
2871 DEC. 13, 14, 15 (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 | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
13 0 | 82 04.3 | 159 55.6 S23 57.7 | 215 09.0 S16 54.7 | 212 05.6 S17 16.5 | 164 04.6 S22 16.1
1 | 97 06.7 | 174 54.7 S23 57.5 | 230 09.8 S16 55.2 | 227 07.5 S17 16.7 | 179 06.7 S22 16.1
2 | 112 09.2 | 189 53.7 S23 57.4 | 245 10.6 S16 55.6 | 242 09.5 S17 16.8 | 194 08.9 S22 16.1
3 | 127 11.6 | 204 52.8 S23 57.2 | 260 11.4 S16 56.1 | 257 11.4 S17 16.9 | 209 11.0 S22 16.1
4 | 142 14.1 | 219 51.8 S23 57.0 | 275 12.3 S16 56.6 | 272 13.4 S17 17.1 | 224 13.2 S22 16.1
S 5 | 157 16.6 | 234 50.9 S23 56.8 | 290 13.1 S16 57.0 | 287 15.3 S17 17.2 | 239 15.3 S22 16.1
U
N 6 | 172 19.0 | 249 50.0 S23 56.6 | 305 13.9 S16 57.5 | 302 17.3 S17 17.3 | 254 17.5 S22 16.0
D 7 | 187 21.5 | 264 49.0 S23 56.4 | 320 14.7 S16 57.9 | 317 19.2 S17 17.4 | 269 19.6 S22 16.0
A 8 | 202 24.0 | 279 48.1 S23 56.3 | 335 15.5 S16 58.4 | 332 21.2 S17 17.6 | 284 21.8 S22 16.0
Y 9 | 217 26.4 | 294 47.1 S23 56.1 | 350 16.4 S16 58.9 | 347 23.1 S17 17.7 | 299 23.9 S22 16.0
10 | 232 28.9 | 309 46.2 S23 55.9 | 5 17.2 S16 59.3 | 2 25.1 S17 17.8 | 314 26.1 S22 16.0
11 | 247 31.4 | 324 45.2 S23 55.7 | 20 18.0 S16 59.8 | 17 27.0 S17 17.9 | 329 28.2 S22 16.0
12 | 262 33.8 | 339 44.3 S23 55.5 | 35 18.8 S17 00.2 | 32 29.0 S17 18.1 | 344 30.4 S22 16.0
13 | 277 36.3 | 354 43.4 S23 55.3 | 50 19.6 S17 00.7 | 47 30.9 S17 18.2 | 359 32.5 S22 16.0
14 | 292 38.8 | 9 42.4 S23 55.1 | 65 20.5 S17 01.2 | 62 32.9 S17 18.3 | 14 34.7 S22 15.9
15 | 307 41.2 | 24 41.5 S23 54.9 | 80 21.3 S17 01.6 | 77 34.8 S17 18.5 | 29 36.9 S22 15.9
16 | 322 43.7 | 39 40.5 S23 54.7 | 95 22.1 S17 02.1 | 92 36.8 S17 18.6 | 44 39.0 S22 15.9
17 | 337 46.1 | 54 39.6 S23 54.5 | 110 22.9 S17 02.5 | 107 38.7 S17 18.7 | 59 41.2 S22 15.9
18 | 352 48.6 | 69 38.6 S23 54.3 | 125 23.7 S17 03.0 | 122 40.7 S17 18.8 | 74 43.3 S22 15.9
19 | 7 51.1 | 84 37.7 S23 54.1 | 140 24.5 S17 03.4 | 137 42.6 S17 19.0 | 89 45.5 S22 15.9
20 | 22 53.5 | 99 36.8 S23 53.9 | 155 25.4 S17 03.9 | 152 44.6 S17 19.1 | 104 47.6 S22 15.9
21 | 37 56.0 | 114 35.8 S23 53.7 | 170 26.2 S17 04.4 | 167 46.5 S17 19.2 | 119 49.8 S22 15.9
22 | 52 58.5 | 129 34.9 S23 53.5 | 185 27.0 S17 04.8 | 182 48.5 S17 19.4 | 134 51.9 S22 15.8
23 | 68 00.9 | 144 33.9 S23 53.3 | 200 27.8 S17 05.3 | 197 50.4 S17 19.5 | 149 54.1 S22 15.8
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14 0 | 83 03.4 | 159 33.0 S23 53.1 | 215 28.6 S17 05.7 | 212 52.4 S17 19.6 | 164 56.2 S22 15.8
1 | 98 05.9 | 174 32.1 S23 52.9 | 230 29.5 S17 06.2 | 227 54.3 S17 19.7 | 179 58.4 S22 15.8
2 | 113 08.3 | 189 31.1 S23 52.7 | 245 30.3 S17 06.7 | 242 56.3 S17 19.9 | 195 00.5 S22 15.8
3 | 128 10.8 | 204 30.2 S23 52.5 | 260 31.1 S17 07.1 | 257 58.2 S17 20.0 | 210 02.7 S22 15.8
4 | 143 13.2 | 219 29.2 S23 52.3 | 275 31.9 S17 07.6 | 273 00.2 S17 20.1 | 225 04.8 S22 15.8
M 5 | 158 15.7 | 234 28.3 S23 52.1 | 290 32.7 S17 08.0 | 288 02.1 S17 20.2 | 240 07.0 S22 15.8
O
N 6 | 173 18.2 | 249 27.4 S23 51.9 | 305 33.5 S17 08.5 | 303 04.1 S17 20.4 | 255 09.1 S22 15.7
D 7 | 188 20.6 | 264 26.4 S23 51.6 | 320 34.4 S17 08.9 | 318 06.0 S17 20.5 | 270 11.3 S22 15.7
A 8 | 203 23.1 | 279 25.5 S23 51.4 | 335 35.2 S17 09.4 | 333 08.0 S17 20.6 | 285 13.4 S22 15.7
Y 9 | 218 25.6 | 294 24.5 S23 51.2 | 350 36.0 S17 09.8 | 348 09.9 S17 20.7 | 300 15.6 S22 15.7
10 | 233 28.0 | 309 23.6 S23 51.0 | 5 36.8 S17 10.3 | 3 11.9 S17 20.9 | 315 17.7 S22 15.7
11 | 248 30.5 | 324 22.7 S23 50.8 | 20 37.6 S17 10.8 | 18 13.8 S17 21.0 | 330 19.9 S22 15.7
12 | 263 33.0 | 339 21.7 S23 50.6 | 35 38.4 S17 11.2 | 33 15.8 S17 21.1 | 345 22.0 S22 15.7
13 | 278 35.4 | 354 20.8 S23 50.3 | 50 39.3 S17 11.7 | 48 17.7 S17 21.3 | 0 24.2 S22 15.7
14 | 293 37.9 | 9 19.9 S23 50.1 | 65 40.1 S17 12.1 | 63 19.7 S17 21.4 | 15 26.3 S22 15.6
15 | 308 40.4 | 24 18.9 S23 49.9 | 80 40.9 S17 12.6 | 78 21.6 S17 21.5 | 30 28.5 S22 15.6
16 | 323 42.8 | 39 18.0 S23 49.7 | 95 41.7 S17 13.0 | 93 23.6 S17 21.6 | 45 30.6 S22 15.6
17 | 338 45.3 | 54 17.0 S23 49.4 | 110 42.5 S17 13.5 | 108 25.5 S17 21.8 | 60 32.8 S22 15.6
18 | 353 47.7 | 69 16.1 S23 49.2 | 125 43.3 S17 13.9 | 123 27.5 S17 21.9 | 75 35.0 S22 15.6
19 | 8 50.2 | 84 15.2 S23 49.0 | 140 44.1 S17 14.4 | 138 29.4 S17 22.0 | 90 37.1 S22 15.6
20 | 23 52.7 | 99 14.2 S23 48.7 | 155 45.0 S17 14.8 | 153 31.4 S17 22.1 | 105 39.3 S22 15.6
21 | 38 55.1 | 114 13.3 S23 48.5 | 170 45.8 S17 15.3 | 168 33.3 S17 22.3 | 120 41.4 S22 15.6
22 | 53 57.6 | 129 12.4 S23 48.3 | 185 46.6 S17 15.7 | 183 35.3 S17 22.4 | 135 43.6 S22 15.5
23 | 69 00.1 | 144 11.4 S23 48.0 | 200 47.4 S17 16.2 | 198 37.2 S17 22.5 | 150 45.7 S22 15.5
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15 0 | 84 02.5 | 159 10.5 S23 47.8 | 215 48.2 S17 16.6 | 213 39.2 S17 22.6 | 165 47.9 S22 15.5
1 | 99 05.0 | 174 09.6 S23 47.6 | 230 49.0 S17 17.1 | 228 41.1 S17 22.8 | 180 50.0 S22 15.5
2 | 114 07.5 | 189 08.6 S23 47.3 | 245 49.8 S17 17.5 | 243 43.1 S17 22.9 | 195 52.2 S22 15.5
3 | 129 09.9 | 204 07.7 S23 47.1 | 260 50.7 S17 18.0 | 258 45.0 S17 23.0 | 210 54.3 S22 15.5
4 | 144 12.4 | 219 06.8 S23 46.8 | 275 51.5 S17 18.4 | 273 47.0 S17 23.1 | 225 56.5 S22 15.5
T 5 | 159 14.9 | 234 05.8 S23 46.6 | 290 52.3 S17 18.9 | 288 48.9 S17 23.3 | 240 58.6 S22 15.4
U
E 6 | 174 17.3 | 249 04.9 S23 46.4 | 305 53.1 S17 19.4 | 303 50.9 S17 23.4 | 256 00.8 S22 15.4
S 7 | 189 19.8 | 264 03.9 S23 46.1 | 320 53.9 S17 19.8 | 318 52.8 S17 23.5 | 271 02.9 S22 15.4
D 8 | 204 22.2 | 279 03.0 S23 45.9 | 335 54.7 S17 20.3 | 333 54.8 S17 23.7 | 286 05.1 S22 15.4
A 9 | 219 24.7 | 294 02.1 S23 45.6 | 350 55.5 S17 20.7 | 348 56.7 S17 23.8 | 301 07.2 S22 15.4
Y 10 | 234 27.2 | 309 01.1 S23 45.4 | 5 56.3 S17 21.2 | 3 58.7 S17 23.9 | 316 09.4 S22 15.4
11 | 249 29.6 | 324 00.2 S23 45.1 | 20 57.1 S17 21.6 | 19 00.6 S17 24.0 | 331 11.5 S22 15.4
12 | 264 32.1 | 338 59.3 S23 44.9 | 35 58.0 S17 22.0 | 34 02.6 S17 24.2 | 346 13.7 S22 15.4
13 | 279 34.6 | 353 58.4 S23 44.6 | 50 58.8 S17 22.5 | 49 04.6 S17 24.3 | 1 15.8 S22 15.3
14 | 294 37.0 | 8 57.4 S23 44.4 | 65 59.6 S17 22.9 | 64 06.5 S17 24.4 | 16 18.0 S22 15.3
15 | 309 39.5 | 23 56.5 S23 44.1 | 81 00.4 S17 23.4 | 79 08.5 S17 24.5 | 31 20.1 S22 15.3
16 | 324 42.0 | 38 55.6 S23 43.9 | 96 01.2 S17 23.8 | 94 10.4 S17 24.7 | 46 22.3 S22 15.3
17 | 339 44.4 | 53 54.6 S23 43.6 | 111 02.0 S17 24.3 | 109 12.4 S17 24.8 | 61 24.4 S22 15.3
18 | 354 46.9 | 68 53.7 S23 43.3 | 126 02.8 S17 24.7 | 124 14.3 S17 24.9 | 76 26.6 S22 15.3
19 | 9 49.3 | 83 52.8 S23 43.1 | 141 03.6 S17 25.2 | 139 16.3 S17 25.0 | 91 28.7 S22 15.3
20 | 24 51.8 | 98 51.8 S23 42.8 | 156 04.4 S17 25.6 | 154 18.2 S17 25.2 | 106 30.9 S22 15.3
21 | 39 54.3 | 113 50.9 S23 42.6 | 171 05.3 S17 26.1 | 169 20.2 S17 25.3 | 121 33.0 S22 15.2
22 | 54 56.7 | 128 50.0 S23 42.3 | 186 06.1 S17 26.5 | 184 22.1 S17 25.4 | 136 35.2 S22 15.2
23 | 69 59.2 | 143 49.0 S23 42.0 | 201 06.9 S17 27.0 | 199 24.1 S17 25.5 | 151 37.3 S22 15.2
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| v -0.9 d 0.2 | v 0.8 d 0.5 | v 2.0 d 0.1 | v 2.2 d 0.0
2871 DEC. 13, 14, 15 (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 | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
13 0 | 181 51.7 S23 01.2 | 57 54.8 13.0 N 7 51.2 9.0 55.8 | Acamar 307 05.6 S36 51.3
1 | 196 51.4 S23 01.3 | 72 26.8 13.0 N 8 00.2 8.9 55.8 | Achernar 327 23.9 S52 50.7
2 | 211 51.1 S23 01.5 | 86 58.9 13.0 N 8 09.1 8.9 55.8 | Acrux 161 02.8 S67 54.1
3 | 226 50.8 S23 01.7 | 101 30.9 13.0 N 8 17.9 8.9 55.7 | Adhara 246 41.7 S30 11.5
4 | 241 50.5 S23 01.8 | 116 03.0 13.0 N 8 26.7 8.8 55.7 | Albireo 58 27.7 N29 49.3
S 5 | 256 50.3 S23 02.0 | 130 35.0 13.0 N 8 35.5 8.8 55.7 |
U | | | Aldebaran 278 25.9 N18 12.2
N 6 | 271 50.0 S23 02.2 | 145 07.1 13.0 N 8 44.2 8.7 55.7 | Alioth 156 53.2 N51 15.1
D 7 | 286 49.7 S23 02.3 | 159 39.1 13.0 N 8 52.9 8.7 55.7 | Alkaid 144 28.7 N44 59.5
A 8 | 301 49.4 S23 02.5 | 174 11.1 13.0 N 9 01.5 8.6 55.6 | Al Na-ir 14 13.9 S42 43.9
Y 9 | 316 49.1 S23 02.7 | 188 43.2 13.0 N 9 10.1 8.6 55.6 | Alnilam 264 48.7 S 0 41.8
10 | 331 48.9 S23 02.8 | 203 15.2 13.0 N 9 18.7 8.5 55.6 |
11 | 346 48.6 S23 03.0 | 217 47.3 13.0 N 9 27.1 8.5 55.6 | Alphard 207 19.5 S12 27.2
| | | Alphecca 117 01.9 N23 49.5
12 | 1 48.3 S23 03.2 | 232 19.3 13.0 N 9 35.6 8.4 55.5 | Alpheratz 346 32.3 N33 53.3
13 | 16 48.0 S23 03.3 | 246 51.3 13.0 N 9 44.0 8.4 55.5 | Altair 51 36.8 N11 12.4
14 | 31 47.8 S23 03.5 | 261 23.3 13.0 N 9 52.3 8.3 55.5 | Ankaa 342 37.7 S37 36.0
15 | 46 47.5 S23 03.6 | 275 55.4 13.0 N10 00.6 8.3 55.5 |
16 | 61 47.2 S23 03.8 | 290 27.4 13.0 N10 08.8 8.2 55.5 | Antares 99 12.6 S28 18.3
17 | 76 46.9 S23 04.0 | 304 59.4 13.0 N10 17.0 8.2 55.4 | Arcturus 136 04.6 N14 40.9
| | | Atria 84 36.9 S70 31.7
18 | 91 46.6 S23 04.1 | 319 31.4 13.0 N10 25.1 8.1 55.4 | Avior 229 48.9 S62 19.2
19 | 106 46.3 S23 04.3 | 334 03.4 13.0 N10 33.2 8.1 55.4 | Bellatrix 266 57.1 N 7 05.0
20 | 121 46.1 S23 04.4 | 348 35.4 13.0 N10 41.2 8.0 55.4 |
21 | 136 45.8 S23 04.6 | 3 07.4 13.0 N10 49.2 8.0 55.4 | Betelgeuse 259 20.1 N 7 31.0
22 | 151 45.5 S23 04.7 | 17 39.3 13.0 N10 57.1 7.9 55.3 | Canopus 259 04.4 S53 11.7
23 | 166 45.2 S23 04.9 | 32 11.3 13.0 N11 04.9 7.9 55.3 | Capella 264 38.7 N46 48.7
------+-------------------+----------------------------------| Castor 232 24.2 N29 55.7
14 0 | 181 44.9 S23 05.0 | 46 43.3 13.0 N11 12.7 7.8 55.3 | Deneb 42 08.2 N48 24.8
1 | 196 44.7 S23 05.2 | 61 15.2 13.0 N11 20.5 7.7 55.3 |
2 | 211 44.4 S23 05.3 | 75 47.2 12.9 N11 28.2 7.7 55.3 | Denebola 171 34.1 N 9 42.7
3 | 226 44.1 S23 05.5 | 90 19.1 12.9 N11 35.8 7.6 55.2 | Diphda 338 06.4 S13 13.8
4 | 241 43.8 S23 05.6 | 104 51.0 12.9 N11 43.4 7.6 55.2 | Dubhe 180 41.7 N57 02.4
M 5 | 256 43.5 S23 05.8 | 119 23.0 12.9 N11 50.9 7.5 55.2 | Elnath 264 34.6 N29 16.7
O | | | Eltanin 85 42.4 N51 24.7
N 6 | 271 43.3 S23 05.9 | 133 54.9 12.9 N11 58.3 7.5 55.2 |
D 7 | 286 43.0 S23 06.1 | 148 26.8 12.9 N12 05.7 7.4 55.2 | Enif 23 11.2 N13 53.1
A 8 | 301 42.7 S23 06.2 | 162 58.7 12.9 N12 13.1 7.3 55.1 | Fomalhaut 3 31.3 S25 00.5
Y 9 | 316 42.4 S23 06.4 | 177 30.5 12.9 N12 20.3 7.3 55.1 | Gacrux 159 57.8 S61 57.9
10 | 331 42.1 S23 06.5 | 192 02.4 12.9 N12 27.6 7.2 55.1 | Gienah 164 45.4 S22 21.6
11 | 346 41.8 S23 06.7 | 206 34.3 12.9 N12 34.7 7.2 55.1 | Hadar 133 28.6 S64 31.5
| | |
12 | 1 41.6 S23 06.8 | 221 06.1 12.8 N12 41.8 7.1 55.1 | Hamal 315 49.2 N27 32.6
13 | 16 41.3 S23 06.9 | 235 38.0 12.8 N12 48.8 7.0 55.0 | Kaus Austr. 69 27.1 S33 54.8
14 | 31 41.0 S23 07.1 | 250 09.8 12.8 N12 55.8 7.0 55.0 | Kochab 137 42.6 N70 36.0
15 | 46 40.7 S23 07.2 | 264 41.6 12.8 N13 02.7 6.9 55.0 | Markab 2 52.7 N19 53.5
16 | 61 40.4 S23 07.4 | 279 13.4 12.8 N13 09.6 6.8 55.0 | Menkar 302 57.1 N 7 27.6
17 | 76 40.1 S23 07.5 | 293 45.2 12.8 N13 16.3 6.8 55.0 |
| | | Menkent 135 23.7 S40 36.8
18 | 91 39.9 S23 07.6 | 308 17.0 12.8 N13 23.0 6.7 55.0 | Miaplacidus 219 15.3 S73 18.0
19 | 106 39.6 S23 07.8 | 322 48.8 12.8 N13 29.7 6.6 54.9 | Mirfak 293 13.1 N52 54.1
20 | 121 39.3 S23 07.9 | 337 20.5 12.8 N13 36.3 6.6 54.9 | Nunki 62 38.0 S25 09.7
21 | 136 39.0 S23 08.0 | 351 52.3 12.7 N13 42.8 6.5 54.9 | Peacock 36 24.8 S53 53.8
22 | 151 38.7 S23 08.2 | 6 24.0 12.7 N13 49.2 6.5 54.9 |
23 | 166 38.4 S23 08.3 | 20 55.7 12.7 N13 55.6 6.4 54.9 | Polaris 102 06.7 N93 09.7
------+-------------------+----------------------------------| Pollux 230 17.8 N25 52.4
15 0 | 181 38.2 S23 08.4 | 35 27.4 12.7 N14 01.9 6.3 54.9 | Procyon 233 42.5 N 2 57.0
1 | 196 37.9 S23 08.6 | 49 59.1 12.7 N14 08.2 6.2 54.8 | Rasalhague 86 05.1 N11 58.4
2 | 211 37.6 S23 08.7 | 64 30.8 12.7 N14 14.4 6.2 54.8 | Regulus 196 15.2 N 7 41.8
3 | 226 37.3 S23 08.8 | 79 02.5 12.7 N14 20.5 6.1 54.8 |
4 | 241 37.0 S23 09.0 | 93 34.1 12.7 N14 26.5 6.0 54.8 | Rigel 270 48.8 S 7 14.7
T 5 | 256 36.7 S23 09.1 | 108 05.8 12.6 N14 32.5 6.0 54.8 | Rigil Kent 125 08.1 S64 22.7
U | | | Sabik 89 50.6 S16 44.7
E 6 | 271 36.4 S23 09.2 | 122 37.4 12.6 N14 38.4 5.9 54.8 | Schedar 337 20.3 N61 17.8
S 7 | 286 36.2 S23 09.3 | 137 09.0 12.6 N14 44.3 5.8 54.7 | Shaula 81 44.5 S37 40.4
D 8 | 301 35.9 S23 09.5 | 151 40.6 12.6 N14 50.0 5.8 54.7 |
A 9 | 316 35.6 S23 09.6 | 166 12.2 12.6 N14 55.7 5.7 54.7 | Sirius 249 02.3 S17 57.1
Y 10 | 331 35.3 S23 09.7 | 180 43.8 12.6 N15 01.3 5.6 54.7 | Spica 147 08.3 S15 40.5
11 | 346 35.0 S23 09.8 | 195 15.4 12.6 N15 06.9 5.6 54.7 | Suhail 214 53.5 S46 57.7
| | | Vega 73 18.9 N39 37.7
12 | 1 34.7 S23 10.0 | 209 46.9 12.6 N15 12.4 5.5 54.7 | Zuben-ubi 125 30.2 S19 36.8
13 | 16 34.4 S23 10.1 | 224 18.5 12.5 N15 17.8 5.4 54.7 |
14 | 31 34.2 S23 10.2 | 238 50.0 12.5 N15 23.1 5.3 54.6 |
15 | 46 33.9 S23 10.3 | 253 21.5 12.5 N15 28.4 5.3 54.6 |
16 | 61 33.6 S23 10.5 | 267 53.1 12.5 N15 33.6 5.2 54.6 |
17 | 76 33.3 S23 10.6 | 282 24.5 12.5 N15 38.7 5.1 54.6 |
| | |
18 | 91 33.0 S23 10.7 | 296 56.0 12.5 N15 43.7 5.0 54.6 |
19 | 106 32.7 S23 10.8 | 311 27.5 12.5 N15 48.7 5.0 54.6 |
20 | 121 32.4 S23 10.9 | 325 59.0 12.5 N15 53.6 4.9 54.6 |
21 | 136 32.2 S23 11.0 | 340 30.4 12.4 N15 58.4 4.8 54.6 |
22 | 151 31.9 S23 11.2 | 355 01.8 12.4 N16 03.1 4.7 54.5 |
23 | 166 31.6 S23 11.3 | 9 33.3 12.4 N16 07.8 4.7 54.5 |
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|S.D. 16.2 d 0.1 | S.D. 15.1 15.0 14.9 |
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