
2451 DEC. 23, 24, 25 (SAT, SUN, MON)
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| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
23 0 | 91 37.6 | 136 31.4 S18 17.2 | 299 47.3 N14 53.4 | 12 17.2 N22 24.4 | 259 35.7 S 2 41.3
1 | 106 40.1 | 151 32.5 S18 16.5 | 314 49.5 N14 53.5 | 27 20.0 N22 24.4 | 274 38.0 S 2 41.3
2 | 121 42.5 | 166 33.7 S18 15.7 | 329 51.7 N14 53.5 | 42 22.8 N22 24.4 | 289 40.3 S 2 41.4
3 | 136 45.0 | 181 34.8 S18 15.0 | 344 53.9 N14 53.5 | 57 25.6 N22 24.4 | 304 42.7 S 2 41.4
4 | 151 47.5 | 196 35.9 S18 14.3 | 359 56.1 N14 53.5 | 72 28.4 N22 24.3 | 319 45.0 S 2 41.4
S 5 | 166 49.9 | 211 37.0 S18 13.5 | 14 58.4 N14 53.5 | 87 31.2 N22 24.3 | 334 47.4 S 2 41.5
A
T 6 | 181 52.4 | 226 38.1 S18 12.8 | 30 00.6 N14 53.6 | 102 34.1 N22 24.3 | 349 49.7 S 2 41.5
U 7 | 196 54.9 | 241 39.3 S18 12.1 | 45 02.8 N14 53.6 | 117 36.9 N22 24.3 | 4 52.0 S 2 41.6
R 8 | 211 57.3 | 256 40.4 S18 11.3 | 60 05.0 N14 53.6 | 132 39.7 N22 24.3 | 19 54.4 S 2 41.6
D 9 | 226 59.8 | 271 41.5 S18 10.6 | 75 07.3 N14 53.6 | 147 42.5 N22 24.3 | 34 56.7 S 2 41.6
A 10 | 242 02.3 | 286 42.7 S18 09.8 | 90 09.5 N14 53.7 | 162 45.3 N22 24.2 | 49 59.1 S 2 41.7
Y 11 | 257 04.7 | 301 43.8 S18 09.1 | 105 11.7 N14 53.7 | 177 48.2 N22 24.2 | 65 01.4 S 2 41.7
12 | 272 07.2 | 316 45.0 S18 08.4 | 120 14.0 N14 53.7 | 192 51.0 N22 24.2 | 80 03.7 S 2 41.8
13 | 287 09.6 | 331 46.1 S18 07.6 | 135 16.2 N14 53.7 | 207 53.8 N22 24.2 | 95 06.1 S 2 41.8
14 | 302 12.1 | 346 47.3 S18 06.9 | 150 18.4 N14 53.8 | 222 56.6 N22 24.2 | 110 08.4 S 2 41.8
15 | 317 14.6 | 1 48.4 S18 06.2 | 165 20.7 N14 53.8 | 237 59.4 N22 24.1 | 125 10.8 S 2 41.9
16 | 332 17.0 | 16 49.6 S18 05.4 | 180 22.9 N14 53.8 | 253 02.2 N22 24.1 | 140 13.1 S 2 41.9
17 | 347 19.5 | 31 50.7 S18 04.7 | 195 25.2 N14 53.8 | 268 05.1 N22 24.1 | 155 15.4 S 2 42.0
18 | 2 22.0 | 46 51.9 S18 04.0 | 210 27.4 N14 53.9 | 283 07.9 N22 24.1 | 170 17.8 S 2 42.0
19 | 17 24.4 | 61 53.1 S18 03.2 | 225 29.6 N14 53.9 | 298 10.7 N22 24.1 | 185 20.1 S 2 42.0
20 | 32 26.9 | 76 54.2 S18 02.5 | 240 31.9 N14 53.9 | 313 13.5 N22 24.1 | 200 22.5 S 2 42.1
21 | 47 29.4 | 91 55.4 S18 01.7 | 255 34.1 N14 53.9 | 328 16.3 N22 24.0 | 215 24.8 S 2 42.1
22 | 62 31.8 | 106 56.6 S18 01.0 | 270 36.4 N14 54.0 | 343 19.1 N22 24.0 | 230 27.1 S 2 42.2
23 | 77 34.3 | 121 57.7 S18 00.3 | 285 38.6 N14 54.0 | 358 22.0 N22 24.0 | 245 29.5 S 2 42.2
------+----------+-------------------+-------------------+-------------------+--------------------
24 0 | 92 36.8 | 136 58.9 S17 59.5 | 300 40.9 N14 54.0 | 13 24.8 N22 24.0 | 260 31.8 S 2 42.2
1 | 107 39.2 | 152 00.1 S17 58.8 | 315 43.1 N14 54.1 | 28 27.6 N22 24.0 | 275 34.2 S 2 42.3
2 | 122 41.7 | 167 01.3 S17 58.1 | 330 45.4 N14 54.1 | 43 30.4 N22 24.0 | 290 36.5 S 2 42.3
3 | 137 44.1 | 182 02.5 S17 57.3 | 345 47.6 N14 54.1 | 58 33.2 N22 23.9 | 305 38.9 S 2 42.4
4 | 152 46.6 | 197 03.7 S17 56.6 | 0 49.9 N14 54.2 | 73 36.0 N22 23.9 | 320 41.2 S 2 42.4
S 5 | 167 49.1 | 212 04.9 S17 55.9 | 15 52.1 N14 54.2 | 88 38.9 N22 23.9 | 335 43.5 S 2 42.4
U
N 6 | 182 51.5 | 227 06.1 S17 55.1 | 30 54.4 N14 54.2 | 103 41.7 N22 23.9 | 350 45.9 S 2 42.5
D 7 | 197 54.0 | 242 07.3 S17 54.4 | 45 56.6 N14 54.2 | 118 44.5 N22 23.9 | 5 48.2 S 2 42.5
A 8 | 212 56.5 | 257 08.5 S17 53.6 | 60 58.9 N14 54.3 | 133 47.3 N22 23.9 | 20 50.6 S 2 42.6
Y 9 | 227 58.9 | 272 09.7 S17 52.9 | 76 01.2 N14 54.3 | 148 50.1 N22 23.8 | 35 52.9 S 2 42.6
10 | 243 01.4 | 287 10.9 S17 52.2 | 91 03.4 N14 54.4 | 163 52.9 N22 23.8 | 50 55.2 S 2 42.6
11 | 258 03.9 | 302 12.1 S17 51.4 | 106 05.7 N14 54.4 | 178 55.8 N22 23.8 | 65 57.6 S 2 42.7
12 | 273 06.3 | 317 13.3 S17 50.7 | 121 07.9 N14 54.4 | 193 58.6 N22 23.8 | 80 59.9 S 2 42.7
13 | 288 08.8 | 332 14.5 S17 50.0 | 136 10.2 N14 54.5 | 209 01.4 N22 23.8 | 96 02.3 S 2 42.7
14 | 303 11.3 | 347 15.7 S17 49.2 | 151 12.5 N14 54.5 | 224 04.2 N22 23.7 | 111 04.6 S 2 42.8
15 | 318 13.7 | 2 17.0 S17 48.5 | 166 14.7 N14 54.5 | 239 07.0 N22 23.7 | 126 07.0 S 2 42.8
16 | 333 16.2 | 17 18.2 S17 47.8 | 181 17.0 N14 54.6 | 254 09.8 N22 23.7 | 141 09.3 S 2 42.9
17 | 348 18.6 | 32 19.4 S17 47.0 | 196 19.3 N14 54.6 | 269 12.6 N22 23.7 | 156 11.7 S 2 42.9
18 | 3 21.1 | 47 20.6 S17 46.3 | 211 21.5 N14 54.6 | 284 15.5 N22 23.7 | 171 14.0 S 2 42.9
19 | 18 23.6 | 62 21.9 S17 45.5 | 226 23.8 N14 54.7 | 299 18.3 N22 23.7 | 186 16.3 S 2 43.0
20 | 33 26.0 | 77 23.1 S17 44.8 | 241 26.1 N14 54.7 | 314 21.1 N22 23.6 | 201 18.7 S 2 43.0
21 | 48 28.5 | 92 24.3 S17 44.1 | 256 28.4 N14 54.8 | 329 23.9 N22 23.6 | 216 21.0 S 2 43.1
22 | 63 31.0 | 107 25.6 S17 43.3 | 271 30.6 N14 54.8 | 344 26.7 N22 23.6 | 231 23.4 S 2 43.1
23 | 78 33.4 | 122 26.8 S17 42.6 | 286 32.9 N14 54.8 | 359 29.5 N22 23.6 | 246 25.7 S 2 43.1
------+----------+-------------------+-------------------+-------------------+--------------------
25 0 | 93 35.9 | 137 28.1 S17 41.9 | 301 35.2 N14 54.9 | 14 32.3 N22 23.6 | 261 28.1 S 2 43.2
1 | 108 38.4 | 152 29.3 S17 41.1 | 316 37.5 N14 54.9 | 29 35.1 N22 23.6 | 276 30.4 S 2 43.2
2 | 123 40.8 | 167 30.6 S17 40.4 | 331 39.8 N14 55.0 | 44 38.0 N22 23.5 | 291 32.8 S 2 43.2
3 | 138 43.3 | 182 31.9 S17 39.7 | 346 42.0 N14 55.0 | 59 40.8 N22 23.5 | 306 35.1 S 2 43.3
4 | 153 45.8 | 197 33.1 S17 38.9 | 1 44.3 N14 55.0 | 74 43.6 N22 23.5 | 321 37.5 S 2 43.3
M 5 | 168 48.2 | 212 34.4 S17 38.2 | 16 46.6 N14 55.1 | 89 46.4 N22 23.5 | 336 39.8 S 2 43.4
O
N 6 | 183 50.7 | 227 35.7 S17 37.5 | 31 48.9 N14 55.1 | 104 49.2 N22 23.5 | 351 42.1 S 2 43.4
D 7 | 198 53.1 | 242 36.9 S17 36.7 | 46 51.2 N14 55.2 | 119 52.0 N22 23.5 | 6 44.5 S 2 43.4
A 8 | 213 55.6 | 257 38.2 S17 36.0 | 61 53.5 N14 55.2 | 134 54.8 N22 23.4 | 21 46.8 S 2 43.5
Y 9 | 228 58.1 | 272 39.5 S17 35.3 | 76 55.8 N14 55.3 | 149 57.6 N22 23.4 | 36 49.2 S 2 43.5
10 | 244 00.5 | 287 40.8 S17 34.5 | 91 58.0 N14 55.3 | 165 00.5 N22 23.4 | 51 51.5 S 2 43.5
11 | 259 03.0 | 302 42.0 S17 33.8 | 107 00.3 N14 55.4 | 180 03.3 N22 23.4 | 66 53.9 S 2 43.6
12 | 274 05.5 | 317 43.3 S17 33.1 | 122 02.6 N14 55.4 | 195 06.1 N22 23.4 | 81 56.2 S 2 43.6
13 | 289 07.9 | 332 44.6 S17 32.3 | 137 04.9 N14 55.5 | 210 08.9 N22 23.3 | 96 58.6 S 2 43.7
14 | 304 10.4 | 347 45.9 S17 31.6 | 152 07.2 N14 55.5 | 225 11.7 N22 23.3 | 112 00.9 S 2 43.7
15 | 319 12.9 | 2 47.2 S17 30.8 | 167 09.5 N14 55.5 | 240 14.5 N22 23.3 | 127 03.3 S 2 43.7
16 | 334 15.3 | 17 48.5 S17 30.1 | 182 11.8 N14 55.6 | 255 17.3 N22 23.3 | 142 05.6 S 2 43.8
17 | 349 17.8 | 32 49.8 S17 29.4 | 197 14.1 N14 55.6 | 270 20.1 N22 23.3 | 157 08.0 S 2 43.8
18 | 4 20.3 | 47 51.1 S17 28.6 | 212 16.4 N14 55.7 | 285 22.9 N22 23.3 | 172 10.3 S 2 43.8
19 | 19 22.7 | 62 52.4 S17 27.9 | 227 18.7 N14 55.7 | 300 25.8 N22 23.2 | 187 12.7 S 2 43.9
20 | 34 25.2 | 77 53.7 S17 27.2 | 242 21.0 N14 55.8 | 315 28.6 N22 23.2 | 202 15.0 S 2 43.9
21 | 49 27.6 | 92 55.0 S17 26.4 | 257 23.3 N14 55.8 | 330 31.4 N22 23.2 | 217 17.4 S 2 43.9
22 | 64 30.1 | 107 56.3 S17 25.7 | 272 25.6 N14 55.9 | 345 34.2 N22 23.2 | 232 19.7 S 2 44.0
23 | 79 32.6 | 122 57.7 S17 25.0 | 287 27.9 N14 55.9 | 0 37.0 N22 23.2 | 247 22.1 S 2 44.0
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| v 1.2 d 0.7 | v 2.3 d 0.0 | v 2.8 d 0.0 | v 2.3 d 0.0
2451 DEC. 23, 24, 25 (SAT, SUN, MON)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
23 0 | 180 31.7 S23 22.7 | 184 58.8 9.7 S27 48.0 2.0 54.3 | Acamar 311 07.5 S38 30.8
1 | 195 31.4 S23 22.7 | 199 27.5 9.7 S27 49.8 1.8 54.2 | Achernar 331 20.9 S54 57.5
2 | 210 31.1 S23 22.7 | 213 56.2 9.7 S27 51.5 1.7 54.2 | Acrux 166 59.7 S65 35.4
3 | 225 30.8 S23 22.7 | 228 24.8 9.7 S27 53.1 1.6 54.2 | Adhara 250 52.6 S29 36.1
4 | 240 30.5 S23 22.7 | 242 53.5 9.7 S27 54.5 1.4 54.2 | Albireo 62 45.0 N28 55.4
S 5 | 255 30.2 S23 22.6 | 257 22.2 9.7 S27 55.8 1.3 54.2 |
A | | | Aldebaran 284 30.4 N17 23.5
T 6 | 270 29.9 S23 22.6 | 271 50.9 9.7 S27 57.0 1.2 54.2 | Alioth 161 31.5 N53 30.7
U 7 | 285 29.6 S23 22.6 | 286 19.5 9.7 S27 58.0 1.0 54.2 | Alkaid 148 39.2 N47 04.0
R 8 | 300 29.2 S23 22.6 | 300 48.2 9.7 S27 58.9 0.9 54.2 | Al Na-ir 20 50.9 S44 46.1
D 9 | 315 28.9 S23 22.5 | 315 16.9 9.7 S27 59.6 0.7 54.2 | Alnilam 270 11.3 S 0 56.2
A 10 | 330 28.6 S23 22.5 | 329 45.6 9.7 S28 00.2 0.6 54.2 |
Y 11 | 345 28.3 S23 22.5 | 344 14.3 9.7 S28 00.7 0.5 54.2 | Alphard 212 31.9 S10 37.6
| | | Alphecca 121 31.7 N25 12.6
12 | 0 28.0 S23 22.5 | 358 42.9 9.7 S28 01.0 0.3 54.1 | Alpheratz 352 01.9 N31 35.0
13 | 15 27.7 S23 22.4 | 13 11.6 9.7 S28 01.2 0.2 54.1 | Altair 56 47.0 N10 04.7
14 | 30 27.4 S23 22.4 | 27 40.3 9.7 S28 01.3 0.1 54.1 | Ankaa 347 50.7 S39 51.9
15 | 45 27.1 S23 22.4 | 42 09.1 9.7 S28 01.2 0.1 54.1 |
16 | 60 26.8 S23 22.3 | 56 37.8 9.7 S28 00.9 0.2 54.1 | Antares 105 42.0 S27 24.4
17 | 75 26.5 S23 22.3 | 71 06.5 9.7 S28 00.6 0.4 54.1 | Arcturus 140 54.9 N16 50.6
| | | Atria 95 48.9 S69 48.5
18 | 90 26.2 S23 22.3 | 85 35.3 9.8 S28 00.1 0.5 54.1 | Avior 232 01.8 S60 57.9
19 | 105 25.9 S23 22.2 | 100 04.0 9.8 S27 59.4 0.6 54.1 | Bellatrix 272 37.9 N 6 44.0
20 | 120 25.6 S23 22.2 | 114 32.8 9.8 S27 58.7 0.8 54.1 |
21 | 135 25.3 S23 22.2 | 129 01.6 9.8 S27 57.8 0.9 54.1 | Betelgeuse 265 04.0 N 7 28.0
22 | 150 25.0 S23 22.1 | 143 30.5 9.8 S27 56.7 1.0 54.1 | Canopus 261 28.1 S52 57.1
23 | 165 24.6 S23 22.1 | 157 59.3 9.8 S27 55.5 1.2 54.1 | Capella 272 26.9 N46 25.5
------+-------------------+----------------------------------| Castor 239 07.8 N30 52.4
24 0 | 180 24.3 S23 22.0 | 172 28.2 9.9 S27 54.2 1.3 54.1 | Deneb 45 46.6 N46 54.3
1 | 195 24.0 S23 22.0 | 186 57.0 9.9 S27 52.8 1.5 54.1 |
2 | 210 23.7 S23 22.0 | 201 25.9 9.9 S27 51.2 1.6 54.1 | Denebola 176 57.7 N12 02.9
3 | 225 23.4 S23 21.9 | 215 54.9 9.9 S27 49.4 1.7 54.0 | Diphda 343 25.1 S15 31.0
4 | 240 23.1 S23 21.9 | 230 23.8 10.0 S27 47.6 1.9 54.0 | Dubhe 187 08.5 N59 18.2
S 5 | 255 22.8 S23 21.8 | 244 52.8 10.0 S27 45.6 2.0 54.0 | Elnath 271 15.5 N28 57.6
U | | | Eltanin 88 12.6 N51 26.6
N 6 | 270 22.5 S23 21.8 | 259 21.8 10.0 S27 43.5 2.1 54.0 |
D 7 | 285 22.2 S23 21.8 | 273 50.9 10.0 S27 41.2 2.3 54.0 | Enif 28 23.5 N11 57.3
A 8 | 300 21.9 S23 21.7 | 288 20.0 10.1 S27 38.8 2.4 54.0 | Fomalhaut 9 20.9 S27 13.7
Y 9 | 315 21.6 S23 21.7 | 302 49.1 10.1 S27 36.3 2.5 54.0 | Gacrux 165 52.9 S59 37.8
10 | 330 21.3 S23 21.6 | 317 18.2 10.1 S27 33.6 2.7 54.0 | Gienah 170 12.7 S20 02.5
11 | 345 21.0 S23 21.6 | 331 47.4 10.2 S27 30.8 2.8 54.0 | Hadar 140 59.7 S62 31.7
| | |
12 | 0 20.7 S23 21.5 | 346 16.6 10.2 S27 27.9 2.9 54.0 | Hamal 321 48.1 N25 35.0
13 | 15 20.4 S23 21.5 | 0 45.9 10.3 S27 24.8 3.1 54.0 | Kaus Austr. 76 27.3 S34 08.7
14 | 30 20.0 S23 21.4 | 15 15.2 10.3 S27 21.6 3.2 54.0 | Kochab 137 32.8 N72 18.3
15 | 45 19.7 S23 21.4 | 29 44.5 10.3 S27 18.3 3.3 54.0 | Markab 8 09.7 N17 38.3
16 | 60 19.4 S23 21.3 | 44 13.9 10.4 S27 14.9 3.4 54.0 | Menkar 308 29.7 N 5 50.5
17 | 75 19.1 S23 21.3 | 58 43.3 10.4 S27 11.3 3.6 54.0 |
| | | Menkent 141 38.6 S38 34.4
18 | 90 18.8 S23 21.2 | 73 12.7 10.5 S27 07.6 3.7 54.0 | Miaplacidus 220 27.4 S71 34.4
19 | 105 18.5 S23 21.2 | 87 42.2 10.5 S27 03.7 3.8 54.0 | Mirfak 300 47.6 N51 26.6
20 | 120 18.2 S23 21.1 | 102 11.7 10.5 S26 59.8 4.0 54.0 | Nunki 69 10.6 S25 42.6
21 | 135 17.9 S23 21.1 | 116 41.3 10.6 S26 55.7 4.1 54.0 | Peacock 44 41.9 S55 15.9
22 | 150 17.6 S23 21.0 | 131 11.0 10.6 S26 51.5 4.2 54.0 |
23 | 165 17.3 S23 20.9 | 145 40.6 10.7 S26 47.1 4.3 54.0 | Polaris 208 18.5 N91 17.0
------+-------------------+----------------------------------| Pollux 236 45.0 N26 54.7
25 0 | 180 17.0 S23 20.9 | 160 10.4 10.7 S26 42.7 4.5 54.0 | Procyon 239 14.6 N 4 02.8
1 | 195 16.7 S23 20.8 | 174 40.1 10.8 S26 38.1 4.6 54.0 | Rasalhague 91 00.5 N12 15.1
2 | 210 16.4 S23 20.8 | 189 10.0 10.8 S26 33.3 4.7 54.0 | Regulus 201 52.8 N 9 45.1
3 | 225 16.1 S23 20.7 | 203 39.8 10.9 S26 28.5 4.8 54.0 |
4 | 240 15.8 S23 20.6 | 218 09.7 10.9 S26 23.5 5.0 54.0 | Rigel 275 54.6 S 7 42.1
M 5 | 255 15.5 S23 20.6 | 232 39.7 11.0 S26 18.5 5.1 53.9 | Rigil Kent 132 21.7 S62 40.5
O | | | Sabik 95 54.7 S16 15.5
N 6 | 270 15.1 S23 20.5 | 247 09.7 11.0 S26 13.2 5.2 53.9 | Schedar 343 23.8 N59 00.6
D 7 | 285 14.8 S23 20.5 | 261 39.8 11.1 S26 07.9 5.3 53.9 | Shaula 88 54.9 S37 24.2
A 8 | 300 14.5 S23 20.4 | 276 09.9 11.1 S26 02.5 5.4 53.9 |
Y 9 | 315 14.2 S23 20.3 | 290 40.1 11.2 S25 56.9 5.6 53.9 | Sirius 253 42.8 S17 21.2
10 | 330 13.9 S23 20.3 | 305 10.4 11.2 S25 51.2 5.7 53.9 | Spica 152 43.5 S13 30.3
11 | 345 13.6 S23 20.2 | 319 40.7 11.3 S25 45.4 5.8 53.9 | Suhail 218 48.9 S45 15.7
| | | Vega 76 55.6 N39 13.1
12 | 0 13.3 S23 20.1 | 334 11.0 11.4 S25 39.5 5.9 53.9 | Zuben-ubi 131 11.7 S17 53.9
13 | 15 13.0 S23 20.1 | 348 41.4 11.4 S25 33.5 6.0 53.9 |
14 | 30 12.7 S23 20.0 | 3 11.9 11.5 S25 27.3 6.2 53.9 |
15 | 45 12.4 S23 19.9 | 17 42.4 11.5 S25 21.0 6.3 53.9 |
16 | 60 12.1 S23 19.8 | 32 13.0 11.6 S25 14.6 6.4 53.9 |
17 | 75 11.8 S23 19.8 | 46 43.6 11.6 S25 08.1 6.5 53.9 |
| | |
18 | 90 11.5 S23 19.7 | 61 14.3 11.7 S25 01.5 6.6 53.9 |
19 | 105 11.2 S23 19.6 | 75 45.1 11.8 S24 54.8 6.7 53.9 |
20 | 120 10.9 S23 19.5 | 90 15.9 11.8 S24 48.0 6.8 53.9 |
21 | 135 10.6 S23 19.5 | 104 46.8 11.9 S24 41.0 6.9 53.9 |
22 | 150 10.3 S23 19.4 | 119 17.7 11.9 S24 34.0 7.1 53.9 |
23 | 165 09.9 S23 19.3 | 133 48.7 12.0 S24 26.8 7.2 53.9 |
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|S.D. 16.3 d 0.0 | S.D. 14.8 14.7 14.7 |
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