
2578 DEC. 20, 21, 22 (SUN, MON, TUE)
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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 | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
20 0 | 88 54.7 | 201 11.6 S20 48.0 | 167 40.8 S23 52.3 | 126 11.5 S15 28.9 | 157 01.0 S21 35.3
1 | 103 57.1 | 216 10.7 S20 48.6 | 182 41.2 S23 52.2 | 141 13.5 S15 28.7 | 172 03.2 S21 35.3
2 | 118 59.6 | 231 09.9 S20 49.1 | 197 41.6 S23 52.1 | 156 15.5 S15 28.6 | 187 05.4 S21 35.2
3 | 134 02.1 | 246 09.1 S20 49.7 | 212 42.0 S23 52.0 | 171 17.5 S15 28.4 | 202 07.5 S21 35.2
4 | 149 04.5 | 261 08.2 S20 50.2 | 227 42.4 S23 51.8 | 186 19.5 S15 28.3 | 217 09.7 S21 35.2
S 5 | 164 07.0 | 276 07.4 S20 50.8 | 242 42.8 S23 51.7 | 201 21.5 S15 28.1 | 232 11.9 S21 35.1
U
N 6 | 179 09.5 | 291 06.5 S20 51.3 | 257 43.2 S23 51.5 | 216 23.5 S15 28.0 | 247 14.0 S21 35.1
D 7 | 194 11.9 | 306 05.7 S20 51.9 | 272 43.6 S23 51.4 | 231 25.5 S15 27.8 | 262 16.2 S21 35.1
A 8 | 209 14.4 | 321 04.9 S20 52.4 | 287 44.0 S23 51.3 | 246 27.5 S15 27.7 | 277 18.4 S21 35.0
Y 9 | 224 16.8 | 336 04.0 S20 53.0 | 302 44.4 S23 51.1 | 261 29.5 S15 27.5 | 292 20.5 S21 35.0
10 | 239 19.3 | 351 03.2 S20 53.5 | 317 44.8 S23 51.0 | 276 31.5 S15 27.4 | 307 22.7 S21 34.9
11 | 254 21.8 | 6 02.4 S20 54.1 | 332 45.2 S23 50.9 | 291 33.5 S15 27.2 | 322 24.8 S21 34.9
12 | 269 24.2 | 21 01.5 S20 54.6 | 347 45.6 S23 50.7 | 306 35.5 S15 27.1 | 337 27.0 S21 34.9
13 | 284 26.7 | 36 00.7 S20 55.2 | 2 46.0 S23 50.6 | 321 37.5 S15 26.9 | 352 29.2 S21 34.8
14 | 299 29.2 | 50 59.8 S20 55.7 | 17 46.4 S23 50.5 | 336 39.5 S15 26.8 | 7 31.3 S21 34.8
15 | 314 31.6 | 65 59.0 S20 56.3 | 32 46.8 S23 50.3 | 351 41.5 S15 26.6 | 22 33.5 S21 34.7
16 | 329 34.1 | 80 58.2 S20 56.8 | 47 47.2 S23 50.2 | 6 43.5 S15 26.5 | 37 35.7 S21 34.7
17 | 344 36.6 | 95 57.3 S20 57.4 | 62 47.6 S23 50.0 | 21 45.5 S15 26.3 | 52 37.8 S21 34.7
18 | 359 39.0 | 110 56.5 S20 57.9 | 77 48.0 S23 49.9 | 36 47.5 S15 26.2 | 67 40.0 S21 34.6
19 | 14 41.5 | 125 55.6 S20 58.4 | 92 48.4 S23 49.8 | 51 49.5 S15 26.0 | 82 42.2 S21 34.6
20 | 29 43.9 | 140 54.8 S20 59.0 | 107 48.8 S23 49.6 | 66 51.5 S15 25.9 | 97 44.3 S21 34.6
21 | 44 46.4 | 155 54.0 S20 59.5 | 122 49.2 S23 49.5 | 81 53.5 S15 25.7 | 112 46.5 S21 34.5
22 | 59 48.9 | 170 53.1 S21 00.1 | 137 49.6 S23 49.3 | 96 55.5 S15 25.6 | 127 48.7 S21 34.5
23 | 74 51.3 | 185 52.3 S21 00.6 | 152 50.0 S23 49.2 | 111 57.5 S15 25.4 | 142 50.8 S21 34.4
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21 0 | 89 53.8 | 200 51.4 S21 01.1 | 167 50.5 S23 49.1 | 126 59.4 S15 25.3 | 157 53.0 S21 34.4
1 | 104 56.3 | 215 50.6 S21 01.7 | 182 50.9 S23 48.9 | 142 01.4 S15 25.1 | 172 55.1 S21 34.4
2 | 119 58.7 | 230 49.7 S21 02.2 | 197 51.3 S23 48.8 | 157 03.4 S15 24.9 | 187 57.3 S21 34.3
3 | 135 01.2 | 245 48.9 S21 02.7 | 212 51.7 S23 48.6 | 172 05.4 S15 24.8 | 202 59.5 S21 34.3
4 | 150 03.7 | 260 48.0 S21 03.2 | 227 52.1 S23 48.5 | 187 07.4 S15 24.6 | 218 01.6 S21 34.2
M 5 | 165 06.1 | 275 47.2 S21 03.8 | 242 52.5 S23 48.3 | 202 09.4 S15 24.5 | 233 03.8 S21 34.2
O
N 6 | 180 08.6 | 290 46.4 S21 04.3 | 257 52.9 S23 48.2 | 217 11.4 S15 24.3 | 248 06.0 S21 34.2
D 7 | 195 11.1 | 305 45.5 S21 04.8 | 272 53.3 S23 48.1 | 232 13.4 S15 24.2 | 263 08.1 S21 34.1
A 8 | 210 13.5 | 320 44.7 S21 05.4 | 287 53.7 S23 47.9 | 247 15.4 S15 24.0 | 278 10.3 S21 34.1
Y 9 | 225 16.0 | 335 43.8 S21 05.9 | 302 54.1 S23 47.8 | 262 17.4 S15 23.9 | 293 12.5 S21 34.1
10 | 240 18.4 | 350 43.0 S21 06.4 | 317 54.5 S23 47.6 | 277 19.4 S15 23.7 | 308 14.6 S21 34.0
11 | 255 20.9 | 5 42.1 S21 06.9 | 332 54.9 S23 47.5 | 292 21.4 S15 23.6 | 323 16.8 S21 34.0
12 | 270 23.4 | 20 41.3 S21 07.5 | 347 55.3 S23 47.3 | 307 23.4 S15 23.4 | 338 18.9 S21 33.9
13 | 285 25.8 | 35 40.4 S21 08.0 | 2 55.7 S23 47.2 | 322 25.4 S15 23.3 | 353 21.1 S21 33.9
14 | 300 28.3 | 50 39.6 S21 08.5 | 17 56.1 S23 47.0 | 337 27.4 S15 23.1 | 8 23.3 S21 33.9
15 | 315 30.8 | 65 38.7 S21 09.0 | 32 56.5 S23 46.9 | 352 29.4 S15 23.0 | 23 25.4 S21 33.8
16 | 330 33.2 | 80 37.9 S21 09.5 | 47 56.9 S23 46.7 | 7 31.3 S15 22.8 | 38 27.6 S21 33.8
17 | 345 35.7 | 95 37.0 S21 10.1 | 62 57.3 S23 46.6 | 22 33.3 S15 22.7 | 53 29.8 S21 33.7
18 | 0 38.2 | 110 36.2 S21 10.6 | 77 57.7 S23 46.4 | 37 35.3 S15 22.5 | 68 31.9 S21 33.7
19 | 15 40.6 | 125 35.3 S21 11.1 | 92 58.1 S23 46.3 | 52 37.3 S15 22.4 | 83 34.1 S21 33.7
20 | 30 43.1 | 140 34.5 S21 11.6 | 107 58.5 S23 46.1 | 67 39.3 S15 22.2 | 98 36.3 S21 33.6
21 | 45 45.6 | 155 33.6 S21 12.1 | 122 58.9 S23 46.0 | 82 41.3 S15 22.0 | 113 38.4 S21 33.6
22 | 60 48.0 | 170 32.8 S21 12.6 | 137 59.3 S23 45.8 | 97 43.3 S15 21.9 | 128 40.6 S21 33.5
23 | 75 50.5 | 185 31.9 S21 13.1 | 152 59.7 S23 45.7 | 112 45.3 S15 21.7 | 143 42.7 S21 33.5
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22 0 | 90 52.9 | 200 31.0 S21 13.6 | 168 00.1 S23 45.5 | 127 47.3 S15 21.6 | 158 44.9 S21 33.5
1 | 105 55.4 | 215 30.2 S21 14.1 | 183 00.5 S23 45.4 | 142 49.3 S15 21.4 | 173 47.1 S21 33.4
2 | 120 57.9 | 230 29.3 S21 14.7 | 198 00.9 S23 45.2 | 157 51.3 S15 21.3 | 188 49.2 S21 33.4
3 | 136 00.3 | 245 28.5 S21 15.2 | 213 01.3 S23 45.0 | 172 53.2 S15 21.1 | 203 51.4 S21 33.4
4 | 151 02.8 | 260 27.6 S21 15.7 | 228 01.7 S23 44.9 | 187 55.2 S15 21.0 | 218 53.6 S21 33.3
T 5 | 166 05.3 | 275 26.8 S21 16.2 | 243 02.1 S23 44.7 | 202 57.2 S15 20.8 | 233 55.7 S21 33.3
U
E 6 | 181 07.7 | 290 25.9 S21 16.7 | 258 02.5 S23 44.6 | 217 59.2 S15 20.7 | 248 57.9 S21 33.2
S 7 | 196 10.2 | 305 25.1 S21 17.2 | 273 02.9 S23 44.4 | 233 01.2 S15 20.5 | 264 00.0 S21 33.2
D 8 | 211 12.7 | 320 24.2 S21 17.7 | 288 03.3 S23 44.3 | 248 03.2 S15 20.4 | 279 02.2 S21 33.2
A 9 | 226 15.1 | 335 23.3 S21 18.2 | 303 03.8 S23 44.1 | 263 05.2 S15 20.2 | 294 04.4 S21 33.1
Y 10 | 241 17.6 | 350 22.5 S21 18.7 | 318 04.2 S23 44.0 | 278 07.2 S15 20.0 | 309 06.5 S21 33.1
11 | 256 20.0 | 5 21.6 S21 19.2 | 333 04.6 S23 43.8 | 293 09.2 S15 19.9 | 324 08.7 S21 33.0
12 | 271 22.5 | 20 20.8 S21 19.7 | 348 05.0 S23 43.6 | 308 11.2 S15 19.7 | 339 10.9 S21 33.0
13 | 286 25.0 | 35 19.9 S21 20.2 | 3 05.4 S23 43.5 | 323 13.1 S15 19.6 | 354 13.0 S21 33.0
14 | 301 27.4 | 50 19.1 S21 20.7 | 18 05.8 S23 43.3 | 338 15.1 S15 19.4 | 9 15.2 S21 32.9
15 | 316 29.9 | 65 18.2 S21 21.2 | 33 06.2 S23 43.2 | 353 17.1 S15 19.3 | 24 17.3 S21 32.9
16 | 331 32.4 | 80 17.3 S21 21.6 | 48 06.6 S23 43.0 | 8 19.1 S15 19.1 | 39 19.5 S21 32.8
17 | 346 34.8 | 95 16.5 S21 22.1 | 63 07.0 S23 42.8 | 23 21.1 S15 19.0 | 54 21.7 S21 32.8
18 | 1 37.3 | 110 15.6 S21 22.6 | 78 07.4 S23 42.7 | 38 23.1 S15 18.8 | 69 23.8 S21 32.8
19 | 16 39.8 | 125 14.8 S21 23.1 | 93 07.8 S23 42.5 | 53 25.1 S15 18.7 | 84 26.0 S21 32.7
20 | 31 42.2 | 140 13.9 S21 23.6 | 108 08.2 S23 42.4 | 68 27.1 S15 18.5 | 99 28.1 S21 32.7
21 | 46 44.7 | 155 13.0 S21 24.1 | 123 08.6 S23 42.2 | 83 29.1 S15 18.3 | 114 30.3 S21 32.6
22 | 61 47.2 | 170 12.2 S21 24.6 | 138 09.0 S23 42.0 | 98 31.0 S15 18.2 | 129 32.5 S21 32.6
23 | 76 49.6 | 185 11.3 S21 25.1 | 153 09.4 S23 41.9 | 113 33.0 S15 18.0 | 144 34.6 S21 32.6
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| v -0.8 d 0.5 | v 0.4 d 0.1 | v 2.0 d 0.2 | v 2.2 d 0.0
2578 DEC. 20, 21, 22 (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 | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
20 0 | 180 55.7 S23 21.1 | 305 54.8 11.2 N18 58.3 8.3 56.0 | Acamar 309 54.7 S38 00.8
1 | 195 55.4 S23 21.1 | 320 25.0 11.2 N18 49.9 8.4 56.0 | Achernar 330 09.6 S54 19.2
2 | 210 55.1 S23 21.1 | 334 55.3 11.2 N18 41.4 8.5 56.0 | Acrux 165 12.0 S66 17.3
3 | 225 54.8 S23 21.2 | 349 25.5 11.3 N18 32.9 8.6 56.0 | Adhara 249 37.1 S29 46.8
4 | 240 54.5 S23 21.2 | 3 55.8 11.3 N18 24.2 8.7 56.0 | Albireo 61 27.6 N29 11.7
S 5 | 255 54.2 S23 21.2 | 18 26.2 11.3 N18 15.5 8.8 56.1 |
U | | | Aldebaran 282 40.6 N17 38.2
N 6 | 270 53.9 S23 21.3 | 32 56.5 11.4 N18 06.6 8.9 56.1 | Alioth 160 07.8 N52 49.8
D 7 | 285 53.6 S23 21.3 | 47 26.9 11.4 N17 57.7 8.9 56.1 | Alkaid 147 23.8 N46 26.4
A 8 | 300 53.3 S23 21.3 | 61 57.4 11.4 N17 48.6 9.0 56.1 | Al Na-ir 18 51.3 S44 09.2
Y 9 | 315 53.0 S23 21.3 | 76 27.8 11.5 N17 39.5 9.1 56.2 | Alnilam 268 34.1 S 0 51.9
10 | 330 52.7 S23 21.4 | 90 58.3 11.5 N17 30.3 9.2 56.2 |
11 | 345 52.4 S23 21.4 | 105 28.8 11.5 N17 20.9 9.3 56.2 | Alphard 210 57.8 S11 10.7
| | | Alphecca 120 10.5 N24 47.5
12 | 0 52.1 S23 21.4 | 119 59.4 11.5 N17 11.5 9.4 56.2 | Alpheratz 350 22.5 N32 16.8
13 | 15 51.8 S23 21.5 | 134 30.0 11.6 N17 02.0 9.5 56.3 | Altair 55 13.5 N10 25.2
14 | 30 51.5 S23 21.5 | 149 00.6 11.6 N16 52.4 9.6 56.3 | Ankaa 346 16.4 S39 10.8
15 | 45 51.2 S23 21.5 | 163 31.2 11.6 N16 42.7 9.7 56.3 |
16 | 60 50.9 S23 21.5 | 178 01.8 11.7 N16 33.0 9.8 56.3 | Antares 103 44.6 S27 40.6
17 | 75 50.6 S23 21.5 | 192 32.5 11.7 N16 23.1 9.9 56.4 | Arcturus 139 27.5 N16 11.4
| | | Atria 92 26.1 S70 01.5
18 | 90 50.3 S23 21.6 | 207 03.3 11.7 N16 13.2 9.9 56.4 | Avior 231 21.9 S61 22.5
19 | 105 50.0 S23 21.6 | 221 34.0 11.7 N16 03.1 10.0 56.4 | Bellatrix 270 55.2 N 6 50.3
20 | 120 49.7 S23 21.6 | 236 04.8 11.8 N15 53.0 10.1 56.4 |
21 | 135 49.4 S23 21.6 | 250 35.6 11.8 N15 42.8 10.2 56.5 | Betelgeuse 263 20.4 N 7 28.9
22 | 150 49.1 S23 21.6 | 265 06.4 11.8 N15 32.5 10.3 56.5 | Canopus 260 45.0 S53 01.5
23 | 165 48.8 S23 21.7 | 279 37.2 11.9 N15 22.1 10.4 56.5 | Capella 270 05.8 N46 32.4
------+-------------------+----------------------------------| Castor 237 06.2 N30 35.3
21 0 | 180 48.5 S23 21.7 | 294 08.1 11.9 N15 11.7 10.5 56.5 | Deneb 44 40.9 N47 21.7
1 | 195 48.2 S23 21.7 | 308 39.0 11.9 N15 01.1 10.5 56.6 |
2 | 210 47.9 S23 21.7 | 323 10.0 11.9 N14 50.5 10.6 56.6 | Denebola 175 20.2 N11 20.6
3 | 225 47.6 S23 21.7 | 337 40.9 12.0 N14 39.8 10.7 56.6 | Diphda 341 49.1 S14 49.6
4 | 240 47.3 S23 21.7 | 352 11.9 12.0 N14 29.0 10.8 56.6 | Dubhe 185 12.0 N58 37.1
M 5 | 255 47.0 S23 21.7 | 6 42.9 12.0 N14 18.2 10.9 56.7 | Elnath 269 14.7 N29 03.3
O | | | Eltanin 87 27.5 N51 26.1
N 6 | 270 46.7 S23 21.8 | 21 13.9 12.0 N14 07.2 10.9 56.7 |
D 7 | 285 46.4 S23 21.8 | 35 45.0 12.0 N13 56.2 11.0 56.7 | Enif 26 49.4 N12 32.3
A 8 | 300 46.1 S23 21.8 | 50 16.0 12.1 N13 45.1 11.1 56.7 | Fomalhaut 7 35.6 S26 33.5
Y 9 | 315 45.8 S23 21.8 | 64 47.1 12.1 N13 34.0 11.2 56.8 | Gacrux 164 05.9 S60 20.1
10 | 330 45.5 S23 21.8 | 79 18.2 12.1 N13 22.7 11.2 56.8 | Gienah 168 34.1 S20 44.5
11 | 345 45.2 S23 21.8 | 93 49.4 12.1 N13 11.4 11.3 56.8 | Hadar 138 43.6 S63 07.9
| | |
12 | 0 44.8 S23 21.8 | 108 20.5 12.2 N12 60.0 11.4 56.9 | Hamal 319 59.9 N26 10.5
13 | 15 44.5 S23 21.8 | 122 51.7 12.2 N12 48.5 11.5 56.9 | Kaus Austr. 74 20.6 S34 04.4
14 | 30 44.2 S23 21.8 | 137 22.9 12.2 N12 37.0 11.5 56.9 | Kochab 137 36.1 N71 47.4
15 | 45 43.9 S23 21.8 | 151 54.1 12.2 N12 25.4 11.6 56.9 | Markab 6 34.2 N18 19.1
16 | 60 43.6 S23 21.8 | 166 25.3 12.2 N12 13.7 11.7 57.0 | Menkar 306 49.5 N 6 19.8
17 | 75 43.3 S23 21.8 | 180 56.5 12.2 N12 02.0 11.8 57.0 |
| | | Menkent 139 45.6 S39 11.4
18 | 90 43.0 S23 21.8 | 195 27.8 12.3 N11 50.1 11.8 57.0 | Miaplacidus 220 05.8 S72 05.7
19 | 105 42.7 S23 21.8 | 209 59.1 12.3 N11 38.2 11.9 57.1 | Mirfak 298 30.5 N51 53.0
20 | 120 42.4 S23 21.8 | 224 30.4 12.3 N11 26.3 12.0 57.1 | Nunki 67 12.3 S25 32.6
21 | 135 42.1 S23 21.8 | 239 01.7 12.3 N11 14.3 12.0 57.1 | Peacock 42 12.0 S54 51.1
22 | 150 41.8 S23 21.8 | 253 33.0 12.3 N11 02.2 12.1 57.1 |
23 | 165 41.5 S23 21.8 | 268 04.3 12.3 N10 50.0 12.2 57.2 | Polaris 176 11.1 N91 51.0
------+-------------------+----------------------------------| Pollux 234 48.3 N26 35.8
22 0 | 180 41.2 S23 21.8 | 282 35.7 12.3 N10 37.8 12.2 57.2 | Procyon 237 34.6 N 3 42.9
1 | 195 40.9 S23 21.8 | 297 07.0 12.4 N10 25.5 12.3 57.2 | Rasalhague 89 31.5 N12 10.1
2 | 210 40.6 S23 21.8 | 311 38.4 12.4 N10 13.2 12.3 57.3 | Regulus 200 11.1 N 9 07.8
3 | 225 40.3 S23 21.8 | 326 09.8 12.4 N10 00.8 12.4 57.3 |
4 | 240 40.0 S23 21.8 | 340 41.2 12.4 N 9 48.3 12.5 57.3 | Rigel 274 22.5 S 7 33.9
T 5 | 255 39.7 S23 21.8 | 355 12.5 12.4 N 9 35.8 12.5 57.3 | Rigil Kent 130 10.9 S63 11.3
U | | | Sabik 94 05.0 S16 24.3
E 6 | 270 39.4 S23 21.8 | 9 43.9 12.4 N 9 23.2 12.6 57.4 | Schedar 341 34.2 N59 42.1
S 7 | 285 39.1 S23 21.8 | 24 15.3 12.4 N 9 10.6 12.6 57.4 | Shaula 86 45.1 S37 29.0
D 8 | 300 38.8 S23 21.8 | 38 46.8 12.4 N 8 57.9 12.7 57.4 |
A 9 | 315 38.5 S23 21.8 | 53 18.2 12.4 N 8 45.2 12.8 57.5 | Sirius 252 18.3 S17 32.1
Y 10 | 330 38.2 S23 21.8 | 67 49.6 12.4 N 8 32.3 12.8 57.5 | Spica 151 02.5 S14 09.6
11 | 345 37.9 S23 21.7 | 82 21.0 12.4 N 8 19.5 12.9 57.5 | Suhail 217 38.1 S45 46.5
| | | Vega 75 50.4 N39 20.5
12 | 0 37.6 S23 21.7 | 96 52.5 12.4 N 8 06.6 12.9 57.6 | Zuben-ubi 129 28.8 S18 25.0
13 | 15 37.3 S23 21.7 | 111 23.9 12.4 N 7 53.6 13.0 57.6 |
14 | 30 37.0 S23 21.7 | 125 55.3 12.4 N 7 40.6 13.0 57.6 |
15 | 45 36.7 S23 21.7 | 140 26.7 12.4 N 7 27.5 13.1 57.6 |
16 | 60 36.4 S23 21.7 | 154 58.2 12.4 N 7 14.4 13.1 57.7 |
17 | 75 36.1 S23 21.7 | 169 29.6 12.4 N 7 01.2 13.2 57.7 |
| | |
18 | 90 35.8 S23 21.6 | 184 01.0 12.4 N 6 48.0 13.2 57.7 |
19 | 105 35.4 S23 21.6 | 198 32.4 12.4 N 6 34.8 13.3 57.8 |
20 | 120 35.1 S23 21.6 | 213 03.8 12.4 N 6 21.5 13.3 57.8 |
21 | 135 34.8 S23 21.6 | 227 35.3 12.4 N 6 08.1 13.4 57.8 |
22 | 150 34.5 S23 21.6 | 242 06.7 12.4 N 5 54.7 13.4 57.9 |
23 | 165 34.2 S23 21.5 | 256 38.0 12.4 N 5 41.3 13.4 57.9 |
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|S.D. 16.2 d 0.0 | S.D. 15.3 15.5 15.7 |
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