
2113 DEC. 24, 25, 26 (SUN, MON, TUE)
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| ARIES | VENUS | MARS | JUPITER | SATURN
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G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
24 0 | 92 27.8 | 176 36.5 S23 51.7 | 225 55.4 S16 49.7 | 200 10.0 S21 50.8 | 97 58.3 S 4 47.5
1 | 107 30.3 | 191 35.6 S23 51.7 | 240 56.3 S16 50.2 | 215 11.8 S21 50.9 | 113 00.6 S 4 47.4
2 | 122 32.8 | 206 34.6 S23 51.6 | 255 57.1 S16 50.6 | 230 13.7 S21 51.0 | 128 03.0 S 4 47.4
3 | 137 35.2 | 221 33.6 S23 51.6 | 270 57.9 S16 51.1 | 245 15.6 S21 51.0 | 143 05.3 S 4 47.3
4 | 152 37.7 | 236 32.6 S23 51.5 | 285 58.7 S16 51.6 | 260 17.5 S21 51.1 | 158 07.7 S 4 47.2
S 5 | 167 40.2 | 251 31.7 S23 51.5 | 300 59.5 S16 52.0 | 275 19.4 S21 51.2 | 173 10.0 S 4 47.2
U
N 6 | 182 42.6 | 266 30.7 S23 51.5 | 316 00.4 S16 52.5 | 290 21.3 S21 51.2 | 188 12.4 S 4 47.1
D 7 | 197 45.1 | 281 29.7 S23 51.4 | 331 01.2 S16 53.0 | 305 23.1 S21 51.3 | 203 14.7 S 4 47.1
A 8 | 212 47.5 | 296 28.7 S23 51.4 | 346 02.0 S16 53.4 | 320 25.0 S21 51.4 | 218 17.1 S 4 47.0
Y 9 | 227 50.0 | 311 27.8 S23 51.3 | 1 02.8 S16 53.9 | 335 26.9 S21 51.4 | 233 19.5 S 4 47.0
10 | 242 52.5 | 326 26.8 S23 51.3 | 16 03.7 S16 54.4 | 350 28.8 S21 51.5 | 248 21.8 S 4 46.9
11 | 257 54.9 | 341 25.8 S23 51.2 | 31 04.5 S16 54.8 | 5 30.7 S21 51.6 | 263 24.2 S 4 46.9
12 | 272 57.4 | 356 24.8 S23 51.2 | 46 05.3 S16 55.3 | 20 32.5 S21 51.6 | 278 26.5 S 4 46.8
13 | 287 59.9 | 11 23.9 S23 51.1 | 61 06.1 S16 55.8 | 35 34.4 S21 51.7 | 293 28.9 S 4 46.7
14 | 303 02.3 | 26 22.9 S23 51.1 | 76 07.0 S16 56.2 | 50 36.3 S21 51.8 | 308 31.2 S 4 46.7
15 | 318 04.8 | 41 21.9 S23 51.0 | 91 07.8 S16 56.7 | 65 38.2 S21 51.8 | 323 33.6 S 4 46.6
16 | 333 07.3 | 56 20.9 S23 51.0 | 106 08.6 S16 57.1 | 80 40.1 S21 51.9 | 338 35.9 S 4 46.6
17 | 348 09.7 | 71 20.0 S23 50.9 | 121 09.4 S16 57.6 | 95 41.9 S21 52.0 | 353 38.3 S 4 46.5
18 | 3 12.2 | 86 19.0 S23 50.9 | 136 10.2 S16 58.1 | 110 43.8 S21 52.0 | 8 40.6 S 4 46.5
19 | 18 14.7 | 101 18.0 S23 50.8 | 151 11.1 S16 58.5 | 125 45.7 S21 52.1 | 23 43.0 S 4 46.4
20 | 33 17.1 | 116 17.0 S23 50.8 | 166 11.9 S16 59.0 | 140 47.6 S21 52.2 | 38 45.3 S 4 46.3
21 | 48 19.6 | 131 16.1 S23 50.7 | 181 12.7 S16 59.5 | 155 49.5 S21 52.2 | 53 47.7 S 4 46.3
22 | 63 22.0 | 146 15.1 S23 50.6 | 196 13.5 S16 59.9 | 170 51.3 S21 52.3 | 68 50.0 S 4 46.2
23 | 78 24.5 | 161 14.1 S23 50.6 | 211 14.3 S17 00.4 | 185 53.2 S21 52.4 | 83 52.4 S 4 46.2
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25 0 | 93 27.0 | 176 13.1 S23 50.5 | 226 15.2 S17 00.9 | 200 55.1 S21 52.4 | 98 54.7 S 4 46.1
1 | 108 29.4 | 191 12.2 S23 50.4 | 241 16.0 S17 01.3 | 215 57.0 S21 52.5 | 113 57.1 S 4 46.1
2 | 123 31.9 | 206 11.2 S23 50.4 | 256 16.8 S17 01.8 | 230 58.9 S21 52.6 | 128 59.4 S 4 46.0
3 | 138 34.4 | 221 10.2 S23 50.3 | 271 17.6 S17 02.2 | 246 00.8 S21 52.6 | 144 01.8 S 4 45.9
4 | 153 36.8 | 236 09.2 S23 50.2 | 286 18.5 S17 02.7 | 261 02.6 S21 52.7 | 159 04.1 S 4 45.9
M 5 | 168 39.3 | 251 08.3 S23 50.2 | 301 19.3 S17 03.2 | 276 04.5 S21 52.8 | 174 06.5 S 4 45.8
O
N 6 | 183 41.8 | 266 07.3 S23 50.1 | 316 20.1 S17 03.6 | 291 06.4 S21 52.8 | 189 08.8 S 4 45.8
D 7 | 198 44.2 | 281 06.3 S23 50.0 | 331 20.9 S17 04.1 | 306 08.3 S21 52.9 | 204 11.2 S 4 45.7
A 8 | 213 46.7 | 296 05.3 S23 49.9 | 346 21.7 S17 04.5 | 321 10.2 S21 53.0 | 219 13.5 S 4 45.6
Y 9 | 228 49.2 | 311 04.4 S23 49.9 | 1 22.5 S17 05.0 | 336 12.0 S21 53.0 | 234 15.9 S 4 45.6
10 | 243 51.6 | 326 03.4 S23 49.8 | 16 23.4 S17 05.5 | 351 13.9 S21 53.1 | 249 18.2 S 4 45.5
11 | 258 54.1 | 341 02.4 S23 49.7 | 31 24.2 S17 05.9 | 6 15.8 S21 53.2 | 264 20.6 S 4 45.5
12 | 273 56.5 | 356 01.4 S23 49.6 | 46 25.0 S17 06.4 | 21 17.7 S21 53.2 | 279 22.9 S 4 45.4
13 | 288 59.0 | 11 00.5 S23 49.5 | 61 25.8 S17 06.8 | 36 19.6 S21 53.3 | 294 25.3 S 4 45.4
14 | 304 01.5 | 25 59.5 S23 49.5 | 76 26.6 S17 07.3 | 51 21.5 S21 53.4 | 309 27.6 S 4 45.3
15 | 319 03.9 | 40 58.5 S23 49.4 | 91 27.5 S17 07.8 | 66 23.3 S21 53.4 | 324 30.0 S 4 45.2
16 | 334 06.4 | 55 57.6 S23 49.3 | 106 28.3 S17 08.2 | 81 25.2 S21 53.5 | 339 32.3 S 4 45.2
17 | 349 08.9 | 70 56.6 S23 49.2 | 121 29.1 S17 08.7 | 96 27.1 S21 53.6 | 354 34.7 S 4 45.1
18 | 4 11.3 | 85 55.6 S23 49.1 | 136 29.9 S17 09.1 | 111 29.0 S21 53.6 | 9 37.0 S 4 45.1
19 | 19 13.8 | 100 54.6 S23 49.0 | 151 30.7 S17 09.6 | 126 30.9 S21 53.7 | 24 39.4 S 4 45.0
20 | 34 16.3 | 115 53.7 S23 48.9 | 166 31.6 S17 10.1 | 141 32.7 S21 53.8 | 39 41.7 S 4 44.9
21 | 49 18.7 | 130 52.7 S23 48.8 | 181 32.4 S17 10.5 | 156 34.6 S21 53.8 | 54 44.1 S 4 44.9
22 | 64 21.2 | 145 51.7 S23 48.8 | 196 33.2 S17 11.0 | 171 36.5 S21 53.9 | 69 46.4 S 4 44.8
23 | 79 23.6 | 160 50.7 S23 48.7 | 211 34.0 S17 11.4 | 186 38.4 S21 54.0 | 84 48.7 S 4 44.8
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26 0 | 94 26.1 | 175 49.8 S23 48.6 | 226 34.8 S17 11.9 | 201 40.3 S21 54.0 | 99 51.1 S 4 44.7
1 | 109 28.6 | 190 48.8 S23 48.5 | 241 35.6 S17 12.3 | 216 42.2 S21 54.1 | 114 53.4 S 4 44.6
2 | 124 31.0 | 205 47.8 S23 48.4 | 256 36.5 S17 12.8 | 231 44.0 S21 54.2 | 129 55.8 S 4 44.6
3 | 139 33.5 | 220 46.9 S23 48.3 | 271 37.3 S17 13.3 | 246 45.9 S21 54.2 | 144 58.1 S 4 44.5
4 | 154 36.0 | 235 45.9 S23 48.2 | 286 38.1 S17 13.7 | 261 47.8 S21 54.3 | 160 00.5 S 4 44.5
T 5 | 169 38.4 | 250 44.9 S23 48.1 | 301 38.9 S17 14.2 | 276 49.7 S21 54.4 | 175 02.8 S 4 44.4
U
E 6 | 184 40.9 | 265 43.9 S23 48.0 | 316 39.7 S17 14.6 | 291 51.6 S21 54.4 | 190 05.2 S 4 44.4
S 7 | 199 43.4 | 280 43.0 S23 47.9 | 331 40.5 S17 15.1 | 306 53.5 S21 54.5 | 205 07.5 S 4 44.3
D 8 | 214 45.8 | 295 42.0 S23 47.8 | 346 41.4 S17 15.5 | 321 55.3 S21 54.6 | 220 09.9 S 4 44.2
A 9 | 229 48.3 | 310 41.0 S23 47.6 | 1 42.2 S17 16.0 | 336 57.2 S21 54.6 | 235 12.2 S 4 44.2
Y 10 | 244 50.8 | 325 40.0 S23 47.5 | 16 43.0 S17 16.5 | 351 59.1 S21 54.7 | 250 14.6 S 4 44.1
11 | 259 53.2 | 340 39.1 S23 47.4 | 31 43.8 S17 16.9 | 7 01.0 S21 54.8 | 265 16.9 S 4 44.1
12 | 274 55.7 | 355 38.1 S23 47.3 | 46 44.6 S17 17.4 | 22 02.9 S21 54.8 | 280 19.2 S 4 44.0
13 | 289 58.1 | 10 37.1 S23 47.2 | 61 45.4 S17 17.8 | 37 04.8 S21 54.9 | 295 21.6 S 4 43.9
14 | 305 00.6 | 25 36.2 S23 47.1 | 76 46.2 S17 18.3 | 52 06.6 S21 55.0 | 310 23.9 S 4 43.9
15 | 320 03.1 | 40 35.2 S23 47.0 | 91 47.1 S17 18.7 | 67 08.5 S21 55.0 | 325 26.3 S 4 43.8
16 | 335 05.5 | 55 34.2 S23 46.9 | 106 47.9 S17 19.2 | 82 10.4 S21 55.1 | 340 28.6 S 4 43.8
17 | 350 08.0 | 70 33.2 S23 46.7 | 121 48.7 S17 19.6 | 97 12.3 S21 55.2 | 355 31.0 S 4 43.7
18 | 5 10.5 | 85 32.3 S23 46.6 | 136 49.5 S17 20.1 | 112 14.2 S21 55.2 | 10 33.3 S 4 43.6
19 | 20 12.9 | 100 31.3 S23 46.5 | 151 50.3 S17 20.5 | 127 16.0 S21 55.3 | 25 35.6 S 4 43.6
20 | 35 15.4 | 115 30.3 S23 46.4 | 166 51.1 S17 21.0 | 142 17.9 S21 55.4 | 40 38.0 S 4 43.5
21 | 50 17.9 | 130 29.4 S23 46.3 | 181 51.9 S17 21.4 | 157 19.8 S21 55.4 | 55 40.3 S 4 43.5
22 | 65 20.3 | 145 28.4 S23 46.1 | 196 52.8 S17 21.9 | 172 21.7 S21 55.5 | 70 42.7 S 4 43.4
23 | 80 22.8 | 160 27.4 S23 46.0 | 211 53.6 S17 22.4 | 187 23.6 S21 55.5 | 85 45.0 S 4 43.3
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| v -1.0 d 0.1 | v 0.8 d 0.5 | v 1.9 d 0.1 | v 2.3 d 0.1
2113 DEC. 24, 25, 26 (SUN, MON, TUE)
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| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
24 0 | 180 14.1 S23 24.5 | 339 58.4 4.5 N24 25.9 2.5 59.2 | Acamar 314 21.0 S39 51.4
1 | 195 13.8 S23 24.5 | 354 22.0 4.6 N24 23.3 2.7 59.2 | Achernar 334 30.6 S56 40.0
2 | 210 13.5 S23 24.4 | 8 45.6 4.7 N24 20.5 2.8 59.1 | Acrux 171 45.2 S63 43.3
3 | 225 13.2 S23 24.4 | 23 09.4 4.7 N24 17.5 3.0 59.1 | Adhara 254 13.1 S29 07.8
4 | 240 12.9 S23 24.4 | 37 33.2 4.8 N24 14.3 3.1 59.1 | Albireo 66 10.7 N28 12.2
S 5 | 255 12.5 S23 24.3 | 51 57.1 4.9 N24 11.1 3.3 59.0 |
U | | | Aldebaran 289 22.8 N16 43.9
N 6 | 270 12.2 S23 24.3 | 66 21.0 5.0 N24 07.6 3.5 59.0 | Alioth 165 14.9 N55 20.4
D 7 | 285 11.9 S23 24.2 | 80 45.1 5.0 N24 04.0 3.6 59.0 | Alkaid 151 59.9 N48 44.7
A 8 | 300 11.6 S23 24.2 | 95 09.2 5.1 N24 00.2 3.8 58.9 | Al Na-ir 26 09.8 S46 24.7
Y 9 | 315 11.3 S23 24.1 | 109 33.4 5.2 N23 56.3 3.9 58.9 | Alnilam 274 29.8 S 1 08.1
10 | 330 11.0 S23 24.1 | 123 57.7 5.3 N23 52.2 4.1 58.9 |
11 | 345 10.7 S23 24.0 | 138 22.1 5.4 N23 48.0 4.2 58.8 | Alphard 216 42.1 S 9 09.3
| | | Alphecca 125 07.7 N26 20.1
12 | 0 10.4 S23 24.0 | 152 46.5 5.5 N23 43.6 4.4 58.8 | Alpheratz 356 25.7 N29 43.2
13 | 15 10.1 S23 23.9 | 167 11.1 5.6 N23 39.1 4.5 58.8 | Altair 60 55.3 N 9 10.4
14 | 30 09.8 S23 23.9 | 181 35.7 5.6 N23 34.5 4.7 58.7 | Ankaa 352 01.6 S41 41.7
15 | 45 09.5 S23 23.8 | 196 00.5 5.7 N23 29.6 4.8 58.7 |
16 | 60 09.1 S23 23.8 | 210 25.3 5.8 N23 24.7 5.0 58.7 | Antares 110 54.4 S26 40.6
17 | 75 08.8 S23 23.7 | 224 50.3 5.9 N23 19.6 5.1 58.6 | Arcturus 144 47.4 N18 35.5
| | | Atria 104 49.4 S69 13.4
18 | 90 08.5 S23 23.7 | 239 15.3 6.0 N23 14.3 5.2 58.6 | Avior 233 46.8 S59 52.5
19 | 105 08.2 S23 23.6 | 253 40.4 6.1 N23 08.9 5.4 58.6 | Bellatrix 277 11.1 N 6 26.8
20 | 120 07.9 S23 23.6 | 268 05.6 6.2 N23 03.4 5.5 58.5 |
21 | 135 07.6 S23 23.5 | 282 30.9 6.3 N22 57.8 5.7 58.5 | Betelgeuse 269 39.7 N 7 25.3
22 | 150 07.3 S23 23.5 | 296 56.4 6.4 N22 52.0 5.8 58.5 | Canopus 263 22.2 S52 45.6
23 | 165 07.0 S23 23.4 | 311 21.9 6.5 N22 46.0 5.9 58.4 | Capella 278 43.0 N46 06.4
------+-------------------+----------------------------------| Castor 244 31.9 N31 37.9
25 0 | 180 06.7 S23 23.3 | 325 47.5 6.6 N22 40.0 6.1 58.4 | Deneb 48 40.7 N45 41.5
1 | 195 06.4 S23 23.3 | 340 13.2 6.7 N22 33.8 6.2 58.3 |
2 | 210 06.1 S23 23.2 | 354 39.1 6.8 N22 27.4 6.3 58.3 | Denebola 181 17.1 N13 56.1
3 | 225 05.8 S23 23.2 | 9 05.0 6.9 N22 21.0 6.5 58.3 | Diphda 347 40.6 S17 22.0
4 | 240 05.4 S23 23.1 | 23 31.0 7.0 N22 14.4 6.6 58.2 | Dubhe 192 19.6 N61 07.8
M 5 | 255 05.1 S23 23.0 | 37 57.2 7.1 N22 07.7 6.7 58.2 | Elnath 276 37.3 N28 41.7
O | | | Eltanin 90 11.8 N51 28.6
N 6 | 270 04.8 S23 23.0 | 52 23.4 7.2 N22 00.8 6.8 58.2 |
D 7 | 285 04.5 S23 22.9 | 66 49.8 7.4 N21 53.9 7.0 58.1 | Enif 32 33.6 N10 24.0
A 8 | 300 04.2 S23 22.9 | 81 16.2 7.5 N21 46.8 7.1 58.1 | Fomalhaut 14 01.4 S29 01.3
Y 9 | 315 03.9 S23 22.8 | 95 42.8 7.6 N21 39.6 7.2 58.1 | Gacrux 170 37.2 S57 44.6
10 | 330 03.6 S23 22.7 | 110 09.5 7.7 N21 32.2 7.3 58.0 | Gienah 174 35.0 S18 10.2
11 | 345 03.3 S23 22.7 | 124 36.3 7.8 N21 24.8 7.4 58.0 | Hadar 147 01.5 S60 54.7
| | |
12 | 0 03.0 S23 22.6 | 139 03.2 7.9 N21 17.2 7.6 57.9 | Hamal 326 35.8 N23 59.9
13 | 15 02.7 S23 22.5 | 153 30.2 8.0 N21 09.6 7.7 57.9 | Kaus Austr. 82 04.7 S34 19.5
14 | 30 02.4 S23 22.4 | 167 57.3 8.1 N21 01.8 7.8 57.9 | Kochab 137 23.7 N73 41.2
15 | 45 02.1 S23 22.4 | 182 24.5 8.2 N20 53.9 7.9 57.8 | Markab 12 23.6 N15 49.1
16 | 60 01.7 S23 22.3 | 196 51.9 8.3 N20 45.9 8.0 57.8 | Menkar 312 56.2 N 4 31.9
17 | 75 01.4 S23 22.2 | 211 19.3 8.4 N20 37.8 8.1 57.8 |
| | | Menkent 146 39.2 S36 55.4
18 | 90 01.1 S23 22.2 | 225 46.9 8.6 N20 29.6 8.2 57.7 | Miaplacidus 221 22.9 S70 10.9
19 | 105 00.8 S23 22.1 | 240 14.5 8.7 N20 21.3 8.3 57.7 | Mirfak 306 52.3 N50 15.7
20 | 120 00.5 S23 22.0 | 254 42.3 8.8 N20 12.8 8.4 57.6 | Nunki 74 25.7 S26 08.9
21 | 135 00.2 S23 21.9 | 269 10.2 8.9 N20 04.3 8.5 57.6 | Peacock 51 21.7 S56 22.0
22 | 149 59.9 S23 21.9 | 283 38.2 9.0 N19 55.7 8.6 57.6 |
23 | 164 59.6 S23 21.8 | 298 06.3 9.1 N19 47.0 8.7 57.5 | Polaris 293 39.7 N89 45.7
------+-------------------+----------------------------------| Pollux 241 55.7 N27 44.6
26 0 | 179 59.3 S23 21.7 | 312 34.5 9.2 N19 38.1 8.8 57.5 | Procyon 243 40.9 N 4 55.7
1 | 194 59.0 S23 21.6 | 327 02.8 9.3 N19 29.2 8.9 57.5 | Rasalhague 94 57.1 N12 29.0
2 | 209 58.7 S23 21.5 | 341 31.3 9.4 N19 20.2 9.0 57.4 | Regulus 206 23.5 N11 24.5
3 | 224 58.4 S23 21.5 | 355 59.8 9.5 N19 11.1 9.1 57.4 |
4 | 239 58.1 S23 21.4 | 10 28.5 9.7 N19 01.9 9.2 57.4 | Rigel 279 59.5 S 8 04.6
T 5 | 254 57.7 S23 21.3 | 24 57.2 9.8 N18 52.6 9.3 57.3 | Rigil Kent 138 09.7 S61 17.7
U | | | Sabik 100 46.8 S15 51.5
E 6 | 269 57.4 S23 21.2 | 39 26.1 9.9 N18 43.3 9.4 57.3 | Schedar 348 14.7 N57 09.8
S 7 | 284 57.1 S23 21.1 | 53 55.1 10.0 N18 33.8 9.5 57.2 | Shaula 94 40.4 S37 10.7
D 8 | 299 56.8 S23 21.0 | 68 24.2 10.1 N18 24.2 9.5 57.2 |
A 9 | 314 56.5 S23 21.0 | 82 53.4 10.2 N18 14.6 9.6 57.2 | Sirius 257 27.2 S16 52.6
Y 10 | 329 56.2 S23 20.9 | 97 22.7 10.3 N18 04.9 9.7 57.1 | Spica 157 12.2 S11 45.1
11 | 344 55.9 S23 20.8 | 111 52.1 10.4 N17 55.1 9.8 57.1 | Suhail 221 56.8 S43 53.5
| | | Vega 79 48.5 N38 53.6
12 | 359 55.6 S23 20.7 | 126 21.6 10.5 N17 45.2 9.9 57.1 | Zuben-ubi 135 45.5 S16 30.5
13 | 14 55.3 S23 20.6 | 140 51.2 10.6 N17 35.3 9.9 57.0 |
14 | 29 55.0 S23 20.5 | 155 20.9 10.7 N17 25.3 10.0 57.0 |
15 | 44 54.7 S23 20.4 | 169 50.7 10.8 N17 15.2 10.1 57.0 |
16 | 59 54.4 S23 20.3 | 184 20.7 10.9 N17 05.0 10.2 56.9 |
17 | 74 54.1 S23 20.2 | 198 50.7 11.0 N16 54.7 10.2 56.9 |
| | |
18 | 89 53.8 S23 20.2 | 213 20.8 11.1 N16 44.4 10.3 56.8 |
19 | 104 53.4 S23 20.1 | 227 51.1 11.2 N16 34.0 10.4 56.8 |
20 | 119 53.1 S23 20.0 | 242 21.4 11.3 N16 23.6 10.5 56.8 |
21 | 134 52.8 S23 19.9 | 256 51.8 11.4 N16 13.1 10.5 56.7 |
22 | 149 52.5 S23 19.8 | 271 22.4 11.5 N16 02.5 10.6 56.7 |
23 | 164 52.2 S23 19.7 | 285 53.0 11.6 N15 51.8 10.7 56.7 |
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|S.D. 16.3 d 0.1 | S.D. 16.0 15.8 15.5 |
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