
2686 DEC. 19, 20, 21 (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 | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
19 0 | 87 46.8 | 133 34.7 S19 19.8 | 325 28.2 N23 17.7 | 87 29.1 S 1 17.2 | 261 37.5 S 0 21.1
1 | 102 49.2 | 148 35.4 S19 19.0 | 340 31.2 N23 17.9 | 102 31.4 S 1 17.1 | 276 39.8 S 0 21.1
2 | 117 51.7 | 163 36.0 S19 18.3 | 355 34.2 N23 18.1 | 117 33.7 S 1 17.0 | 291 42.2 S 0 21.2
3 | 132 54.2 | 178 36.7 S19 17.5 | 10 37.3 N23 18.4 | 132 35.9 S 1 16.9 | 306 44.5 S 0 21.2
4 | 147 56.6 | 193 37.3 S19 16.8 | 25 40.3 N23 18.6 | 147 38.2 S 1 16.8 | 321 46.9 S 0 21.3
S 5 | 162 59.1 | 208 38.0 S19 16.0 | 40 43.3 N23 18.8 | 162 40.5 S 1 16.7 | 336 49.2 S 0 21.3
U
N 6 | 178 01.5 | 223 38.6 S19 15.2 | 55 46.4 N23 19.1 | 177 42.8 S 1 16.6 | 351 51.6 S 0 21.3
D 7 | 193 04.0 | 238 39.3 S19 14.5 | 70 49.4 N23 19.3 | 192 45.0 S 1 16.5 | 6 53.9 S 0 21.4
A 8 | 208 06.5 | 253 40.0 S19 13.7 | 85 52.4 N23 19.5 | 207 47.3 S 1 16.4 | 21 56.3 S 0 21.4
Y 9 | 223 08.9 | 268 40.6 S19 13.0 | 100 55.5 N23 19.8 | 222 49.6 S 1 16.3 | 36 58.6 S 0 21.4
10 | 238 11.4 | 283 41.3 S19 12.2 | 115 58.5 N23 20.0 | 237 51.9 S 1 16.3 | 52 01.0 S 0 21.5
11 | 253 13.9 | 298 42.0 S19 11.5 | 131 01.6 N23 20.2 | 252 54.1 S 1 16.2 | 67 03.3 S 0 21.5
12 | 268 16.3 | 313 42.6 S19 10.7 | 146 04.6 N23 20.5 | 267 56.4 S 1 16.1 | 82 05.7 S 0 21.6
13 | 283 18.8 | 328 43.3 S19 10.0 | 161 07.7 N23 20.7 | 282 58.7 S 1 16.0 | 97 08.0 S 0 21.6
14 | 298 21.3 | 343 44.0 S19 09.2 | 176 10.7 N23 21.0 | 298 01.0 S 1 15.9 | 112 10.4 S 0 21.6
15 | 313 23.7 | 358 44.7 S19 08.4 | 191 13.8 N23 21.2 | 313 03.2 S 1 15.8 | 127 12.7 S 0 21.7
16 | 328 26.2 | 13 45.3 S19 07.7 | 206 16.8 N23 21.4 | 328 05.5 S 1 15.7 | 142 15.0 S 0 21.7
17 | 343 28.7 | 28 46.0 S19 06.9 | 221 19.9 N23 21.7 | 343 07.8 S 1 15.6 | 157 17.4 S 0 21.8
18 | 358 31.1 | 43 46.7 S19 06.2 | 236 22.9 N23 21.9 | 358 10.0 S 1 15.5 | 172 19.7 S 0 21.8
19 | 13 33.6 | 58 47.4 S19 05.4 | 251 26.0 N23 22.1 | 13 12.3 S 1 15.4 | 187 22.1 S 0 21.8
20 | 28 36.0 | 73 48.1 S19 04.6 | 266 29.0 N23 22.4 | 28 14.6 S 1 15.3 | 202 24.4 S 0 21.9
21 | 43 38.5 | 88 48.8 S19 03.9 | 281 32.1 N23 22.6 | 43 16.9 S 1 15.2 | 217 26.8 S 0 21.9
22 | 58 41.0 | 103 49.5 S19 03.1 | 296 35.1 N23 22.9 | 58 19.1 S 1 15.1 | 232 29.1 S 0 21.9
23 | 73 43.4 | 118 50.2 S19 02.4 | 311 38.2 N23 23.1 | 73 21.4 S 1 15.0 | 247 31.5 S 0 22.0
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20 0 | 88 45.9 | 133 50.9 S19 01.6 | 326 41.3 N23 23.3 | 88 23.7 S 1 14.9 | 262 33.8 S 0 22.0
1 | 103 48.4 | 148 51.6 S19 00.8 | 341 44.3 N23 23.6 | 103 25.9 S 1 14.8 | 277 36.2 S 0 22.0
2 | 118 50.8 | 163 52.3 S19 00.1 | 356 47.4 N23 23.8 | 118 28.2 S 1 14.7 | 292 38.5 S 0 22.1
3 | 133 53.3 | 178 53.0 S18 59.3 | 11 50.5 N23 24.1 | 133 30.5 S 1 14.6 | 307 40.9 S 0 22.1
4 | 148 55.8 | 193 53.7 S18 58.6 | 26 53.5 N23 24.3 | 148 32.7 S 1 14.5 | 322 43.2 S 0 22.2
M 5 | 163 58.2 | 208 54.4 S18 57.8 | 41 56.6 N23 24.5 | 163 35.0 S 1 14.5 | 337 45.6 S 0 22.2
O
N 6 | 179 00.7 | 223 55.1 S18 57.0 | 56 59.7 N23 24.8 | 178 37.3 S 1 14.4 | 352 47.9 S 0 22.2
D 7 | 194 03.2 | 238 55.8 S18 56.3 | 72 02.7 N23 25.0 | 193 39.5 S 1 14.3 | 7 50.3 S 0 22.3
A 8 | 209 05.6 | 253 56.5 S18 55.5 | 87 05.8 N23 25.3 | 208 41.8 S 1 14.2 | 22 52.6 S 0 22.3
Y 9 | 224 08.1 | 268 57.3 S18 54.8 | 102 08.9 N23 25.5 | 223 44.1 S 1 14.1 | 37 55.0 S 0 22.3
10 | 239 10.5 | 283 58.0 S18 54.0 | 117 12.0 N23 25.7 | 238 46.3 S 1 14.0 | 52 57.3 S 0 22.4
11 | 254 13.0 | 298 58.7 S18 53.2 | 132 15.0 N23 26.0 | 253 48.6 S 1 13.9 | 67 59.7 S 0 22.4
12 | 269 15.5 | 313 59.4 S18 52.5 | 147 18.1 N23 26.2 | 268 50.9 S 1 13.8 | 83 02.0 S 0 22.4
13 | 284 17.9 | 329 00.1 S18 51.7 | 162 21.2 N23 26.5 | 283 53.1 S 1 13.7 | 98 04.4 S 0 22.5
14 | 299 20.4 | 344 00.9 S18 50.9 | 177 24.3 N23 26.7 | 298 55.4 S 1 13.6 | 113 06.8 S 0 22.5
15 | 314 22.9 | 359 01.6 S18 50.2 | 192 27.4 N23 26.9 | 313 57.7 S 1 13.5 | 128 09.1 S 0 22.6
16 | 329 25.3 | 14 02.3 S18 49.4 | 207 30.5 N23 27.2 | 328 59.9 S 1 13.4 | 143 11.5 S 0 22.6
17 | 344 27.8 | 29 03.1 S18 48.7 | 222 33.5 N23 27.4 | 344 02.2 S 1 13.3 | 158 13.8 S 0 22.6
18 | 359 30.3 | 44 03.8 S18 47.9 | 237 36.6 N23 27.7 | 359 04.5 S 1 13.2 | 173 16.2 S 0 22.7
19 | 14 32.7 | 59 04.6 S18 47.1 | 252 39.7 N23 27.9 | 14 06.7 S 1 13.1 | 188 18.5 S 0 22.7
20 | 29 35.2 | 74 05.3 S18 46.4 | 267 42.8 N23 28.2 | 29 09.0 S 1 13.0 | 203 20.9 S 0 22.7
21 | 44 37.6 | 89 06.1 S18 45.6 | 282 45.9 N23 28.4 | 44 11.2 S 1 12.9 | 218 23.2 S 0 22.8
22 | 59 40.1 | 104 06.8 S18 44.8 | 297 49.0 N23 28.6 | 59 13.5 S 1 12.8 | 233 25.6 S 0 22.8
23 | 74 42.6 | 119 07.6 S18 44.1 | 312 52.1 N23 28.9 | 74 15.8 S 1 12.7 | 248 27.9 S 0 22.8
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21 0 | 89 45.0 | 134 08.3 S18 43.3 | 327 55.2 N23 29.1 | 89 18.0 S 1 12.6 | 263 30.3 S 0 22.9
1 | 104 47.5 | 149 09.1 S18 42.5 | 342 58.3 N23 29.4 | 104 20.3 S 1 12.5 | 278 32.6 S 0 22.9
2 | 119 50.0 | 164 09.8 S18 41.8 | 358 01.4 N23 29.6 | 119 22.6 S 1 12.4 | 293 35.0 S 0 22.9
3 | 134 52.4 | 179 10.6 S18 41.0 | 13 04.5 N23 29.9 | 134 24.8 S 1 12.3 | 308 37.3 S 0 23.0
4 | 149 54.9 | 194 11.3 S18 40.2 | 28 07.6 N23 30.1 | 149 27.1 S 1 12.2 | 323 39.7 S 0 23.0
T 5 | 164 57.4 | 209 12.1 S18 39.5 | 43 10.7 N23 30.4 | 164 29.3 S 1 12.1 | 338 42.0 S 0 23.1
U
E 6 | 179 59.8 | 224 12.9 S18 38.7 | 58 13.8 N23 30.6 | 179 31.6 S 1 12.0 | 353 44.4 S 0 23.1
S 7 | 195 02.3 | 239 13.6 S18 38.0 | 73 16.9 N23 30.8 | 194 33.9 S 1 11.9 | 8 46.8 S 0 23.1
D 8 | 210 04.8 | 254 14.4 S18 37.2 | 88 20.0 N23 31.1 | 209 36.1 S 1 11.8 | 23 49.1 S 0 23.2
A 9 | 225 07.2 | 269 15.2 S18 36.4 | 103 23.1 N23 31.3 | 224 38.4 S 1 11.7 | 38 51.5 S 0 23.2
Y 10 | 240 09.7 | 284 16.0 S18 35.7 | 118 26.3 N23 31.6 | 239 40.6 S 1 11.6 | 53 53.8 S 0 23.2
11 | 255 12.1 | 299 16.7 S18 34.9 | 133 29.4 N23 31.8 | 254 42.9 S 1 11.5 | 68 56.2 S 0 23.3
12 | 270 14.6 | 314 17.5 S18 34.1 | 148 32.5 N23 32.1 | 269 45.2 S 1 11.4 | 83 58.5 S 0 23.3
13 | 285 17.1 | 329 18.3 S18 33.4 | 163 35.6 N23 32.3 | 284 47.4 S 1 11.3 | 99 00.9 S 0 23.3
14 | 300 19.5 | 344 19.1 S18 32.6 | 178 38.7 N23 32.6 | 299 49.7 S 1 11.2 | 114 03.2 S 0 23.4
15 | 315 22.0 | 359 19.9 S18 31.8 | 193 41.8 N23 32.8 | 314 51.9 S 1 11.1 | 129 05.6 S 0 23.4
16 | 330 24.5 | 14 20.7 S18 31.1 | 208 45.0 N23 33.1 | 329 54.2 S 1 11.0 | 144 08.0 S 0 23.4
17 | 345 26.9 | 29 21.5 S18 30.3 | 223 48.1 N23 33.3 | 344 56.4 S 1 10.9 | 159 10.3 S 0 23.5
18 | 0 29.4 | 44 22.3 S18 29.5 | 238 51.2 N23 33.5 | 359 58.7 S 1 10.8 | 174 12.7 S 0 23.5
19 | 15 31.9 | 59 23.1 S18 28.7 | 253 54.3 N23 33.8 | 15 01.0 S 1 10.7 | 189 15.0 S 0 23.5
20 | 30 34.3 | 74 23.9 S18 28.0 | 268 57.5 N23 34.0 | 30 03.2 S 1 10.6 | 204 17.4 S 0 23.6
21 | 45 36.8 | 89 24.7 S18 27.2 | 284 00.6 N23 34.3 | 45 05.5 S 1 10.5 | 219 19.7 S 0 23.6
22 | 60 39.3 | 104 25.5 S18 26.4 | 299 03.7 N23 34.5 | 60 07.7 S 1 10.4 | 234 22.1 S 0 23.6
23 | 75 41.7 | 119 26.3 S18 25.7 | 314 06.8 N23 34.8 | 75 10.0 S 1 10.3 | 249 24.5 S 0 23.7
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| v 0.7 d 0.8 | v 3.1 d 0.2 | v 2.3 d 0.1 | v 2.4 d 0.0
2686 DEC. 19, 20, 21 (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 | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
19 0 | 181 06.9 S23 18.7 | 34 54.4 11.2 N13 57.5 7.1 56.2 | Acamar 308 52.5 S37 35.2
1 | 196 06.7 S23 18.8 | 49 24.6 11.2 N14 04.5 7.0 56.2 | Achernar 329 08.8 S53 46.5
2 | 211 06.4 S23 18.9 | 63 54.8 11.2 N14 11.5 6.9 56.2 | Acrux 163 40.0 S66 53.0
3 | 226 06.1 S23 18.9 | 78 25.0 11.2 N14 18.3 6.9 56.2 | Adhara 248 32.5 S29 56.0
4 | 241 05.8 S23 19.0 | 92 55.2 11.2 N14 25.1 6.8 56.2 | Albireo 60 21.3 N29 25.7
S 5 | 256 05.5 S23 19.0 | 107 25.4 11.2 N14 31.8 6.7 56.1 |
U | | | Aldebaran 281 06.7 N17 50.7
N 6 | 271 05.2 S23 19.1 | 121 55.5 11.2 N14 38.4 6.6 56.1 | Alioth 158 56.2 N52 14.8
D 7 | 286 04.9 S23 19.1 | 136 25.7 11.1 N14 44.9 6.5 56.1 | Alkaid 146 19.4 N45 54.4
A 8 | 301 04.6 S23 19.2 | 150 55.8 11.1 N14 51.4 6.5 56.1 | Al Na-ir 17 09.1 S43 37.7
Y 9 | 316 04.3 S23 19.2 | 165 25.9 11.1 N14 57.8 6.4 56.1 | Alnilam 267 11.0 S 0 48.3
10 | 331 04.0 S23 19.3 | 179 56.0 11.1 N15 04.1 6.3 56.0 |
11 | 346 03.7 S23 19.3 | 194 26.1 11.1 N15 10.3 6.2 56.0 | Alphard 209 37.3 S11 39.0
| | | Alphecca 119 01.0 N24 26.1
12 | 1 03.4 S23 19.4 | 208 56.2 11.1 N15 16.5 6.1 56.0 | Alpheratz 348 57.7 N32 52.4
13 | 16 03.1 S23 19.4 | 223 26.3 11.1 N15 22.5 6.1 56.0 | Altair 53 53.7 N10 42.7
14 | 31 02.8 S23 19.5 | 237 56.4 11.1 N15 28.5 6.0 56.0 | Ankaa 344 55.9 S38 35.9
15 | 46 02.5 S23 19.5 | 252 26.4 11.1 N15 34.4 5.9 55.9 |
16 | 61 02.2 S23 19.6 | 266 56.5 11.0 N15 40.2 5.8 55.9 | Antares 102 04.3 S27 54.4
17 | 76 01.9 S23 19.6 | 281 26.5 11.0 N15 46.0 5.7 55.9 | Arcturus 138 12.8 N15 38.0
| | | Atria 89 33.0 S70 12.6
18 | 91 01.6 S23 19.7 | 295 56.6 11.0 N15 51.6 5.7 55.9 | Avior 230 47.6 S61 43.5
19 | 106 01.3 S23 19.7 | 310 26.6 11.0 N15 57.2 5.6 55.9 | Bellatrix 269 27.5 N 6 55.7
20 | 121 01.0 S23 19.8 | 324 56.6 11.0 N16 02.7 5.5 55.9 |
21 | 136 00.7 S23 19.8 | 339 26.6 11.0 N16 08.1 5.4 55.8 | Betelgeuse 261 51.8 N 7 29.5
22 | 151 00.4 S23 19.8 | 353 56.6 11.0 N16 13.4 5.3 55.8 | Canopus 260 08.0 S53 05.4
23 | 166 00.1 S23 19.9 | 8 26.5 11.0 N16 18.6 5.2 55.8 | Capella 268 05.2 N46 38.3
------+-------------------+----------------------------------| Castor 235 22.3 N30 20.6
20 0 | 180 59.8 S23 19.9 | 22 56.5 11.0 N16 23.8 5.1 55.8 | Deneb 43 44.6 N47 45.1
1 | 195 59.5 S23 20.0 | 37 26.5 11.0 N16 28.8 5.1 55.8 |
2 | 210 59.2 S23 20.0 | 51 56.4 11.0 N16 33.8 5.0 55.7 | Denebola 173 56.9 N10 44.4
3 | 225 58.9 S23 20.0 | 66 26.4 10.9 N16 38.7 4.9 55.7 | Diphda 340 27.1 S14 14.2
4 | 240 58.6 S23 20.1 | 80 56.3 10.9 N16 43.5 4.8 55.7 | Dubhe 183 32.5 N58 02.1
M 5 | 255 58.3 S23 20.1 | 95 26.3 10.9 N16 48.2 4.7 55.7 | Elnath 267 31.4 N29 08.2
O | | | Eltanin 86 48.9 N51 25.7
N 6 | 270 58.0 S23 20.1 | 109 56.2 10.9 N16 52.8 4.6 55.7 |
D 7 | 285 57.7 S23 20.2 | 124 26.1 10.9 N16 57.3 4.5 55.6 | Enif 25 29.0 N13 02.2
A 8 | 300 57.4 S23 20.2 | 138 56.0 10.9 N17 01.8 4.4 55.6 | Fomalhaut 6 05.6 S25 59.1
Y 9 | 315 57.1 S23 20.2 | 153 25.9 10.9 N17 06.2 4.4 55.6 | Gacrux 162 34.3 S60 56.2
10 | 330 56.8 S23 20.3 | 167 55.8 10.9 N17 10.4 4.3 55.6 | Gienah 167 09.8 S21 20.4
11 | 345 56.5 S23 20.3 | 182 25.7 10.9 N17 14.6 4.2 55.6 | Hadar 136 47.3 S63 38.7
| | |
12 | 0 56.2 S23 20.3 | 196 55.6 10.9 N17 18.7 4.1 55.6 | Hamal 318 27.5 N26 40.8
13 | 15 55.9 S23 20.4 | 211 25.5 10.9 N17 22.7 4.0 55.5 | Kaus Austr. 72 32.4 S34 00.8
14 | 30 55.6 S23 20.4 | 225 55.4 10.9 N17 26.6 3.9 55.5 | Kochab 137 38.9 N71 21.1
15 | 45 55.3 S23 20.4 | 240 25.3 10.9 N17 30.4 3.8 55.5 | Markab 5 12.6 N18 54.0
16 | 60 55.0 S23 20.4 | 254 55.2 10.9 N17 34.2 3.7 55.5 | Menkar 305 23.9 N 6 44.8
17 | 75 54.7 S23 20.5 | 269 25.1 10.9 N17 37.8 3.6 55.5 |
| | | Menkent 138 09.0 S39 42.8
18 | 90 54.4 S23 20.5 | 283 54.9 10.9 N17 41.4 3.6 55.4 | Miaplacidus 219 47.1 S72 32.4
19 | 105 54.1 S23 20.5 | 298 24.8 10.9 N17 44.8 3.5 55.4 | Mirfak 296 33.4 N52 15.5
20 | 120 53.8 S23 20.5 | 312 54.7 10.9 N17 48.2 3.4 55.4 | Nunki 65 31.2 S25 24.1
21 | 135 53.5 S23 20.6 | 327 24.6 10.9 N17 51.5 3.3 55.4 | Peacock 40 04.1 S54 29.8
22 | 150 53.2 S23 20.6 | 341 54.4 10.9 N17 54.6 3.2 55.4 |
23 | 165 52.9 S23 20.6 | 356 24.3 10.9 N17 57.7 3.1 55.4 | Polaris 148 45.3 N92 20.0
------+-------------------+----------------------------------| Pollux 233 08.6 N26 19.7
21 0 | 180 52.6 S23 20.6 | 10 54.2 10.9 N18 00.7 3.0 55.3 | Procyon 236 09.1 N 3 25.9
1 | 195 52.3 S23 20.6 | 25 24.1 10.9 N18 03.6 2.9 55.3 | Rasalhague 88 15.5 N12 05.9
2 | 210 52.0 S23 20.7 | 39 54.0 10.9 N18 06.5 2.8 55.3 | Regulus 198 44.2 N 8 36.0
3 | 225 51.7 S23 20.7 | 54 23.8 10.9 N18 09.2 2.7 55.3 |
4 | 240 51.4 S23 20.7 | 68 53.7 10.9 N18 11.8 2.6 55.3 | Rigel 273 03.7 S 7 26.9
T 5 | 255 51.1 S23 20.7 | 83 23.6 10.9 N18 14.4 2.5 55.3 | Rigil Kent 128 19.1 S63 37.6
U | | | Sabik 92 31.2 S16 31.8
E 6 | 270 50.8 S23 20.7 | 97 53.5 10.9 N18 16.8 2.4 55.2 | Schedar 340 00.5 N60 17.4
S 7 | 285 50.5 S23 20.7 | 112 23.4 10.9 N18 19.2 2.4 55.2 | Shaula 84 54.3 S37 33.1
D 8 | 300 50.2 S23 20.8 | 126 53.3 10.9 N18 21.4 2.3 55.2 |
A 9 | 315 49.9 S23 20.8 | 141 23.2 10.9 N18 23.6 2.2 55.2 | Sirius 251 06.1 S17 41.4
Y 10 | 330 49.6 S23 20.8 | 155 53.1 10.9 N18 25.7 2.1 55.2 | Spica 149 36.2 S14 43.1
11 | 345 49.3 S23 20.8 | 170 23.0 10.9 N18 27.6 2.0 55.2 | Suhail 216 37.4 S46 12.9
| | | Vega 74 54.6 N39 26.9
12 | 0 49.0 S23 20.8 | 184 53.0 10.9 N18 29.5 1.9 55.1 | Zuben-ubi 128 00.8 S18 51.4
13 | 15 48.7 S23 20.8 | 199 22.9 10.9 N18 31.3 1.8 55.1 |
14 | 30 48.4 S23 20.8 | 213 52.8 10.9 N18 33.0 1.7 55.1 |
15 | 45 48.1 S23 20.8 | 228 22.8 10.9 N18 34.6 1.6 55.1 |
16 | 60 47.8 S23 20.8 | 242 52.7 11.0 N18 36.1 1.5 55.1 |
17 | 75 47.5 S23 20.8 | 257 22.7 11.0 N18 37.6 1.4 55.1 |
| | |
18 | 90 47.2 S23 20.8 | 271 52.7 11.0 N18 38.9 1.3 55.0 |
19 | 105 46.9 S23 20.9 | 286 22.7 11.0 N18 40.1 1.2 55.0 |
20 | 120 46.6 S23 20.9 | 300 52.7 11.0 N18 41.3 1.1 55.0 |
21 | 135 46.3 S23 20.9 | 315 22.7 11.0 N18 42.3 1.0 55.0 |
22 | 150 46.0 S23 20.9 | 329 52.7 11.0 N18 43.3 1.0 55.0 |
23 | 165 45.7 S23 20.9 | 344 22.7 11.0 N18 44.1 0.9 55.0 |
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|S.D. 16.2 d 0.0 | S.D. 15.3 15.1 15.0 |
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