
2087 DEC. 19, 20, 21 (FRI, SAT, SUN)
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| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
19 0 | 87 50.1 | 218 24.1 S16 11.2 | 183 41.2 S23 55.0 | 252 44.7 S 5 05.6 | 52 12.3 N11 28.0
1 | 102 52.6 | 233 23.5 S16 12.0 | 198 41.6 S23 55.1 | 267 46.9 S 5 05.7 | 67 14.9 N11 27.9
2 | 117 55.0 | 248 22.9 S16 12.9 | 213 42.1 S23 55.2 | 282 49.0 S 5 05.8 | 82 17.4 N11 27.9
3 | 132 57.5 | 263 22.3 S16 13.7 | 228 42.5 S23 55.3 | 297 51.2 S 5 05.9 | 97 20.0 N11 27.9
4 | 147 60.0 | 278 21.7 S16 14.5 | 243 42.9 S23 55.4 | 312 53.4 S 5 06.0 | 112 22.5 N11 27.9
F 5 | 163 02.4 | 293 21.1 S16 15.4 | 258 43.4 S23 55.5 | 327 55.5 S 5 06.1 | 127 25.1 N11 27.9
R
I 6 | 178 04.9 | 308 20.5 S16 16.2 | 273 43.8 S23 55.6 | 342 57.7 S 5 06.2 | 142 27.7 N11 27.9
D 7 | 193 07.4 | 323 19.9 S16 17.0 | 288 44.3 S23 55.7 | 357 59.9 S 5 06.3 | 157 30.2 N11 27.8
A 8 | 208 09.8 | 338 19.3 S16 17.9 | 303 44.7 S23 55.8 | 13 02.0 S 5 06.5 | 172 32.8 N11 27.8
Y 9 | 223 12.3 | 353 18.7 S16 18.7 | 318 45.1 S23 55.8 | 28 04.2 S 5 06.6 | 187 35.3 N11 27.8
10 | 238 14.8 | 8 18.1 S16 19.5 | 333 45.6 S23 55.9 | 43 06.4 S 5 06.7 | 202 37.9 N11 27.8
11 | 253 17.2 | 23 17.5 S16 20.4 | 348 46.0 S23 56.0 | 58 08.6 S 5 06.8 | 217 40.4 N11 27.8
12 | 268 19.7 | 38 16.9 S16 21.2 | 3 46.4 S23 56.1 | 73 10.7 S 5 06.9 | 232 43.0 N11 27.7
13 | 283 22.2 | 53 16.3 S16 22.0 | 18 46.9 S23 56.2 | 88 12.9 S 5 07.0 | 247 45.5 N11 27.7
14 | 298 24.6 | 68 15.7 S16 22.8 | 33 47.3 S23 56.3 | 103 15.1 S 5 07.1 | 262 48.1 N11 27.7
15 | 313 27.1 | 83 15.1 S16 23.7 | 48 47.7 S23 56.4 | 118 17.2 S 5 07.2 | 277 50.6 N11 27.7
16 | 328 29.5 | 98 14.5 S16 24.5 | 63 48.2 S23 56.5 | 133 19.4 S 5 07.4 | 292 53.2 N11 27.7
17 | 343 32.0 | 113 13.9 S16 25.3 | 78 48.6 S23 56.6 | 148 21.6 S 5 07.5 | 307 55.7 N11 27.7
18 | 358 34.5 | 128 13.3 S16 26.1 | 93 49.0 S23 56.7 | 163 23.7 S 5 07.6 | 322 58.3 N11 27.6
19 | 13 36.9 | 143 12.7 S16 27.0 | 108 49.5 S23 56.8 | 178 25.9 S 5 07.7 | 338 00.8 N11 27.6
20 | 28 39.4 | 158 12.1 S16 27.8 | 123 49.9 S23 56.9 | 193 28.1 S 5 07.8 | 353 03.4 N11 27.6
21 | 43 41.9 | 173 11.5 S16 28.6 | 138 50.3 S23 56.9 | 208 30.3 S 5 07.9 | 8 06.0 N11 27.6
22 | 58 44.3 | 188 10.9 S16 29.4 | 153 50.8 S23 57.0 | 223 32.4 S 5 08.0 | 23 08.5 N11 27.6
23 | 73 46.8 | 203 10.3 S16 30.3 | 168 51.2 S23 57.1 | 238 34.6 S 5 08.1 | 38 11.1 N11 27.5
------+----------+-------------------+-------------------+-------------------+--------------------
20 0 | 88 49.3 | 218 09.7 S16 31.1 | 183 51.6 S23 57.2 | 253 36.8 S 5 08.3 | 53 13.6 N11 27.5
1 | 103 51.7 | 233 09.1 S16 31.9 | 198 52.1 S23 57.3 | 268 38.9 S 5 08.4 | 68 16.2 N11 27.5
2 | 118 54.2 | 248 08.5 S16 32.7 | 213 52.5 S23 57.4 | 283 41.1 S 5 08.5 | 83 18.7 N11 27.5
3 | 133 56.7 | 263 07.9 S16 33.5 | 228 52.9 S23 57.5 | 298 43.3 S 5 08.6 | 98 21.3 N11 27.5
4 | 148 59.1 | 278 07.3 S16 34.4 | 243 53.4 S23 57.6 | 313 45.5 S 5 08.7 | 113 23.8 N11 27.5
S 5 | 164 01.6 | 293 06.7 S16 35.2 | 258 53.8 S23 57.6 | 328 47.6 S 5 08.8 | 128 26.4 N11 27.4
A
T 6 | 179 04.0 | 308 06.1 S16 36.0 | 273 54.2 S23 57.7 | 343 49.8 S 5 08.9 | 143 28.9 N11 27.4
U 7 | 194 06.5 | 323 05.4 S16 36.8 | 288 54.7 S23 57.8 | 358 52.0 S 5 09.0 | 158 31.5 N11 27.4
R 8 | 209 09.0 | 338 04.8 S16 37.6 | 303 55.1 S23 57.9 | 13 54.1 S 5 09.1 | 173 34.0 N11 27.4
D 9 | 224 11.4 | 353 04.2 S16 38.4 | 318 55.5 S23 58.0 | 28 56.3 S 5 09.2 | 188 36.6 N11 27.4
A 10 | 239 13.9 | 8 03.6 S16 39.3 | 333 56.0 S23 58.1 | 43 58.5 S 5 09.4 | 203 39.1 N11 27.4
Y 11 | 254 16.4 | 23 03.0 S16 40.1 | 348 56.4 S23 58.1 | 59 00.7 S 5 09.5 | 218 41.7 N11 27.3
12 | 269 18.8 | 38 02.4 S16 40.9 | 3 56.8 S23 58.2 | 74 02.8 S 5 09.6 | 233 44.2 N11 27.3
13 | 284 21.3 | 53 01.8 S16 41.7 | 18 57.3 S23 58.3 | 89 05.0 S 5 09.7 | 248 46.8 N11 27.3
14 | 299 23.8 | 68 01.2 S16 42.5 | 33 57.7 S23 58.4 | 104 07.2 S 5 09.8 | 263 49.3 N11 27.3
15 | 314 26.2 | 83 00.6 S16 43.3 | 48 58.1 S23 58.5 | 119 09.4 S 5 09.9 | 278 51.9 N11 27.3
16 | 329 28.7 | 97 59.9 S16 44.1 | 63 58.6 S23 58.5 | 134 11.5 S 5 10.0 | 293 54.4 N11 27.3
17 | 344 31.1 | 112 59.3 S16 44.9 | 78 59.0 S23 58.6 | 149 13.7 S 5 10.1 | 308 57.0 N11 27.2
18 | 359 33.6 | 127 58.7 S16 45.7 | 93 59.4 S23 58.7 | 164 15.9 S 5 10.2 | 323 59.5 N11 27.2
19 | 14 36.1 | 142 58.1 S16 46.6 | 108 59.8 S23 58.8 | 179 18.1 S 5 10.3 | 339 02.1 N11 27.2
20 | 29 38.5 | 157 57.5 S16 47.4 | 124 00.3 S23 58.9 | 194 20.2 S 5 10.5 | 354 04.6 N11 27.2
21 | 44 41.0 | 172 56.9 S16 48.2 | 139 00.7 S23 58.9 | 209 22.4 S 5 10.6 | 9 07.1 N11 27.2
22 | 59 43.5 | 187 56.2 S16 49.0 | 154 01.1 S23 59.0 | 224 24.6 S 5 10.7 | 24 09.7 N11 27.2
23 | 74 45.9 | 202 55.6 S16 49.8 | 169 01.6 S23 59.1 | 239 26.8 S 5 10.8 | 39 12.2 N11 27.1
------+----------+-------------------+-------------------+-------------------+--------------------
21 0 | 89 48.4 | 217 55.0 S16 50.6 | 184 02.0 S23 59.2 | 254 29.0 S 5 10.9 | 54 14.8 N11 27.1
1 | 104 50.9 | 232 54.4 S16 51.4 | 199 02.4 S23 59.2 | 269 31.1 S 5 11.0 | 69 17.3 N11 27.1
2 | 119 53.3 | 247 53.8 S16 52.2 | 214 02.9 S23 59.3 | 284 33.3 S 5 11.1 | 84 19.9 N11 27.1
3 | 134 55.8 | 262 53.1 S16 53.0 | 229 03.3 S23 59.4 | 299 35.5 S 5 11.2 | 99 22.4 N11 27.1
4 | 149 58.3 | 277 52.5 S16 53.8 | 244 03.7 S23 59.5 | 314 37.7 S 5 11.3 | 114 25.0 N11 27.1
S 5 | 165 00.7 | 292 51.9 S16 54.6 | 259 04.1 S23 59.6 | 329 39.8 S 5 11.4 | 129 27.5 N11 27.0
U
N 6 | 180 03.2 | 307 51.3 S16 55.4 | 274 04.6 S23 59.6 | 344 42.0 S 5 11.5 | 144 30.1 N11 27.0
D 7 | 195 05.6 | 322 50.7 S16 56.2 | 289 05.0 S23 59.7 | 359 44.2 S 5 11.7 | 159 32.6 N11 27.0
A 8 | 210 08.1 | 337 50.0 S16 57.0 | 304 05.4 S23 59.8 | 14 46.4 S 5 11.8 | 174 35.2 N11 27.0
Y 9 | 225 10.6 | 352 49.4 S16 57.8 | 319 05.9 S23 59.8 | 29 48.6 S 5 11.9 | 189 37.7 N11 27.0
10 | 240 13.0 | 7 48.8 S16 58.6 | 334 06.3 S23 59.9 | 44 50.7 S 5 12.0 | 204 40.3 N11 27.0
11 | 255 15.5 | 22 48.2 S16 59.4 | 349 06.7 S23 60.0 | 59 52.9 S 5 12.1 | 219 42.8 N11 26.9
12 | 270 18.0 | 37 47.5 S17 00.2 | 4 07.1 S24 00.1 | 74 55.1 S 5 12.2 | 234 45.3 N11 26.9
13 | 285 20.4 | 52 46.9 S17 01.0 | 19 07.6 S24 00.1 | 89 57.3 S 5 12.3 | 249 47.9 N11 26.9
14 | 300 22.9 | 67 46.3 S17 01.8 | 34 08.0 S24 00.2 | 104 59.4 S 5 12.4 | 264 50.4 N11 26.9
15 | 315 25.4 | 82 45.7 S17 02.6 | 49 08.4 S24 00.3 | 120 01.6 S 5 12.5 | 279 53.0 N11 26.9
16 | 330 27.8 | 97 45.0 S17 03.4 | 64 08.9 S24 00.3 | 135 03.8 S 5 12.6 | 294 55.5 N11 26.9
17 | 345 30.3 | 112 44.4 S17 04.2 | 79 09.3 S24 00.4 | 150 06.0 S 5 12.7 | 309 58.1 N11 26.9
18 | 0 32.8 | 127 43.8 S17 04.9 | 94 09.7 S24 00.5 | 165 08.2 S 5 12.8 | 325 00.6 N11 26.8
19 | 15 35.2 | 142 43.2 S17 05.7 | 109 10.1 S24 00.6 | 180 10.4 S 5 13.0 | 340 03.2 N11 26.8
20 | 30 37.7 | 157 42.5 S17 06.5 | 124 10.6 S24 00.6 | 195 12.5 S 5 13.1 | 355 05.7 N11 26.8
21 | 45 40.1 | 172 41.9 S17 07.3 | 139 11.0 S24 00.7 | 210 14.7 S 5 13.2 | 10 08.2 N11 26.8
22 | 60 42.6 | 187 41.3 S17 08.1 | 154 11.4 S24 00.8 | 225 16.9 S 5 13.3 | 25 10.8 N11 26.8
23 | 75 45.1 | 202 40.6 S17 08.9 | 169 11.8 S24 00.8 | 240 19.1 S 5 13.4 | 40 13.3 N11 26.8
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| v -0.6 d 0.8 | v 0.4 d 0.1 | v 2.2 d 0.1 | v 2.5 d 0.0
2087 DEC. 19, 20, 21 (FRI, SAT, SUN)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
19 0 | 180 48.0 S23 23.9 | 248 45.7 14.3 S10 19.9 9.0 54.6 | Acamar 314 35.6 S39 57.5
1 | 195 47.7 S23 23.9 | 263 19.0 14.3 S10 28.8 8.9 54.6 | Achernar 334 45.0 S56 47.7
2 | 210 47.4 S23 24.0 | 277 52.3 14.3 S10 37.7 8.9 54.6 | Acrux 172 06.5 S63 34.9
3 | 225 47.1 S23 24.0 | 292 25.6 14.3 S10 46.5 8.8 54.6 | Adhara 254 28.1 S29 05.8
4 | 240 46.8 S23 24.1 | 306 58.9 14.3 S10 55.3 8.8 54.5 | Albireo 66 26.1 N28 09.1
F 5 | 255 46.5 S23 24.1 | 321 32.2 14.3 S11 04.0 8.7 54.5 |
R | | | Aldebaran 289 44.8 N16 40.8
I 6 | 270 46.2 S23 24.2 | 336 05.4 14.3 S11 12.7 8.7 54.5 | Alioth 165 31.9 N55 28.7
D 7 | 285 45.9 S23 24.2 | 350 38.7 14.2 S11 21.3 8.6 54.5 | Alkaid 152 15.2 N48 52.3
A 8 | 300 45.5 S23 24.3 | 5 11.9 14.2 S11 29.9 8.6 54.5 | Al Na-ir 26 33.9 S46 32.1
Y 9 | 315 45.2 S23 24.3 | 19 45.1 14.2 S11 38.4 8.5 54.5 | Alnilam 274 49.2 S 1 09.1
10 | 330 44.9 S23 24.4 | 34 18.3 14.2 S11 46.9 8.5 54.4 |
11 | 345 44.6 S23 24.4 | 48 51.5 14.2 S11 55.3 8.4 54.4 | Alphard 217 00.9 S 9 02.7
| | | Alphecca 125 23.9 N26 25.3
12 | 0 44.3 S23 24.4 | 63 24.7 14.2 S12 03.6 8.4 54.4 | Alpheratz 356 45.5 N29 34.8
13 | 15 44.0 S23 24.5 | 77 57.8 14.2 S12 11.9 8.3 54.4 | Altair 61 14.0 N 9 06.4
14 | 30 43.7 S23 24.5 | 92 31.0 14.1 S12 20.2 8.2 54.4 | Ankaa 352 20.5 S41 49.9
15 | 45 43.4 S23 24.6 | 107 04.1 14.1 S12 28.4 8.2 54.4 |
16 | 60 43.1 S23 24.6 | 121 37.2 14.1 S12 36.5 8.1 54.4 | Antares 111 17.9 S26 37.2
17 | 75 42.8 S23 24.6 | 136 10.3 14.1 S12 44.6 8.1 54.3 | Arcturus 145 04.9 N18 43.5
| | | Atria 105 29.9 S69 10.6
18 | 90 42.5 S23 24.7 | 150 43.3 14.1 S12 52.6 8.0 54.3 | Avior 233 54.5 S59 47.6
19 | 105 42.1 S23 24.7 | 165 16.4 14.0 S13 00.6 8.0 54.3 | Bellatrix 277 31.6 N 6 25.4
20 | 120 41.8 S23 24.8 | 179 49.4 14.0 S13 08.5 7.9 54.3 |
21 | 135 41.5 S23 24.8 | 194 22.4 14.0 S13 16.3 7.8 54.3 | Betelgeuse 270 00.4 N 7 25.0
22 | 150 41.2 S23 24.8 | 208 55.3 14.0 S13 24.1 7.8 54.3 | Canopus 263 30.7 S52 44.9
23 | 165 40.9 S23 24.9 | 223 28.3 14.0 S13 31.8 7.7 54.3 | Capella 279 11.2 N46 04.8
------+-------------------+----------------------------------| Castor 244 56.3 N31 41.2
20 0 | 180 40.6 S23 24.9 | 238 01.2 13.9 S13 39.5 7.7 54.3 | Deneb 48 53.6 N45 36.1
1 | 195 40.3 S23 24.9 | 252 34.2 13.9 S13 47.1 7.6 54.3 |
2 | 210 40.0 S23 25.0 | 267 07.0 13.9 S13 54.6 7.5 54.2 | Denebola 181 36.7 N14 04.6
3 | 225 39.7 S23 25.0 | 281 39.9 13.9 S14 02.1 7.5 54.2 | Diphda 347 59.7 S17 30.3
4 | 240 39.4 S23 25.0 | 296 12.8 13.8 S14 09.5 7.4 54.2 | Dubhe 192 43.3 N61 16.1
S 5 | 255 39.1 S23 25.1 | 310 45.6 13.8 S14 16.9 7.4 54.2 | Elnath 277 01.5 N28 40.4
A | | | Eltanin 90 20.7 N51 28.9
T 6 | 270 38.7 S23 25.1 | 325 18.4 13.8 S14 24.2 7.3 54.2 |
U 7 | 285 38.4 S23 25.1 | 339 51.1 13.8 S14 31.4 7.2 54.2 | Enif 32 52.3 N10 17.0
R 8 | 300 38.1 S23 25.1 | 354 23.9 13.7 S14 38.6 7.2 54.2 | Fomalhaut 14 22.5 S29 09.4
D 9 | 315 37.8 S23 25.2 | 8 56.6 13.7 S14 45.7 7.1 54.2 | Gacrux 170 58.4 S57 36.1
A 10 | 330 37.5 S23 25.2 | 23 29.3 13.7 S14 52.7 7.0 54.2 | Gienah 174 54.7 S18 01.7
Y 11 | 345 37.2 S23 25.2 | 38 02.0 13.7 S14 59.7 7.0 54.2 | Hadar 147 28.6 S60 47.4
| | |
12 | 0 36.9 S23 25.2 | 52 34.6 13.6 S15 06.6 6.9 54.1 | Hamal 326 57.3 N23 52.7
13 | 15 36.6 S23 25.3 | 67 07.3 13.6 S15 13.5 6.8 54.1 | Kaus Austr. 82 30.0 S34 20.2
14 | 30 36.3 S23 25.3 | 81 39.8 13.6 S15 20.2 6.8 54.1 | Kochab 137 23.4 N73 47.5
15 | 45 36.0 S23 25.3 | 96 12.4 13.6 S15 26.9 6.7 54.1 | Markab 12 42.6 N15 40.9
16 | 60 35.6 S23 25.3 | 110 45.0 13.5 S15 33.6 6.6 54.1 | Menkar 313 16.2 N 4 25.8
17 | 75 35.3 S23 25.3 | 125 17.5 13.5 S15 40.2 6.6 54.1 |
| | | Menkent 147 01.7 S36 47.9
18 | 90 35.0 S23 25.4 | 139 50.0 13.5 S15 46.7 6.5 54.1 | Miaplacidus 221 26.9 S70 04.7
19 | 105 34.7 S23 25.4 | 154 22.4 13.5 S15 53.1 6.4 54.1 | Mirfak 307 19.6 N50 10.3
20 | 120 34.4 S23 25.4 | 168 54.9 13.4 S15 59.4 6.4 54.1 | Nunki 74 49.4 S26 10.8
21 | 135 34.1 S23 25.4 | 183 27.3 13.4 S16 05.7 6.3 54.1 | Peacock 51 51.8 S56 26.9
22 | 150 33.8 S23 25.4 | 197 59.7 13.4 S16 12.0 6.2 54.1 |
23 | 165 33.5 S23 25.4 | 212 32.0 13.4 S16 18.1 6.2 54.1 | Polaris 299 56.4 N89 38.7
------+-------------------+----------------------------------| Pollux 242 19.1 N27 48.3
21 0 | 180 33.2 S23 25.4 | 227 04.3 13.3 S16 24.2 6.1 54.1 | Procyon 244 00.9 N 4 59.6
1 | 195 32.9 S23 25.5 | 241 36.6 13.3 S16 30.2 6.0 54.1 | Rasalhague 95 14.9 N12 30.2
2 | 210 32.5 S23 25.5 | 256 08.9 13.3 S16 36.1 5.9 54.1 | Regulus 206 43.9 N11 31.9
3 | 225 32.2 S23 25.5 | 270 41.1 13.2 S16 42.0 5.9 54.0 |
4 | 240 31.9 S23 25.5 | 285 13.4 13.2 S16 47.8 5.8 54.0 | Rigel 280 17.9 S 8 06.4
S 5 | 255 31.6 S23 25.5 | 299 45.5 13.2 S16 53.5 5.7 54.0 | Rigil Kent 138 35.6 S61 11.4
U | | | Sabik 101 08.7 S15 49.6
N 6 | 270 31.3 S23 25.5 | 314 17.7 13.2 S16 59.1 5.6 54.0 | Schedar 348 36.3 N57 01.4
D 7 | 285 31.0 S23 25.5 | 328 49.8 13.1 S17 04.7 5.6 54.0 | Shaula 95 06.3 S37 09.6
A 8 | 300 30.7 S23 25.5 | 343 21.9 13.1 S17 10.2 5.5 54.0 |
Y 9 | 315 30.4 S23 25.5 | 357 54.0 13.1 S17 15.6 5.4 54.0 | Sirius 257 44.1 S16 50.6
10 | 330 30.1 S23 25.5 | 12 26.1 13.0 S17 21.0 5.3 54.0 | Spica 157 32.3 S11 37.1
11 | 345 29.8 S23 25.5 | 26 58.1 13.0 S17 26.2 5.3 54.0 | Suhail 222 10.9 S43 47.4
| | | Vega 80 01.5 N38 52.3
12 | 0 29.4 S23 25.5 | 41 30.1 13.0 S17 31.4 5.2 54.0 | Zuben-ubi 136 06.0 S16 24.1
13 | 15 29.1 S23 25.5 | 56 02.0 13.0 S17 36.5 5.1 54.0 |
14 | 30 28.8 S23 25.5 | 70 33.9 12.9 S17 41.5 5.0 54.0 |
15 | 45 28.5 S23 25.6 | 85 05.8 12.9 S17 46.5 5.0 54.0 |
16 | 60 28.2 S23 25.6 | 99 37.7 12.9 S17 51.4 4.9 54.0 |
17 | 75 27.9 S23 25.6 | 114 09.6 12.8 S17 56.2 4.8 54.0 |
| | |
18 | 90 27.6 S23 25.5 | 128 41.4 12.8 S18 00.9 4.7 54.0 |
19 | 105 27.3 S23 25.5 | 143 13.2 12.8 S18 05.5 4.6 54.0 |
20 | 120 27.0 S23 25.5 | 157 44.9 12.8 S18 10.1 4.6 54.0 |
21 | 135 26.6 S23 25.5 | 172 16.7 12.7 S18 14.5 4.5 54.0 |
22 | 150 26.3 S23 25.5 | 186 48.4 12.7 S18 18.9 4.4 54.0 |
23 | 165 26.0 S23 25.5 | 201 20.1 12.7 S18 23.2 4.3 54.0 |
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|S.D. 16.3 d 0.0 | S.D. 14.8 14.8 14.7 |
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