Thu Jun 4 18:49:11 2026 Thu Jun 4 18:49:11 2026 Thu Jun 4 18:49:11 2026 Msieve v. 1.54 (SVN Unversioned directory) Thu Jun 4 18:49:11 2026 random seeds: b3bde4f4 7101c2b0 Thu Jun 4 18:49:11 2026 Using 8 OpenMP threads Thu Jun 4 18:49:11 2026 factoring 1998986083094601531876140167866953918517199891093559851304480393296030455506145168132674715482215007627431698395226176475009662748580977836846308751197483254701 (160 digits) Thu Jun 4 18:49:11 2026 no P-1/P+1/ECM available, skipping Thu Jun 4 18:49:11 2026 commencing number field sieve (160-digit input) Thu Jun 4 18:49:11 2026 R0: -17925747672535408588380374328683 Thu Jun 4 18:49:11 2026 R1: 56784604914184979 Thu Jun 4 18:49:11 2026 A0: -623715158744606144937006120416957470677480 Thu Jun 4 18:49:11 2026 A1: 32564673057916430294052548891899318 Thu Jun 4 18:49:11 2026 A2: 1073289457133562726022282619 Thu Jun 4 18:49:11 2026 A3: -31095796974055676108 Thu Jun 4 18:49:11 2026 A4: -297801729894 Thu Jun 4 18:49:11 2026 A5: 1080 Thu Jun 4 18:49:11 2026 skew 68268655.52, size 1.667e-15, alpha -8.073, combined = 1.527e-12 rroots = 5 Thu Jun 4 18:49:11 2026 Thu Jun 4 18:49:11 2026 commencing relation filtering Thu Jun 4 18:49:11 2026 estimated available RAM is 31872.1 MB Thu Jun 4 18:49:11 2026 commencing duplicate removal, pass 1 Thu Jun 4 18:49:57 2026 error -1 reading relation 44005937 Thu Jun 4 18:50:23 2026 error -1 reading relation 73798825 Thu Jun 4 18:50:25 2026 error -1 reading relation 75570614 Thu Jun 4 18:50:50 2026 error -1 reading relation 105466981 Thu Jun 4 18:50:50 2026 error -1 reading relation 105609025 Thu Jun 4 18:51:11 2026 error -1 reading relation 132096860 Thu Jun 4 18:51:15 2026 error -1 reading relation 137674361 Thu Jun 4 18:51:15 2026 error -1 reading relation 137733575 Thu Jun 4 18:51:16 2026 error -1 reading relation 138461918 Thu Jun 4 18:51:17 2026 skipped 103 malformed relations Thu Jun 4 18:51:17 2026 found 21021374 hash collisions in 140258917 relations Thu Jun 4 18:51:32 2026 added 122157 free relations Thu Jun 4 18:51:32 2026 commencing duplicate removal, pass 2 Thu Jun 4 18:52:05 2026 found 19696263 duplicates and 120684811 unique relations Thu Jun 4 18:52:05 2026 memory use: 788.8 MB Thu Jun 4 18:52:05 2026 reading ideals above 74907648 Thu Jun 4 18:52:05 2026 commencing singleton removal, initial pass Thu Jun 4 18:53:53 2026 memory use: 2756.0 MB Thu Jun 4 18:53:53 2026 reading all ideals from disk Thu Jun 4 18:53:54 2026 memory use: 2973.7 MB Thu Jun 4 18:53:59 2026 commencing in-memory singleton removal Thu Jun 4 18:54:00 2026 begin with 120684811 relations and 106506185 unique ideals Thu Jun 4 18:54:07 2026 reduce to 66568383 relations and 46352101 ideals in 14 passes Thu Jun 4 18:54:07 2026 max relations containing the same ideal: 49 Thu Jun 4 18:54:08 2026 reading ideals above 720000 Thu Jun 4 18:54:08 2026 commencing singleton removal, initial pass Thu Jun 4 18:55:50 2026 memory use: 1506.0 MB Thu Jun 4 18:55:51 2026 reading all ideals from disk Thu Jun 4 18:55:52 2026 memory use: 2976.1 MB Thu Jun 4 18:56:09 2026 keeping 54786407 ideals with weight <= 200, target excess is 344476 Thu Jun 4 18:56:13 2026 commencing in-memory singleton removal Thu Jun 4 18:56:15 2026 begin with 66568383 relations and 54786407 unique ideals Thu Jun 4 18:56:22 2026 reduce to 66558506 relations and 54776529 ideals in 9 passes Thu Jun 4 18:56:22 2026 max relations containing the same ideal: 200 Thu Jun 4 18:56:40 2026 removing 9721628 relations and 7721628 ideals in 2000000 cliques Thu Jun 4 18:56:42 2026 commencing in-memory singleton removal Thu Jun 4 18:56:43 2026 begin with 56836878 relations and 54776529 unique ideals Thu Jun 4 18:56:50 2026 reduce to 55775473 relations and 45954548 ideals in 10 passes Thu Jun 4 18:56:50 2026 max relations containing the same ideal: 189 Thu Jun 4 18:57:04 2026 removing 7588809 relations and 5588809 ideals in 2000000 cliques Thu Jun 4 18:57:06 2026 commencing in-memory singleton removal Thu Jun 4 18:57:07 2026 begin with 48186664 relations and 45954548 unique ideals Thu Jun 4 18:57:12 2026 reduce to 47409305 relations and 39561256 ideals in 10 passes Thu Jun 4 18:57:12 2026 max relations containing the same ideal: 172 Thu Jun 4 18:57:25 2026 removing 7000031 relations and 5000031 ideals in 2000000 cliques Thu Jun 4 18:57:26 2026 commencing in-memory singleton removal Thu Jun 4 18:57:27 2026 begin with 40409274 relations and 39561256 unique ideals Thu Jun 4 18:57:31 2026 reduce to 39666336 relations and 33789438 ideals in 9 passes Thu Jun 4 18:57:31 2026 max relations containing the same ideal: 152 Thu Jun 4 18:57:41 2026 removing 6720118 relations and 4720118 ideals in 2000000 cliques Thu Jun 4 18:57:43 2026 commencing in-memory singleton removal Thu Jun 4 18:57:44 2026 begin with 32946218 relations and 33789438 unique ideals Thu Jun 4 18:57:46 2026 reduce to 32158939 relations and 28246409 ideals in 8 passes Thu Jun 4 18:57:46 2026 max relations containing the same ideal: 132 Thu Jun 4 18:57:55 2026 removing 6562482 relations and 4562482 ideals in 2000000 cliques Thu Jun 4 18:57:56 2026 commencing in-memory singleton removal Thu Jun 4 18:57:57 2026 begin with 25596457 relations and 28246409 unique ideals Thu Jun 4 18:57:59 2026 reduce to 24705030 relations and 22742900 ideals in 8 passes Thu Jun 4 18:57:59 2026 max relations containing the same ideal: 114 Thu Jun 4 18:58:05 2026 removing 5316069 relations and 3753532 ideals in 1562537 cliques Thu Jun 4 18:58:06 2026 commencing in-memory singleton removal Thu Jun 4 18:58:07 2026 begin with 19388961 relations and 22742900 unique ideals Thu Jun 4 18:58:08 2026 reduce to 18637076 relations and 18195328 ideals in 8 passes Thu Jun 4 18:58:08 2026 max relations containing the same ideal: 96 Thu Jun 4 18:58:13 2026 removing 289315 relations and 247160 ideals in 42155 cliques Thu Jun 4 18:58:14 2026 commencing in-memory singleton removal Thu Jun 4 18:58:14 2026 begin with 18347761 relations and 18195328 unique ideals Thu Jun 4 18:58:15 2026 reduce to 18345402 relations and 17945804 ideals in 5 passes Thu Jun 4 18:58:15 2026 max relations containing the same ideal: 96 Thu Jun 4 18:58:17 2026 relations with 0 large ideals: 1136 Thu Jun 4 18:58:17 2026 relations with 1 large ideals: 3242 Thu Jun 4 18:58:17 2026 relations with 2 large ideals: 52879 Thu Jun 4 18:58:17 2026 relations with 3 large ideals: 393439 Thu Jun 4 18:58:17 2026 relations with 4 large ideals: 1551477 Thu Jun 4 18:58:17 2026 relations with 5 large ideals: 3571160 Thu Jun 4 18:58:17 2026 relations with 6 large ideals: 5065207 Thu Jun 4 18:58:17 2026 relations with 7+ large ideals: 7706862 Thu Jun 4 18:58:17 2026 commencing 2-way merge Thu Jun 4 18:58:23 2026 reduce to 11455458 relation sets and 11055860 unique ideals Thu Jun 4 18:58:23 2026 commencing full merge Thu Jun 4 19:00:19 2026 memory use: 1414.0 MB Thu Jun 4 19:00:19 2026 found 5776545 cycles, need 5724060 Thu Jun 4 19:00:20 2026 weight of 5724060 cycles is about 515445853 (90.05/cycle) Thu Jun 4 19:00:20 2026 distribution of cycle lengths: Thu Jun 4 19:00:20 2026 1 relations: 400814 Thu Jun 4 19:00:20 2026 2 relations: 518365 Thu Jun 4 19:00:20 2026 3 relations: 569436 Thu Jun 4 19:00:20 2026 4 relations: 563779 Thu Jun 4 19:00:20 2026 5 relations: 560580 Thu Jun 4 19:00:20 2026 6 relations: 523984 Thu Jun 4 19:00:20 2026 7 relations: 485388 Thu Jun 4 19:00:20 2026 8 relations: 425885 Thu Jun 4 19:00:20 2026 9 relations: 365857 Thu Jun 4 19:00:20 2026 10+ relations: 1309972 Thu Jun 4 19:00:20 2026 heaviest cycle: 22 relations Thu Jun 4 19:00:21 2026 commencing cycle optimization Thu Jun 4 19:00:27 2026 start with 38047983 relations Thu Jun 4 19:01:00 2026 pruned 1273455 relations Thu Jun 4 19:01:00 2026 memory use: 1153.3 MB Thu Jun 4 19:01:00 2026 distribution of cycle lengths: Thu Jun 4 19:01:00 2026 1 relations: 400814 Thu Jun 4 19:01:00 2026 2 relations: 530801 Thu Jun 4 19:01:00 2026 3 relations: 592549 Thu Jun 4 19:01:00 2026 4 relations: 583701 Thu Jun 4 19:01:00 2026 5 relations: 582950 Thu Jun 4 19:01:00 2026 6 relations: 542076 Thu Jun 4 19:01:00 2026 7 relations: 500171 Thu Jun 4 19:01:00 2026 8 relations: 434128 Thu Jun 4 19:01:00 2026 9 relations: 368450 Thu Jun 4 19:01:00 2026 10+ relations: 1188420 Thu Jun 4 19:01:00 2026 heaviest cycle: 22 relations Thu Jun 4 19:01:05 2026 RelProcTime: 714 Thu Jun 4 19:01:05 2026 Thu Jun 4 19:01:05 2026 commencing linear algebra Thu Jun 4 19:01:05 2026 using VBITS=64 Thu Jun 4 19:01:05 2026 read 5724060 cycles Thu Jun 4 19:01:09 2026 cycles contain 18106386 unique relations Thu Jun 4 19:01:23 2026 read 18106386 relations Thu Jun 4 19:01:27 2026 using 20 quadratic characters above 4294917295 Thu Jun 4 19:01:34 2026 building initial matrix Thu Jun 4 19:03:23 2026 memory use: 2542.4 MB Thu Jun 4 19:03:24 2026 read 5724060 cycles Thu Jun 4 19:03:25 2026 matrix is 5723882 x 5724060 (2130.7 MB) with weight 670445320 (117.13/col) Thu Jun 4 19:03:25 2026 sparse part has weight 489873604 (85.58/col) Thu Jun 4 19:03:59 2026 filtering completed in 2 passes Thu Jun 4 19:04:00 2026 matrix is 5723386 x 5723563 (2130.7 MB) with weight 670424188 (117.13/col) Thu Jun 4 19:04:00 2026 sparse part has weight 489868365 (85.59/col) Thu Jun 4 19:04:07 2026 matrix starts at (0, 0) Thu Jun 4 19:04:07 2026 matrix is 5723386 x 5723563 (2130.7 MB) with weight 670424188 (117.13/col) Thu Jun 4 19:04:07 2026 sparse part has weight 489868365 (85.59/col) Thu Jun 4 19:04:07 2026 saving the first 48 matrix rows for later Thu Jun 4 19:04:08 2026 matrix includes 64 packed rows Thu Jun 4 19:04:08 2026 matrix is 5723338 x 5723563 (2075.4 MB) with weight 552578053 (96.54/col) Thu Jun 4 19:04:08 2026 sparse part has weight 486821987 (85.06/col) Thu Jun 4 19:04:08 2026 using GPU 0 (NVIDIA GeForce RTX 3080) Thu Jun 4 19:04:08 2026 selected card has CUDA arch 8.6 Thu Jun 4 19:05:22 2026 commencing Lanczos iteration Thu Jun 4 19:05:23 2026 memory use: 4107.2 MB Thu Jun 4 19:05:54 2026 checking every 30000 dimensions, checkpointing every 2250000 dimensions Thu Jun 4 19:06:13 2026 linear algebra at 0.5%, ETA 2h36m Thu Jun 4 21:39:09 2026 lanczos halted after 90506 iterations (dim = 5723338) Thu Jun 4 21:39:12 2026 recovered 30 nontrivial dependencies Thu Jun 4 21:39:12 2026 BLanczosTime: 9487 Thu Jun 4 21:39:12 2026 Thu Jun 4 21:39:12 2026 commencing square root phase Thu Jun 4 21:39:12 2026 reading relations for dependency 1 Thu Jun 4 21:39:13 2026 read 2862123 cycles Thu Jun 4 21:39:15 2026 cycles contain 9057380 unique relations Thu Jun 4 21:39:44 2026 read 9057380 relations Thu Jun 4 21:40:04 2026 multiplying 9057380 relations Thu Jun 4 21:40:49 2026 multiply complete, coefficients have about 444.92 million bits Thu Jun 4 21:40:49 2026 initial square root is modulo 96226079 Thu Jun 4 21:42:08 2026 GCD is 1, no factor found Thu Jun 4 21:42:08 2026 reading relations for dependency 2 Thu Jun 4 21:42:08 2026 read 2862399 cycles Thu Jun 4 21:42:10 2026 cycles contain 9055932 unique relations Thu Jun 4 21:42:20 2026 read 9055932 relations Thu Jun 4 21:42:39 2026 multiplying 9055932 relations Thu Jun 4 21:43:24 2026 multiply complete, coefficients have about 444.85 million bits Thu Jun 4 21:43:25 2026 initial square root is modulo 95939273 Thu Jun 4 21:44:42 2026 GCD is N, no factor found Thu Jun 4 21:44:42 2026 reading relations for dependency 3 Thu Jun 4 21:44:43 2026 read 2862414 cycles Thu Jun 4 21:44:45 2026 cycles contain 9048072 unique relations Thu Jun 4 21:44:52 2026 read 9048072 relations Thu Jun 4 21:45:12 2026 multiplying 9048072 relations Thu Jun 4 21:45:56 2026 multiply complete, coefficients have about 444.46 million bits Thu Jun 4 21:45:57 2026 initial square root is modulo 94415687 Thu Jun 4 21:47:14 2026 GCD is N, no factor found Thu Jun 4 21:47:14 2026 reading relations for dependency 4 Thu Jun 4 21:47:14 2026 read 2861495 cycles Thu Jun 4 21:47:16 2026 cycles contain 9055262 unique relations Thu Jun 4 21:47:24 2026 read 9055262 relations Thu Jun 4 21:47:43 2026 multiplying 9055262 relations Thu Jun 4 21:48:28 2026 multiply complete, coefficients have about 444.82 million bits Thu Jun 4 21:48:29 2026 initial square root is modulo 95838157 Thu Jun 4 21:49:47 2026 GCD is 1, no factor found Thu Jun 4 21:49:47 2026 reading relations for dependency 5 Thu Jun 4 21:49:48 2026 read 2862601 cycles Thu Jun 4 21:49:50 2026 cycles contain 9054732 unique relations Thu Jun 4 21:49:58 2026 read 9054732 relations Thu Jun 4 21:50:17 2026 multiplying 9054732 relations Thu Jun 4 21:51:01 2026 multiply complete, coefficients have about 444.80 million bits Thu Jun 4 21:51:02 2026 initial square root is modulo 95746753 Thu Jun 4 21:52:20 2026 sqrtTime: 788 Thu Jun 4 21:52:20 2026 p76 factor: 6939372528499109118300337258126769483473774105249241188079770248265556124661 Thu Jun 4 21:52:20 2026 p84 factor: 288064385488028373856092520031260399129325279056911414007817559208714883104651527641 Thu Jun 4 21:52:20 2026 elapsed time 03:03:09