
2820 DEC. 30, 31, 2821 JAN. 1 (WED, THU, FRI)
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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 | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
30 0 | 99 10.0 | 139 60.0 S17 49.4 | 246 21.2 S11 44.1 | 322 39.9 N17 02.5 | 95 58.6 S 1 04.9
1 | 114 12.4 | 154 59.4 S17 48.5 | 261 22.2 S11 44.6 | 337 42.6 N17 02.6 | 111 01.0 S 1 04.8
2 | 129 14.9 | 169 58.8 S17 47.6 | 276 23.3 S11 45.1 | 352 45.3 N17 02.6 | 126 03.3 S 1 04.8
3 | 144 17.3 | 184 58.3 S17 46.6 | 291 24.4 S11 45.6 | 7 47.9 N17 02.7 | 141 05.7 S 1 04.7
4 | 159 19.8 | 199 57.7 S17 45.7 | 306 25.5 S11 46.0 | 22 50.6 N17 02.8 | 156 08.1 S 1 04.7
W 5 | 174 22.3 | 214 57.1 S17 44.8 | 321 26.6 S11 46.5 | 37 53.3 N17 02.8 | 171 10.4 S 1 04.6
E
D 6 | 189 24.7 | 229 56.6 S17 43.9 | 336 27.7 S11 47.0 | 52 56.0 N17 02.9 | 186 12.8 S 1 04.6
N 7 | 204 27.2 | 244 56.0 S17 42.9 | 351 28.7 S11 47.5 | 67 58.7 N17 03.0 | 201 15.2 S 1 04.5
E 8 | 219 29.7 | 259 55.4 S17 42.0 | 6 29.8 S11 48.0 | 83 01.4 N17 03.1 | 216 17.5 S 1 04.5
S 9 | 234 32.1 | 274 54.9 S17 41.1 | 21 30.9 S11 48.4 | 98 04.1 N17 03.1 | 231 19.9 S 1 04.4
D 10 | 249 34.6 | 289 54.3 S17 40.1 | 36 32.0 S11 48.9 | 113 06.8 N17 03.2 | 246 22.3 S 1 04.4
A 11 | 264 37.1 | 304 53.7 S17 39.2 | 51 33.1 S11 49.4 | 128 09.5 N17 03.3 | 261 24.6 S 1 04.3
Y
12 | 279 39.5 | 319 53.2 S17 38.2 | 66 34.1 S11 49.9 | 143 12.2 N17 03.4 | 276 27.0 S 1 04.2
13 | 294 42.0 | 334 52.6 S17 37.3 | 81 35.2 S11 50.4 | 158 14.8 N17 03.4 | 291 29.4 S 1 04.2
14 | 309 44.5 | 349 52.1 S17 36.4 | 96 36.3 S11 50.8 | 173 17.5 N17 03.5 | 306 31.7 S 1 04.1
15 | 324 46.9 | 4 51.5 S17 35.4 | 111 37.4 S11 51.3 | 188 20.2 N17 03.6 | 321 34.1 S 1 04.1
16 | 339 49.4 | 19 50.9 S17 34.5 | 126 38.5 S11 51.8 | 203 22.9 N17 03.6 | 336 36.5 S 1 04.0
17 | 354 51.8 | 34 50.4 S17 33.5 | 141 39.5 S11 52.3 | 218 25.6 N17 03.7 | 351 38.8 S 1 04.0
18 | 9 54.3 | 49 49.8 S17 32.6 | 156 40.6 S11 52.8 | 233 28.3 N17 03.8 | 6 41.2 S 1 03.9
19 | 24 56.8 | 64 49.3 S17 31.7 | 171 41.7 S11 53.2 | 248 31.0 N17 03.9 | 21 43.6 S 1 03.9
20 | 39 59.2 | 79 48.7 S17 30.7 | 186 42.8 S11 53.7 | 263 33.7 N17 03.9 | 36 45.9 S 1 03.8
21 | 55 01.7 | 94 48.2 S17 29.8 | 201 43.9 S11 54.2 | 278 36.4 N17 04.0 | 51 48.3 S 1 03.8
22 | 70 04.2 | 109 47.6 S17 28.8 | 216 45.0 S11 54.7 | 293 39.1 N17 04.1 | 66 50.6 S 1 03.7
23 | 85 06.6 | 124 47.0 S17 27.9 | 231 46.0 S11 55.1 | 308 41.8 N17 04.2 | 81 53.0 S 1 03.7
------+----------+-------------------+-------------------+-------------------+--------------------
31 0 | 100 09.1 | 139 46.5 S17 26.9 | 246 47.1 S11 55.6 | 323 44.5 N17 04.2 | 96 55.4 S 1 03.6
1 | 115 11.6 | 154 45.9 S17 26.0 | 261 48.2 S11 56.1 | 338 47.1 N17 04.3 | 111 57.7 S 1 03.6
2 | 130 14.0 | 169 45.4 S17 25.0 | 276 49.3 S11 56.6 | 353 49.8 N17 04.4 | 127 00.1 S 1 03.5
3 | 145 16.5 | 184 44.8 S17 24.1 | 291 50.4 S11 57.1 | 8 52.5 N17 04.5 | 142 02.5 S 1 03.5
4 | 160 18.9 | 199 44.3 S17 23.1 | 306 51.4 S11 57.5 | 23 55.2 N17 04.5 | 157 04.8 S 1 03.4
T 5 | 175 21.4 | 214 43.7 S17 22.2 | 321 52.5 S11 58.0 | 38 57.9 N17 04.6 | 172 07.2 S 1 03.4
H
U 6 | 190 23.9 | 229 43.2 S17 21.2 | 336 53.6 S11 58.5 | 54 00.6 N17 04.7 | 187 09.5 S 1 03.3
R 7 | 205 26.3 | 244 42.6 S17 20.3 | 351 54.7 S11 59.0 | 69 03.3 N17 04.7 | 202 11.9 S 1 03.2
S 8 | 220 28.8 | 259 42.1 S17 19.3 | 6 55.8 S11 59.4 | 84 06.0 N17 04.8 | 217 14.3 S 1 03.2
D 9 | 235 31.3 | 274 41.5 S17 18.4 | 21 56.8 S11 59.9 | 99 08.7 N17 04.9 | 232 16.6 S 1 03.1
A 10 | 250 33.7 | 289 41.0 S17 17.4 | 36 57.9 S12 00.4 | 114 11.4 N17 05.0 | 247 19.0 S 1 03.1
Y 11 | 265 36.2 | 304 40.4 S17 16.5 | 51 59.0 S12 00.9 | 129 14.1 N17 05.0 | 262 21.4 S 1 03.0
12 | 280 38.7 | 319 39.9 S17 15.5 | 67 00.1 S12 01.3 | 144 16.8 N17 05.1 | 277 23.7 S 1 03.0
13 | 295 41.1 | 334 39.3 S17 14.6 | 82 01.2 S12 01.8 | 159 19.5 N17 05.2 | 292 26.1 S 1 02.9
14 | 310 43.6 | 349 38.8 S17 13.6 | 97 02.3 S12 02.3 | 174 22.2 N17 05.3 | 307 28.4 S 1 02.9
15 | 325 46.1 | 4 38.2 S17 12.6 | 112 03.3 S12 02.8 | 189 24.9 N17 05.3 | 322 30.8 S 1 02.8
16 | 340 48.5 | 19 37.7 S17 11.7 | 127 04.4 S12 03.2 | 204 27.6 N17 05.4 | 337 33.2 S 1 02.8
17 | 355 51.0 | 34 37.2 S17 10.7 | 142 05.5 S12 03.7 | 219 30.3 N17 05.5 | 352 35.5 S 1 02.7
18 | 10 53.4 | 49 36.6 S17 09.8 | 157 06.6 S12 04.2 | 234 33.0 N17 05.6 | 7 37.9 S 1 02.7
19 | 25 55.9 | 64 36.1 S17 08.8 | 172 07.7 S12 04.7 | 249 35.7 N17 05.6 | 22 40.2 S 1 02.6
20 | 40 58.4 | 79 35.5 S17 07.8 | 187 08.7 S12 05.1 | 264 38.4 N17 05.7 | 37 42.6 S 1 02.6
21 | 56 00.8 | 94 35.0 S17 06.9 | 202 09.8 S12 05.6 | 279 41.1 N17 05.8 | 52 45.0 S 1 02.5
22 | 71 03.3 | 109 34.5 S17 05.9 | 217 10.9 S12 06.1 | 294 43.8 N17 05.9 | 67 47.3 S 1 02.4
23 | 86 05.8 | 124 33.9 S17 04.9 | 232 12.0 S12 06.6 | 309 46.5 N17 05.9 | 82 49.7 S 1 02.4
------+----------+-------------------+-------------------+-------------------+--------------------
1 0 | 101 08.2 | 139 33.4 S17 04.0 | 247 13.1 S12 07.0 | 324 49.2 N17 06.0 | 97 52.0 S 1 02.3
1 | 116 10.7 | 154 32.8 S17 03.0 | 262 14.2 S12 07.5 | 339 51.9 N17 06.1 | 112 54.4 S 1 02.3
2 | 131 13.2 | 169 32.3 S17 02.0 | 277 15.2 S12 08.0 | 354 54.6 N17 06.2 | 127 56.7 S 1 02.2
3 | 146 15.6 | 184 31.8 S17 01.1 | 292 16.3 S12 08.5 | 9 57.3 N17 06.2 | 142 59.1 S 1 02.2
4 | 161 18.1 | 199 31.2 S17 00.1 | 307 17.4 S12 08.9 | 24 60.0 N17 06.3 | 158 01.5 S 1 02.1
F 5 | 176 20.6 | 214 30.7 S16 59.1 | 322 18.5 S12 09.4 | 40 02.7 N17 06.4 | 173 03.8 S 1 02.1
R
I 6 | 191 23.0 | 229 30.1 S16 58.2 | 337 19.6 S12 09.9 | 55 05.4 N17 06.5 | 188 06.2 S 1 02.0
D 7 | 206 25.5 | 244 29.6 S16 57.2 | 352 20.7 S12 10.3 | 70 08.1 N17 06.5 | 203 08.5 S 1 02.0
A 8 | 221 27.9 | 259 29.1 S16 56.2 | 7 21.7 S12 10.8 | 85 10.8 N17 06.6 | 218 10.9 S 1 01.9
Y 9 | 236 30.4 | 274 28.5 S16 55.3 | 22 22.8 S12 11.3 | 100 13.5 N17 06.7 | 233 13.3 S 1 01.8
10 | 251 32.9 | 289 28.0 S16 54.3 | 37 23.9 S12 11.8 | 115 16.2 N17 06.8 | 248 15.6 S 1 01.8
11 | 266 35.3 | 304 27.5 S16 53.3 | 52 25.0 S12 12.2 | 130 18.9 N17 06.9 | 263 18.0 S 1 01.7
12 | 281 37.8 | 319 27.0 S16 52.3 | 67 26.1 S12 12.7 | 145 21.6 N17 06.9 | 278 20.3 S 1 01.7
13 | 296 40.3 | 334 26.4 S16 51.4 | 82 27.1 S12 13.2 | 160 24.3 N17 07.0 | 293 22.7 S 1 01.6
14 | 311 42.7 | 349 25.9 S16 50.4 | 97 28.2 S12 13.6 | 175 27.0 N17 07.1 | 308 25.0 S 1 01.6
15 | 326 45.2 | 4 25.4 S16 49.4 | 112 29.3 S12 14.1 | 190 29.7 N17 07.2 | 323 27.4 S 1 01.5
16 | 341 47.7 | 19 24.8 S16 48.4 | 127 30.4 S12 14.6 | 205 32.4 N17 07.2 | 338 29.8 S 1 01.5
17 | 356 50.1 | 34 24.3 S16 47.4 | 142 31.5 S12 15.1 | 220 35.1 N17 07.3 | 353 32.1 S 1 01.4
18 | 11 52.6 | 49 23.8 S16 46.5 | 157 32.6 S12 15.5 | 235 37.8 N17 07.4 | 8 34.5 S 1 01.3
19 | 26 55.0 | 64 23.2 S16 45.5 | 172 33.6 S12 16.0 | 250 40.5 N17 07.5 | 23 36.8 S 1 01.3
20 | 41 57.5 | 79 22.7 S16 44.5 | 187 34.7 S12 16.5 | 265 43.2 N17 07.5 | 38 39.2 S 1 01.2
21 | 56 60.0 | 94 22.2 S16 43.5 | 202 35.8 S12 16.9 | 280 45.9 N17 07.6 | 53 41.5 S 1 01.2
22 | 72 02.4 | 109 21.7 S16 42.5 | 217 36.9 S12 17.4 | 295 48.7 N17 07.7 | 68 43.9 S 1 01.1
23 | 87 04.9 | 124 21.1 S16 41.6 | 232 38.0 S12 17.9 | 310 51.4 N17 07.8 | 83 46.2 S 1 01.1
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| v -0.5 d 1.0 | v 1.1 d 0.5 | v 2.7 d 0.1 | v 2.4 d 0.1
2820 DEC. 30, 31, 2821 JAN. 1 (WED, THU, FRI)
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| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
30 0 | 179 47.9 S23 03.3 | 132 18.8 8.1 S17 54.5 9.9 58.9 | Acamar 307 35.2 S37 03.4
1 | 194 47.7 S23 03.1 | 146 45.9 8.1 S17 44.5 10.0 58.9 | Achernar 327 52.9 S53 06.1
2 | 209 47.4 S23 02.9 | 161 13.0 8.2 S17 34.4 10.1 58.9 | Acrux 161 46.5 S67 37.2
3 | 224 47.1 S23 02.8 | 175 40.3 8.2 S17 24.2 10.2 58.9 | Adhara 247 12.4 S30 07.1
4 | 239 46.8 S23 02.6 | 190 07.5 8.3 S17 13.8 10.3 58.9 | Albireo 58 59.3 N29 42.6
W 5 | 254 46.5 S23 02.4 | 204 34.9 8.3 S17 03.4 10.4 59.0 |
E | | | Aldebaran 279 10.5 N18 06.4
D 6 | 269 46.2 S23 02.3 | 219 02.3 8.4 S16 52.8 10.5 59.0 | Alioth 157 26.9 N51 31.5
N 7 | 284 45.9 S23 02.1 | 233 29.7 8.5 S16 42.2 10.7 59.0 | Alkaid 144 59.1 N45 14.6
E 8 | 299 45.6 S23 01.9 | 247 57.2 8.5 S16 31.4 10.8 59.0 | Al Na-ir 15 02.4 S42 58.9
S 9 | 314 45.3 S23 01.8 | 262 24.8 8.6 S16 20.6 10.9 59.0 | Alnilam 265 28.1 S 0 43.5
D 10 | 329 45.0 S23 01.6 | 276 52.4 8.6 S16 09.6 10.9 59.0 |
A 11 | 344 44.7 S23 01.4 | 291 20.1 8.7 S15 58.6 11.0 59.0 | Alphard 207 57.7 S12 13.8
Y | | | Alphecca 117 34.8 N23 59.4
12 | 359 44.4 S23 01.3 | 305 47.8 8.7 S15 47.4 11.1 59.0 | Alpheratz 347 12.8 N33 36.4
13 | 14 44.1 S23 01.1 | 320 15.6 8.8 S15 36.2 11.2 59.0 | Altair 52 14.8 N11 04.0
14 | 29 43.8 S23 00.9 | 334 43.5 8.8 S15 24.9 11.3 59.0 | Ankaa 343 16.0 S37 52.6
15 | 44 43.6 S23 00.7 | 349 11.4 8.9 S15 13.5 11.4 59.0 |
16 | 59 43.3 S23 00.6 | 3 39.3 9.0 S15 01.9 11.5 59.1 | Antares 100 00.2 S28 11.8
17 | 74 43.0 S23 00.4 | 18 07.3 9.0 S14 50.3 11.6 59.1 | Arcturus 136 40.1 N14 56.6
| | | Atria 85 59.0 S70 26.5
18 | 89 42.7 S23 00.2 | 32 35.4 9.1 S14 38.7 11.7 59.1 | Avior 230 05.2 S62 09.3
19 | 104 42.4 S23 00.0 | 47 03.5 9.1 S14 26.9 11.8 59.1 | Bellatrix 267 38.8 N 7 02.6
20 | 119 42.1 S22 59.8 | 61 31.7 9.2 S14 15.0 11.9 59.1 |
21 | 134 41.8 S22 59.7 | 75 60.0 9.2 S14 03.1 11.9 59.1 | Betelgeuse 260 02.2 N 7 30.7
22 | 149 41.5 S22 59.5 | 90 28.3 9.3 S13 51.1 12.0 59.1 | Canopus 259 22.0 S53 09.9
23 | 164 41.2 S22 59.3 | 104 56.6 9.3 S13 39.0 12.1 59.1 | Capella 265 36.0 N46 46.0
------+-------------------+----------------------------------| Castor 233 13.5 N30 02.8
31 0 | 179 40.9 S22 59.1 | 119 25.0 9.4 S13 26.8 12.2 59.1 | Deneb 42 35.1 N48 13.6
1 | 194 40.6 S22 58.9 | 133 53.5 9.5 S13 14.5 12.3 59.1 |
2 | 209 40.3 S22 58.7 | 148 22.0 9.5 S13 02.2 12.3 59.1 | Denebola 172 13.5 N 9 59.8
3 | 224 40.1 S22 58.6 | 162 50.5 9.6 S12 49.8 12.4 59.1 | Diphda 338 45.5 S13 30.5
4 | 239 39.8 S22 58.4 | 177 19.1 9.6 S12 37.3 12.5 59.1 | Dubhe 181 28.6 N57 19.0
T 5 | 254 39.5 S22 58.2 | 191 47.8 9.7 S12 24.7 12.6 59.1 | Elnath 265 23.6 N29 14.5
H | | | Eltanin 86 00.9 N51 24.7
U 6 | 269 39.2 S22 58.0 | 206 16.5 9.7 S12 12.1 12.6 59.1 |
R 7 | 284 38.9 S22 57.8 | 220 45.3 9.8 S11 59.4 12.7 59.1 | Enif 23 49.5 N13 38.9
S 8 | 299 38.6 S22 57.6 | 235 14.1 9.8 S11 46.6 12.8 59.2 | Fomalhaut 4 14.1 S25 16.8
D 9 | 314 38.3 S22 57.4 | 249 42.9 9.9 S11 33.8 12.8 59.2 | Gacrux 160 41.3 S61 40.8
A 10 | 329 38.0 S22 57.2 | 264 11.8 9.9 S11 20.9 12.9 59.2 | Gienah 165 25.4 S22 04.7
Y 11 | 344 37.7 S22 57.1 | 278 40.8 10.0 S11 07.9 13.0 59.2 | Hadar 134 23.8 S64 16.9
| | |
12 | 359 37.4 S22 56.9 | 293 09.8 10.0 S10 54.9 13.0 59.2 | Hamal 316 33.2 N27 18.3
13 | 14 37.1 S22 56.7 | 307 38.8 10.0 S10 41.8 13.1 59.2 | Kaus Austr. 70 18.4 S33 56.6
14 | 29 36.9 S22 56.5 | 322 07.9 10.1 S10 28.7 13.1 59.2 | Kochab 137 41.0 N70 48.3
15 | 44 36.6 S22 56.3 | 336 37.1 10.1 S10 15.5 13.2 59.2 | Markab 3 31.6 N19 37.0
16 | 59 36.3 S22 56.1 | 351 06.3 10.2 S10 02.2 13.3 59.2 | Menkar 303 37.9 N 7 15.8
17 | 74 36.0 S22 55.9 | 5 35.5 10.2 S 9 48.9 13.3 59.2 |
| | | Menkent 136 09.5 S40 21.9
18 | 89 35.7 S22 55.7 | 20 04.8 10.3 S 9 35.5 13.4 59.2 | Miaplacidus 219 24.3 S73 05.3
19 | 104 35.4 S22 55.5 | 34 34.1 10.3 S 9 22.1 13.4 59.2 | Mirfak 294 08.8 N52 43.6
20 | 119 35.1 S22 55.3 | 49 03.4 10.4 S 9 08.6 13.5 59.2 | Nunki 63 26.0 S25 13.8
21 | 134 34.8 S22 55.1 | 63 32.8 10.4 S 8 55.1 13.5 59.2 | Peacock 37 25.5 S54 03.8
22 | 149 34.5 S22 54.9 | 78 02.2 10.4 S 8 41.5 13.6 59.2 |
23 | 164 34.3 S22 54.7 | 92 31.7 10.5 S 8 27.8 13.6 59.2 | Polaris 115 16.7 N92 56.1
------+-------------------+----------------------------------| Pollux 231 05.1 N26 00.1
1 0 | 179 34.0 S22 54.5 | 107 01.2 10.5 S 8 14.2 13.7 59.2 | Procyon 234 23.1 N 3 05.1
1 | 194 33.7 S22 54.3 | 121 30.8 10.5 S 8 00.4 13.7 59.2 | Rasalhague 86 41.2 N12 00.3
2 | 209 33.4 S22 54.1 | 136 00.3 10.6 S 7 46.7 13.8 59.2 | Regulus 196 56.4 N 7 56.8
3 | 224 33.1 S22 53.9 | 150 29.9 10.6 S 7 32.9 13.8 59.2 |
4 | 239 32.8 S22 53.7 | 164 59.6 10.6 S 7 19.0 13.9 59.2 | Rigel 271 26.2 S 7 18.0
F 5 | 254 32.5 S22 53.5 | 179 29.3 10.7 S 7 05.1 13.9 59.2 | Rigil Kent 126 01.1 S64 10.3
R | | | Sabik 90 35.1 S16 41.3
I 6 | 269 32.2 S22 53.3 | 193 59.0 10.7 S 6 51.2 13.9 59.2 | Schedar 338 05.1 N61 01.1
D 7 | 284 32.0 S22 53.1 | 208 28.7 10.7 S 6 37.2 14.0 59.2 | Shaula 82 37.1 S37 38.5
A 8 | 299 31.7 S22 52.9 | 222 58.5 10.8 S 6 23.2 14.0 59.2 |
Y 9 | 314 31.4 S22 52.6 | 237 28.3 10.8 S 6 09.2 14.0 59.2 | Sirius 249 36.6 S17 52.6
10 | 329 31.1 S22 52.4 | 251 58.2 10.8 S 5 55.1 14.1 59.2 | Spica 147 49.3 S15 24.7
11 | 344 30.8 S22 52.2 | 266 28.0 10.9 S 5 41.0 14.1 59.2 | Suhail 215 22.4 S46 45.3
| | | Vega 73 45.5 N39 34.4
12 | 359 30.5 S22 52.0 | 280 57.9 10.9 S 5 26.9 14.1 59.2 | Zuben-ubi 126 11.9 S19 24.4
13 | 14 30.2 S22 51.8 | 295 27.8 10.9 S 5 12.7 14.2 59.2 |
14 | 29 29.9 S22 51.6 | 309 57.8 10.9 S 4 58.5 14.2 59.2 |
15 | 44 29.7 S22 51.4 | 324 27.7 11.0 S 4 44.3 14.2 59.2 |
16 | 59 29.4 S22 51.2 | 338 57.7 11.0 S 4 30.1 14.2 59.2 |
17 | 74 29.1 S22 50.9 | 353 27.7 11.0 S 4 15.8 14.3 59.2 |
| | |
18 | 89 28.8 S22 50.7 | 7 57.7 11.0 S 4 01.5 14.3 59.2 |
19 | 104 28.5 S22 50.5 | 22 27.8 11.0 S 3 47.2 14.3 59.2 |
20 | 119 28.2 S22 50.3 | 36 57.9 11.1 S 3 32.9 14.3 59.2 |
21 | 134 27.9 S22 50.1 | 51 27.9 11.1 S 3 18.6 14.3 59.2 |
22 | 149 27.7 S22 49.9 | 65 58.0 11.1 S 3 04.2 14.4 59.2 |
23 | 164 27.4 S22 49.6 | 80 28.2 11.1 S 2 49.8 14.4 59.2 |
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|S.D. 16.3 d 0.2 | S.D. 16.1 16.1 16.1 |
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