
2870 DEC. 21, 22, 23 (SUN, MON, TUE)
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| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
21 0 | 90 11.8 | 199 45.3 S20 20.9 | 95 17.1 S 2 59.6 | 242 37.5 S10 02.4 | 182 05.9 S22 05.5
1 | 105 14.2 | 214 48.7 S20 20.2 | 110 18.0 S 2 58.9 | 257 39.6 S10 02.6 | 197 08.0 S22 05.5
2 | 120 16.7 | 229 52.0 S20 19.6 | 125 19.0 S 2 58.2 | 272 41.7 S10 02.7 | 212 10.1 S22 05.5
3 | 135 19.2 | 244 55.4 S20 18.9 | 140 19.9 S 2 57.5 | 287 43.8 S10 02.8 | 227 12.3 S22 05.5
4 | 150 21.6 | 259 58.7 S20 18.3 | 155 20.8 S 2 56.7 | 302 45.9 S10 03.0 | 242 14.4 S22 05.5
S 5 | 165 24.1 | 275 02.1 S20 17.6 | 170 21.8 S 2 56.0 | 317 48.0 S10 03.1 | 257 16.6 S22 05.5
U
N 6 | 180 26.6 | 290 05.4 S20 16.9 | 185 22.7 S 2 55.3 | 332 50.1 S10 03.2 | 272 18.7 S22 05.5
D 7 | 195 29.0 | 305 08.7 S20 16.3 | 200 23.6 S 2 54.5 | 347 52.2 S10 03.3 | 287 20.9 S22 05.5
A 8 | 210 31.5 | 320 12.0 S20 15.6 | 215 24.6 S 2 53.8 | 2 54.3 S10 03.5 | 302 23.0 S22 05.5
Y 9 | 225 34.0 | 335 15.4 S20 15.0 | 230 25.5 S 2 53.1 | 17 56.4 S10 03.6 | 317 25.1 S22 05.5
10 | 240 36.4 | 350 18.7 S20 14.3 | 245 26.4 S 2 52.3 | 32 58.5 S10 03.7 | 332 27.3 S22 05.5
11 | 255 38.9 | 5 22.0 S20 13.7 | 260 27.4 S 2 51.6 | 48 00.6 S10 03.8 | 347 29.4 S22 05.5
12 | 270 41.3 | 20 25.3 S20 13.0 | 275 28.3 S 2 50.9 | 63 02.7 S10 04.0 | 2 31.6 S22 05.5
13 | 285 43.8 | 35 28.6 S20 12.4 | 290 29.2 S 2 50.1 | 78 04.8 S10 04.1 | 17 33.7 S22 05.5
14 | 300 46.3 | 50 31.9 S20 11.7 | 305 30.2 S 2 49.4 | 93 06.9 S10 04.2 | 32 35.9 S22 05.6
15 | 315 48.7 | 65 35.2 S20 11.1 | 320 31.1 S 2 48.7 | 108 09.0 S10 04.3 | 47 38.0 S22 05.6
16 | 330 51.2 | 80 38.5 S20 10.4 | 335 32.0 S 2 47.9 | 123 11.1 S10 04.5 | 62 40.2 S22 05.6
17 | 345 53.7 | 95 41.8 S20 09.8 | 350 33.0 S 2 47.2 | 138 13.2 S10 04.6 | 77 42.3 S22 05.6
18 | 0 56.1 | 110 45.1 S20 09.2 | 5 33.9 S 2 46.5 | 153 15.3 S10 04.7 | 92 44.4 S22 05.6
19 | 15 58.6 | 125 48.3 S20 08.5 | 20 34.8 S 2 45.7 | 168 17.4 S10 04.8 | 107 46.6 S22 05.6
20 | 31 01.1 | 140 51.6 S20 07.9 | 35 35.8 S 2 45.0 | 183 19.5 S10 05.0 | 122 48.7 S22 05.6
21 | 46 03.5 | 155 54.9 S20 07.2 | 50 36.7 S 2 44.3 | 198 21.6 S10 05.1 | 137 50.9 S22 05.6
22 | 61 06.0 | 170 58.1 S20 06.6 | 65 37.6 S 2 43.5 | 213 23.7 S10 05.2 | 152 53.0 S22 05.6
23 | 76 08.5 | 186 01.4 S20 06.0 | 80 38.6 S 2 42.8 | 228 25.8 S10 05.4 | 167 55.2 S22 05.6
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22 0 | 91 10.9 | 201 04.7 S20 05.3 | 95 39.5 S 2 42.1 | 243 27.9 S10 05.5 | 182 57.3 S22 05.6
1 | 106 13.4 | 216 07.9 S20 04.7 | 110 40.4 S 2 41.3 | 258 30.0 S10 05.6 | 197 59.4 S22 05.6
2 | 121 15.8 | 231 11.2 S20 04.1 | 125 41.4 S 2 40.6 | 273 32.1 S10 05.7 | 213 01.6 S22 05.6
3 | 136 18.3 | 246 14.4 S20 03.4 | 140 42.3 S 2 39.9 | 288 34.2 S10 05.9 | 228 03.7 S22 05.6
4 | 151 20.8 | 261 17.7 S20 02.8 | 155 43.2 S 2 39.1 | 303 36.3 S10 06.0 | 243 05.9 S22 05.6
M 5 | 166 23.2 | 276 20.9 S20 02.2 | 170 44.2 S 2 38.4 | 318 38.4 S10 06.1 | 258 08.0 S22 05.6
O
N 6 | 181 25.7 | 291 24.1 S20 01.6 | 185 45.1 S 2 37.7 | 333 40.5 S10 06.2 | 273 10.2 S22 05.6
D 7 | 196 28.2 | 306 27.4 S20 00.9 | 200 46.0 S 2 36.9 | 348 42.6 S10 06.4 | 288 12.3 S22 05.7
A 8 | 211 30.6 | 321 30.6 S20 00.3 | 215 46.9 S 2 36.2 | 3 44.7 S10 06.5 | 303 14.4 S22 05.7
Y 9 | 226 33.1 | 336 33.8 S19 59.7 | 230 47.9 S 2 35.5 | 18 46.9 S10 06.6 | 318 16.6 S22 05.7
10 | 241 35.6 | 351 37.0 S19 59.1 | 245 48.8 S 2 34.7 | 33 49.0 S10 06.7 | 333 18.7 S22 05.7
11 | 256 38.0 | 6 40.2 S19 58.5 | 260 49.7 S 2 34.0 | 48 51.1 S10 06.9 | 348 20.9 S22 05.7
12 | 271 40.5 | 21 43.4 S19 57.8 | 275 50.7 S 2 33.3 | 63 53.2 S10 07.0 | 3 23.0 S22 05.7
13 | 286 42.9 | 36 46.6 S19 57.2 | 290 51.6 S 2 32.5 | 78 55.3 S10 07.1 | 18 25.2 S22 05.7
14 | 301 45.4 | 51 49.8 S19 56.6 | 305 52.5 S 2 31.8 | 93 57.4 S10 07.2 | 33 27.3 S22 05.7
15 | 316 47.9 | 66 53.0 S19 56.0 | 320 53.5 S 2 31.1 | 108 59.5 S10 07.3 | 48 29.5 S22 05.7
16 | 331 50.3 | 81 56.2 S19 55.4 | 335 54.4 S 2 30.3 | 124 01.6 S10 07.5 | 63 31.6 S22 05.7
17 | 346 52.8 | 96 59.4 S19 54.8 | 350 55.3 S 2 29.6 | 139 03.7 S10 07.6 | 78 33.7 S22 05.7
18 | 1 55.3 | 112 02.6 S19 54.2 | 5 56.3 S 2 28.9 | 154 05.8 S10 07.7 | 93 35.9 S22 05.7
19 | 16 57.7 | 127 05.8 S19 53.5 | 20 57.2 S 2 28.1 | 169 07.9 S10 07.8 | 108 38.0 S22 05.7
20 | 32 00.2 | 142 08.9 S19 52.9 | 35 58.1 S 2 27.4 | 184 10.0 S10 08.0 | 123 40.2 S22 05.7
21 | 47 02.7 | 157 12.1 S19 52.3 | 50 59.1 S 2 26.7 | 199 12.1 S10 08.1 | 138 42.3 S22 05.7
22 | 62 05.1 | 172 15.3 S19 51.7 | 65 60.0 S 2 25.9 | 214 14.2 S10 08.2 | 153 44.5 S22 05.7
23 | 77 07.6 | 187 18.4 S19 51.1 | 81 00.9 S 2 25.2 | 229 16.3 S10 08.3 | 168 46.6 S22 05.7
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23 0 | 92 10.1 | 202 21.6 S19 50.5 | 96 01.8 S 2 24.5 | 244 18.5 S10 08.5 | 183 48.7 S22 05.8
1 | 107 12.5 | 217 24.7 S19 49.9 | 111 02.8 S 2 23.7 | 259 20.6 S10 08.6 | 198 50.9 S22 05.8
2 | 122 15.0 | 232 27.9 S19 49.3 | 126 03.7 S 2 23.0 | 274 22.7 S10 08.7 | 213 53.0 S22 05.8
3 | 137 17.4 | 247 31.0 S19 48.7 | 141 04.6 S 2 22.3 | 289 24.8 S10 08.8 | 228 55.2 S22 05.8
4 | 152 19.9 | 262 34.2 S19 48.1 | 156 05.6 S 2 21.5 | 304 26.9 S10 09.0 | 243 57.3 S22 05.8
T 5 | 167 22.4 | 277 37.3 S19 47.5 | 171 06.5 S 2 20.8 | 319 29.0 S10 09.1 | 258 59.5 S22 05.8
U
E 6 | 182 24.8 | 292 40.4 S19 46.9 | 186 07.4 S 2 20.1 | 334 31.1 S10 09.2 | 274 01.6 S22 05.8
S 7 | 197 27.3 | 307 43.6 S19 46.4 | 201 08.4 S 2 19.3 | 349 33.2 S10 09.3 | 289 03.8 S22 05.8
D 8 | 212 29.8 | 322 46.7 S19 45.8 | 216 09.3 S 2 18.6 | 4 35.3 S10 09.4 | 304 05.9 S22 05.8
A 9 | 227 32.2 | 337 49.8 S19 45.2 | 231 10.2 S 2 17.9 | 19 37.4 S10 09.6 | 319 08.0 S22 05.8
Y 10 | 242 34.7 | 352 52.9 S19 44.6 | 246 11.1 S 2 17.1 | 34 39.5 S10 09.7 | 334 10.2 S22 05.8
11 | 257 37.2 | 7 56.0 S19 44.0 | 261 12.1 S 2 16.4 | 49 41.6 S10 09.8 | 349 12.3 S22 05.8
12 | 272 39.6 | 22 59.1 S19 43.4 | 276 13.0 S 2 15.7 | 64 43.8 S10 09.9 | 4 14.5 S22 05.8
13 | 287 42.1 | 38 02.2 S19 42.8 | 291 13.9 S 2 14.9 | 79 45.9 S10 10.1 | 19 16.6 S22 05.8
14 | 302 44.6 | 53 05.3 S19 42.3 | 306 14.9 S 2 14.2 | 94 48.0 S10 10.2 | 34 18.8 S22 05.8
15 | 317 47.0 | 68 08.4 S19 41.7 | 321 15.8 S 2 13.4 | 109 50.1 S10 10.3 | 49 20.9 S22 05.8
16 | 332 49.5 | 83 11.5 S19 41.1 | 336 16.7 S 2 12.7 | 124 52.2 S10 10.4 | 64 23.1 S22 05.8
17 | 347 51.9 | 98 14.6 S19 40.5 | 351 17.7 S 2 12.0 | 139 54.3 S10 10.6 | 79 25.2 S22 05.8
18 | 2 54.4 | 113 17.7 S19 39.9 | 6 18.6 S 2 11.2 | 154 56.4 S10 10.7 | 94 27.3 S22 05.8
19 | 17 56.9 | 128 20.7 S19 39.4 | 21 19.5 S 2 10.5 | 169 58.5 S10 10.8 | 109 29.5 S22 05.9
20 | 32 59.3 | 143 23.8 S19 38.8 | 36 20.4 S 2 09.8 | 185 00.6 S10 10.9 | 124 31.6 S22 05.9
21 | 48 01.8 | 158 26.9 S19 38.2 | 51 21.4 S 2 09.0 | 200 02.8 S10 11.0 | 139 33.8 S22 05.9
22 | 63 04.3 | 173 29.9 S19 37.6 | 66 22.3 S 2 08.3 | 215 04.9 S10 11.2 | 154 35.9 S22 05.9
23 | 78 06.7 | 188 33.0 S19 37.1 | 81 23.2 S 2 07.6 | 230 07.0 S10 11.3 | 169 38.1 S22 05.9
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| v 3.2 d 0.6 | v 0.9 d 0.7 | v 2.1 d 0.1 | v 2.1 d 0.0
2870 DEC. 21, 22, 23 (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 | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
21 0 | 180 54.1 S23 19.3 | 89 21.8 14.0 N 2 11.6 9.9 55.6 | Acamar 307 06.1 S36 51.5
1 | 195 53.8 S23 19.3 | 103 54.9 14.0 N 2 21.5 9.8 55.5 | Achernar 327 24.5 S52 50.9
2 | 210 53.5 S23 19.4 | 118 27.9 14.1 N 2 31.3 9.8 55.5 | Acrux 161 03.4 S67 53.8
3 | 225 53.2 S23 19.4 | 133 01.0 14.1 N 2 41.1 9.8 55.5 | Adhara 246 42.2 S30 11.4
4 | 240 52.9 S23 19.4 | 147 34.1 14.1 N 2 50.9 9.8 55.4 | Albireo 58 28.3 N29 49.2
S 5 | 255 52.6 S23 19.4 | 162 07.3 14.1 N 3 00.7 9.8 55.4 |
U | | | Aldebaran 278 26.6 N18 12.1
N 6 | 270 52.3 S23 19.4 | 176 40.4 14.2 N 3 10.4 9.7 55.4 | Alioth 156 53.6 N51 15.3
D 7 | 285 52.0 S23 19.4 | 191 13.6 14.2 N 3 20.2 9.7 55.4 | Alkaid 144 29.1 N44 59.8
A 8 | 300 51.7 S23 19.4 | 205 46.8 14.2 N 3 29.8 9.7 55.3 | Al Na-ir 14 14.8 S42 44.2
Y 9 | 315 51.4 S23 19.4 | 220 20.0 14.2 N 3 39.5 9.7 55.3 | Alnilam 264 49.3 S 0 41.9
10 | 330 51.1 S23 19.4 | 234 53.2 14.2 N 3 49.2 9.6 55.3 |
11 | 345 50.8 S23 19.4 | 249 26.5 14.2 N 3 58.8 9.6 55.3 | Alphard 207 20.1 S12 27.0
| | | Alphecca 117 02.4 N23 49.6
12 | 0 50.5 S23 19.4 | 263 59.7 14.3 N 4 08.4 9.6 55.2 | Alpheratz 346 33.0 N33 53.0
13 | 15 50.2 S23 19.4 | 278 33.0 14.3 N 4 18.0 9.6 55.2 | Altair 51 37.5 N11 12.2
14 | 30 49.9 S23 19.4 | 293 06.3 14.3 N 4 27.5 9.5 55.2 | Ankaa 342 38.4 S37 36.3
15 | 45 49.6 S23 19.4 | 307 39.6 14.3 N 4 37.0 9.5 55.2 |
16 | 60 49.3 S23 19.4 | 322 12.9 14.3 N 4 46.5 9.5 55.1 | Antares 99 13.4 S28 18.2
17 | 75 49.0 S23 19.4 | 336 46.2 14.3 N 4 56.0 9.5 55.1 | Arcturus 136 05.2 N14 41.1
| | | Atria 84 38.2 S70 31.6
18 | 90 48.7 S23 19.4 | 351 19.5 14.3 N 5 05.4 9.4 55.1 | Avior 229 49.1 S62 19.1
19 | 105 48.5 S23 19.4 | 5 52.9 14.3 N 5 14.8 9.4 55.1 | Bellatrix 266 57.8 N 7 05.0
20 | 120 48.2 S23 19.4 | 20 26.2 14.3 N 5 24.2 9.4 55.0 |
21 | 135 47.9 S23 19.4 | 34 59.6 14.4 N 5 33.5 9.3 55.0 | Betelgeuse 259 20.8 N 7 30.9
22 | 150 47.6 S23 19.4 | 49 32.9 14.4 N 5 42.8 9.3 55.0 | Canopus 259 04.6 S53 11.7
23 | 165 47.3 S23 19.4 | 64 06.3 14.4 N 5 52.1 9.3 55.0 | Capella 264 39.7 N46 48.7
------+-------------------+----------------------------------| Castor 232 25.0 N29 55.8
22 0 | 180 47.0 S23 19.4 | 78 39.7 14.4 N 6 01.3 9.2 54.9 | Deneb 42 08.7 N48 24.6
1 | 195 46.7 S23 19.4 | 93 13.1 14.4 N 6 10.5 9.2 54.9 |
2 | 210 46.4 S23 19.4 | 107 46.5 14.4 N 6 19.7 9.2 54.9 | Denebola 171 34.7 N 9 43.0
3 | 225 46.1 S23 19.4 | 122 19.9 14.4 N 6 28.9 9.1 54.9 | Diphda 338 07.1 S13 14.1
4 | 240 45.8 S23 19.4 | 136 53.3 14.4 N 6 38.0 9.1 54.9 | Dubhe 180 42.4 N57 02.6
M 5 | 255 45.5 S23 19.3 | 151 26.7 14.4 N 6 47.0 9.1 54.8 | Elnath 264 35.4 N29 16.7
O | | | Eltanin 85 42.8 N51 24.6
N 6 | 270 45.2 S23 19.3 | 166 00.1 14.4 N 6 56.1 9.0 54.8 |
D 7 | 285 44.9 S23 19.3 | 180 33.5 14.4 N 7 05.1 9.0 54.8 | Enif 23 11.9 N13 52.9
A 8 | 300 44.6 S23 19.3 | 195 06.9 14.4 N 7 14.1 9.0 54.8 | Fomalhaut 3 32.1 S25 00.7
Y 9 | 315 44.3 S23 19.3 | 209 40.3 14.4 N 7 23.0 8.9 54.8 | Gacrux 159 58.5 S61 57.6
10 | 330 44.0 S23 19.3 | 224 13.7 14.4 N 7 31.9 8.9 54.7 | Gienah 164 46.0 S22 21.3
11 | 345 43.7 S23 19.3 | 238 47.1 14.4 N 7 40.8 8.9 54.7 | Hadar 133 29.5 S64 31.2
| | |
12 | 0 43.4 S23 19.3 | 253 20.5 14.4 N 7 49.6 8.8 54.7 | Hamal 315 50.0 N27 32.3
13 | 15 43.1 S23 19.2 | 267 53.9 14.4 N 7 58.4 8.8 54.7 | Kaus Austr. 69 27.9 S33 54.9
14 | 30 42.8 S23 19.2 | 282 27.3 14.4 N 8 07.1 8.7 54.7 | Kochab 137 42.5 N70 36.2
15 | 45 42.5 S23 19.2 | 297 00.7 14.4 N 8 15.8 8.7 54.6 | Markab 2 53.4 N19 53.2
16 | 60 42.2 S23 19.2 | 311 34.1 14.4 N 8 24.5 8.7 54.6 | Menkar 302 57.8 N 7 27.4
17 | 75 41.9 S23 19.2 | 326 07.5 14.4 N 8 33.1 8.6 54.6 |
| | | Menkent 135 24.4 S40 36.5
18 | 90 41.6 S23 19.1 | 340 40.9 14.4 N 8 41.7 8.6 54.6 | Miaplacidus 219 15.4 S73 17.8
19 | 105 41.3 S23 19.1 | 355 14.2 14.4 N 8 50.2 8.5 54.6 | Mirfak 293 14.1 N52 53.9
20 | 120 41.0 S23 19.1 | 9 47.6 14.4 N 8 58.7 8.5 54.6 | Nunki 62 38.8 S25 09.8
21 | 135 40.7 S23 19.1 | 24 21.0 14.4 N 9 07.2 8.5 54.5 | Peacock 36 25.9 S53 53.9
22 | 150 40.4 S23 19.0 | 38 54.3 14.4 N 9 15.6 8.4 54.5 |
23 | 165 40.1 S23 19.0 | 53 27.7 14.3 N 9 23.9 8.4 54.5 | Polaris 102 22.8 N93 09.5
------+-------------------+----------------------------------| Pollux 230 18.6 N25 52.5
23 0 | 180 39.8 S23 19.0 | 68 01.0 14.3 N 9 32.3 8.3 54.5 | Procyon 233 43.2 N 2 57.1
1 | 195 39.5 S23 19.0 | 82 34.4 14.3 N 9 40.6 8.3 54.5 | Rasalhague 86 05.7 N11 58.4
2 | 210 39.2 S23 18.9 | 97 07.7 14.3 N 9 48.8 8.2 54.5 | Regulus 196 15.9 N 7 42.0
3 | 225 38.9 S23 18.9 | 111 41.0 14.3 N 9 57.0 8.2 54.4 |
4 | 240 38.6 S23 18.9 | 126 14.3 14.3 N10 05.1 8.1 54.4 | Rigel 270 49.4 S 7 14.8
T 5 | 255 38.3 S23 18.9 | 140 47.6 14.3 N10 13.2 8.1 54.4 | Rigil Kent 125 08.9 S64 22.4
U | | | Sabik 89 51.3 S16 44.7
E 6 | 270 38.0 S23 18.8 | 155 20.9 14.3 N10 21.3 8.1 54.4 | Schedar 337 21.1 N61 17.5
S 7 | 285 37.7 S23 18.8 | 169 54.1 14.3 N10 29.3 8.0 54.4 | Shaula 81 45.4 S37 40.4
D 8 | 300 37.4 S23 18.8 | 184 27.4 14.3 N10 37.2 8.0 54.4 |
A 9 | 315 37.1 S23 18.7 | 199 00.6 14.2 N10 45.2 7.9 54.4 | Sirius 249 02.9 S17 57.0
Y 10 | 330 36.8 S23 18.7 | 213 33.8 14.2 N10 53.0 7.9 54.4 | Spica 147 09.0 S15 40.2
11 | 345 36.5 S23 18.7 | 228 07.1 14.2 N11 00.8 7.8 54.3 | Suhail 214 54.0 S46 57.5
| | | Vega 73 19.3 N39 37.6
12 | 0 36.2 S23 18.6 | 242 40.2 14.2 N11 08.6 7.8 54.3 | Zuben-ubi 125 30.8 S19 36.6
13 | 15 35.9 S23 18.6 | 257 13.4 14.2 N11 16.3 7.7 54.3 |
14 | 30 35.6 S23 18.5 | 271 46.6 14.2 N11 24.0 7.7 54.3 |
15 | 45 35.3 S23 18.5 | 286 19.7 14.2 N11 31.6 7.6 54.3 |
16 | 60 35.0 S23 18.5 | 300 52.9 14.1 N11 39.1 7.6 54.3 |
17 | 75 34.7 S23 18.4 | 315 26.0 14.1 N11 46.7 7.5 54.3 |
| | |
18 | 90 34.4 S23 18.4 | 329 59.1 14.1 N11 54.1 7.5 54.3 |
19 | 105 34.1 S23 18.3 | 344 32.2 14.1 N12 01.5 7.4 54.2 |
20 | 120 33.8 S23 18.3 | 359 05.2 14.1 N12 08.9 7.4 54.2 |
21 | 135 33.5 S23 18.3 | 13 38.3 14.0 N12 16.2 7.3 54.2 |
22 | 150 33.2 S23 18.2 | 28 11.3 14.0 N12 23.4 7.2 54.2 |
23 | 165 32.9 S23 18.2 | 42 44.3 14.0 N12 30.6 7.2 54.2 |
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|S.D. 16.2 d 0.0 | S.D. 15.0 14.9 14.8 |
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