
2768 DEC. 20, 21, 22 (FRI, SAT, SUN)
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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 | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
20 0 | 88 54.5 | 222 29.7 S15 03.7 | 161 53.6 S23 25.6 | 118 02.9 S12 49.1 | 351 06.5 N22 01.0
1 | 103 57.0 | 237 29.2 S15 04.6 | 176 54.0 S23 25.4 | 133 04.9 S12 48.9 | 6 09.2 N22 01.0
2 | 118 59.5 | 252 28.7 S15 05.4 | 191 54.4 S23 25.2 | 148 07.0 S12 48.8 | 21 11.9 N22 01.0
3 | 134 01.9 | 267 28.1 S15 06.2 | 206 54.8 S23 25.0 | 163 09.0 S12 48.6 | 36 14.6 N22 01.0
4 | 149 04.4 | 282 27.6 S15 07.1 | 221 55.2 S23 24.8 | 178 11.1 S12 48.5 | 51 17.2 N22 01.0
F 5 | 164 06.9 | 297 27.1 S15 07.9 | 236 55.6 S23 24.6 | 193 13.1 S12 48.3 | 66 19.9 N22 01.0
R
I 6 | 179 09.3 | 312 26.6 S15 08.7 | 251 56.0 S23 24.3 | 208 15.2 S12 48.1 | 81 22.6 N22 01.1
D 7 | 194 11.8 | 327 26.1 S15 09.5 | 266 56.4 S23 24.1 | 223 17.2 S12 48.0 | 96 25.3 N22 01.1
A 8 | 209 14.3 | 342 25.6 S15 10.4 | 281 56.9 S23 23.9 | 238 19.3 S12 47.8 | 111 28.0 N22 01.1
Y 9 | 224 16.7 | 357 25.0 S15 11.2 | 296 57.3 S23 23.7 | 253 21.3 S12 47.7 | 126 30.7 N22 01.1
10 | 239 19.2 | 12 24.5 S15 12.0 | 311 57.7 S23 23.5 | 268 23.4 S12 47.5 | 141 33.3 N22 01.1
11 | 254 21.7 | 27 24.0 S15 12.8 | 326 58.1 S23 23.3 | 283 25.4 S12 47.4 | 156 36.0 N22 01.1
12 | 269 24.1 | 42 23.5 S15 13.7 | 341 58.5 S23 23.1 | 298 27.5 S12 47.2 | 171 38.7 N22 01.1
13 | 284 26.6 | 57 23.0 S15 14.5 | 356 58.9 S23 22.9 | 313 29.5 S12 47.1 | 186 41.4 N22 01.1
14 | 299 29.0 | 72 22.4 S15 15.3 | 11 59.3 S23 22.6 | 328 31.6 S12 46.9 | 201 44.1 N22 01.2
15 | 314 31.5 | 87 21.9 S15 16.1 | 26 59.7 S23 22.4 | 343 33.6 S12 46.8 | 216 46.7 N22 01.2
16 | 329 34.0 | 102 21.4 S15 17.0 | 42 00.1 S23 22.2 | 358 35.7 S12 46.6 | 231 49.4 N22 01.2
17 | 344 36.4 | 117 20.9 S15 17.8 | 57 00.6 S23 22.0 | 13 37.7 S12 46.5 | 246 52.1 N22 01.2
18 | 359 38.9 | 132 20.4 S15 18.6 | 72 01.0 S23 21.8 | 28 39.8 S12 46.3 | 261 54.8 N22 01.2
19 | 14 41.4 | 147 19.8 S15 19.4 | 87 01.4 S23 21.6 | 43 41.8 S12 46.2 | 276 57.5 N22 01.2
20 | 29 43.8 | 162 19.3 S15 20.3 | 102 01.8 S23 21.3 | 58 43.9 S12 46.0 | 292 00.2 N22 01.2
21 | 44 46.3 | 177 18.8 S15 21.1 | 117 02.2 S23 21.1 | 73 45.9 S12 45.9 | 307 02.8 N22 01.3
22 | 59 48.8 | 192 18.3 S15 21.9 | 132 02.6 S23 20.9 | 88 47.9 S12 45.7 | 322 05.5 N22 01.3
23 | 74 51.2 | 207 17.7 S15 22.7 | 147 03.0 S23 20.7 | 103 50.0 S12 45.5 | 337 08.2 N22 01.3
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21 0 | 89 53.7 | 222 17.2 S15 23.5 | 162 03.4 S23 20.5 | 118 52.0 S12 45.4 | 352 10.9 N22 01.3
1 | 104 56.2 | 237 16.7 S15 24.3 | 177 03.8 S23 20.2 | 133 54.1 S12 45.2 | 7 13.6 N22 01.3
2 | 119 58.6 | 252 16.2 S15 25.2 | 192 04.2 S23 20.0 | 148 56.1 S12 45.1 | 22 16.3 N22 01.3
3 | 135 01.1 | 267 15.6 S15 26.0 | 207 04.7 S23 19.8 | 163 58.2 S12 44.9 | 37 18.9 N22 01.3
4 | 150 03.5 | 282 15.1 S15 26.8 | 222 05.1 S23 19.6 | 179 00.2 S12 44.8 | 52 21.6 N22 01.4
S 5 | 165 06.0 | 297 14.6 S15 27.6 | 237 05.5 S23 19.4 | 194 02.3 S12 44.6 | 67 24.3 N22 01.4
A
T 6 | 180 08.5 | 312 14.1 S15 28.4 | 252 05.9 S23 19.1 | 209 04.3 S12 44.5 | 82 27.0 N22 01.4
U 7 | 195 10.9 | 327 13.5 S15 29.2 | 267 06.3 S23 18.9 | 224 06.4 S12 44.3 | 97 29.7 N22 01.4
R 8 | 210 13.4 | 342 13.0 S15 30.1 | 282 06.7 S23 18.7 | 239 08.4 S12 44.2 | 112 32.3 N22 01.4
D 9 | 225 15.9 | 357 12.5 S15 30.9 | 297 07.1 S23 18.5 | 254 10.4 S12 44.0 | 127 35.0 N22 01.4
A 10 | 240 18.3 | 12 11.9 S15 31.7 | 312 07.5 S23 18.2 | 269 12.5 S12 43.9 | 142 37.7 N22 01.4
Y 11 | 255 20.8 | 27 11.4 S15 32.5 | 327 07.9 S23 18.0 | 284 14.5 S12 43.7 | 157 40.4 N22 01.5
12 | 270 23.3 | 42 10.9 S15 33.3 | 342 08.4 S23 17.8 | 299 16.6 S12 43.5 | 172 43.1 N22 01.5
13 | 285 25.7 | 57 10.3 S15 34.1 | 357 08.8 S23 17.6 | 314 18.6 S12 43.4 | 187 45.8 N22 01.5
14 | 300 28.2 | 72 09.8 S15 34.9 | 12 09.2 S23 17.3 | 329 20.7 S12 43.2 | 202 48.4 N22 01.5
15 | 315 30.6 | 87 09.3 S15 35.7 | 27 09.6 S23 17.1 | 344 22.7 S12 43.1 | 217 51.1 N22 01.5
16 | 330 33.1 | 102 08.8 S15 36.5 | 42 10.0 S23 16.9 | 359 24.7 S12 42.9 | 232 53.8 N22 01.5
17 | 345 35.6 | 117 08.2 S15 37.4 | 57 10.4 S23 16.7 | 14 26.8 S12 42.8 | 247 56.5 N22 01.5
18 | 0 38.0 | 132 07.7 S15 38.2 | 72 10.8 S23 16.4 | 29 28.8 S12 42.6 | 262 59.2 N22 01.6
19 | 15 40.5 | 147 07.1 S15 39.0 | 87 11.2 S23 16.2 | 44 30.9 S12 42.5 | 278 01.9 N22 01.6
20 | 30 43.0 | 162 06.6 S15 39.8 | 102 11.6 S23 16.0 | 59 32.9 S12 42.3 | 293 04.5 N22 01.6
21 | 45 45.4 | 177 06.1 S15 40.6 | 117 12.1 S23 15.7 | 74 35.0 S12 42.1 | 308 07.2 N22 01.6
22 | 60 47.9 | 192 05.5 S15 41.4 | 132 12.5 S23 15.5 | 89 37.0 S12 42.0 | 323 09.9 N22 01.6
23 | 75 50.4 | 207 05.0 S15 42.2 | 147 12.9 S23 15.3 | 104 39.0 S12 41.8 | 338 12.6 N22 01.6
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22 0 | 90 52.8 | 222 04.5 S15 43.0 | 162 13.3 S23 15.1 | 119 41.1 S12 41.7 | 353 15.3 N22 01.6
1 | 105 55.3 | 237 03.9 S15 43.8 | 177 13.7 S23 14.8 | 134 43.1 S12 41.5 | 8 18.0 N22 01.7
2 | 120 57.8 | 252 03.4 S15 44.6 | 192 14.1 S23 14.6 | 149 45.2 S12 41.4 | 23 20.6 N22 01.7
3 | 136 00.2 | 267 02.8 S15 45.4 | 207 14.5 S23 14.4 | 164 47.2 S12 41.2 | 38 23.3 N22 01.7
4 | 151 02.7 | 282 02.3 S15 46.2 | 222 14.9 S23 14.1 | 179 49.2 S12 41.1 | 53 26.0 N22 01.7
S 5 | 166 05.1 | 297 01.8 S15 47.0 | 237 15.3 S23 13.9 | 194 51.3 S12 40.9 | 68 28.7 N22 01.7
U
N 6 | 181 07.6 | 312 01.2 S15 47.8 | 252 15.8 S23 13.7 | 209 53.3 S12 40.7 | 83 31.4 N22 01.7
D 7 | 196 10.1 | 327 00.7 S15 48.6 | 267 16.2 S23 13.4 | 224 55.4 S12 40.6 | 98 34.1 N22 01.7
A 8 | 211 12.5 | 342 00.1 S15 49.4 | 282 16.6 S23 13.2 | 239 57.4 S12 40.4 | 113 36.7 N22 01.8
Y 9 | 226 15.0 | 356 59.6 S15 50.2 | 297 17.0 S23 13.0 | 254 59.4 S12 40.3 | 128 39.4 N22 01.8
10 | 241 17.5 | 11 59.1 S15 51.0 | 312 17.4 S23 12.7 | 270 01.5 S12 40.1 | 143 42.1 N22 01.8
11 | 256 19.9 | 26 58.5 S15 51.8 | 327 17.8 S23 12.5 | 285 03.5 S12 40.0 | 158 44.8 N22 01.8
12 | 271 22.4 | 41 58.0 S15 52.6 | 342 18.2 S23 12.3 | 300 05.6 S12 39.8 | 173 47.5 N22 01.8
13 | 286 24.9 | 56 57.4 S15 53.4 | 357 18.6 S23 12.0 | 315 07.6 S12 39.7 | 188 50.2 N22 01.8
14 | 301 27.3 | 71 56.9 S15 54.2 | 12 19.0 S23 11.8 | 330 09.6 S12 39.5 | 203 52.8 N22 01.8
15 | 316 29.8 | 86 56.3 S15 55.0 | 27 19.5 S23 11.5 | 345 11.7 S12 39.3 | 218 55.5 N22 01.9
16 | 331 32.3 | 101 55.8 S15 55.8 | 42 19.9 S23 11.3 | 0 13.7 S12 39.2 | 233 58.2 N22 01.9
17 | 346 34.7 | 116 55.2 S15 56.6 | 57 20.3 S23 11.1 | 15 15.8 S12 39.0 | 249 00.9 N22 01.9
18 | 1 37.2 | 131 54.7 S15 57.4 | 72 20.7 S23 10.8 | 30 17.8 S12 38.9 | 264 03.6 N22 01.9
19 | 16 39.6 | 146 54.1 S15 58.2 | 87 21.1 S23 10.6 | 45 19.8 S12 38.7 | 279 06.3 N22 01.9
20 | 31 42.1 | 161 53.6 S15 59.0 | 102 21.5 S23 10.4 | 60 21.9 S12 38.6 | 294 08.9 N22 01.9
21 | 46 44.6 | 176 53.0 S15 59.8 | 117 21.9 S23 10.1 | 75 23.9 S12 38.4 | 309 11.6 N22 01.9
22 | 61 47.0 | 191 52.5 S16 00.6 | 132 22.3 S23 09.9 | 90 25.9 S12 38.2 | 324 14.3 N22 02.0
23 | 76 49.5 | 206 51.9 S16 01.4 | 147 22.8 S23 09.6 | 105 28.0 S12 38.1 | 339 17.0 N22 02.0
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| v -0.5 d 0.8 | v 0.4 d 0.2 | v 2.0 d 0.2 | v 2.7 d 0.0
2768 DEC. 20, 21, 22 (FRI, SAT, SUN)
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| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
20 0 | 181 01.2 S23 19.7 | 303 00.3 10.8 N17 45.3 12.8 57.7 | Acamar 308 05.0 S37 15.5
1 | 196 00.9 S23 19.7 | 317 30.2 10.9 N17 32.5 12.8 57.7 | Achernar 328 21.9 S53 21.6
2 | 211 00.6 S23 19.7 | 332 00.2 11.0 N17 19.6 12.9 57.6 | Acrux 162 30.9 S67 20.1
3 | 226 00.3 S23 19.8 | 346 30.3 11.1 N17 06.7 13.0 57.6 | Adhara 247 43.5 S30 02.6
4 | 241 00.0 S23 19.8 | 1 00.6 11.3 N16 53.6 13.0 57.6 | Albireo 59 31.1 N29 35.9
F 5 | 255 59.7 S23 19.8 | 15 31.0 11.4 N16 40.6 13.1 57.5 |
R | | | Aldebaran 279 55.5 N18 00.5
I 6 | 270 59.4 S23 19.9 | 30 01.5 11.5 N16 27.4 13.2 57.5 | Alioth 158 01.2 N51 48.2
D 7 | 285 59.1 S23 19.9 | 44 32.1 11.6 N16 14.2 13.2 57.4 | Alkaid 145 30.0 N45 29.9
A 8 | 300 58.8 S23 19.9 | 59 02.8 11.7 N16 00.9 13.3 57.4 | Al Na-ir 15 51.2 S43 14.0
Y 9 | 315 58.5 S23 20.0 | 73 33.7 11.9 N15 47.6 13.3 57.4 | Alnilam 266 07.9 S 0 45.1
10 | 330 58.2 S23 20.0 | 88 04.7 12.0 N15 34.2 13.4 57.3 |
11 | 345 57.9 S23 20.0 | 102 35.8 12.1 N15 20.7 13.4 57.3 | Alphard 208 36.3 S12 00.2
| | | Alphecca 118 08.2 N24 09.6
12 | 0 57.6 S23 20.0 | 117 07.0 12.2 N15 07.2 13.5 57.3 | Alpheratz 347 53.4 N33 19.4
13 | 15 57.3 S23 20.1 | 131 38.3 12.3 N14 53.7 13.6 57.2 | Altair 52 53.1 N10 55.6
14 | 30 57.1 S23 20.1 | 146 09.7 12.4 N14 40.1 13.6 57.2 | Ankaa 343 54.5 S38 09.3
15 | 45 56.8 S23 20.1 | 160 41.2 12.5 N14 26.4 13.7 57.1 |
16 | 60 56.5 S23 20.1 | 175 12.8 12.6 N14 12.7 13.7 57.1 | Antares 100 48.3 S28 05.3
17 | 75 56.2 S23 20.2 | 189 44.6 12.7 N13 59.0 13.7 57.1 | Arcturus 137 15.9 N15 12.5
| | | Atria 87 21.9 S70 21.3
18 | 90 55.9 S23 20.2 | 204 16.4 12.8 N13 45.2 13.8 57.0 | Avior 230 21.9 S61 59.1
19 | 105 55.6 S23 20.2 | 218 48.4 12.9 N13 31.3 13.8 57.0 | Bellatrix 268 20.9 N 7 00.1
20 | 120 55.3 S23 20.2 | 233 20.4 13.0 N13 17.5 13.9 57.0 |
21 | 135 55.0 S23 20.3 | 247 52.6 13.1 N13 03.5 13.9 56.9 | Betelgeuse 260 44.6 N 7 30.5
22 | 150 54.7 S23 20.3 | 262 24.8 13.2 N12 49.6 14.0 56.9 | Canopus 259 39.9 S53 07.9
23 | 165 54.4 S23 20.3 | 276 57.2 13.3 N12 35.6 14.0 56.8 | Capella 266 33.7 N46 43.2
------+-------------------+----------------------------------| Castor 234 03.3 N30 09.8
21 0 | 180 54.1 S23 20.3 | 291 29.6 13.4 N12 21.6 14.0 56.8 | Deneb 43 02.1 N48 02.5
1 | 195 53.8 S23 20.3 | 306 02.1 13.5 N12 07.5 14.1 56.8 |
2 | 210 53.5 S23 20.3 | 320 34.8 13.6 N11 53.4 14.1 56.7 | Denebola 172 53.5 N10 17.1
3 | 225 53.2 S23 20.4 | 335 07.5 13.7 N11 39.2 14.1 56.7 | Diphda 339 24.7 S13 47.4
4 | 240 52.9 S23 20.4 | 349 40.3 13.8 N11 25.1 14.2 56.7 | Dubhe 182 16.3 N57 35.7
S 5 | 255 52.6 S23 20.4 | 4 13.2 13.9 N11 10.9 14.2 56.6 | Elnath 266 13.1 N29 12.3
A | | | Eltanin 86 19.5 N51 24.9
T 6 | 270 52.3 S23 20.4 | 18 46.2 14.0 N10 56.6 14.2 56.6 |
U 7 | 285 52.0 S23 20.4 | 33 19.3 14.1 N10 42.4 14.3 56.5 | Enif 24 28.0 N13 24.6
R 8 | 300 51.7 S23 20.4 | 47 52.4 14.2 N10 28.1 14.3 56.5 | Fomalhaut 4 57.1 S25 33.2
D 9 | 315 51.4 S23 20.4 | 62 25.7 14.2 N10 13.8 14.3 56.5 | Gacrux 161 25.4 S61 23.6
A 10 | 330 51.1 S23 20.5 | 76 59.0 14.3 N 9 59.5 14.3 56.4 | Gienah 166 05.9 S21 47.5
Y 11 | 345 50.8 S23 20.5 | 91 32.4 14.4 N 9 45.1 14.4 56.4 | Hadar 135 19.7 S64 02.3
| | |
12 | 0 50.5 S23 20.5 | 106 05.9 14.5 N 9 30.7 14.4 56.4 | Hamal 317 17.5 N27 03.9
13 | 15 50.2 S23 20.5 | 120 39.4 14.6 N 9 16.3 14.4 56.3 | Kaus Austr. 71 10.3 S33 58.5
14 | 30 49.9 S23 20.5 | 135 13.1 14.6 N 9 01.9 14.4 56.3 | Kochab 137 39.8 N71 00.9
15 | 45 49.6 S23 20.5 | 149 46.8 14.7 N 8 47.5 14.4 56.3 | Markab 4 10.7 N19 20.3
16 | 60 49.3 S23 20.5 | 164 20.6 14.8 N 8 33.0 14.5 56.2 | Menkar 304 18.9 N 7 04.0
17 | 75 49.0 S23 20.5 | 178 54.5 14.9 N 8 18.5 14.5 56.2 |
| | | Menkent 136 55.9 S40 06.9
18 | 90 48.7 S23 20.5 | 193 28.4 14.9 N 8 04.0 14.5 56.2 | Miaplacidus 219 33.6 S72 52.4
19 | 105 48.4 S23 20.5 | 208 02.4 15.0 N 7 49.5 14.5 56.1 | Mirfak 295 04.9 N52 32.9
20 | 120 48.1 S23 20.5 | 222 36.5 15.1 N 7 35.0 14.5 56.1 | Nunki 64 14.4 S25 18.0
21 | 135 47.8 S23 20.5 | 237 10.6 15.1 N 7 20.5 14.5 56.1 | Peacock 38 26.6 S54 14.1
22 | 150 47.5 S23 20.5 | 251 44.8 15.2 N 7 05.9 14.5 56.0 |
23 | 165 47.2 S23 20.5 | 266 19.1 15.3 N 6 51.4 14.6 56.0 | Polaris 128 23.0 N92 42.2
------+-------------------+----------------------------------| Pollux 231 52.9 N26 07.9
22 0 | 180 46.9 S23 20.5 | 280 53.4 15.3 N 6 36.8 14.6 56.0 | Procyon 235 04.1 N 3 13.3
1 | 195 46.6 S23 20.5 | 295 27.8 15.4 N 6 22.2 14.6 55.9 | Rasalhague 87 17.7 N12 02.3
2 | 210 46.3 S23 20.5 | 310 02.2 15.4 N 6 07.6 14.6 55.9 | Regulus 197 38.1 N 8 12.1
3 | 225 46.0 S23 20.5 | 324 36.7 15.5 N 5 53.0 14.6 55.9 |
4 | 240 45.7 S23 20.5 | 339 11.3 15.6 N 5 38.4 14.6 55.8 | Rigel 272 03.9 S 7 21.2
S 5 | 255 45.4 S23 20.5 | 353 45.9 15.6 N 5 23.8 14.6 55.8 | Rigil Kent 126 54.8 S63 57.8
U | | | Sabik 91 20.0 S16 37.8
N 6 | 270 45.1 S23 20.5 | 8 20.6 15.7 N 5 09.2 14.6 55.8 | Schedar 338 50.0 N60 44.2
D 7 | 285 44.8 S23 20.5 | 22 55.3 15.7 N 4 54.6 14.6 55.7 | Shaula 83 30.2 S37 36.7
A 8 | 300 44.5 S23 20.5 | 37 30.1 15.8 N 4 40.0 14.6 55.7 |
Y 9 | 315 44.2 S23 20.5 | 52 04.9 15.8 N 4 25.4 14.6 55.7 | Sirius 250 11.3 S17 48.1
10 | 330 43.9 S23 20.5 | 66 39.8 15.9 N 4 10.8 14.6 55.7 | Spica 148 30.7 S15 08.7
11 | 345 43.6 S23 20.4 | 81 14.7 15.9 N 3 56.2 14.6 55.6 | Suhail 215 51.6 S46 32.6
| | | Vega 74 12.3 N39 31.4
12 | 0 43.3 S23 20.4 | 95 49.7 16.0 N 3 41.5 14.6 55.6 | Zuben-ubi 126 54.1 S19 11.8
13 | 15 43.0 S23 20.4 | 110 24.7 16.0 N 3 26.9 14.6 55.6 |
14 | 30 42.7 S23 20.4 | 124 59.8 16.1 N 3 12.3 14.6 55.5 |
15 | 45 42.4 S23 20.4 | 139 34.9 16.1 N 2 57.7 14.6 55.5 |
16 | 60 42.1 S23 20.4 | 154 10.0 16.1 N 2 43.1 14.6 55.5 |
17 | 75 41.8 S23 20.4 | 168 45.2 16.2 N 2 28.5 14.6 55.5 |
| | |
18 | 90 41.5 S23 20.3 | 183 20.4 16.2 N 2 13.9 14.6 55.4 |
19 | 105 41.2 S23 20.3 | 197 55.7 16.3 N 1 59.3 14.6 55.4 |
20 | 120 40.9 S23 20.3 | 212 31.0 16.3 N 1 44.7 14.6 55.4 |
21 | 135 40.6 S23 20.3 | 227 06.3 16.3 N 1 30.2 14.6 55.3 |
22 | 150 40.3 S23 20.3 | 241 41.7 16.4 N 1 15.6 14.6 55.3 |
23 | 165 40.0 S23 20.3 | 256 17.0 16.4 N 1 01.1 14.6 55.3 |
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|S.D. 16.2 d 0.0 | S.D. 15.6 15.4 15.1 |
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