
2031 DEC. 16, 17, 18 (TUE, WED, THU)
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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 | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
16 0 | 84 26.8 | 222 23.6 S13 51.8 | 122 07.3 S16 08.8 | 167 10.9 S23 13.9 | 6 04.6 N21 25.6
1 | 99 29.3 | 237 23.2 S13 52.7 | 137 07.9 S16 08.2 | 182 12.7 S23 13.9 | 21 07.3 N21 25.6
2 | 114 31.8 | 252 22.7 S13 53.6 | 152 08.5 S16 07.5 | 197 14.6 S23 13.9 | 36 09.9 N21 25.5
3 | 129 34.2 | 267 22.2 S13 54.5 | 167 09.0 S16 06.9 | 212 16.4 S23 13.9 | 51 12.6 N21 25.5
4 | 144 36.7 | 282 21.7 S13 55.4 | 182 09.6 S16 06.3 | 227 18.3 S23 13.8 | 66 15.3 N21 25.5
T 5 | 159 39.1 | 297 21.2 S13 56.3 | 197 10.2 S16 05.6 | 242 20.1 S23 13.8 | 81 18.0 N21 25.5
U
E 6 | 174 41.6 | 312 20.8 S13 57.2 | 212 10.8 S16 05.0 | 257 22.0 S23 13.8 | 96 20.7 N21 25.5
S 7 | 189 44.1 | 327 20.3 S13 58.1 | 227 11.3 S16 04.4 | 272 23.8 S23 13.8 | 111 23.4 N21 25.5
D 8 | 204 46.5 | 342 19.8 S13 59.0 | 242 11.9 S16 03.7 | 287 25.6 S23 13.7 | 126 26.1 N21 25.5
A 9 | 219 49.0 | 357 19.3 S13 59.9 | 257 12.5 S16 03.1 | 302 27.5 S23 13.7 | 141 28.7 N21 25.5
Y 10 | 234 51.5 | 12 18.8 S14 00.8 | 272 13.1 S16 02.4 | 317 29.3 S23 13.7 | 156 31.4 N21 25.4
11 | 249 53.9 | 27 18.3 S14 01.7 | 287 13.7 S16 01.8 | 332 31.2 S23 13.7 | 171 34.1 N21 25.4
12 | 264 56.4 | 42 17.9 S14 02.6 | 302 14.2 S16 01.2 | 347 33.0 S23 13.6 | 186 36.8 N21 25.4
13 | 279 58.9 | 57 17.4 S14 03.5 | 317 14.8 S16 00.5 | 2 34.9 S23 13.6 | 201 39.5 N21 25.4
14 | 295 01.3 | 72 16.9 S14 04.4 | 332 15.4 S15 59.9 | 17 36.7 S23 13.6 | 216 42.2 N21 25.4
15 | 310 03.8 | 87 16.4 S14 05.3 | 347 16.0 S15 59.2 | 32 38.5 S23 13.6 | 231 44.8 N21 25.4
16 | 325 06.3 | 102 15.9 S14 06.2 | 2 16.6 S15 58.6 | 47 40.4 S23 13.5 | 246 47.5 N21 25.4
17 | 340 08.7 | 117 15.4 S14 07.1 | 17 17.1 S15 57.9 | 62 42.2 S23 13.5 | 261 50.2 N21 25.4
18 | 355 11.2 | 132 14.9 S14 08.0 | 32 17.7 S15 57.3 | 77 44.1 S23 13.5 | 276 52.9 N21 25.4
19 | 10 13.6 | 147 14.4 S14 08.9 | 47 18.3 S15 56.7 | 92 45.9 S23 13.5 | 291 55.6 N21 25.3
20 | 25 16.1 | 162 14.0 S14 09.8 | 62 18.9 S15 56.0 | 107 47.8 S23 13.4 | 306 58.3 N21 25.3
21 | 40 18.6 | 177 13.5 S14 10.7 | 77 19.5 S15 55.4 | 122 49.6 S23 13.4 | 322 00.9 N21 25.3
22 | 55 21.0 | 192 13.0 S14 11.6 | 92 20.0 S15 54.7 | 137 51.4 S23 13.4 | 337 03.6 N21 25.3
23 | 70 23.5 | 207 12.5 S14 12.5 | 107 20.6 S15 54.1 | 152 53.3 S23 13.4 | 352 06.3 N21 25.3
------+----------+-------------------+-------------------+-------------------+--------------------
17 0 | 85 26.0 | 222 12.0 S14 13.4 | 122 21.2 S15 53.4 | 167 55.1 S23 13.3 | 7 09.0 N21 25.3
1 | 100 28.4 | 237 11.5 S14 14.3 | 137 21.8 S15 52.8 | 182 57.0 S23 13.3 | 22 11.7 N21 25.3
2 | 115 30.9 | 252 11.0 S14 15.2 | 152 22.4 S15 52.2 | 197 58.8 S23 13.3 | 37 14.4 N21 25.3
3 | 130 33.4 | 267 10.5 S14 16.1 | 167 22.9 S15 51.5 | 213 00.7 S23 13.3 | 52 17.1 N21 25.2
4 | 145 35.8 | 282 10.0 S14 17.0 | 182 23.5 S15 50.9 | 228 02.5 S23 13.2 | 67 19.7 N21 25.2
W 5 | 160 38.3 | 297 09.5 S14 17.8 | 197 24.1 S15 50.2 | 243 04.4 S23 13.2 | 82 22.4 N21 25.2
E
D 6 | 175 40.8 | 312 09.0 S14 18.7 | 212 24.7 S15 49.6 | 258 06.2 S23 13.2 | 97 25.1 N21 25.2
N 7 | 190 43.2 | 327 08.5 S14 19.6 | 227 25.3 S15 48.9 | 273 08.0 S23 13.1 | 112 27.8 N21 25.2
E 8 | 205 45.7 | 342 08.0 S14 20.5 | 242 25.8 S15 48.3 | 288 09.9 S23 13.1 | 127 30.5 N21 25.2
S 9 | 220 48.1 | 357 07.6 S14 21.4 | 257 26.4 S15 47.6 | 303 11.7 S23 13.1 | 142 33.2 N21 25.2
D 10 | 235 50.6 | 12 07.1 S14 22.3 | 272 27.0 S15 47.0 | 318 13.6 S23 13.1 | 157 35.8 N21 25.2
A 11 | 250 53.1 | 27 06.6 S14 23.2 | 287 27.6 S15 46.3 | 333 15.4 S23 13.0 | 172 38.5 N21 25.2
Y
12 | 265 55.5 | 42 06.1 S14 24.1 | 302 28.2 S15 45.7 | 348 17.3 S23 13.0 | 187 41.2 N21 25.1
13 | 280 58.0 | 57 05.6 S14 25.0 | 317 28.8 S15 45.1 | 3 19.1 S23 13.0 | 202 43.9 N21 25.1
14 | 296 00.5 | 72 05.1 S14 25.8 | 332 29.3 S15 44.4 | 18 20.9 S23 13.0 | 217 46.6 N21 25.1
15 | 311 02.9 | 87 04.6 S14 26.7 | 347 29.9 S15 43.8 | 33 22.8 S23 12.9 | 232 49.3 N21 25.1
16 | 326 05.4 | 102 04.1 S14 27.6 | 2 30.5 S15 43.1 | 48 24.6 S23 12.9 | 247 51.9 N21 25.1
17 | 341 07.9 | 117 03.6 S14 28.5 | 17 31.1 S15 42.5 | 63 26.5 S23 12.9 | 262 54.6 N21 25.1
18 | 356 10.3 | 132 03.1 S14 29.4 | 32 31.7 S15 41.8 | 78 28.3 S23 12.9 | 277 57.3 N21 25.1
19 | 11 12.8 | 147 02.6 S14 30.3 | 47 32.3 S15 41.2 | 93 30.2 S23 12.8 | 292 60.0 N21 25.1
20 | 26 15.3 | 162 02.1 S14 31.1 | 62 32.8 S15 40.5 | 108 32.0 S23 12.8 | 308 02.7 N21 25.0
21 | 41 17.7 | 177 01.6 S14 32.0 | 77 33.4 S15 39.9 | 123 33.8 S23 12.8 | 323 05.4 N21 25.0
22 | 56 20.2 | 192 01.1 S14 32.9 | 92 34.0 S15 39.2 | 138 35.7 S23 12.8 | 338 08.0 N21 25.0
23 | 71 22.6 | 207 00.6 S14 33.8 | 107 34.6 S15 38.6 | 153 37.5 S23 12.7 | 353 10.7 N21 25.0
------+----------+-------------------+-------------------+-------------------+--------------------
18 0 | 86 25.1 | 222 00.1 S14 34.7 | 122 35.2 S15 37.9 | 168 39.4 S23 12.7 | 8 13.4 N21 25.0
1 | 101 27.6 | 236 59.6 S14 35.6 | 137 35.8 S15 37.3 | 183 41.2 S23 12.7 | 23 16.1 N21 25.0
2 | 116 30.0 | 251 59.0 S14 36.4 | 152 36.3 S15 36.6 | 198 43.0 S23 12.6 | 38 18.8 N21 25.0
3 | 131 32.5 | 266 58.5 S14 37.3 | 167 36.9 S15 36.0 | 213 44.9 S23 12.6 | 53 21.5 N21 25.0
4 | 146 35.0 | 281 58.0 S14 38.2 | 182 37.5 S15 35.3 | 228 46.7 S23 12.6 | 68 24.1 N21 24.9
T 5 | 161 37.4 | 296 57.5 S14 39.1 | 197 38.1 S15 34.7 | 243 48.6 S23 12.6 | 83 26.8 N21 24.9
H
U 6 | 176 39.9 | 311 57.0 S14 39.9 | 212 38.7 S15 34.0 | 258 50.4 S23 12.5 | 98 29.5 N21 24.9
R 7 | 191 42.4 | 326 56.5 S14 40.8 | 227 39.3 S15 33.4 | 273 52.3 S23 12.5 | 113 32.2 N21 24.9
S 8 | 206 44.8 | 341 56.0 S14 41.7 | 242 39.9 S15 32.7 | 288 54.1 S23 12.5 | 128 34.9 N21 24.9
D 9 | 221 47.3 | 356 55.5 S14 42.6 | 257 40.4 S15 32.1 | 303 55.9 S23 12.5 | 143 37.6 N21 24.9
A 10 | 236 49.7 | 11 55.0 S14 43.5 | 272 41.0 S15 31.4 | 318 57.8 S23 12.4 | 158 40.2 N21 24.9
Y 11 | 251 52.2 | 26 54.5 S14 44.3 | 287 41.6 S15 30.8 | 333 59.6 S23 12.4 | 173 42.9 N21 24.9
12 | 266 54.7 | 41 54.0 S14 45.2 | 302 42.2 S15 30.1 | 349 01.5 S23 12.4 | 188 45.6 N21 24.9
13 | 281 57.1 | 56 53.5 S14 46.1 | 317 42.8 S15 29.4 | 4 03.3 S23 12.3 | 203 48.3 N21 24.8
14 | 296 59.6 | 71 53.0 S14 46.9 | 332 43.4 S15 28.8 | 19 05.2 S23 12.3 | 218 51.0 N21 24.8
15 | 312 02.1 | 86 52.4 S14 47.8 | 347 44.0 S15 28.1 | 34 07.0 S23 12.3 | 233 53.7 N21 24.8
16 | 327 04.5 | 101 51.9 S14 48.7 | 2 44.5 S15 27.5 | 49 08.8 S23 12.3 | 248 56.3 N21 24.8
17 | 342 07.0 | 116 51.4 S14 49.6 | 17 45.1 S15 26.8 | 64 10.7 S23 12.2 | 263 59.0 N21 24.8
18 | 357 09.5 | 131 50.9 S14 50.4 | 32 45.7 S15 26.2 | 79 12.5 S23 12.2 | 279 01.7 N21 24.8
19 | 12 11.9 | 146 50.4 S14 51.3 | 47 46.3 S15 25.5 | 94 14.4 S23 12.2 | 294 04.4 N21 24.8
20 | 27 14.4 | 161 49.9 S14 52.2 | 62 46.9 S15 24.9 | 109 16.2 S23 12.2 | 309 07.1 N21 24.8
21 | 42 16.9 | 176 49.4 S14 53.0 | 77 47.5 S15 24.2 | 124 18.0 S23 12.1 | 324 09.7 N21 24.7
22 | 57 19.3 | 191 48.9 S14 53.9 | 92 48.1 S15 23.6 | 139 19.9 S23 12.1 | 339 12.4 N21 24.7
23 | 72 21.8 | 206 48.3 S14 54.8 | 107 48.7 S15 22.9 | 154 21.7 S23 12.1 | 354 15.1 N21 24.7
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| v -0.5 d 0.9 | v 0.6 d 0.6 | v 1.8 d 0.0 | v 2.7 d 0.0
2031 DEC. 16, 17, 18 (TUE, WED, THU)
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| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
16 0 | 181 11.3 S23 17.3 | 157 13.5 4.6 S18 04.0 6.1 60.8 | Acamar 315 07.5 S40 10.8
1 | 196 11.0 S23 17.4 | 171 37.1 4.6 S17 57.8 6.3 60.8 | Achernar 335 16.2 S57 04.7
2 | 211 10.7 S23 17.5 | 186 00.7 4.7 S17 51.4 6.4 60.8 | Acrux 172 53.8 S63 16.3
3 | 226 10.4 S23 17.7 | 200 24.5 4.7 S17 44.8 6.5 60.8 | Adhara 255 01.2 S29 01.1
4 | 241 10.1 S23 17.8 | 214 48.2 4.8 S17 38.2 6.7 60.8 | Albireo 67 00.0 N28 01.9
T 5 | 256 09.8 S23 17.9 | 229 12.0 4.8 S17 31.4 6.8 60.8 |
U | | | Aldebaran 290 33.1 N16 34.3
E 6 | 271 09.5 S23 18.0 | 243 35.9 4.9 S17 24.5 6.9 60.8 | Alioth 166 08.7 N55 46.9
S 7 | 286 09.2 S23 18.1 | 257 59.9 4.9 S17 17.5 7.0 60.8 | Alkaid 152 48.3 N49 09.0
D 8 | 301 08.9 S23 18.2 | 272 23.8 5.0 S17 10.3 7.1 60.8 | Al Na-ir 27 26.5 S46 48.4
A 9 | 316 08.6 S23 18.3 | 286 47.9 5.0 S17 03.1 7.3 60.8 | Alnilam 275 31.9 S 1 11.1
Y 10 | 331 08.3 S23 18.5 | 301 12.0 5.1 S16 55.7 7.4 60.8 |
11 | 346 08.0 S23 18.6 | 315 36.2 5.2 S16 48.2 7.5 60.8 | Alphard 217 42.2 S 8 48.0
| | | Alphecca 125 59.6 N26 36.5
12 | 1 07.7 S23 18.7 | 330 00.4 5.2 S16 40.6 7.6 60.8 | Alpheratz 357 29.0 N29 16.3
13 | 16 07.4 S23 18.8 | 344 24.7 5.3 S16 32.8 7.7 60.8 | Altair 61 55.0 N 8 57.4
14 | 31 07.1 S23 18.9 | 358 49.1 5.4 S16 25.0 7.8 60.8 | Ankaa 353 01.9 S42 08.1
15 | 46 06.8 S23 19.0 | 13 13.5 5.4 S16 17.1 8.0 60.8 |
16 | 61 06.5 S23 19.1 | 27 38.0 5.5 S16 09.0 8.1 60.7 | Antares 112 09.5 S26 29.9
17 | 76 06.2 S23 19.2 | 42 02.5 5.6 S16 00.8 8.2 60.7 | Arcturus 145 43.3 N19 00.9
| | | Atria 106 59.4 S69 04.8
18 | 91 05.9 S23 19.3 | 56 27.1 5.6 S15 52.5 8.3 60.7 | Avior 234 11.8 S59 36.7
19 | 106 05.6 S23 19.4 | 70 51.8 5.7 S15 44.2 8.4 60.7 | Bellatrix 278 16.7 N 6 22.5
20 | 121 05.3 S23 19.5 | 85 16.6 5.8 S15 35.7 8.5 60.7 |
21 | 136 05.0 S23 19.6 | 99 41.4 5.8 S15 27.1 8.6 60.7 | Betelgeuse 270 45.9 N 7 24.6
22 | 151 04.6 S23 19.7 | 114 06.3 5.9 S15 18.4 8.7 60.7 | Canopus 263 49.4 S52 42.9
23 | 166 04.3 S23 19.8 | 128 31.2 6.0 S15 09.6 8.8 60.7 | Capella 280 13.4 N46 01.6
------+-------------------+----------------------------------| Castor 245 49.9 N31 48.8
17 0 | 181 04.0 S23 19.9 | 142 56.2 6.0 S15 00.7 8.9 60.7 | Deneb 49 22.3 N45 24.0
1 | 196 03.7 S23 20.0 | 157 21.3 6.1 S14 51.7 9.0 60.6 |
2 | 211 03.4 S23 20.1 | 171 46.5 6.2 S14 42.6 9.1 60.6 | Denebola 182 19.5 N14 23.4
3 | 226 03.1 S23 20.2 | 186 11.7 6.2 S14 33.4 9.2 60.6 | Diphda 348 41.9 S17 48.7
4 | 241 02.8 S23 20.3 | 200 37.0 6.3 S14 24.2 9.3 60.6 | Dubhe 193 34.7 N61 34.2
W 5 | 256 02.5 S23 20.4 | 215 02.4 6.4 S14 14.8 9.4 60.6 | Elnath 277 54.7 N28 37.8
E | | | Eltanin 90 40.2 N51 29.3
D 6 | 271 02.2 S23 20.5 | 229 27.9 6.5 S14 05.3 9.5 60.6 |
N 7 | 286 01.9 S23 20.6 | 243 53.4 6.5 S13 55.8 9.5 60.6 | Enif 33 33.6 N10 01.5
E 8 | 301 01.6 S23 20.7 | 258 19.0 6.6 S13 46.2 9.6 60.5 | Fomalhaut 15 08.8 S29 27.2
S 9 | 316 01.3 S23 20.8 | 272 44.7 6.7 S13 36.4 9.7 60.5 | Gacrux 171 45.4 S57 17.3
D 10 | 331 01.0 S23 20.9 | 287 10.4 6.7 S13 26.6 9.8 60.5 | Gienah 175 38.0 S17 43.1
A 11 | 346 00.7 S23 21.0 | 301 36.2 6.8 S13 16.8 9.9 60.5 | Hadar 148 28.5 S60 31.3
Y | | |
12 | 1 00.4 S23 21.1 | 316 02.1 6.9 S13 06.8 10.0 60.5 | Hamal 327 44.8 N23 36.9
13 | 16 00.1 S23 21.1 | 330 28.0 7.0 S12 56.8 10.0 60.5 | Kaus Austr. 83 25.8 S34 22.0
14 | 30 59.8 S23 21.2 | 344 54.1 7.0 S12 46.6 10.1 60.4 | Kochab 137 21.7 N74 01.3
15 | 45 59.5 S23 21.3 | 359 20.2 7.1 S12 36.4 10.2 60.4 | Markab 13 24.5 N15 22.8
16 | 60 59.1 S23 21.4 | 13 46.4 7.2 S12 26.2 10.3 60.4 | Menkar 314 00.2 N 4 12.8
17 | 75 58.8 S23 21.5 | 28 12.6 7.2 S12 15.8 10.3 60.4 |
| | | Menkent 147 51.4 S36 31.4
18 | 90 58.5 S23 21.6 | 42 38.9 7.3 S12 05.4 10.4 60.4 | Miaplacidus 221 36.0 S69 50.8
19 | 105 58.2 S23 21.7 | 57 05.3 7.4 S11 54.9 10.5 60.4 | Mirfak 308 19.9 N49 58.5
20 | 120 57.9 S23 21.7 | 71 31.8 7.5 S11 44.4 10.6 60.3 | Nunki 75 41.5 S26 15.2
21 | 135 57.6 S23 21.8 | 85 58.3 7.5 S11 33.8 10.6 60.3 | Peacock 52 57.9 S56 37.9
22 | 150 57.3 S23 21.9 | 100 24.9 7.6 S11 23.1 10.7 60.3 |
23 | 165 57.0 S23 22.0 | 114 51.6 7.7 S11 12.3 10.8 60.3 | Polaris 314 05.9 N89 23.6
------+-------------------+----------------------------------| Pollux 243 10.4 N27 56.6
18 0 | 180 56.7 S23 22.1 | 129 18.4 7.8 S11 01.5 10.8 60.3 | Procyon 244 44.9 N 5 08.3
1 | 195 56.4 S23 22.2 | 143 45.2 7.8 S10 50.6 10.9 60.2 | Rasalhague 95 53.9 N12 32.5
2 | 210 56.1 S23 22.2 | 158 12.1 7.9 S10 39.7 10.9 60.2 | Regulus 207 28.6 N11 48.4
3 | 225 55.8 S23 22.3 | 172 39.1 8.0 S10 28.7 11.0 60.2 |
4 | 240 55.5 S23 22.4 | 187 06.1 8.0 S10 17.7 11.0 60.2 | Rigel 280 58.3 S 8 10.1
T 5 | 255 55.2 S23 22.5 | 201 33.2 8.1 S10 06.6 11.1 60.1 | Rigil Kent 139 33.2 S60 57.7
H | | | Sabik 101 56.9 S15 45.7
U 6 | 270 54.8 S23 22.5 | 216 00.4 8.2 S 9 55.4 11.2 60.1 | Schedar 349 24.4 N56 43.1
R 7 | 285 54.5 S23 22.6 | 230 27.6 8.2 S 9 44.2 11.2 60.1 | Shaula 96 03.4 S37 07.4
S 8 | 300 54.2 S23 22.7 | 244 54.9 8.3 S 9 32.9 11.3 60.1 |
D 9 | 315 53.9 S23 22.8 | 259 22.3 8.4 S 9 21.6 11.3 60.1 | Sirius 258 21.1 S16 45.8
A 10 | 330 53.6 S23 22.8 | 273 49.8 8.5 S 9 10.3 11.4 60.0 | Spica 158 16.7 S11 19.6
Y 11 | 345 53.3 S23 22.9 | 288 17.3 8.5 S 8 58.9 11.4 60.0 | Suhail 222 41.9 S43 33.7
| | | Vega 80 30.0 N38 49.1
12 | 0 53.0 S23 23.0 | 302 44.9 8.6 S 8 47.4 11.4 60.0 | Zuben-ubi 136 51.3 S16 10.3
13 | 15 52.7 S23 23.0 | 317 12.5 8.7 S 8 35.9 11.5 60.0 |
14 | 30 52.4 S23 23.1 | 331 40.2 8.7 S 8 24.4 11.5 59.9 |
15 | 45 52.1 S23 23.2 | 346 08.0 8.8 S 8 12.8 11.6 59.9 |
16 | 60 51.8 S23 23.2 | 0 35.9 8.8 S 8 01.2 11.6 59.9 |
17 | 75 51.5 S23 23.3 | 15 03.8 8.9 S 7 49.6 11.6 59.9 |
| | |
18 | 90 51.2 S23 23.4 | 29 31.8 9.0 S 7 37.9 11.7 59.8 |
19 | 105 50.8 S23 23.4 | 43 59.8 9.0 S 7 26.2 11.7 59.8 |
20 | 120 50.5 S23 23.5 | 58 27.9 9.1 S 7 14.4 11.7 59.8 |
21 | 135 50.2 S23 23.6 | 72 56.1 9.2 S 7 02.7 11.8 59.8 |
22 | 150 49.9 S23 23.6 | 87 24.3 9.2 S 6 50.8 11.8 59.7 |
23 | 165 49.6 S23 23.7 | 101 52.6 9.3 S 6 39.0 11.8 59.7 |
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|S.D. 16.3 d 0.1 | S.D. 16.6 16.5 16.3 |
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