
2281 DEC. 18, 19, 20 (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 | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
18 0 | 86 51.6 | 165 05.3 S23 58.0 | 144 13.0 S21 16.8 | 141 07.3 S19 52.4 | 184 48.6 S21 56.6
1 | 101 54.1 | 180 04.4 S23 57.8 | 159 13.4 S21 16.3 | 156 09.2 S19 52.3 | 199 50.7 S21 56.7
2 | 116 56.6 | 195 03.4 S23 57.6 | 174 13.9 S21 15.9 | 171 11.1 S19 52.2 | 214 52.8 S21 56.7
3 | 131 59.0 | 210 02.5 S23 57.5 | 189 14.3 S21 15.5 | 186 13.0 S19 52.0 | 229 55.0 S21 56.7
4 | 147 01.5 | 225 01.5 S23 57.3 | 204 14.7 S21 15.1 | 201 14.9 S19 51.9 | 244 57.1 S21 56.7
S 5 | 162 04.0 | 240 00.5 S23 57.1 | 219 15.1 S21 14.6 | 216 16.9 S19 51.8 | 259 59.3 S21 56.7
U
N 6 | 177 06.4 | 254 59.6 S23 56.9 | 234 15.6 S21 14.2 | 231 18.8 S19 51.7 | 275 01.4 S21 56.8
D 7 | 192 08.9 | 269 58.6 S23 56.8 | 249 16.0 S21 13.8 | 246 20.7 S19 51.6 | 290 03.6 S21 56.8
A 8 | 207 11.4 | 284 57.7 S23 56.6 | 264 16.4 S21 13.4 | 261 22.6 S19 51.4 | 305 05.7 S21 56.8
Y 9 | 222 13.8 | 299 56.7 S23 56.4 | 279 16.8 S21 12.9 | 276 24.5 S19 51.3 | 320 07.9 S21 56.8
10 | 237 16.3 | 314 55.7 S23 56.2 | 294 17.3 S21 12.5 | 291 26.4 S19 51.2 | 335 10.0 S21 56.8
11 | 252 18.8 | 329 54.8 S23 56.0 | 309 17.7 S21 12.1 | 306 28.4 S19 51.1 | 350 12.2 S21 56.8
12 | 267 21.2 | 344 53.8 S23 55.8 | 324 18.1 S21 11.6 | 321 30.3 S19 51.0 | 5 14.3 S21 56.9
13 | 282 23.7 | 359 52.9 S23 55.6 | 339 18.6 S21 11.2 | 336 32.2 S19 50.8 | 20 16.5 S21 56.9
14 | 297 26.1 | 14 51.9 S23 55.5 | 354 19.0 S21 10.8 | 351 34.1 S19 50.7 | 35 18.6 S21 56.9
15 | 312 28.6 | 29 50.9 S23 55.3 | 9 19.4 S21 10.4 | 6 36.0 S19 50.6 | 50 20.8 S21 56.9
16 | 327 31.1 | 44 50.0 S23 55.1 | 24 19.8 S21 09.9 | 21 37.9 S19 50.5 | 65 22.9 S21 56.9
17 | 342 33.5 | 59 49.0 S23 54.9 | 39 20.3 S21 09.5 | 36 39.9 S19 50.3 | 80 25.1 S21 57.0
18 | 357 36.0 | 74 48.1 S23 54.7 | 54 20.7 S21 09.1 | 51 41.8 S19 50.2 | 95 27.2 S21 57.0
19 | 12 38.5 | 89 47.1 S23 54.5 | 69 21.1 S21 08.6 | 66 43.7 S19 50.1 | 110 29.3 S21 57.0
20 | 27 40.9 | 104 46.1 S23 54.3 | 84 21.5 S21 08.2 | 81 45.6 S19 50.0 | 125 31.5 S21 57.0
21 | 42 43.4 | 119 45.2 S23 54.1 | 99 22.0 S21 07.8 | 96 47.5 S19 49.9 | 140 33.6 S21 57.0
22 | 57 45.9 | 134 44.2 S23 53.9 | 114 22.4 S21 07.3 | 111 49.4 S19 49.7 | 155 35.8 S21 57.0
23 | 72 48.3 | 149 43.3 S23 53.7 | 129 22.8 S21 06.9 | 126 51.3 S19 49.6 | 170 37.9 S21 57.1
------+----------+-------------------+-------------------+-------------------+--------------------
19 0 | 87 50.8 | 164 42.3 S23 53.5 | 144 23.3 S21 06.5 | 141 53.3 S19 49.5 | 185 40.1 S21 57.1
1 | 102 53.2 | 179 41.4 S23 53.3 | 159 23.7 S21 06.0 | 156 55.2 S19 49.4 | 200 42.2 S21 57.1
2 | 117 55.7 | 194 40.4 S23 53.1 | 174 24.1 S21 05.6 | 171 57.1 S19 49.2 | 215 44.4 S21 57.1
3 | 132 58.2 | 209 39.4 S23 52.9 | 189 24.5 S21 05.2 | 186 59.0 S19 49.1 | 230 46.5 S21 57.1
4 | 148 00.6 | 224 38.5 S23 52.7 | 204 25.0 S21 04.7 | 202 00.9 S19 49.0 | 245 48.7 S21 57.2
M 5 | 163 03.1 | 239 37.5 S23 52.5 | 219 25.4 S21 04.3 | 217 02.8 S19 48.9 | 260 50.8 S21 57.2
O
N 6 | 178 05.6 | 254 36.6 S23 52.2 | 234 25.8 S21 03.9 | 232 04.8 S19 48.8 | 275 53.0 S21 57.2
D 7 | 193 08.0 | 269 35.6 S23 52.0 | 249 26.3 S21 03.4 | 247 06.7 S19 48.6 | 290 55.1 S21 57.2
A 8 | 208 10.5 | 284 34.7 S23 51.8 | 264 26.7 S21 03.0 | 262 08.6 S19 48.5 | 305 57.3 S21 57.2
Y 9 | 223 13.0 | 299 33.7 S23 51.6 | 279 27.1 S21 02.6 | 277 10.5 S19 48.4 | 320 59.4 S21 57.2
10 | 238 15.4 | 314 32.8 S23 51.4 | 294 27.5 S21 02.1 | 292 12.4 S19 48.3 | 336 01.6 S21 57.3
11 | 253 17.9 | 329 31.8 S23 51.2 | 309 28.0 S21 01.7 | 307 14.3 S19 48.1 | 351 03.7 S21 57.3
12 | 268 20.4 | 344 30.8 S23 51.0 | 324 28.4 S21 01.2 | 322 16.2 S19 48.0 | 6 05.8 S21 57.3
13 | 283 22.8 | 359 29.9 S23 50.7 | 339 28.8 S21 00.8 | 337 18.1 S19 47.9 | 21 08.0 S21 57.3
14 | 298 25.3 | 14 28.9 S23 50.5 | 354 29.3 S21 00.4 | 352 20.1 S19 47.8 | 36 10.1 S21 57.3
15 | 313 27.7 | 29 28.0 S23 50.3 | 9 29.7 S20 59.9 | 7 22.0 S19 47.7 | 51 12.3 S21 57.3
16 | 328 30.2 | 44 27.0 S23 50.1 | 24 30.1 S20 59.5 | 22 23.9 S19 47.5 | 66 14.4 S21 57.4
17 | 343 32.7 | 59 26.1 S23 49.9 | 39 30.6 S20 59.0 | 37 25.8 S19 47.4 | 81 16.6 S21 57.4
18 | 358 35.1 | 74 25.1 S23 49.6 | 54 31.0 S20 58.6 | 52 27.7 S19 47.3 | 96 18.7 S21 57.4
19 | 13 37.6 | 89 24.2 S23 49.4 | 69 31.4 S20 58.2 | 67 29.6 S19 47.2 | 111 20.9 S21 57.4
20 | 28 40.1 | 104 23.2 S23 49.2 | 84 31.9 S20 57.7 | 82 31.5 S19 47.0 | 126 23.0 S21 57.4
21 | 43 42.5 | 119 22.3 S23 48.9 | 99 32.3 S20 57.3 | 97 33.5 S19 46.9 | 141 25.2 S21 57.5
22 | 58 45.0 | 134 21.3 S23 48.7 | 114 32.7 S20 56.8 | 112 35.4 S19 46.8 | 156 27.3 S21 57.5
23 | 73 47.5 | 149 20.4 S23 48.5 | 129 33.1 S20 56.4 | 127 37.3 S19 46.7 | 171 29.5 S21 57.5
------+----------+-------------------+-------------------+-------------------+--------------------
20 0 | 88 49.9 | 164 19.4 S23 48.3 | 144 33.6 S20 56.0 | 142 39.2 S19 46.5 | 186 31.6 S21 57.5
1 | 103 52.4 | 179 18.5 S23 48.0 | 159 34.0 S20 55.5 | 157 41.1 S19 46.4 | 201 33.8 S21 57.5
2 | 118 54.9 | 194 17.5 S23 47.8 | 174 34.4 S20 55.1 | 172 43.0 S19 46.3 | 216 35.9 S21 57.5
3 | 133 57.3 | 209 16.6 S23 47.5 | 189 34.9 S20 54.6 | 187 44.9 S19 46.2 | 231 38.1 S21 57.6
4 | 148 59.8 | 224 15.6 S23 47.3 | 204 35.3 S20 54.2 | 202 46.8 S19 46.1 | 246 40.2 S21 57.6
T 5 | 164 02.2 | 239 14.7 S23 47.1 | 219 35.7 S20 53.7 | 217 48.7 S19 45.9 | 261 42.3 S21 57.6
U
E 6 | 179 04.7 | 254 13.7 S23 46.8 | 234 36.2 S20 53.3 | 232 50.7 S19 45.8 | 276 44.5 S21 57.6
S 7 | 194 07.2 | 269 12.8 S23 46.6 | 249 36.6 S20 52.8 | 247 52.6 S19 45.7 | 291 46.6 S21 57.6
D 8 | 209 09.6 | 284 11.8 S23 46.3 | 264 37.0 S20 52.4 | 262 54.5 S19 45.6 | 306 48.8 S21 57.6
A 9 | 224 12.1 | 299 10.9 S23 46.1 | 279 37.5 S20 51.9 | 277 56.4 S19 45.4 | 321 50.9 S21 57.7
Y 10 | 239 14.6 | 314 09.9 S23 45.9 | 294 37.9 S20 51.5 | 292 58.3 S19 45.3 | 336 53.1 S21 57.7
11 | 254 17.0 | 329 09.0 S23 45.6 | 309 38.3 S20 51.1 | 308 00.2 S19 45.2 | 351 55.2 S21 57.7
12 | 269 19.5 | 344 08.0 S23 45.4 | 324 38.8 S20 50.6 | 323 02.1 S19 45.1 | 6 57.4 S21 57.7
13 | 284 22.0 | 359 07.1 S23 45.1 | 339 39.2 S20 50.2 | 338 04.0 S19 44.9 | 21 59.5 S21 57.7
14 | 299 24.4 | 14 06.1 S23 44.9 | 354 39.6 S20 49.7 | 353 06.0 S19 44.8 | 37 01.7 S21 57.8
15 | 314 26.9 | 29 05.2 S23 44.6 | 9 40.1 S20 49.3 | 8 07.9 S19 44.7 | 52 03.8 S21 57.8
16 | 329 29.3 | 44 04.2 S23 44.4 | 24 40.5 S20 48.8 | 23 09.8 S19 44.6 | 67 06.0 S21 57.8
17 | 344 31.8 | 59 03.3 S23 44.1 | 39 40.9 S20 48.4 | 38 11.7 S19 44.4 | 82 08.1 S21 57.8
18 | 359 34.3 | 74 02.3 S23 43.8 | 54 41.4 S20 47.9 | 53 13.6 S19 44.3 | 97 10.3 S21 57.8
19 | 14 36.7 | 89 01.4 S23 43.6 | 69 41.8 S20 47.5 | 68 15.5 S19 44.2 | 112 12.4 S21 57.8
20 | 29 39.2 | 104 00.4 S23 43.3 | 84 42.2 S20 47.0 | 83 17.4 S19 44.1 | 127 14.6 S21 57.9
21 | 44 41.7 | 118 59.5 S23 43.1 | 99 42.7 S20 46.6 | 98 19.3 S19 43.9 | 142 16.7 S21 57.9
22 | 59 44.1 | 133 58.5 S23 42.8 | 114 43.1 S20 46.1 | 113 21.2 S19 43.8 | 157 18.9 S21 57.9
23 | 74 46.6 | 148 57.6 S23 42.5 | 129 43.5 S20 45.7 | 128 23.1 S19 43.7 | 172 21.0 S21 57.9
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| v -1.0 d 0.2 | v 0.4 d 0.4 | v 1.9 d 0.1 | v 2.1 d 0.0
2281 DEC. 18, 19, 20 (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 | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
18 0 | 181 01.9 S23 20.9 | 105 37.9 11.2 S13 36.2 12.5 57.9 | Acamar 312 45.0 S39 11.3
1 | 196 01.6 S23 21.0 | 120 08.1 11.2 S13 23.6 12.6 57.9 | Achernar 332 56.5 S55 49.0
2 | 211 01.3 S23 21.0 | 134 38.4 11.2 S13 11.0 12.6 57.9 | Acrux 169 23.5 S64 39.0
3 | 226 01.0 S23 21.1 | 149 08.6 11.3 S12 58.3 12.7 58.0 | Adhara 252 33.7 S29 21.9
4 | 241 00.7 S23 21.2 | 163 38.9 11.3 S12 45.5 12.8 58.0 | Albireo 64 28.7 N28 33.7
S 5 | 256 00.4 S23 21.3 | 178 09.2 11.3 S12 32.6 12.9 58.0 |
U | | | Aldebaran 286 57.7 N17 03.6
N 6 | 271 00.1 S23 21.3 | 192 39.6 11.3 S12 19.7 12.9 58.0 | Alioth 163 24.2 N54 25.9
D 7 | 285 59.8 S23 21.4 | 207 09.9 11.4 S12 06.7 13.0 58.1 | Alkaid 150 20.5 N47 54.6
A 8 | 300 59.5 S23 21.5 | 221 40.4 11.4 S11 53.6 13.1 58.1 | Al Na-ir 23 31.5 S45 35.7
Y 9 | 315 59.2 S23 21.5 | 236 10.8 11.4 S11 40.4 13.2 58.1 | Alnilam 272 21.5 S 1 02.2
10 | 330 58.8 S23 21.6 | 250 41.2 11.5 S11 27.2 13.2 58.1 |
11 | 345 58.5 S23 21.7 | 265 11.7 11.5 S11 13.9 13.3 58.2 | Alphard 214 38.0 S 9 53.2
| | | Alphecca 123 20.6 N25 46.6
12 | 0 58.2 S23 21.7 | 279 42.2 11.5 S11 00.6 13.4 58.2 | Alpheratz 354 14.7 N30 38.8
13 | 15 57.9 S23 21.8 | 294 12.8 11.5 S10 47.1 13.4 58.2 | Altair 58 52.1 N 9 37.5
14 | 30 57.6 S23 21.8 | 308 43.3 11.6 S10 33.6 13.5 58.2 | Ankaa 349 57.1 S40 47.1
15 | 45 57.3 S23 21.9 | 323 13.9 11.6 S10 20.1 13.6 58.2 |
16 | 60 57.0 S23 22.0 | 337 44.5 11.6 S10 06.5 13.6 58.3 | Antares 108 19.4 S27 02.3
17 | 75 56.7 S23 22.0 | 352 15.1 11.6 S 9 52.8 13.7 58.3 | Arcturus 142 52.1 N17 43.4
| | | Atria 100 20.9 S69 30.8
18 | 90 56.4 S23 22.1 | 6 45.7 11.6 S 9 39.1 13.7 58.3 | Avior 232 54.8 S60 25.0
19 | 105 56.1 S23 22.1 | 21 16.4 11.7 S 9 25.3 13.8 58.3 | Bellatrix 274 55.5 N 6 35.3
20 | 120 55.8 S23 22.2 | 35 47.0 11.7 S 9 11.4 13.9 58.4 |
21 | 135 55.5 S23 22.3 | 50 17.7 11.7 S 8 57.5 13.9 58.4 | Betelgeuse 267 22.9 N 7 26.6
22 | 150 55.2 S23 22.3 | 64 48.4 11.7 S 8 43.5 14.0 58.4 | Canopus 262 25.7 S52 51.3
23 | 165 54.9 S23 22.4 | 79 19.1 11.7 S 8 29.5 14.0 58.4 | Capella 275 36.3 N46 15.8
------+-------------------+----------------------------------| Castor 241 51.1 N31 15.3
19 0 | 180 54.6 S23 22.4 | 93 49.9 11.7 S 8 15.4 14.1 58.5 | Deneb 47 14.3 N46 17.7
1 | 195 54.3 S23 22.5 | 108 20.6 11.7 S 8 01.3 14.1 58.5 |
2 | 210 54.0 S23 22.5 | 122 51.4 11.8 S 7 47.1 14.2 58.5 | Denebola 179 08.4 N12 59.9
3 | 225 53.7 S23 22.6 | 137 22.1 11.8 S 7 32.9 14.2 58.5 | Diphda 345 33.8 S16 26.8
4 | 240 53.4 S23 22.6 | 151 52.9 11.8 S 7 18.6 14.3 58.6 | Dubhe 189 45.3 N60 13.3
M 5 | 255 53.1 S23 22.7 | 166 23.7 11.8 S 7 04.3 14.3 58.6 | Elnath 273 57.6 N28 49.6
O | | | Eltanin 89 12.7 N51 27.7
N 6 | 270 52.8 S23 22.7 | 180 54.5 11.8 S 6 49.9 14.4 58.6 |
D 7 | 285 52.4 S23 22.8 | 195 25.3 11.8 S 6 35.4 14.4 58.6 | Enif 30 29.5 N11 10.4
A 8 | 300 52.1 S23 22.8 | 209 56.1 11.8 S 6 21.0 14.5 58.7 | Fomalhaut 11 42.2 S28 07.8
Y 9 | 315 51.8 S23 22.9 | 224 26.9 11.8 S 6 06.5 14.5 58.7 | Gacrux 168 16.1 S58 40.9
10 | 330 51.5 S23 22.9 | 238 57.7 11.8 S 5 51.9 14.6 58.7 | Gienah 172 24.9 S19 06.0
11 | 345 51.2 S23 23.0 | 253 28.5 11.8 S 5 37.3 14.6 58.7 | Hadar 144 01.9 S61 42.9
| | |
12 | 0 50.9 S23 23.0 | 267 59.3 11.8 S 5 22.7 14.6 58.7 | Hamal 324 13.0 N24 47.2
13 | 15 50.6 S23 23.1 | 282 30.1 11.8 S 5 08.0 14.7 58.8 | Kaus Austr. 79 17.2 S34 14.1
14 | 30 50.3 S23 23.1 | 297 01.0 11.8 S 4 53.3 14.7 58.8 | Kochab 137 28.6 N73 00.0
15 | 45 50.0 S23 23.1 | 311 31.8 11.8 S 4 38.5 14.7 58.8 | Markab 10 17.6 N16 43.4
16 | 60 49.7 S23 23.2 | 326 02.6 11.8 S 4 23.8 14.8 58.8 | Menkar 310 43.9 N 5 10.9
17 | 75 49.4 S23 23.2 | 340 33.4 11.8 S 4 08.9 14.8 58.9 |
| | | Menkent 144 10.0 S37 44.6
18 | 90 49.1 S23 23.3 | 355 04.2 11.8 S 3 54.1 14.9 58.9 | Miaplacidus 220 55.6 S70 52.4
19 | 105 48.8 S23 23.3 | 9 35.0 11.8 S 3 39.2 14.9 58.9 | Mirfak 303 51.2 N50 50.9
20 | 120 48.5 S23 23.3 | 24 05.8 11.8 S 3 24.3 14.9 58.9 | Nunki 71 49.3 S25 55.8
21 | 135 48.2 S23 23.4 | 38 36.5 11.8 S 3 09.4 14.9 59.0 | Peacock 48 03.2 S55 49.1
22 | 150 47.9 S23 23.4 | 53 07.3 11.8 S 2 54.4 15.0 59.0 |
23 | 165 47.6 S23 23.4 | 67 38.1 11.8 S 2 39.4 15.0 59.0 | Polaris 251 10.8 N90 31.0
------+-------------------+----------------------------------| Pollux 239 21.5 N27 19.8
20 0 | 180 47.3 S23 23.5 | 82 08.8 11.7 S 2 24.4 15.0 59.0 | Procyon 241 28.8 N 4 29.4
1 | 195 46.9 S23 23.5 | 96 39.5 11.7 S 2 09.3 15.0 59.0 | Rasalhague 92 59.7 N12 22.1
2 | 210 46.6 S23 23.6 | 111 10.3 11.7 S 1 54.3 15.1 59.1 | Regulus 204 09.2 N10 35.1
3 | 225 46.3 S23 23.6 | 125 41.0 11.7 S 1 39.2 15.1 59.1 |
4 | 240 46.0 S23 23.6 | 140 11.6 11.7 S 1 24.1 15.1 59.1 | Rigel 277 58.0 S 7 53.4
T 5 | 255 45.7 S23 23.6 | 154 42.3 11.7 S 1 08.9 15.1 59.1 | Rigil Kent 135 17.0 S61 58.8
U | | | Sabik 98 21.8 S16 03.4
E 6 | 270 45.4 S23 23.7 | 169 13.0 11.6 S 0 53.8 15.1 59.2 | Schedar 345 50.2 N58 04.9
S 7 | 285 45.1 S23 23.7 | 183 43.6 11.6 S 0 38.6 15.2 59.2 | Shaula 91 48.8 S37 17.4
D 8 | 300 44.8 S23 23.7 | 198 14.2 11.6 S 0 23.4 15.2 59.2 |
A 9 | 315 44.5 S23 23.8 | 212 44.8 11.6 S 0 08.2 15.2 59.2 | Sirius 255 35.9 S17 06.9
Y 10 | 330 44.2 S23 23.8 | 227 15.3 11.6 N 0 07.0 15.2 59.2 | Spica 154 58.9 S12 37.4
11 | 345 43.9 S23 23.8 | 241 45.9 11.5 N 0 22.2 15.2 59.3 | Suhail 220 23.7 S44 34.3
| | | Vega 78 22.8 N39 03.3
12 | 0 43.6 S23 23.8 | 256 16.4 11.5 N 0 37.4 15.2 59.3 | Zuben-ubi 133 29.6 S17 11.9
13 | 15 43.3 S23 23.9 | 270 46.9 11.5 N 0 52.6 15.2 59.3 |
14 | 30 43.0 S23 23.9 | 285 17.3 11.5 N 1 07.9 15.2 59.3 |
15 | 45 42.7 S23 23.9 | 299 47.8 11.4 N 1 23.1 15.2 59.3 |
16 | 60 42.4 S23 23.9 | 314 18.1 11.4 N 1 38.4 15.2 59.4 |
17 | 75 42.0 S23 24.0 | 328 48.5 11.4 N 1 53.6 15.3 59.4 |
| | |
18 | 90 41.7 S23 24.0 | 343 18.8 11.3 N 2 08.9 15.3 59.4 |
19 | 105 41.4 S23 24.0 | 357 49.1 11.3 N 2 24.1 15.3 59.4 |
20 | 120 41.1 S23 24.0 | 12 19.4 11.3 N 2 39.4 15.3 59.5 |
21 | 135 40.8 S23 24.0 | 26 49.6 11.2 N 2 54.6 15.2 59.5 |
22 | 150 40.5 S23 24.0 | 41 19.8 11.2 N 3 09.8 15.2 59.5 |
23 | 165 40.2 S23 24.1 | 55 49.9 11.1 N 3 25.1 15.2 59.5 |
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|S.D. 16.3 d 0.0 | S.D. 15.9 16.0 16.2 |
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