Mon Aug 31 10:16:46 2026 Msieve v. 1.54 (SVN Unversioned directory) Mon Aug 31 10:16:46 2026 random seeds: 1ec2e58b 2add3e97 Mon Aug 31 10:16:46 2026 factoring 2918513635028827658097651962894831365324388449569453299688325320967728484266646532940246444873931274637264042514936758216173634117268563637154900215140230993 (157 digits) Mon Aug 31 10:16:46 2026 no P-1/P+1/ECM available, skipping Mon Aug 31 10:16:46 2026 commencing number field sieve (157-digit input) Mon Aug 31 10:16:46 2026 R0: -4099568374941186672948818623274 Mon Aug 31 10:16:46 2026 R1: 196421728604405918417 Mon Aug 31 10:16:46 2026 A0: -65860667648341779809143914544712842275 Mon Aug 31 10:16:46 2026 A1: -35129254593669021799643959564448 Mon Aug 31 10:16:46 2026 A2: 20924236727220857623962197 Mon Aug 31 10:16:46 2026 A3: -404853582553979042 Mon Aug 31 10:16:46 2026 A4: 8559786468 Mon Aug 31 10:16:46 2026 A5: 2520 Mon Aug 31 10:16:46 2026 skew 11904760.61, size 4.938e-15, alpha -7.427, combined = 3.003e-12 rroots = 3 Mon Aug 31 10:16:46 2026 Mon Aug 31 10:16:46 2026 commencing relation filtering Mon Aug 31 10:16:46 2026 estimated available RAM is 31871.6 MB Mon Aug 31 10:16:46 2026 commencing duplicate removal, pass 1 Mon Aug 31 10:18:01 2026 error -1 reading relation 7353498 Mon Aug 31 10:18:30 2026 error -11 reading relation 10273135 Mon Aug 31 10:19:33 2026 error -1 reading relation 16546837 Mon Aug 31 10:19:33 2026 error -1 reading relation 16546838 Mon Aug 31 10:19:38 2026 error -1 reading relation 17126695 Mon Aug 31 10:20:55 2026 error -1 reading relation 24888392 Mon Aug 31 10:20:55 2026 error -1 reading relation 24888393 Mon Aug 31 10:20:57 2026 error -1 reading relation 25122549 Mon Aug 31 10:23:00 2026 error -1 reading relation 37398433 Mon Aug 31 10:23:47 2026 error -1 reading relation 42014026 Mon Aug 31 10:24:18 2026 error -1 reading relation 45117847 Mon Aug 31 10:24:18 2026 error -1 reading relation 45117848 Mon Aug 31 10:24:43 2026 error -1 reading relation 47815141 Mon Aug 31 10:24:43 2026 error -1 reading relation 47815142 Mon Aug 31 10:25:23 2026 error -1 reading relation 51788451 Mon Aug 31 10:25:43 2026 error -1 reading relation 53960759 Mon Aug 31 10:26:01 2026 error -1 reading relation 55633863 Mon Aug 31 10:26:26 2026 error -1 reading relation 57959435 Mon Aug 31 10:26:39 2026 error -1 reading relation 59281836 Mon Aug 31 10:26:39 2026 error -1 reading relation 59281837 Mon Aug 31 10:27:06 2026 skipped 5 malformed relations Mon Aug 31 10:27:06 2026 found 1713497 hash collisions in 61823923 relations Mon Aug 31 10:27:39 2026 added 122045 free relations Mon Aug 31 10:27:39 2026 commencing duplicate removal, pass 2 Mon Aug 31 10:28:08 2026 found 0 duplicates and 61945968 unique relations Mon Aug 31 10:28:08 2026 memory use: 202.6 MB Mon Aug 31 10:28:08 2026 reading ideals above 720000 Mon Aug 31 10:28:09 2026 commencing singleton removal, initial pass Mon Aug 31 10:39:15 2026 memory use: 1506.0 MB Mon Aug 31 10:39:15 2026 reading all ideals from disk Mon Aug 31 10:39:22 2026 memory use: 2698.0 MB Mon Aug 31 10:39:34 2026 keeping 60960529 ideals with weight <= 200, target excess is 337720 Mon Aug 31 10:39:44 2026 commencing in-memory singleton removal Mon Aug 31 10:39:56 2026 begin with 61945968 relations and 60960529 unique ideals Mon Aug 31 10:41:02 2026 reduce to 32592211 relations and 27960152 ideals in 15 passes Mon Aug 31 10:41:02 2026 max relations containing the same ideal: 136 Mon Aug 31 10:41:34 2026 removing 5208229 relations and 4208229 ideals in 1000000 cliques Mon Aug 31 10:41:36 2026 commencing in-memory singleton removal Mon Aug 31 10:41:41 2026 begin with 27383982 relations and 27960152 unique ideals Mon Aug 31 10:42:05 2026 reduce to 26773613 relations and 23118807 ideals in 9 passes Mon Aug 31 10:42:05 2026 max relations containing the same ideal: 122 Mon Aug 31 10:42:31 2026 removing 4053124 relations and 3053124 ideals in 1000000 cliques Mon Aug 31 10:42:34 2026 commencing in-memory singleton removal Mon Aug 31 10:42:37 2026 begin with 22720489 relations and 23118807 unique ideals Mon Aug 31 10:42:54 2026 reduce to 22270537 relations and 19599492 ideals in 8 passes Mon Aug 31 10:42:54 2026 max relations containing the same ideal: 105 Mon Aug 31 10:43:16 2026 removing 3713831 relations and 2713831 ideals in 1000000 cliques Mon Aug 31 10:43:18 2026 commencing in-memory singleton removal Mon Aug 31 10:43:21 2026 begin with 18556706 relations and 19599492 unique ideals Mon Aug 31 10:43:36 2026 reduce to 18121757 relations and 16432996 ideals in 9 passes Mon Aug 31 10:43:36 2026 max relations containing the same ideal: 95 Mon Aug 31 10:43:53 2026 removing 3537947 relations and 2537947 ideals in 1000000 cliques Mon Aug 31 10:43:55 2026 commencing in-memory singleton removal Mon Aug 31 10:43:57 2026 begin with 14583810 relations and 16432996 unique ideals Mon Aug 31 10:44:08 2026 reduce to 14124615 relations and 13413339 ideals in 9 passes Mon Aug 31 10:44:08 2026 max relations containing the same ideal: 80 Mon Aug 31 10:44:21 2026 removing 1412580 relations and 1093060 ideals in 319520 cliques Mon Aug 31 10:44:22 2026 commencing in-memory singleton removal Mon Aug 31 10:44:24 2026 begin with 12712035 relations and 13413339 unique ideals Mon Aug 31 10:44:31 2026 reduce to 12629829 relations and 12236476 ideals in 6 passes Mon Aug 31 10:44:31 2026 max relations containing the same ideal: 77 Mon Aug 31 10:44:45 2026 relations with 0 large ideals: 1164 Mon Aug 31 10:44:45 2026 relations with 1 large ideals: 4585 Mon Aug 31 10:44:45 2026 relations with 2 large ideals: 68957 Mon Aug 31 10:44:45 2026 relations with 3 large ideals: 442249 Mon Aug 31 10:44:45 2026 relations with 4 large ideals: 1506390 Mon Aug 31 10:44:45 2026 relations with 5 large ideals: 2964330 Mon Aug 31 10:44:45 2026 relations with 6 large ideals: 3552608 Mon Aug 31 10:44:45 2026 relations with 7+ large ideals: 4089546 Mon Aug 31 10:44:45 2026 commencing 2-way merge Mon Aug 31 10:45:04 2026 reduce to 8017185 relation sets and 7623832 unique ideals Mon Aug 31 10:45:04 2026 commencing full merge Mon Aug 31 10:49:34 2026 memory use: 966.5 MB Mon Aug 31 10:49:35 2026 found 4021552 cycles, need 3968032 Mon Aug 31 10:49:38 2026 weight of 3968032 cycles is about 357335883 (90.05/cycle) Mon Aug 31 10:49:38 2026 distribution of cycle lengths: Mon Aug 31 10:49:38 2026 1 relations: 232031 Mon Aug 31 10:49:38 2026 2 relations: 353701 Mon Aug 31 10:49:38 2026 3 relations: 397992 Mon Aug 31 10:49:38 2026 4 relations: 396627 Mon Aug 31 10:49:38 2026 5 relations: 390188 Mon Aug 31 10:49:38 2026 6 relations: 365617 Mon Aug 31 10:49:38 2026 7 relations: 339303 Mon Aug 31 10:49:38 2026 8 relations: 303995 Mon Aug 31 10:49:38 2026 9 relations: 263749 Mon Aug 31 10:49:38 2026 10+ relations: 924829 Mon Aug 31 10:49:38 2026 heaviest cycle: 21 relations Mon Aug 31 10:49:40 2026 commencing cycle optimization Mon Aug 31 10:49:53 2026 start with 26563441 relations Mon Aug 31 10:51:11 2026 pruned 908134 relations Mon Aug 31 10:51:12 2026 memory use: 797.6 MB Mon Aug 31 10:51:12 2026 distribution of cycle lengths: Mon Aug 31 10:51:12 2026 1 relations: 232031 Mon Aug 31 10:51:12 2026 2 relations: 362797 Mon Aug 31 10:51:12 2026 3 relations: 415255 Mon Aug 31 10:51:12 2026 4 relations: 411733 Mon Aug 31 10:51:12 2026 5 relations: 406259 Mon Aug 31 10:51:12 2026 6 relations: 377970 Mon Aug 31 10:51:12 2026 7 relations: 350302 Mon Aug 31 10:51:12 2026 8 relations: 310392 Mon Aug 31 10:51:12 2026 9 relations: 266599 Mon Aug 31 10:51:12 2026 10+ relations: 834694 Mon Aug 31 10:51:12 2026 heaviest cycle: 21 relations Mon Aug 31 10:51:20 2026 RelProcTime: 2074 Mon Aug 31 10:51:21 2026 Mon Aug 31 10:51:21 2026 commencing linear algebra Mon Aug 31 10:51:21 2026 using VBITS=256 Mon Aug 31 10:51:22 2026 read 3968032 cycles Mon Aug 31 10:51:30 2026 cycles contain 12394212 unique relations Mon Aug 31 10:52:55 2026 read 12394212 relations Mon Aug 31 10:53:38 2026 using 20 quadratic characters above 4294917295 Mon Aug 31 10:55:00 2026 building initial matrix Mon Aug 31 10:58:36 2026 memory use: 1691.1 MB Mon Aug 31 10:58:39 2026 read 3968032 cycles Mon Aug 31 10:58:39 2026 matrix is 3967854 x 3968032 (1464.7 MB) with weight 456883412 (115.14/col) Mon Aug 31 10:58:39 2026 sparse part has weight 340323357 (85.77/col) Mon Aug 31 10:59:35 2026 filtering completed in 2 passes Mon Aug 31 10:59:37 2026 matrix is 3967458 x 3967636 (1464.7 MB) with weight 456866844 (115.15/col) Mon Aug 31 10:59:37 2026 sparse part has weight 340318690 (85.77/col) Mon Aug 31 10:59:47 2026 matrix starts at (0, 0) Mon Aug 31 10:59:48 2026 matrix is 3967458 x 3967636 (1464.7 MB) with weight 456866844 (115.15/col) Mon Aug 31 10:59:48 2026 sparse part has weight 340318690 (85.77/col) Mon Aug 31 10:59:48 2026 saving the first 240 matrix rows for later Mon Aug 31 10:59:49 2026 matrix includes 256 packed rows Mon Aug 31 10:59:51 2026 matrix is 3967218 x 3967636 (1335.2 MB) with weight 306946086 (77.36/col) Mon Aug 31 10:59:51 2026 sparse part has weight 286521024 (72.21/col) Mon Aug 31 10:59:52 2026 using GPU 0 (NVIDIA GeForce RTX 3080) Mon Aug 31 10:59:52 2026 selected card has CUDA arch 8.6 Mon Aug 31 11:00:39 2026 commencing Lanczos iteration Mon Aug 31 11:00:40 2026 memory use: 3245.5 MB Mon Aug 31 11:00:56 2026 linear algebra at 0.8%, ETA 0h34m Mon Aug 31 11:01:18 2026 checking every 120000 dimensions, checkpointing every 7320000 dimensions Mon Aug 31 11:33:19 2026 lanczos halted after 15544 iterations (dim = 3967218) Mon Aug 31 11:33:42 2026 recovered 30 nontrivial dependencies Mon Aug 31 11:33:42 2026 BLanczosTime: 2541 Mon Aug 31 11:33:42 2026 Mon Aug 31 11:33:42 2026 commencing square root phase Mon Aug 31 11:33:42 2026 handling dependencies 1 to 64 Mon Aug 31 11:33:42 2026 reading relations for dependency 1 Mon Aug 31 11:33:43 2026 read 1985310 cycles Mon Aug 31 11:33:48 2026 cycles contain 6198976 unique relations Mon Aug 31 11:34:35 2026 read 6198976 relations Mon Aug 31 11:35:16 2026 multiplying 6198976 relations Mon Aug 31 11:42:07 2026 multiply complete, coefficients have about 295.85 million bits Mon Aug 31 11:42:09 2026 initial square root is modulo 203579 Mon Aug 31 11:48:54 2026 sqrtTime: 912 Mon Aug 31 11:48:54 2026 p70 factor: 4274102750250357645671893071333145185499374707636407812071894481861127 Mon Aug 31 11:48:54 2026 p87 factor: 682836563734429244505742098922434182764224800870198231901427841927801932746136138243559 Mon Aug 31 11:48:54 2026 elapsed time 01:32:08