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2045 DEC. 21, 22, 23 (THU, FRI, SAT)
------+----------+-------------------+-------------------+-------------------+--------------------
| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
21 0 | 89 58.5 | 161 15.3 S21 28.9 | 259 26.4 S 2 26.7 | 110 51.1 S 9 59.7 | 194 58.4 S21 16.4
1 | 105 01.0 | 176 18.9 S21 28.4 | 274 27.7 S 2 27.2 | 125 53.2 S 9 59.6 | 210 00.5 S21 16.5
2 | 120 03.5 | 191 22.4 S21 27.9 | 289 29.0 S 2 27.7 | 140 55.3 S 9 59.4 | 225 02.7 S21 16.5
3 | 135 05.9 | 206 25.9 S21 27.4 | 304 30.3 S 2 28.1 | 155 57.4 S 9 59.3 | 240 04.8 S21 16.5
4 | 150 08.4 | 221 29.5 S21 26.9 | 319 31.6 S 2 28.6 | 170 59.5 S 9 59.1 | 255 07.0 S21 16.6
T 5 | 165 10.9 | 236 33.0 S21 26.4 | 334 32.8 S 2 29.1 | 186 01.6 S 9 59.0 | 270 09.1 S21 16.6
H
U 6 | 180 13.3 | 251 36.5 S21 25.9 | 349 34.1 S 2 29.6 | 201 03.7 S 9 58.8 | 285 11.3 S21 16.6
R 7 | 195 15.8 | 266 40.1 S21 25.4 | 4 35.4 S 2 30.0 | 216 05.8 S 9 58.6 | 300 13.4 S21 16.7
S 8 | 210 18.3 | 281 43.7 S21 24.9 | 19 36.7 S 2 30.5 | 231 07.8 S 9 58.5 | 315 15.6 S21 16.7
D 9 | 225 20.7 | 296 47.2 S21 24.3 | 34 38.0 S 2 31.0 | 246 09.9 S 9 58.3 | 330 17.8 S21 16.7
A 10 | 240 23.2 | 311 50.8 S21 23.8 | 49 39.3 S 2 31.5 | 261 12.0 S 9 58.2 | 345 19.9 S21 16.7
Y 11 | 255 25.7 | 326 54.3 S21 23.3 | 64 40.6 S 2 31.9 | 276 14.1 S 9 58.0 | 0 22.1 S21 16.8
12 | 270 28.1 | 341 57.9 S21 22.8 | 79 41.9 S 2 32.4 | 291 16.2 S 9 57.9 | 15 24.2 S21 16.8
13 | 285 30.6 | 357 01.5 S21 22.3 | 94 43.2 S 2 32.9 | 306 18.3 S 9 57.7 | 30 26.4 S21 16.8
14 | 300 33.0 | 12 05.1 S21 21.8 | 109 44.5 S 2 33.3 | 321 20.4 S 9 57.6 | 45 28.5 S21 16.9
15 | 315 35.5 | 27 08.7 S21 21.3 | 124 45.8 S 2 33.8 | 336 22.5 S 9 57.4 | 60 30.7 S21 16.9
16 | 330 38.0 | 42 12.2 S21 20.8 | 139 47.1 S 2 34.3 | 351 24.6 S 9 57.3 | 75 32.8 S21 16.9
17 | 345 40.4 | 57 15.8 S21 20.3 | 154 48.4 S 2 34.8 | 6 26.7 S 9 57.1 | 90 35.0 S21 17.0
18 | 0 42.9 | 72 19.4 S21 19.8 | 169 49.7 S 2 35.2 | 21 28.8 S 9 57.0 | 105 37.1 S21 17.0
19 | 15 45.4 | 87 23.0 S21 19.3 | 184 51.0 S 2 35.7 | 36 30.9 S 9 56.8 | 120 39.3 S21 17.0
20 | 30 47.8 | 102 26.6 S21 18.8 | 199 52.3 S 2 36.2 | 51 33.0 S 9 56.7 | 135 41.5 S21 17.1
21 | 45 50.3 | 117 30.2 S21 18.3 | 214 53.6 S 2 36.7 | 66 35.1 S 9 56.5 | 150 43.6 S21 17.1
22 | 60 52.8 | 132 33.8 S21 17.7 | 229 54.9 S 2 37.1 | 81 37.1 S 9 56.4 | 165 45.8 S21 17.1
23 | 75 55.2 | 147 37.5 S21 17.2 | 244 56.2 S 2 37.6 | 96 39.2 S 9 56.2 | 180 47.9 S21 17.1
------+----------+-------------------+-------------------+-------------------+--------------------
22 0 | 90 57.7 | 162 41.1 S21 16.7 | 259 57.5 S 2 38.1 | 111 41.3 S 9 56.1 | 195 50.1 S21 17.2
1 | 106 00.1 | 177 44.7 S21 16.2 | 274 58.8 S 2 38.5 | 126 43.4 S 9 55.9 | 210 52.2 S21 17.2
2 | 121 02.6 | 192 48.3 S21 15.7 | 290 00.1 S 2 39.0 | 141 45.5 S 9 55.7 | 225 54.4 S21 17.2
3 | 136 05.1 | 207 52.0 S21 15.2 | 305 01.4 S 2 39.5 | 156 47.6 S 9 55.6 | 240 56.5 S21 17.3
4 | 151 07.5 | 222 55.6 S21 14.7 | 320 02.7 S 2 40.0 | 171 49.7 S 9 55.4 | 255 58.7 S21 17.3
F 5 | 166 10.0 | 237 59.2 S21 14.2 | 335 04.0 S 2 40.4 | 186 51.8 S 9 55.3 | 271 00.8 S21 17.3
R
I 6 | 181 12.5 | 253 02.9 S21 13.7 | 350 05.3 S 2 40.9 | 201 53.9 S 9 55.1 | 286 03.0 S21 17.4
D 7 | 196 14.9 | 268 06.5 S21 13.2 | 5 06.6 S 2 41.4 | 216 56.0 S 9 55.0 | 301 05.2 S21 17.4
A 8 | 211 17.4 | 283 10.2 S21 12.7 | 20 07.9 S 2 41.8 | 231 58.1 S 9 54.8 | 316 07.3 S21 17.4
Y 9 | 226 19.9 | 298 13.8 S21 12.1 | 35 09.2 S 2 42.3 | 247 00.1 S 9 54.7 | 331 09.5 S21 17.4
10 | 241 22.3 | 313 17.5 S21 11.6 | 50 10.5 S 2 42.8 | 262 02.2 S 9 54.5 | 346 11.6 S21 17.5
11 | 256 24.8 | 328 21.1 S21 11.1 | 65 11.8 S 2 43.2 | 277 04.3 S 9 54.4 | 1 13.8 S21 17.5
12 | 271 27.3 | 343 24.8 S21 10.6 | 80 13.1 S 2 43.7 | 292 06.4 S 9 54.2 | 16 15.9 S21 17.5
13 | 286 29.7 | 358 28.5 S21 10.1 | 95 14.4 S 2 44.2 | 307 08.5 S 9 54.0 | 31 18.1 S21 17.6
14 | 301 32.2 | 13 32.1 S21 09.6 | 110 15.7 S 2 44.7 | 322 10.6 S 9 53.9 | 46 20.2 S21 17.6
15 | 316 34.6 | 28 35.8 S21 09.1 | 125 17.0 S 2 45.1 | 337 12.7 S 9 53.7 | 61 22.4 S21 17.6
16 | 331 37.1 | 43 39.5 S21 08.6 | 140 18.3 S 2 45.6 | 352 14.8 S 9 53.6 | 76 24.5 S21 17.7
17 | 346 39.6 | 58 43.2 S21 08.1 | 155 19.6 S 2 46.1 | 7 16.8 S 9 53.4 | 91 26.7 S21 17.7
18 | 1 42.0 | 73 46.9 S21 07.6 | 170 20.9 S 2 46.5 | 22 18.9 S 9 53.3 | 106 28.9 S21 17.7
19 | 16 44.5 | 88 50.6 S21 07.1 | 185 22.2 S 2 47.0 | 37 21.0 S 9 53.1 | 121 31.0 S21 17.7
20 | 31 47.0 | 103 54.3 S21 06.6 | 200 23.6 S 2 47.5 | 52 23.1 S 9 53.0 | 136 33.2 S21 17.8
21 | 46 49.4 | 118 58.0 S21 06.0 | 215 24.9 S 2 47.9 | 67 25.2 S 9 52.8 | 151 35.3 S21 17.8
22 | 61 51.9 | 134 01.7 S21 05.5 | 230 26.2 S 2 48.4 | 82 27.3 S 9 52.6 | 166 37.5 S21 17.8
23 | 76 54.4 | 149 05.4 S21 05.0 | 245 27.5 S 2 48.9 | 97 29.4 S 9 52.5 | 181 39.6 S21 17.9
------+----------+-------------------+-------------------+-------------------+--------------------
23 0 | 91 56.8 | 164 09.1 S21 04.5 | 260 28.8 S 2 49.3 | 112 31.5 S 9 52.3 | 196 41.8 S21 17.9
1 | 106 59.3 | 179 12.8 S21 04.0 | 275 30.1 S 2 49.8 | 127 33.5 S 9 52.2 | 211 43.9 S21 17.9
2 | 122 01.8 | 194 16.5 S21 03.5 | 290 31.4 S 2 50.3 | 142 35.6 S 9 52.0 | 226 46.1 S21 18.0
3 | 137 04.2 | 209 20.2 S21 03.0 | 305 32.7 S 2 50.7 | 157 37.7 S 9 51.9 | 241 48.3 S21 18.0
4 | 152 06.7 | 224 23.9 S21 02.5 | 320 34.0 S 2 51.2 | 172 39.8 S 9 51.7 | 256 50.4 S21 18.0
S 5 | 167 09.1 | 239 27.7 S21 02.0 | 335 35.3 S 2 51.7 | 187 41.9 S 9 51.6 | 271 52.6 S21 18.1
A
T 6 | 182 11.6 | 254 31.4 S21 01.5 | 350 36.6 S 2 52.1 | 202 44.0 S 9 51.4 | 286 54.7 S21 18.1
U 7 | 197 14.1 | 269 35.1 S21 01.0 | 5 37.9 S 2 52.6 | 217 46.1 S 9 51.2 | 301 56.9 S21 18.1
R 8 | 212 16.5 | 284 38.9 S21 00.5 | 20 39.2 S 2 53.1 | 232 48.1 S 9 51.1 | 316 59.0 S21 18.1
D 9 | 227 19.0 | 299 42.6 S20 59.9 | 35 40.5 S 2 53.5 | 247 50.2 S 9 50.9 | 332 01.2 S21 18.2
A 10 | 242 21.5 | 314 46.4 S20 59.4 | 50 41.8 S 2 54.0 | 262 52.3 S 9 50.8 | 347 03.3 S21 18.2
Y 11 | 257 23.9 | 329 50.1 S20 58.9 | 65 43.1 S 2 54.5 | 277 54.4 S 9 50.6 | 2 05.5 S21 18.2
12 | 272 26.4 | 344 53.9 S20 58.4 | 80 44.4 S 2 54.9 | 292 56.5 S 9 50.5 | 17 07.7 S21 18.3
13 | 287 28.9 | 359 57.6 S20 57.9 | 95 45.8 S 2 55.4 | 307 58.6 S 9 50.3 | 32 09.8 S21 18.3
14 | 302 31.3 | 15 01.4 S20 57.4 | 110 47.1 S 2 55.9 | 323 00.6 S 9 50.2 | 47 12.0 S21 18.3
15 | 317 33.8 | 30 05.1 S20 56.9 | 125 48.4 S 2 56.3 | 338 02.7 S 9 50.0 | 62 14.1 S21 18.4
16 | 332 36.3 | 45 08.9 S20 56.4 | 140 49.7 S 2 56.8 | 353 04.8 S 9 49.8 | 77 16.3 S21 18.4
17 | 347 38.7 | 60 12.7 S20 55.9 | 155 51.0 S 2 57.3 | 8 06.9 S 9 49.7 | 92 18.4 S21 18.4
18 | 2 41.2 | 75 16.5 S20 55.4 | 170 52.3 S 2 57.7 | 23 09.0 S 9 49.5 | 107 20.6 S21 18.4
19 | 17 43.6 | 90 20.2 S20 54.9 | 185 53.6 S 2 58.2 | 38 11.1 S 9 49.4 | 122 22.7 S21 18.5
20 | 32 46.1 | 105 24.0 S20 54.4 | 200 54.9 S 2 58.7 | 53 13.1 S 9 49.2 | 137 24.9 S21 18.5
21 | 47 48.6 | 120 27.8 S20 53.8 | 215 56.2 S 2 59.1 | 68 15.2 S 9 49.1 | 152 27.1 S21 18.5
22 | 62 51.0 | 135 31.6 S20 53.3 | 230 57.5 S 2 59.6 | 83 17.3 S 9 48.9 | 167 29.2 S21 18.6
23 | 77 53.5 | 150 35.4 S20 52.8 | 245 58.8 S 3 00.1 | 98 19.4 S 9 48.7 | 182 31.4 S21 18.6
------+----------+-------------------+-------------------+-------------------+--------------------
| v 3.7 d 0.5 | v 1.3 d 0.5 | v 2.1 d 0.2 | v 2.2 d 0.0
2045 DEC. 21, 22, 23 (THU, FRI, SAT)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
21 0 | 180 30.7 S23 26.0 | 43 17.1 8.9 N22 49.5 8.8 57.2 | Acamar 314 59.4 S40 07.4
1 | 195 30.4 S23 26.0 | 57 44.9 8.8 N22 58.2 8.7 57.2 | Achernar 335 08.1 S57 00.4
2 | 210 30.0 S23 26.1 | 72 12.6 8.7 N23 06.7 8.6 57.2 | Acrux 172 42.3 S63 21.0
3 | 225 29.7 S23 26.1 | 86 40.2 8.6 N23 15.2 8.5 57.3 | Adhara 254 53.0 S29 02.1
4 | 240 29.4 S23 26.1 | 101 07.6 8.5 N23 23.6 8.3 57.3 | Albireo 66 51.6 N28 03.5
T 5 | 255 29.1 S23 26.1 | 115 35.0 8.3 N23 31.8 8.2 57.3 |
H | | | Aldebaran 290 21.0 N16 36.1
U 6 | 270 28.8 S23 26.1 | 130 02.2 8.2 N23 39.9 8.1 57.4 | Alioth 165 59.2 N55 42.3
R 7 | 285 28.5 S23 26.1 | 144 29.3 8.1 N23 47.9 8.0 57.4 | Alkaid 152 39.7 N49 04.7
S 8 | 300 28.2 S23 26.1 | 158 56.3 8.0 N23 55.7 7.9 57.4 | Al Na-ir 27 13.2 S46 44.4
D 9 | 315 27.9 S23 26.1 | 173 23.2 7.9 N24 03.5 7.7 57.5 | Alnilam 275 21.2 S 1 10.4
A 10 | 330 27.6 S23 26.1 | 187 49.9 7.8 N24 11.1 7.6 57.5 |
Y 11 | 345 27.3 S23 26.1 | 202 16.6 7.6 N24 18.5 7.5 57.5 | Alphard 217 31.9 S 8 51.5
| | | Alphecca 125 50.6 N26 33.5
12 | 0 26.9 S23 26.1 | 216 43.1 7.5 N24 25.9 7.3 57.6 | Alpheratz 357 18.3 N29 20.9
13 | 15 26.6 S23 26.1 | 231 09.5 7.4 N24 33.1 7.2 57.6 | Altair 61 44.8 N 8 59.5
14 | 30 26.3 S23 26.1 | 245 35.8 7.3 N24 40.2 7.1 57.7 | Ankaa 352 51.4 S42 03.6
15 | 45 26.0 S23 26.1 | 260 02.0 7.2 N24 47.1 6.9 57.7 |
16 | 60 25.7 S23 26.1 | 274 28.1 7.1 N24 53.9 6.8 57.7 | Antares 111 56.7 S26 31.9
17 | 75 25.4 S23 26.1 | 288 54.0 7.0 N25 00.6 6.7 57.8 | Arcturus 145 33.6 N18 56.4
| | | Atria 106 37.2 S69 06.5
18 | 90 25.1 S23 26.1 | 303 19.9 6.9 N25 07.1 6.5 57.8 | Avior 234 07.6 S59 39.3
19 | 105 24.8 S23 26.1 | 317 45.6 6.7 N25 13.5 6.4 57.8 | Bellatrix 278 05.5 N 6 23.4
20 | 120 24.5 S23 26.1 | 332 11.3 6.6 N25 19.7 6.2 57.9 |
21 | 135 24.2 S23 26.1 | 346 36.8 6.5 N25 25.8 6.1 57.9 | Betelgeuse 270 34.5 N 7 24.9
22 | 150 23.9 S23 26.0 | 1 02.2 6.4 N25 31.7 5.9 57.9 | Canopus 263 44.7 S52 43.2
23 | 165 23.5 S23 26.0 | 15 27.5 6.3 N25 37.5 5.8 58.0 | Capella 279 57.9 N46 02.6
------+-------------------+----------------------------------| Castor 245 36.4 N31 47.1
22 0 | 180 23.2 S23 26.0 | 29 52.7 6.2 N25 43.2 5.6 58.0 | Deneb 49 15.3 N45 26.9
1 | 195 22.9 S23 26.0 | 44 17.8 6.1 N25 48.7 5.5 58.0 |
2 | 210 22.6 S23 26.0 | 58 42.8 6.0 N25 54.0 5.3 58.1 | Denebola 182 08.7 N14 18.7
3 | 225 22.3 S23 26.0 | 73 07.7 5.9 N25 59.2 5.2 58.1 | Diphda 348 31.3 S17 44.1
4 | 240 22.0 S23 26.0 | 87 32.5 5.8 N26 04.2 5.0 58.1 | Dubhe 193 21.4 N61 29.7
F 5 | 255 21.7 S23 26.0 | 101 57.2 5.7 N26 09.1 4.9 58.2 | Elnath 277 41.4 N28 38.7
R | | | Eltanin 90 35.4 N51 28.9
I 6 | 270 21.4 S23 26.0 | 116 21.8 5.6 N26 13.8 4.7 58.2 |
D 7 | 285 21.1 S23 25.9 | 130 46.3 5.5 N26 18.3 4.5 58.2 | Enif 33 23.3 N10 05.3
A 8 | 300 20.8 S23 25.9 | 145 10.7 5.4 N26 22.7 4.4 58.3 | Fomalhaut 14 57.1 S29 22.8
Y 9 | 315 20.4 S23 25.9 | 159 35.1 5.3 N26 26.9 4.2 58.3 | Gacrux 171 34.0 S57 22.0
10 | 330 20.1 S23 25.9 | 173 59.3 5.2 N26 31.0 4.1 58.3 | Gienah 175 27.2 S17 47.8
11 | 345 19.8 S23 25.9 | 188 23.4 5.1 N26 34.9 3.9 58.3 | Hadar 148 13.8 S60 35.4
| | |
12 | 0 19.5 S23 25.9 | 202 47.5 5.1 N26 38.6 3.7 58.4 | Hamal 327 33.1 N23 41.0
13 | 15 19.2 S23 25.8 | 217 11.5 5.0 N26 42.2 3.6 58.4 | Kaus Austr. 83 11.9 S34 21.7
14 | 30 18.9 S23 25.8 | 231 35.4 4.9 N26 45.6 3.4 58.4 | Kochab 137 21.5 N73 57.7
15 | 45 18.6 S23 25.8 | 245 59.2 4.8 N26 48.8 3.2 58.5 | Markab 13 14.1 N15 27.3
16 | 60 18.3 S23 25.8 | 260 22.9 4.7 N26 51.8 3.0 58.5 | Menkar 313 49.2 N 4 16.2
17 | 75 18.0 S23 25.7 | 274 46.5 4.7 N26 54.7 2.9 58.5 |
| | | Menkent 147 39.1 S36 35.7
18 | 90 17.7 S23 25.7 | 289 10.1 4.6 N26 57.4 2.7 58.6 | Miaplacidus 221 34.1 S69 54.2
19 | 105 17.4 S23 25.7 | 303 33.6 4.5 N26 59.9 2.5 58.6 | Mirfak 308 05.1 N50 01.6
20 | 120 17.0 S23 25.7 | 317 57.1 4.4 N27 02.3 2.3 58.6 | Nunki 75 28.4 S26 14.3
21 | 135 16.7 S23 25.6 | 332 20.4 4.4 N27 04.4 2.2 58.7 | Peacock 52 41.2 S56 35.3
22 | 150 16.4 S23 25.6 | 346 43.7 4.3 N27 06.4 2.0 58.7 |
23 | 165 16.1 S23 25.6 | 1 06.9 4.2 N27 08.2 1.8 58.7 | Polaris 310 47.9 N89 27.5
------+-------------------+----------------------------------| Pollux 242 57.5 N27 54.7
23 0 | 180 15.8 S23 25.6 | 15 30.1 4.2 N27 09.8 1.6 58.8 | Procyon 244 33.9 N 5 06.3
1 | 195 15.5 S23 25.5 | 29 53.2 4.1 N27 11.3 1.4 58.8 | Rasalhague 95 44.2 N12 31.7
2 | 210 15.2 S23 25.5 | 44 16.3 4.1 N27 12.6 1.3 58.8 | Regulus 207 17.4 N11 44.4
3 | 225 14.9 S23 25.5 | 58 39.3 4.0 N27 13.6 1.1 58.8 |
4 | 240 14.6 S23 25.4 | 73 02.2 3.9 N27 14.5 0.9 58.9 | Rigel 280 48.2 S 8 09.0
S 5 | 255 14.3 S23 25.4 | 87 25.1 3.9 N27 15.2 0.7 58.9 | Rigil Kent 139 19.1 S61 01.3
A | | | Sabik 101 44.9 S15 46.9
T 6 | 270 13.9 S23 25.4 | 101 48.0 3.9 N27 15.8 0.5 58.9 | Schedar 349 12.7 N56 47.7
U 7 | 285 13.6 S23 25.3 | 116 10.8 3.8 N27 16.1 0.3 59.0 | Shaula 95 49.2 S37 08.1
R 8 | 300 13.3 S23 25.3 | 130 33.6 3.8 N27 16.3 0.2 59.0 |
D 9 | 315 13.0 S23 25.3 | 144 56.3 3.7 N27 16.2 0.0 59.0 | Sirius 258 11.9 S16 46.8
A 10 | 330 12.7 S23 25.2 | 159 19.0 3.7 N27 16.0 0.2 59.0 | Spica 158 05.6 S11 24.1
Y 11 | 345 12.4 S23 25.2 | 173 41.6 3.7 N27 15.6 0.4 59.1 | Suhail 222 34.2 S43 37.0
| | | Vega 80 22.9 N38 49.6
12 | 0 12.1 S23 25.1 | 188 04.3 3.6 N27 15.0 0.6 59.1 | Zuben-ubi 136 40.0 S16 13.9
13 | 15 11.8 S23 25.1 | 202 26.9 3.6 N27 14.2 0.8 59.1 |
14 | 30 11.5 S23 25.1 | 216 49.4 3.6 N27 13.2 1.0 59.1 |
15 | 45 11.2 S23 25.0 | 231 12.0 3.5 N27 12.1 1.2 59.2 |
16 | 60 10.9 S23 25.0 | 245 34.5 3.5 N27 10.7 1.4 59.2 |
17 | 75 10.5 S23 24.9 | 259 57.0 3.5 N27 09.2 1.5 59.2 |
| | |
18 | 90 10.2 S23 24.9 | 274 19.5 3.5 N27 07.4 1.7 59.2 |
19 | 105 09.9 S23 24.8 | 288 42.0 3.5 N27 05.5 1.9 59.3 |
20 | 120 09.6 S23 24.8 | 303 04.4 3.5 N27 03.4 2.1 59.3 |
21 | 135 09.3 S23 24.7 | 317 26.9 3.5 N27 01.1 2.3 59.3 |
22 | 150 09.0 S23 24.7 | 331 49.4 3.5 N26 58.6 2.5 59.3 |
23 | 165 08.7 S23 24.7 | 346 11.8 3.5 N26 55.9 2.7 59.4 |
------+-------------------+----------------------------------|
|S.D. 16.3 d 0.0 | S.D. 15.7 15.9 16.1 |