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3244 DEC. 19, 20, 21 (MON, TUE, WED)
------+----------+-------------------+-------------------+-------------------+--------------------
| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
19 0 | 88 40.1 | 143 03.7 S21 20.1 | 138 52.2 S19 36.4 | 65 52.5 N 8 00.4 | 274 07.6 N 4 10.1
1 | 103 42.6 | 158 05.5 S21 19.6 | 153 52.7 S19 35.9 | 80 55.0 N 8 00.5 | 289 10.0 N 4 10.1
2 | 118 45.1 | 173 07.3 S21 19.0 | 168 53.2 S19 35.5 | 95 57.5 N 8 00.5 | 304 12.4 N 4 10.1
3 | 133 47.5 | 188 09.1 S21 18.5 | 183 53.7 S19 35.0 | 110 59.9 N 8 00.5 | 319 14.8 N 4 10.1
4 | 148 50.0 | 203 10.9 S21 18.0 | 198 54.2 S19 34.5 | 126 02.4 N 8 00.5 | 334 17.2 N 4 10.0
M 5 | 163 52.5 | 218 12.7 S21 17.4 | 213 54.6 S19 34.0 | 141 04.9 N 8 00.5 | 349 19.6 N 4 10.0
O
N 6 | 178 54.9 | 233 14.6 S21 16.9 | 228 55.1 S19 33.5 | 156 07.3 N 8 00.5 | 4 22.0 N 4 10.0
D 7 | 193 57.4 | 248 16.4 S21 16.4 | 243 55.6 S19 33.0 | 171 09.8 N 8 00.5 | 19 24.4 N 4 10.0
A 8 | 208 59.8 | 263 18.2 S21 15.9 | 258 56.1 S19 32.5 | 186 12.2 N 8 00.6 | 34 26.8 N 4 10.0
Y 9 | 224 02.3 | 278 20.1 S21 15.3 | 273 56.6 S19 32.0 | 201 14.7 N 8 00.6 | 49 29.2 N 4 10.0
10 | 239 04.8 | 293 21.9 S21 14.8 | 288 57.1 S19 31.5 | 216 17.2 N 8 00.6 | 64 31.6 N 4 09.9
11 | 254 07.2 | 308 23.8 S21 14.3 | 303 57.6 S19 31.0 | 231 19.6 N 8 00.6 | 79 34.0 N 4 09.9
12 | 269 09.7 | 323 25.6 S21 13.8 | 318 58.1 S19 30.5 | 246 22.1 N 8 00.6 | 94 36.4 N 4 09.9
13 | 284 12.2 | 338 27.5 S21 13.2 | 333 58.6 S19 30.0 | 261 24.5 N 8 00.6 | 109 38.8 N 4 09.9
14 | 299 14.6 | 353 29.3 S21 12.7 | 348 59.1 S19 29.5 | 276 27.0 N 8 00.6 | 124 41.2 N 4 09.9
15 | 314 17.1 | 8 31.2 S21 12.2 | 3 59.6 S19 29.0 | 291 29.4 N 8 00.7 | 139 43.6 N 4 09.9
16 | 329 19.6 | 23 33.1 S21 11.6 | 19 00.1 S19 28.5 | 306 31.9 N 8 00.7 | 154 46.0 N 4 09.8
17 | 344 22.0 | 38 35.0 S21 11.1 | 34 00.6 S19 28.0 | 321 34.4 N 8 00.7 | 169 48.4 N 4 09.8
18 | 359 24.5 | 53 36.8 S21 10.6 | 49 01.1 S19 27.5 | 336 36.8 N 8 00.7 | 184 50.8 N 4 09.8
19 | 14 27.0 | 68 38.7 S21 10.1 | 64 01.6 S19 27.0 | 351 39.3 N 8 00.7 | 199 53.2 N 4 09.8
20 | 29 29.4 | 83 40.6 S21 09.5 | 79 02.1 S19 26.5 | 6 41.7 N 8 00.7 | 214 55.6 N 4 09.8
21 | 44 31.9 | 98 42.5 S21 09.0 | 94 02.6 S19 26.0 | 21 44.2 N 8 00.8 | 229 58.0 N 4 09.8
22 | 59 34.3 | 113 44.4 S21 08.5 | 109 03.1 S19 25.4 | 36 46.6 N 8 00.8 | 245 00.4 N 4 09.8
23 | 74 36.8 | 128 46.3 S21 07.9 | 124 03.6 S19 24.9 | 51 49.1 N 8 00.8 | 260 02.8 N 4 09.7
------+----------+-------------------+-------------------+-------------------+--------------------
20 0 | 89 39.3 | 143 48.2 S21 07.4 | 139 04.1 S19 24.4 | 66 51.5 N 8 00.8 | 275 05.2 N 4 09.7
1 | 104 41.7 | 158 50.1 S21 06.9 | 154 04.6 S19 23.9 | 81 54.0 N 8 00.8 | 290 07.6 N 4 09.7
2 | 119 44.2 | 173 52.0 S21 06.4 | 169 05.0 S19 23.4 | 96 56.5 N 8 00.8 | 305 10.0 N 4 09.7
3 | 134 46.7 | 188 53.9 S21 05.8 | 184 05.5 S19 22.9 | 111 58.9 N 8 00.9 | 320 12.4 N 4 09.7
4 | 149 49.1 | 203 55.8 S21 05.3 | 199 06.0 S19 22.4 | 127 01.4 N 8 00.9 | 335 14.8 N 4 09.7
T 5 | 164 51.6 | 218 57.7 S21 04.8 | 214 06.5 S19 21.9 | 142 03.8 N 8 00.9 | 350 17.2 N 4 09.6
U
E 6 | 179 54.1 | 233 59.7 S21 04.3 | 229 07.0 S19 21.4 | 157 06.3 N 8 00.9 | 5 19.6 N 4 09.6
S 7 | 194 56.5 | 249 01.6 S21 03.7 | 244 07.5 S19 20.9 | 172 08.7 N 8 00.9 | 20 22.0 N 4 09.6
D 8 | 209 59.0 | 264 03.5 S21 03.2 | 259 08.0 S19 20.4 | 187 11.2 N 8 00.9 | 35 24.4 N 4 09.6
A 9 | 225 01.5 | 279 05.5 S21 02.7 | 274 08.5 S19 19.9 | 202 13.6 N 8 01.0 | 50 26.8 N 4 09.6
Y 10 | 240 03.9 | 294 07.4 S21 02.2 | 289 09.0 S19 19.4 | 217 16.1 N 8 01.0 | 65 29.2 N 4 09.6
11 | 255 06.4 | 309 09.3 S21 01.6 | 304 09.5 S19 18.9 | 232 18.5 N 8 01.0 | 80 31.6 N 4 09.6
12 | 270 08.8 | 324 11.3 S21 01.1 | 319 10.0 S19 18.4 | 247 21.0 N 8 01.0 | 95 34.1 N 4 09.5
13 | 285 11.3 | 339 13.2 S21 00.6 | 334 10.5 S19 17.9 | 262 23.4 N 8 01.0 | 110 36.5 N 4 09.5
14 | 300 13.8 | 354 15.2 S21 00.1 | 349 11.0 S19 17.3 | 277 25.9 N 8 01.1 | 125 38.9 N 4 09.5
15 | 315 16.2 | 9 17.2 S20 59.5 | 4 11.5 S19 16.8 | 292 28.3 N 8 01.1 | 140 41.3 N 4 09.5
16 | 330 18.7 | 24 19.1 S20 59.0 | 19 12.0 S19 16.3 | 307 30.8 N 8 01.1 | 155 43.7 N 4 09.5
17 | 345 21.2 | 39 21.1 S20 58.5 | 34 12.5 S19 15.8 | 322 33.2 N 8 01.1 | 170 46.1 N 4 09.5
18 | 0 23.6 | 54 23.1 S20 57.9 | 49 13.0 S19 15.3 | 337 35.7 N 8 01.1 | 185 48.5 N 4 09.5
19 | 15 26.1 | 69 25.0 S20 57.4 | 64 13.5 S19 14.8 | 352 38.1 N 8 01.2 | 200 50.9 N 4 09.5
20 | 30 28.6 | 84 27.0 S20 56.9 | 79 14.0 S19 14.3 | 7 40.6 N 8 01.2 | 215 53.3 N 4 09.4
21 | 45 31.0 | 99 29.0 S20 56.4 | 94 14.5 S19 13.8 | 22 43.0 N 8 01.2 | 230 55.7 N 4 09.4
22 | 60 33.5 | 114 31.0 S20 55.8 | 109 15.0 S19 13.3 | 37 45.5 N 8 01.2 | 245 58.1 N 4 09.4
23 | 75 35.9 | 129 33.0 S20 55.3 | 124 15.5 S19 12.7 | 52 47.9 N 8 01.2 | 261 00.5 N 4 09.4
------+----------+-------------------+-------------------+-------------------+--------------------
21 0 | 90 38.4 | 144 35.0 S20 54.8 | 139 16.0 S19 12.2 | 67 50.4 N 8 01.2 | 276 02.9 N 4 09.4
1 | 105 40.9 | 159 37.0 S20 54.3 | 154 16.5 S19 11.7 | 82 52.8 N 8 01.3 | 291 05.3 N 4 09.4
2 | 120 43.3 | 174 39.0 S20 53.7 | 169 17.0 S19 11.2 | 97 55.2 N 8 01.3 | 306 07.7 N 4 09.4
3 | 135 45.8 | 189 41.0 S20 53.2 | 184 17.5 S19 10.7 | 112 57.7 N 8 01.3 | 321 10.1 N 4 09.3
4 | 150 48.3 | 204 43.0 S20 52.7 | 199 18.0 S19 10.2 | 128 00.1 N 8 01.3 | 336 12.5 N 4 09.3
W 5 | 165 50.7 | 219 45.0 S20 52.2 | 214 18.5 S19 09.7 | 143 02.6 N 8 01.3 | 351 15.0 N 4 09.3
E
D 6 | 180 53.2 | 234 47.1 S20 51.6 | 229 19.0 S19 09.1 | 158 05.0 N 8 01.4 | 6 17.4 N 4 09.3
N 7 | 195 55.7 | 249 49.1 S20 51.1 | 244 19.5 S19 08.6 | 173 07.5 N 8 01.4 | 21 19.8 N 4 09.3
E 8 | 210 58.1 | 264 51.1 S20 50.6 | 259 20.0 S19 08.1 | 188 09.9 N 8 01.4 | 36 22.2 N 4 09.3
S 9 | 226 00.6 | 279 53.1 S20 50.1 | 274 20.5 S19 07.6 | 203 12.4 N 8 01.4 | 51 24.6 N 4 09.3
D 10 | 241 03.1 | 294 55.2 S20 49.6 | 289 21.0 S19 07.1 | 218 14.8 N 8 01.5 | 66 27.0 N 4 09.3
A 11 | 256 05.5 | 309 57.2 S20 49.0 | 304 21.5 S19 06.6 | 233 17.2 N 8 01.5 | 81 29.4 N 4 09.2
Y
12 | 271 08.0 | 324 59.3 S20 48.5 | 319 22.0 S19 06.0 | 248 19.7 N 8 01.5 | 96 31.8 N 4 09.2
13 | 286 10.4 | 340 01.3 S20 48.0 | 334 22.5 S19 05.5 | 263 22.1 N 8 01.5 | 111 34.2 N 4 09.2
14 | 301 12.9 | 355 03.4 S20 47.5 | 349 23.0 S19 05.0 | 278 24.6 N 8 01.5 | 126 36.6 N 4 09.2
15 | 316 15.4 | 10 05.4 S20 46.9 | 4 23.5 S19 04.5 | 293 27.0 N 8 01.6 | 141 39.0 N 4 09.2
16 | 331 17.8 | 25 07.5 S20 46.4 | 19 24.0 S19 04.0 | 308 29.5 N 8 01.6 | 156 41.4 N 4 09.2
17 | 346 20.3 | 40 09.6 S20 45.9 | 34 24.5 S19 03.5 | 323 31.9 N 8 01.6 | 171 43.9 N 4 09.2
18 | 1 22.8 | 55 11.6 S20 45.4 | 49 25.0 S19 02.9 | 338 34.3 N 8 01.6 | 186 46.3 N 4 09.2
19 | 16 25.2 | 70 13.7 S20 44.8 | 64 25.5 S19 02.4 | 353 36.8 N 8 01.7 | 201 48.7 N 4 09.2
20 | 31 27.7 | 85 15.8 S20 44.3 | 79 26.0 S19 01.9 | 8 39.2 N 8 01.7 | 216 51.1 N 4 09.1
21 | 46 30.2 | 100 17.9 S20 43.8 | 94 26.5 S19 01.4 | 23 41.7 N 8 01.7 | 231 53.5 N 4 09.1
22 | 61 32.6 | 115 20.0 S20 43.3 | 109 27.0 S19 00.9 | 38 44.1 N 8 01.7 | 246 55.9 N 4 09.1
23 | 76 35.1 | 130 22.0 S20 42.8 | 124 27.5 S19 00.3 | 53 46.5 N 8 01.7 | 261 58.3 N 4 09.1
------+----------+-------------------+-------------------+-------------------+--------------------
| v 2.0 d 0.5 | v 0.5 d 0.5 | v 2.5 d 0.0 | v 2.4 d 0.0
3244 DEC. 19, 20, 21 (MON, TUE, WED)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
19 0 | 181 14.6 S23 15.3 | 217 52.8 10.5 S13 41.8 7.1 57.0 | Acamar 303 29.1 S35 23.2
1 | 196 14.3 S23 15.3 | 232 22.2 10.4 S13 48.9 7.1 57.0 | Achernar 323 51.7 S50 58.4
2 | 211 14.0 S23 15.4 | 246 51.5 10.3 S13 55.9 7.0 57.0 | Acrux 155 45.0 S69 56.8
3 | 226 13.7 S23 15.4 | 261 20.8 10.3 S14 02.8 6.9 57.1 | Adhara 242 57.4 S30 42.6
4 | 241 13.4 S23 15.4 | 275 50.0 10.2 S14 09.6 6.9 57.1 | Albireo 54 37.8 N30 36.7
M 5 | 256 13.1 S23 15.5 | 290 19.1 10.1 S14 16.4 6.8 57.1 |
O | | | Aldebaran 273 01.0 N18 55.5
N 6 | 271 12.9 S23 15.5 | 304 48.1 10.0 S14 23.1 6.7 57.2 | Alioth 152 44.0 N49 15.0
D 7 | 286 12.6 S23 15.6 | 319 17.1 10.0 S14 29.8 6.6 57.2 | Alkaid 140 44.3 N43 09.3
A 8 | 301 12.3 S23 15.6 | 333 45.9 9.9 S14 36.4 6.6 57.2 | Al Na-ir 8 20.1 S40 55.9
Y 9 | 316 12.0 S23 15.6 | 348 14.8 9.8 S14 42.9 6.5 57.3 | Alnilam 260 00.9 S 0 28.9
10 | 331 11.7 S23 15.7 | 2 43.5 9.7 S14 49.3 6.4 57.3 |
11 | 346 11.4 S23 15.7 | 17 12.2 9.7 S14 55.7 6.4 57.3 | Alphard 202 40.8 S14 04.1
| | | Alphecca 113 00.7 N22 35.6
12 | 1 11.1 S23 15.8 | 31 40.8 9.6 S15 01.9 6.3 57.4 | Alpheratz 341 38.6 N35 55.6
13 | 16 10.8 S23 15.8 | 46 09.3 9.5 S15 08.1 6.2 57.4 | Altair 47 00.1 N12 12.0
14 | 31 10.5 S23 15.8 | 60 37.7 9.4 S15 14.3 6.1 57.4 | Ankaa 337 58.4 S35 35.8
15 | 46 10.2 S23 15.9 | 75 06.1 9.4 S15 20.3 6.1 57.5 |
16 | 61 10.0 S23 15.9 | 89 34.4 9.3 S15 26.3 6.0 57.5 | Antares 93 25.7 S29 06.2
17 | 76 09.7 S23 15.9 | 104 02.6 9.2 S15 32.2 5.9 57.5 | Arcturus 131 45.4 N12 45.9
| | | Atria 74 40.1 S71 10.1
18 | 91 09.4 S23 16.0 | 118 30.8 9.2 S15 38.0 5.8 57.6 | Avior 227 49.1 S63 31.0
19 | 106 09.1 S23 16.0 | 132 58.8 9.1 S15 43.7 5.7 57.6 | Bellatrix 261 53.3 N 7 23.8
20 | 121 08.8 S23 16.0 | 147 26.8 9.0 S15 49.4 5.6 57.6 |
21 | 136 08.5 S23 16.0 | 161 54.8 8.9 S15 55.0 5.6 57.7 | Betelgeuse 254 13.6 N 7 33.8
22 | 151 08.2 S23 16.1 | 176 22.6 8.9 S16 00.4 5.5 57.7 | Canopus 256 54.8 S53 24.4
23 | 166 07.9 S23 16.1 | 190 50.4 8.8 S16 05.8 5.4 57.7 | Capella 257 42.2 N47 09.5
------+-------------------+----------------------------------| Castor 226 24.6 N29 05.8
20 0 | 181 07.6 S23 16.1 | 205 18.1 8.7 S16 11.1 5.3 57.8 | Deneb 38 52.8 N49 44.7
1 | 196 07.3 S23 16.1 | 219 45.8 8.6 S16 16.4 5.2 57.8 |
2 | 211 07.0 S23 16.2 | 234 13.4 8.6 S16 21.5 5.1 57.8 | Denebola 166 45.3 N 7 38.7
3 | 226 06.8 S23 16.2 | 248 40.9 8.5 S16 26.5 5.0 57.8 | Diphda 333 22.1 S11 12.3
4 | 241 06.5 S23 16.2 | 263 08.3 8.4 S16 31.5 5.0 57.9 | Dubhe 174 56.5 N55 02.2
T 5 | 256 06.2 S23 16.2 | 277 35.7 8.4 S16 36.3 4.9 57.9 | Elnath 258 37.5 N29 34.0
U | | | Eltanin 83 27.3 N51 22.6
E 6 | 271 05.9 S23 16.3 | 292 03.0 8.3 S16 41.1 4.8 57.9 |
S 7 | 286 05.6 S23 16.3 | 306 30.2 8.2 S16 45.8 4.7 58.0 | Enif 18 32.7 N15 35.4
D 8 | 301 05.3 S23 16.3 | 320 57.4 8.2 S16 50.4 4.6 58.0 | Fomalhaut 358 19.6 S23 02.6
A 9 | 316 05.0 S23 16.3 | 335 24.5 8.1 S16 54.8 4.5 58.0 | Gacrux 154 41.6 S64 01.9
Y 10 | 331 04.7 S23 16.3 | 349 51.5 8.0 S16 59.2 4.4 58.1 | Gienah 159 53.4 S24 24.6
11 | 346 04.4 S23 16.4 | 4 18.4 8.0 S17 03.5 4.3 58.1 | Hadar 126 47.4 S66 17.6
| | |
12 | 1 04.1 S23 16.4 | 18 45.3 7.9 S17 07.7 4.2 58.1 | Hamal 310 29.5 N29 16.7
13 | 16 03.8 S23 16.4 | 33 12.2 7.8 S17 11.8 4.1 58.2 | Kaus Austr. 63 12.9 S33 42.9
14 | 31 03.5 S23 16.4 | 47 38.9 7.8 S17 15.8 4.0 58.2 | Kochab 137 48.1 N69 05.3
15 | 46 03.3 S23 16.4 | 62 05.6 7.7 S17 19.7 3.9 58.2 | Markab 358 10.0 N21 53.1
16 | 61 03.0 S23 16.4 | 76 32.3 7.6 S17 23.5 3.8 58.2 | Menkar 298 00.6 N 8 53.7
17 | 76 02.7 S23 16.4 | 90 58.9 7.6 S17 27.2 3.7 58.3 |
| | | Menkent 129 49.7 S42 25.2
18 | 91 02.4 S23 16.5 | 105 25.4 7.5 S17 30.8 3.6 58.3 | Miaplacidus 218 09.5 S74 49.5
19 | 106 02.1 S23 16.5 | 119 51.8 7.5 S17 34.2 3.5 58.3 | Mirfak 286 28.9 N54 11.7
20 | 121 01.8 S23 16.5 | 134 18.2 7.4 S17 37.6 3.4 58.4 | Nunki 56 48.3 S24 40.8
21 | 136 01.5 S23 16.5 | 148 44.6 7.3 S17 40.9 3.3 58.4 | Peacock 29 02.5 S52 41.3
22 | 151 01.2 S23 16.5 | 163 10.8 7.3 S17 44.1 3.2 58.4 |
23 | 166 00.9 S23 16.5 | 177 37.0 7.2 S17 47.1 3.1 58.4 | Polaris 8 27.3 N94 49.6
------+-------------------+----------------------------------| Pollux 224 32.9 N24 57.5
21 0 | 181 00.6 S23 16.5 | 192 03.2 7.2 S17 50.1 3.0 58.5 | Procyon 228 46.3 N 1 59.0
1 | 196 00.3 S23 16.5 | 206 29.3 7.1 S17 52.9 2.8 58.5 | Rasalhague 81 41.3 N11 43.4
2 | 211 00.0 S23 16.5 | 220 55.4 7.1 S17 55.6 2.7 58.5 | Regulus 191 14.1 N 5 52.8
3 | 225 59.8 S23 16.5 | 235 21.4 7.0 S17 58.3 2.6 58.6 |
4 | 240 59.5 S23 16.5 | 249 47.3 6.9 S18 00.8 2.5 58.6 | Rigel 266 15.8 S 6 50.3
W 5 | 255 59.2 S23 16.5 | 264 13.2 6.9 S18 03.2 2.4 58.6 | Rigil Kent 118 42.4 S65 53.2
E | | | Sabik 84 26.0 S17 10.9
D 6 | 270 58.9 S23 16.5 | 278 39.0 6.8 S18 05.5 2.3 58.6 | Schedar 331 56.9 N63 19.1
N 7 | 285 58.6 S23 16.5 | 293 04.8 6.8 S18 07.6 2.2 58.7 | Shaula 75 21.4 S37 55.0
E 8 | 300 58.3 S23 16.5 | 307 30.6 6.7 S18 09.7 2.1 58.7 |
S 9 | 315 58.0 S23 16.5 | 321 56.3 6.7 S18 11.6 1.9 58.7 | Sirius 244 51.8 S18 28.6
D 10 | 330 57.7 S23 16.5 | 336 21.9 6.6 S18 13.5 1.8 58.7 | Spica 142 09.4 S17 35.8
A 11 | 345 57.4 S23 16.5 | 350 47.5 6.6 S18 15.2 1.7 58.8 | Suhail 211 23.0 S48 27.9
Y | | | Vega 70 04.8 N39 59.1
12 | 0 57.1 S23 16.5 | 5 13.1 6.6 S18 16.8 1.6 58.8 | Zuben-ubi 120 25.7 S21 08.1
13 | 15 56.8 S23 16.5 | 19 38.6 6.5 S18 18.3 1.5 58.8 |
14 | 30 56.5 S23 16.5 | 34 04.0 6.5 S18 19.7 1.4 58.9 |
15 | 45 56.2 S23 16.5 | 48 29.5 6.4 S18 20.9 1.3 58.9 |
16 | 60 56.0 S23 16.5 | 62 54.9 6.4 S18 22.0 1.1 58.9 |
17 | 75 55.7 S23 16.5 | 77 20.2 6.3 S18 23.1 1.0 58.9 |
| | |
18 | 90 55.4 S23 16.5 | 91 45.5 6.3 S18 24.0 0.9 59.0 |
19 | 105 55.1 S23 16.5 | 106 10.8 6.3 S18 24.7 0.8 59.0 |
20 | 120 54.8 S23 16.5 | 120 36.0 6.2 S18 25.4 0.7 59.0 |
21 | 135 54.5 S23 16.5 | 135 01.2 6.2 S18 25.9 0.5 59.0 |
22 | 150 54.2 S23 16.5 | 149 26.4 6.2 S18 26.4 0.4 59.0 |
23 | 165 53.9 S23 16.4 | 163 51.6 6.1 S18 26.7 0.3 59.1 |
------+-------------------+----------------------------------|
|S.D. 16.2 d 0.0 | S.D. 15.6 15.8 16.0 |