
2451 DEC. 17, 18, 19 (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 | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
17 0 | 85 42.8 | 134 18.9 S20 02.3 | 294 39.7 N14 55.3 | 5 30.2 N22 26.9 | 254 00.6 S 2 34.7
1 | 100 45.2 | 149 19.6 S20 01.5 | 309 41.7 N14 55.2 | 20 33.1 N22 26.9 | 269 02.9 S 2 34.7
2 | 115 47.7 | 164 20.4 S20 00.8 | 324 43.8 N14 55.2 | 35 35.9 N22 26.9 | 284 05.2 S 2 34.8
3 | 130 50.2 | 179 21.1 S20 00.1 | 339 45.9 N14 55.2 | 50 38.7 N22 26.8 | 299 07.5 S 2 34.8
4 | 145 52.6 | 194 21.9 S19 59.4 | 354 47.9 N14 55.1 | 65 41.6 N22 26.8 | 314 09.8 S 2 34.9
S 5 | 160 55.1 | 209 22.6 S19 58.7 | 9 50.0 N14 55.1 | 80 44.4 N22 26.8 | 329 12.1 S 2 34.9
U
N 6 | 175 57.6 | 224 23.4 S19 58.0 | 24 52.0 N14 55.0 | 95 47.2 N22 26.8 | 344 14.5 S 2 35.0
D 7 | 191 00.0 | 239 24.1 S19 57.2 | 39 54.1 N14 55.0 | 110 50.1 N22 26.8 | 359 16.8 S 2 35.0
A 8 | 206 02.5 | 254 24.9 S19 56.5 | 54 56.2 N14 55.0 | 125 52.9 N22 26.8 | 14 19.1 S 2 35.1
Y 9 | 221 05.0 | 269 25.7 S19 55.8 | 69 58.2 N14 54.9 | 140 55.7 N22 26.7 | 29 21.4 S 2 35.1
10 | 236 07.4 | 284 26.4 S19 55.1 | 85 00.3 N14 54.9 | 155 58.5 N22 26.7 | 44 23.7 S 2 35.2
11 | 251 09.9 | 299 27.2 S19 54.4 | 100 02.4 N14 54.8 | 171 01.4 N22 26.7 | 59 26.1 S 2 35.2
12 | 266 12.3 | 314 27.9 S19 53.6 | 115 04.4 N14 54.8 | 186 04.2 N22 26.7 | 74 28.4 S 2 35.3
13 | 281 14.8 | 329 28.7 S19 52.9 | 130 06.5 N14 54.8 | 201 07.0 N22 26.7 | 89 30.7 S 2 35.3
14 | 296 17.3 | 344 29.5 S19 52.2 | 145 08.6 N14 54.7 | 216 09.9 N22 26.7 | 104 33.0 S 2 35.4
15 | 311 19.7 | 359 30.3 S19 51.5 | 160 10.6 N14 54.7 | 231 12.7 N22 26.6 | 119 35.3 S 2 35.4
16 | 326 22.2 | 14 31.0 S19 50.8 | 175 12.7 N14 54.6 | 246 15.5 N22 26.6 | 134 37.6 S 2 35.5
17 | 341 24.7 | 29 31.8 S19 50.0 | 190 14.8 N14 54.6 | 261 18.4 N22 26.6 | 149 40.0 S 2 35.5
18 | 356 27.1 | 44 32.6 S19 49.3 | 205 16.8 N14 54.6 | 276 21.2 N22 26.6 | 164 42.3 S 2 35.6
19 | 11 29.6 | 59 33.4 S19 48.6 | 220 18.9 N14 54.5 | 291 24.0 N22 26.6 | 179 44.6 S 2 35.6
20 | 26 32.1 | 74 34.2 S19 47.9 | 235 21.0 N14 54.5 | 306 26.8 N22 26.6 | 194 46.9 S 2 35.7
21 | 41 34.5 | 89 35.0 S19 47.2 | 250 23.1 N14 54.5 | 321 29.7 N22 26.5 | 209 49.2 S 2 35.7
22 | 56 37.0 | 104 35.8 S19 46.4 | 265 25.2 N14 54.4 | 336 32.5 N22 26.5 | 224 51.6 S 2 35.8
23 | 71 39.4 | 119 36.6 S19 45.7 | 280 27.2 N14 54.4 | 351 35.3 N22 26.5 | 239 53.9 S 2 35.8
------+----------+-------------------+-------------------+-------------------+--------------------
18 0 | 86 41.9 | 134 37.3 S19 45.0 | 295 29.3 N14 54.4 | 6 38.2 N22 26.5 | 254 56.2 S 2 35.9
1 | 101 44.4 | 149 38.1 S19 44.3 | 310 31.4 N14 54.3 | 21 41.0 N22 26.5 | 269 58.5 S 2 35.9
2 | 116 46.8 | 164 38.9 S19 43.5 | 325 33.5 N14 54.3 | 36 43.8 N22 26.5 | 285 00.8 S 2 36.0
3 | 131 49.3 | 179 39.8 S19 42.8 | 340 35.6 N14 54.3 | 51 46.6 N22 26.4 | 300 03.2 S 2 36.0
4 | 146 51.8 | 194 40.6 S19 42.1 | 355 37.6 N14 54.2 | 66 49.5 N22 26.4 | 315 05.5 S 2 36.1
M 5 | 161 54.2 | 209 41.4 S19 41.4 | 10 39.7 N14 54.2 | 81 52.3 N22 26.4 | 330 07.8 S 2 36.1
O
N 6 | 176 56.7 | 224 42.2 S19 40.7 | 25 41.8 N14 54.2 | 96 55.1 N22 26.4 | 345 10.1 S 2 36.2
D 7 | 191 59.2 | 239 43.0 S19 39.9 | 40 43.9 N14 54.1 | 111 58.0 N22 26.4 | 0 12.4 S 2 36.2
A 8 | 207 01.6 | 254 43.8 S19 39.2 | 55 46.0 N14 54.1 | 127 00.8 N22 26.3 | 15 14.8 S 2 36.3
Y 9 | 222 04.1 | 269 44.6 S19 38.5 | 70 48.1 N14 54.1 | 142 03.6 N22 26.3 | 30 17.1 S 2 36.3
10 | 237 06.6 | 284 45.4 S19 37.8 | 85 50.2 N14 54.1 | 157 06.5 N22 26.3 | 45 19.4 S 2 36.3
11 | 252 09.0 | 299 46.3 S19 37.0 | 100 52.3 N14 54.0 | 172 09.3 N22 26.3 | 60 21.7 S 2 36.4
12 | 267 11.5 | 314 47.1 S19 36.3 | 115 54.4 N14 54.0 | 187 12.1 N22 26.3 | 75 24.1 S 2 36.4
13 | 282 13.9 | 329 47.9 S19 35.6 | 130 56.5 N14 54.0 | 202 14.9 N22 26.3 | 90 26.4 S 2 36.5
14 | 297 16.4 | 344 48.8 S19 34.9 | 145 58.6 N14 53.9 | 217 17.8 N22 26.2 | 105 28.7 S 2 36.5
15 | 312 18.9 | 359 49.6 S19 34.1 | 161 00.7 N14 53.9 | 232 20.6 N22 26.2 | 120 31.0 S 2 36.6
16 | 327 21.3 | 14 50.4 S19 33.4 | 176 02.8 N14 53.9 | 247 23.4 N22 26.2 | 135 33.3 S 2 36.6
17 | 342 23.8 | 29 51.3 S19 32.7 | 191 04.9 N14 53.9 | 262 26.3 N22 26.2 | 150 35.7 S 2 36.7
18 | 357 26.3 | 44 52.1 S19 32.0 | 206 07.0 N14 53.8 | 277 29.1 N22 26.2 | 165 38.0 S 2 36.7
19 | 12 28.7 | 59 52.9 S19 31.2 | 221 09.1 N14 53.8 | 292 31.9 N22 26.2 | 180 40.3 S 2 36.8
20 | 27 31.2 | 74 53.8 S19 30.5 | 236 11.2 N14 53.8 | 307 34.7 N22 26.1 | 195 42.6 S 2 36.8
21 | 42 33.7 | 89 54.6 S19 29.8 | 251 13.3 N14 53.8 | 322 37.6 N22 26.1 | 210 45.0 S 2 36.9
22 | 57 36.1 | 104 55.5 S19 29.0 | 266 15.4 N14 53.7 | 337 40.4 N22 26.1 | 225 47.3 S 2 36.9
23 | 72 38.6 | 119 56.3 S19 28.3 | 281 17.5 N14 53.7 | 352 43.2 N22 26.1 | 240 49.6 S 2 37.0
------+----------+-------------------+-------------------+-------------------+--------------------
19 0 | 87 41.1 | 134 57.2 S19 27.6 | 296 19.6 N14 53.7 | 7 46.1 N22 26.1 | 255 51.9 S 2 37.0
1 | 102 43.5 | 149 58.1 S19 26.9 | 311 21.7 N14 53.7 | 22 48.9 N22 26.1 | 270 54.2 S 2 37.1
2 | 117 46.0 | 164 58.9 S19 26.1 | 326 23.8 N14 53.6 | 37 51.7 N22 26.0 | 285 56.6 S 2 37.1
3 | 132 48.4 | 179 59.8 S19 25.4 | 341 25.9 N14 53.6 | 52 54.5 N22 26.0 | 300 58.9 S 2 37.2
4 | 147 50.9 | 195 00.6 S19 24.7 | 356 28.0 N14 53.6 | 67 57.4 N22 26.0 | 316 01.2 S 2 37.2
T 5 | 162 53.4 | 210 01.5 S19 24.0 | 11 30.1 N14 53.6 | 83 00.2 N22 26.0 | 331 03.5 S 2 37.3
U
E 6 | 177 55.8 | 225 02.4 S19 23.2 | 26 32.2 N14 53.6 | 98 03.0 N22 26.0 | 346 05.9 S 2 37.3
S 7 | 192 58.3 | 240 03.3 S19 22.5 | 41 34.4 N14 53.5 | 113 05.8 N22 26.0 | 1 08.2 S 2 37.4
D 8 | 208 00.8 | 255 04.1 S19 21.8 | 56 36.5 N14 53.5 | 128 08.7 N22 25.9 | 16 10.5 S 2 37.4
A 9 | 223 03.2 | 270 05.0 S19 21.0 | 71 38.6 N14 53.5 | 143 11.5 N22 25.9 | 31 12.8 S 2 37.4
Y 10 | 238 05.7 | 285 05.9 S19 20.3 | 86 40.7 N14 53.5 | 158 14.3 N22 25.9 | 46 15.2 S 2 37.5
11 | 253 08.2 | 300 06.8 S19 19.6 | 101 42.8 N14 53.5 | 173 17.2 N22 25.9 | 61 17.5 S 2 37.5
12 | 268 10.6 | 315 07.7 S19 18.9 | 116 45.0 N14 53.4 | 188 20.0 N22 25.9 | 76 19.8 S 2 37.6
13 | 283 13.1 | 330 08.5 S19 18.1 | 131 47.1 N14 53.4 | 203 22.8 N22 25.9 | 91 22.1 S 2 37.6
14 | 298 15.5 | 345 09.4 S19 17.4 | 146 49.2 N14 53.4 | 218 25.6 N22 25.8 | 106 24.5 S 2 37.7
15 | 313 18.0 | 0 10.3 S19 16.7 | 161 51.3 N14 53.4 | 233 28.5 N22 25.8 | 121 26.8 S 2 37.7
16 | 328 20.5 | 15 11.2 S19 15.9 | 176 53.5 N14 53.4 | 248 31.3 N22 25.8 | 136 29.1 S 2 37.8
17 | 343 22.9 | 30 12.1 S19 15.2 | 191 55.6 N14 53.3 | 263 34.1 N22 25.8 | 151 31.4 S 2 37.8
18 | 358 25.4 | 45 13.0 S19 14.5 | 206 57.7 N14 53.3 | 278 36.9 N22 25.8 | 166 33.8 S 2 37.9
19 | 13 27.9 | 60 13.9 S19 13.7 | 221 59.8 N14 53.3 | 293 39.8 N22 25.7 | 181 36.1 S 2 37.9
20 | 28 30.3 | 75 14.8 S19 13.0 | 237 02.0 N14 53.3 | 308 42.6 N22 25.7 | 196 38.4 S 2 38.0
21 | 43 32.8 | 90 15.7 S19 12.3 | 252 04.1 N14 53.3 | 323 45.4 N22 25.7 | 211 40.7 S 2 38.0
22 | 58 35.3 | 105 16.7 S19 11.6 | 267 06.2 N14 53.3 | 338 48.3 N22 25.7 | 226 43.1 S 2 38.1
23 | 73 37.7 | 120 17.6 S19 10.8 | 282 08.4 N14 53.3 | 353 51.1 N22 25.7 | 241 45.4 S 2 38.1
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| v 0.8 d 0.7 | v 2.1 d 0.0 | v 2.8 d 0.0 | v 2.3 d 0.0
2451 DEC. 17, 18, 19 (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 | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
17 0 | 181 15.4 S23 17.1 | 253 39.7 14.5 S 3 56.6 15.3 57.0 | Acamar 311 07.5 S38 30.8
1 | 196 15.1 S23 17.2 | 268 13.2 14.5 S 4 11.9 15.2 57.0 | Achernar 331 20.8 S54 57.4
2 | 211 14.8 S23 17.3 | 282 46.7 14.5 S 4 27.1 15.2 56.9 | Acrux 166 59.8 S65 35.4
3 | 226 14.5 S23 17.4 | 297 20.2 14.5 S 4 42.3 15.2 56.9 | Adhara 250 52.6 S29 36.1
4 | 241 14.2 S23 17.5 | 311 53.7 14.5 S 4 57.4 15.1 56.9 | Albireo 62 45.0 N28 55.4
S 5 | 256 13.9 S23 17.6 | 326 27.1 14.5 S 5 12.5 15.1 56.9 |
U | | | Aldebaran 284 30.5 N17 23.5
N 6 | 271 13.6 S23 17.7 | 341 00.6 14.5 S 5 27.6 15.1 56.8 | Alioth 161 31.6 N53 30.8
D 7 | 286 13.3 S23 17.8 | 355 34.1 14.5 S 5 42.6 15.0 56.8 | Alkaid 148 39.3 N47 04.0
A 8 | 301 13.0 S23 17.9 | 10 07.6 14.5 S 5 57.6 15.0 56.8 | Al Na-ir 20 50.9 S44 46.1
Y 9 | 316 12.7 S23 17.9 | 24 41.2 14.5 S 6 12.6 15.0 56.7 | Alnilam 270 11.3 S 0 56.2
10 | 331 12.4 S23 18.0 | 39 14.7 14.5 S 6 27.5 14.9 56.7 |
11 | 346 12.1 S23 18.1 | 53 48.2 14.5 S 6 42.4 14.9 56.7 | Alphard 212 31.9 S10 37.6
| | | Alphecca 121 31.7 N25 12.6
12 | 1 11.8 S23 18.2 | 68 21.7 14.5 S 6 57.2 14.8 56.7 | Alpheratz 352 01.8 N31 35.0
13 | 16 11.5 S23 18.3 | 82 55.1 14.5 S 7 12.0 14.8 56.6 | Altair 56 47.0 N10 04.7
14 | 31 11.2 S23 18.4 | 97 28.6 14.5 S 7 26.8 14.8 56.6 | Ankaa 347 50.6 S39 51.9
15 | 46 10.9 S23 18.5 | 112 02.1 14.5 S 7 41.5 14.7 56.6 |
16 | 61 10.6 S23 18.6 | 126 35.6 14.5 S 7 56.2 14.7 56.5 | Antares 105 42.1 S27 24.4
17 | 76 10.3 S23 18.6 | 141 09.0 14.5 S 8 10.8 14.6 56.5 | Arcturus 140 54.9 N16 50.6
| | | Atria 95 49.0 S69 48.6
18 | 91 10.0 S23 18.7 | 155 42.5 14.5 S 8 25.3 14.6 56.5 | Avior 232 01.8 S60 57.9
19 | 106 09.7 S23 18.8 | 170 15.9 14.4 S 8 39.9 14.5 56.5 | Bellatrix 272 37.9 N 6 44.1
20 | 121 09.4 S23 18.9 | 184 49.4 14.4 S 8 54.3 14.5 56.4 |
21 | 136 09.1 S23 19.0 | 199 22.8 14.4 S 9 08.7 14.4 56.4 | Betelgeuse 265 04.0 N 7 28.0
22 | 151 08.8 S23 19.1 | 213 56.2 14.4 S 9 23.1 14.4 56.4 | Canopus 261 28.1 S52 57.0
23 | 166 08.5 S23 19.1 | 228 29.6 14.4 S 9 37.4 14.3 56.4 | Capella 272 27.0 N46 25.5
------+-------------------+----------------------------------| Castor 239 07.9 N30 52.4
18 0 | 181 08.2 S23 19.2 | 243 03.0 14.4 S 9 51.7 14.3 56.3 | Deneb 45 46.6 N46 54.3
1 | 196 07.9 S23 19.3 | 257 36.3 14.4 S10 05.9 14.2 56.3 |
2 | 211 07.6 S23 19.4 | 272 09.6 14.3 S10 20.1 14.2 56.3 | Denebola 176 57.7 N12 02.9
3 | 226 07.3 S23 19.4 | 286 43.0 14.3 S10 34.2 14.1 56.3 | Diphda 343 25.1 S15 31.0
4 | 241 07.0 S23 19.5 | 301 16.3 14.3 S10 48.2 14.0 56.2 | Dubhe 187 08.6 N59 18.2
M 5 | 256 06.7 S23 19.6 | 315 49.5 14.3 S11 02.2 14.0 56.2 | Elnath 271 15.6 N28 57.6
O | | | Eltanin 88 12.6 N51 26.7
N 6 | 271 06.4 S23 19.7 | 330 22.8 14.3 S11 16.1 13.9 56.2 |
D 7 | 286 06.1 S23 19.7 | 344 56.0 14.2 S11 30.0 13.9 56.2 | Enif 28 23.5 N11 57.3
A 8 | 301 05.8 S23 19.8 | 359 29.2 14.2 S11 43.8 13.8 56.1 | Fomalhaut 9 20.9 S27 13.7
Y 9 | 316 05.5 S23 19.9 | 14 02.4 14.2 S11 57.5 13.7 56.1 | Gacrux 165 53.0 S59 37.8
10 | 331 05.2 S23 20.0 | 28 35.5 14.2 S12 11.2 13.7 56.1 | Gienah 170 12.8 S20 02.5
11 | 346 04.9 S23 20.0 | 43 08.7 14.1 S12 24.8 13.6 56.1 | Hadar 140 59.8 S62 31.7
| | |
12 | 1 04.6 S23 20.1 | 57 41.8 14.1 S12 38.4 13.6 56.0 | Hamal 321 48.1 N25 35.0
13 | 16 04.3 S23 20.2 | 72 14.8 14.1 S12 51.9 13.5 56.0 | Kaus Austr. 76 27.3 S34 08.7
14 | 31 04.0 S23 20.2 | 86 47.9 14.0 S13 05.3 13.4 56.0 | Kochab 137 32.8 N72 18.3
15 | 46 03.7 S23 20.3 | 101 20.9 14.0 S13 18.7 13.4 56.0 | Markab 8 09.7 N17 38.3
16 | 61 03.4 S23 20.4 | 115 53.8 14.0 S13 32.0 13.3 55.9 | Menkar 308 29.7 N 5 50.5
17 | 76 03.1 S23 20.4 | 130 26.8 13.9 S13 45.2 13.2 55.9 |
| | | Menkent 141 38.6 S38 34.4
18 | 91 02.8 S23 20.5 | 144 59.7 13.9 S13 58.4 13.2 55.9 | Miaplacidus 220 27.5 S71 34.3
19 | 106 02.5 S23 20.5 | 159 32.6 13.9 S14 11.5 13.1 55.9 | Mirfak 300 47.6 N51 26.6
20 | 121 02.2 S23 20.6 | 174 05.4 13.8 S14 24.5 13.0 55.8 | Nunki 69 10.7 S25 42.7
21 | 136 01.9 S23 20.7 | 188 38.2 13.8 S14 37.4 12.9 55.8 | Peacock 44 41.9 S55 15.9
22 | 151 01.6 S23 20.7 | 203 11.0 13.8 S14 50.3 12.9 55.8 |
23 | 166 01.3 S23 20.8 | 217 43.7 13.7 S15 03.1 12.8 55.8 | Polaris 208 17.1 N91 16.9
------+-------------------+----------------------------------| Pollux 236 45.0 N26 54.7
19 0 | 181 01.0 S23 20.9 | 232 16.4 13.7 S15 15.9 12.7 55.8 | Procyon 239 14.7 N 4 02.8
1 | 196 00.7 S23 20.9 | 246 49.0 13.7 S15 28.5 12.7 55.7 | Rasalhague 91 00.5 N12 15.2
2 | 211 00.4 S23 21.0 | 261 21.7 13.6 S15 41.1 12.6 55.7 | Regulus 201 52.9 N 9 45.1
3 | 226 00.1 S23 21.0 | 275 54.2 13.6 S15 53.6 12.5 55.7 |
4 | 240 59.8 S23 21.1 | 290 26.8 13.5 S16 06.0 12.4 55.7 | Rigel 275 54.6 S 7 42.1
T 5 | 255 59.5 S23 21.1 | 304 59.2 13.5 S16 18.4 12.3 55.6 | Rigil Kent 132 21.8 S62 40.5
U | | | Sabik 95 54.7 S16 15.5
E 6 | 270 59.2 S23 21.2 | 319 31.7 13.4 S16 30.6 12.3 55.6 | Schedar 343 23.7 N59 00.6
S 7 | 285 58.9 S23 21.2 | 334 04.1 13.4 S16 42.8 12.2 55.6 | Shaula 88 54.9 S37 24.2
D 8 | 300 58.6 S23 21.3 | 348 36.5 13.4 S16 54.9 12.1 55.6 |
A 9 | 315 58.3 S23 21.3 | 3 08.8 13.3 S17 06.9 12.0 55.6 | Sirius 253 42.8 S17 21.2
Y 10 | 330 58.0 S23 21.4 | 17 41.0 13.3 S17 18.9 11.9 55.5 | Spica 152 43.6 S13 30.3
11 | 345 57.7 S23 21.4 | 32 13.3 13.2 S17 30.7 11.9 55.5 | Suhail 218 49.0 S45 15.6
| | | Vega 76 55.6 N39 13.1
12 | 0 57.3 S23 21.5 | 46 45.5 13.2 S17 42.5 11.8 55.5 | Zuben-ubi 131 11.8 S17 53.9
13 | 15 57.0 S23 21.5 | 61 17.6 13.1 S17 54.2 11.7 55.5 |
14 | 30 56.7 S23 21.6 | 75 49.7 13.1 S18 05.8 11.6 55.5 |
15 | 45 56.4 S23 21.6 | 90 21.7 13.0 S18 17.3 11.5 55.4 |
16 | 60 56.1 S23 21.7 | 104 53.7 13.0 S18 28.8 11.4 55.4 |
17 | 75 55.8 S23 21.7 | 119 25.6 12.9 S18 40.1 11.3 55.4 |
| | |
18 | 90 55.5 S23 21.8 | 133 57.5 12.9 S18 51.3 11.2 55.4 |
19 | 105 55.2 S23 21.8 | 148 29.4 12.8 S19 02.5 11.2 55.4 |
20 | 120 54.9 S23 21.9 | 163 01.2 12.8 S19 13.6 11.1 55.3 |
21 | 135 54.6 S23 21.9 | 177 32.9 12.7 S19 24.5 11.0 55.3 |
22 | 150 54.3 S23 21.9 | 192 04.6 12.7 S19 35.4 10.9 55.3 |
23 | 165 54.0 S23 22.0 | 206 36.3 12.6 S19 46.2 10.8 55.3 |
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|S.D. 16.2 d 0.1 | S.D. 15.4 15.3 15.1 |
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