
2045 DEC. 18, 19, 20 (MON, TUE, WED)
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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 | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
18 0 | 87 01.1 | 157 12.7 S22 05.3 | 257 53.7 S 1 52.2 | 108 19.6 S10 10.4 | 192 23.4 S21 14.2
1 | 102 03.6 | 172 15.9 S22 04.8 | 272 55.0 S 1 52.7 | 123 21.7 S10 10.3 | 207 25.5 S21 14.2
2 | 117 06.1 | 187 19.2 S22 04.3 | 287 56.2 S 1 53.2 | 138 23.8 S10 10.1 | 222 27.7 S21 14.2
3 | 132 08.5 | 202 22.4 S22 03.8 | 302 57.5 S 1 53.7 | 153 26.0 S10 10.0 | 237 29.8 S21 14.3
4 | 147 11.0 | 217 25.6 S22 03.3 | 317 58.8 S 1 54.2 | 168 28.1 S10 09.8 | 252 32.0 S21 14.3
M 5 | 162 13.4 | 232 28.8 S22 02.8 | 333 00.1 S 1 54.6 | 183 30.2 S10 09.7 | 267 34.1 S21 14.3
O
N 6 | 177 15.9 | 247 32.1 S22 02.3 | 348 01.4 S 1 55.1 | 198 32.3 S10 09.5 | 282 36.3 S21 14.4
D 7 | 192 18.4 | 262 35.3 S22 01.8 | 3 02.6 S 1 55.6 | 213 34.4 S10 09.4 | 297 38.4 S21 14.4
A 8 | 207 20.8 | 277 38.6 S22 01.3 | 18 03.9 S 1 56.1 | 228 36.5 S10 09.2 | 312 40.6 S21 14.4
Y 9 | 222 23.3 | 292 41.8 S22 00.8 | 33 05.2 S 1 56.6 | 243 38.6 S10 09.1 | 327 42.7 S21 14.5
10 | 237 25.8 | 307 45.1 S22 00.3 | 48 06.5 S 1 57.1 | 258 40.7 S10 08.9 | 342 44.9 S21 14.5
11 | 252 28.2 | 322 48.3 S21 59.8 | 63 07.8 S 1 57.5 | 273 42.8 S10 08.8 | 357 47.0 S21 14.5
12 | 267 30.7 | 337 51.6 S21 59.3 | 78 09.1 S 1 58.0 | 288 44.9 S10 08.6 | 12 49.2 S21 14.6
13 | 282 33.2 | 352 54.8 S21 58.8 | 93 10.3 S 1 58.5 | 303 47.1 S10 08.5 | 27 51.3 S21 14.6
14 | 297 35.6 | 7 58.1 S21 58.3 | 108 11.6 S 1 59.0 | 318 49.2 S10 08.4 | 42 53.5 S21 14.6
15 | 312 38.1 | 23 01.4 S21 57.8 | 123 12.9 S 1 59.5 | 333 51.3 S10 08.2 | 57 55.6 S21 14.6
16 | 327 40.6 | 38 04.7 S21 57.3 | 138 14.2 S 1 60.0 | 348 53.4 S10 08.1 | 72 57.8 S21 14.7
17 | 342 43.0 | 53 07.9 S21 56.8 | 153 15.5 S 2 00.4 | 3 55.5 S10 07.9 | 87 60.0 S21 14.7
18 | 357 45.5 | 68 11.2 S21 56.3 | 168 16.7 S 2 00.9 | 18 57.6 S10 07.8 | 103 02.1 S21 14.7
19 | 12 47.9 | 83 14.5 S21 55.8 | 183 18.0 S 2 01.4 | 33 59.7 S10 07.6 | 118 04.3 S21 14.8
20 | 27 50.4 | 98 17.8 S21 55.3 | 198 19.3 S 2 01.9 | 49 01.8 S10 07.5 | 133 06.4 S21 14.8
21 | 42 52.9 | 113 21.1 S21 54.8 | 213 20.6 S 2 02.4 | 64 03.9 S10 07.3 | 148 08.6 S21 14.8
22 | 57 55.3 | 128 24.4 S21 54.2 | 228 21.9 S 2 02.8 | 79 06.0 S10 07.2 | 163 10.7 S21 14.9
23 | 72 57.8 | 143 27.7 S21 53.7 | 243 23.2 S 2 03.3 | 94 08.1 S10 07.0 | 178 12.9 S21 14.9
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19 0 | 88 00.3 | 158 31.1 S21 53.2 | 258 24.5 S 2 03.8 | 109 10.2 S10 06.9 | 193 15.0 S21 14.9
1 | 103 02.7 | 173 34.4 S21 52.7 | 273 25.7 S 2 04.3 | 124 12.3 S10 06.7 | 208 17.2 S21 15.0
2 | 118 05.2 | 188 37.7 S21 52.2 | 288 27.0 S 2 04.8 | 139 14.4 S10 06.6 | 223 19.3 S21 15.0
3 | 133 07.7 | 203 41.0 S21 51.7 | 303 28.3 S 2 05.2 | 154 16.6 S10 06.4 | 238 21.5 S21 15.0
4 | 148 10.1 | 218 44.4 S21 51.2 | 318 29.6 S 2 05.7 | 169 18.7 S10 06.3 | 253 23.6 S21 15.1
T 5 | 163 12.6 | 233 47.7 S21 50.7 | 333 30.9 S 2 06.2 | 184 20.8 S10 06.1 | 268 25.8 S21 15.1
U
E 6 | 178 15.1 | 248 51.0 S21 50.2 | 348 32.2 S 2 06.7 | 199 22.9 S10 06.0 | 283 27.9 S21 15.1
S 7 | 193 17.5 | 263 54.4 S21 49.7 | 3 33.5 S 2 07.2 | 214 25.0 S10 05.9 | 298 30.1 S21 15.2
D 8 | 208 20.0 | 278 57.7 S21 49.2 | 18 34.7 S 2 07.6 | 229 27.1 S10 05.7 | 313 32.2 S21 15.2
A 9 | 223 22.4 | 294 01.1 S21 48.7 | 33 36.0 S 2 08.1 | 244 29.2 S10 05.6 | 328 34.4 S21 15.2
Y 10 | 238 24.9 | 309 04.5 S21 48.2 | 48 37.3 S 2 08.6 | 259 31.3 S10 05.4 | 343 36.5 S21 15.2
11 | 253 27.4 | 324 07.8 S21 47.7 | 63 38.6 S 2 09.1 | 274 33.4 S10 05.3 | 358 38.7 S21 15.3
12 | 268 29.8 | 339 11.2 S21 47.2 | 78 39.9 S 2 09.6 | 289 35.5 S10 05.1 | 13 40.9 S21 15.3
13 | 283 32.3 | 354 14.6 S21 46.7 | 93 41.2 S 2 10.0 | 304 37.6 S10 05.0 | 28 43.0 S21 15.3
14 | 298 34.8 | 9 17.9 S21 46.2 | 108 42.5 S 2 10.5 | 319 39.7 S10 04.8 | 43 45.2 S21 15.4
15 | 313 37.2 | 24 21.3 S21 45.7 | 123 43.8 S 2 11.0 | 334 41.8 S10 04.7 | 58 47.3 S21 15.4
16 | 328 39.7 | 39 24.7 S21 45.1 | 138 45.0 S 2 11.5 | 349 43.9 S10 04.5 | 73 49.5 S21 15.4
17 | 343 42.2 | 54 28.1 S21 44.6 | 153 46.3 S 2 11.9 | 4 46.0 S10 04.4 | 88 51.6 S21 15.5
18 | 358 44.6 | 69 31.5 S21 44.1 | 168 47.6 S 2 12.4 | 19 48.1 S10 04.2 | 103 53.8 S21 15.5
19 | 13 47.1 | 84 34.9 S21 43.6 | 183 48.9 S 2 12.9 | 34 50.2 S10 04.1 | 118 55.9 S21 15.5
20 | 28 49.5 | 99 38.3 S21 43.1 | 198 50.2 S 2 13.4 | 49 52.3 S10 03.9 | 133 58.1 S21 15.6
21 | 43 52.0 | 114 41.7 S21 42.6 | 213 51.5 S 2 13.9 | 64 54.4 S10 03.8 | 149 00.2 S21 15.6
22 | 58 54.5 | 129 45.1 S21 42.1 | 228 52.8 S 2 14.3 | 79 56.5 S10 03.6 | 164 02.4 S21 15.6
23 | 73 56.9 | 144 48.5 S21 41.6 | 243 54.1 S 2 14.8 | 94 58.6 S10 03.5 | 179 04.5 S21 15.7
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20 0 | 88 59.4 | 159 52.0 S21 41.1 | 258 55.4 S 2 15.3 | 110 00.7 S10 03.3 | 194 06.7 S21 15.7
1 | 104 01.9 | 174 55.4 S21 40.6 | 273 56.6 S 2 15.8 | 125 02.8 S10 03.2 | 209 08.8 S21 15.7
2 | 119 04.3 | 189 58.8 S21 40.1 | 288 57.9 S 2 16.3 | 140 04.9 S10 03.0 | 224 11.0 S21 15.8
3 | 134 06.8 | 205 02.2 S21 39.6 | 303 59.2 S 2 16.7 | 155 07.0 S10 02.9 | 239 13.1 S21 15.8
4 | 149 09.3 | 220 05.7 S21 39.1 | 319 00.5 S 2 17.2 | 170 09.1 S10 02.7 | 254 15.3 S21 15.8
W 5 | 164 11.7 | 235 09.1 S21 38.6 | 334 01.8 S 2 17.7 | 185 11.2 S10 02.6 | 269 17.5 S21 15.8
E
D 6 | 179 14.2 | 250 12.6 S21 38.1 | 349 03.1 S 2 18.2 | 200 13.3 S10 02.4 | 284 19.6 S21 15.9
N 7 | 194 16.7 | 265 16.0 S21 37.5 | 4 04.4 S 2 18.6 | 215 15.4 S10 02.3 | 299 21.8 S21 15.9
E 8 | 209 19.1 | 280 19.5 S21 37.0 | 19 05.7 S 2 19.1 | 230 17.5 S10 02.1 | 314 23.9 S21 15.9
S 9 | 224 21.6 | 295 22.9 S21 36.5 | 34 07.0 S 2 19.6 | 245 19.6 S10 02.0 | 329 26.1 S21 16.0
D 10 | 239 24.0 | 310 26.4 S21 36.0 | 49 08.3 S 2 20.1 | 260 21.7 S10 01.8 | 344 28.2 S21 16.0
A 11 | 254 26.5 | 325 29.9 S21 35.5 | 64 09.6 S 2 20.5 | 275 23.8 S10 01.7 | 359 30.4 S21 16.0
Y
12 | 269 29.0 | 340 33.3 S21 35.0 | 79 10.8 S 2 21.0 | 290 25.9 S10 01.5 | 14 32.5 S21 16.1
13 | 284 31.4 | 355 36.8 S21 34.5 | 94 12.1 S 2 21.5 | 305 28.0 S10 01.4 | 29 34.7 S21 16.1
14 | 299 33.9 | 10 40.3 S21 34.0 | 109 13.4 S 2 22.0 | 320 30.1 S10 01.2 | 44 36.8 S21 16.1
15 | 314 36.4 | 25 43.8 S21 33.5 | 124 14.7 S 2 22.4 | 335 32.2 S10 01.1 | 59 39.0 S21 16.2
16 | 329 38.8 | 40 47.3 S21 33.0 | 139 16.0 S 2 22.9 | 350 34.3 S10 00.9 | 74 41.1 S21 16.2
17 | 344 41.3 | 55 50.8 S21 32.5 | 154 17.3 S 2 23.4 | 5 36.4 S10 00.8 | 89 43.3 S21 16.2
18 | 359 43.8 | 70 54.3 S21 32.0 | 169 18.6 S 2 23.9 | 20 38.5 S10 00.6 | 104 45.4 S21 16.2
19 | 14 46.2 | 85 57.8 S21 31.5 | 184 19.9 S 2 24.3 | 35 40.6 S10 00.5 | 119 47.6 S21 16.3
20 | 29 48.7 | 101 01.3 S21 31.0 | 199 21.2 S 2 24.8 | 50 42.7 S10 00.3 | 134 49.8 S21 16.3
21 | 44 51.2 | 116 04.8 S21 30.4 | 214 22.5 S 2 25.3 | 65 44.8 S10 00.2 | 149 51.9 S21 16.3
22 | 59 53.6 | 131 08.3 S21 29.9 | 229 23.8 S 2 25.8 | 80 46.9 S10 00.0 | 164 54.1 S21 16.4
23 | 74 56.1 | 146 11.8 S21 29.4 | 244 25.1 S 2 26.2 | 95 49.0 S 9 59.9 | 179 56.2 S21 16.4
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| v 3.4 d 0.5 | v 1.3 d 0.5 | v 2.1 d 0.1 | v 2.2 d 0.0
2045 DEC. 18, 19, 20 (MON, TUE, WED)
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| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
18 0 | 180 52.9 S23 23.2 | 77 15.8 15.7 N 8 55.9 13.3 55.0 | Acamar 314 59.4 S40 07.4
1 | 195 52.5 S23 23.3 | 91 50.5 15.7 N 9 09.2 13.3 55.1 | Achernar 335 08.1 S57 00.4
2 | 210 52.2 S23 23.4 | 106 25.1 15.6 N 9 22.5 13.3 55.1 | Acrux 172 42.4 S63 20.9
3 | 225 51.9 S23 23.4 | 120 59.7 15.6 N 9 35.7 13.3 55.1 | Adhara 254 53.0 S29 02.1
4 | 240 51.6 S23 23.5 | 135 34.2 15.5 N 9 49.0 13.2 55.1 | Albireo 66 51.6 N28 03.5
M 5 | 255 51.3 S23 23.6 | 150 08.6 15.4 N10 02.2 13.2 55.2 |
O | | | Aldebaran 290 21.0 N16 36.1
N 6 | 270 51.0 S23 23.6 | 164 43.0 15.4 N10 15.3 13.2 55.2 | Alioth 165 59.2 N55 42.3
D 7 | 285 50.7 S23 23.7 | 179 17.3 15.3 N10 28.5 13.1 55.2 | Alkaid 152 39.8 N49 04.7
A 8 | 300 50.4 S23 23.8 | 193 51.6 15.3 N10 41.6 13.1 55.2 | Al Na-ir 27 13.2 S46 44.4
Y 9 | 315 50.1 S23 23.8 | 208 25.8 15.2 N10 54.7 13.1 55.2 | Alnilam 275 21.2 S 1 10.4
10 | 330 49.8 S23 23.9 | 222 59.9 15.1 N11 07.7 13.1 55.3 |
11 | 345 49.5 S23 23.9 | 237 33.9 15.0 N11 20.7 13.0 55.3 | Alphard 217 31.9 S 8 51.5
| | | Alphecca 125 50.6 N26 33.5
12 | 0 49.2 S23 24.0 | 252 07.9 15.0 N11 33.7 13.0 55.3 | Alpheratz 357 18.3 N29 20.9
13 | 15 48.9 S23 24.1 | 266 41.8 14.9 N11 46.7 13.0 55.3 | Altair 61 44.8 N 8 59.5
14 | 30 48.6 S23 24.1 | 281 15.6 14.8 N11 59.6 12.9 55.4 | Ankaa 352 51.4 S42 03.6
15 | 45 48.2 S23 24.2 | 295 49.4 14.8 N12 12.5 12.9 55.4 |
16 | 60 47.9 S23 24.2 | 310 23.1 14.7 N12 25.3 12.8 55.4 | Antares 111 56.7 S26 31.9
17 | 75 47.6 S23 24.3 | 324 56.7 14.6 N12 38.1 12.8 55.5 | Arcturus 145 33.6 N18 56.5
| | | Atria 106 37.2 S69 06.5
18 | 90 47.3 S23 24.3 | 339 30.2 14.5 N12 50.9 12.8 55.5 | Avior 234 07.7 S59 39.3
19 | 105 47.0 S23 24.4 | 354 03.7 14.4 N13 03.6 12.7 55.5 | Bellatrix 278 05.5 N 6 23.4
20 | 120 46.7 S23 24.4 | 8 37.0 14.4 N13 16.3 12.7 55.5 |
21 | 135 46.4 S23 24.5 | 23 10.3 14.3 N13 29.0 12.6 55.6 | Betelgeuse 270 34.5 N 7 24.9
22 | 150 46.1 S23 24.5 | 37 43.5 14.2 N13 41.6 12.6 55.6 | Canopus 263 44.7 S52 43.2
23 | 165 45.8 S23 24.6 | 52 16.6 14.1 N13 54.1 12.6 55.6 | Capella 279 57.9 N46 02.6
------+-------------------+----------------------------------| Castor 245 36.4 N31 47.1
19 0 | 180 45.5 S23 24.6 | 66 49.7 14.0 N14 06.6 12.5 55.6 | Deneb 49 15.3 N45 26.9
1 | 195 45.2 S23 24.7 | 81 22.6 13.9 N14 19.1 12.5 55.7 |
2 | 210 44.9 S23 24.7 | 95 55.5 13.9 N14 31.5 12.4 55.7 | Denebola 182 08.7 N14 18.7
3 | 225 44.6 S23 24.8 | 110 28.2 13.8 N14 43.9 12.4 55.7 | Diphda 348 31.3 S17 44.1
4 | 240 44.2 S23 24.8 | 125 00.9 13.7 N14 56.2 12.3 55.8 | Dubhe 193 21.4 N61 29.8
T 5 | 255 43.9 S23 24.9 | 139 33.5 13.6 N15 08.5 12.3 55.8 | Elnath 277 41.4 N28 38.7
U | | | Eltanin 90 35.4 N51 28.9
E 6 | 270 43.6 S23 24.9 | 154 06.0 13.5 N15 20.7 12.2 55.8 |
S 7 | 285 43.3 S23 25.0 | 168 38.4 13.4 N15 32.9 12.2 55.8 | Enif 33 23.3 N10 05.3
D 8 | 300 43.0 S23 25.0 | 183 10.8 13.3 N15 45.0 12.1 55.9 | Fomalhaut 14 57.1 S29 22.8
A 9 | 315 42.7 S23 25.1 | 197 43.0 13.2 N15 57.0 12.1 55.9 | Gacrux 171 34.0 S57 22.0
Y 10 | 330 42.4 S23 25.1 | 212 15.1 13.1 N16 09.0 12.0 55.9 | Gienah 175 27.3 S17 47.8
11 | 345 42.1 S23 25.1 | 226 47.2 13.0 N16 21.0 11.9 56.0 | Hadar 148 13.8 S60 35.4
| | |
12 | 0 41.8 S23 25.2 | 241 19.1 12.9 N16 32.8 11.9 56.0 | Hamal 327 33.0 N23 41.0
13 | 15 41.5 S23 25.2 | 255 50.9 12.8 N16 44.7 11.8 56.0 | Kaus Austr. 83 11.9 S34 21.7
14 | 30 41.2 S23 25.2 | 270 22.7 12.7 N16 56.4 11.8 56.1 | Kochab 137 21.5 N73 57.7
15 | 45 40.9 S23 25.3 | 284 54.3 12.6 N17 08.1 11.7 56.1 | Markab 13 14.1 N15 27.3
16 | 60 40.5 S23 25.3 | 299 25.8 12.5 N17 19.7 11.6 56.1 | Menkar 313 49.2 N 4 16.2
17 | 75 40.2 S23 25.4 | 313 57.3 12.4 N17 31.3 11.6 56.1 |
| | | Menkent 147 39.1 S36 35.7
18 | 90 39.9 S23 25.4 | 328 28.6 12.3 N17 42.8 11.5 56.2 | Miaplacidus 221 34.1 S69 54.2
19 | 105 39.6 S23 25.4 | 342 59.8 12.2 N17 54.2 11.4 56.2 | Mirfak 308 05.1 N50 01.6
20 | 120 39.3 S23 25.5 | 357 31.0 12.1 N18 05.6 11.4 56.2 | Nunki 75 28.4 S26 14.3
21 | 135 39.0 S23 25.5 | 12 02.0 12.0 N18 16.9 11.3 56.3 | Peacock 52 41.2 S56 35.3
22 | 150 38.7 S23 25.5 | 26 32.9 11.9 N18 28.1 11.2 56.3 |
23 | 165 38.4 S23 25.5 | 41 03.7 11.8 N18 39.2 11.1 56.3 | Polaris 310 47.3 N89 27.5
------+-------------------+----------------------------------| Pollux 242 57.5 N27 54.7
20 0 | 180 38.1 S23 25.6 | 55 34.4 11.7 N18 50.3 11.1 56.4 | Procyon 244 33.9 N 5 06.3
1 | 195 37.8 S23 25.6 | 70 05.0 11.6 N19 01.3 11.0 56.4 | Rasalhague 95 44.2 N12 31.7
2 | 210 37.5 S23 25.6 | 84 35.4 11.5 N19 12.2 10.9 56.4 | Regulus 207 17.4 N11 44.4
3 | 225 37.2 S23 25.7 | 99 05.8 11.4 N19 23.0 10.8 56.5 |
4 | 240 36.8 S23 25.7 | 113 36.1 11.3 N19 33.8 10.8 56.5 | Rigel 280 48.2 S 8 08.9
W 5 | 255 36.5 S23 25.7 | 128 06.2 11.1 N19 44.4 10.7 56.5 | Rigil Kent 139 19.1 S61 01.3
E | | | Sabik 101 44.9 S15 46.9
D 6 | 270 36.2 S23 25.7 | 142 36.2 11.0 N19 55.0 10.6 56.6 | Schedar 349 12.7 N56 47.7
N 7 | 285 35.9 S23 25.8 | 157 06.2 10.9 N20 05.5 10.5 56.6 | Shaula 95 49.2 S37 08.1
E 8 | 300 35.6 S23 25.8 | 171 36.0 10.8 N20 15.9 10.4 56.6 |
S 9 | 315 35.3 S23 25.8 | 186 05.7 10.7 N20 26.3 10.3 56.7 | Sirius 258 11.9 S16 46.8
D 10 | 330 35.0 S23 25.8 | 200 35.2 10.6 N20 36.5 10.2 56.7 | Spica 158 05.7 S11 24.1
A 11 | 345 34.7 S23 25.8 | 215 04.7 10.5 N20 46.6 10.1 56.7 | Suhail 222 34.3 S43 37.0
Y | | | Vega 80 22.9 N38 49.6
12 | 0 34.4 S23 25.9 | 229 34.0 10.3 N20 56.7 10.0 56.8 | Zuben-ubi 136 40.0 S16 13.9
13 | 15 34.1 S23 25.9 | 244 03.3 10.2 N21 06.6 10.0 56.8 |
14 | 30 33.8 S23 25.9 | 258 32.4 10.1 N21 16.5 9.9 56.8 |
15 | 45 33.4 S23 25.9 | 273 01.4 10.0 N21 26.3 9.8 56.9 |
16 | 60 33.1 S23 25.9 | 287 30.3 9.9 N21 35.9 9.7 56.9 |
17 | 75 32.8 S23 26.0 | 301 59.0 9.8 N21 45.5 9.6 56.9 |
| | |
18 | 90 32.5 S23 26.0 | 316 27.7 9.6 N21 54.9 9.5 57.0 |
19 | 105 32.2 S23 26.0 | 330 56.2 9.5 N22 04.3 9.4 57.0 |
20 | 120 31.9 S23 26.0 | 345 24.6 9.4 N22 13.5 9.2 57.0 |
21 | 135 31.6 S23 26.0 | 359 52.9 9.3 N22 22.7 9.1 57.1 |
22 | 150 31.3 S23 26.0 | 14 21.1 9.2 N22 31.7 9.0 57.1 |
23 | 165 31.0 S23 26.0 | 28 49.1 9.1 N22 40.6 8.9 57.1 |
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|S.D. 16.3 d 0.0 | S.D. 15.1 15.3 15.5 |
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