
3104 DEC. 18, 19, 20 (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 | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
18 0 | 86 35.6 | 200 07.7 S20 29.0 | 239 31.6 S 9 39.8 | 330 30.0 N21 04.0 | 192 48.4 S20 45.6
1 | 101 38.1 | 215 06.8 S20 29.5 | 254 32.7 S 9 40.4 | 345 32.7 N21 04.1 | 207 50.6 S20 45.6
2 | 116 40.6 | 230 06.0 S20 30.1 | 269 33.8 S 9 40.9 | 0 35.5 N21 04.1 | 222 52.7 S20 45.7
3 | 131 43.0 | 245 05.2 S20 30.7 | 284 34.9 S 9 41.4 | 15 38.2 N21 04.2 | 237 54.9 S20 45.7
4 | 146 45.5 | 260 04.4 S20 31.3 | 299 35.9 S 9 41.9 | 30 40.9 N21 04.2 | 252 57.0 S20 45.7
S 5 | 161 48.0 | 275 03.5 S20 31.8 | 314 37.0 S 9 42.4 | 45 43.7 N21 04.3 | 267 59.2 S20 45.8
U
N 6 | 176 50.4 | 290 02.7 S20 32.4 | 329 38.1 S 9 42.9 | 60 46.4 N21 04.3 | 283 01.3 S20 45.8
D 7 | 191 52.9 | 305 01.9 S20 33.0 | 344 39.1 S 9 43.5 | 75 49.2 N21 04.4 | 298 03.5 S20 45.8
A 8 | 206 55.3 | 320 01.1 S20 33.6 | 359 40.2 S 9 44.0 | 90 51.9 N21 04.4 | 313 05.6 S20 45.9
Y 9 | 221 57.8 | 335 00.3 S20 34.1 | 14 41.3 S 9 44.5 | 105 54.7 N21 04.5 | 328 07.8 S20 45.9
10 | 237 00.3 | 349 59.4 S20 34.7 | 29 42.3 S 9 45.0 | 120 57.4 N21 04.5 | 343 09.9 S20 45.9
11 | 252 02.7 | 4 58.6 S20 35.3 | 44 43.4 S 9 45.5 | 136 00.1 N21 04.6 | 358 12.1 S20 46.0
12 | 267 05.2 | 19 57.8 S20 35.8 | 59 44.5 S 9 46.1 | 151 02.9 N21 04.6 | 13 14.2 S20 46.0
13 | 282 07.7 | 34 56.9 S20 36.4 | 74 45.5 S 9 46.6 | 166 05.6 N21 04.7 | 28 16.4 S20 46.0
14 | 297 10.1 | 49 56.1 S20 36.9 | 89 46.6 S 9 47.1 | 181 08.4 N21 04.7 | 43 18.5 S20 46.1
15 | 312 12.6 | 64 55.3 S20 37.5 | 104 47.7 S 9 47.6 | 196 11.1 N21 04.8 | 58 20.7 S20 46.1
16 | 327 15.1 | 79 54.5 S20 38.1 | 119 48.7 S 9 48.1 | 211 13.9 N21 04.8 | 73 22.8 S20 46.1
17 | 342 17.5 | 94 53.6 S20 38.6 | 134 49.8 S 9 48.6 | 226 16.6 N21 04.9 | 88 25.0 S20 46.2
18 | 357 20.0 | 109 52.8 S20 39.2 | 149 50.9 S 9 49.2 | 241 19.4 N21 04.9 | 103 27.1 S20 46.2
19 | 12 22.5 | 124 52.0 S20 39.7 | 164 51.9 S 9 49.7 | 256 22.1 N21 05.0 | 118 29.3 S20 46.2
20 | 27 24.9 | 139 51.1 S20 40.3 | 179 53.0 S 9 50.2 | 271 24.8 N21 05.0 | 133 31.4 S20 46.3
21 | 42 27.4 | 154 50.3 S20 40.9 | 194 54.1 S 9 50.7 | 286 27.6 N21 05.1 | 148 33.6 S20 46.3
22 | 57 29.8 | 169 49.5 S20 41.4 | 209 55.1 S 9 51.2 | 301 30.3 N21 05.1 | 163 35.7 S20 46.3
23 | 72 32.3 | 184 48.7 S20 42.0 | 224 56.2 S 9 51.7 | 316 33.1 N21 05.2 | 178 37.9 S20 46.4
------+----------+-------------------+-------------------+-------------------+--------------------
19 0 | 87 34.8 | 199 47.8 S20 42.5 | 239 57.3 S 9 52.3 | 331 35.8 N21 05.2 | 193 40.0 S20 46.4
1 | 102 37.2 | 214 47.0 S20 43.1 | 254 58.4 S 9 52.8 | 346 38.6 N21 05.3 | 208 42.2 S20 46.4
2 | 117 39.7 | 229 46.2 S20 43.6 | 269 59.4 S 9 53.3 | 1 41.3 N21 05.3 | 223 44.3 S20 46.5
3 | 132 42.2 | 244 45.3 S20 44.2 | 285 00.5 S 9 53.8 | 16 44.1 N21 05.4 | 238 46.5 S20 46.5
4 | 147 44.6 | 259 44.5 S20 44.7 | 300 01.6 S 9 54.3 | 31 46.8 N21 05.4 | 253 48.6 S20 46.5
M 5 | 162 47.1 | 274 43.7 S20 45.3 | 315 02.6 S 9 54.8 | 46 49.6 N21 05.5 | 268 50.8 S20 46.6
O
N 6 | 177 49.6 | 289 42.8 S20 45.8 | 330 03.7 S 9 55.3 | 61 52.3 N21 05.5 | 283 52.9 S20 46.6
D 7 | 192 52.0 | 304 42.0 S20 46.4 | 345 04.8 S 9 55.9 | 76 55.1 N21 05.6 | 298 55.1 S20 46.6
A 8 | 207 54.5 | 319 41.2 S20 46.9 | 0 05.8 S 9 56.4 | 91 57.8 N21 05.6 | 313 57.2 S20 46.7
Y 9 | 222 57.0 | 334 40.3 S20 47.4 | 15 06.9 S 9 56.9 | 107 00.6 N21 05.7 | 328 59.4 S20 46.7
10 | 237 59.4 | 349 39.5 S20 48.0 | 30 08.0 S 9 57.4 | 122 03.3 N21 05.8 | 344 01.5 S20 46.7
11 | 253 01.9 | 4 38.6 S20 48.5 | 45 09.0 S 9 57.9 | 137 06.1 N21 05.8 | 359 03.7 S20 46.8
12 | 268 04.3 | 19 37.8 S20 49.1 | 60 10.1 S 9 58.4 | 152 08.8 N21 05.9 | 14 05.8 S20 46.8
13 | 283 06.8 | 34 37.0 S20 49.6 | 75 11.2 S 9 58.9 | 167 11.6 N21 05.9 | 29 08.0 S20 46.8
14 | 298 09.3 | 49 36.1 S20 50.2 | 90 12.2 S 9 59.5 | 182 14.3 N21 06.0 | 44 10.1 S20 46.9
15 | 313 11.7 | 64 35.3 S20 50.7 | 105 13.3 S 9 60.0 | 197 17.1 N21 06.0 | 59 12.3 S20 46.9
16 | 328 14.2 | 79 34.5 S20 51.2 | 120 14.4 S10 00.5 | 212 19.8 N21 06.1 | 74 14.4 S20 46.9
17 | 343 16.7 | 94 33.6 S20 51.8 | 135 15.4 S10 01.0 | 227 22.6 N21 06.1 | 89 16.6 S20 47.0
18 | 358 19.1 | 109 32.8 S20 52.3 | 150 16.5 S10 01.5 | 242 25.3 N21 06.2 | 104 18.7 S20 47.0
19 | 13 21.6 | 124 31.9 S20 52.8 | 165 17.6 S10 02.0 | 257 28.1 N21 06.2 | 119 20.9 S20 47.0
20 | 28 24.1 | 139 31.1 S20 53.4 | 180 18.6 S10 02.5 | 272 30.8 N21 06.3 | 134 23.0 S20 47.1
21 | 43 26.5 | 154 30.3 S20 53.9 | 195 19.7 S10 03.1 | 287 33.6 N21 06.3 | 149 25.2 S20 47.1
22 | 58 29.0 | 169 29.4 S20 54.4 | 210 20.8 S10 03.6 | 302 36.3 N21 06.4 | 164 27.3 S20 47.1
23 | 73 31.4 | 184 28.6 S20 54.9 | 225 21.9 S10 04.1 | 317 39.1 N21 06.4 | 179 29.5 S20 47.2
------+----------+-------------------+-------------------+-------------------+--------------------
20 0 | 88 33.9 | 199 27.7 S20 55.5 | 240 22.9 S10 04.6 | 332 41.8 N21 06.5 | 194 31.6 S20 47.2
1 | 103 36.4 | 214 26.9 S20 56.0 | 255 24.0 S10 05.1 | 347 44.6 N21 06.5 | 209 33.8 S20 47.2
2 | 118 38.8 | 229 26.1 S20 56.5 | 270 25.1 S10 05.6 | 2 47.3 N21 06.6 | 224 35.9 S20 47.3
3 | 133 41.3 | 244 25.2 S20 57.1 | 285 26.1 S10 06.1 | 17 50.1 N21 06.6 | 239 38.1 S20 47.3
4 | 148 43.8 | 259 24.4 S20 57.6 | 300 27.2 S10 06.6 | 32 52.8 N21 06.7 | 254 40.2 S20 47.3
T 5 | 163 46.2 | 274 23.5 S20 58.1 | 315 28.3 S10 07.2 | 47 55.6 N21 06.7 | 269 42.4 S20 47.3
U
E 6 | 178 48.7 | 289 22.7 S20 58.6 | 330 29.3 S10 07.7 | 62 58.3 N21 06.8 | 284 44.6 S20 47.4
S 7 | 193 51.2 | 304 21.8 S20 59.1 | 345 30.4 S10 08.2 | 78 01.1 N21 06.9 | 299 46.7 S20 47.4
D 8 | 208 53.6 | 319 21.0 S20 59.7 | 0 31.5 S10 08.7 | 93 03.9 N21 06.9 | 314 48.9 S20 47.4
A 9 | 223 56.1 | 334 20.1 S21 00.2 | 15 32.5 S10 09.2 | 108 06.6 N21 07.0 | 329 51.0 S20 47.5
Y 10 | 238 58.6 | 349 19.3 S21 00.7 | 30 33.6 S10 09.7 | 123 09.4 N21 07.0 | 344 53.2 S20 47.5
11 | 254 01.0 | 4 18.5 S21 01.2 | 45 34.7 S10 10.2 | 138 12.1 N21 07.1 | 359 55.3 S20 47.5
12 | 269 03.5 | 19 17.6 S21 01.7 | 60 35.7 S10 10.7 | 153 14.9 N21 07.1 | 14 57.5 S20 47.6
13 | 284 05.9 | 34 16.8 S21 02.2 | 75 36.8 S10 11.2 | 168 17.6 N21 07.2 | 29 59.6 S20 47.6
14 | 299 08.4 | 49 15.9 S21 02.8 | 90 37.9 S10 11.8 | 183 20.4 N21 07.2 | 45 01.8 S20 47.6
15 | 314 10.9 | 64 15.1 S21 03.3 | 105 38.9 S10 12.3 | 198 23.1 N21 07.3 | 60 03.9 S20 47.7
16 | 329 13.3 | 79 14.2 S21 03.8 | 120 40.0 S10 12.8 | 213 25.9 N21 07.3 | 75 06.1 S20 47.7
17 | 344 15.8 | 94 13.4 S21 04.3 | 135 41.1 S10 13.3 | 228 28.7 N21 07.4 | 90 08.2 S20 47.7
18 | 359 18.3 | 109 12.5 S21 04.8 | 150 42.2 S10 13.8 | 243 31.4 N21 07.4 | 105 10.4 S20 47.8
19 | 14 20.7 | 124 11.7 S21 05.3 | 165 43.2 S10 14.3 | 258 34.2 N21 07.5 | 120 12.5 S20 47.8
20 | 29 23.2 | 139 10.8 S21 05.8 | 180 44.3 S10 14.8 | 273 36.9 N21 07.5 | 135 14.7 S20 47.8
21 | 44 25.7 | 154 10.0 S21 06.3 | 195 45.4 S10 15.3 | 288 39.7 N21 07.6 | 150 16.8 S20 47.9
22 | 59 28.1 | 169 09.1 S21 06.8 | 210 46.4 S10 15.8 | 303 42.4 N21 07.6 | 165 19.0 S20 47.9
23 | 74 30.6 | 184 08.3 S21 07.3 | 225 47.5 S10 16.3 | 318 45.2 N21 07.7 | 180 21.1 S20 47.9
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| v -0.8 d 0.5 | v 1.1 d 0.5 | v 2.7 d 0.1 | v 2.2 d 0.0
3104 DEC. 18, 19, 20 (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 | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
18 0 | 181 25.6 S23 13.5 | 82 59.3 12.6 N 2 29.9 16.5 59.0 | Acamar 304 50.3 S35 56.0
1 | 196 25.4 S23 13.6 | 97 30.8 12.6 N 2 46.5 16.5 59.0 | Achernar 325 11.1 S51 40.4
2 | 211 25.1 S23 13.6 | 112 02.4 12.5 N 3 03.0 16.5 59.0 | Acrux 157 44.9 S69 10.8
3 | 226 24.8 S23 13.7 | 126 33.9 12.5 N 3 19.6 16.5 59.0 | Adhara 244 21.8 S30 30.7
4 | 241 24.5 S23 13.8 | 141 05.3 12.4 N 3 36.1 16.5 59.1 | Albireo 56 04.3 N30 18.7
S 5 | 256 24.2 S23 13.9 | 155 36.7 12.4 N 3 52.7 16.5 59.1 |
U | | | Aldebaran 275 03.0 N18 39.5
N 6 | 271 23.9 S23 14.0 | 170 08.1 12.3 N 4 09.2 16.5 59.1 | Alioth 154 17.2 N49 59.9
D 7 | 286 23.6 S23 14.0 | 184 39.4 12.3 N 4 25.7 16.5 59.1 | Alkaid 142 08.3 N43 50.4
A 8 | 301 23.3 S23 14.1 | 199 10.6 12.2 N 4 42.3 16.5 59.2 | Al Na-ir 10 32.7 S41 36.5
Y 9 | 316 23.1 S23 14.2 | 213 41.8 12.2 N 4 58.8 16.5 59.2 | Alnilam 261 49.0 S 0 33.4
10 | 331 22.8 S23 14.3 | 228 12.9 12.1 N 5 15.3 16.5 59.2 |
11 | 346 22.5 S23 14.3 | 242 44.0 12.1 N 5 31.8 16.5 59.2 | Alphard 204 25.5 S13 27.6
| | | Alphecca 114 31.3 N23 03.0
12 | 1 22.2 S23 14.4 | 257 15.0 12.0 N 5 48.3 16.5 59.3 | Alpheratz 343 29.1 N35 09.8
13 | 16 21.9 S23 14.5 | 271 46.0 12.0 N 6 04.7 16.5 59.3 | Altair 48 44.1 N11 49.4
14 | 31 21.6 S23 14.6 | 286 16.9 11.9 N 6 21.2 16.5 59.3 | Ankaa 339 43.0 S36 20.8
15 | 46 21.3 S23 14.6 | 300 47.7 11.8 N 6 37.6 16.4 59.3 |
16 | 61 21.0 S23 14.7 | 315 18.5 11.8 N 6 54.1 16.4 59.4 | Antares 95 36.0 S28 48.5
17 | 76 20.7 S23 14.8 | 329 49.2 11.7 N 7 10.5 16.4 59.4 | Arcturus 133 22.7 N13 28.8
| | | Atria 78 24.3 S70 56.0
18 | 91 20.5 S23 14.9 | 344 19.9 11.6 N 7 26.8 16.4 59.4 | Avior 228 34.5 S63 03.9
19 | 106 20.2 S23 14.9 | 358 50.4 11.6 N 7 43.2 16.4 59.4 | Bellatrix 263 47.4 N 7 17.1
20 | 121 19.9 S23 15.0 | 13 20.9 11.5 N 7 59.5 16.3 59.5 |
21 | 136 19.6 S23 15.1 | 27 51.4 11.4 N 8 15.8 16.3 59.5 | Betelgeuse 256 08.7 N 7 33.0
22 | 151 19.3 S23 15.1 | 42 21.7 11.4 N 8 32.1 16.3 59.5 | Canopus 257 43.7 S53 19.3
23 | 166 19.0 S23 15.2 | 56 52.0 11.3 N 8 48.3 16.2 59.5 | Capella 260 18.6 N47 02.0
------+-------------------+----------------------------------| Castor 228 39.6 N29 24.8
19 0 | 181 18.7 S23 15.3 | 71 22.2 11.2 N 9 04.6 16.2 59.6 | Deneb 40 06.5 N49 14.5
1 | 196 18.4 S23 15.3 | 85 52.4 11.1 N 9 20.7 16.2 59.6 |
2 | 211 18.1 S23 15.4 | 100 22.4 11.1 N 9 36.9 16.1 59.6 | Denebola 168 33.7 N 8 25.2
3 | 226 17.9 S23 15.5 | 114 52.4 11.0 N 9 53.0 16.1 59.6 | Diphda 335 08.8 S11 57.8
4 | 241 17.6 S23 15.5 | 129 22.3 10.9 N10 09.1 16.1 59.7 | Dubhe 177 05.6 N55 47.3
M 5 | 256 17.3 S23 15.6 | 143 52.1 10.8 N10 25.1 16.0 59.7 | Elnath 260 51.6 N29 27.8
O | | | Eltanin 84 18.2 N51 23.1
N 6 | 271 17.0 S23 15.6 | 158 21.8 10.7 N10 41.1 16.0 59.7 |
D 7 | 286 16.7 S23 15.7 | 172 51.5 10.6 N10 57.0 15.9 59.7 | Enif 20 17.4 N14 56.9
A 8 | 301 16.4 S23 15.8 | 187 21.0 10.6 N11 12.9 15.9 59.8 | Fomalhaut 0 16.5 S23 46.9
Y 9 | 316 16.1 S23 15.8 | 201 50.5 10.5 N11 28.8 15.9 59.8 | Gacrux 156 40.8 S63 15.4
10 | 331 15.8 S23 15.9 | 216 19.9 10.4 N11 44.6 15.8 59.8 | Gienah 161 43.2 S23 38.5
11 | 346 15.5 S23 15.9 | 230 49.2 10.3 N12 00.3 15.8 59.8 | Hadar 129 18.5 S65 38.0
| | |
12 | 1 15.3 S23 16.0 | 245 18.4 10.2 N12 16.0 15.7 59.8 | Hamal 312 29.6 N28 37.8
13 | 16 15.0 S23 16.0 | 259 47.5 10.1 N12 31.7 15.6 59.9 | Kaus Austr. 65 33.4 S33 47.7
14 | 31 14.7 S23 16.1 | 274 16.5 10.0 N12 47.2 15.6 59.9 | Kochab 137 45.5 N69 39.1
15 | 46 14.4 S23 16.1 | 288 45.4 9.9 N13 02.8 15.5 59.9 | Markab 359 56.3 N21 08.2
16 | 61 14.1 S23 16.2 | 303 14.3 9.8 N13 18.2 15.5 59.9 | Menkar 299 52.0 N 8 21.6
17 | 76 13.8 S23 16.3 | 317 43.0 9.7 N13 33.6 15.4 60.0 |
| | | Menkent 131 55.3 S41 44.7
18 | 91 13.5 S23 16.3 | 332 11.6 9.6 N13 49.0 15.3 60.0 | Miaplacidus 218 35.0 S74 15.0
19 | 106 13.2 S23 16.4 | 346 40.2 9.5 N14 04.3 15.3 60.0 | Mirfak 289 00.8 N53 42.9
20 | 121 12.9 S23 16.4 | 1 08.6 9.4 N14 19.5 15.2 60.0 | Nunki 58 59.6 S24 51.9
21 | 136 12.6 S23 16.5 | 15 36.9 9.3 N14 34.6 15.1 60.0 | Peacock 31 48.2 S53 08.7
22 | 151 12.4 S23 16.5 | 30 05.1 9.2 N14 49.7 15.1 60.1 |
23 | 166 12.1 S23 16.5 | 44 33.2 9.1 N15 04.7 15.0 60.1 | Polaris 43 51.5 N94 12.4
------+-------------------+----------------------------------| Pollux 226 42.3 N25 18.4
20 0 | 181 11.8 S23 16.6 | 59 01.3 9.0 N15 19.6 14.9 60.1 | Procyon 230 37.5 N 2 21.0
1 | 196 11.5 S23 16.6 | 73 29.2 8.9 N15 34.4 14.8 60.1 | Rasalhague 83 20.4 N11 48.7
2 | 211 11.2 S23 16.7 | 87 57.0 8.8 N15 49.2 14.8 60.1 | Regulus 193 07.2 N 6 33.8
3 | 226 10.9 S23 16.7 | 102 24.7 8.7 N16 03.8 14.7 60.1 |
4 | 241 10.6 S23 16.8 | 116 52.2 8.6 N16 18.4 14.6 60.2 | Rigel 267 58.4 S 6 59.1
T 5 | 256 10.3 S23 16.8 | 131 19.7 8.5 N16 32.9 14.5 60.2 | Rigil Kent 121 07.6 S65 19.4
U | | | Sabik 86 27.9 S17 01.4
E 6 | 271 10.0 S23 16.9 | 145 47.1 8.4 N16 47.3 14.4 60.2 | Schedar 333 58.8 N62 33.7
S 7 | 286 09.7 S23 16.9 | 160 14.3 8.3 N17 01.7 14.3 60.2 | Shaula 77 45.2 S37 49.8
D 8 | 301 09.4 S23 16.9 | 174 41.5 8.1 N17 15.9 14.2 60.2 |
A 9 | 316 09.2 S23 17.0 | 189 08.5 8.0 N17 30.0 14.1 60.3 | Sirius 246 26.0 S18 16.5
Y 10 | 331 08.9 S23 17.0 | 203 35.4 7.9 N17 44.1 14.0 60.3 | Spica 144 01.7 S16 52.7
11 | 346 08.6 S23 17.0 | 218 02.2 7.8 N17 58.0 13.9 60.3 | Suhail 212 42.3 S47 53.9
| | | Vega 71 17.9 N39 50.7
12 | 1 08.3 S23 17.1 | 232 28.9 7.7 N18 11.8 13.8 60.3 | Zuben-ubi 122 20.1 S20 34.1
13 | 16 08.0 S23 17.1 | 246 55.4 7.6 N18 25.6 13.7 60.3 |
14 | 31 07.7 S23 17.2 | 261 21.9 7.5 N18 39.2 13.6 60.3 |
15 | 46 07.4 S23 17.2 | 275 48.2 7.3 N18 52.7 13.5 60.3 |
16 | 61 07.1 S23 17.2 | 290 14.4 7.2 N19 06.2 13.4 60.4 |
17 | 76 06.8 S23 17.3 | 304 40.5 7.1 N19 19.5 13.3 60.4 |
| | |
18 | 91 06.5 S23 17.3 | 319 06.5 7.0 N19 32.6 13.2 60.4 |
19 | 106 06.2 S23 17.3 | 333 32.4 6.9 N19 45.7 13.1 60.4 |
20 | 121 05.9 S23 17.3 | 347 58.1 6.7 N19 58.7 13.0 60.4 |
21 | 136 05.7 S23 17.4 | 2 23.8 6.6 N20 11.5 12.8 60.4 |
22 | 151 05.4 S23 17.4 | 16 49.3 6.5 N20 24.2 12.7 60.4 |
23 | 166 05.1 S23 17.4 | 31 14.7 6.4 N20 36.8 12.6 60.4 |
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|S.D. 16.2 d 0.1 | S.D. 16.1 16.3 16.4 |
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