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2050 DEC. 20, 21, 22 (TUE, WED, THU)
------+----------+-------------------+-------------------+-------------------+--------------------
| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
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
------+----------+-------------------+-------------------+-------------------+--------------------
22 0 | 90 45.2 | 228 41.4 S12 57.9 | 91 24.6 S 0 40.1 | 292 43.2 N10 18.0 | 141 29.1 S19 12.3
1 | 105 47.7 | 243 41.5 S12 58.5 | 106 25.6 S 0 39.4 | 307 45.7 N10 18.0 | 156 31.3 S19 12.2
2 | 120 50.1 | 258 41.5 S12 59.2 | 121 26.7 S 0 38.7 | 322 48.2 N10 18.1 | 171 33.5 S19 12.1
3 | 135 52.6 | 273 41.6 S12 59.9 | 136 27.7 S 0 38.0 | 337 50.6 N10 18.1 | 186 35.7 S19 12.1
4 | 150 55.1 | 288 41.6 S13 00.5 | 151 28.8 S 0 37.3 | 352 53.1 N10 18.1 | 201 37.9 S19 12.0
T 5 | 165 57.5 | 303 41.7 S13 01.2 | 166 29.8 S 0 36.7 | 7 55.6 N10 18.1 | 216 40.1 S19 11.9
H
U 6 | 180 60.0 | 318 41.7 S13 01.8 | 181 30.9 S 0 36.0 | 22 58.0 N10 18.1 | 231 42.3 S19 11.9
R 7 | 196 02.5 | 333 41.8 S13 02.5 | 196 31.9 S 0 35.3 | 38 00.5 N10 18.1 | 246 44.5 S19 11.8
S 8 | 211 04.9 | 348 41.8 S13 03.1 | 211 33.0 S 0 34.6 | 53 03.0 N10 18.1 | 261 46.7 S19 11.7
D 9 | 226 07.4 | 3 41.9 S13 03.8 | 226 34.0 S 0 33.9 | 68 05.4 N10 18.1 | 276 48.9 S19 11.7
A 10 | 241 09.8 | 18 41.9 S13 04.4 | 241 35.1 S 0 33.2 | 83 07.9 N10 18.2 | 291 51.1 S19 11.6
Y 11 | 256 12.3 | 33 41.9 S13 05.1 | 256 36.1 S 0 32.5 | 98 10.4 N10 18.2 | 306 53.3 S19 11.6
12 | 271 14.8 | 48 42.0 S13 05.7 | 271 37.2 S 0 31.9 | 113 12.8 N10 18.2 | 321 55.5 S19 11.5
13 | 286 17.2 | 63 42.0 S13 06.4 | 286 38.2 S 0 31.2 | 128 15.3 N10 18.2 | 336 57.7 S19 11.4
14 | 301 19.7 | 78 42.1 S13 07.0 | 301 39.3 S 0 30.5 | 143 17.8 N10 18.2 | 351 59.9 S19 11.4
15 | 316 22.2 | 93 42.1 S13 07.7 | 316 40.3 S 0 29.8 | 158 20.2 N10 18.2 | 7 02.1 S19 11.3
16 | 331 24.6 | 108 42.1 S13 08.4 | 331 41.4 S 0 29.1 | 173 22.7 N10 18.2 | 22 04.3 S19 11.2
17 | 346 27.1 | 123 42.2 S13 09.0 | 346 42.4 S 0 28.4 | 188 25.2 N10 18.2 | 37 06.4 S19 11.2
18 | 1 29.6 | 138 42.2 S13 09.7 | 1 43.5 S 0 27.7 | 203 27.6 N10 18.3 | 52 08.6 S19 11.1
19 | 16 32.0 | 153 42.2 S13 10.3 | 16 44.5 S 0 27.0 | 218 30.1 N10 18.3 | 67 10.8 S19 11.0
20 | 31 34.5 | 168 42.3 S13 11.0 | 31 45.6 S 0 26.4 | 233 32.6 N10 18.3 | 82 13.0 S19 11.0
21 | 46 36.9 | 183 42.3 S13 11.6 | 46 46.6 S 0 25.7 | 248 35.0 N10 18.3 | 97 15.2 S19 10.9
22 | 61 39.4 | 198 42.3 S13 12.3 | 61 47.7 S 0 25.0 | 263 37.5 N10 18.3 | 112 17.4 S19 10.8
23 | 76 41.9 | 213 42.4 S13 12.9 | 76 48.7 S 0 24.3 | 278 40.0 N10 18.3 | 127 19.6 S19 10.8
------+----------+-------------------+-------------------+-------------------+--------------------
| v 0.1 d 0.7 | v 1.1 d 0.7 | v 2.5 d 0.0 | v 2.2 d 0.1
2050 DEC. 20, 21, 22 (TUE, WED, THU)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
20 0 | 180 39.7 S23 25.1 | 106 16.7 10.1 S 2 43.1 11.9 59.2 | Acamar 314 56.7 S40 06.3
1 | 195 39.3 S23 25.2 | 120 45.8 10.1 S 2 31.2 11.9 59.2 | Achernar 335 05.7 S56 59.0
2 | 210 39.0 S23 25.2 | 135 15.0 10.2 S 2 19.3 11.9 59.2 | Acrux 172 37.7 S63 22.6
3 | 225 38.7 S23 25.2 | 149 44.2 10.2 S 2 07.4 11.9 59.2 | Adhara 254 50.0 S29 02.7
4 | 240 38.4 S23 25.3 | 164 13.3 10.2 S 1 55.5 11.9 59.2 | Albireo 66 48.5 N28 04.3
T 5 | 255 38.1 S23 25.3 | 178 42.5 10.2 S 1 43.6 11.9 59.2 |
U | | | Aldebaran 290 16.7 N16 36.5
E 6 | 270 37.8 S23 25.3 | 193 11.7 10.2 S 1 31.6 11.9 59.2 | Alioth 165 56.2 N55 40.7
S 7 | 285 37.5 S23 25.4 | 207 40.9 10.2 S 1 19.7 11.9 59.2 | Alkaid 152 37.0 N49 03.4
D 8 | 300 37.2 S23 25.4 | 222 10.1 10.2 S 1 07.8 11.9 59.2 | Al Na-ir 27 08.7 S46 42.9
A 9 | 315 36.9 S23 25.4 | 236 39.3 10.2 S 0 55.8 12.0 59.2 | Alnilam 275 17.4 S 1 10.4
Y 10 | 330 36.6 S23 25.4 | 251 08.5 10.2 S 0 43.8 12.0 59.2 |
11 | 345 36.3 S23 25.5 | 265 37.7 10.2 S 0 31.9 12.0 59.2 | Alphard 217 28.2 S 8 53.0
| | | Alphecca 125 47.5 N26 32.7
12 | 0 35.9 S23 25.5 | 280 06.9 10.2 S 0 19.9 12.0 59.2 | Alpheratz 357 14.3 N29 22.6
13 | 15 35.6 S23 25.5 | 294 36.1 10.2 S 0 07.9 12.0 59.2 | Altair 61 41.1 N 9 00.5
14 | 30 35.3 S23 25.5 | 309 05.3 10.2 N 0 04.0 12.0 59.2 | Ankaa 352 47.9 S42 02.0
15 | 45 35.0 S23 25.6 | 323 34.5 10.2 N 0 16.0 12.0 59.2 |
16 | 60 34.7 S23 25.6 | 338 03.7 10.2 N 0 28.0 12.0 59.2 | Antares 111 52.0 S26 32.4
17 | 75 34.4 S23 25.6 | 352 32.9 10.2 N 0 39.9 12.0 59.2 | Arcturus 145 30.3 N18 55.0
| | | Atria 106 29.1 S69 06.8
18 | 90 34.1 S23 25.6 | 7 02.1 10.2 N 0 51.9 12.0 59.2 | Avior 234 05.9 S59 40.5
19 | 105 33.8 S23 25.6 | 21 31.3 10.2 N 1 03.8 12.0 59.2 | Bellatrix 278 01.5 N 6 23.5
20 | 120 33.5 S23 25.6 | 36 00.5 10.2 N 1 15.8 11.9 59.2 |
21 | 135 33.2 S23 25.7 | 50 29.7 10.2 N 1 27.7 11.9 59.2 | Betelgeuse 270 30.5 N 7 24.7
22 | 150 32.8 S23 25.7 | 64 58.9 10.2 N 1 39.6 11.9 59.2 | Canopus 263 43.0 S52 43.6
23 | 165 32.5 S23 25.7 | 79 28.1 10.2 N 1 51.6 11.9 59.2 | Capella 279 52.3 N46 02.7
------+-------------------+----------------------------------| Castor 245 31.7 N31 46.2
21 0 | 180 32.2 S23 25.7 | 93 57.3 10.2 N 2 03.5 11.9 59.2 | Deneb 49 12.6 N45 28.1
1 | 195 31.9 S23 25.7 | 108 26.5 10.2 N 2 15.4 11.9 59.2 |
2 | 210 31.6 S23 25.7 | 122 55.6 10.2 N 2 27.3 11.9 59.2 | Denebola 182 05.0 N14 17.1
3 | 225 31.3 S23 25.7 | 137 24.8 10.2 N 2 39.1 11.9 59.2 | Diphda 348 27.6 S17 42.5
4 | 240 31.0 S23 25.8 | 151 53.9 10.1 N 2 51.0 11.9 59.2 | Dubhe 193 17.2 N61 28.1
W 5 | 255 30.7 S23 25.8 | 166 23.1 10.1 N 3 02.8 11.8 59.2 | Elnath 277 36.6 N28 38.7
E | | | Eltanin 90 33.6 N51 29.1
D 6 | 270 30.4 S23 25.8 | 180 52.2 10.1 N 3 14.6 11.8 59.2 |
N 7 | 285 30.1 S23 25.8 | 195 21.3 10.1 N 3 26.5 11.8 59.2 | Enif 33 19.6 N10 06.8
E 8 | 300 29.7 S23 25.8 | 209 50.4 10.1 N 3 38.2 11.8 59.2 | Fomalhaut 14 53.1 S29 21.1
S 9 | 315 29.4 S23 25.8 | 224 19.5 10.1 N 3 50.0 11.8 59.2 | Gacrux 171 29.4 S57 23.7
D 10 | 330 29.1 S23 25.8 | 238 48.6 10.1 N 4 01.7 11.7 59.2 | Gienah 175 23.3 S17 49.4
A 11 | 345 28.8 S23 25.8 | 253 17.6 10.1 N 4 13.5 11.7 59.2 | Hadar 148 08.1 S60 36.8
Y | | |
12 | 0 28.5 S23 25.8 | 267 46.7 10.0 N 4 25.1 11.7 59.2 | Hamal 327 28.7 N23 42.3
13 | 15 28.2 S23 25.8 | 282 15.7 10.0 N 4 36.8 11.7 59.2 | Kaus Austr. 83 06.9 S34 21.3
14 | 30 27.9 S23 25.8 | 296 44.7 10.0 N 4 48.4 11.6 59.2 | Kochab 137 22.3 N73 56.6
15 | 45 27.6 S23 25.8 | 311 13.7 10.0 N 5 00.1 11.6 59.2 | Markab 13 10.3 N15 29.0
16 | 60 27.3 S23 25.8 | 325 42.7 10.0 N 5 11.6 11.6 59.2 | Menkar 313 45.3 N 4 17.2
17 | 75 27.0 S23 25.8 | 340 11.7 10.0 N 5 23.2 11.6 59.2 |
| | | Menkent 147 34.5 S36 37.0
18 | 90 26.6 S23 25.8 | 354 40.6 9.9 N 5 34.7 11.5 59.2 | Miaplacidus 221 32.8 S69 55.5
19 | 105 26.3 S23 25.8 | 9 09.6 9.9 N 5 46.2 11.5 59.2 | Mirfak 307 59.5 N50 02.5
20 | 120 26.0 S23 25.8 | 23 38.5 9.9 N 5 57.6 11.5 59.2 | Nunki 75 23.8 S26 13.7
21 | 135 25.7 S23 25.8 | 38 07.4 9.9 N 6 09.1 11.4 59.2 | Peacock 52 35.5 S56 34.1
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 | Polaris 309 18.4 N89 28.7
------+-------------------+----------------------------------| Pollux 242 53.0 N27 53.8
22 0 | 180 24.8 S23 25.8 | 81 33.9 9.8 N 6 43.1 11.3 59.2 | Procyon 244 30.0 N 5 05.3
1 | 195 24.5 S23 25.8 | 96 02.7 9.8 N 6 54.4 11.3 59.2 | Rasalhague 95 40.7 N12 31.7
2 | 210 24.2 S23 25.8 | 110 31.5 9.8 N 7 05.6 11.2 59.1 | Regulus 207 13.4 N11 42.8
3 | 225 23.9 S23 25.8 | 125 00.2 9.8 N 7 16.8 11.2 59.1 |
4 | 240 23.5 S23 25.8 | 139 29.0 9.7 N 7 27.9 11.1 59.1 | Rigel 280 44.6 S 8 08.8
T 5 | 255 23.2 S23 25.8 | 153 57.7 9.7 N 7 39.0 11.1 59.1 | Rigil Kent 139 13.7 S61 02.4
H | | | Sabik 101 40.6 S15 47.0
U 6 | 270 22.9 S23 25.8 | 168 26.4 9.7 N 7 50.1 11.1 59.1 | Schedar 349 08.1 N56 49.3
R 7 | 285 22.6 S23 25.7 | 182 55.0 9.7 N 8 01.1 11.0 59.1 | Shaula 95 44.1 S37 08.1
S 8 | 300 22.3 S23 25.7 | 197 23.6 9.6 N 8 12.0 11.0 59.1 |
D 9 | 315 22.0 S23 25.7 | 211 52.2 9.6 N 8 23.0 10.9 59.1 | Sirius 258 08.6 S16 47.4
A 10 | 330 21.7 S23 25.7 | 226 20.8 9.6 N 8 33.8 10.9 59.1 | Spica 158 01.7 S11 25.5
Y 11 | 345 21.4 S23 25.7 | 240 49.4 9.5 N 8 44.6 10.8 59.1 | Suhail 222 31.3 S43 38.3
| | | Vega 80 20.3 N38 50.1
12 | 0 21.1 S23 25.7 | 255 17.9 9.5 N 8 55.4 10.8 59.1 | Zuben-ubi 136 35.9 S16 15.0
13 | 15 20.7 S23 25.7 | 269 46.4 9.5 N 9 06.1 10.7 59.1 |
14 | 30 20.4 S23 25.6 | 284 14.8 9.5 N 9 16.8 10.7 59.1 |
15 | 45 20.1 S23 25.6 | 298 43.3 9.4 N 9 27.4 10.6 59.1 |
16 | 60 19.8 S23 25.6 | 313 11.7 9.4 N 9 37.9 10.5 59.1 |
17 | 75 19.5 S23 25.6 | 327 40.1 9.4 N 9 48.4 10.5 59.1 |
| | |
18 | 90 19.2 S23 25.6 | 342 08.4 9.3 N 9 58.8 10.4 59.1 |
19 | 105 18.9 S23 25.5 | 356 36.7 9.3 N10 09.2 10.4 59.1 |
20 | 120 18.6 S23 25.5 | 11 05.0 9.3 N10 19.5 10.3 59.1 |
21 | 135 18.3 S23 25.5 | 25 33.2 9.2 N10 29.7 10.2 59.0 |
22 | 150 18.0 S23 25.5 | 40 01.5 9.2 N10 39.9 10.2 59.0 |
23 | 165 17.6 S23 25.5 | 54 29.6 9.2 N10 50.0 10.1 59.0 |
------+-------------------+----------------------------------|
|S.D. 16.3 d 0.0 | S.D. 16.1 16.1 16.1 |