Wed Jun 3 14:23:04 2026 Wed Jun 3 14:23:04 2026 Wed Jun 3 14:23:04 2026 Msieve v. 1.54 (SVN Unversioned directory) Wed Jun 3 14:23:04 2026 random seeds: 061e0211 97f6c68a Wed Jun 3 14:23:04 2026 MPI process 0 of 1 Wed Jun 3 14:23:04 2026 Using 32 OpenMP threads Wed Jun 3 14:23:04 2026 factoring 187490363485653591136622015082558736416661858081258469343236525238918263757316548530299240381659938810848096498825143918493937820609262042441608151857160659089843480207 (168 digits) Wed Jun 3 14:23:05 2026 searching for 15-digit factors Wed Jun 3 14:23:06 2026 commencing number field sieve (168-digit input) Wed Jun 3 14:23:06 2026 R0: -182182364642903324518708540222357 Wed Jun 3 14:23:06 2026 R1: 9095529867323349486778583 Wed Jun 3 14:23:06 2026 A0: 2283966361617557600451601947549787047360 Wed Jun 3 14:23:06 2026 A1: 435045275547825805997251039681752 Wed Jun 3 14:23:06 2026 A2: -562668107662231741171319820 Wed Jun 3 14:23:06 2026 A3: 94778687026288501306 Wed Jun 3 14:23:06 2026 A4: 12412187183507 Wed Jun 3 14:23:06 2026 A5: 144900 Wed Jun 3 14:23:06 2026 skew 8222002.12, size 2.964e-16, alpha -6.940, combined = 5.615e-13 rroots = 3 Wed Jun 3 14:23:06 2026 Wed Jun 3 14:23:06 2026 commencing relation filtering Wed Jun 3 14:23:06 2026 setting target matrix density to 130.0 Wed Jun 3 14:23:06 2026 estimated available RAM is 257736.5 MB Wed Jun 3 14:23:06 2026 commencing duplicate removal, pass 1 Wed Jun 3 14:27:07 2026 error -1 reading relation 90609425 Wed Jun 3 14:28:57 2026 error -1 reading relation 131149153 Wed Jun 3 14:29:03 2026 error -15 reading relation 133733854 Wed Jun 3 14:30:31 2026 error -1 reading relation 167974896 Wed Jun 3 14:32:10 2026 error -1 reading relation 205153976 Wed Jun 3 14:32:27 2026 error -1 reading relation 212075435 Wed Jun 3 14:32:31 2026 error -1 reading relation 213485099 Wed Jun 3 14:32:56 2026 error -1 reading relation 222627751 Wed Jun 3 14:35:44 2026 error -1 reading relation 285878598 Wed Jun 3 14:37:11 2026 skipped 1 relations with composite factors Wed Jun 3 14:37:11 2026 skipped 145 malformed relations Wed Jun 3 14:37:11 2026 found 59006040 hash collisions in 320305409 relations Wed Jun 3 14:37:52 2026 added 121834 free relations Wed Jun 3 14:37:52 2026 commencing duplicate removal, pass 2 Wed Jun 3 14:49:31 2026 found 60563329 duplicates and 259863914 unique relations Wed Jun 3 14:49:31 2026 memory use: 1705.5 MB Wed Jun 3 14:49:32 2026 reading ideals above 720000 Wed Jun 3 14:49:32 2026 commencing singleton removal, initial pass Wed Jun 3 15:39:10 2026 memory use: 6024.0 MB Wed Jun 3 15:39:12 2026 reading all ideals from disk Wed Jun 3 15:39:21 2026 memory use: 12027.7 MB Wed Jun 3 15:41:14 2026 keeping 242135737 ideals with weight <= 200, target excess is 1241026 Wed Jun 3 15:43:16 2026 commencing in-memory singleton removal Wed Jun 3 15:43:23 2026 begin with 259863914 relations and 242135737 unique ideals Wed Jun 3 15:43:52 2026 reduce to 155476245 relations and 126072746 ideals in 15 passes Wed Jun 3 15:43:52 2026 max relations containing the same ideal: 152 Wed Jun 3 15:46:10 2026 removing 12217632 relations and 10217632 ideals in 2000000 cliques Wed Jun 3 15:46:22 2026 commencing in-memory singleton removal Wed Jun 3 15:46:26 2026 begin with 143258613 relations and 126072746 unique ideals Wed Jun 3 15:46:37 2026 reduce to 142506707 relations and 115090496 ideals in 9 passes Wed Jun 3 15:46:37 2026 max relations containing the same ideal: 144 Wed Jun 3 15:48:45 2026 removing 9247509 relations and 7247509 ideals in 2000000 cliques Wed Jun 3 15:48:55 2026 commencing in-memory singleton removal Wed Jun 3 15:48:59 2026 begin with 133259198 relations and 115090496 unique ideals Wed Jun 3 15:49:09 2026 reduce to 132767517 relations and 107344065 ideals in 8 passes Wed Jun 3 15:49:09 2026 max relations containing the same ideal: 136 Wed Jun 3 15:51:13 2026 removing 8339845 relations and 6339845 ideals in 2000000 cliques Wed Jun 3 15:51:22 2026 commencing in-memory singleton removal Wed Jun 3 15:51:24 2026 begin with 124427672 relations and 107344065 unique ideals Wed Jun 3 15:51:33 2026 reduce to 123994443 relations and 100564538 ideals in 8 passes Wed Jun 3 15:51:33 2026 max relations containing the same ideal: 130 Wed Jun 3 15:53:22 2026 removing 7876729 relations and 5876729 ideals in 2000000 cliques Wed Jun 3 15:53:30 2026 commencing in-memory singleton removal Wed Jun 3 15:53:33 2026 begin with 116117714 relations and 100564538 unique ideals Wed Jun 3 15:53:42 2026 reduce to 115705968 relations and 94269740 ideals in 8 passes Wed Jun 3 15:53:42 2026 max relations containing the same ideal: 126 Wed Jun 3 15:55:22 2026 removing 7581456 relations and 5581456 ideals in 2000000 cliques Wed Jun 3 15:55:29 2026 commencing in-memory singleton removal Wed Jun 3 15:55:32 2026 begin with 108124512 relations and 94269740 unique ideals Wed Jun 3 15:55:39 2026 reduce to 107722131 relations and 88279632 ideals in 8 passes Wed Jun 3 15:55:39 2026 max relations containing the same ideal: 121 Wed Jun 3 15:57:14 2026 removing 7388635 relations and 5388635 ideals in 2000000 cliques Wed Jun 3 15:57:22 2026 commencing in-memory singleton removal Wed Jun 3 15:57:25 2026 begin with 100333496 relations and 88279632 unique ideals Wed Jun 3 15:57:32 2026 reduce to 99928408 relations and 82478949 ideals in 8 passes Wed Jun 3 15:57:32 2026 max relations containing the same ideal: 115 Wed Jun 3 15:59:01 2026 removing 7262135 relations and 5262135 ideals in 2000000 cliques Wed Jun 3 15:59:07 2026 commencing in-memory singleton removal Wed Jun 3 15:59:09 2026 begin with 92666273 relations and 82478949 unique ideals Wed Jun 3 15:59:15 2026 reduce to 92248410 relations and 76791413 ideals in 7 passes Wed Jun 3 15:59:15 2026 max relations containing the same ideal: 108 Wed Jun 3 16:00:35 2026 removing 7184553 relations and 5184553 ideals in 2000000 cliques Wed Jun 3 16:00:42 2026 commencing in-memory singleton removal Wed Jun 3 16:00:44 2026 begin with 85063857 relations and 76791413 unique ideals Wed Jun 3 16:00:50 2026 reduce to 84625268 relations and 71159735 ideals in 10 passes Wed Jun 3 16:00:50 2026 max relations containing the same ideal: 103 Wed Jun 3 16:02:03 2026 removing 7140639 relations and 5140639 ideals in 2000000 cliques Wed Jun 3 16:02:09 2026 commencing in-memory singleton removal Wed Jun 3 16:02:10 2026 begin with 77484629 relations and 71159735 unique ideals Wed Jun 3 16:02:15 2026 reduce to 77014500 relations and 65539197 ideals in 7 passes Wed Jun 3 16:02:15 2026 max relations containing the same ideal: 99 Wed Jun 3 16:03:18 2026 removing 7133599 relations and 5133599 ideals in 2000000 cliques Wed Jun 3 16:03:24 2026 commencing in-memory singleton removal Wed Jun 3 16:03:25 2026 begin with 69880901 relations and 65539197 unique ideals Wed Jun 3 16:03:29 2026 reduce to 69368784 relations and 59881941 ideals in 7 passes Wed Jun 3 16:03:29 2026 max relations containing the same ideal: 90 Wed Jun 3 16:04:29 2026 removing 7159251 relations and 5159251 ideals in 2000000 cliques Wed Jun 3 16:04:34 2026 commencing in-memory singleton removal Wed Jun 3 16:04:36 2026 begin with 62209533 relations and 59881941 unique ideals Wed Jun 3 16:04:40 2026 reduce to 61635502 relations and 54134070 ideals in 8 passes Wed Jun 3 16:04:40 2026 max relations containing the same ideal: 84 Wed Jun 3 16:05:34 2026 removing 7219096 relations and 5219096 ideals in 2000000 cliques Wed Jun 3 16:05:39 2026 commencing in-memory singleton removal Wed Jun 3 16:05:40 2026 begin with 54416406 relations and 54134070 unique ideals Wed Jun 3 16:05:44 2026 reduce to 53752334 relations and 48232151 ideals in 8 passes Wed Jun 3 16:05:44 2026 max relations containing the same ideal: 76 Wed Jun 3 16:06:31 2026 removing 7325341 relations and 5325341 ideals in 2000000 cliques Wed Jun 3 16:06:36 2026 commencing in-memory singleton removal Wed Jun 3 16:06:37 2026 begin with 46426993 relations and 48232151 unique ideals Wed Jun 3 16:06:40 2026 reduce to 45626818 relations and 42081394 ideals in 8 passes Wed Jun 3 16:06:40 2026 max relations containing the same ideal: 70 Wed Jun 3 16:07:19 2026 removing 7494583 relations and 5494583 ideals in 2000000 cliques Wed Jun 3 16:07:23 2026 commencing in-memory singleton removal Wed Jun 3 16:07:24 2026 begin with 38132235 relations and 42081394 unique ideals Wed Jun 3 16:07:27 2026 reduce to 37108215 relations and 35524055 ideals in 10 passes Wed Jun 3 16:07:27 2026 max relations containing the same ideal: 59 Wed Jun 3 16:07:58 2026 removing 976868 relations and 832299 ideals in 144569 cliques Wed Jun 3 16:08:01 2026 commencing in-memory singleton removal Wed Jun 3 16:08:02 2026 begin with 36131347 relations and 35524055 unique ideals Wed Jun 3 16:08:04 2026 reduce to 36113492 relations and 34673821 ideals in 7 passes Wed Jun 3 16:08:04 2026 max relations containing the same ideal: 58 Wed Jun 3 16:08:10 2026 relations with 0 large ideals: 4343 Wed Jun 3 16:08:10 2026 relations with 1 large ideals: 45233 Wed Jun 3 16:08:10 2026 relations with 2 large ideals: 544940 Wed Jun 3 16:08:10 2026 relations with 3 large ideals: 2664035 Wed Jun 3 16:08:10 2026 relations with 4 large ideals: 6827989 Wed Jun 3 16:08:10 2026 relations with 5 large ideals: 10129351 Wed Jun 3 16:08:10 2026 relations with 6 large ideals: 9107625 Wed Jun 3 16:08:10 2026 relations with 7+ large ideals: 6789976 Wed Jun 3 16:08:10 2026 commencing 2-way merge Wed Jun 3 16:08:56 2026 reduce to 21770309 relation sets and 20330638 unique ideals Wed Jun 3 16:08:56 2026 commencing full merge Wed Jun 3 16:25:00 2026 memory use: 2443.6 MB Wed Jun 3 16:25:04 2026 found 9266472 cycles, need 9228838 Wed Jun 3 16:25:09 2026 weight of 9228838 cycles is about 1200056704 (130.03/cycle) Wed Jun 3 16:25:09 2026 distribution of cycle lengths: Wed Jun 3 16:25:09 2026 1 relations: 550148 Wed Jun 3 16:25:09 2026 2 relations: 575607 Wed Jun 3 16:25:09 2026 3 relations: 591113 Wed Jun 3 16:25:09 2026 4 relations: 586288 Wed Jun 3 16:25:09 2026 5 relations: 589232 Wed Jun 3 16:25:09 2026 6 relations: 584652 Wed Jun 3 16:25:09 2026 7 relations: 573063 Wed Jun 3 16:25:09 2026 8 relations: 560200 Wed Jun 3 16:25:09 2026 9 relations: 532376 Wed Jun 3 16:25:09 2026 10+ relations: 4086159 Wed Jun 3 16:25:09 2026 heaviest cycle: 28 relations Wed Jun 3 16:25:16 2026 commencing cycle optimization Wed Jun 3 16:25:59 2026 start with 87597922 relations Wed Jun 3 16:32:42 2026 pruned 3817106 relations Wed Jun 3 16:32:42 2026 memory use: 2355.8 MB Wed Jun 3 16:32:42 2026 distribution of cycle lengths: Wed Jun 3 16:32:42 2026 1 relations: 550148 Wed Jun 3 16:32:42 2026 2 relations: 590281 Wed Jun 3 16:32:42 2026 3 relations: 614989 Wed Jun 3 16:32:42 2026 4 relations: 608427 Wed Jun 3 16:32:42 2026 5 relations: 615934 Wed Jun 3 16:32:42 2026 6 relations: 610727 Wed Jun 3 16:32:42 2026 7 relations: 601579 Wed Jun 3 16:32:42 2026 8 relations: 585216 Wed Jun 3 16:32:42 2026 9 relations: 557886 Wed Jun 3 16:32:42 2026 10+ relations: 3893651 Wed Jun 3 16:32:42 2026 heaviest cycle: 28 relations Wed Jun 3 16:33:13 2026 RelProcTime: 7807 Wed Jun 3 16:33:13 2026 Wed Jun 3 16:33:13 2026 commencing linear algebra Wed Jun 3 16:33:13 2026 using VBITS=256 Wed Jun 3 16:33:13 2026 stopping after matrix build Wed Jun 3 16:33:13 2026 initialized process (0,0) of 1 x 1 grid Wed Jun 3 16:33:15 2026 read 9228838 cycles Wed Jun 3 16:33:54 2026 cycles contain 35183566 unique relations Wed Jun 3 16:41:24 2026 read 35183566 relations Wed Jun 3 16:41:31 2026 using 20 quadratic characters above 4294917295 Wed Jun 3 16:41:37 2026 building initial matrix Wed Jun 3 16:56:46 2026 memory use: 4720.6 MB Wed Jun 3 16:57:00 2026 read 9228838 cycles Wed Jun 3 16:57:03 2026 matrix is 9228661 x 9228838 (4627.3 MB) with weight 1411355720 (152.93/col) Wed Jun 3 16:57:03 2026 sparse part has weight 1111506625 (120.44/col) Wed Jun 3 17:02:09 2026 filtering completed in 2 passes Wed Jun 3 17:02:13 2026 matrix is 9228275 x 9228450 (4627.3 MB) with weight 1411335638 (152.93/col) Wed Jun 3 17:02:13 2026 sparse part has weight 1111500375 (120.44/col) Wed Jun 3 17:03:30 2026 BLanczosTime: 1817 Wed Jun 3 17:03:30 2026 elapsed time 02:40:26 Wed Jun 3 17:08:08 2026 Wed Jun 3 17:08:08 2026 Wed Jun 3 17:08:08 2026 Msieve v. 1.54 (SVN Unversioned directory) Wed Jun 3 17:08:08 2026 random seeds: ef906b73 01cfd413 Wed Jun 3 17:08:08 2026 MPI process 0 of 1 Wed Jun 3 17:08:08 2026 Using 64 OpenMP threads Wed Jun 3 17:08:08 2026 factoring 187490363485653591136622015082558736416661858081258469343236525238918263757316548530299240381659938810848096498825143918493937820609262042441608151857160659089843480207 (168 digits) Wed Jun 3 17:08:09 2026 searching for 15-digit factors Wed Jun 3 17:08:09 2026 commencing number field sieve (168-digit input) Wed Jun 3 17:08:09 2026 R0: -182182364642903324518708540222357 Wed Jun 3 17:08:09 2026 R1: 9095529867323349486778583 Wed Jun 3 17:08:09 2026 A0: 2283966361617557600451601947549787047360 Wed Jun 3 17:08:09 2026 A1: 435045275547825805997251039681752 Wed Jun 3 17:08:09 2026 A2: -562668107662231741171319820 Wed Jun 3 17:08:09 2026 A3: 94778687026288501306 Wed Jun 3 17:08:09 2026 A4: 12412187183507 Wed Jun 3 17:08:09 2026 A5: 144900 Wed Jun 3 17:08:09 2026 skew 8222002.12, size 2.964e-16, alpha -6.940, combined = 5.615e-13 rroots = 3 Wed Jun 3 17:08:09 2026 Wed Jun 3 17:08:09 2026 commencing linear algebra Wed Jun 3 17:08:09 2026 using VBITS=256 Wed Jun 3 17:08:09 2026 skipping matrix build Wed Jun 3 17:08:09 2026 initialized process (0,0) of 1 x 1 grid Wed Jun 3 17:08:18 2026 matrix starts at (0, 0) Wed Jun 3 17:08:21 2026 matrix is 9228275 x 9228450 (4627.3 MB) with weight 1411335638 (152.93/col) Wed Jun 3 17:08:21 2026 sparse part has weight 1111500375 (120.44/col) Wed Jun 3 17:08:21 2026 saving the first 240 matrix rows for later Wed Jun 3 17:08:25 2026 matrix includes 256 packed rows Wed Jun 3 17:08:32 2026 matrix is 9228035 x 9228450 (4186.2 MB) with weight 1014136984 (109.89/col) Wed Jun 3 17:08:32 2026 sparse part has weight 949742186 (102.91/col) Wed Jun 3 17:08:32 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Wed Jun 3 17:09:15 2026 commencing Lanczos iteration (64 threads) Wed Jun 3 17:09:15 2026 memory use: 5917.2 MB Wed Jun 3 17:15:55 2026 linear algebra at 0.3%, ETA 33h 6m Wed Jun 3 17:17:45 2026 checking every 10000 dimensions, checkpointing every 550000 dimensions Wed Jun 3 23:21:50 2026 lanczos halted after 36157 iterations (dim = 9228035) Wed Jun 3 23:22:18 2026 recovered 32 nontrivial dependencies Wed Jun 3 23:22:19 2026 BLanczosTime: 22450 Wed Jun 3 23:22:19 2026 Wed Jun 3 23:22:19 2026 commencing square root phase Wed Jun 3 23:22:19 2026 handling dependencies 1 to 64 Wed Jun 3 23:22:19 2026 reading relations for dependency 1 Wed Jun 3 23:22:20 2026 read 4616865 cycles Wed Jun 3 23:22:27 2026 cycles contain 17599230 unique relations Wed Jun 3 23:27:30 2026 read 17599230 relations Wed Jun 3 23:28:55 2026 multiplying 17599230 relations Wed Jun 3 23:32:19 2026 multiply complete, coefficients have about 975.62 million bits Wed Jun 3 23:32:24 2026 initial square root is modulo 565938049 Wed Jun 3 23:38:54 2026 GCD is N, no factor found Wed Jun 3 23:38:54 2026 reading relations for dependency 2 Wed Jun 3 23:38:55 2026 read 4613739 cycles Wed Jun 3 23:39:06 2026 cycles contain 17589022 unique relations Wed Jun 3 23:43:52 2026 read 17589022 relations Wed Jun 3 23:45:00 2026 multiplying 17589022 relations Wed Jun 3 23:46:31 2026 multiply complete, coefficients have about 975.04 million bits Wed Jun 3 23:46:34 2026 initial square root is modulo 559244453 Wed Jun 3 23:51:51 2026 sqrtTime: 1772 Wed Jun 3 23:51:51 2026 p69 factor: 784033182083849567136190007733518157792377386722282624654839144313791 Wed Jun 3 23:51:51 2026 p99 factor: 239135750590722016103142532674888888782827233784688344010803246171052982351608866319575049564291377 Wed Jun 3 23:51:51 2026 elapsed time 06:43:43