
2720 DEC. 21, 22, 23 (TUE, WED, THU)
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| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
21 0 | 89 31.6 | 224 51.2 S14 25.2 | 285 27.0 N 9 43.4 | 134 47.3 S17 39.6 | 213 03.4 S17 41.2
1 | 104 34.0 | 239 50.8 S14 26.0 | 300 28.8 N 9 43.2 | 149 49.3 S17 39.4 | 228 05.6 S17 41.2
2 | 119 36.5 | 254 50.3 S14 26.8 | 315 30.6 N 9 43.1 | 164 51.2 S17 39.3 | 243 07.8 S17 41.3
3 | 134 39.0 | 269 49.9 S14 27.7 | 330 32.4 N 9 42.9 | 179 53.2 S17 39.1 | 258 09.9 S17 41.3
4 | 149 41.4 | 284 49.4 S14 28.5 | 345 34.2 N 9 42.7 | 194 55.1 S17 39.0 | 273 12.1 S17 41.4
T 5 | 164 43.9 | 299 49.0 S14 29.3 | 0 36.0 N 9 42.5 | 209 57.1 S17 38.9 | 288 14.3 S17 41.5
U
E 6 | 179 46.4 | 314 48.5 S14 30.1 | 15 37.8 N 9 42.3 | 224 59.0 S17 38.7 | 303 16.5 S17 41.5
S 7 | 194 48.8 | 329 48.1 S14 31.0 | 30 39.6 N 9 42.2 | 240 01.0 S17 38.6 | 318 18.7 S17 41.6
D 8 | 209 51.3 | 344 47.6 S14 31.8 | 45 41.4 N 9 42.0 | 255 02.9 S17 38.4 | 333 20.9 S17 41.6
A 9 | 224 53.7 | 359 47.2 S14 32.6 | 60 43.2 N 9 41.8 | 270 04.9 S17 38.3 | 348 23.0 S17 41.7
Y 10 | 239 56.2 | 14 46.7 S14 33.4 | 75 45.1 N 9 41.6 | 285 06.8 S17 38.1 | 3 25.2 S17 41.7
11 | 254 58.7 | 29 46.3 S14 34.2 | 90 46.9 N 9 41.4 | 300 08.8 S17 38.0 | 18 27.4 S17 41.8
12 | 270 01.1 | 44 45.8 S14 35.1 | 105 48.7 N 9 41.3 | 315 10.8 S17 37.9 | 33 29.6 S17 41.9
13 | 285 03.6 | 59 45.4 S14 35.9 | 120 50.5 N 9 41.1 | 330 12.7 S17 37.7 | 48 31.8 S17 41.9
14 | 300 06.1 | 74 44.9 S14 36.7 | 135 52.3 N 9 40.9 | 345 14.7 S17 37.6 | 63 34.0 S17 42.0
15 | 315 08.5 | 89 44.5 S14 37.5 | 150 54.1 N 9 40.7 | 0 16.6 S17 37.4 | 78 36.1 S17 42.0
16 | 330 11.0 | 104 44.0 S14 38.3 | 165 55.9 N 9 40.5 | 15 18.6 S17 37.3 | 93 38.3 S17 42.1
17 | 345 13.5 | 119 43.5 S14 39.2 | 180 57.8 N 9 40.4 | 30 20.5 S17 37.2 | 108 40.5 S17 42.1
18 | 0 15.9 | 134 43.1 S14 40.0 | 195 59.6 N 9 40.2 | 45 22.5 S17 37.0 | 123 42.7 S17 42.2
19 | 15 18.4 | 149 42.6 S14 40.8 | 211 01.4 N 9 40.0 | 60 24.4 S17 36.9 | 138 44.9 S17 42.2
20 | 30 20.9 | 164 42.2 S14 41.6 | 226 03.2 N 9 39.8 | 75 26.4 S17 36.7 | 153 47.1 S17 42.3
21 | 45 23.3 | 179 41.7 S14 42.4 | 241 05.0 N 9 39.7 | 90 28.3 S17 36.6 | 168 49.2 S17 42.4
22 | 60 25.8 | 194 41.3 S14 43.3 | 256 06.9 N 9 39.5 | 105 30.3 S17 36.5 | 183 51.4 S17 42.4
23 | 75 28.2 | 209 40.8 S14 44.1 | 271 08.7 N 9 39.3 | 120 32.2 S17 36.3 | 198 53.6 S17 42.5
------+----------+-------------------+-------------------+-------------------+--------------------
22 0 | 90 30.7 | 224 40.3 S14 44.9 | 286 10.5 N 9 39.1 | 135 34.2 S17 36.2 | 213 55.8 S17 42.5
1 | 105 33.2 | 239 39.9 S14 45.7 | 301 12.3 N 9 38.9 | 150 36.1 S17 36.0 | 228 58.0 S17 42.6
2 | 120 35.6 | 254 39.4 S14 46.5 | 316 14.2 N 9 38.8 | 165 38.1 S17 35.9 | 244 00.2 S17 42.6
3 | 135 38.1 | 269 39.0 S14 47.3 | 331 16.0 N 9 38.6 | 180 40.0 S17 35.7 | 259 02.4 S17 42.7
4 | 150 40.6 | 284 38.5 S14 48.1 | 346 17.8 N 9 38.4 | 195 42.0 S17 35.6 | 274 04.5 S17 42.8
W 5 | 165 43.0 | 299 38.0 S14 49.0 | 1 19.6 N 9 38.2 | 210 43.9 S17 35.5 | 289 06.7 S17 42.8
E
D 6 | 180 45.5 | 314 37.6 S14 49.8 | 16 21.5 N 9 38.1 | 225 45.9 S17 35.3 | 304 08.9 S17 42.9
N 7 | 195 48.0 | 329 37.1 S14 50.6 | 31 23.3 N 9 37.9 | 240 47.8 S17 35.2 | 319 11.1 S17 42.9
E 8 | 210 50.4 | 344 36.6 S14 51.4 | 46 25.1 N 9 37.7 | 255 49.8 S17 35.0 | 334 13.3 S17 43.0
S 9 | 225 52.9 | 359 36.2 S14 52.2 | 61 26.9 N 9 37.6 | 270 51.7 S17 34.9 | 349 15.5 S17 43.0
D 10 | 240 55.4 | 14 35.7 S14 53.0 | 76 28.8 N 9 37.4 | 285 53.7 S17 34.7 | 4 17.6 S17 43.1
A 11 | 255 57.8 | 29 35.2 S14 53.8 | 91 30.6 N 9 37.2 | 300 55.6 S17 34.6 | 19 19.8 S17 43.2
Y
12 | 271 00.3 | 44 34.8 S14 54.6 | 106 32.4 N 9 37.0 | 315 57.6 S17 34.5 | 34 22.0 S17 43.2
13 | 286 02.7 | 59 34.3 S14 55.5 | 121 34.3 N 9 36.9 | 330 59.5 S17 34.3 | 49 24.2 S17 43.3
14 | 301 05.2 | 74 33.8 S14 56.3 | 136 36.1 N 9 36.7 | 346 01.5 S17 34.2 | 64 26.4 S17 43.3
15 | 316 07.7 | 89 33.4 S14 57.1 | 151 37.9 N 9 36.5 | 1 03.4 S17 34.0 | 79 28.6 S17 43.4
16 | 331 10.1 | 104 32.9 S14 57.9 | 166 39.8 N 9 36.4 | 16 05.4 S17 33.9 | 94 30.8 S17 43.4
17 | 346 12.6 | 119 32.4 S14 58.7 | 181 41.6 N 9 36.2 | 31 07.3 S17 33.7 | 109 32.9 S17 43.5
18 | 1 15.1 | 134 32.0 S14 59.5 | 196 43.5 N 9 36.0 | 46 09.3 S17 33.6 | 124 35.1 S17 43.5
19 | 16 17.5 | 149 31.5 S15 00.3 | 211 45.3 N 9 35.9 | 61 11.2 S17 33.5 | 139 37.3 S17 43.6
20 | 31 20.0 | 164 31.0 S15 01.1 | 226 47.1 N 9 35.7 | 76 13.2 S17 33.3 | 154 39.5 S17 43.7
21 | 46 22.5 | 179 30.6 S15 01.9 | 241 49.0 N 9 35.5 | 91 15.1 S17 33.2 | 169 41.7 S17 43.7
22 | 61 24.9 | 194 30.1 S15 02.7 | 256 50.8 N 9 35.3 | 106 17.1 S17 33.0 | 184 43.9 S17 43.8
23 | 76 27.4 | 209 29.6 S15 03.5 | 271 52.7 N 9 35.2 | 121 19.0 S17 32.9 | 199 46.1 S17 43.8
------+----------+-------------------+-------------------+-------------------+--------------------
23 0 | 91 29.9 | 224 29.1 S15 04.3 | 286 54.5 N 9 35.0 | 136 21.0 S17 32.7 | 214 48.2 S17 43.9
1 | 106 32.3 | 239 28.7 S15 05.1 | 301 56.3 N 9 34.8 | 151 22.9 S17 32.6 | 229 50.4 S17 43.9
2 | 121 34.8 | 254 28.2 S15 05.9 | 316 58.2 N 9 34.7 | 166 24.8 S17 32.5 | 244 52.6 S17 44.0
3 | 136 37.2 | 269 27.7 S15 06.7 | 332 00.0 N 9 34.5 | 181 26.8 S17 32.3 | 259 54.8 S17 44.1
4 | 151 39.7 | 284 27.2 S15 07.5 | 347 01.9 N 9 34.3 | 196 28.7 S17 32.2 | 274 57.0 S17 44.1
T 5 | 166 42.2 | 299 26.8 S15 08.3 | 2 03.7 N 9 34.2 | 211 30.7 S17 32.0 | 289 59.2 S17 44.2
H
U 6 | 181 44.6 | 314 26.3 S15 09.1 | 17 05.6 N 9 34.0 | 226 32.6 S17 31.9 | 305 01.4 S17 44.2
R 7 | 196 47.1 | 329 25.8 S15 09.9 | 32 07.4 N 9 33.9 | 241 34.6 S17 31.7 | 320 03.5 S17 44.3
S 8 | 211 49.6 | 344 25.3 S15 10.7 | 47 09.3 N 9 33.7 | 256 36.5 S17 31.6 | 335 05.7 S17 44.3
D 9 | 226 52.0 | 359 24.9 S15 11.5 | 62 11.1 N 9 33.5 | 271 38.5 S17 31.5 | 350 07.9 S17 44.4
A 10 | 241 54.5 | 14 24.4 S15 12.3 | 77 13.0 N 9 33.4 | 286 40.4 S17 31.3 | 5 10.1 S17 44.4
Y 11 | 256 57.0 | 29 23.9 S15 13.1 | 92 14.8 N 9 33.2 | 301 42.4 S17 31.2 | 20 12.3 S17 44.5
12 | 271 59.4 | 44 23.4 S15 13.9 | 107 16.7 N 9 33.0 | 316 44.3 S17 31.0 | 35 14.5 S17 44.6
13 | 287 01.9 | 59 22.9 S15 14.7 | 122 18.5 N 9 32.9 | 331 46.3 S17 30.9 | 50 16.7 S17 44.6
14 | 302 04.3 | 74 22.5 S15 15.5 | 137 20.4 N 9 32.7 | 346 48.2 S17 30.7 | 65 18.8 S17 44.7
15 | 317 06.8 | 89 22.0 S15 16.3 | 152 22.2 N 9 32.5 | 1 50.2 S17 30.6 | 80 21.0 S17 44.7
16 | 332 09.3 | 104 21.5 S15 17.1 | 167 24.1 N 9 32.4 | 16 52.1 S17 30.4 | 95 23.2 S17 44.8
17 | 347 11.7 | 119 21.0 S15 17.9 | 182 26.0 N 9 32.2 | 31 54.0 S17 30.3 | 110 25.4 S17 44.8
18 | 2 14.2 | 134 20.5 S15 18.7 | 197 27.8 N 9 32.1 | 46 56.0 S17 30.2 | 125 27.6 S17 44.9
19 | 17 16.7 | 149 20.0 S15 19.5 | 212 29.7 N 9 31.9 | 61 57.9 S17 30.0 | 140 29.8 S17 44.9
20 | 32 19.1 | 164 19.6 S15 20.3 | 227 31.5 N 9 31.7 | 76 59.9 S17 29.9 | 155 32.0 S17 45.0
21 | 47 21.6 | 179 19.1 S15 21.1 | 242 33.4 N 9 31.6 | 92 01.8 S17 29.7 | 170 34.2 S17 45.1
22 | 62 24.1 | 194 18.6 S15 21.9 | 257 35.3 N 9 31.4 | 107 03.8 S17 29.6 | 185 36.3 S17 45.1
23 | 77 26.5 | 209 18.1 S15 22.7 | 272 37.1 N 9 31.3 | 122 05.7 S17 29.4 | 200 38.5 S17 45.2
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| v -0.5 d 0.8 | v 1.8 d 0.2 | v 1.9 d 0.1 | v 2.2 d 0.1
2720 DEC. 21, 22, 23 (TUE, WED, THU)
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| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
21 0 | 180 55.3 S23 20.2 | 191 28.3 2.9 S19 50.7 0.4 61.4 | Acamar 308 32.7 S37 27.0
1 | 195 55.0 S23 20.3 | 205 50.1 2.8 S19 51.0 0.3 61.4 | Achernar 328 49.3 S53 36.2
2 | 210 54.7 S23 20.3 | 220 11.9 2.8 S19 51.2 0.1 61.4 | Acrux 163 10.8 S67 04.3
3 | 225 54.4 S23 20.3 | 234 33.8 2.8 S19 51.2 0.0 61.4 | Adhara 248 11.9 S29 58.9
4 | 240 54.1 S23 20.3 | 248 55.6 2.8 S19 51.0 0.2 61.4 | Albireo 60 00.3 N29 30.0
T 5 | 255 53.8 S23 20.4 | 263 17.4 2.8 S19 50.7 0.3 61.4 |
U | | | Aldebaran 280 36.9 N17 54.7
E 6 | 270 53.5 S23 20.4 | 277 39.3 2.8 S19 50.2 0.5 61.4 | Alioth 158 33.3 N52 03.7
S 7 | 285 53.2 S23 20.4 | 292 01.1 2.8 S19 49.6 0.6 61.4 | Alkaid 145 58.8 N45 44.2
D 8 | 300 52.9 S23 20.4 | 306 22.9 2.8 S19 48.8 0.8 61.4 | Al Na-ir 16 36.6 S43 27.7
A 9 | 315 52.6 S23 20.4 | 320 44.8 2.8 S19 47.9 0.9 61.4 | Alnilam 266 44.6 S 0 47.1
Y 10 | 330 52.3 S23 20.4 | 335 06.6 2.9 S19 46.8 1.1 61.4 |
11 | 345 52.0 S23 20.5 | 349 28.5 2.9 S19 45.6 1.2 61.4 | Alphard 209 11.8 S11 48.0
| | | Alphecca 118 38.9 N24 19.3
12 | 0 51.7 S23 20.5 | 3 50.4 2.9 S19 44.2 1.4 61.4 | Alpheratz 348 30.7 N33 03.7
13 | 15 51.4 S23 20.5 | 18 12.3 2.9 S19 42.7 1.5 61.4 | Altair 53 28.3 N10 48.2
14 | 30 51.1 S23 20.5 | 32 34.2 2.9 S19 41.0 1.7 61.4 | Ankaa 344 30.3 S38 24.7
15 | 45 50.8 S23 20.5 | 46 56.1 2.9 S19 39.1 1.8 61.4 |
16 | 60 50.5 S23 20.5 | 61 18.1 3.0 S19 37.1 2.0 61.4 | Antares 101 32.5 S27 58.9
17 | 75 50.2 S23 20.5 | 75 40.0 3.0 S19 35.0 2.1 61.4 | Arcturus 137 49.0 N15 27.4
| | | Atria 88 38.0 S70 16.1
18 | 90 49.9 S23 20.5 | 90 02.0 3.0 S19 32.7 2.3 61.4 | Avior 230 36.7 S61 50.1
19 | 105 49.6 S23 20.6 | 104 24.1 3.0 S19 30.3 2.4 61.4 | Bellatrix 268 59.6 N 6 57.4
20 | 120 49.3 S23 20.6 | 118 46.1 3.1 S19 27.7 2.6 61.4 |
21 | 135 48.9 S23 20.6 | 133 08.2 3.1 S19 24.9 2.7 61.4 | Betelgeuse 261 23.7 N 7 29.8
22 | 150 48.6 S23 20.6 | 147 30.3 3.1 S19 22.1 2.9 61.4 | Canopus 259 56.2 S53 06.5
23 | 165 48.3 S23 20.6 | 161 52.5 3.2 S19 19.0 3.0 61.4 | Capella 267 26.9 N46 40.3
------+-------------------+----------------------------------| Castor 234 49.2 N30 16.0
22 0 | 180 48.0 S23 20.6 | 176 14.7 3.2 S19 15.8 3.2 61.3 | Deneb 43 26.8 N47 52.4
1 | 195 47.7 S23 20.6 | 190 36.9 3.2 S19 12.5 3.3 61.3 |
2 | 210 47.4 S23 20.6 | 204 59.2 3.3 S19 09.1 3.5 61.3 | Denebola 173 30.4 N10 33.0
3 | 225 47.1 S23 20.6 | 219 21.6 3.3 S19 05.4 3.6 61.3 | Diphda 340 01.0 S14 03.0
4 | 240 46.8 S23 20.6 | 233 43.9 3.4 S19 01.7 3.8 61.3 | Dubhe 183 00.8 N57 51.0
W 5 | 255 46.5 S23 20.6 | 248 06.3 3.4 S18 57.8 3.9 61.3 | Elnath 266 58.6 N29 09.8
E | | | Eltanin 86 36.6 N51 25.4
D 6 | 270 46.2 S23 20.6 | 262 28.8 3.5 S18 53.8 4.0 61.3 |
N 7 | 285 45.9 S23 20.6 | 276 51.3 3.5 S18 49.6 4.2 61.3 | Enif 25 03.5 N13 11.7
E 8 | 300 45.6 S23 20.6 | 291 13.9 3.6 S18 45.3 4.3 61.2 | Fomalhaut 5 37.0 S25 48.2
S 9 | 315 45.3 S23 20.6 | 305 36.5 3.6 S18 40.8 4.5 61.2 | Gacrux 162 05.3 S61 07.7
D 10 | 330 45.0 S23 20.6 | 319 59.2 3.7 S18 36.2 4.6 61.2 | Gienah 166 43.0 S21 31.7
A 11 | 345 44.7 S23 20.6 | 334 21.9 3.7 S18 31.5 4.7 61.2 | Hadar 136 10.5 S63 48.5
Y | | |
12 | 0 44.4 S23 20.6 | 348 44.7 3.8 S18 26.6 4.9 61.2 | Hamal 317 58.2 N26 50.4
13 | 15 44.1 S23 20.6 | 3 07.6 3.9 S18 21.6 5.0 61.2 | Kaus Austr. 71 58.0 S33 59.7
14 | 30 43.8 S23 20.6 | 17 30.5 3.9 S18 16.5 5.1 61.2 | Kochab 137 39.5 N71 12.7
15 | 45 43.5 S23 20.6 | 31 53.5 4.0 S18 11.2 5.3 61.1 | Markab 4 46.7 N19 05.0
16 | 60 43.2 S23 20.6 | 46 16.5 4.0 S18 05.8 5.4 61.1 | Menkar 304 56.6 N 6 52.7
17 | 75 42.9 S23 20.6 | 60 39.6 4.1 S18 00.3 5.5 61.1 |
| | | Menkent 137 38.3 S39 52.9
18 | 90 42.6 S23 20.6 | 75 02.8 4.2 S17 54.7 5.7 61.1 | Miaplacidus 219 41.3 S72 40.9
19 | 105 42.3 S23 20.5 | 89 26.0 4.2 S17 48.9 5.8 61.1 | Mirfak 295 56.3 N52 22.7
20 | 120 42.0 S23 20.5 | 103 49.4 4.3 S17 43.0 5.9 61.0 | Nunki 64 59.1 S25 21.4
21 | 135 41.7 S23 20.5 | 118 12.7 4.4 S17 37.0 6.0 61.0 | Peacock 39 23.4 S54 23.1
22 | 150 41.4 S23 20.5 | 132 36.2 4.5 S17 30.8 6.2 61.0 |
23 | 165 41.1 S23 20.5 | 146 59.7 4.5 S17 24.5 6.3 61.0 | Polaris 140 08.0 N92 29.3
------+-------------------+----------------------------------| Pollux 232 36.9 N26 14.7
23 0 | 180 40.8 S23 20.5 | 161 23.4 4.6 S17 18.1 6.4 61.0 | Procyon 235 41.9 N 3 20.5
1 | 195 40.5 S23 20.5 | 175 47.0 4.7 S17 11.6 6.5 60.9 | Rasalhague 87 51.3 N12 04.5
2 | 210 40.2 S23 20.5 | 190 10.8 4.8 S17 05.0 6.6 60.9 | Regulus 198 16.5 N 8 25.9
3 | 225 39.9 S23 20.4 | 204 34.6 4.8 S16 58.3 6.7 60.9 |
4 | 240 39.6 S23 20.4 | 218 58.6 4.9 S16 51.4 6.9 60.9 | Rigel 272 38.7 S 7 24.6
T 5 | 255 39.3 S23 20.4 | 233 22.6 5.0 S16 44.4 7.0 60.8 | Rigil Kent 127 43.6 S63 46.0
H | | | Sabik 92 01.4 S16 34.2
U 6 | 270 39.0 S23 20.4 | 247 46.6 5.1 S16 37.3 7.1 60.8 | Schedar 339 30.8 N60 28.6
R 7 | 285 38.7 S23 20.4 | 262 10.8 5.2 S16 30.1 7.2 60.8 | Shaula 84 19.1 S37 34.5
S 8 | 300 38.4 S23 20.3 | 276 35.0 5.2 S16 22.8 7.3 60.8 |
D 9 | 315 38.1 S23 20.3 | 290 59.4 5.3 S16 15.4 7.4 60.7 | Sirius 250 43.1 S17 44.3
A 10 | 330 37.8 S23 20.3 | 305 23.8 5.4 S16 07.9 7.5 60.7 | Spica 149 08.8 S14 53.8
Y 11 | 345 37.5 S23 20.3 | 319 48.3 5.5 S16 00.3 7.6 60.7 | Suhail 216 18.1 S46 21.2
| | | Vega 74 36.9 N39 28.9
12 | 0 37.2 S23 20.3 | 334 12.9 5.6 S15 52.5 7.7 60.6 | Zuben-ubi 127 32.9 S18 59.9
13 | 15 36.9 S23 20.2 | 348 37.5 5.7 S15 44.7 7.8 60.6 |
14 | 30 36.6 S23 20.2 | 3 02.3 5.8 S15 36.8 7.9 60.6 |
15 | 45 36.2 S23 20.2 | 17 27.1 5.8 S15 28.8 8.0 60.6 |
16 | 60 35.9 S23 20.1 | 31 52.0 5.9 S15 20.6 8.1 60.5 |
17 | 75 35.6 S23 20.1 | 46 17.1 6.0 S15 12.4 8.2 60.5 |
| | |
18 | 90 35.3 S23 20.1 | 60 42.2 6.1 S15 04.1 8.3 60.5 |
19 | 105 35.0 S23 20.1 | 75 07.4 6.2 S14 55.7 8.4 60.4 |
20 | 120 34.7 S23 20.0 | 89 32.6 6.3 S14 47.2 8.5 60.4 |
21 | 135 34.4 S23 20.0 | 103 58.0 6.4 S14 38.6 8.6 60.4 |
22 | 150 34.1 S23 20.0 | 118 23.5 6.5 S14 29.9 8.7 60.3 |
23 | 165 33.8 S23 19.9 | 132 49.0 6.6 S14 21.2 8.8 60.3 |
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|S.D. 16.2 d 0.0 | S.D. 16.7 16.7 16.5 |
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