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2050 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 | 87 47.8 | 228 35.2 S12 11.2 | 90 08.7 S 1 29.4 | 289 46.7 N10 17.5 | 138 50.7 S19 16.8
1 | 102 50.3 | 243 35.3 S12 11.9 | 105 09.7 S 1 28.8 | 304 49.2 N10 17.5 | 153 52.9 S19 16.7
2 | 117 52.7 | 258 35.5 S12 12.5 | 120 10.8 S 1 28.1 | 319 51.6 N10 17.5 | 168 55.1 S19 16.7
3 | 132 55.2 | 273 35.6 S12 13.2 | 135 11.9 S 1 27.4 | 334 54.0 N10 17.5 | 183 57.3 S19 16.6
4 | 147 57.6 | 288 35.7 S12 13.8 | 150 12.9 S 1 26.7 | 349 56.5 N10 17.5 | 198 59.5 S19 16.5
M 5 | 163 00.1 | 303 35.8 S12 14.5 | 165 14.0 S 1 26.0 | 4 58.9 N10 17.5 | 214 01.7 S19 16.5
O
N 6 | 178 02.6 | 318 35.9 S12 15.1 | 180 15.0 S 1 25.3 | 20 01.4 N10 17.5 | 229 03.9 S19 16.4
D 7 | 193 05.0 | 333 36.1 S12 15.7 | 195 16.1 S 1 24.7 | 35 03.8 N10 17.5 | 244 06.1 S19 16.4
A 8 | 208 07.5 | 348 36.2 S12 16.4 | 210 17.2 S 1 24.0 | 50 06.2 N10 17.5 | 259 08.3 S19 16.3
Y 9 | 223 10.0 | 3 36.3 S12 17.0 | 225 18.2 S 1 23.3 | 65 08.7 N10 17.5 | 274 10.5 S19 16.2
10 | 238 12.4 | 18 36.4 S12 17.7 | 240 19.3 S 1 22.6 | 80 11.1 N10 17.6 | 289 12.7 S19 16.2
11 | 253 14.9 | 33 36.5 S12 18.3 | 255 20.3 S 1 21.9 | 95 13.6 N10 17.6 | 304 14.9 S19 16.1
12 | 268 17.4 | 48 36.6 S12 19.0 | 270 21.4 S 1 21.2 | 110 16.0 N10 17.6 | 319 17.1 S19 16.0
13 | 283 19.8 | 63 36.7 S12 19.6 | 285 22.4 S 1 20.5 | 125 18.5 N10 17.6 | 334 19.3 S19 16.0
14 | 298 22.3 | 78 36.8 S12 20.2 | 300 23.5 S 1 19.9 | 140 20.9 N10 17.6 | 349 21.5 S19 15.9
15 | 313 24.8 | 93 36.9 S12 20.9 | 315 24.6 S 1 19.2 | 155 23.4 N10 17.6 | 4 23.7 S19 15.9
16 | 328 27.2 | 108 37.1 S12 21.5 | 330 25.6 S 1 18.5 | 170 25.8 N10 17.6 | 19 25.9 S19 15.8
17 | 343 29.7 | 123 37.2 S12 22.2 | 345 26.7 S 1 17.8 | 185 28.2 N10 17.6 | 34 28.1 S19 15.7
18 | 358 32.1 | 138 37.3 S12 22.8 | 0 27.7 S 1 17.1 | 200 30.7 N10 17.6 | 49 30.3 S19 15.7
19 | 13 34.6 | 153 37.4 S12 23.5 | 15 28.8 S 1 16.4 | 215 33.1 N10 17.6 | 64 32.5 S19 15.6
20 | 28 37.1 | 168 37.5 S12 24.1 | 30 29.8 S 1 15.7 | 230 35.6 N10 17.6 | 79 34.7 S19 15.5
21 | 43 39.5 | 183 37.6 S12 24.8 | 45 30.9 S 1 15.1 | 245 38.0 N10 17.6 | 94 36.9 S19 15.5
22 | 58 42.0 | 198 37.7 S12 25.4 | 60 32.0 S 1 14.4 | 260 40.5 N10 17.6 | 109 39.1 S19 15.4
23 | 73 44.5 | 213 37.8 S12 26.1 | 75 33.0 S 1 13.7 | 275 42.9 N10 17.6 | 124 41.3 S19 15.4
------+----------+-------------------+-------------------+-------------------+--------------------
20 0 | 88 46.9 | 228 37.9 S12 26.7 | 90 34.1 S 1 13.0 | 290 45.4 N10 17.6 | 139 43.5 S19 15.3
1 | 103 49.4 | 243 38.0 S12 27.3 | 105 35.1 S 1 12.3 | 305 47.8 N10 17.6 | 154 45.7 S19 15.2
2 | 118 51.9 | 258 38.1 S12 28.0 | 120 36.2 S 1 11.6 | 320 50.3 N10 17.6 | 169 47.9 S19 15.2
3 | 133 54.3 | 273 38.2 S12 28.6 | 135 37.2 S 1 11.0 | 335 52.7 N10 17.6 | 184 50.1 S19 15.1
4 | 148 56.8 | 288 38.3 S12 29.3 | 150 38.3 S 1 10.3 | 350 55.2 N10 17.6 | 199 52.3 S19 15.0
T 5 | 163 59.2 | 303 38.4 S12 29.9 | 165 39.3 S 1 09.6 | 5 57.6 N10 17.6 | 214 54.5 S19 15.0
U
E 6 | 179 01.7 | 318 38.4 S12 30.6 | 180 40.4 S 1 08.9 | 21 00.1 N10 17.7 | 229 56.7 S19 14.9
S 7 | 194 04.2 | 333 38.5 S12 31.2 | 195 41.5 S 1 08.2 | 36 02.5 N10 17.7 | 244 58.9 S19 14.9
D 8 | 209 06.6 | 348 38.6 S12 31.9 | 210 42.5 S 1 07.5 | 51 05.0 N10 17.7 | 260 01.1 S19 14.8
A 9 | 224 09.1 | 3 38.7 S12 32.5 | 225 43.6 S 1 06.8 | 66 07.4 N10 17.7 | 275 03.3 S19 14.7
Y 10 | 239 11.6 | 18 38.8 S12 33.2 | 240 44.6 S 1 06.2 | 81 09.9 N10 17.7 | 290 05.5 S19 14.7
11 | 254 14.0 | 33 38.9 S12 33.8 | 255 45.7 S 1 05.5 | 96 12.3 N10 17.7 | 305 07.7 S19 14.6
12 | 269 16.5 | 48 39.0 S12 34.5 | 270 46.7 S 1 04.8 | 111 14.8 N10 17.7 | 320 09.9 S19 14.5
13 | 284 19.0 | 63 39.1 S12 35.1 | 285 47.8 S 1 04.1 | 126 17.2 N10 17.7 | 335 12.2 S19 14.5
14 | 299 21.4 | 78 39.2 S12 35.8 | 300 48.8 S 1 03.4 | 141 19.7 N10 17.7 | 350 14.4 S19 14.4
15 | 314 23.9 | 93 39.2 S12 36.4 | 315 49.9 S 1 02.7 | 156 22.1 N10 17.7 | 5 16.6 S19 14.4
16 | 329 26.4 | 108 39.3 S12 37.1 | 330 50.9 S 1 02.0 | 171 24.6 N10 17.7 | 20 18.8 S19 14.3
17 | 344 28.8 | 123 39.4 S12 37.7 | 345 52.0 S 1 01.4 | 186 27.0 N10 17.7 | 35 21.0 S19 14.2
18 | 359 31.3 | 138 39.5 S12 38.4 | 0 53.1 S 1 00.7 | 201 29.5 N10 17.7 | 50 23.2 S19 14.2
19 | 14 33.7 | 153 39.6 S12 39.0 | 15 54.1 S 0 60.0 | 216 31.9 N10 17.7 | 65 25.3 S19 14.1
20 | 29 36.2 | 168 39.6 S12 39.7 | 30 55.2 S 0 59.3 | 231 34.4 N10 17.8 | 80 27.5 S19 14.0
21 | 44 38.7 | 183 39.7 S12 40.3 | 45 56.2 S 0 58.6 | 246 36.9 N10 17.8 | 95 29.7 S19 14.0
22 | 59 41.1 | 198 39.8 S12 41.0 | 60 57.3 S 0 57.9 | 261 39.3 N10 17.8 | 110 31.9 S19 13.9
23 | 74 43.6 | 213 39.9 S12 41.6 | 75 58.3 S 0 57.2 | 276 41.8 N10 17.8 | 125 34.1 S19 13.8
------+----------+-------------------+-------------------+-------------------+--------------------
21 0 | 89 46.1 | 228 39.9 S12 42.3 | 90 59.4 S 0 56.6 | 291 44.2 N10 17.8 | 140 36.3 S19 13.8
1 | 104 48.5 | 243 40.0 S12 42.9 | 106 00.4 S 0 55.9 | 306 46.7 N10 17.8 | 155 38.5 S19 13.7
2 | 119 51.0 | 258 40.1 S12 43.6 | 121 01.5 S 0 55.2 | 321 49.1 N10 17.8 | 170 40.7 S19 13.7
3 | 134 53.5 | 273 40.2 S12 44.2 | 136 02.5 S 0 54.5 | 336 51.6 N10 17.8 | 185 42.9 S19 13.6
4 | 149 55.9 | 288 40.2 S12 44.9 | 151 03.6 S 0 53.8 | 351 54.0 N10 17.8 | 200 45.1 S19 13.5
W 5 | 164 58.4 | 303 40.3 S12 45.5 | 166 04.6 S 0 53.1 | 6 56.5 N10 17.8 | 215 47.3 S19 13.5
E
D 6 | 180 00.8 | 318 40.4 S12 46.2 | 181 05.7 S 0 52.4 | 21 59.0 N10 17.8 | 230 49.5 S19 13.4
N 7 | 195 03.3 | 333 40.4 S12 46.8 | 196 06.7 S 0 51.8 | 37 01.4 N10 17.9 | 245 51.7 S19 13.3
E 8 | 210 05.8 | 348 40.5 S12 47.5 | 211 07.8 S 0 51.1 | 52 03.9 N10 17.9 | 260 53.9 S19 13.3
S 9 | 225 08.2 | 3 40.6 S12 48.1 | 226 08.8 S 0 50.4 | 67 06.3 N10 17.9 | 275 56.1 S19 13.2
D 10 | 240 10.7 | 18 40.6 S12 48.8 | 241 09.9 S 0 49.7 | 82 08.8 N10 17.9 | 290 58.3 S19 13.1
A 11 | 255 13.2 | 33 40.7 S12 49.4 | 256 10.9 S 0 49.0 | 97 11.2 N10 17.9 | 306 00.5 S19 13.1
Y
12 | 270 15.6 | 48 40.8 S12 50.1 | 271 12.0 S 0 48.3 | 112 13.7 N10 17.9 | 321 02.7 S19 13.0
13 | 285 18.1 | 63 40.8 S12 50.7 | 286 13.0 S 0 47.6 | 127 16.2 N10 17.9 | 336 04.9 S19 13.0
14 | 300 20.6 | 78 40.9 S12 51.4 | 301 14.1 S 0 47.0 | 142 18.6 N10 17.9 | 351 07.1 S19 12.9
15 | 315 23.0 | 93 40.9 S12 52.0 | 316 15.1 S 0 46.3 | 157 21.1 N10 17.9 | 6 09.3 S19 12.8
16 | 330 25.5 | 108 41.0 S12 52.7 | 331 16.2 S 0 45.6 | 172 23.5 N10 17.9 | 21 11.5 S19 12.8
17 | 345 28.0 | 123 41.1 S12 53.3 | 346 17.2 S 0 44.9 | 187 26.0 N10 18.0 | 36 13.7 S19 12.7
18 | 0 30.4 | 138 41.1 S12 54.0 | 1 18.3 S 0 44.2 | 202 28.5 N10 18.0 | 51 15.9 S19 12.6
19 | 15 32.9 | 153 41.2 S12 54.6 | 16 19.3 S 0 43.5 | 217 30.9 N10 18.0 | 66 18.1 S19 12.6
20 | 30 35.3 | 168 41.2 S12 55.3 | 31 20.4 S 0 42.8 | 232 33.4 N10 18.0 | 81 20.3 S19 12.5
21 | 45 37.8 | 183 41.3 S12 55.9 | 46 21.4 S 0 42.2 | 247 35.9 N10 18.0 | 96 22.5 S19 12.4
22 | 60 40.3 | 198 41.3 S12 56.6 | 61 22.5 S 0 41.5 | 262 38.3 N10 18.0 | 111 24.7 S19 12.4
23 | 75 42.7 | 213 41.4 S12 57.2 | 76 23.5 S 0 40.8 | 277 40.8 N10 18.0 | 126 26.9 S19 12.3
------+----------+-------------------+-------------------+-------------------+--------------------
| v 0.1 d 0.6 | v 1.1 d 0.7 | v 2.5 d 0.0 | v 2.2 d 0.1
2050 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 | 180 47.1 S23 24.1 | 118 41.6 9.7 S 7 20.6 11.1 59.1 | Acamar 314 56.7 S40 06.3
1 | 195 46.8 S23 24.2 | 133 10.3 9.7 S 7 09.4 11.2 59.1 | Achernar 335 05.6 S56 59.0
2 | 210 46.5 S23 24.2 | 147 39.1 9.8 S 6 58.2 11.2 59.1 | Acrux 172 37.7 S63 22.6
3 | 225 46.1 S23 24.3 | 162 07.9 9.8 S 6 46.9 11.3 59.1 | Adhara 254 50.0 S29 02.7
4 | 240 45.8 S23 24.3 | 176 36.7 9.8 S 6 35.6 11.3 59.1 | Albireo 66 48.5 N28 04.3
M 5 | 255 45.5 S23 24.4 | 191 05.5 9.8 S 6 24.3 11.3 59.1 |
O | | | Aldebaran 290 16.7 N16 36.5
N 6 | 270 45.2 S23 24.4 | 205 34.4 9.9 S 6 12.9 11.4 59.1 | Alioth 165 56.2 N55 40.8
D 7 | 285 44.9 S23 24.5 | 220 03.2 9.9 S 6 01.5 11.4 59.1 | Alkaid 152 37.0 N49 03.4
A 8 | 300 44.6 S23 24.5 | 234 32.1 9.9 S 5 50.1 11.4 59.1 | Al Na-ir 27 08.7 S46 42.9
Y 9 | 315 44.3 S23 24.6 | 249 01.0 9.9 S 5 38.6 11.5 59.2 | Alnilam 275 17.4 S 1 10.4
10 | 330 44.0 S23 24.6 | 263 30.0 9.9 S 5 27.1 11.5 59.2 |
11 | 345 43.7 S23 24.6 | 277 58.9 10.0 S 5 15.5 11.5 59.2 | Alphard 217 28.2 S 8 53.0
| | | Alphecca 125 47.5 N26 32.7
12 | 0 43.4 S23 24.7 | 292 27.9 10.0 S 5 03.9 11.6 59.2 | Alpheratz 357 14.3 N29 22.6
13 | 15 43.1 S23 24.7 | 306 56.9 10.0 S 4 52.3 11.6 59.2 | Altair 61 41.1 N 9 00.5
14 | 30 42.7 S23 24.8 | 321 25.9 10.0 S 4 40.7 11.6 59.2 | Ankaa 352 47.9 S42 02.0
15 | 45 42.4 S23 24.8 | 335 54.9 10.0 S 4 29.0 11.7 59.2 |
16 | 60 42.1 S23 24.9 | 350 23.9 10.0 S 4 17.3 11.7 59.2 | Antares 111 52.0 S26 32.4
17 | 75 41.8 S23 24.9 | 4 53.0 10.0 S 4 05.6 11.7 59.2 | Arcturus 145 30.3 N18 55.0
| | | Atria 106 29.1 S69 06.8
18 | 90 41.5 S23 24.9 | 19 22.0 10.1 S 3 53.9 11.7 59.2 | Avior 234 05.9 S59 40.4
19 | 105 41.2 S23 25.0 | 33 51.1 10.1 S 3 42.1 11.8 59.2 | Bellatrix 278 01.5 N 6 23.5
20 | 120 40.9 S23 25.0 | 48 20.2 10.1 S 3 30.4 11.8 59.2 |
21 | 135 40.6 S23 25.0 | 62 49.3 10.1 S 3 18.6 11.8 59.2 | Betelgeuse 270 30.5 N 7 24.7
22 | 150 40.3 S23 25.1 | 77 18.4 10.1 S 3 06.7 11.8 59.2 | Canopus 263 43.0 S52 43.6
23 | 165 40.0 S23 25.1 | 91 47.6 10.1 S 2 54.9 11.8 59.2 | Capella 279 52.3 N46 02.7
------+-------------------+----------------------------------| Castor 245 31.7 N31 46.2
20 0 | 180 39.7 S23 25.1 | 106 16.7 10.1 S 2 43.1 11.9 59.2 | Deneb 49 12.6 N45 28.1
1 | 195 39.3 S23 25.2 | 120 45.8 10.1 S 2 31.2 11.9 59.2 |
2 | 210 39.0 S23 25.2 | 135 15.0 10.2 S 2 19.3 11.9 59.2 | Denebola 182 05.0 N14 17.1
3 | 225 38.7 S23 25.2 | 149 44.2 10.2 S 2 07.4 11.9 59.2 | Diphda 348 27.6 S17 42.5
4 | 240 38.4 S23 25.3 | 164 13.3 10.2 S 1 55.5 11.9 59.2 | Dubhe 193 17.2 N61 28.1
T 5 | 255 38.1 S23 25.3 | 178 42.5 10.2 S 1 43.6 11.9 59.2 | Elnath 277 36.7 N28 38.7
U | | | Eltanin 90 33.6 N51 29.1
E 6 | 270 37.8 S23 25.3 | 193 11.7 10.2 S 1 31.6 11.9 59.2 |
S 7 | 285 37.5 S23 25.4 | 207 40.9 10.2 S 1 19.7 11.9 59.2 | Enif 33 19.6 N10 06.8
D 8 | 300 37.2 S23 25.4 | 222 10.1 10.2 S 1 07.8 11.9 59.2 | Fomalhaut 14 53.1 S29 21.1
A 9 | 315 36.9 S23 25.4 | 236 39.3 10.2 S 0 55.8 12.0 59.2 | Gacrux 171 29.5 S57 23.7
Y 10 | 330 36.6 S23 25.4 | 251 08.5 10.2 S 0 43.8 12.0 59.2 | Gienah 175 23.3 S17 49.4
11 | 345 36.3 S23 25.5 | 265 37.7 10.2 S 0 31.9 12.0 59.2 | Hadar 148 08.1 S60 36.8
| | |
12 | 0 35.9 S23 25.5 | 280 06.9 10.2 S 0 19.9 12.0 59.2 | Hamal 327 28.7 N23 42.3
13 | 15 35.6 S23 25.5 | 294 36.1 10.2 S 0 07.9 12.0 59.2 | Kaus Austr. 83 06.9 S34 21.3
14 | 30 35.3 S23 25.5 | 309 05.3 10.2 N 0 04.0 12.0 59.2 | Kochab 137 22.3 N73 56.6
15 | 45 35.0 S23 25.6 | 323 34.5 10.2 N 0 16.0 12.0 59.2 | Markab 13 10.3 N15 29.0
16 | 60 34.7 S23 25.6 | 338 03.7 10.2 N 0 28.0 12.0 59.2 | Menkar 313 45.3 N 4 17.2
17 | 75 34.4 S23 25.6 | 352 32.9 10.2 N 0 39.9 12.0 59.2 |
| | | Menkent 147 34.5 S36 37.0
18 | 90 34.1 S23 25.6 | 7 02.1 10.2 N 0 51.9 12.0 59.2 | Miaplacidus 221 32.8 S69 55.5
19 | 105 33.8 S23 25.6 | 21 31.3 10.2 N 1 03.8 12.0 59.2 | Mirfak 307 59.5 N50 02.5
20 | 120 33.5 S23 25.6 | 36 00.5 10.2 N 1 15.8 11.9 59.2 | Nunki 75 23.8 S26 13.7
21 | 135 33.2 S23 25.7 | 50 29.7 10.2 N 1 27.7 11.9 59.2 | Peacock 52 35.5 S56 34.1
22 | 150 32.8 S23 25.7 | 64 58.9 10.2 N 1 39.6 11.9 59.2 |
23 | 165 32.5 S23 25.7 | 79 28.1 10.2 N 1 51.6 11.9 59.2 | Polaris 309 18.1 N89 28.7
------+-------------------+----------------------------------| Pollux 242 53.0 N27 53.8
21 0 | 180 32.2 S23 25.7 | 93 57.3 10.2 N 2 03.5 11.9 59.2 | Procyon 244 30.0 N 5 05.3
1 | 195 31.9 S23 25.7 | 108 26.5 10.2 N 2 15.4 11.9 59.2 | Rasalhague 95 40.7 N12 31.7
2 | 210 31.6 S23 25.7 | 122 55.6 10.2 N 2 27.3 11.9 59.2 | Regulus 207 13.4 N11 42.8
3 | 225 31.3 S23 25.7 | 137 24.8 10.2 N 2 39.1 11.9 59.2 |
4 | 240 31.0 S23 25.8 | 151 53.9 10.1 N 2 51.0 11.9 59.2 | Rigel 280 44.6 S 8 08.8
W 5 | 255 30.7 S23 25.8 | 166 23.1 10.1 N 3 02.8 11.8 59.2 | Rigil Kent 139 13.7 S61 02.4
E | | | Sabik 101 40.6 S15 47.0
D 6 | 270 30.4 S23 25.8 | 180 52.2 10.1 N 3 14.6 11.8 59.2 | Schedar 349 08.1 N56 49.3
N 7 | 285 30.1 S23 25.8 | 195 21.3 10.1 N 3 26.5 11.8 59.2 | Shaula 95 44.1 S37 08.1
E 8 | 300 29.7 S23 25.8 | 209 50.4 10.1 N 3 38.2 11.8 59.2 |
S 9 | 315 29.4 S23 25.8 | 224 19.5 10.1 N 3 50.0 11.8 59.2 | Sirius 258 08.6 S16 47.4
D 10 | 330 29.1 S23 25.8 | 238 48.6 10.1 N 4 01.7 11.7 59.2 | Spica 158 01.7 S11 25.5
A 11 | 345 28.8 S23 25.8 | 253 17.6 10.1 N 4 13.5 11.7 59.2 | Suhail 222 31.3 S43 38.3
Y | | | Vega 80 20.3 N38 50.2
12 | 0 28.5 S23 25.8 | 267 46.7 10.0 N 4 25.1 11.7 59.2 | Zuben-ubi 136 35.9 S16 15.0
13 | 15 28.2 S23 25.8 | 282 15.7 10.0 N 4 36.8 11.7 59.2 |
14 | 30 27.9 S23 25.8 | 296 44.7 10.0 N 4 48.4 11.6 59.2 |
15 | 45 27.6 S23 25.8 | 311 13.7 10.0 N 5 00.1 11.6 59.2 |
16 | 60 27.3 S23 25.8 | 325 42.7 10.0 N 5 11.6 11.6 59.2 |
17 | 75 27.0 S23 25.8 | 340 11.7 10.0 N 5 23.2 11.6 59.2 |
| | |
18 | 90 26.6 S23 25.8 | 354 40.6 9.9 N 5 34.7 11.5 59.2 |
19 | 105 26.3 S23 25.8 | 9 09.6 9.9 N 5 46.2 11.5 59.2 |
20 | 120 26.0 S23 25.8 | 23 38.5 9.9 N 5 57.6 11.5 59.2 |
21 | 135 25.7 S23 25.8 | 38 07.4 9.9 N 6 09.1 11.4 59.2 |
22 | 150 25.4 S23 25.8 | 52 36.2 9.9 N 6 20.4 11.4 59.2 |
23 | 165 25.1 S23 25.8 | 67 05.1 9.8 N 6 31.8 11.3 59.2 |
------+-------------------+----------------------------------|
|S.D. 16.3 d 0.0 | S.D. 16.1 16.1 16.1 |