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- Thu Jun 24 11:33:31 2021
- Thu Jun 24 11:33:31 2021
- Thu Jun 24 11:33:31 2021 Msieve v. 1.53 (SVN unknown)
- Thu Jun 24 11:33:31 2021 random seeds: ed3cfea0 3246b018
- Thu Jun 24 11:33:31 2021 factoring 13722590741694950150749977565393763479875175126696998719123024684676193081635465141226072589122026643757557895201242317939281987981699165430122175451371777818049650902679751036184312239268169 (191 digits)
- Thu Jun 24 11:33:32 2021 searching for 15-digit factors
- Thu Jun 24 11:33:33 2021 commencing number field sieve (191-digit input)
- Thu Jun 24 11:33:33 2021 R0: -4175569023201610477430743076651843101
- Thu Jun 24 11:33:33 2021 R1: 9301402025178661764203
- Thu Jun 24 11:33:33 2021 A0: 110959553355656567543356858499151578955792060
- Thu Jun 24 11:33:33 2021 A1: -38940462646278760204606159044462028312
- Thu Jun 24 11:33:33 2021 A2: 7067916544661517449417744835111
- Thu Jun 24 11:33:33 2021 A3: 75597863525990589208009
- Thu Jun 24 11:33:33 2021 A4: -3827132791134024
- Thu Jun 24 11:33:33 2021 A5: 64864800
- Thu Jun 24 11:33:33 2021 skew 31007883.18, size 1.328e-18, alpha -8.680, combined = 2.105e-14 rroots = 1
- Thu Jun 24 11:33:33 2021
- Thu Jun 24 11:33:33 2021 commencing relation filtering
- Thu Jun 24 11:33:33 2021 setting target matrix density to 120.0
- Thu Jun 24 11:33:33 2021 estimated available RAM is 32721.3 MB
- Thu Jun 24 11:33:33 2021 commencing duplicate removal, pass 1
- Thu Jun 24 11:33:38 2021 error -9 reading relation 361683
- Thu Jun 24 11:33:38 2021 error -15 reading relation 361718
- Thu Jun 24 11:33:43 2021 error -9 reading relation 668068
- Thu Jun 24 11:34:13 2021 error -15 reading relation 2643140
- Thu Jun 24 11:34:21 2021 error -15 reading relation 3216751
- Thu Jun 24 11:34:31 2021 error -5 reading relation 3834838
- Thu Jun 24 11:34:50 2021 error -9 reading relation 5160277
- Thu Jun 24 11:34:51 2021 error -9 reading relation 5175222
- Thu Jun 24 11:35:10 2021 error -15 reading relation 6444257
- Thu Jun 24 11:35:14 2021 error -15 reading relation 6743254
- Thu Jun 24 11:35:23 2021 error -15 reading relation 7350390
- Thu Jun 24 12:38:53 2021 error -1 reading relation 260602939
- Thu Jun 24 12:38:53 2021 error -1 reading relation 260602940
- Thu Jun 24 12:38:59 2021 error -15 reading relation 260968250
- Thu Jun 24 12:38:59 2021 error -15 reading relation 260976350
- Thu Jun 24 12:38:59 2021 error -9 reading relation 260981382
- Thu Jun 24 12:39:00 2021 error -9 reading relation 261040472
- Thu Jun 24 12:39:03 2021 error -15 reading relation 261269253
- Thu Jun 24 12:39:06 2021 error -9 reading relation 261460444
- Thu Jun 24 12:39:32 2021 skipped 1 relations with b > 2^32
- Thu Jun 24 12:39:32 2021 skipped 382 relations with composite factors
- Thu Jun 24 12:39:32 2021 found 58358627 hash collisions in 263165549 relations
- Thu Jun 24 12:40:21 2021 added 121960 free relations
- Thu Jun 24 12:40:21 2021 commencing duplicate removal, pass 2
- Thu Jun 24 12:45:14 2021 found 61154283 duplicates and 202133226 unique relations
- Thu Jun 24 12:45:14 2021 memory use: 1449.5 MB
- Thu Jun 24 12:45:15 2021 reading ideals above 209911808
- Thu Jun 24 12:45:15 2021 commencing singleton removal, initial pass
- Thu Jun 24 13:22:46 2021 memory use: 3012.0 MB
- Thu Jun 24 13:22:46 2021 reading all ideals from disk
- Thu Jun 24 13:22:48 2021 memory use: 3558.5 MB
- Thu Jun 24 13:22:56 2021 commencing in-memory singleton removal
- Thu Jun 24 13:23:05 2021 begin with 202133226 relations and 160781777 unique ideals
- Thu Jun 24 13:24:36 2021 reduce to 145625104 relations and 99675907 ideals in 13 passes
- Thu Jun 24 13:24:36 2021 max relations containing the same ideal: 38
- Thu Jun 24 13:24:48 2021 reading ideals above 720000
- Thu Jun 24 13:24:49 2021 commencing singleton removal, initial pass
- Thu Jun 24 13:57:25 2021 memory use: 3012.0 MB
- Thu Jun 24 13:57:25 2021 reading all ideals from disk
- Thu Jun 24 13:57:47 2021 memory use: 6254.1 MB
- Thu Jun 24 13:58:09 2021 keeping 122059999 ideals with weight <= 200, target excess is 807016
- Thu Jun 24 13:58:32 2021 commencing in-memory singleton removal
- Thu Jun 24 13:58:47 2021 begin with 145625104 relations and 122059999 unique ideals
- Thu Jun 24 14:00:42 2021 reduce to 145568828 relations and 122003717 ideals in 7 passes
- Thu Jun 24 14:00:42 2021 max relations containing the same ideal: 200
- Thu Jun 24 14:01:59 2021 removing 10385215 relations and 8385215 ideals in 2000000 cliques
- Thu Jun 24 14:02:03 2021 commencing in-memory singleton removal
- Thu Jun 24 14:02:18 2021 begin with 135183613 relations and 122003717 unique ideals
- Thu Jun 24 14:04:05 2021 reduce to 134598351 relations and 113023020 ideals in 7 passes
- Thu Jun 24 14:04:05 2021 max relations containing the same ideal: 198
- Thu Jun 24 14:05:16 2021 removing 8064571 relations and 6064571 ideals in 2000000 cliques
- Thu Jun 24 14:05:19 2021 commencing in-memory singleton removal
- Thu Jun 24 14:05:33 2021 begin with 126533780 relations and 113023020 unique ideals
- Thu Jun 24 14:07:27 2021 reduce to 126132571 relations and 106550966 ideals in 8 passes
- Thu Jun 24 14:07:27 2021 max relations containing the same ideal: 192
- Thu Jun 24 14:08:34 2021 removing 7388008 relations and 5388008 ideals in 2000000 cliques
- Thu Jun 24 14:08:37 2021 commencing in-memory singleton removal
- Thu Jun 24 14:08:51 2021 begin with 118744563 relations and 106550966 unique ideals
- Thu Jun 24 14:10:37 2021 reduce to 118384431 relations and 100797207 ideals in 8 passes
- Thu Jun 24 14:10:37 2021 max relations containing the same ideal: 186
- Thu Jun 24 14:11:40 2021 removing 7060142 relations and 5060142 ideals in 2000000 cliques
- Thu Jun 24 14:11:43 2021 commencing in-memory singleton removal
- Thu Jun 24 14:11:55 2021 begin with 111324289 relations and 100797207 unique ideals
- Thu Jun 24 14:13:35 2021 reduce to 110975835 relations and 95383161 ideals in 8 passes
- Thu Jun 24 14:13:35 2021 max relations containing the same ideal: 178
- Thu Jun 24 14:14:33 2021 removing 6874513 relations and 4874513 ideals in 2000000 cliques
- Thu Jun 24 14:14:36 2021 commencing in-memory singleton removal
- Thu Jun 24 14:14:48 2021 begin with 104101322 relations and 95383161 unique ideals
- Thu Jun 24 14:16:07 2021 reduce to 103752649 relations and 90154406 ideals in 7 passes
- Thu Jun 24 14:16:07 2021 max relations containing the same ideal: 171
- Thu Jun 24 14:17:04 2021 removing 6771739 relations and 4771739 ideals in 2000000 cliques
- Thu Jun 24 14:17:06 2021 commencing in-memory singleton removal
- Thu Jun 24 14:17:17 2021 begin with 96980910 relations and 90154406 unique ideals
- Thu Jun 24 14:18:42 2021 reduce to 96622915 relations and 85018616 ideals in 8 passes
- Thu Jun 24 14:18:42 2021 max relations containing the same ideal: 165
- Thu Jun 24 14:19:34 2021 removing 6720809 relations and 4720809 ideals in 2000000 cliques
- Thu Jun 24 14:19:37 2021 commencing in-memory singleton removal
- Thu Jun 24 14:19:47 2021 begin with 89902106 relations and 85018616 unique ideals
- Thu Jun 24 14:20:57 2021 reduce to 89527675 relations and 79916688 ideals in 7 passes
- Thu Jun 24 14:20:57 2021 max relations containing the same ideal: 159
- Thu Jun 24 14:21:45 2021 removing 6715687 relations and 4715687 ideals in 2000000 cliques
- Thu Jun 24 14:21:47 2021 commencing in-memory singleton removal
- Thu Jun 24 14:21:56 2021 begin with 82811988 relations and 79916688 unique ideals
- Thu Jun 24 14:22:58 2021 reduce to 82411687 relations and 74792959 ideals in 7 passes
- Thu Jun 24 14:22:58 2021 max relations containing the same ideal: 147
- Thu Jun 24 14:23:44 2021 removing 6737781 relations and 4737781 ideals in 2000000 cliques
- Thu Jun 24 14:23:47 2021 commencing in-memory singleton removal
- Thu Jun 24 14:23:55 2021 begin with 75673906 relations and 74792959 unique ideals
- Thu Jun 24 14:25:00 2021 reduce to 75236458 relations and 69608784 ideals in 8 passes
- Thu Jun 24 14:25:00 2021 max relations containing the same ideal: 138
- Thu Jun 24 14:25:42 2021 removing 6802253 relations and 4802253 ideals in 2000000 cliques
- Thu Jun 24 14:25:45 2021 commencing in-memory singleton removal
- Thu Jun 24 14:25:52 2021 begin with 68434205 relations and 69608784 unique ideals
- Thu Jun 24 14:26:43 2021 reduce to 67950047 relations and 64311468 ideals in 7 passes
- Thu Jun 24 14:26:43 2021 max relations containing the same ideal: 129
- Thu Jun 24 14:27:21 2021 removing 6898740 relations and 4898740 ideals in 2000000 cliques
- Thu Jun 24 14:27:23 2021 commencing in-memory singleton removal
- Thu Jun 24 14:27:30 2021 begin with 61051307 relations and 64311468 unique ideals
- Thu Jun 24 14:28:21 2021 reduce to 60494450 relations and 58842102 ideals in 8 passes
- Thu Jun 24 14:28:21 2021 max relations containing the same ideal: 122
- Thu Jun 24 14:28:56 2021 removing 3088537 relations and 2372328 ideals in 716209 cliques
- Thu Jun 24 14:28:57 2021 commencing in-memory singleton removal
- Thu Jun 24 14:29:03 2021 begin with 57405913 relations and 58842102 unique ideals
- Thu Jun 24 14:29:40 2021 reduce to 57292069 relations and 56354754 ideals in 6 passes
- Thu Jun 24 14:29:40 2021 max relations containing the same ideal: 116
- Thu Jun 24 14:30:23 2021 relations with 0 large ideals: 2968
- Thu Jun 24 14:30:23 2021 relations with 1 large ideals: 3701
- Thu Jun 24 14:30:23 2021 relations with 2 large ideals: 59124
- Thu Jun 24 14:30:23 2021 relations with 3 large ideals: 504676
- Thu Jun 24 14:30:23 2021 relations with 4 large ideals: 2376889
- Thu Jun 24 14:30:23 2021 relations with 5 large ideals: 6837077
- Thu Jun 24 14:30:23 2021 relations with 6 large ideals: 12694757
- Thu Jun 24 14:30:23 2021 relations with 7+ large ideals: 34812877
- Thu Jun 24 14:30:23 2021 commencing 2-way merge
- Thu Jun 24 14:31:08 2021 reduce to 38579833 relation sets and 37642518 unique ideals
- Thu Jun 24 14:31:08 2021 commencing full merge
- Thu Jun 24 14:49:45 2021 memory use: 4921.7 MB
- Thu Jun 24 14:49:50 2021 found 17724654 cycles, need 17636718
- Thu Jun 24 14:49:52 2021 weight of 17636718 cycles is about 2116713658 (120.02/cycle)
- Thu Jun 24 14:49:52 2021 distribution of cycle lengths:
- Thu Jun 24 14:49:52 2021 1 relations: 1046931
- Thu Jun 24 14:49:52 2021 2 relations: 1279532
- Thu Jun 24 14:49:52 2021 3 relations: 1414629
- Thu Jun 24 14:49:52 2021 4 relations: 1418759
- Thu Jun 24 14:49:52 2021 5 relations: 1424006
- Thu Jun 24 14:49:52 2021 6 relations: 1387339
- Thu Jun 24 14:49:52 2021 7 relations: 1329935
- Thu Jun 24 14:49:52 2021 8 relations: 1249883
- Thu Jun 24 14:49:52 2021 9 relations: 1153762
- Thu Jun 24 14:49:52 2021 10+ relations: 5931942
- Thu Jun 24 14:49:52 2021 heaviest cycle: 28 relations
- Thu Jun 24 14:49:56 2021 commencing cycle optimization
- Thu Jun 24 14:50:30 2021 start with 139861520 relations
- Thu Jun 24 14:57:27 2021 pruned 6619195 relations
- Thu Jun 24 14:57:27 2021 memory use: 3813.6 MB
- Thu Jun 24 14:57:27 2021 distribution of cycle lengths:
- Thu Jun 24 14:57:27 2021 1 relations: 1046931
- Thu Jun 24 14:57:27 2021 2 relations: 1317591
- Thu Jun 24 14:57:27 2021 3 relations: 1483406
- Thu Jun 24 14:57:27 2021 4 relations: 1484654
- Thu Jun 24 14:57:27 2021 5 relations: 1500961
- Thu Jun 24 14:57:27 2021 6 relations: 1456693
- Thu Jun 24 14:57:27 2021 7 relations: 1398657
- Thu Jun 24 14:57:27 2021 8 relations: 1306482
- Thu Jun 24 14:57:27 2021 9 relations: 1198027
- Thu Jun 24 14:57:27 2021 10+ relations: 5443316
- Thu Jun 24 14:57:27 2021 heaviest cycle: 27 relations
- Thu Jun 24 14:58:32 2021 RelProcTime: 12299
- Thu Jun 24 14:58:32 2021
- Thu Jun 24 14:58:32 2021 commencing linear algebra
- Thu Jun 24 14:58:35 2021 read 17636718 cycles
- Thu Jun 24 14:59:16 2021 cycles contain 56813748 unique relations
- Thu Jun 24 15:09:36 2021 read 56813748 relations
- Thu Jun 24 15:12:08 2021 using 20 quadratic characters above 4294917295
- Thu Jun 24 15:16:04 2021 building initial matrix
- Thu Jun 24 15:30:28 2021 memory use: 8204.1 MB
- Thu Jun 24 15:30:47 2021 read 17636718 cycles
- Thu Jun 24 15:30:55 2021 matrix is 17636541 x 17636718 (8325.1 MB) with weight 2557944390 (145.04/col)
- Thu Jun 24 15:30:55 2021 sparse part has weight 1970735144 (111.74/col)
- Thu Jun 24 15:35:49 2021 filtering completed in 2 passes
- Thu Jun 24 15:35:57 2021 matrix is 17636110 x 17636287 (8325.1 MB) with weight 2557923055 (145.04/col)
- Thu Jun 24 15:35:57 2021 sparse part has weight 1970728767 (111.74/col)
- Thu Jun 24 15:37:48 2021 matrix starts at (0, 0)
- Thu Jun 24 15:37:56 2021 matrix is 17636110 x 17636287 (8325.1 MB) with weight 2557923055 (145.04/col)
- Thu Jun 24 15:37:56 2021 sparse part has weight 1970728767 (111.74/col)
- Thu Jun 24 15:37:56 2021 saving the first 48 matrix rows for later
- Thu Jun 24 15:38:00 2021 matrix includes 64 packed rows
- Thu Jun 24 15:38:04 2021 matrix is 17636062 x 17636287 (8173.4 MB) with weight 2197867827 (124.62/col)
- Thu Jun 24 15:38:04 2021 sparse part has weight 1966233113 (111.49/col)
- Thu Jun 24 15:38:04 2021 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
- Thu Jun 24 15:40:34 2021 commencing Lanczos iteration (8 threads)
- Thu Jun 24 15:40:34 2021 memory use: 6910.4 MB
- Thu Jun 24 15:42:20 2021 linear algebra at 0.0%, ETA 326h 8m
- Thu Jun 24 15:42:55 2021 checkpointing every 60000 dimensions
- Thu Jul 1 08:02:26 2021
- Thu Jul 1 08:02:27 2021
- Thu Jul 1 08:02:27 2021 Msieve v. 1.53 (SVN unknown)
- Thu Jul 1 08:02:27 2021 random seeds: 5a59d3c0 bb7e8030
- Thu Jul 1 08:02:27 2021 factoring 13722590741694950150749977565393763479875175126696998719123024684676193081635465141226072589122026643757557895201242317939281987981699165430122175451371777818049650902679751036184312239268169 (191 digits)
- Thu Jul 1 08:02:28 2021 searching for 15-digit factors
- Thu Jul 1 08:02:28 2021 commencing number field sieve (191-digit input)
- Thu Jul 1 08:02:28 2021 R0: -4175569023201610477430743076651843101
- Thu Jul 1 08:02:28 2021 R1: 9301402025178661764203
- Thu Jul 1 08:02:28 2021 A0: 110959553355656567543356858499151578955792060
- Thu Jul 1 08:02:28 2021 A1: -38940462646278760204606159044462028312
- Thu Jul 1 08:02:28 2021 A2: 7067916544661517449417744835111
- Thu Jul 1 08:02:28 2021 A3: 75597863525990589208009
- Thu Jul 1 08:02:28 2021 A4: -3827132791134024
- Thu Jul 1 08:02:28 2021 A5: 64864800
- Thu Jul 1 08:02:28 2021 skew 31007883.18, size 1.328e-18, alpha -8.680, combined = 2.105e-14 rroots = 1
- Thu Jul 1 08:02:28 2021
- Thu Jul 1 08:02:28 2021 commencing linear algebra
- Thu Jul 1 08:03:45 2021 matrix starts at (0, 0)
- Thu Jul 1 08:03:59 2021 matrix is 17636110 x 17636287 (8325.1 MB) with weight 2557923055 (145.04/col)
- Thu Jul 1 08:03:59 2021 sparse part has weight 1970728767 (111.74/col)
- Thu Jul 1 08:03:59 2021 saving the first 48 matrix rows for later
- Thu Jul 1 08:04:06 2021 matrix includes 64 packed rows
- Thu Jul 1 08:04:12 2021 matrix is 17636062 x 17636287 (8173.4 MB) with weight 2197867827 (124.62/col)
- Thu Jul 1 08:04:12 2021 sparse part has weight 1966233113 (111.49/col)
- Thu Jul 1 08:04:12 2021 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
- Thu Jul 1 08:06:43 2021 commencing Lanczos iteration (4 threads)
- Thu Jul 1 08:06:43 2021 memory use: 6910.3 MB
- Thu Jul 1 08:06:50 2021 restarting at iteration 125248 (dim = 7920046)
- Thu Jul 1 08:08:35 2021 linear algebra at 44.9%, ETA 186h54m
- Thu Jul 1 08:09:05 2021 checkpointing every 60000 dimensions
- Sun Jul 4 12:31:27 2021
- Sun Jul 4 12:31:27 2021
- Sun Jul 4 12:31:27 2021 Msieve v. 1.53 (SVN unknown)
- Sun Jul 4 12:31:27 2021 random seeds: 95b17978 df0c93d9
- Sun Jul 4 12:31:27 2021 factoring 13722590741694950150749977565393763479875175126696998719123024684676193081635465141226072589122026643757557895201242317939281987981699165430122175451371777818049650902679751036184312239268169 (191 digits)
- Sun Jul 4 12:31:28 2021 searching for 15-digit factors
- Sun Jul 4 12:31:29 2021 commencing number field sieve (191-digit input)
- Sun Jul 4 12:31:29 2021 R0: -4175569023201610477430743076651843101
- Sun Jul 4 12:31:29 2021 R1: 9301402025178661764203
- Sun Jul 4 12:31:29 2021 A0: 110959553355656567543356858499151578955792060
- Sun Jul 4 12:31:29 2021 A1: -38940462646278760204606159044462028312
- Sun Jul 4 12:31:29 2021 A2: 7067916544661517449417744835111
- Sun Jul 4 12:31:29 2021 A3: 75597863525990589208009
- Sun Jul 4 12:31:29 2021 A4: -3827132791134024
- Sun Jul 4 12:31:29 2021 A5: 64864800
- Sun Jul 4 12:31:29 2021 skew 31007883.18, size 1.328e-18, alpha -8.680, combined = 2.105e-14 rroots = 1
- Sun Jul 4 12:31:29 2021
- Sun Jul 4 12:31:29 2021 commencing linear algebra
- Sun Jul 4 12:32:49 2021 matrix starts at (0, 0)
- Sun Jul 4 12:32:58 2021 matrix is 17636110 x 17636287 (8325.1 MB) with weight 2557923055 (145.04/col)
- Sun Jul 4 12:32:58 2021 sparse part has weight 1970728767 (111.74/col)
- Sun Jul 4 12:32:58 2021 saving the first 48 matrix rows for later
- Sun Jul 4 12:33:03 2021 matrix includes 64 packed rows
- Sun Jul 4 12:33:08 2021 matrix is 17636062 x 17636287 (8173.4 MB) with weight 2197867827 (124.62/col)
- Sun Jul 4 12:33:08 2021 sparse part has weight 1966233113 (111.49/col)
- Sun Jul 4 12:33:08 2021 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
- Sun Jul 4 12:36:07 2021 commencing Lanczos iteration (4 threads)
- Sun Jul 4 12:36:07 2021 memory use: 6910.3 MB
- Sun Jul 4 12:36:14 2021 restarting at iteration 163200 (dim = 10320042)
- Sun Jul 4 12:38:38 2021 linear algebra at 58.5%, ETA 192h37m
- Sun Jul 4 12:39:20 2021 checkpointing every 40000 dimensions
- Mon Jul 12 21:00:30 2021 lanczos halted after 278894 iterations (dim = 17636062)
- Mon Jul 12 21:01:27 2021 recovered 33 nontrivial dependencies
- Mon Jul 12 21:01:42 2021 BLanczosTime: 721813
- Mon Jul 12 21:01:42 2021
- Mon Jul 12 21:01:42 2021 commencing square root phase
- Mon Jul 12 21:01:42 2021 reading relations for dependency 1
- Mon Jul 12 21:01:48 2021 read 8819946 cycles
- Mon Jul 12 21:02:11 2021 cycles contain 28408796 unique relations
- Mon Jul 12 21:10:11 2021 read 28408796 relations
- Mon Jul 12 21:13:50 2021 multiplying 28408796 relations
- Mon Jul 12 22:18:03 2021 multiply complete, coefficients have about 1881.21 million bits
- Mon Jul 12 22:18:25 2021 initial square root is modulo 274524611
- Mon Jul 12 23:36:22 2021 GCD is 1, no factor found
- Mon Jul 12 23:36:22 2021 reading relations for dependency 2
- Mon Jul 12 23:36:27 2021 read 8819039 cycles
- Mon Jul 12 23:36:49 2021 cycles contain 28409916 unique relations
- Mon Jul 12 23:44:24 2021 read 28409916 relations
- Mon Jul 12 23:47:56 2021 multiplying 28409916 relations
- Tue Jul 13 00:50:44 2021 multiply complete, coefficients have about 1881.29 million bits
- Tue Jul 13 00:51:05 2021 initial square root is modulo 274763689
- Tue Jul 13 02:08:44 2021 sqrtTime: 18422
- Tue Jul 13 02:08:44 2021 p74 factor: 93655381047573915286094344777460544361560556243301176853766361319415593927
- Tue Jul 13 02:08:44 2021 p117 factor: 146522181514848744247047851450982589541255333928818996022766288145219096626768565286336041561355044227576265131956847
- Tue Jul 13 02:08:44 2021 elapsed time 205:37:17
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