
2093 DEC. 20, 21, 22 (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 | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
20 0 | 89 21.2 | 184 44.6 S21 17.8 | 133 09.9 S17 59.4 | 93 22.2 S 3 09.5 | 320 01.2 N18 56.8
1 | 104 23.6 | 199 48.6 S21 17.2 | 148 10.4 S17 58.8 | 108 24.4 S 3 09.3 | 335 03.8 N18 56.8
2 | 119 26.1 | 214 52.6 S21 16.5 | 163 10.9 S17 58.2 | 123 26.6 S 3 09.2 | 350 06.5 N18 56.8
3 | 134 28.6 | 229 56.7 S21 15.8 | 178 11.4 S17 57.7 | 138 28.9 S 3 09.1 | 5 09.1 N18 56.9
4 | 149 31.0 | 245 00.7 S21 15.1 | 193 11.9 S17 57.1 | 153 31.1 S 3 09.0 | 20 11.7 N18 56.9
S 5 | 164 33.5 | 260 04.7 S21 14.5 | 208 12.4 S17 56.5 | 168 33.3 S 3 08.9 | 35 14.3 N18 57.0
U
N 6 | 179 36.0 | 275 08.7 S21 13.8 | 223 13.0 S17 55.9 | 183 35.5 S 3 08.8 | 50 16.9 N18 57.0
D 7 | 194 38.4 | 290 12.8 S21 13.1 | 238 13.5 S17 55.3 | 198 37.8 S 3 08.7 | 65 19.5 N18 57.0
A 8 | 209 40.9 | 305 16.8 S21 12.4 | 253 14.0 S17 54.7 | 213 40.0 S 3 08.6 | 80 22.1 N18 57.1
Y 9 | 224 43.3 | 320 20.8 S21 11.8 | 268 14.5 S17 54.2 | 228 42.2 S 3 08.4 | 95 24.7 N18 57.1
10 | 239 45.8 | 335 24.8 S21 11.1 | 283 15.0 S17 53.6 | 243 44.4 S 3 08.3 | 110 27.3 N18 57.2
11 | 254 48.3 | 350 28.8 S21 10.4 | 298 15.5 S17 53.0 | 258 46.7 S 3 08.2 | 125 29.9 N18 57.2
12 | 269 50.7 | 5 32.9 S21 09.8 | 313 16.0 S17 52.4 | 273 48.9 S 3 08.1 | 140 32.5 N18 57.2
13 | 284 53.2 | 20 36.9 S21 09.1 | 328 16.5 S17 51.8 | 288 51.1 S 3 08.0 | 155 35.1 N18 57.3
14 | 299 55.7 | 35 40.9 S21 08.4 | 343 17.0 S17 51.2 | 303 53.3 S 3 07.9 | 170 37.7 N18 57.3
15 | 314 58.1 | 50 44.9 S21 07.8 | 358 17.5 S17 50.7 | 318 55.6 S 3 07.8 | 185 40.3 N18 57.4
16 | 330 00.6 | 65 48.9 S21 07.1 | 13 18.0 S17 50.1 | 333 57.8 S 3 07.6 | 200 42.9 N18 57.4
17 | 345 03.1 | 80 52.9 S21 06.4 | 28 18.5 S17 49.5 | 349 00.0 S 3 07.5 | 215 45.5 N18 57.4
18 | 0 05.5 | 95 56.9 S21 05.8 | 43 19.1 S17 48.9 | 4 02.2 S 3 07.4 | 230 48.1 N18 57.5
19 | 15 08.0 | 111 00.9 S21 05.1 | 58 19.6 S17 48.3 | 19 04.5 S 3 07.3 | 245 50.8 N18 57.5
20 | 30 10.5 | 126 04.9 S21 04.4 | 73 20.1 S17 47.7 | 34 06.7 S 3 07.2 | 260 53.4 N18 57.6
21 | 45 12.9 | 141 08.9 S21 03.8 | 88 20.6 S17 47.1 | 49 08.9 S 3 07.1 | 275 56.0 N18 57.6
22 | 60 15.4 | 156 12.9 S21 03.1 | 103 21.1 S17 46.6 | 64 11.1 S 3 07.0 | 290 58.6 N18 57.7
23 | 75 17.8 | 171 16.9 S21 02.4 | 118 21.6 S17 46.0 | 79 13.4 S 3 06.8 | 306 01.2 N18 57.7
------+----------+-------------------+-------------------+-------------------+--------------------
21 0 | 90 20.3 | 186 20.9 S21 01.8 | 133 22.1 S17 45.4 | 94 15.6 S 3 06.7 | 321 03.8 N18 57.7
1 | 105 22.8 | 201 24.9 S21 01.1 | 148 22.6 S17 44.8 | 109 17.8 S 3 06.6 | 336 06.4 N18 57.8
2 | 120 25.2 | 216 28.9 S21 00.4 | 163 23.1 S17 44.2 | 124 20.0 S 3 06.5 | 351 09.0 N18 57.8
3 | 135 27.7 | 231 32.9 S20 59.8 | 178 23.7 S17 43.6 | 139 22.2 S 3 06.4 | 6 11.6 N18 57.9
4 | 150 30.2 | 246 36.9 S20 59.1 | 193 24.2 S17 43.0 | 154 24.5 S 3 06.3 | 21 14.2 N18 57.9
M 5 | 165 32.6 | 261 40.9 S20 58.4 | 208 24.7 S17 42.4 | 169 26.7 S 3 06.1 | 36 16.8 N18 57.9
O
N 6 | 180 35.1 | 276 44.9 S20 57.8 | 223 25.2 S17 41.8 | 184 28.9 S 3 06.0 | 51 19.4 N18 58.0
D 7 | 195 37.6 | 291 48.9 S20 57.1 | 238 25.7 S17 41.3 | 199 31.1 S 3 05.9 | 66 22.0 N18 58.0
A 8 | 210 40.0 | 306 52.9 S20 56.5 | 253 26.2 S17 40.7 | 214 33.3 S 3 05.8 | 81 24.7 N18 58.1
Y 9 | 225 42.5 | 321 56.8 S20 55.8 | 268 26.7 S17 40.1 | 229 35.6 S 3 05.7 | 96 27.3 N18 58.1
10 | 240 45.0 | 337 00.8 S20 55.1 | 283 27.2 S17 39.5 | 244 37.8 S 3 05.6 | 111 29.9 N18 58.1
11 | 255 47.4 | 352 04.8 S20 54.5 | 298 27.8 S17 38.9 | 259 40.0 S 3 05.4 | 126 32.5 N18 58.2
12 | 270 49.9 | 7 08.8 S20 53.8 | 313 28.3 S17 38.3 | 274 42.2 S 3 05.3 | 141 35.1 N18 58.2
13 | 285 52.3 | 22 12.7 S20 53.2 | 328 28.8 S17 37.7 | 289 44.4 S 3 05.2 | 156 37.7 N18 58.3
14 | 300 54.8 | 37 16.7 S20 52.5 | 343 29.3 S17 37.1 | 304 46.6 S 3 05.1 | 171 40.3 N18 58.3
15 | 315 57.3 | 52 20.7 S20 51.8 | 358 29.8 S17 36.5 | 319 48.9 S 3 05.0 | 186 42.9 N18 58.4
16 | 330 59.7 | 67 24.7 S20 51.2 | 13 30.3 S17 35.9 | 334 51.1 S 3 04.9 | 201 45.5 N18 58.4
17 | 346 02.2 | 82 28.6 S20 50.5 | 28 30.8 S17 35.3 | 349 53.3 S 3 04.7 | 216 48.1 N18 58.4
18 | 1 04.7 | 97 32.6 S20 49.9 | 43 31.4 S17 34.7 | 4 55.5 S 3 04.6 | 231 50.8 N18 58.5
19 | 16 07.1 | 112 36.5 S20 49.2 | 58 31.9 S17 34.1 | 19 57.7 S 3 04.5 | 246 53.4 N18 58.5
20 | 31 09.6 | 127 40.5 S20 48.6 | 73 32.4 S17 33.6 | 34 59.9 S 3 04.4 | 261 56.0 N18 58.6
21 | 46 12.1 | 142 44.5 S20 47.9 | 88 32.9 S17 33.0 | 50 02.2 S 3 04.3 | 276 58.6 N18 58.6
22 | 61 14.5 | 157 48.4 S20 47.3 | 103 33.4 S17 32.4 | 65 04.4 S 3 04.1 | 292 01.2 N18 58.6
23 | 76 17.0 | 172 52.4 S20 46.6 | 118 33.9 S17 31.8 | 80 06.6 S 3 04.0 | 307 03.8 N18 58.7
------+----------+-------------------+-------------------+-------------------+--------------------
22 0 | 91 19.5 | 187 56.3 S20 45.9 | 133 34.4 S17 31.2 | 95 08.8 S 3 03.9 | 322 06.4 N18 58.7
1 | 106 21.9 | 203 00.3 S20 45.3 | 148 35.0 S17 30.6 | 110 11.0 S 3 03.8 | 337 09.0 N18 58.8
2 | 121 24.4 | 218 04.2 S20 44.6 | 163 35.5 S17 30.0 | 125 13.2 S 3 03.7 | 352 11.6 N18 58.8
3 | 136 26.8 | 233 08.2 S20 44.0 | 178 36.0 S17 29.4 | 140 15.5 S 3 03.6 | 7 14.3 N18 58.9
4 | 151 29.3 | 248 12.1 S20 43.3 | 193 36.5 S17 28.8 | 155 17.7 S 3 03.4 | 22 16.9 N18 58.9
T 5 | 166 31.8 | 263 16.0 S20 42.7 | 208 37.0 S17 28.2 | 170 19.9 S 3 03.3 | 37 19.5 N18 58.9
U
E 6 | 181 34.2 | 278 20.0 S20 42.0 | 223 37.5 S17 27.6 | 185 22.1 S 3 03.2 | 52 22.1 N18 59.0
S 7 | 196 36.7 | 293 23.9 S20 41.4 | 238 38.1 S17 27.0 | 200 24.3 S 3 03.1 | 67 24.7 N18 59.0
D 8 | 211 39.2 | 308 27.8 S20 40.7 | 253 38.6 S17 26.4 | 215 26.5 S 3 03.0 | 82 27.3 N18 59.1
A 9 | 226 41.6 | 323 31.8 S20 40.1 | 268 39.1 S17 25.8 | 230 28.7 S 3 02.8 | 97 29.9 N18 59.1
Y 10 | 241 44.1 | 338 35.7 S20 39.5 | 283 39.6 S17 25.2 | 245 30.9 S 3 02.7 | 112 32.5 N18 59.2
11 | 256 46.6 | 353 39.6 S20 38.8 | 298 40.1 S17 24.6 | 260 33.2 S 3 02.6 | 127 35.2 N18 59.2
12 | 271 49.0 | 8 43.5 S20 38.2 | 313 40.6 S17 24.0 | 275 35.4 S 3 02.5 | 142 37.8 N18 59.2
13 | 286 51.5 | 23 47.5 S20 37.5 | 328 41.2 S17 23.4 | 290 37.6 S 3 02.4 | 157 40.4 N18 59.3
14 | 301 53.9 | 38 51.4 S20 36.9 | 343 41.7 S17 22.8 | 305 39.8 S 3 02.2 | 172 43.0 N18 59.3
15 | 316 56.4 | 53 55.3 S20 36.2 | 358 42.2 S17 22.2 | 320 42.0 S 3 02.1 | 187 45.6 N18 59.4
16 | 331 58.9 | 68 59.2 S20 35.6 | 13 42.7 S17 21.6 | 335 44.2 S 3 02.0 | 202 48.2 N18 59.4
17 | 347 01.3 | 84 03.1 S20 34.9 | 28 43.2 S17 21.0 | 350 46.4 S 3 01.9 | 217 50.8 N18 59.4
18 | 2 03.8 | 99 07.0 S20 34.3 | 43 43.7 S17 20.4 | 5 48.6 S 3 01.8 | 232 53.5 N18 59.5
19 | 17 06.3 | 114 10.9 S20 33.7 | 58 44.3 S17 19.8 | 20 50.8 S 3 01.6 | 247 56.1 N18 59.5
20 | 32 08.7 | 129 14.8 S20 33.0 | 73 44.8 S17 19.2 | 35 53.1 S 3 01.5 | 262 58.7 N18 59.6
21 | 47 11.2 | 144 18.7 S20 32.4 | 88 45.3 S17 18.6 | 50 55.3 S 3 01.4 | 278 01.3 N18 59.6
22 | 62 13.7 | 159 22.6 S20 31.7 | 103 45.8 S17 18.0 | 65 57.5 S 3 01.3 | 293 03.9 N18 59.7
23 | 77 16.1 | 174 26.5 S20 31.1 | 118 46.3 S17 17.4 | 80 59.7 S 3 01.2 | 308 06.5 N18 59.7
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| v 4.0 d 0.7 | v 0.5 d 0.6 | v 2.2 d 0.1 | v 2.6 d 0.0
2093 DEC. 20, 21, 22 (SUN, MON, TUE)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
20 0 | 180 37.0 S23 25.3 | 155 22.4 3.1 S22 05.9 2.6 60.8 | Acamar 314 32.4 S39 56.2
1 | 195 36.7 S23 25.3 | 169 44.5 3.1 S22 03.2 2.7 60.8 | Achernar 334 41.9 S56 46.1
2 | 210 36.4 S23 25.3 | 184 06.7 3.1 S22 00.3 2.9 60.8 | Acrux 172 02.0 S63 36.7
3 | 225 36.1 S23 25.3 | 198 28.8 3.2 S21 57.2 3.1 60.8 | Adhara 254 24.9 S29 06.2
4 | 240 35.8 S23 25.3 | 212 51.0 3.2 S21 54.0 3.2 60.8 | Albireo 66 22.8 N28 09.7
S 5 | 255 35.5 S23 25.4 | 227 13.3 3.2 S21 50.6 3.4 60.8 |
U | | | Aldebaran 289 40.1 N16 41.5
N 6 | 270 35.2 S23 25.4 | 241 35.6 3.3 S21 47.1 3.5 60.8 | Alioth 165 28.2 N55 26.9
D 7 | 285 34.9 S23 25.4 | 255 57.9 3.3 S21 43.4 3.7 60.8 | Alkaid 152 11.9 N48 50.7
A 8 | 300 34.5 S23 25.4 | 270 20.3 3.4 S21 39.5 3.9 60.8 | Al Na-ir 26 28.7 S46 30.5
Y 9 | 315 34.2 S23 25.4 | 284 42.7 3.4 S21 35.5 4.0 60.8 | Alnilam 274 45.0 S 1 08.9
10 | 330 33.9 S23 25.4 | 299 05.2 3.5 S21 31.3 4.2 60.8 |
11 | 345 33.6 S23 25.5 | 313 27.7 3.5 S21 27.0 4.3 60.8 | Alphard 216 56.9 S 9 04.1
| | | Alphecca 125 20.4 N26 24.1
12 | 0 33.3 S23 25.5 | 327 50.3 3.6 S21 22.5 4.5 60.8 | Alpheratz 356 41.3 N29 36.6
13 | 15 33.0 S23 25.5 | 342 12.9 3.6 S21 17.8 4.6 60.8 | Altair 61 10.0 N 9 07.3
14 | 30 32.7 S23 25.5 | 356 35.6 3.7 S21 13.0 4.8 60.8 | Ankaa 352 16.5 S41 48.2
15 | 45 32.4 S23 25.5 | 10 58.4 3.7 S21 08.1 5.0 60.8 |
16 | 60 32.1 S23 25.5 | 25 21.2 3.8 S21 03.0 5.1 60.7 | Antares 111 12.9 S26 37.9
17 | 75 31.8 S23 25.5 | 39 44.1 3.9 S20 57.7 5.3 60.7 | Arcturus 145 01.1 N18 41.8
| | | Atria 105 21.3 S69 11.2
18 | 90 31.4 S23 25.5 | 54 07.0 3.9 S20 52.3 5.4 60.7 | Avior 233 52.9 S59 48.6
19 | 105 31.1 S23 25.5 | 68 30.0 4.0 S20 46.8 5.6 60.7 | Bellatrix 277 27.2 N 6 25.7
20 | 120 30.8 S23 25.6 | 82 53.1 4.1 S20 41.1 5.7 60.7 |
21 | 135 30.5 S23 25.6 | 97 16.2 4.1 S20 35.2 5.9 60.7 | Betelgeuse 269 55.9 N 7 25.1
22 | 150 30.2 S23 25.6 | 111 39.4 4.2 S20 29.2 6.0 60.7 | Canopus 263 28.8 S52 45.0
23 | 165 29.9 S23 25.6 | 126 02.7 4.3 S20 23.1 6.1 60.7 | Capella 279 05.2 N46 05.2
------+-------------------+----------------------------------| Castor 244 51.1 N31 40.5
21 0 | 180 29.6 S23 25.6 | 140 26.0 4.4 S20 16.8 6.3 60.6 | Deneb 48 50.9 N45 37.2
1 | 195 29.3 S23 25.6 | 154 49.5 4.4 S20 10.4 6.4 60.6 |
2 | 210 29.0 S23 25.6 | 169 13.0 4.5 S20 03.8 6.6 60.6 | Denebola 181 32.5 N14 02.8
3 | 225 28.6 S23 25.6 | 183 36.5 4.6 S19 57.1 6.7 60.6 | Diphda 347 55.6 S17 28.5
4 | 240 28.3 S23 25.6 | 198 00.2 4.7 S19 50.3 6.8 60.6 | Dubhe 192 38.1 N61 14.3
M 5 | 255 28.0 S23 25.6 | 212 23.9 4.7 S19 43.3 7.0 60.6 | Elnath 276 56.3 N28 40.7
O | | | Eltanin 90 18.8 N51 28.8
N 6 | 270 27.7 S23 25.6 | 226 47.7 4.8 S19 36.2 7.1 60.6 |
D 7 | 285 27.4 S23 25.6 | 241 11.6 4.9 S19 28.9 7.2 60.5 | Enif 32 48.3 N10 18.5
A 8 | 300 27.1 S23 25.6 | 255 35.6 5.0 S19 21.6 7.4 60.5 | Fomalhaut 14 17.9 S29 07.6
Y 9 | 315 26.8 S23 25.6 | 269 59.6 5.1 S19 14.1 7.5 60.5 | Gacrux 170 53.9 S57 37.9
10 | 330 26.5 S23 25.6 | 284 23.8 5.1 S19 06.4 7.6 60.5 | Gienah 174 50.5 S18 03.6
11 | 345 26.2 S23 25.6 | 298 48.0 5.2 S18 58.7 7.8 60.5 | Hadar 147 22.8 S60 49.0
| | |
12 | 0 25.8 S23 25.5 | 313 12.3 5.3 S18 50.8 7.9 60.5 | Hamal 326 52.7 N23 54.2
13 | 15 25.5 S23 25.5 | 327 36.7 5.4 S18 42.8 8.0 60.4 | Kaus Austr. 82 24.6 S34 20.0
14 | 30 25.2 S23 25.5 | 342 01.2 5.5 S18 34.7 8.1 60.4 | Kochab 137 23.4 N73 46.1
15 | 45 24.9 S23 25.5 | 356 25.8 5.6 S18 26.4 8.2 60.4 | Markab 12 38.6 N15 42.7
16 | 60 24.6 S23 25.5 | 10 50.4 5.7 S18 18.1 8.4 60.4 | Menkar 313 11.9 N 4 27.2
17 | 75 24.3 S23 25.5 | 25 15.2 5.7 S18 09.6 8.5 60.4 |
| | | Menkent 146 56.9 S36 49.5
18 | 90 24.0 S23 25.5 | 39 40.0 5.8 S18 01.0 8.6 60.3 | Miaplacidus 221 26.1 S70 06.0
19 | 105 23.7 S23 25.5 | 54 04.9 5.9 S17 52.3 8.7 60.3 | Mirfak 307 13.8 N50 11.5
20 | 120 23.4 S23 25.5 | 68 29.9 6.0 S17 43.4 8.8 60.3 | Nunki 74 44.3 S26 10.4
21 | 135 23.1 S23 25.4 | 82 55.1 6.1 S17 34.5 8.9 60.3 | Peacock 51 45.3 S56 25.9
22 | 150 22.7 S23 25.4 | 97 20.3 6.2 S17 25.5 9.0 60.3 |
23 | 165 22.4 S23 25.4 | 111 45.5 6.3 S17 16.3 9.2 60.2 | Polaris 298 38.1 N89 40.2
------+-------------------+----------------------------------| Pollux 242 14.1 N27 47.5
22 0 | 180 22.1 S23 25.4 | 126 10.9 6.4 S17 07.1 9.3 60.2 | Procyon 243 56.6 N 4 58.7
1 | 195 21.8 S23 25.4 | 140 36.4 6.5 S16 57.7 9.4 60.2 | Rasalhague 95 11.1 N12 29.9
2 | 210 21.5 S23 25.4 | 155 02.0 6.6 S16 48.2 9.5 60.2 | Regulus 206 39.5 N11 30.3
3 | 225 21.2 S23 25.3 | 169 27.6 6.7 S16 38.6 9.6 60.1 |
4 | 240 20.9 S23 25.3 | 183 53.4 6.8 S16 29.0 9.7 60.1 | Rigel 280 14.0 S 8 06.0
T 5 | 255 20.6 S23 25.3 | 198 19.2 6.8 S16 19.2 9.8 60.1 | Rigil Kent 138 30.2 S61 12.8
U | | | Sabik 101 04.0 S15 50.1
E 6 | 270 20.3 S23 25.3 | 212 45.2 6.9 S16 09.3 9.9 60.1 | Schedar 348 31.7 N57 03.2
S 7 | 285 19.9 S23 25.3 | 227 11.2 7.0 S15 59.4 10.0 60.0 | Shaula 95 00.8 S37 09.9
D 8 | 300 19.6 S23 25.2 | 241 37.3 7.1 S15 49.3 10.1 60.0 |
A 9 | 315 19.3 S23 25.2 | 256 03.5 7.2 S15 39.2 10.1 60.0 | Sirius 257 40.5 S16 51.0
Y 10 | 330 19.0 S23 25.2 | 270 29.8 7.3 S15 29.0 10.2 60.0 | Spica 157 28.0 S11 38.8
11 | 345 18.7 S23 25.2 | 284 56.2 7.4 S15 18.6 10.3 60.0 | Suhail 222 07.9 S43 48.6
| | | Vega 79 58.7 N38 52.5
12 | 0 18.4 S23 25.1 | 299 22.7 7.5 S15 08.2 10.4 59.9 | Zuben-ubi 136 01.7 S16 25.5
13 | 15 18.1 S23 25.1 | 313 49.3 7.6 S14 57.7 10.5 59.9 |
14 | 30 17.8 S23 25.1 | 328 16.0 7.7 S14 47.2 10.6 59.9 |
15 | 45 17.5 S23 25.1 | 342 42.7 7.8 S14 36.5 10.7 59.8 |
16 | 60 17.2 S23 25.0 | 357 09.6 7.9 S14 25.8 10.7 59.8 |
17 | 75 16.8 S23 25.0 | 11 36.5 7.9 S14 15.0 10.8 59.8 |
| | |
18 | 90 16.5 S23 25.0 | 26 03.6 8.0 S14 04.1 10.9 59.8 |
19 | 105 16.2 S23 24.9 | 40 30.7 8.1 S13 53.1 11.0 59.7 |
20 | 120 15.9 S23 24.9 | 54 57.9 8.2 S13 42.1 11.0 59.7 |
21 | 135 15.6 S23 24.9 | 69 25.2 8.3 S13 30.9 11.1 59.7 |
22 | 150 15.3 S23 24.8 | 83 52.6 8.4 S13 19.8 11.2 59.7 |
23 | 165 15.0 S23 24.8 | 98 20.1 8.5 S13 08.5 11.3 59.6 |
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|S.D. 16.3 d 0.0 | S.D. 16.6 16.5 16.3 |
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