Wed Dec 29 02:34:34 2021 Wed Dec 29 02:34:34 2021 Wed Dec 29 02:34:34 2021 Msieve v. 1.54 (SVN unknown) Wed Dec 29 02:34:34 2021 random seeds: d15baa34 3257c126 Wed Dec 29 02:34:34 2021 factoring 16984508117823427310621923675160679641235652649206694245726594672585627059310306808004459525481867152381988476757995127715163117139676407725704471541371722516646890394023743309370724488177242794749964367637069890096446764533332793173 (233 digits) Wed Dec 29 02:34:35 2021 no P-1/P+1/ECM available, skipping Wed Dec 29 02:34:35 2021 commencing number field sieve (233-digit input) Wed Dec 29 02:34:35 2021 R0: -82426820865386399639786808294030442496 Wed Dec 29 02:34:35 2021 R1: 650377879817809571042122834561 Wed Dec 29 02:34:35 2021 A0: 7 Wed Dec 29 02:34:35 2021 A1: 0 Wed Dec 29 02:34:35 2021 A2: 0 Wed Dec 29 02:34:35 2021 A3: 0 Wed Dec 29 02:34:35 2021 A4: 0 Wed Dec 29 02:34:35 2021 A5: 0 Wed Dec 29 02:34:35 2021 A6: 0 Wed Dec 29 02:34:35 2021 A7: 8 Wed Dec 29 02:34:35 2021 skew 0.98, size 6.979e-10, alpha 0.669, combined = 3.189e-14 rroots = 1 Wed Dec 29 02:34:35 2021 Wed Dec 29 02:34:35 2021 commencing relation filtering Wed Dec 29 02:34:35 2021 setting target matrix density to 120.0 Wed Dec 29 02:34:35 2021 estimated available RAM is 515600.8 MB Wed Dec 29 02:34:35 2021 commencing duplicate removal, pass 1 Wed Dec 29 03:02:27 2021 skipped 1360 relations with b > 2^32 Wed Dec 29 03:02:27 2021 skipped 95 relations with composite factors Wed Dec 29 03:02:27 2021 found 24295351 hash collisions in 340006105 relations Wed Dec 29 03:02:55 2021 added 348520 free relations Wed Dec 29 03:02:55 2021 commencing duplicate removal, pass 2 Wed Dec 29 03:04:13 2021 found 0 duplicates and 340354625 unique relations Wed Dec 29 03:04:13 2021 memory use: 1257.5 MB Wed Dec 29 03:04:13 2021 reading ideals above 720000 Wed Dec 29 03:04:13 2021 commencing singleton removal, initial pass Wed Dec 29 03:35:54 2021 memory use: 11024.0 MB Wed Dec 29 03:35:54 2021 reading all ideals from disk Wed Dec 29 03:35:57 2021 memory use: 14410.4 MB Wed Dec 29 03:36:09 2021 keeping 335901044 ideals with weight <= 200, target excess is 1725288 Wed Dec 29 03:36:30 2021 commencing in-memory singleton removal Wed Dec 29 03:36:40 2021 begin with 340354625 relations and 335901044 unique ideals Wed Dec 29 03:38:53 2021 reduce to 200242371 relations and 179799824 ideals in 18 passes Wed Dec 29 03:38:53 2021 max relations containing the same ideal: 149 Wed Dec 29 03:39:41 2021 removing 15559857 relations and 13559857 ideals in 2000000 cliques Wed Dec 29 03:39:46 2021 commencing in-memory singleton removal Wed Dec 29 03:39:52 2021 begin with 184682514 relations and 179799824 unique ideals Wed Dec 29 03:40:55 2021 reduce to 183648519 relations and 165191491 ideals in 10 passes Wed Dec 29 03:40:55 2021 max relations containing the same ideal: 142 Wed Dec 29 03:41:39 2021 removing 11710061 relations and 9710061 ideals in 2000000 cliques Wed Dec 29 03:41:43 2021 commencing in-memory singleton removal Wed Dec 29 03:41:48 2021 begin with 171938458 relations and 165191491 unique ideals Wed Dec 29 03:42:47 2021 reduce to 171281920 relations and 154817110 ideals in 10 passes Wed Dec 29 03:42:47 2021 max relations containing the same ideal: 136 Wed Dec 29 03:43:29 2021 removing 10536331 relations and 8536331 ideals in 2000000 cliques Wed Dec 29 03:43:33 2021 commencing in-memory singleton removal Wed Dec 29 03:43:37 2021 begin with 160745589 relations and 154817110 unique ideals Wed Dec 29 03:44:26 2021 reduce to 160173211 relations and 145701747 ideals in 9 passes Wed Dec 29 03:44:26 2021 max relations containing the same ideal: 131 Wed Dec 29 03:45:06 2021 removing 9931724 relations and 7931724 ideals in 2000000 cliques Wed Dec 29 03:45:09 2021 commencing in-memory singleton removal Wed Dec 29 03:45:14 2021 begin with 150241487 relations and 145701747 unique ideals Wed Dec 29 03:46:04 2021 reduce to 149698457 relations and 137220527 ideals in 10 passes Wed Dec 29 03:46:04 2021 max relations containing the same ideal: 124 Wed Dec 29 03:46:41 2021 removing 9567971 relations and 7567971 ideals in 2000000 cliques Wed Dec 29 03:46:45 2021 commencing in-memory singleton removal Wed Dec 29 03:46:49 2021 begin with 140130486 relations and 137220527 unique ideals Wed Dec 29 03:47:31 2021 reduce to 139590822 relations and 129106207 ideals in 9 passes Wed Dec 29 03:47:31 2021 max relations containing the same ideal: 118 Wed Dec 29 03:48:06 2021 removing 9342948 relations and 7342948 ideals in 2000000 cliques Wed Dec 29 03:48:10 2021 commencing in-memory singleton removal Wed Dec 29 03:48:13 2021 begin with 130247874 relations and 129106207 unique ideals Wed Dec 29 03:48:49 2021 reduce to 129697355 relations and 121205600 ideals in 8 passes Wed Dec 29 03:48:49 2021 max relations containing the same ideal: 112 Wed Dec 29 03:49:21 2021 removing 9212075 relations and 7212075 ideals in 2000000 cliques Wed Dec 29 03:49:24 2021 commencing in-memory singleton removal Wed Dec 29 03:49:28 2021 begin with 120485280 relations and 121205600 unique ideals Wed Dec 29 03:50:04 2021 reduce to 119908087 relations and 113408408 ideals in 9 passes Wed Dec 29 03:50:04 2021 max relations containing the same ideal: 109 Wed Dec 29 03:50:35 2021 removing 9150342 relations and 7150342 ideals in 2000000 cliques Wed Dec 29 03:50:38 2021 commencing in-memory singleton removal Wed Dec 29 03:50:41 2021 begin with 110757745 relations and 113408408 unique ideals Wed Dec 29 03:51:11 2021 reduce to 110139748 relations and 105631087 ideals in 8 passes Wed Dec 29 03:51:11 2021 max relations containing the same ideal: 102 Wed Dec 29 03:51:39 2021 removing 9154750 relations and 7154750 ideals in 2000000 cliques Wed Dec 29 03:51:42 2021 commencing in-memory singleton removal Wed Dec 29 03:51:45 2021 begin with 100984998 relations and 105631087 unique ideals Wed Dec 29 03:52:16 2021 reduce to 100309152 relations and 97789671 ideals in 9 passes Wed Dec 29 03:52:16 2021 max relations containing the same ideal: 97 Wed Dec 29 03:52:42 2021 removing 3120482 relations and 2602336 ideals in 518146 cliques Wed Dec 29 03:52:44 2021 commencing in-memory singleton removal Wed Dec 29 03:52:46 2021 begin with 97188670 relations and 97789671 unique ideals Wed Dec 29 03:53:09 2021 reduce to 97113079 relations and 95111388 ideals in 7 passes Wed Dec 29 03:53:09 2021 max relations containing the same ideal: 97 Wed Dec 29 03:53:45 2021 relations with 0 large ideals: 18853 Wed Dec 29 03:53:45 2021 relations with 1 large ideals: 29627 Wed Dec 29 03:53:45 2021 relations with 2 large ideals: 423560 Wed Dec 29 03:53:45 2021 relations with 3 large ideals: 2667200 Wed Dec 29 03:53:45 2021 relations with 4 large ideals: 9235170 Wed Dec 29 03:53:45 2021 relations with 5 large ideals: 19425385 Wed Dec 29 03:53:45 2021 relations with 6 large ideals: 25912689 Wed Dec 29 03:53:45 2021 relations with 7+ large ideals: 39400595 Wed Dec 29 03:53:45 2021 commencing 2-way merge Wed Dec 29 03:54:20 2021 reduce to 60931141 relation sets and 58929450 unique ideals Wed Dec 29 03:54:20 2021 commencing full merge Wed Dec 29 04:09:06 2021 memory use: 7157.2 MB Wed Dec 29 04:09:10 2021 found 26876919 cycles, need 26789650 Wed Dec 29 04:09:16 2021 weight of 26789650 cycles is about 3215492332 (120.03/cycle) Wed Dec 29 04:09:16 2021 distribution of cycle lengths: Wed Dec 29 04:09:16 2021 1 relations: 2121141 Wed Dec 29 04:09:16 2021 2 relations: 2058706 Wed Dec 29 04:09:16 2021 3 relations: 2078781 Wed Dec 29 04:09:16 2021 4 relations: 1987287 Wed Dec 29 04:09:16 2021 5 relations: 1921640 Wed Dec 29 04:09:16 2021 6 relations: 1833428 Wed Dec 29 04:09:16 2021 7 relations: 1712214 Wed Dec 29 04:09:16 2021 8 relations: 1621052 Wed Dec 29 04:09:16 2021 9 relations: 1508508 Wed Dec 29 04:09:16 2021 10+ relations: 9946893 Wed Dec 29 04:09:16 2021 heaviest cycle: 28 relations Wed Dec 29 04:09:21 2021 commencing cycle optimization Wed Dec 29 04:09:59 2021 start with 225364008 relations Wed Dec 29 04:15:08 2021 pruned 8591502 relations Wed Dec 29 04:15:08 2021 memory use: 6282.5 MB Wed Dec 29 04:15:08 2021 distribution of cycle lengths: Wed Dec 29 04:15:08 2021 1 relations: 2121141 Wed Dec 29 04:15:08 2021 2 relations: 2111599 Wed Dec 29 04:15:08 2021 3 relations: 2163408 Wed Dec 29 04:15:08 2021 4 relations: 2058888 Wed Dec 29 04:15:08 2021 5 relations: 2000072 Wed Dec 29 04:15:08 2021 6 relations: 1896765 Wed Dec 29 04:15:08 2021 7 relations: 1776746 Wed Dec 29 04:15:08 2021 8 relations: 1671037 Wed Dec 29 04:15:08 2021 9 relations: 1551442 Wed Dec 29 04:15:08 2021 10+ relations: 9438552 Wed Dec 29 04:15:08 2021 heaviest cycle: 28 relations Wed Dec 29 04:15:44 2021 RelProcTime: 6069 Wed Dec 29 04:15:45 2021 Wed Dec 29 04:15:45 2021 commencing linear algebra Wed Dec 29 04:15:45 2021 using VBITS=384 Wed Dec 29 04:15:46 2021 read 26789650 cycles Wed Dec 29 04:16:24 2021 cycles contain 95827962 unique relations Wed Dec 29 04:21:43 2021 read 95827962 relations Wed Dec 29 04:23:51 2021 using 20 quadratic characters above 4294917295 Wed Dec 29 04:28:19 2021 building initial matrix Wed Dec 29 04:42:32 2021 memory use: 12661.1 MB Wed Dec 29 04:42:41 2021 read 26789650 cycles Wed Dec 29 04:42:44 2021 matrix is 26789470 x 26789650 (12635.4 MB) with weight 3628957509 (135.46/col) Wed Dec 29 04:42:44 2021 sparse part has weight 3017610846 (112.64/col) Wed Dec 29 04:45:47 2021 filtering completed in 2 passes Wed Dec 29 04:45:51 2021 matrix is 26787790 x 26787967 (12635.3 MB) with weight 3628898645 (135.47/col) Wed Dec 29 04:45:51 2021 sparse part has weight 3017591971 (112.65/col) Wed Dec 29 04:46:43 2021 matrix starts at (0, 0) Wed Dec 29 04:46:45 2021 matrix is 26787790 x 26787967 (12635.3 MB) with weight 3628898645 (135.47/col) Wed Dec 29 04:46:45 2021 sparse part has weight 3017591971 (112.65/col) Wed Dec 29 04:46:45 2021 saving the first 368 matrix rows for later Wed Dec 29 04:46:49 2021 matrix includes 384 packed rows Wed Dec 29 04:46:59 2021 matrix is 26787422 x 26787967 (11760.8 MB) with weight 2675201099 (99.87/col) Wed Dec 29 04:46:59 2021 sparse part has weight 2547253419 (95.09/col) Wed Dec 29 04:47:00 2021 using GPU 1 (Tesla V100-PCIE-32GB) Wed Dec 29 04:47:00 2021 selected card has CUDA arch 7.0 Wed Dec 29 04:49:00 2021 commencing Lanczos iteration Wed Dec 29 04:49:01 2021 memory use: 29652.8 MB Wed Dec 29 04:49:12 2021 linear algebra at 0.0%, ETA 32h20m Wed Dec 29 04:49:20 2021 checkpointing every 850000 dimensions Thu Dec 30 00:37:11 2021 lanczos halted after 47847 iterations (dim = 18336509) Thu Dec 30 00:37:12 2021 BLanczosTime: 73287 Thu Dec 30 02:00:17 2021 Thu Dec 30 02:00:17 2021 Thu Dec 30 02:00:17 2021 Msieve v. 1.54 (SVN unknown) Thu Dec 30 02:00:17 2021 random seeds: fd5788f8 9aeaec4e Thu Dec 30 02:00:17 2021 factoring 16984508117823427310621923675160679641235652649206694245726594672585627059310306808004459525481867152381988476757995127715163117139676407725704471541371722516646890394023743309370724488177242794749964367637069890096446764533332793173 (233 digits) Thu Dec 30 02:00:18 2021 no P-1/P+1/ECM available, skipping Thu Dec 30 02:00:18 2021 commencing number field sieve (233-digit input) Thu Dec 30 02:00:18 2021 R0: -82426820865386399639786808294030442496 Thu Dec 30 02:00:18 2021 R1: 650377879817809571042122834561 Thu Dec 30 02:00:18 2021 A0: 7 Thu Dec 30 02:00:18 2021 A1: 0 Thu Dec 30 02:00:18 2021 A2: 0 Thu Dec 30 02:00:18 2021 A3: 0 Thu Dec 30 02:00:18 2021 A4: 0 Thu Dec 30 02:00:18 2021 A5: 0 Thu Dec 30 02:00:18 2021 A6: 0 Thu Dec 30 02:00:18 2021 A7: 8 Thu Dec 30 02:00:18 2021 skew 0.98, size 6.979e-10, alpha 0.669, combined = 3.189e-14 rroots = 1 Thu Dec 30 02:00:18 2021 Thu Dec 30 02:00:18 2021 commencing linear algebra Thu Dec 30 02:00:18 2021 using VBITS=384 Thu Dec 30 02:00:32 2021 matrix starts at (0, 0) Thu Dec 30 02:00:38 2021 matrix is 26787790 x 26787967 (12635.3 MB) with weight 3628898645 (135.47/col) Thu Dec 30 02:00:38 2021 sparse part has weight 3017591971 (112.65/col) Thu Dec 30 02:00:38 2021 saving the first 368 matrix rows for later Thu Dec 30 02:00:46 2021 matrix includes 384 packed rows Thu Dec 30 02:00:56 2021 matrix is 26787422 x 26787967 (11760.8 MB) with weight 2675201099 (99.87/col) Thu Dec 30 02:00:56 2021 sparse part has weight 2547253419 (95.09/col) Thu Dec 30 02:00:56 2021 using GPU 1 (Tesla V100-PCIE-32GB) Thu Dec 30 02:00:56 2021 selected card has CUDA arch 7.0 Thu Dec 30 02:02:57 2021 commencing Lanczos iteration Thu Dec 30 02:02:59 2021 memory use: 29652.8 MB Thu Dec 30 02:03:08 2021 restarting at iteration 47847 (dim = 18336509) Thu Dec 30 02:03:17 2021 linear algebra at 68.5%, ETA 9h11m Thu Dec 30 02:03:23 2021 checkpointing every 920000 dimensions Thu Dec 30 11:10:41 2021 lanczos halted after 69900 iterations (dim = 26787418) Thu Dec 30 11:14:01 2021 recovered 35 nontrivial dependencies Thu Dec 30 11:14:02 2021 BLanczosTime: 33224 Thu Dec 30 11:14:02 2021 Thu Dec 30 11:14:02 2021 commencing square root phase Thu Dec 30 11:14:02 2021 reading relations for dependency 1 Thu Dec 30 11:14:04 2021 read 13394454 cycles Thu Dec 30 11:14:24 2021 cycles contain 47912502 unique relations Thu Dec 30 11:17:15 2021 read 47912502 relations Thu Dec 30 11:19:47 2021 multiplying 47912502 relations Thu Dec 30 11:59:59 2021 multiply complete, coefficients have about 1395.81 million bits Thu Dec 30 12:00:03 2021 initial square root is modulo 1824859 Thu Dec 30 12:38:57 2021 GCD is 1, no factor found Thu Dec 30 12:38:57 2021 reading relations for dependency 2 Thu Dec 30 12:39:00 2021 read 13392621 cycles Thu Dec 30 12:39:19 2021 cycles contain 47905308 unique relations Thu Dec 30 12:42:10 2021 read 47905308 relations Thu Dec 30 12:44:41 2021 multiplying 47905308 relations Thu Dec 30 13:24:32 2021 multiply complete, coefficients have about 1395.62 million bits Thu Dec 30 13:24:36 2021 initial square root is modulo 1821233 Thu Dec 30 14:03:42 2021 GCD is 1, no factor found Thu Dec 30 14:03:42 2021 reading relations for dependency 3 Thu Dec 30 14:03:45 2021 read 13391668 cycles Thu Dec 30 14:04:04 2021 cycles contain 47904022 unique relations Thu Dec 30 14:06:55 2021 read 47904022 relations Thu Dec 30 14:09:23 2021 multiplying 47904022 relations Thu Dec 30 14:49:12 2021 multiply complete, coefficients have about 1395.57 million bits Thu Dec 30 14:49:16 2021 initial square root is modulo 1820407 Thu Dec 30 15:28:20 2021 sqrtTime: 15258 Thu Dec 30 15:28:20 2021 p93 factor: 290677771092074014663519058801498197973220613209155357464299087193815797055264038930789695217 Thu Dec 30 15:28:20 2021 p140 factor: 58430708526533586900768074545194245894827833869411843256289808589342139595587502664283534625232878217880238724014666232589036900606566229669 Thu Dec 30 15:28:20 2021 elapsed time 13:28:03