
2050 DEC. 29, 30, 31 (THU, FRI, SAT)
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| ARIES | VENUS | MARS | JUPITER | SATURN
------+----------+-------------------+-------------------+-------------------+--------------------
G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
29 0 | 97 39.2 | 228 36.7 S14 48.0 | 94 19.1 N 1 15.3 | 299 41.6 N10 21.7 | 147 37.2 S19 01.2
1 | 112 41.6 | 243 36.6 S14 48.7 | 109 20.2 N 1 16.0 | 314 44.1 N10 21.8 | 162 39.4 S19 01.1
2 | 127 44.1 | 258 36.5 S14 49.3 | 124 21.2 N 1 16.7 | 329 46.6 N10 21.8 | 177 41.6 S19 01.0
3 | 142 46.6 | 273 36.4 S14 50.0 | 139 22.2 N 1 17.4 | 344 49.2 N10 21.8 | 192 43.8 S19 01.0
4 | 157 49.0 | 288 36.2 S14 50.6 | 154 23.3 N 1 18.1 | 359 51.7 N10 21.9 | 207 45.9 S19 00.9
T 5 | 172 51.5 | 303 36.1 S14 51.3 | 169 24.3 N 1 18.8 | 14 54.2 N10 21.9 | 222 48.1 S19 00.8
H
U 6 | 187 54.0 | 318 36.0 S14 51.9 | 184 25.3 N 1 19.5 | 29 56.7 N10 21.9 | 237 50.3 S19 00.7
R 7 | 202 56.4 | 333 35.9 S14 52.6 | 199 26.3 N 1 20.1 | 44 59.2 N10 22.0 | 252 52.5 S19 00.7
S 8 | 217 58.9 | 348 35.8 S14 53.2 | 214 27.4 N 1 20.8 | 60 01.7 N10 22.0 | 267 54.7 S19 00.6
D 9 | 233 01.4 | 3 35.7 S14 53.9 | 229 28.4 N 1 21.5 | 75 04.3 N10 22.0 | 282 56.9 S19 00.5
A 10 | 248 03.8 | 18 35.6 S14 54.5 | 244 29.4 N 1 22.2 | 90 06.8 N10 22.1 | 297 59.0 S19 00.5
Y 11 | 263 06.3 | 33 35.5 S14 55.2 | 259 30.4 N 1 22.9 | 105 09.3 N10 22.1 | 313 01.2 S19 00.4
12 | 278 08.7 | 48 35.3 S14 55.8 | 274 31.5 N 1 23.6 | 120 11.8 N10 22.1 | 328 03.4 S19 00.3
13 | 293 11.2 | 63 35.2 S14 56.5 | 289 32.5 N 1 24.3 | 135 14.3 N10 22.2 | 343 05.6 S19 00.3
14 | 308 13.7 | 78 35.1 S14 57.1 | 304 33.5 N 1 24.9 | 150 16.9 N10 22.2 | 358 07.8 S19 00.2
15 | 323 16.1 | 93 35.0 S14 57.8 | 319 34.6 N 1 25.6 | 165 19.4 N10 22.2 | 13 10.0 S19 00.1
16 | 338 18.6 | 108 34.9 S14 58.4 | 334 35.6 N 1 26.3 | 180 21.9 N10 22.3 | 28 12.2 S19 00.1
17 | 353 21.1 | 123 34.8 S14 59.1 | 349 36.6 N 1 27.0 | 195 24.4 N10 22.3 | 43 14.3 S18 60.0
18 | 8 23.5 | 138 34.6 S14 59.7 | 4 37.6 N 1 27.7 | 210 27.0 N10 22.3 | 58 16.5 S18 59.9
19 | 23 26.0 | 153 34.5 S15 00.4 | 19 38.7 N 1 28.4 | 225 29.5 N10 22.4 | 73 18.7 S18 59.9
20 | 38 28.5 | 168 34.4 S15 01.0 | 34 39.7 N 1 29.1 | 240 32.0 N10 22.4 | 88 20.9 S18 59.8
21 | 53 30.9 | 183 34.3 S15 01.7 | 49 40.7 N 1 29.8 | 255 34.5 N10 22.4 | 103 23.1 S18 59.7
22 | 68 33.4 | 198 34.1 S15 02.3 | 64 41.7 N 1 30.4 | 270 37.0 N10 22.5 | 118 25.3 S18 59.7
23 | 83 35.9 | 213 34.0 S15 03.0 | 79 42.8 N 1 31.1 | 285 39.6 N10 22.5 | 133 27.4 S18 59.6
------+----------+-------------------+-------------------+-------------------+--------------------
30 0 | 98 38.3 | 228 33.9 S15 03.6 | 94 43.8 N 1 31.8 | 300 42.1 N10 22.5 | 148 29.6 S18 59.5
1 | 113 40.8 | 243 33.8 S15 04.3 | 109 44.8 N 1 32.5 | 315 44.6 N10 22.6 | 163 31.8 S18 59.5
2 | 128 43.2 | 258 33.6 S15 04.9 | 124 45.8 N 1 33.2 | 330 47.1 N10 22.6 | 178 34.0 S18 59.4
3 | 143 45.7 | 273 33.5 S15 05.6 | 139 46.9 N 1 33.9 | 345 49.7 N10 22.7 | 193 36.2 S18 59.3
4 | 158 48.2 | 288 33.4 S15 06.2 | 154 47.9 N 1 34.6 | 0 52.2 N10 22.7 | 208 38.4 S18 59.2
F 5 | 173 50.6 | 303 33.2 S15 06.9 | 169 48.9 N 1 35.2 | 15 54.7 N10 22.7 | 223 40.5 S18 59.2
R
I 6 | 188 53.1 | 318 33.1 S15 07.5 | 184 49.9 N 1 35.9 | 30 57.3 N10 22.8 | 238 42.7 S18 59.1
D 7 | 203 55.6 | 333 33.0 S15 08.2 | 199 51.0 N 1 36.6 | 45 59.8 N10 22.8 | 253 44.9 S18 59.0
A 8 | 218 58.0 | 348 32.9 S15 08.8 | 214 52.0 N 1 37.3 | 61 02.3 N10 22.8 | 268 47.1 S18 59.0
Y 9 | 234 00.5 | 3 32.7 S15 09.4 | 229 53.0 N 1 38.0 | 76 04.8 N10 22.9 | 283 49.3 S18 58.9
10 | 249 03.0 | 18 32.6 S15 10.1 | 244 54.0 N 1 38.7 | 91 07.4 N10 22.9 | 298 51.5 S18 58.8
11 | 264 05.4 | 33 32.4 S15 10.7 | 259 55.1 N 1 39.4 | 106 09.9 N10 22.9 | 313 53.6 S18 58.8
12 | 279 07.9 | 48 32.3 S15 11.4 | 274 56.1 N 1 40.1 | 121 12.4 N10 23.0 | 328 55.8 S18 58.7
13 | 294 10.4 | 63 32.2 S15 12.0 | 289 57.1 N 1 40.7 | 136 14.9 N10 23.0 | 343 58.0 S18 58.6
14 | 309 12.8 | 78 32.0 S15 12.7 | 304 58.1 N 1 41.4 | 151 17.5 N10 23.1 | 359 00.2 S18 58.6
15 | 324 15.3 | 93 31.9 S15 13.3 | 319 59.2 N 1 42.1 | 166 20.0 N10 23.1 | 14 02.4 S18 58.5
16 | 339 17.7 | 108 31.8 S15 14.0 | 335 00.2 N 1 42.8 | 181 22.5 N10 23.1 | 29 04.6 S18 58.4
17 | 354 20.2 | 123 31.6 S15 14.6 | 350 01.2 N 1 43.5 | 196 25.1 N10 23.2 | 44 06.7 S18 58.4
18 | 9 22.7 | 138 31.5 S15 15.3 | 5 02.2 N 1 44.2 | 211 27.6 N10 23.2 | 59 08.9 S18 58.3
19 | 24 25.1 | 153 31.3 S15 15.9 | 20 03.3 N 1 44.9 | 226 30.1 N10 23.2 | 74 11.1 S18 58.2
20 | 39 27.6 | 168 31.2 S15 16.6 | 35 04.3 N 1 45.5 | 241 32.7 N10 23.3 | 89 13.3 S18 58.1
21 | 54 30.1 | 183 31.0 S15 17.2 | 50 05.3 N 1 46.2 | 256 35.2 N10 23.3 | 104 15.5 S18 58.1
22 | 69 32.5 | 198 30.9 S15 17.8 | 65 06.3 N 1 46.9 | 271 37.7 N10 23.4 | 119 17.6 S18 58.0
23 | 84 35.0 | 213 30.8 S15 18.5 | 80 07.4 N 1 47.6 | 286 40.2 N10 23.4 | 134 19.8 S18 57.9
------+----------+-------------------+-------------------+-------------------+--------------------
31 0 | 99 37.5 | 228 30.6 S15 19.1 | 95 08.4 N 1 48.3 | 301 42.8 N10 23.4 | 149 22.0 S18 57.9
1 | 114 39.9 | 243 30.5 S15 19.8 | 110 09.4 N 1 49.0 | 316 45.3 N10 23.5 | 164 24.2 S18 57.8
2 | 129 42.4 | 258 30.3 S15 20.4 | 125 10.4 N 1 49.7 | 331 47.8 N10 23.5 | 179 26.4 S18 57.7
3 | 144 44.9 | 273 30.2 S15 21.1 | 140 11.5 N 1 50.4 | 346 50.4 N10 23.5 | 194 28.6 S18 57.7
4 | 159 47.3 | 288 30.0 S15 21.7 | 155 12.5 N 1 51.0 | 1 52.9 N10 23.6 | 209 30.7 S18 57.6
S 5 | 174 49.8 | 303 29.9 S15 22.3 | 170 13.5 N 1 51.7 | 16 55.4 N10 23.6 | 224 32.9 S18 57.5
A
T 6 | 189 52.2 | 318 29.7 S15 23.0 | 185 14.5 N 1 52.4 | 31 58.0 N10 23.7 | 239 35.1 S18 57.5
U 7 | 204 54.7 | 333 29.6 S15 23.6 | 200 15.5 N 1 53.1 | 47 00.5 N10 23.7 | 254 37.3 S18 57.4
R 8 | 219 57.2 | 348 29.4 S15 24.3 | 215 16.6 N 1 53.8 | 62 03.1 N10 23.7 | 269 39.5 S18 57.3
D 9 | 234 59.6 | 3 29.2 S15 24.9 | 230 17.6 N 1 54.5 | 77 05.6 N10 23.8 | 284 41.7 S18 57.2
A 10 | 250 02.1 | 18 29.1 S15 25.6 | 245 18.6 N 1 55.2 | 92 08.1 N10 23.8 | 299 43.8 S18 57.2
Y 11 | 265 04.6 | 33 28.9 S15 26.2 | 260 19.6 N 1 55.8 | 107 10.7 N10 23.9 | 314 46.0 S18 57.1
12 | 280 07.0 | 48 28.8 S15 26.8 | 275 20.7 N 1 56.5 | 122 13.2 N10 23.9 | 329 48.2 S18 57.0
13 | 295 09.5 | 63 28.6 S15 27.5 | 290 21.7 N 1 57.2 | 137 15.7 N10 23.9 | 344 50.4 S18 57.0
14 | 310 12.0 | 78 28.5 S15 28.1 | 305 22.7 N 1 57.9 | 152 18.3 N10 24.0 | 359 52.6 S18 56.9
15 | 325 14.4 | 93 28.3 S15 28.8 | 320 23.7 N 1 58.6 | 167 20.8 N10 24.0 | 14 54.7 S18 56.8
16 | 340 16.9 | 108 28.1 S15 29.4 | 335 24.7 N 1 59.3 | 182 23.3 N10 24.1 | 29 56.9 S18 56.8
17 | 355 19.4 | 123 28.0 S15 30.0 | 350 25.8 N 1 60.0 | 197 25.9 N10 24.1 | 44 59.1 S18 56.7
18 | 10 21.8 | 138 27.8 S15 30.7 | 5 26.8 N 2 00.6 | 212 28.4 N10 24.1 | 60 01.3 S18 56.6
19 | 25 24.3 | 153 27.7 S15 31.3 | 20 27.8 N 2 01.3 | 227 31.0 N10 24.2 | 75 03.5 S18 56.6
20 | 40 26.7 | 168 27.5 S15 32.0 | 35 28.8 N 2 02.0 | 242 33.5 N10 24.2 | 90 05.6 S18 56.5
21 | 55 29.2 | 183 27.3 S15 32.6 | 50 29.8 N 2 02.7 | 257 36.0 N10 24.3 | 105 07.8 S18 56.4
22 | 70 31.7 | 198 27.2 S15 33.2 | 65 30.9 N 2 03.4 | 272 38.6 N10 24.3 | 120 10.0 S18 56.3
23 | 85 34.1 | 213 27.0 S15 33.9 | 80 31.9 N 2 04.1 | 287 41.1 N10 24.3 | 135 12.2 S18 56.3
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| v -0.1 d 0.6 | v 1.0 d 0.7 | v 2.5 d 0.0 | v 2.2 d 0.1
2050 DEC. 29, 30, 31 (THU, FRI, SAT)
------+-------------------+----------------------------------+------------------------------
| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
29 0 | 179 33.1 S23 13.3 | 349 56.0 9.7 N17 43.9 5.0 56.6 | Acamar 314 56.7 S40 06.4
1 | 194 32.8 S23 13.2 | 4 24.8 9.8 N17 38.8 5.1 56.5 | Achernar 335 05.7 S56 59.0
2 | 209 32.5 S23 13.0 | 18 53.7 9.8 N17 33.5 5.2 56.5 | Acrux 172 37.5 S63 22.6
3 | 224 32.2 S23 12.9 | 33 22.6 9.9 N17 28.2 5.3 56.5 | Adhara 254 50.0 S29 02.8
4 | 239 31.9 S23 12.7 | 47 51.5 10.0 N17 22.9 5.4 56.5 | Albireo 66 48.5 N28 04.3
T 5 | 254 31.6 S23 12.6 | 62 20.6 10.0 N17 17.4 5.5 56.4 |
H | | | Aldebaran 290 16.7 N16 36.5
U 6 | 269 31.3 S23 12.4 | 76 49.7 10.1 N17 11.8 5.6 56.4 | Alioth 165 56.1 N55 40.7
R 7 | 284 31.0 S23 12.3 | 91 18.8 10.2 N17 06.2 5.6 56.4 | Alkaid 152 36.9 N49 03.3
S 8 | 299 30.7 S23 12.1 | 105 48.1 10.2 N17 00.5 5.7 56.4 | Al Na-ir 27 08.7 S46 42.8
D 9 | 314 30.4 S23 12.0 | 120 17.4 10.3 N16 54.6 5.8 56.3 | Alnilam 275 17.4 S 1 10.5
A 10 | 329 30.1 S23 11.8 | 134 46.7 10.4 N16 48.7 5.9 56.3 |
Y 11 | 344 29.8 S23 11.7 | 149 16.1 10.4 N16 42.8 6.0 56.3 | Alphard 217 28.1 S 8 53.0
| | | Alphecca 125 47.4 N26 32.6
12 | 359 29.5 S23 11.5 | 163 45.6 10.5 N16 36.7 6.1 56.3 | Alpheratz 357 14.3 N29 22.6
13 | 14 29.2 S23 11.4 | 178 15.2 10.5 N16 30.6 6.1 56.2 | Altair 61 41.1 N 9 00.5
14 | 29 28.9 S23 11.2 | 192 44.8 10.6 N16 24.3 6.2 56.2 | Ankaa 352 48.0 S42 02.0
15 | 44 28.6 S23 11.1 | 207 14.5 10.7 N16 18.0 6.3 56.2 |
16 | 59 28.3 S23 10.9 | 221 44.2 10.7 N16 11.7 6.4 56.2 | Antares 111 52.0 S26 32.4
17 | 74 28.0 S23 10.8 | 236 14.0 10.8 N16 05.2 6.5 56.1 | Arcturus 145 30.2 N18 55.0
| | | Atria 106 29.0 S69 06.7
18 | 89 27.7 S23 10.6 | 250 43.9 10.9 N15 58.7 6.5 56.1 | Avior 234 05.8 S59 40.5
19 | 104 27.4 S23 10.4 | 265 13.8 10.9 N15 52.1 6.6 56.1 | Bellatrix 278 01.4 N 6 23.4
20 | 119 27.1 S23 10.3 | 279 43.8 11.0 N15 45.4 6.7 56.1 |
21 | 134 26.7 S23 10.1 | 294 13.9 11.1 N15 38.6 6.8 56.0 | Betelgeuse 270 30.4 N 7 24.7
22 | 149 26.4 S23 10.0 | 308 44.1 11.1 N15 31.8 6.8 56.0 | Canopus 263 43.0 S52 43.7
23 | 164 26.1 S23 09.8 | 323 14.3 11.2 N15 24.9 6.9 56.0 | Capella 279 52.3 N46 02.7
------+-------------------+----------------------------------| Castor 245 31.7 N31 46.2
30 0 | 179 25.8 S23 09.6 | 337 44.5 11.3 N15 18.0 7.0 56.0 | Deneb 49 12.6 N45 28.1
1 | 194 25.5 S23 09.5 | 352 14.9 11.3 N15 10.9 7.0 56.0 |
2 | 209 25.2 S23 09.3 | 6 45.3 11.4 N15 03.8 7.1 55.9 | Denebola 182 04.9 N14 17.0
3 | 224 24.9 S23 09.2 | 21 15.7 11.5 N14 56.6 7.2 55.9 | Diphda 348 27.7 S17 42.5
4 | 239 24.6 S23 09.0 | 35 46.3 11.5 N14 49.4 7.2 55.9 | Dubhe 193 17.1 N61 28.1
F 5 | 254 24.3 S23 08.8 | 50 16.9 11.6 N14 42.1 7.3 55.9 | Elnath 277 36.6 N28 38.7
R | | | Eltanin 90 33.6 N51 29.1
I 6 | 269 24.0 S23 08.7 | 64 47.5 11.7 N14 34.7 7.4 55.8 |
D 7 | 284 23.7 S23 08.5 | 79 18.3 11.7 N14 27.3 7.4 55.8 | Enif 33 19.6 N10 06.8
A 8 | 299 23.4 S23 08.3 | 93 49.0 11.8 N14 19.8 7.5 55.8 | Fomalhaut 14 53.1 S29 21.1
Y 9 | 314 23.2 S23 08.2 | 108 19.9 11.9 N14 12.2 7.6 55.8 | Gacrux 171 29.3 S57 23.7
10 | 329 22.9 S23 08.0 | 122 50.8 11.9 N14 04.6 7.6 55.7 | Gienah 175 23.2 S17 49.5
11 | 344 22.6 S23 07.8 | 137 21.8 12.0 N13 56.9 7.7 55.7 | Hadar 148 08.0 S60 36.8
| | |
12 | 359 22.3 S23 07.6 | 151 52.8 12.0 N13 49.2 7.7 55.7 | Hamal 327 28.8 N23 42.3
13 | 14 22.0 S23 07.5 | 166 24.0 12.1 N13 41.4 7.8 55.7 | Kaus Austr. 83 06.9 S34 21.3
14 | 29 21.7 S23 07.3 | 180 55.1 12.2 N13 33.5 7.9 55.6 | Kochab 137 22.1 N73 56.6
15 | 44 21.4 S23 07.1 | 195 26.4 12.2 N13 25.6 7.9 55.6 | Markab 13 10.4 N15 29.0
16 | 59 21.1 S23 06.9 | 209 57.7 12.3 N13 17.6 8.0 55.6 | Menkar 313 45.3 N 4 17.2
17 | 74 20.8 S23 06.8 | 224 29.0 12.4 N13 09.6 8.0 55.6 |
| | | Menkent 147 34.4 S36 37.0
18 | 89 20.5 S23 06.6 | 239 00.5 12.4 N13 01.5 8.1 55.6 | Miaplacidus 221 32.7 S69 55.6
19 | 104 20.2 S23 06.4 | 253 31.9 12.5 N12 53.3 8.1 55.5 | Mirfak 307 59.5 N50 02.5
20 | 119 19.9 S23 06.2 | 268 03.5 12.5 N12 45.1 8.2 55.5 | Nunki 75 23.8 S26 13.7
21 | 134 19.6 S23 06.1 | 282 35.1 12.6 N12 36.9 8.2 55.5 | Peacock 52 35.5 S56 34.1
22 | 149 19.3 S23 05.9 | 297 06.8 12.7 N12 28.6 8.3 55.5 |
23 | 164 19.0 S23 05.7 | 311 38.5 12.7 N12 20.3 8.3 55.4 | Polaris 309 20.8 N89 28.8
------+-------------------+----------------------------------| Pollux 242 53.0 N27 53.8
31 0 | 179 18.7 S23 05.5 | 326 10.3 12.8 N12 11.9 8.4 55.4 | Procyon 244 29.9 N 5 05.3
1 | 194 18.4 S23 05.3 | 340 42.1 12.8 N12 03.4 8.4 55.4 | Rasalhague 95 40.7 N12 31.6
2 | 209 18.1 S23 05.2 | 355 14.0 12.9 N11 54.9 8.5 55.4 | Regulus 207 13.4 N11 42.8
3 | 224 17.8 S23 05.0 | 9 46.0 13.0 N11 46.4 8.5 55.4 |
4 | 239 17.5 S23 04.8 | 24 18.0 13.0 N11 37.8 8.6 55.3 | Rigel 280 44.6 S 8 08.9
S 5 | 254 17.2 S23 04.6 | 38 50.1 13.1 N11 29.2 8.6 55.3 | Rigil Kent 139 13.5 S61 02.3
A | | | Sabik 101 40.5 S15 47.0
T 6 | 269 16.9 S23 04.4 | 53 22.2 13.1 N11 20.5 8.7 55.3 | Schedar 349 08.1 N56 49.3
U 7 | 284 16.6 S23 04.2 | 67 54.4 13.2 N11 11.8 8.7 55.3 | Shaula 95 44.0 S37 08.1
R 8 | 299 16.3 S23 04.0 | 82 26.7 13.2 N11 03.0 8.8 55.2 |
D 9 | 314 16.0 S23 03.9 | 96 59.0 13.3 N10 54.2 8.8 55.2 | Sirius 258 08.5 S16 47.5
A 10 | 329 15.7 S23 03.7 | 111 31.3 13.4 N10 45.4 8.8 55.2 | Spica 158 01.6 S11 25.6
Y 11 | 344 15.4 S23 03.5 | 126 03.7 13.4 N10 36.5 8.9 55.2 | Suhail 222 31.3 S43 38.4
| | | Vega 80 20.3 N38 50.1
12 | 359 15.1 S23 03.3 | 140 36.2 13.5 N10 27.5 8.9 55.2 | Zuben-ubi 136 35.9 S16 15.0
13 | 14 14.8 S23 03.1 | 155 08.7 13.5 N10 18.6 9.0 55.1 |
14 | 29 14.5 S23 02.9 | 169 41.3 13.6 N10 09.6 9.0 55.1 |
15 | 44 14.2 S23 02.7 | 184 13.9 13.6 N10 00.5 9.0 55.1 |
16 | 59 13.9 S23 02.5 | 198 46.6 13.7 N 9 51.5 9.1 55.1 |
17 | 74 13.6 S23 02.3 | 213 19.3 13.7 N 9 42.4 9.1 55.1 |
| | |
18 | 89 13.3 S23 02.1 | 227 52.1 13.8 N 9 33.2 9.1 55.0 |
19 | 104 13.0 S23 01.9 | 242 25.0 13.8 N 9 24.0 9.2 55.0 |
20 | 119 12.7 S23 01.7 | 256 57.8 13.9 N 9 14.8 9.2 55.0 |
21 | 134 12.4 S23 01.5 | 271 30.8 13.9 N 9 05.6 9.2 55.0 |
22 | 149 12.1 S23 01.3 | 286 03.7 14.0 N 8 56.3 9.3 55.0 |
23 | 164 11.9 S23 01.1 | 300 36.8 14.0 N 8 47.0 9.3 54.9 |
------+-------------------+----------------------------------|
|S.D. 16.3 d 0.2 | S.D. 15.3 15.2 15.0 |
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