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2050 DEC. 31, 2051 JAN. 1, 2 (SAT, SUN, MON)
------+----------+-------------------+-------------------+-------------------+--------------------
| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
31 0 | 99 37.5 | 228 30.6 S15 19.1 | 95 08.4 N 1 48.3 | 301 42.8 N10 23.4 | 149 22.0 S18 57.9
1 | 114 39.9 | 243 30.5 S15 19.8 | 110 09.4 N 1 49.0 | 316 45.3 N10 23.5 | 164 24.2 S18 57.8
2 | 129 42.4 | 258 30.3 S15 20.4 | 125 10.4 N 1 49.7 | 331 47.8 N10 23.5 | 179 26.4 S18 57.7
3 | 144 44.9 | 273 30.2 S15 21.1 | 140 11.5 N 1 50.4 | 346 50.4 N10 23.5 | 194 28.6 S18 57.7
4 | 159 47.3 | 288 30.0 S15 21.7 | 155 12.5 N 1 51.0 | 1 52.9 N10 23.6 | 209 30.7 S18 57.6
S 5 | 174 49.8 | 303 29.9 S15 22.3 | 170 13.5 N 1 51.7 | 16 55.4 N10 23.6 | 224 32.9 S18 57.5
A
T 6 | 189 52.2 | 318 29.7 S15 23.0 | 185 14.5 N 1 52.4 | 31 58.0 N10 23.7 | 239 35.1 S18 57.5
U 7 | 204 54.7 | 333 29.6 S15 23.6 | 200 15.5 N 1 53.1 | 47 00.5 N10 23.7 | 254 37.3 S18 57.4
R 8 | 219 57.2 | 348 29.4 S15 24.3 | 215 16.6 N 1 53.8 | 62 03.1 N10 23.7 | 269 39.5 S18 57.3
D 9 | 234 59.6 | 3 29.2 S15 24.9 | 230 17.6 N 1 54.5 | 77 05.6 N10 23.8 | 284 41.7 S18 57.2
A 10 | 250 02.1 | 18 29.1 S15 25.6 | 245 18.6 N 1 55.2 | 92 08.1 N10 23.8 | 299 43.8 S18 57.2
Y 11 | 265 04.6 | 33 28.9 S15 26.2 | 260 19.6 N 1 55.8 | 107 10.7 N10 23.9 | 314 46.0 S18 57.1
12 | 280 07.0 | 48 28.8 S15 26.8 | 275 20.7 N 1 56.5 | 122 13.2 N10 23.9 | 329 48.2 S18 57.0
13 | 295 09.5 | 63 28.6 S15 27.5 | 290 21.7 N 1 57.2 | 137 15.7 N10 23.9 | 344 50.4 S18 57.0
14 | 310 12.0 | 78 28.5 S15 28.1 | 305 22.7 N 1 57.9 | 152 18.3 N10 24.0 | 359 52.6 S18 56.9
15 | 325 14.4 | 93 28.3 S15 28.8 | 320 23.7 N 1 58.6 | 167 20.8 N10 24.0 | 14 54.7 S18 56.8
16 | 340 16.9 | 108 28.1 S15 29.4 | 335 24.7 N 1 59.3 | 182 23.3 N10 24.1 | 29 56.9 S18 56.8
17 | 355 19.4 | 123 28.0 S15 30.0 | 350 25.8 N 1 60.0 | 197 25.9 N10 24.1 | 44 59.1 S18 56.7
18 | 10 21.8 | 138 27.8 S15 30.7 | 5 26.8 N 2 00.6 | 212 28.4 N10 24.1 | 60 01.3 S18 56.6
19 | 25 24.3 | 153 27.7 S15 31.3 | 20 27.8 N 2 01.3 | 227 31.0 N10 24.2 | 75 03.5 S18 56.6
20 | 40 26.7 | 168 27.5 S15 32.0 | 35 28.8 N 2 02.0 | 242 33.5 N10 24.2 | 90 05.6 S18 56.5
21 | 55 29.2 | 183 27.3 S15 32.6 | 50 29.8 N 2 02.7 | 257 36.0 N10 24.3 | 105 07.8 S18 56.4
22 | 70 31.7 | 198 27.2 S15 33.2 | 65 30.9 N 2 03.4 | 272 38.6 N10 24.3 | 120 10.0 S18 56.3
23 | 85 34.1 | 213 27.0 S15 33.9 | 80 31.9 N 2 04.1 | 287 41.1 N10 24.3 | 135 12.2 S18 56.3
------+----------+-------------------+-------------------+-------------------+--------------------
1 0 | 100 36.6 | 228 26.8 S15 34.5 | 95 32.9 N 2 04.8 | 302 43.6 N10 24.4 | 150 14.4 S18 56.2
1 | 115 39.1 | 243 26.7 S15 35.2 | 110 33.9 N 2 05.4 | 317 46.2 N10 24.4 | 165 16.5 S18 56.1
2 | 130 41.5 | 258 26.5 S15 35.8 | 125 34.9 N 2 06.1 | 332 48.7 N10 24.5 | 180 18.7 S18 56.1
3 | 145 44.0 | 273 26.3 S15 36.4 | 140 36.0 N 2 06.8 | 347 51.3 N10 24.5 | 195 20.9 S18 56.0
4 | 160 46.5 | 288 26.1 S15 37.1 | 155 37.0 N 2 07.5 | 2 53.8 N10 24.5 | 210 23.1 S18 55.9
S 5 | 175 48.9 | 303 26.0 S15 37.7 | 170 38.0 N 2 08.2 | 17 56.4 N10 24.6 | 225 25.3 S18 55.9
U
N 6 | 190 51.4 | 318 25.8 S15 38.3 | 185 39.0 N 2 08.9 | 32 58.9 N10 24.6 | 240 27.5 S18 55.8
D 7 | 205 53.8 | 333 25.6 S15 39.0 | 200 40.0 N 2 09.6 | 48 01.4 N10 24.7 | 255 29.6 S18 55.7
A 8 | 220 56.3 | 348 25.5 S15 39.6 | 215 41.1 N 2 10.3 | 63 04.0 N10 24.7 | 270 31.8 S18 55.6
Y 9 | 235 58.8 | 3 25.3 S15 40.3 | 230 42.1 N 2 10.9 | 78 06.5 N10 24.8 | 285 34.0 S18 55.6
10 | 251 01.2 | 18 25.1 S15 40.9 | 245 43.1 N 2 11.6 | 93 09.1 N10 24.8 | 300 36.2 S18 55.5
11 | 266 03.7 | 33 24.9 S15 41.5 | 260 44.1 N 2 12.3 | 108 11.6 N10 24.8 | 315 38.4 S18 55.4
12 | 281 06.2 | 48 24.7 S15 42.2 | 275 45.1 N 2 13.0 | 123 14.1 N10 24.9 | 330 40.5 S18 55.4
13 | 296 08.6 | 63 24.6 S15 42.8 | 290 46.2 N 2 13.7 | 138 16.7 N10 24.9 | 345 42.7 S18 55.3
14 | 311 11.1 | 78 24.4 S15 43.4 | 305 47.2 N 2 14.4 | 153 19.2 N10 25.0 | 0 44.9 S18 55.2
15 | 326 13.6 | 93 24.2 S15 44.1 | 320 48.2 N 2 15.1 | 168 21.8 N10 25.0 | 15 47.1 S18 55.2
16 | 341 16.0 | 108 24.0 S15 44.7 | 335 49.2 N 2 15.7 | 183 24.3 N10 25.1 | 30 49.3 S18 55.1
17 | 356 18.5 | 123 23.8 S15 45.3 | 350 50.2 N 2 16.4 | 198 26.9 N10 25.1 | 45 51.4 S18 55.0
18 | 11 21.0 | 138 23.7 S15 46.0 | 5 51.3 N 2 17.1 | 213 29.4 N10 25.1 | 60 53.6 S18 54.9
19 | 26 23.4 | 153 23.5 S15 46.6 | 20 52.3 N 2 17.8 | 228 32.0 N10 25.2 | 75 55.8 S18 54.9
20 | 41 25.9 | 168 23.3 S15 47.3 | 35 53.3 N 2 18.5 | 243 34.5 N10 25.2 | 90 58.0 S18 54.8
21 | 56 28.3 | 183 23.1 S15 47.9 | 50 54.3 N 2 19.2 | 258 37.1 N10 25.3 | 106 00.1 S18 54.7
22 | 71 30.8 | 198 22.9 S15 48.5 | 65 55.3 N 2 19.9 | 273 39.6 N10 25.3 | 121 02.3 S18 54.7
23 | 86 33.3 | 213 22.7 S15 49.2 | 80 56.3 N 2 20.5 | 288 42.1 N10 25.4 | 136 04.5 S18 54.6
------+----------+-------------------+-------------------+-------------------+--------------------
2 0 | 101 35.7 | 228 22.6 S15 49.8 | 95 57.4 N 2 21.2 | 303 44.7 N10 25.4 | 151 06.7 S18 54.5
1 | 116 38.2 | 243 22.4 S15 50.4 | 110 58.4 N 2 21.9 | 318 47.2 N10 25.5 | 166 08.9 S18 54.5
2 | 131 40.7 | 258 22.2 S15 51.1 | 125 59.4 N 2 22.6 | 333 49.8 N10 25.5 | 181 11.0 S18 54.4
3 | 146 43.1 | 273 22.0 S15 51.7 | 141 00.4 N 2 23.3 | 348 52.3 N10 25.5 | 196 13.2 S18 54.3
4 | 161 45.6 | 288 21.8 S15 52.3 | 156 01.4 N 2 24.0 | 3 54.9 N10 25.6 | 211 15.4 S18 54.2
M 5 | 176 48.1 | 303 21.6 S15 52.9 | 171 02.4 N 2 24.6 | 18 57.4 N10 25.6 | 226 17.6 S18 54.2
O
N 6 | 191 50.5 | 318 21.4 S15 53.6 | 186 03.5 N 2 25.3 | 33 60.0 N10 25.7 | 241 19.8 S18 54.1
D 7 | 206 53.0 | 333 21.2 S15 54.2 | 201 04.5 N 2 26.0 | 49 02.5 N10 25.7 | 256 21.9 S18 54.0
A 8 | 221 55.5 | 348 21.0 S15 54.8 | 216 05.5 N 2 26.7 | 64 05.1 N10 25.8 | 271 24.1 S18 54.0
Y 9 | 236 57.9 | 3 20.8 S15 55.5 | 231 06.5 N 2 27.4 | 79 07.6 N10 25.8 | 286 26.3 S18 53.9
10 | 252 00.4 | 18 20.6 S15 56.1 | 246 07.5 N 2 28.1 | 94 10.2 N10 25.9 | 301 28.5 S18 53.8
11 | 267 02.8 | 33 20.4 S15 56.7 | 261 08.5 N 2 28.8 | 109 12.7 N10 25.9 | 316 30.7 S18 53.8
12 | 282 05.3 | 48 20.2 S15 57.4 | 276 09.6 N 2 29.4 | 124 15.3 N10 25.9 | 331 32.8 S18 53.7
13 | 297 07.8 | 63 20.0 S15 58.0 | 291 10.6 N 2 30.1 | 139 17.8 N10 26.0 | 346 35.0 S18 53.6
14 | 312 10.2 | 78 19.8 S15 58.6 | 306 11.6 N 2 30.8 | 154 20.4 N10 26.0 | 1 37.2 S18 53.5
15 | 327 12.7 | 93 19.6 S15 59.3 | 321 12.6 N 2 31.5 | 169 22.9 N10 26.1 | 16 39.4 S18 53.5
16 | 342 15.2 | 108 19.4 S15 59.9 | 336 13.6 N 2 32.2 | 184 25.5 N10 26.1 | 31 41.5 S18 53.4
17 | 357 17.6 | 123 19.2 S16 00.5 | 351 14.6 N 2 32.9 | 199 28.0 N10 26.2 | 46 43.7 S18 53.3
18 | 12 20.1 | 138 19.0 S16 01.1 | 6 15.7 N 2 33.6 | 214 30.6 N10 26.2 | 61 45.9 S18 53.3
19 | 27 22.6 | 153 18.8 S16 01.8 | 21 16.7 N 2 34.2 | 229 33.2 N10 26.3 | 76 48.1 S18 53.2
20 | 42 25.0 | 168 18.6 S16 02.4 | 36 17.7 N 2 34.9 | 244 35.7 N10 26.3 | 91 50.3 S18 53.1
21 | 57 27.5 | 183 18.4 S16 03.0 | 51 18.7 N 2 35.6 | 259 38.3 N10 26.4 | 106 52.4 S18 53.1
22 | 72 29.9 | 198 18.2 S16 03.6 | 66 19.7 N 2 36.3 | 274 40.8 N10 26.4 | 121 54.6 S18 53.0
23 | 87 32.4 | 213 18.0 S16 04.3 | 81 20.7 N 2 37.0 | 289 43.4 N10 26.5 | 136 56.8 S18 52.9
------+----------+-------------------+-------------------+-------------------+--------------------
| v -0.2 d 0.6 | v 1.0 d 0.7 | v 2.5 d 0.0 | v 2.2 d 0.1
2050 DEC. 31, 2051 JAN. 1, 2 (SAT, SUN, MON)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
31 0 | 179 18.7 S23 05.5 | 326 10.3 12.8 N12 11.9 8.4 55.4 | Acamar 314 56.7 S40 06.4
1 | 194 18.4 S23 05.3 | 340 42.1 12.8 N12 03.4 8.4 55.4 | Achernar 335 05.7 S56 59.0
2 | 209 18.1 S23 05.2 | 355 14.0 12.9 N11 54.9 8.5 55.4 | Acrux 172 37.5 S63 22.6
3 | 224 17.8 S23 05.0 | 9 46.0 13.0 N11 46.4 8.5 55.4 | Adhara 254 50.0 S29 02.8
4 | 239 17.5 S23 04.8 | 24 18.0 13.0 N11 37.8 8.6 55.3 | Albireo 66 48.5 N28 04.3
S 5 | 254 17.2 S23 04.6 | 38 50.1 13.1 N11 29.2 8.6 55.3 |
A | | | Aldebaran 290 16.7 N16 36.5
T 6 | 269 16.9 S23 04.4 | 53 22.2 13.1 N11 20.5 8.7 55.3 | Alioth 165 56.1 N55 40.7
U 7 | 284 16.6 S23 04.2 | 67 54.4 13.2 N11 11.8 8.7 55.3 | Alkaid 152 36.9 N49 03.3
R 8 | 299 16.3 S23 04.0 | 82 26.7 13.2 N11 03.0 8.8 55.2 | Al Na-ir 27 08.7 S46 42.8
D 9 | 314 16.0 S23 03.9 | 96 59.0 13.3 N10 54.2 8.8 55.2 | Alnilam 275 17.4 S 1 10.5
A 10 | 329 15.7 S23 03.7 | 111 31.3 13.4 N10 45.4 8.8 55.2 |
Y 11 | 344 15.4 S23 03.5 | 126 03.7 13.4 N10 36.5 8.9 55.2 | Alphard 217 28.1 S 8 53.0
| | | Alphecca 125 47.4 N26 32.6
12 | 359 15.1 S23 03.3 | 140 36.2 13.5 N10 27.5 8.9 55.2 | Alpheratz 357 14.3 N29 22.6
13 | 14 14.8 S23 03.1 | 155 08.7 13.5 N10 18.6 9.0 55.1 | Altair 61 41.1 N 9 00.5
14 | 29 14.5 S23 02.9 | 169 41.3 13.6 N10 09.6 9.0 55.1 | Ankaa 352 48.0 S42 02.0
15 | 44 14.2 S23 02.7 | 184 13.9 13.6 N10 00.5 9.0 55.1 |
16 | 59 13.9 S23 02.5 | 198 46.6 13.7 N 9 51.5 9.1 55.1 | Antares 111 52.0 S26 32.4
17 | 74 13.6 S23 02.3 | 213 19.3 13.7 N 9 42.4 9.1 55.1 | Arcturus 145 30.2 N18 55.0
| | | Atria 106 28.9 S69 06.7
18 | 89 13.3 S23 02.1 | 227 52.1 13.8 N 9 33.2 9.1 55.0 | Avior 234 05.8 S59 40.5
19 | 104 13.0 S23 01.9 | 242 25.0 13.8 N 9 24.0 9.2 55.0 | Bellatrix 278 01.4 N 6 23.4
20 | 119 12.7 S23 01.7 | 256 57.8 13.9 N 9 14.8 9.2 55.0 |
21 | 134 12.4 S23 01.5 | 271 30.8 13.9 N 9 05.6 9.2 55.0 | Betelgeuse 270 30.4 N 7 24.7
22 | 149 12.1 S23 01.3 | 286 03.7 14.0 N 8 56.3 9.3 55.0 | Canopus 263 43.0 S52 43.7
23 | 164 11.9 S23 01.1 | 300 36.8 14.0 N 8 47.0 9.3 54.9 | Capella 279 52.3 N46 02.7
------+-------------------+----------------------------------| Castor 245 31.6 N31 46.2
1 0 | 179 11.6 S23 00.9 | 315 09.8 14.1 N 8 37.6 9.3 54.9 | Deneb 49 12.6 N45 28.1
1 | 194 11.3 S23 00.7 | 329 43.0 14.1 N 8 28.3 9.4 54.9 |
2 | 209 11.0 S23 00.5 | 344 16.1 14.2 N 8 18.8 9.4 54.9 | Denebola 182 04.9 N14 17.0
3 | 224 10.7 S23 00.3 | 358 49.3 14.2 N 8 09.4 9.4 54.9 | Diphda 348 27.7 S17 42.5
4 | 239 10.4 S23 00.1 | 13 22.6 14.3 N 7 60.0 9.5 54.9 | Dubhe 193 17.1 N61 28.1
S 5 | 254 10.1 S22 59.9 | 27 55.9 14.3 N 7 50.5 9.5 54.8 | Elnath 277 36.6 N28 38.7
U | | | Eltanin 90 33.6 N51 29.1
N 6 | 269 09.8 S22 59.7 | 42 29.2 14.3 N 7 41.0 9.5 54.8 |
D 7 | 284 09.5 S22 59.5 | 57 02.6 14.4 N 7 31.4 9.5 54.8 | Enif 33 19.6 N10 06.8
A 8 | 299 09.2 S22 59.3 | 71 36.1 14.4 N 7 21.9 9.6 54.8 | Fomalhaut 14 53.1 S29 21.1
Y 9 | 314 08.9 S22 59.1 | 86 09.5 14.5 N 7 12.3 9.6 54.8 | Gacrux 171 29.3 S57 23.7
10 | 329 08.6 S22 58.9 | 100 43.0 14.5 N 7 02.7 9.6 54.8 | Gienah 175 23.2 S17 49.5
11 | 344 08.3 S22 58.7 | 115 16.6 14.5 N 6 53.0 9.6 54.7 | Hadar 148 08.0 S60 36.8
| | |
12 | 359 08.0 S22 58.5 | 129 50.2 14.6 N 6 43.4 9.7 54.7 | Hamal 327 28.8 N23 42.3
13 | 14 07.7 S22 58.3 | 144 23.8 14.6 N 6 33.7 9.7 54.7 | Kaus Austr. 83 06.9 S34 21.3
14 | 29 07.4 S22 58.1 | 158 57.5 14.7 N 6 24.0 9.7 54.7 | Kochab 137 22.1 N73 56.6
15 | 44 07.1 S22 57.8 | 173 31.2 14.7 N 6 14.3 9.7 54.7 | Markab 13 10.4 N15 28.9
16 | 59 06.9 S22 57.6 | 188 04.9 14.7 N 6 04.6 9.7 54.7 | Menkar 313 45.3 N 4 17.2
17 | 74 06.6 S22 57.4 | 202 38.7 14.8 N 5 54.8 9.8 54.6 |
| | | Menkent 147 34.4 S36 37.0
18 | 89 06.3 S22 57.2 | 217 12.5 14.8 N 5 45.0 9.8 54.6 | Miaplacidus 221 32.7 S69 55.6
19 | 104 06.0 S22 57.0 | 231 46.3 14.8 N 5 35.3 9.8 54.6 | Mirfak 307 59.5 N50 02.5
20 | 119 05.7 S22 56.8 | 246 20.2 14.9 N 5 25.5 9.8 54.6 | Nunki 75 23.8 S26 13.7
21 | 134 05.4 S22 56.6 | 260 54.1 14.9 N 5 15.6 9.8 54.6 | Peacock 52 35.5 S56 34.1
22 | 149 05.1 S22 56.3 | 275 28.0 14.9 N 5 05.8 9.8 54.6 |
23 | 164 04.8 S22 56.1 | 290 02.0 15.0 N 4 55.9 9.9 54.6 | Polaris 309 21.6 N89 28.8
------+-------------------+----------------------------------| Pollux 242 53.0 N27 53.8
2 0 | 179 04.5 S22 55.9 | 304 36.0 15.0 N 4 46.1 9.9 54.5 | Procyon 244 29.9 N 5 05.3
1 | 194 04.2 S22 55.7 | 319 10.0 15.0 N 4 36.2 9.9 54.5 | Rasalhague 95 40.7 N12 31.6
2 | 209 03.9 S22 55.5 | 333 44.1 15.1 N 4 26.3 9.9 54.5 | Regulus 207 13.3 N11 42.8
3 | 224 03.6 S22 55.2 | 348 18.2 15.1 N 4 16.4 9.9 54.5 |
4 | 239 03.4 S22 55.0 | 2 52.3 15.1 N 4 06.5 9.9 54.5 | Rigel 280 44.6 S 8 08.9
M 5 | 254 03.1 S22 54.8 | 17 26.5 15.1 N 3 56.6 9.9 54.5 | Rigil Kent 139 13.5 S61 02.3
O | | | Sabik 101 40.5 S15 47.0
N 6 | 269 02.8 S22 54.6 | 32 00.6 15.2 N 3 46.6 9.9 54.5 | Schedar 349 08.2 N56 49.3
D 7 | 284 02.5 S22 54.3 | 46 34.8 15.2 N 3 36.7 9.9 54.5 | Shaula 95 44.0 S37 08.1
A 8 | 299 02.2 S22 54.1 | 61 09.0 15.2 N 3 26.7 10.0 54.4 |
Y 9 | 314 01.9 S22 53.9 | 75 43.3 15.2 N 3 16.7 10.0 54.4 | Sirius 258 08.5 S16 47.5
10 | 329 01.6 S22 53.7 | 90 17.6 15.3 N 3 06.8 10.0 54.4 | Spica 158 01.6 S11 25.6
11 | 344 01.3 S22 53.4 | 104 51.8 15.3 N 2 56.8 10.0 54.4 | Suhail 222 31.3 S43 38.4
| | | Vega 80 20.3 N38 50.1
12 | 359 01.0 S22 53.2 | 119 26.2 15.3 N 2 46.8 10.0 54.4 | Zuben-ubi 136 35.8 S16 15.0
13 | 14 00.7 S22 53.0 | 134 00.5 15.3 N 2 36.8 10.0 54.4 |
14 | 29 00.4 S22 52.7 | 148 34.8 15.4 N 2 26.8 10.0 54.4 |
15 | 44 00.2 S22 52.5 | 163 09.2 15.4 N 2 16.8 10.0 54.4 |
16 | 58 59.9 S22 52.3 | 177 43.6 15.4 N 2 06.8 10.0 54.4 |
17 | 73 59.6 S22 52.1 | 192 18.0 15.4 N 1 56.8 10.0 54.4 |
| | |
18 | 88 59.3 S22 51.8 | 206 52.4 15.4 N 1 46.7 10.0 54.3 |
19 | 103 59.0 S22 51.6 | 221 26.9 15.4 N 1 36.7 10.0 54.3 |
20 | 118 58.7 S22 51.3 | 236 01.3 15.5 N 1 26.7 10.0 54.3 |
21 | 133 58.4 S22 51.1 | 250 35.8 15.5 N 1 16.7 10.0 54.3 |
22 | 148 58.1 S22 50.9 | 265 10.3 15.5 N 1 06.6 10.0 54.3 |
23 | 163 57.8 S22 50.6 | 279 44.8 15.5 N 0 56.6 10.0 54.3 |
------+-------------------+----------------------------------|
|S.D. 16.3 d 0.2 | S.D. 15.0 14.9 14.8 |