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3181 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 56.2 | 173 12.6 S23 38.8 | 252 22.3 S 4 41.5 | 172 48.6 S22 54.5 | 331 36.6 N20 30.4
1 | 102 58.6 | 188 11.7 S23 38.8 | 267 23.6 S 4 42.0 | 187 50.5 S22 54.5 | 346 39.3 N20 30.4
2 | 118 01.1 | 203 10.7 S23 38.8 | 282 24.8 S 4 42.5 | 202 52.3 S22 54.5 | 1 41.9 N20 30.4
3 | 133 03.6 | 218 09.7 S23 38.8 | 297 26.0 S 4 43.0 | 217 54.2 S22 54.5 | 16 44.6 N20 30.5
4 | 148 06.0 | 233 08.8 S23 38.7 | 312 27.2 S 4 43.5 | 232 56.1 S22 54.4 | 31 47.2 N20 30.5
S 5 | 163 08.5 | 248 07.8 S23 38.7 | 327 28.4 S 4 44.0 | 247 57.9 S22 54.4 | 46 49.8 N20 30.5
A
T 6 | 178 11.0 | 263 06.8 S23 38.7 | 342 29.6 S 4 44.5 | 262 59.8 S22 54.4 | 61 52.5 N20 30.6
U 7 | 193 13.4 | 278 05.9 S23 38.7 | 357 30.8 S 4 44.9 | 278 01.6 S22 54.4 | 76 55.1 N20 30.6
R 8 | 208 15.9 | 293 04.9 S23 38.7 | 12 32.0 S 4 45.4 | 293 03.5 S22 54.4 | 91 57.8 N20 30.6
D 9 | 223 18.3 | 308 03.9 S23 38.7 | 27 33.3 S 4 45.9 | 308 05.3 S22 54.4 | 107 00.4 N20 30.7
A 10 | 238 20.8 | 323 03.0 S23 38.7 | 42 34.5 S 4 46.4 | 323 07.2 S22 54.3 | 122 03.0 N20 30.7
Y 11 | 253 23.3 | 338 02.0 S23 38.6 | 57 35.7 S 4 46.9 | 338 09.0 S22 54.3 | 137 05.7 N20 30.7
12 | 268 25.7 | 353 01.1 S23 38.6 | 72 36.9 S 4 47.4 | 353 10.9 S22 54.3 | 152 08.3 N20 30.8
13 | 283 28.2 | 8 00.1 S23 38.6 | 87 38.1 S 4 47.9 | 8 12.7 S22 54.3 | 167 11.0 N20 30.8
14 | 298 30.7 | 22 59.1 S23 38.6 | 102 39.3 S 4 48.4 | 23 14.6 S22 54.3 | 182 13.6 N20 30.8
15 | 313 33.1 | 37 58.2 S23 38.6 | 117 40.6 S 4 48.9 | 38 16.4 S22 54.3 | 197 16.3 N20 30.9
16 | 328 35.6 | 52 57.2 S23 38.5 | 132 41.8 S 4 49.4 | 53 18.3 S22 54.2 | 212 18.9 N20 30.9
17 | 343 38.1 | 67 56.2 S23 38.5 | 147 43.0 S 4 49.9 | 68 20.2 S22 54.2 | 227 21.6 N20 30.9
18 | 358 40.5 | 82 55.3 S23 38.5 | 162 44.2 S 4 50.4 | 83 22.0 S22 54.2 | 242 24.2 N20 31.0
19 | 13 43.0 | 97 54.3 S23 38.5 | 177 45.4 S 4 50.9 | 98 23.9 S22 54.2 | 257 26.8 N20 31.0
20 | 28 45.5 | 112 53.4 S23 38.4 | 192 46.6 S 4 51.4 | 113 25.7 S22 54.2 | 272 29.5 N20 31.0
21 | 43 47.9 | 127 52.4 S23 38.4 | 207 47.9 S 4 51.9 | 128 27.6 S22 54.2 | 287 32.1 N20 31.1
22 | 58 50.4 | 142 51.4 S23 38.4 | 222 49.1 S 4 52.4 | 143 29.4 S22 54.1 | 302 34.8 N20 31.1
23 | 73 52.8 | 157 50.5 S23 38.3 | 237 50.3 S 4 52.9 | 158 31.3 S22 54.1 | 317 37.4 N20 31.1
------+----------+-------------------+-------------------+-------------------+--------------------
20 0 | 88 55.3 | 172 49.5 S23 38.3 | 252 51.5 S 4 53.3 | 173 33.1 S22 54.1 | 332 40.1 N20 31.2
1 | 103 57.8 | 187 48.5 S23 38.3 | 267 52.7 S 4 53.8 | 188 35.0 S22 54.1 | 347 42.7 N20 31.2
2 | 119 00.2 | 202 47.6 S23 38.2 | 282 53.9 S 4 54.3 | 203 36.8 S22 54.1 | 2 45.4 N20 31.2
3 | 134 02.7 | 217 46.6 S23 38.2 | 297 55.2 S 4 54.8 | 218 38.7 S22 54.1 | 17 48.0 N20 31.2
4 | 149 05.2 | 232 45.7 S23 38.1 | 312 56.4 S 4 55.3 | 233 40.5 S22 54.0 | 32 50.6 N20 31.3
S 5 | 164 07.6 | 247 44.7 S23 38.1 | 327 57.6 S 4 55.8 | 248 42.4 S22 54.0 | 47 53.3 N20 31.3
U
N 6 | 179 10.1 | 262 43.7 S23 38.1 | 342 58.8 S 4 56.3 | 263 44.3 S22 54.0 | 62 55.9 N20 31.3
D 7 | 194 12.6 | 277 42.8 S23 38.0 | 358 00.0 S 4 56.8 | 278 46.1 S22 54.0 | 77 58.6 N20 31.4
A 8 | 209 15.0 | 292 41.8 S23 38.0 | 13 01.2 S 4 57.3 | 293 48.0 S22 54.0 | 93 01.2 N20 31.4
Y 9 | 224 17.5 | 307 40.8 S23 37.9 | 28 02.5 S 4 57.8 | 308 49.8 S22 53.9 | 108 03.9 N20 31.4
10 | 239 19.9 | 322 39.9 S23 37.9 | 43 03.7 S 4 58.3 | 323 51.7 S22 53.9 | 123 06.5 N20 31.5
11 | 254 22.4 | 337 38.9 S23 37.8 | 58 04.9 S 4 58.8 | 338 53.5 S22 53.9 | 138 09.2 N20 31.5
12 | 269 24.9 | 352 38.0 S23 37.8 | 73 06.1 S 4 59.3 | 353 55.4 S22 53.9 | 153 11.8 N20 31.5
13 | 284 27.3 | 7 37.0 S23 37.7 | 88 07.3 S 4 59.7 | 8 57.2 S22 53.9 | 168 14.5 N20 31.6
14 | 299 29.8 | 22 36.0 S23 37.7 | 103 08.6 S 5 00.2 | 23 59.1 S22 53.9 | 183 17.1 N20 31.6
15 | 314 32.3 | 37 35.1 S23 37.6 | 118 09.8 S 5 00.7 | 39 00.9 S22 53.8 | 198 19.7 N20 31.6
16 | 329 34.7 | 52 34.1 S23 37.6 | 133 11.0 S 5 01.2 | 54 02.8 S22 53.8 | 213 22.4 N20 31.7
17 | 344 37.2 | 67 33.2 S23 37.5 | 148 12.2 S 5 01.7 | 69 04.6 S22 53.8 | 228 25.0 N20 31.7
18 | 359 39.7 | 82 32.2 S23 37.5 | 163 13.4 S 5 02.2 | 84 06.5 S22 53.8 | 243 27.7 N20 31.7
19 | 14 42.1 | 97 31.2 S23 37.4 | 178 14.6 S 5 02.7 | 99 08.3 S22 53.8 | 258 30.3 N20 31.8
20 | 29 44.6 | 112 30.3 S23 37.4 | 193 15.9 S 5 03.2 | 114 10.2 S22 53.8 | 273 33.0 N20 31.8
21 | 44 47.1 | 127 29.3 S23 37.3 | 208 17.1 S 5 03.7 | 129 12.0 S22 53.7 | 288 35.6 N20 31.8
22 | 59 49.5 | 142 28.3 S23 37.2 | 223 18.3 S 5 04.2 | 144 13.9 S22 53.7 | 303 38.3 N20 31.9
23 | 74 52.0 | 157 27.4 S23 37.2 | 238 19.5 S 5 04.6 | 159 15.8 S22 53.7 | 318 40.9 N20 31.9
------+----------+-------------------+-------------------+-------------------+--------------------
21 0 | 89 54.4 | 172 26.4 S23 37.1 | 253 20.7 S 5 05.1 | 174 17.6 S22 53.7 | 333 43.6 N20 31.9
1 | 104 56.9 | 187 25.5 S23 37.0 | 268 22.0 S 5 05.6 | 189 19.5 S22 53.7 | 348 46.2 N20 32.0
2 | 119 59.4 | 202 24.5 S23 37.0 | 283 23.2 S 5 06.1 | 204 21.3 S22 53.6 | 3 48.9 N20 32.0
3 | 135 01.8 | 217 23.5 S23 36.9 | 298 24.4 S 5 06.6 | 219 23.2 S22 53.6 | 18 51.5 N20 32.0
4 | 150 04.3 | 232 22.6 S23 36.8 | 313 25.6 S 5 07.1 | 234 25.0 S22 53.6 | 33 54.2 N20 32.1
M 5 | 165 06.8 | 247 21.6 S23 36.8 | 328 26.9 S 5 07.6 | 249 26.9 S22 53.6 | 48 56.8 N20 32.1
O
N 6 | 180 09.2 | 262 20.6 S23 36.7 | 343 28.1 S 5 08.1 | 264 28.7 S22 53.6 | 63 59.5 N20 32.2
D 7 | 195 11.7 | 277 19.7 S23 36.6 | 358 29.3 S 5 08.6 | 279 30.6 S22 53.6 | 79 02.1 N20 32.2
A 8 | 210 14.2 | 292 18.7 S23 36.5 | 13 30.5 S 5 09.1 | 294 32.4 S22 53.5 | 94 04.8 N20 32.2
Y 9 | 225 16.6 | 307 17.8 S23 36.5 | 28 31.7 S 5 09.5 | 309 34.3 S22 53.5 | 109 07.4 N20 32.3
10 | 240 19.1 | 322 16.8 S23 36.4 | 43 33.0 S 5 10.0 | 324 36.1 S22 53.5 | 124 10.0 N20 32.3
11 | 255 21.6 | 337 15.8 S23 36.3 | 58 34.2 S 5 10.5 | 339 38.0 S22 53.5 | 139 12.7 N20 32.3
12 | 270 24.0 | 352 14.9 S23 36.2 | 73 35.4 S 5 11.0 | 354 39.8 S22 53.5 | 154 15.3 N20 32.4
13 | 285 26.5 | 7 13.9 S23 36.1 | 88 36.6 S 5 11.5 | 9 41.7 S22 53.4 | 169 18.0 N20 32.4
14 | 300 28.9 | 22 13.0 S23 36.1 | 103 37.9 S 5 12.0 | 24 43.5 S22 53.4 | 184 20.6 N20 32.4
15 | 315 31.4 | 37 12.0 S23 36.0 | 118 39.1 S 5 12.5 | 39 45.4 S22 53.4 | 199 23.3 N20 32.5
16 | 330 33.9 | 52 11.0 S23 35.9 | 133 40.3 S 5 13.0 | 54 47.3 S22 53.4 | 214 25.9 N20 32.5
17 | 345 36.3 | 67 10.1 S23 35.8 | 148 41.5 S 5 13.4 | 69 49.1 S22 53.4 | 229 28.6 N20 32.5
18 | 0 38.8 | 82 09.1 S23 35.7 | 163 42.7 S 5 13.9 | 84 51.0 S22 53.3 | 244 31.2 N20 32.6
19 | 15 41.3 | 97 08.2 S23 35.6 | 178 44.0 S 5 14.4 | 99 52.8 S22 53.3 | 259 33.9 N20 32.6
20 | 30 43.7 | 112 07.2 S23 35.5 | 193 45.2 S 5 14.9 | 114 54.7 S22 53.3 | 274 36.5 N20 32.6
21 | 45 46.2 | 127 06.2 S23 35.5 | 208 46.4 S 5 15.4 | 129 56.5 S22 53.3 | 289 39.2 N20 32.7
22 | 60 48.7 | 142 05.3 S23 35.4 | 223 47.6 S 5 15.9 | 144 58.4 S22 53.3 | 304 41.8 N20 32.7
23 | 75 51.1 | 157 04.3 S23 35.3 | 238 48.9 S 5 16.4 | 160 00.2 S22 53.3 | 319 44.5 N20 32.7
------+----------+-------------------+-------------------+-------------------+--------------------
| v -1.0 d 0.0 | v 1.2 d 0.5 | v 1.9 d 0.0 | v 2.6 d 0.0
3181 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 18.3 S23 15.1 | 295 48.8 16.1 N 8 48.7 12.7 54.5 | Acamar 304 05.4 S35 37.8
1 | 196 18.1 S23 15.2 | 310 23.9 16.1 N 8 36.0 12.7 54.5 | Achernar 324 27.1 S51 17.2
2 | 211 17.8 S23 15.2 | 324 59.0 16.1 N 8 23.3 12.7 54.5 | Acrux 156 38.9 S69 36.2
3 | 226 17.5 S23 15.3 | 339 34.1 16.1 N 8 10.5 12.8 54.5 | Adhara 243 35.2 S30 37.2
4 | 241 17.2 S23 15.3 | 354 09.2 16.1 N 7 57.7 12.8 54.5 | Albireo 55 16.6 N30 28.5
S 5 | 256 16.9 S23 15.4 | 8 44.4 16.1 N 7 44.8 12.9 54.6 |
A | | | Aldebaran 273 55.7 N18 48.4
T 6 | 271 16.6 S23 15.5 | 23 19.5 16.2 N 7 31.9 12.9 54.6 | Alioth 153 25.6 N49 35.0
U 7 | 286 16.3 S23 15.5 | 37 54.7 16.2 N 7 19.0 12.9 54.6 | Alkaid 141 21.8 N43 27.7
R 8 | 301 16.0 S23 15.6 | 52 29.9 16.2 N 7 06.0 13.0 54.6 | Al Na-ir 9 19.4 S41 14.1
D 9 | 316 15.8 S23 15.6 | 67 05.1 16.2 N 6 53.0 13.0 54.6 | Alnilam 260 49.3 S 0 30.8
A 10 | 331 15.5 S23 15.7 | 81 40.3 16.2 N 6 40.0 13.0 54.6 |
Y 11 | 346 15.2 S23 15.7 | 96 15.5 16.2 N 6 27.0 13.1 54.7 | Alphard 203 27.7 S13 47.7
| | | Alphecca 113 41.3 N22 47.8
12 | 1 14.9 S23 15.8 | 110 50.7 16.2 N 6 13.9 13.1 54.7 | Alpheratz 342 28.2 N35 35.1
13 | 16 14.6 S23 15.8 | 125 25.9 16.2 N 6 00.7 13.1 54.7 | Altair 47 46.7 N12 01.8
14 | 31 14.3 S23 15.9 | 140 01.1 16.2 N 5 47.6 13.2 54.7 | Ankaa 338 45.2 S35 56.0
15 | 46 14.0 S23 15.9 | 154 36.4 16.2 N 5 34.4 13.2 54.7 |
16 | 61 13.7 S23 16.0 | 169 11.6 16.2 N 5 21.2 13.2 54.8 | Antares 94 24.1 S28 58.3
17 | 76 13.4 S23 16.0 | 183 46.8 16.2 N 5 07.9 13.2 54.8 | Arcturus 132 29.0 N13 05.1
| | | Atria 76 20.6 S71 03.9
18 | 91 13.1 S23 16.0 | 198 22.0 16.2 N 4 54.7 13.3 54.8 | Avior 228 09.6 S63 18.8
19 | 106 12.9 S23 16.1 | 212 57.3 16.2 N 4 41.4 13.3 54.8 | Bellatrix 262 44.4 N 7 20.9
20 | 121 12.6 S23 16.1 | 227 32.5 16.2 N 4 28.1 13.3 54.8 |
21 | 136 12.3 S23 16.2 | 242 07.7 16.2 N 4 14.7 13.4 54.9 | Betelgeuse 255 05.1 N 7 33.6
22 | 151 12.0 S23 16.2 | 256 43.0 16.2 N 4 01.3 13.4 54.9 | Canopus 257 16.7 S53 22.0
23 | 166 11.7 S23 16.3 | 271 18.2 16.2 N 3 47.9 13.4 54.9 | Capella 258 52.3 N47 06.2
------+-------------------+----------------------------------| Castor 227 25.1 N29 14.4
20 0 | 181 11.4 S23 16.3 | 285 53.4 16.2 N 3 34.5 13.4 54.9 | Deneb 39 25.9 N49 31.1
1 | 196 11.1 S23 16.3 | 300 28.6 16.2 N 3 21.0 13.4 54.9 |
2 | 211 10.8 S23 16.4 | 315 03.8 16.2 N 3 07.6 13.5 55.0 | Denebola 167 33.8 N 7 59.5
3 | 226 10.5 S23 16.4 | 329 39.0 16.2 N 2 54.1 13.5 55.0 | Diphda 334 09.9 S11 32.7
4 | 241 10.2 S23 16.4 | 344 14.1 16.2 N 2 40.6 13.5 55.0 | Dubhe 175 54.1 N55 22.4
S 5 | 256 10.0 S23 16.5 | 358 49.3 16.2 N 2 27.0 13.5 55.0 | Elnath 259 37.5 N29 31.3
U | | | Eltanin 83 50.1 N51 22.7
N 6 | 271 09.7 S23 16.5 | 13 24.5 16.2 N 2 13.5 13.6 55.1 |
D 7 | 286 09.4 S23 16.6 | 27 59.6 16.1 N 1 59.9 13.6 55.1 | Enif 19 19.6 N15 18.1
A 8 | 301 09.1 S23 16.6 | 42 34.7 16.1 N 1 46.3 13.6 55.1 | Fomalhaut 359 11.9 S23 22.5
Y 9 | 316 08.8 S23 16.6 | 57 09.8 16.1 N 1 32.7 13.6 55.1 | Gacrux 155 35.2 S63 41.1
10 | 331 08.5 S23 16.7 | 71 44.9 16.1 N 1 19.0 13.6 55.2 | Gienah 160 42.6 S24 04.0
11 | 346 08.2 S23 16.7 | 86 20.0 16.1 N 1 05.4 13.6 55.2 | Hadar 127 55.2 S65 59.9
| | |
12 | 1 07.9 S23 16.7 | 100 55.0 16.1 N 0 51.7 13.7 55.2 | Hamal 311 23.3 N28 59.3
13 | 16 07.6 S23 16.7 | 115 30.1 16.0 N 0 38.1 13.7 55.2 | Kaus Austr. 64 15.8 S33 45.1
14 | 31 07.3 S23 16.8 | 130 05.1 16.0 N 0 24.4 13.7 55.3 | Kochab 137 46.7 N69 20.3
15 | 46 07.1 S23 16.8 | 144 40.1 16.0 N 0 10.6 13.7 55.3 | Markab 358 57.7 N21 33.0
16 | 61 06.8 S23 16.8 | 159 15.0 16.0 S 0 03.1 13.7 55.3 | Menkar 298 50.5 N 8 39.4
17 | 76 06.5 S23 16.9 | 173 50.0 15.9 S 0 16.8 13.7 55.3 |
| | | Menkent 130 46.1 S42 07.1
18 | 91 06.2 S23 16.9 | 188 24.9 15.9 S 0 30.6 13.7 55.4 | Miaplacidus 218 21.2 S74 34.0
19 | 106 05.9 S23 16.9 | 202 59.7 15.9 S 0 44.3 13.8 55.4 | Mirfak 287 37.0 N53 58.9
20 | 121 05.6 S23 16.9 | 217 34.6 15.9 S 0 58.1 13.8 55.4 | Nunki 57 47.1 S24 45.8
21 | 136 05.3 S23 17.0 | 232 09.4 15.8 S 1 11.9 13.8 55.4 | Peacock 30 16.6 S52 53.6
22 | 151 05.0 S23 17.0 | 246 44.2 15.8 S 1 25.6 13.8 55.5 |
23 | 166 04.7 S23 17.0 | 261 19.0 15.8 S 1 39.4 13.8 55.5 | Polaris 24 24.5 N94 33.0
------+-------------------+----------------------------------| Pollux 225 30.9 N25 07.0
21 0 | 181 04.4 S23 17.0 | 275 53.7 15.7 S 1 53.2 13.8 55.5 | Procyon 229 36.1 N 2 08.9
1 | 196 04.1 S23 17.0 | 290 28.4 15.7 S 2 07.0 13.8 55.6 | Rasalhague 82 25.7 N11 45.6
2 | 211 03.8 S23 17.1 | 305 03.0 15.6 S 2 20.9 13.8 55.6 | Regulus 192 04.7 N 6 11.2
3 | 226 03.6 S23 17.1 | 319 37.6 15.6 S 2 34.7 13.8 55.6 |
4 | 241 03.3 S23 17.1 | 334 12.2 15.6 S 2 48.5 13.8 55.6 | Rigel 267 01.8 S 6 54.1
M 5 | 256 03.0 S23 17.1 | 348 46.7 15.5 S 3 02.3 13.8 55.7 | Rigil Kent 119 47.6 S65 38.1
O | | | Sabik 85 20.6 S17 06.7
N 6 | 271 02.7 S23 17.1 | 3 21.2 15.5 S 3 16.2 13.8 55.7 | Schedar 332 51.6 N62 58.8
D 7 | 286 02.4 S23 17.1 | 17 55.7 15.4 S 3 30.0 13.8 55.7 | Shaula 76 25.8 S37 52.8
A 8 | 301 02.1 S23 17.2 | 32 30.1 15.4 S 3 43.8 13.8 55.8 |
Y 9 | 316 01.8 S23 17.2 | 47 04.4 15.4 S 3 57.7 13.8 55.8 | Sirius 245 34.0 S18 23.1
10 | 331 01.5 S23 17.2 | 61 38.7 15.3 S 4 11.5 13.8 55.8 | Spica 142 59.7 S17 16.5
11 | 346 01.2 S23 17.2 | 76 13.0 15.3 S 4 25.3 13.8 55.9 | Suhail 211 58.6 S48 12.6
| | | Vega 70 37.6 N39 55.2
12 | 1 00.9 S23 17.2 | 90 47.2 15.2 S 4 39.1 13.8 55.9 | Zuben-ubi 121 17.0 S20 53.0
13 | 16 00.6 S23 17.2 | 105 21.4 15.2 S 4 53.0 13.8 55.9 |
14 | 31 00.3 S23 17.2 | 119 55.5 15.1 S 5 06.8 13.8 55.9 |
15 | 46 00.0 S23 17.2 | 134 29.6 15.1 S 5 20.6 13.8 56.0 |
16 | 60 59.8 S23 17.2 | 149 03.6 15.0 S 5 34.4 13.8 56.0 |
17 | 75 59.5 S23 17.2 | 163 37.5 14.9 S 5 48.2 13.8 56.0 |
| | |
18 | 90 59.2 S23 17.3 | 178 11.4 14.9 S 6 02.0 13.8 56.1 |
19 | 105 58.9 S23 17.3 | 192 45.2 14.8 S 6 15.8 13.8 56.1 |
20 | 120 58.6 S23 17.3 | 207 19.0 14.8 S 6 29.6 13.8 56.1 |
21 | 135 58.3 S23 17.3 | 221 52.7 14.7 S 6 43.3 13.8 56.2 |
22 | 150 58.0 S23 17.3 | 236 26.4 14.7 S 6 57.1 13.8 56.2 |
23 | 165 57.7 S23 17.3 | 250 60.0 14.6 S 7 10.8 13.7 56.2 |
------+-------------------+----------------------------------|
|S.D. 16.2 d 0.0 | S.D. 14.9 15.0 15.2 |