2 16.2 N 6 55.3 13.5 54.8 |
16 | 60 55.3 S23 22.7 | 320 36.3 16.2 N 7 08.8 13.5 54.9 |
17 | 75 55.0 S23 22.8 | 335 11.4 16.1 N 7 22.2 13.5 54.9 |
| | |
18 | 90 54.7 S23 22.8 | 349 46.5 16.1 N 7 35.7 13.4 54.9 |
19 | 105 54.4 S23 22.9 | 4 21.5 16.0 N 7 49.1 13.4 54.9 |
20 | 120 54.1 S23 23.0 | 18 56.5 16.0 N 8 02.5 13.4 55.0 |
21 | 135 53.8 S23 23.0 | 33 31.4 15.9 N 8 15.9 13.4 55.0 |
22 | 150 53.5 S23 23.1 | 48 06.3 15.9 N 8 29.2 13.4 55.0 |
23 | 165 53.2 S23 23.2 | 62 41.1 15.8 N 8 42.6 13.3 55.0 |
------+-------------------+----------------------------------|
|S.D. 16.3 d 0.1 | S.D. 14.8 14.8 14.9 |