
2093 DEC. 19, 20, 21 (SAT, SUN, MON)
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| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
19 0 | 88 22.0 | 183 07.4 S21 34.1 | 132 57.8 S18 13.2 | 92 28.6 S 3 12.1 | 318 58.8 N18 55.8
1 | 103 24.5 | 198 11.4 S21 33.4 | 147 58.3 S18 12.7 | 107 30.9 S 3 12.0 | 334 01.4 N18 55.8
2 | 118 27.0 | 213 15.5 S21 32.7 | 162 58.8 S18 12.1 | 122 33.1 S 3 11.9 | 349 04.0 N18 55.9
3 | 133 29.4 | 228 19.6 S21 32.0 | 177 59.3 S18 11.5 | 137 35.3 S 3 11.8 | 4 06.6 N18 55.9
4 | 148 31.9 | 243 23.6 S21 31.4 | 192 59.8 S18 10.9 | 152 37.6 S 3 11.7 | 19 09.2 N18 56.0
S 5 | 163 34.4 | 258 27.7 S21 30.7 | 208 00.3 S18 10.4 | 167 39.8 S 3 11.6 | 34 11.8 N18 56.0
A
T 6 | 178 36.8 | 273 31.7 S21 30.0 | 223 00.8 S18 09.8 | 182 42.0 S 3 11.5 | 49 14.4 N18 56.0
U 7 | 193 39.3 | 288 35.8 S21 29.3 | 238 01.3 S18 09.2 | 197 44.3 S 3 11.4 | 64 17.0 N18 56.1
R 8 | 208 41.7 | 303 39.8 S21 28.6 | 253 01.8 S18 08.6 | 212 46.5 S 3 11.3 | 79 19.6 N18 56.1
D 9 | 223 44.2 | 318 43.9 S21 28.0 | 268 02.3 S18 08.1 | 227 48.7 S 3 11.1 | 94 22.2 N18 56.2
A 10 | 238 46.7 | 333 48.0 S21 27.3 | 283 02.8 S18 07.5 | 242 51.0 S 3 11.0 | 109 24.8 N18 56.2
Y 11 | 253 49.1 | 348 52.0 S21 26.6 | 298 03.3 S18 06.9 | 257 53.2 S 3 10.9 | 124 27.4 N18 56.2
12 | 268 51.6 | 3 56.1 S21 25.9 | 313 03.8 S18 06.3 | 272 55.4 S 3 10.8 | 139 30.0 N18 56.3
13 | 283 54.1 | 19 00.1 S21 25.3 | 328 04.3 S18 05.8 | 287 57.7 S 3 10.7 | 154 32.6 N18 56.3
14 | 298 56.5 | 34 04.1 S21 24.6 | 343 04.8 S18 05.2 | 302 59.9 S 3 10.6 | 169 35.2 N18 56.4
15 | 313 59.0 | 49 08.2 S21 23.9 | 358 05.4 S18 04.6 | 318 02.1 S 3 10.5 | 184 37.8 N18 56.4
16 | 329 01.5 | 64 12.2 S21 23.2 | 13 05.9 S18 04.0 | 333 04.3 S 3 10.4 | 199 40.4 N18 56.4
17 | 344 03.9 | 79 16.3 S21 22.6 | 28 06.4 S18 03.5 | 348 06.6 S 3 10.2 | 214 43.0 N18 56.5
18 | 359 06.4 | 94 20.3 S21 21.9 | 43 06.9 S18 02.9 | 3 08.8 S 3 10.1 | 229 45.6 N18 56.5
19 | 14 08.8 | 109 24.4 S21 21.2 | 58 07.4 S18 02.3 | 18 11.0 S 3 10.0 | 244 48.2 N18 56.6
20 | 29 11.3 | 124 28.4 S21 20.5 | 73 07.9 S18 01.7 | 33 13.3 S 3 09.9 | 259 50.8 N18 56.6
21 | 44 13.8 | 139 32.4 S21 19.8 | 88 08.4 S18 01.1 | 48 15.5 S 3 09.8 | 274 53.4 N18 56.6
22 | 59 16.2 | 154 36.5 S21 19.2 | 103 08.9 S18 00.6 | 63 17.7 S 3 09.7 | 289 56.0 N18 56.7
23 | 74 18.7 | 169 40.5 S21 18.5 | 118 09.4 S17 60.0 | 78 19.9 S 3 09.6 | 304 58.6 N18 56.7
------+----------+-------------------+-------------------+-------------------+--------------------
20 0 | 89 21.2 | 184 44.6 S21 17.8 | 133 09.9 S17 59.4 | 93 22.2 S 3 09.5 | 320 01.2 N18 56.8
1 | 104 23.6 | 199 48.6 S21 17.2 | 148 10.4 S17 58.8 | 108 24.4 S 3 09.3 | 335 03.8 N18 56.8
2 | 119 26.1 | 214 52.6 S21 16.5 | 163 10.9 S17 58.2 | 123 26.6 S 3 09.2 | 350 06.5 N18 56.8
3 | 134 28.6 | 229 56.7 S21 15.8 | 178 11.4 S17 57.7 | 138 28.9 S 3 09.1 | 5 09.1 N18 56.9
4 | 149 31.0 | 245 00.7 S21 15.1 | 193 11.9 S17 57.1 | 153 31.1 S 3 09.0 | 20 11.7 N18 56.9
S 5 | 164 33.5 | 260 04.7 S21 14.5 | 208 12.4 S17 56.5 | 168 33.3 S 3 08.9 | 35 14.3 N18 57.0
U
N 6 | 179 36.0 | 275 08.7 S21 13.8 | 223 13.0 S17 55.9 | 183 35.5 S 3 08.8 | 50 16.9 N18 57.0
D 7 | 194 38.4 | 290 12.8 S21 13.1 | 238 13.5 S17 55.3 | 198 37.8 S 3 08.7 | 65 19.5 N18 57.0
A 8 | 209 40.9 | 305 16.8 S21 12.4 | 253 14.0 S17 54.7 | 213 40.0 S 3 08.6 | 80 22.1 N18 57.1
Y 9 | 224 43.3 | 320 20.8 S21 11.8 | 268 14.5 S17 54.2 | 228 42.2 S 3 08.4 | 95 24.7 N18 57.1
10 | 239 45.8 | 335 24.8 S21 11.1 | 283 15.0 S17 53.6 | 243 44.4 S 3 08.3 | 110 27.3 N18 57.2
11 | 254 48.3 | 350 28.8 S21 10.4 | 298 15.5 S17 53.0 | 258 46.7 S 3 08.2 | 125 29.9 N18 57.2
12 | 269 50.7 | 5 32.9 S21 09.8 | 313 16.0 S17 52.4 | 273 48.9 S 3 08.1 | 140 32.5 N18 57.2
13 | 284 53.2 | 20 36.9 S21 09.1 | 328 16.5 S17 51.8 | 288 51.1 S 3 08.0 | 155 35.1 N18 57.3
14 | 299 55.7 | 35 40.9 S21 08.4 | 343 17.0 S17 51.2 | 303 53.3 S 3 07.9 | 170 37.7 N18 57.3
15 | 314 58.1 | 50 44.9 S21 07.8 | 358 17.5 S17 50.7 | 318 55.6 S 3 07.8 | 185 40.3 N18 57.4
16 | 330 00.6 | 65 48.9 S21 07.1 | 13 18.0 S17 50.1 | 333 57.8 S 3 07.6 | 200 42.9 N18 57.4
17 | 345 03.1 | 80 52.9 S21 06.4 | 28 18.5 S17 49.5 | 349 00.0 S 3 07.5 | 215 45.5 N18 57.4
18 | 0 05.5 | 95 56.9 S21 05.8 | 43 19.1 S17 48.9 | 4 02.2 S 3 07.4 | 230 48.1 N18 57.5
19 | 15 08.0 | 111 00.9 S21 05.1 | 58 19.6 S17 48.3 | 19 04.5 S 3 07.3 | 245 50.8 N18 57.5
20 | 30 10.5 | 126 04.9 S21 04.4 | 73 20.1 S17 47.7 | 34 06.7 S 3 07.2 | 260 53.4 N18 57.6
21 | 45 12.9 | 141 08.9 S21 03.8 | 88 20.6 S17 47.1 | 49 08.9 S 3 07.1 | 275 56.0 N18 57.6
22 | 60 15.4 | 156 12.9 S21 03.1 | 103 21.1 S17 46.6 | 64 11.1 S 3 07.0 | 290 58.6 N18 57.7
23 | 75 17.8 | 171 16.9 S21 02.4 | 118 21.6 S17 46.0 | 79 13.4 S 3 06.8 | 306 01.2 N18 57.7
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21 0 | 90 20.3 | 186 20.9 S21 01.8 | 133 22.1 S17 45.4 | 94 15.6 S 3 06.7 | 321 03.8 N18 57.7
1 | 105 22.8 | 201 24.9 S21 01.1 | 148 22.6 S17 44.8 | 109 17.8 S 3 06.6 | 336 06.4 N18 57.8
2 | 120 25.2 | 216 28.9 S21 00.4 | 163 23.1 S17 44.2 | 124 20.0 S 3 06.5 | 351 09.0 N18 57.8
3 | 135 27.7 | 231 32.9 S20 59.8 | 178 23.7 S17 43.6 | 139 22.2 S 3 06.4 | 6 11.6 N18 57.9
4 | 150 30.2 | 246 36.9 S20 59.1 | 193 24.2 S17 43.0 | 154 24.5 S 3 06.3 | 21 14.2 N18 57.9
M 5 | 165 32.6 | 261 40.9 S20 58.4 | 208 24.7 S17 42.4 | 169 26.7 S 3 06.1 | 36 16.8 N18 57.9
O
N 6 | 180 35.1 | 276 44.9 S20 57.8 | 223 25.2 S17 41.8 | 184 28.9 S 3 06.0 | 51 19.4 N18 58.0
D 7 | 195 37.6 | 291 48.9 S20 57.1 | 238 25.7 S17 41.3 | 199 31.1 S 3 05.9 | 66 22.0 N18 58.0
A 8 | 210 40.0 | 306 52.9 S20 56.5 | 253 26.2 S17 40.7 | 214 33.3 S 3 05.8 | 81 24.7 N18 58.1
Y 9 | 225 42.5 | 321 56.8 S20 55.8 | 268 26.7 S17 40.1 | 229 35.6 S 3 05.7 | 96 27.3 N18 58.1
10 | 240 45.0 | 337 00.8 S20 55.1 | 283 27.2 S17 39.5 | 244 37.8 S 3 05.6 | 111 29.9 N18 58.1
11 | 255 47.4 | 352 04.8 S20 54.5 | 298 27.8 S17 38.9 | 259 40.0 S 3 05.4 | 126 32.5 N18 58.2
12 | 270 49.9 | 7 08.8 S20 53.8 | 313 28.3 S17 38.3 | 274 42.2 S 3 05.3 | 141 35.1 N18 58.2
13 | 285 52.3 | 22 12.7 S20 53.2 | 328 28.8 S17 37.7 | 289 44.4 S 3 05.2 | 156 37.7 N18 58.3
14 | 300 54.8 | 37 16.7 S20 52.5 | 343 29.3 S17 37.1 | 304 46.6 S 3 05.1 | 171 40.3 N18 58.3
15 | 315 57.3 | 52 20.7 S20 51.8 | 358 29.8 S17 36.5 | 319 48.9 S 3 05.0 | 186 42.9 N18 58.4
16 | 330 59.7 | 67 24.7 S20 51.2 | 13 30.3 S17 35.9 | 334 51.1 S 3 04.9 | 201 45.5 N18 58.4
17 | 346 02.2 | 82 28.6 S20 50.5 | 28 30.8 S17 35.3 | 349 53.3 S 3 04.7 | 216 48.1 N18 58.4
18 | 1 04.7 | 97 32.6 S20 49.9 | 43 31.4 S17 34.7 | 4 55.5 S 3 04.6 | 231 50.8 N18 58.5
19 | 16 07.1 | 112 36.5 S20 49.2 | 58 31.9 S17 34.1 | 19 57.7 S 3 04.5 | 246 53.4 N18 58.5
20 | 31 09.6 | 127 40.5 S20 48.6 | 73 32.4 S17 33.6 | 34 59.9 S 3 04.4 | 261 56.0 N18 58.6
21 | 46 12.1 | 142 44.5 S20 47.9 | 88 32.9 S17 33.0 | 50 02.2 S 3 04.3 | 276 58.6 N18 58.6
22 | 61 14.5 | 157 48.4 S20 47.3 | 103 33.4 S17 32.4 | 65 04.4 S 3 04.1 | 292 01.2 N18 58.6
23 | 76 17.0 | 172 52.4 S20 46.6 | 118 33.9 S17 31.8 | 80 06.6 S 3 04.0 | 307 03.8 N18 58.7
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| v 4.0 d 0.7 | v 0.5 d 0.6 | v 2.2 d 0.1 | v 2.6 d 0.0
2093 DEC. 19, 20, 21 (SAT, SUN, MON)
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| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
19 0 | 180 44.5 S23 24.5 | 170 36.0 3.0 S22 21.2 1.5 60.8 | Acamar 314 32.4 S39 56.2
1 | 195 44.1 S23 24.5 | 184 58.0 3.0 S22 22.5 1.3 60.8 | Achernar 334 41.8 S56 46.1
2 | 210 43.8 S23 24.6 | 199 20.0 3.0 S22 23.6 1.1 60.8 | Acrux 172 02.0 S63 36.7
3 | 225 43.5 S23 24.6 | 213 41.9 3.0 S22 24.6 1.0 60.8 | Adhara 254 24.9 S29 06.2
4 | 240 43.2 S23 24.7 | 228 03.9 2.9 S22 25.4 0.8 60.8 | Albireo 66 22.8 N28 09.7
S 5 | 255 42.9 S23 24.7 | 242 25.8 2.9 S22 26.0 0.6 60.8 |
A | | | Aldebaran 289 40.1 N16 41.5
T 6 | 270 42.6 S23 24.7 | 256 47.7 2.9 S22 26.5 0.5 60.8 | Alioth 165 28.2 N55 26.9
U 7 | 285 42.3 S23 24.8 | 271 09.6 2.9 S22 26.8 0.3 60.8 | Alkaid 152 11.9 N48 50.7
R 8 | 300 42.0 S23 24.8 | 285 31.5 2.9 S22 26.9 0.1 60.8 | Al Na-ir 26 28.7 S46 30.5
D 9 | 315 41.7 S23 24.8 | 299 53.4 2.9 S22 26.8 0.0 60.8 | Alnilam 274 45.0 S 1 08.9
A 10 | 330 41.4 S23 24.9 | 314 15.2 2.9 S22 26.6 0.2 60.8 |
Y 11 | 345 41.1 S23 24.9 | 328 37.1 2.9 S22 26.2 0.4 60.8 | Alphard 216 56.9 S 9 04.1
| | | Alphecca 125 20.4 N26 24.1
12 | 0 40.7 S23 24.9 | 342 59.0 2.9 S22 25.7 0.6 60.8 | Alpheratz 356 41.3 N29 36.6
13 | 15 40.4 S23 25.0 | 357 20.9 2.9 S22 25.0 0.7 60.8 | Altair 61 10.0 N 9 07.3
14 | 30 40.1 S23 25.0 | 11 42.8 2.9 S22 24.1 0.9 60.9 | Ankaa 352 16.5 S41 48.2
15 | 45 39.8 S23 25.0 | 26 04.6 2.9 S22 23.0 1.1 60.9 |
16 | 60 39.5 S23 25.1 | 40 26.6 2.9 S22 21.8 1.2 60.9 | Antares 111 12.9 S26 37.9
17 | 75 39.2 S23 25.1 | 54 48.5 2.9 S22 20.4 1.4 60.9 | Arcturus 145 01.2 N18 41.8
| | | Atria 105 21.3 S69 11.2
18 | 90 38.9 S23 25.1 | 69 10.4 2.9 S22 18.8 1.6 60.9 | Avior 233 52.9 S59 48.6
19 | 105 38.6 S23 25.1 | 83 32.3 2.9 S22 17.1 1.7 60.9 | Bellatrix 277 27.2 N 6 25.7
20 | 120 38.3 S23 25.2 | 97 54.3 3.0 S22 15.2 1.9 60.9 |
21 | 135 38.0 S23 25.2 | 112 16.3 3.0 S22 13.1 2.1 60.9 | Betelgeuse 269 55.9 N 7 25.1
22 | 150 37.6 S23 25.2 | 126 38.3 3.0 S22 10.9 2.2 60.9 | Canopus 263 28.8 S52 45.0
23 | 165 37.3 S23 25.2 | 141 00.4 3.0 S22 08.5 2.4 60.9 | Capella 279 05.2 N46 05.1
------+-------------------+----------------------------------| Castor 244 51.1 N31 40.5
20 0 | 180 37.0 S23 25.3 | 155 22.4 3.1 S22 05.9 2.6 60.8 | Deneb 48 50.9 N45 37.3
1 | 195 36.7 S23 25.3 | 169 44.5 3.1 S22 03.2 2.7 60.8 |
2 | 210 36.4 S23 25.3 | 184 06.7 3.1 S22 00.3 2.9 60.8 | Denebola 181 32.5 N14 02.8
3 | 225 36.1 S23 25.3 | 198 28.8 3.2 S21 57.2 3.1 60.8 | Diphda 347 55.6 S17 28.5
4 | 240 35.8 S23 25.3 | 212 51.0 3.2 S21 54.0 3.2 60.8 | Dubhe 192 38.2 N61 14.3
S 5 | 255 35.5 S23 25.4 | 227 13.3 3.2 S21 50.6 3.4 60.8 | Elnath 276 56.3 N28 40.7
U | | | Eltanin 90 18.8 N51 28.8
N 6 | 270 35.2 S23 25.4 | 241 35.6 3.3 S21 47.1 3.5 60.8 |
D 7 | 285 34.9 S23 25.4 | 255 57.9 3.3 S21 43.4 3.7 60.8 | Enif 32 48.3 N10 18.5
A 8 | 300 34.5 S23 25.4 | 270 20.3 3.4 S21 39.5 3.9 60.8 | Fomalhaut 14 17.9 S29 07.6
Y 9 | 315 34.2 S23 25.4 | 284 42.7 3.4 S21 35.5 4.0 60.8 | Gacrux 170 53.9 S57 37.9
10 | 330 33.9 S23 25.4 | 299 05.2 3.5 S21 31.3 4.2 60.8 | Gienah 174 50.5 S18 03.5
11 | 345 33.6 S23 25.5 | 313 27.7 3.5 S21 27.0 4.3 60.8 | Hadar 147 22.8 S60 49.0
| | |
12 | 0 33.3 S23 25.5 | 327 50.3 3.6 S21 22.5 4.5 60.8 | Hamal 326 52.7 N23 54.2
13 | 15 33.0 S23 25.5 | 342 12.9 3.6 S21 17.8 4.6 60.8 | Kaus Austr. 82 24.6 S34 20.0
14 | 30 32.7 S23 25.5 | 356 35.6 3.7 S21 13.0 4.8 60.8 | Kochab 137 23.4 N73 46.2
15 | 45 32.4 S23 25.5 | 10 58.4 3.7 S21 08.1 5.0 60.8 | Markab 12 38.6 N15 42.7
16 | 60 32.1 S23 25.5 | 25 21.2 3.8 S21 03.0 5.1 60.7 | Menkar 313 11.9 N 4 27.2
17 | 75 31.8 S23 25.5 | 39 44.1 3.9 S20 57.7 5.3 60.7 |
| | | Menkent 146 56.9 S36 49.5
18 | 90 31.4 S23 25.5 | 54 07.0 3.9 S20 52.3 5.4 60.7 | Miaplacidus 221 26.1 S70 06.0
19 | 105 31.1 S23 25.5 | 68 30.0 4.0 S20 46.8 5.6 60.7 | Mirfak 307 13.8 N50 11.5
20 | 120 30.8 S23 25.6 | 82 53.1 4.1 S20 41.1 5.7 60.7 | Nunki 74 44.3 S26 10.4
21 | 135 30.5 S23 25.6 | 97 16.2 4.1 S20 35.2 5.9 60.7 | Peacock 51 45.3 S56 25.9
22 | 150 30.2 S23 25.6 | 111 39.4 4.2 S20 29.2 6.0 60.7 |
23 | 165 29.9 S23 25.6 | 126 02.7 4.3 S20 23.1 6.1 60.7 | Polaris 298 37.8 N89 40.2
------+-------------------+----------------------------------| Pollux 242 14.1 N27 47.5
21 0 | 180 29.6 S23 25.6 | 140 26.0 4.4 S20 16.8 6.3 60.6 | Procyon 243 56.6 N 4 58.7
1 | 195 29.3 S23 25.6 | 154 49.5 4.4 S20 10.4 6.4 60.6 | Rasalhague 95 11.1 N12 29.9
2 | 210 29.0 S23 25.6 | 169 13.0 4.5 S20 03.8 6.6 60.6 | Regulus 206 39.5 N11 30.3
3 | 225 28.6 S23 25.6 | 183 36.5 4.6 S19 57.1 6.7 60.6 |
4 | 240 28.3 S23 25.6 | 198 00.2 4.7 S19 50.3 6.8 60.6 | Rigel 280 14.0 S 8 06.0
M 5 | 255 28.0 S23 25.6 | 212 23.9 4.7 S19 43.3 7.0 60.6 | Rigil Kent 138 30.2 S61 12.8
O | | | Sabik 101 04.0 S15 50.1
N 6 | 270 27.7 S23 25.6 | 226 47.7 4.8 S19 36.2 7.1 60.6 | Schedar 348 31.7 N57 03.2
D 7 | 285 27.4 S23 25.6 | 241 11.6 4.9 S19 28.9 7.2 60.5 | Shaula 95 00.8 S37 09.9
A 8 | 300 27.1 S23 25.6 | 255 35.6 5.0 S19 21.6 7.4 60.5 |
Y 9 | 315 26.8 S23 25.6 | 269 59.6 5.1 S19 14.1 7.5 60.5 | Sirius 257 40.5 S16 51.0
10 | 330 26.5 S23 25.6 | 284 23.8 5.1 S19 06.4 7.6 60.5 | Spica 157 28.0 S11 38.8
11 | 345 26.2 S23 25.6 | 298 48.0 5.2 S18 58.7 7.8 60.5 | Suhail 222 07.9 S43 48.6
| | | Vega 79 58.7 N38 52.5
12 | 0 25.8 S23 25.5 | 313 12.3 5.3 S18 50.8 7.9 60.5 | Zuben-ubi 136 01.7 S16 25.5
13 | 15 25.5 S23 25.5 | 327 36.7 5.4 S18 42.8 8.0 60.4 |
14 | 30 25.2 S23 25.5 | 342 01.2 5.5 S18 34.7 8.1 60.4 |
15 | 45 24.9 S23 25.5 | 356 25.8 5.6 S18 26.4 8.2 60.4 |
16 | 60 24.6 S23 25.5 | 10 50.4 5.7 S18 18.1 8.4 60.4 |
17 | 75 24.3 S23 25.5 | 25 15.2 5.7 S18 09.6 8.5 60.4 |
| | |
18 | 90 24.0 S23 25.5 | 39 40.0 5.8 S18 01.0 8.6 60.3 |
19 | 105 23.7 S23 25.5 | 54 04.9 5.9 S17 52.3 8.7 60.3 |
20 | 120 23.4 S23 25.5 | 68 29.9 6.0 S17 43.4 8.8 60.3 |
21 | 135 23.1 S23 25.4 | 82 55.1 6.1 S17 34.5 8.9 60.3 |
22 | 150 22.7 S23 25.4 | 97 20.3 6.2 S17 25.5 9.0 60.3 |
23 | 165 22.4 S23 25.4 | 111 45.5 6.3 S17 16.3 9.2 60.2 |
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|S.D. 16.3 d 0.0 | S.D. 16.6 16.6 16.5 |
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