
2461 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 | 87 16.3 | 225 34.0 S13 31.3 | 216 51.7 S17 57.9 | 78 07.1 N 2 27.5 | 147 53.6 S20 44.4
1 | 102 18.7 | 240 33.6 S13 32.1 | 231 52.5 S17 58.3 | 93 09.5 N 2 27.5 | 162 55.8 S20 44.3
2 | 117 21.2 | 255 33.2 S13 33.0 | 246 53.3 S17 58.8 | 108 11.9 N 2 27.6 | 177 58.0 S20 44.3
3 | 132 23.7 | 270 32.8 S13 33.8 | 261 54.0 S17 59.2 | 123 14.2 N 2 27.7 | 193 00.1 S20 44.2
4 | 147 26.1 | 285 32.4 S13 34.7 | 276 54.8 S17 59.7 | 138 16.6 N 2 27.7 | 208 02.3 S20 44.2
S 5 | 162 28.6 | 300 32.0 S13 35.6 | 291 55.6 S18 00.1 | 153 18.9 N 2 27.8 | 223 04.5 S20 44.1
U
N 6 | 177 31.1 | 315 31.6 S13 36.4 | 306 56.4 S18 00.5 | 168 21.3 N 2 27.8 | 238 06.7 S20 44.1
D 7 | 192 33.5 | 330 31.2 S13 37.3 | 321 57.1 S18 01.0 | 183 23.6 N 2 27.9 | 253 08.9 S20 44.0
A 8 | 207 36.0 | 345 30.8 S13 38.1 | 336 57.9 S18 01.4 | 198 26.0 N 2 28.0 | 268 11.1 S20 44.0
Y 9 | 222 38.5 | 0 30.4 S13 39.0 | 351 58.7 S18 01.9 | 213 28.3 N 2 28.0 | 283 13.2 S20 43.9
10 | 237 40.9 | 15 30.0 S13 39.8 | 6 59.5 S18 02.3 | 228 30.7 N 2 28.1 | 298 15.4 S20 43.9
11 | 252 43.4 | 30 29.6 S13 40.7 | 22 00.2 S18 02.7 | 243 33.0 N 2 28.1 | 313 17.6 S20 43.8
12 | 267 45.8 | 45 29.1 S13 41.5 | 37 01.0 S18 03.2 | 258 35.4 N 2 28.2 | 328 19.8 S20 43.8
13 | 282 48.3 | 60 28.7 S13 42.4 | 52 01.8 S18 03.6 | 273 37.7 N 2 28.3 | 343 22.0 S20 43.7
14 | 297 50.8 | 75 28.3 S13 43.2 | 67 02.6 S18 04.1 | 288 40.1 N 2 28.3 | 358 24.1 S20 43.7
15 | 312 53.2 | 90 27.9 S13 44.1 | 82 03.3 S18 04.5 | 303 42.4 N 2 28.4 | 13 26.3 S20 43.6
16 | 327 55.7 | 105 27.5 S13 44.9 | 97 04.1 S18 04.9 | 318 44.8 N 2 28.4 | 28 28.5 S20 43.6
17 | 342 58.2 | 120 27.1 S13 45.8 | 112 04.9 S18 05.4 | 333 47.1 N 2 28.5 | 43 30.7 S20 43.5
18 | 358 00.6 | 135 26.7 S13 46.6 | 127 05.7 S18 05.8 | 348 49.5 N 2 28.6 | 58 32.9 S20 43.5
19 | 13 03.1 | 150 26.3 S13 47.5 | 142 06.4 S18 06.2 | 3 51.8 N 2 28.6 | 73 35.1 S20 43.4
20 | 28 05.6 | 165 25.9 S13 48.3 | 157 07.2 S18 06.7 | 18 54.2 N 2 28.7 | 88 37.2 S20 43.4
21 | 43 08.0 | 180 25.5 S13 49.2 | 172 08.0 S18 07.1 | 33 56.5 N 2 28.8 | 103 39.4 S20 43.3
22 | 58 10.5 | 195 25.0 S13 50.0 | 187 08.8 S18 07.6 | 48 58.9 N 2 28.8 | 118 41.6 S20 43.3
23 | 73 13.0 | 210 24.6 S13 50.9 | 202 09.5 S18 08.0 | 64 01.2 N 2 28.9 | 133 43.8 S20 43.2
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19 0 | 88 15.4 | 225 24.2 S13 51.7 | 217 10.3 S18 08.4 | 79 03.6 N 2 28.9 | 148 46.0 S20 43.2
1 | 103 17.9 | 240 23.8 S13 52.5 | 232 11.1 S18 08.9 | 94 05.9 N 2 29.0 | 163 48.1 S20 43.1
2 | 118 20.3 | 255 23.4 S13 53.4 | 247 11.9 S18 09.3 | 109 08.3 N 2 29.1 | 178 50.3 S20 43.1
3 | 133 22.8 | 270 23.0 S13 54.2 | 262 12.6 S18 09.7 | 124 10.6 N 2 29.1 | 193 52.5 S20 43.0
4 | 148 25.3 | 285 22.6 S13 55.1 | 277 13.4 S18 10.2 | 139 13.0 N 2 29.2 | 208 54.7 S20 43.0
M 5 | 163 27.7 | 300 22.1 S13 55.9 | 292 14.2 S18 10.6 | 154 15.3 N 2 29.3 | 223 56.9 S20 42.9
O
N 6 | 178 30.2 | 315 21.7 S13 56.8 | 307 14.9 S18 11.0 | 169 17.7 N 2 29.3 | 238 59.0 S20 42.9
D 7 | 193 32.7 | 330 21.3 S13 57.6 | 322 15.7 S18 11.5 | 184 20.0 N 2 29.4 | 254 01.2 S20 42.8
A 8 | 208 35.1 | 345 20.9 S13 58.5 | 337 16.5 S18 11.9 | 199 22.3 N 2 29.4 | 269 03.4 S20 42.8
Y 9 | 223 37.6 | 0 20.5 S13 59.3 | 352 17.3 S18 12.3 | 214 24.7 N 2 29.5 | 284 05.6 S20 42.7
10 | 238 40.1 | 15 20.0 S14 00.1 | 7 18.0 S18 12.8 | 229 27.0 N 2 29.6 | 299 07.8 S20 42.7
11 | 253 42.5 | 30 19.6 S14 01.0 | 22 18.8 S18 13.2 | 244 29.4 N 2 29.6 | 314 09.9 S20 42.6
12 | 268 45.0 | 45 19.2 S14 01.8 | 37 19.6 S18 13.7 | 259 31.7 N 2 29.7 | 329 12.1 S20 42.6
13 | 283 47.5 | 60 18.8 S14 02.7 | 52 20.3 S18 14.1 | 274 34.1 N 2 29.8 | 344 14.3 S20 42.5
14 | 298 49.9 | 75 18.4 S14 03.5 | 67 21.1 S18 14.5 | 289 36.4 N 2 29.8 | 359 16.5 S20 42.5
15 | 313 52.4 | 90 17.9 S14 04.3 | 82 21.9 S18 15.0 | 304 38.8 N 2 29.9 | 14 18.7 S20 42.4
16 | 328 54.8 | 105 17.5 S14 05.2 | 97 22.7 S18 15.4 | 319 41.1 N 2 30.0 | 29 20.8 S20 42.4
17 | 343 57.3 | 120 17.1 S14 06.0 | 112 23.4 S18 15.8 | 334 43.4 N 2 30.0 | 44 23.0 S20 42.3
18 | 358 59.8 | 135 16.7 S14 06.9 | 127 24.2 S18 16.2 | 349 45.8 N 2 30.1 | 59 25.2 S20 42.3
19 | 14 02.2 | 150 16.2 S14 07.7 | 142 25.0 S18 16.7 | 4 48.1 N 2 30.2 | 74 27.4 S20 42.2
20 | 29 04.7 | 165 15.8 S14 08.5 | 157 25.7 S18 17.1 | 19 50.5 N 2 30.2 | 89 29.6 S20 42.2
21 | 44 07.2 | 180 15.4 S14 09.4 | 172 26.5 S18 17.5 | 34 52.8 N 2 30.3 | 104 31.7 S20 42.1
22 | 59 09.6 | 195 15.0 S14 10.2 | 187 27.3 S18 18.0 | 49 55.1 N 2 30.3 | 119 33.9 S20 42.1
23 | 74 12.1 | 210 14.5 S14 11.1 | 202 28.0 S18 18.4 | 64 57.5 N 2 30.4 | 134 36.1 S20 42.0
------+----------+-------------------+-------------------+-------------------+--------------------
20 0 | 89 14.6 | 225 14.1 S14 11.9 | 217 28.8 S18 18.8 | 79 59.8 N 2 30.5 | 149 38.3 S20 42.0
1 | 104 17.0 | 240 13.7 S14 12.7 | 232 29.6 S18 19.3 | 95 02.2 N 2 30.5 | 164 40.5 S20 41.9
2 | 119 19.5 | 255 13.3 S14 13.6 | 247 30.3 S18 19.7 | 110 04.5 N 2 30.6 | 179 42.6 S20 41.9
3 | 134 22.0 | 270 12.8 S14 14.4 | 262 31.1 S18 20.1 | 125 06.8 N 2 30.7 | 194 44.8 S20 41.8
4 | 149 24.4 | 285 12.4 S14 15.2 | 277 31.9 S18 20.6 | 140 09.2 N 2 30.7 | 209 47.0 S20 41.8
T 5 | 164 26.9 | 300 12.0 S14 16.1 | 292 32.7 S18 21.0 | 155 11.5 N 2 30.8 | 224 49.2 S20 41.7
U
E 6 | 179 29.3 | 315 11.5 S14 16.9 | 307 33.4 S18 21.4 | 170 13.9 N 2 30.9 | 239 51.4 S20 41.7
S 7 | 194 31.8 | 330 11.1 S14 17.7 | 322 34.2 S18 21.8 | 185 16.2 N 2 30.9 | 254 53.5 S20 41.6
D 8 | 209 34.3 | 345 10.7 S14 18.6 | 337 35.0 S18 22.3 | 200 18.5 N 2 31.0 | 269 55.7 S20 41.6
A 9 | 224 36.7 | 0 10.2 S14 19.4 | 352 35.7 S18 22.7 | 215 20.9 N 2 31.1 | 284 57.9 S20 41.5
Y 10 | 239 39.2 | 15 09.8 S14 20.2 | 7 36.5 S18 23.1 | 230 23.2 N 2 31.1 | 300 00.1 S20 41.5
11 | 254 41.7 | 30 09.4 S14 21.1 | 22 37.3 S18 23.6 | 245 25.5 N 2 31.2 | 315 02.3 S20 41.4
12 | 269 44.1 | 45 08.9 S14 21.9 | 37 38.0 S18 24.0 | 260 27.9 N 2 31.3 | 330 04.4 S20 41.4
13 | 284 46.6 | 60 08.5 S14 22.7 | 52 38.8 S18 24.4 | 275 30.2 N 2 31.3 | 345 06.6 S20 41.3
14 | 299 49.1 | 75 08.1 S14 23.6 | 67 39.6 S18 24.8 | 290 32.6 N 2 31.4 | 0 08.8 S20 41.3
15 | 314 51.5 | 90 07.6 S14 24.4 | 82 40.3 S18 25.3 | 305 34.9 N 2 31.5 | 15 11.0 S20 41.2
16 | 329 54.0 | 105 07.2 S14 25.2 | 97 41.1 S18 25.7 | 320 37.2 N 2 31.5 | 30 13.2 S20 41.2
17 | 344 56.4 | 120 06.8 S14 26.1 | 112 41.9 S18 26.1 | 335 39.6 N 2 31.6 | 45 15.3 S20 41.1
18 | 359 58.9 | 135 06.3 S14 26.9 | 127 42.6 S18 26.6 | 350 41.9 N 2 31.7 | 60 17.5 S20 41.1
19 | 15 01.4 | 150 05.9 S14 27.7 | 142 43.4 S18 27.0 | 5 44.2 N 2 31.7 | 75 19.7 S20 41.0
20 | 30 03.8 | 165 05.4 S14 28.5 | 157 44.1 S18 27.4 | 20 46.6 N 2 31.8 | 90 21.9 S20 41.0
21 | 45 06.3 | 180 05.0 S14 29.4 | 172 44.9 S18 27.8 | 35 48.9 N 2 31.9 | 105 24.0 S20 40.9
22 | 60 08.8 | 195 04.6 S14 30.2 | 187 45.7 S18 28.3 | 50 51.2 N 2 32.0 | 120 26.2 S20 40.9
23 | 75 11.2 | 210 04.1 S14 31.0 | 202 46.4 S18 28.7 | 65 53.6 N 2 32.0 | 135 28.4 S20 40.8
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| v -0.4 d 0.8 | v 0.8 d 0.4 | v 2.3 d 0.1 | v 2.2 d 0.1
2461 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 04.3 S23 19.8 | 359 45.9 6.5 N18 28.4 0.0 58.7 | Acamar 311 01.8 S38 28.6
1 | 196 04.0 S23 19.9 | 14 11.4 6.5 N18 28.2 0.2 58.8 | Achernar 331 15.5 S54 54.5
2 | 211 03.7 S23 20.0 | 28 36.8 6.5 N18 28.0 0.3 58.8 | Acrux 166 50.5 S65 38.7
3 | 226 03.4 S23 20.0 | 43 02.3 6.4 N18 27.6 0.4 58.8 | Adhara 250 46.5 S29 37.2
4 | 241 03.1 S23 20.1 | 57 27.7 6.4 N18 27.0 0.5 58.8 | Albireo 62 38.7 N28 57.0
S 5 | 256 02.8 S23 20.2 | 71 53.1 6.4 N18 26.4 0.6 58.9 |
U | | | Aldebaran 284 21.6 N17 24.5
N 6 | 271 02.5 S23 20.2 | 86 18.5 6.4 N18 25.6 0.8 58.9 | Alioth 161 25.3 N53 27.5
D 7 | 286 02.2 S23 20.3 | 100 43.8 6.4 N18 24.7 0.9 58.9 | Alkaid 148 33.5 N47 01.1
A 8 | 301 01.9 S23 20.4 | 115 09.2 6.3 N18 23.7 1.0 58.9 | Al Na-ir 20 41.6 S44 43.0
Y 9 | 316 01.6 S23 20.4 | 129 34.5 6.3 N18 22.6 1.1 59.0 | Alnilam 270 03.5 S 0 56.1
10 | 331 01.3 S23 20.5 | 143 59.8 6.3 N18 21.4 1.2 59.0 |
11 | 346 01.0 S23 20.5 | 158 25.1 6.3 N18 20.0 1.4 59.0 | Alphard 212 24.3 S10 40.4
| | | Alphecca 121 25.3 N25 10.8
12 | 1 00.7 S23 20.6 | 172 50.3 6.3 N18 18.5 1.5 59.0 | Alpheratz 351 53.7 N31 38.3
13 | 16 00.4 S23 20.6 | 187 15.6 6.2 N18 16.9 1.6 59.0 | Altair 56 39.4 N10 06.6
14 | 31 00.1 S23 20.7 | 201 40.8 6.2 N18 15.2 1.7 59.1 | Ankaa 347 43.3 S39 48.6
15 | 45 59.8 S23 20.8 | 216 06.0 6.2 N18 13.3 1.8 59.1 |
16 | 60 59.5 S23 20.8 | 230 31.3 6.2 N18 11.4 2.0 59.1 | Antares 105 32.6 S27 25.5
17 | 75 59.2 S23 20.9 | 244 56.5 6.2 N18 09.3 2.1 59.1 | Arcturus 140 48.0 N16 47.6
| | | Atria 95 32.4 S69 49.3
18 | 90 58.9 S23 20.9 | 259 21.7 6.2 N18 07.1 2.2 59.1 | Avior 231 58.3 S61 00.1
19 | 105 58.6 S23 21.0 | 273 46.8 6.2 N18 04.8 2.3 59.2 | Bellatrix 272 29.7 N 6 44.3
20 | 120 58.3 S23 21.0 | 288 12.0 6.2 N18 02.3 2.4 59.2 |
21 | 135 58.0 S23 21.1 | 302 37.2 6.2 N17 59.7 2.6 59.2 | Betelgeuse 264 55.7 N 7 27.8
22 | 150 57.7 S23 21.1 | 317 02.4 6.2 N17 57.0 2.7 59.2 | Canopus 261 24.6 S52 57.7
23 | 165 57.4 S23 21.2 | 331 27.6 6.2 N17 54.2 2.8 59.2 | Capella 272 15.5 N46 25.7
------+-------------------+----------------------------------| Castor 238 58.2 N30 50.8
19 0 | 180 57.1 S23 21.2 | 345 52.7 6.2 N17 51.3 2.9 59.2 | Deneb 45 41.1 N46 56.7
1 | 195 56.8 S23 21.3 | 0 17.9 6.2 N17 48.3 3.0 59.3 |
2 | 210 56.5 S23 21.3 | 14 43.1 6.2 N17 45.1 3.2 59.3 | Denebola 176 49.9 N11 59.5
3 | 225 56.2 S23 21.4 | 29 08.3 6.2 N17 41.8 3.3 59.3 | Diphda 343 17.5 S15 27.8
4 | 240 55.9 S23 21.4 | 43 33.4 6.2 N17 38.4 3.4 59.3 | Dubhe 186 59.7 N59 14.8
M 5 | 255 55.6 S23 21.4 | 57 58.6 6.2 N17 34.9 3.5 59.3 | Elnath 271 05.8 N28 57.8
O | | | Eltanin 88 09.0 N51 26.9
N 6 | 270 55.3 S23 21.5 | 72 23.8 6.2 N17 31.2 3.6 59.3 |
D 7 | 285 55.0 S23 21.5 | 86 49.0 6.2 N17 27.5 3.8 59.4 | Enif 28 15.9 N12 00.3
A 8 | 300 54.7 S23 21.6 | 101 14.2 6.2 N17 23.6 3.9 59.4 | Fomalhaut 9 12.6 S27 10.4
Y 9 | 315 54.4 S23 21.6 | 115 39.4 6.2 N17 19.6 4.0 59.4 | Gacrux 165 43.9 S59 41.2
10 | 330 54.1 S23 21.6 | 130 04.7 6.2 N17 15.5 4.1 59.4 | Gienah 170 04.7 S20 05.9
11 | 345 53.7 S23 21.7 | 144 29.9 6.2 N17 11.3 4.2 59.4 | Hadar 140 48.4 S62 34.5
| | |
12 | 0 53.4 S23 21.7 | 158 55.2 6.3 N17 06.9 4.3 59.4 | Hamal 321 39.3 N25 37.7
13 | 15 53.1 S23 21.8 | 173 20.4 6.3 N17 02.5 4.5 59.4 | Kaus Austr. 76 17.2 S34 08.0
14 | 30 52.8 S23 21.8 | 187 45.7 6.3 N16 57.9 4.6 59.5 | Kochab 137 33.8 N72 16.0
15 | 45 52.5 S23 21.8 | 202 11.0 6.3 N16 53.2 4.7 59.5 | Markab 8 02.0 N17 41.6
16 | 60 52.2 S23 21.9 | 216 36.3 6.3 N16 48.5 4.8 59.5 | Menkar 308 21.6 N 5 52.7
17 | 75 51.9 S23 21.9 | 231 01.7 6.3 N16 43.5 4.9 59.5 |
| | | Menkent 141 29.4 S38 37.2
18 | 90 51.6 S23 21.9 | 245 27.0 6.4 N16 38.5 5.0 59.5 | Miaplacidus 220 25.1 S71 37.1
19 | 105 51.3 S23 22.0 | 259 52.4 6.4 N16 33.4 5.1 59.5 | Mirfak 300 36.4 N51 28.5
20 | 120 51.0 S23 22.0 | 274 17.8 6.4 N16 28.2 5.2 59.5 | Nunki 69 01.2 S25 41.6
21 | 135 50.7 S23 22.0 | 288 43.2 6.4 N16 22.8 5.3 59.5 | Peacock 44 30.1 S55 13.7
22 | 150 50.4 S23 22.1 | 303 08.6 6.4 N16 17.4 5.5 59.6 |
23 | 165 50.1 S23 22.1 | 317 34.1 6.5 N16 11.8 5.6 59.6 | Polaris 205 25.6 N91 19.5
------+-------------------+----------------------------------| Pollux 236 35.7 N26 52.9
20 0 | 180 49.8 S23 22.1 | 331 59.6 6.5 N16 06.1 5.7 59.6 | Procyon 239 06.6 N 4 01.0
1 | 195 49.5 S23 22.1 | 346 25.1 6.5 N16 00.3 5.8 59.6 | Rasalhague 90 53.4 N12 15.0
2 | 210 49.2 S23 22.2 | 0 50.6 6.5 N15 54.5 5.9 59.6 | Regulus 201 44.7 N 9 41.9
3 | 225 48.9 S23 22.2 | 15 16.2 6.6 N15 48.5 6.0 59.6 |
4 | 240 48.6 S23 22.2 | 29 41.8 6.6 N15 42.4 6.1 59.6 | Rigel 275 47.2 S 7 41.7
T 5 | 255 48.3 S23 22.2 | 44 07.4 6.6 N15 36.2 6.2 59.6 | Rigil Kent 132 10.9 S62 42.8
U | | | Sabik 95 45.9 S16 15.9
E 6 | 270 48.0 S23 22.3 | 58 33.1 6.7 N15 29.9 6.3 59.6 | Schedar 343 14.5 N59 03.9
S 7 | 285 47.7 S23 22.3 | 72 58.7 6.7 N15 23.4 6.4 59.6 | Shaula 88 44.4 S37 24.3
D 8 | 300 47.4 S23 22.3 | 87 24.5 6.7 N15 16.9 6.5 59.6 |
A 9 | 315 47.1 S23 22.3 | 101 50.2 6.7 N15 10.3 6.6 59.6 | Sirius 253 36.0 S17 22.4
Y 10 | 330 46.8 S23 22.4 | 116 16.0 6.8 N15 03.6 6.7 59.7 | Spica 152 35.4 S13 33.4
11 | 345 46.5 S23 22.4 | 130 41.8 6.8 N14 56.8 6.8 59.7 | Suhail 218 43.1 S45 18.3
| | | Vega 76 50.3 N39 14.0
12 | 0 46.2 S23 22.4 | 145 07.6 6.8 N14 49.9 6.9 59.7 | Zuben-ubi 131 03.4 S17 56.2
13 | 15 45.9 S23 22.4 | 159 33.5 6.9 N14 42.9 7.0 59.7 |
14 | 30 45.6 S23 22.4 | 173 59.4 6.9 N14 35.8 7.1 59.7 |
15 | 45 45.3 S23 22.4 | 188 25.4 6.9 N14 28.6 7.2 59.7 |
16 | 60 45.0 S23 22.5 | 202 51.3 7.0 N14 21.3 7.3 59.7 |
17 | 75 44.7 S23 22.5 | 217 17.4 7.0 N14 14.0 7.4 59.7 |
| | |
18 | 90 44.4 S23 22.5 | 231 43.4 7.1 N14 06.5 7.5 59.7 |
19 | 105 44.1 S23 22.5 | 246 09.5 7.1 N13 58.9 7.6 59.7 |
20 | 120 43.8 S23 22.5 | 260 35.6 7.1 N13 51.3 7.7 59.7 |
21 | 135 43.4 S23 22.5 | 275 01.8 7.2 N13 43.5 7.7 59.7 |
22 | 150 43.1 S23 22.5 | 289 28.0 7.2 N13 35.7 7.8 59.7 |
23 | 165 42.8 S23 22.5 | 303 54.3 7.2 N13 27.8 7.9 59.7 |
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|S.D. 16.2 d 0.0 | S.D. 16.1 16.2 16.3 |
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