Wed Apr 29 09:26:01 2026 Wed Apr 29 09:26:01 2026 Wed Apr 29 09:26:01 2026 Msieve v. 1.54 (SVN unknown) Wed Apr 29 09:26:01 2026 random seeds: f0f02873 160e3f39 Wed Apr 29 09:26:01 2026 factoring 12087575616523429891240536181857388696050570872740711640472656036076797671930878012854434139564461849139356602237536481928657164564009431515800165262999089415151308362756281385446862573808427860109 (197 digits) Wed Apr 29 09:26:02 2026 no P-1/P+1/ECM available, skipping Wed Apr 29 09:26:02 2026 commencing number field sieve (197-digit input) Wed Apr 29 09:26:02 2026 R0: 2283972622382936151385732484526901628329 Wed Apr 29 09:26:02 2026 R1: -1 Wed Apr 29 09:26:02 2026 A0: 1 Wed Apr 29 09:26:02 2026 A1: 1 Wed Apr 29 09:26:02 2026 A2: 1 Wed Apr 29 09:26:02 2026 A3: 1 Wed Apr 29 09:26:02 2026 A4: 1 Wed Apr 29 09:26:02 2026 A5: 1 Wed Apr 29 09:26:02 2026 A6: 1 Wed Apr 29 09:26:02 2026 skew 1.35, size 1.105e-11, alpha 2.428, combined = 6.899e-13 rroots = 0 Wed Apr 29 09:26:02 2026 Wed Apr 29 09:26:02 2026 commencing relation filtering Wed Apr 29 09:26:02 2026 setting target matrix density to 100.0 Wed Apr 29 09:26:02 2026 estimated available RAM is 7902.4 MB Wed Apr 29 09:26:02 2026 commencing duplicate removal, pass 1 Wed Apr 29 09:37:10 2026 skipped 3 relations with b > 2^32 Wed Apr 29 09:37:10 2026 found 5597195 hash collisions in 113485430 relations Wed Apr 29 09:37:17 2026 added 2438534 free relations Wed Apr 29 09:37:17 2026 commencing duplicate removal, pass 2 Wed Apr 29 09:37:50 2026 found 0 duplicates and 115923964 unique relations Wed Apr 29 09:37:50 2026 memory use: 378.4 MB Wed Apr 29 09:37:50 2026 reading ideals above 87883776 Wed Apr 29 09:37:50 2026 commencing singleton removal, initial pass Wed Apr 29 09:46:38 2026 memory use: 2756.0 MB Wed Apr 29 09:46:38 2026 reading all ideals from disk Wed Apr 29 09:46:43 2026 memory use: 1991.9 MB Wed Apr 29 09:46:47 2026 commencing in-memory singleton removal Wed Apr 29 09:46:50 2026 begin with 115923964 relations and 106475475 unique ideals Wed Apr 29 09:47:30 2026 reduce to 59466773 relations and 42573586 ideals in 17 passes Wed Apr 29 09:47:30 2026 max relations containing the same ideal: 31 Wed Apr 29 09:47:33 2026 reading ideals above 720000 Wed Apr 29 09:47:33 2026 commencing singleton removal, initial pass Wed Apr 29 09:53:30 2026 memory use: 1378.0 MB Wed Apr 29 09:53:30 2026 reading all ideals from disk Wed Apr 29 09:53:36 2026 memory use: 2247.5 MB Wed Apr 29 09:53:41 2026 keeping 52469098 ideals with weight <= 200, target excess is 306003 Wed Apr 29 09:53:47 2026 commencing in-memory singleton removal Wed Apr 29 09:53:51 2026 begin with 59466773 relations and 52469098 unique ideals Wed Apr 29 09:54:25 2026 reduce to 59463377 relations and 52465686 ideals in 8 passes Wed Apr 29 09:54:25 2026 max relations containing the same ideal: 200 Wed Apr 29 09:54:51 2026 removing 6503835 relations and 5503835 ideals in 1000000 cliques Wed Apr 29 09:54:53 2026 commencing in-memory singleton removal Wed Apr 29 09:54:57 2026 begin with 52959542 relations and 52465686 unique ideals Wed Apr 29 09:55:30 2026 reduce to 52337031 relations and 46325720 ideals in 9 passes Wed Apr 29 09:55:30 2026 max relations containing the same ideal: 193 Wed Apr 29 09:55:53 2026 removing 5022344 relations and 4022344 ideals in 1000000 cliques Wed Apr 29 09:55:54 2026 commencing in-memory singleton removal Wed Apr 29 09:55:58 2026 begin with 47314687 relations and 46325720 unique ideals Wed Apr 29 09:56:24 2026 reduce to 46904059 relations and 41884780 ideals in 8 passes Wed Apr 29 09:56:24 2026 max relations containing the same ideal: 180 Wed Apr 29 09:56:43 2026 removing 4571538 relations and 3571538 ideals in 1000000 cliques Wed Apr 29 09:56:45 2026 commencing in-memory singleton removal Wed Apr 29 09:56:48 2026 begin with 42332521 relations and 41884780 unique ideals Wed Apr 29 09:57:14 2026 reduce to 41967517 relations and 37940730 ideals in 9 passes Wed Apr 29 09:57:14 2026 max relations containing the same ideal: 170 Wed Apr 29 09:57:31 2026 removing 4335929 relations and 3335929 ideals in 1000000 cliques Wed Apr 29 09:57:33 2026 commencing in-memory singleton removal Wed Apr 29 09:57:35 2026 begin with 37631588 relations and 37940730 unique ideals Wed Apr 29 09:57:58 2026 reduce to 37276025 relations and 34241476 ideals in 9 passes Wed Apr 29 09:57:58 2026 max relations containing the same ideal: 155 Wed Apr 29 09:58:13 2026 removing 4188657 relations and 3188657 ideals in 1000000 cliques Wed Apr 29 09:58:14 2026 commencing in-memory singleton removal Wed Apr 29 09:58:16 2026 begin with 33087368 relations and 34241476 unique ideals Wed Apr 29 09:58:35 2026 reduce to 32724399 relations and 30681024 ideals in 9 passes Wed Apr 29 09:58:35 2026 max relations containing the same ideal: 141 Wed Apr 29 09:58:48 2026 removing 4087315 relations and 3087315 ideals in 1000000 cliques Wed Apr 29 09:58:50 2026 commencing in-memory singleton removal Wed Apr 29 09:58:51 2026 begin with 28637084 relations and 30681024 unique ideals Wed Apr 29 09:59:05 2026 reduce to 28249633 relations and 27196044 ideals in 8 passes Wed Apr 29 09:59:05 2026 max relations containing the same ideal: 129 Wed Apr 29 09:59:16 2026 removing 3021912 relations and 2323287 ideals in 698625 cliques Wed Apr 29 09:59:17 2026 commencing in-memory singleton removal Wed Apr 29 09:59:18 2026 begin with 25227721 relations and 27196044 unique ideals Wed Apr 29 09:59:30 2026 reduce to 24994401 relations and 24634346 ideals in 8 passes Wed Apr 29 09:59:30 2026 max relations containing the same ideal: 120 Wed Apr 29 09:59:44 2026 relations with 0 large ideals: 23399 Wed Apr 29 09:59:44 2026 relations with 1 large ideals: 2835 Wed Apr 29 09:59:44 2026 relations with 2 large ideals: 29561 Wed Apr 29 09:59:44 2026 relations with 3 large ideals: 250363 Wed Apr 29 09:59:44 2026 relations with 4 large ideals: 1179699 Wed Apr 29 09:59:44 2026 relations with 5 large ideals: 3325880 Wed Apr 29 09:59:44 2026 relations with 6 large ideals: 5853804 Wed Apr 29 09:59:44 2026 relations with 7+ large ideals: 14328860 Wed Apr 29 09:59:44 2026 commencing 2-way merge Wed Apr 29 09:59:57 2026 reduce to 15786348 relation sets and 15426293 unique ideals Wed Apr 29 09:59:57 2026 commencing full merge Wed Apr 29 10:05:00 2026 memory use: 2160.8 MB Wed Apr 29 10:05:01 2026 found 7508646 cycles, need 7490493 Wed Apr 29 10:05:03 2026 weight of 7490493 cycles is about 749258626 (100.03/cycle) Wed Apr 29 10:05:03 2026 distribution of cycle lengths: Wed Apr 29 10:05:03 2026 1 relations: 542175 Wed Apr 29 10:05:03 2026 2 relations: 606374 Wed Apr 29 10:05:03 2026 3 relations: 634903 Wed Apr 29 10:05:03 2026 4 relations: 619691 Wed Apr 29 10:05:03 2026 5 relations: 597154 Wed Apr 29 10:05:03 2026 6 relations: 565761 Wed Apr 29 10:05:03 2026 7 relations: 529957 Wed Apr 29 10:05:03 2026 8 relations: 493840 Wed Apr 29 10:05:03 2026 9 relations: 448406 Wed Apr 29 10:05:03 2026 10+ relations: 2452232 Wed Apr 29 10:05:03 2026 heaviest cycle: 28 relations Wed Apr 29 10:05:05 2026 commencing cycle optimization Wed Apr 29 10:05:17 2026 start with 58763160 relations Wed Apr 29 10:06:58 2026 pruned 2144820 relations Wed Apr 29 10:06:58 2026 memory use: 1640.5 MB Wed Apr 29 10:06:58 2026 distribution of cycle lengths: Wed Apr 29 10:06:58 2026 1 relations: 542175 Wed Apr 29 10:06:58 2026 2 relations: 617794 Wed Apr 29 10:06:58 2026 3 relations: 656849 Wed Apr 29 10:06:58 2026 4 relations: 639400 Wed Apr 29 10:06:58 2026 5 relations: 620473 Wed Apr 29 10:06:58 2026 6 relations: 584974 Wed Apr 29 10:06:58 2026 7 relations: 550137 Wed Apr 29 10:06:58 2026 8 relations: 508230 Wed Apr 29 10:06:58 2026 9 relations: 460796 Wed Apr 29 10:06:58 2026 10+ relations: 2309665 Wed Apr 29 10:06:58 2026 heaviest cycle: 28 relations Wed Apr 29 10:07:10 2026 RelProcTime: 2468 Wed Apr 29 10:07:10 2026 elapsed time 00:41:09 Wed Apr 29 12:03:38 2026 Wed Apr 29 12:03:38 2026 Wed Apr 29 12:03:38 2026 Msieve v. 1.54 (SVN unknown) Wed Apr 29 12:03:38 2026 random seeds: 789f84d6 e1175544 Wed Apr 29 12:03:38 2026 factoring 12087575616523429891240536181857388696050570872740711640472656036076797671930878012854434139564461849139356602237536481928657164564009431515800165262999089415151308362756281385446862573808427860109 (197 digits) Wed Apr 29 12:03:39 2026 no P-1/P+1/ECM available, skipping Wed Apr 29 12:03:39 2026 commencing number field sieve (197-digit input) Wed Apr 29 12:03:39 2026 R0: 2283972622382936151385732484526901628329 Wed Apr 29 12:03:39 2026 R1: -1 Wed Apr 29 12:03:39 2026 A0: 1 Wed Apr 29 12:03:39 2026 A1: 1 Wed Apr 29 12:03:39 2026 A2: 1 Wed Apr 29 12:03:39 2026 A3: 1 Wed Apr 29 12:03:39 2026 A4: 1 Wed Apr 29 12:03:39 2026 A5: 1 Wed Apr 29 12:03:39 2026 A6: 1 Wed Apr 29 12:03:39 2026 skew 1.35, size 1.105e-11, alpha 2.428, combined = 6.899e-13 rroots = 0 Wed Apr 29 12:03:39 2026 Wed Apr 29 12:03:39 2026 commencing linear algebra Wed Apr 29 12:03:39 2026 using VBITS=512 Wed Apr 29 12:03:39 2026 read 7490493 cycles Wed Apr 29 12:03:52 2026 cycles contain 24717532 unique relations Wed Apr 29 12:05:30 2026 read 24717532 relations Wed Apr 29 12:06:03 2026 using 20 quadratic characters above 4294917295 Wed Apr 29 12:07:39 2026 building initial matrix Wed Apr 29 12:11:23 2026 memory use: 3029.8 MB Wed Apr 29 12:11:26 2026 read 7490493 cycles Wed Apr 29 12:11:27 2026 matrix is 7490316 x 7490493 (3024.4 MB) with weight 863796490 (115.32/col) Wed Apr 29 12:11:27 2026 sparse part has weight 710444064 (94.85/col) Wed Apr 29 12:12:33 2026 filtering completed in 2 passes Wed Apr 29 12:12:34 2026 matrix is 7490040 x 7490183 (3024.4 MB) with weight 863786744 (115.32/col) Wed Apr 29 12:12:34 2026 sparse part has weight 710440531 (94.85/col) Wed Apr 29 12:13:01 2026 matrix starts at (0, 0) Wed Apr 29 12:13:02 2026 matrix is 7490040 x 7490183 (3024.4 MB) with weight 863786744 (115.32/col) Wed Apr 29 12:13:02 2026 sparse part has weight 710440531 (94.85/col) Wed Apr 29 12:13:02 2026 saving the first 496 matrix rows for later Wed Apr 29 12:13:03 2026 matrix includes 512 packed rows Wed Apr 29 12:13:08 2026 matrix is 7489544 x 7490183 (2896.1 MB) with weight 611947780 (81.70/col) Wed Apr 29 12:13:08 2026 sparse part has weight 579428022 (77.36/col) Wed Apr 29 12:13:09 2026 using GPU 0 (NVIDIA GeForce RTX 3060) Wed Apr 29 12:13:09 2026 selected card has CUDA arch 8.6 Wed Apr 29 12:13:55 2026 commencing Lanczos iteration Wed Apr 29 15:00:52 2026 Wed Apr 29 15:00:52 2026 Wed Apr 29 15:00:52 2026 Msieve v. 1.54 (SVN unknown) Wed Apr 29 15:00:52 2026 random seeds: b9db9c22 6ba21f55 Wed Apr 29 15:00:52 2026 factoring 12087575616523429891240536181857388696050570872740711640472656036076797671930878012854434139564461849139356602237536481928657164564009431515800165262999089415151308362756281385446862573808427860109 (197 digits) Wed Apr 29 15:00:53 2026 no P-1/P+1/ECM available, skipping Wed Apr 29 15:00:53 2026 commencing number field sieve (197-digit input) Wed Apr 29 15:00:53 2026 R0: 2283972622382936151385732484526901628329 Wed Apr 29 15:00:53 2026 R1: -1 Wed Apr 29 15:00:53 2026 A0: 1 Wed Apr 29 15:00:53 2026 A1: 1 Wed Apr 29 15:00:53 2026 A2: 1 Wed Apr 29 15:00:53 2026 A3: 1 Wed Apr 29 15:00:53 2026 A4: 1 Wed Apr 29 15:00:53 2026 A5: 1 Wed Apr 29 15:00:53 2026 A6: 1 Wed Apr 29 15:00:53 2026 skew 1.35, size 1.105e-11, alpha 2.428, combined = 6.899e-13 rroots = 0 Wed Apr 29 15:00:53 2026 Wed Apr 29 15:00:53 2026 commencing linear algebra Wed Apr 29 15:00:53 2026 using VBITS=512 Wed Apr 29 15:00:53 2026 skipping matrix build Wed Apr 29 15:01:00 2026 matrix starts at (0, 0) Wed Apr 29 15:01:01 2026 matrix is 7490040 x 7490183 (3024.4 MB) with weight 863786744 (115.32/col) Wed Apr 29 15:01:01 2026 sparse part has weight 710440531 (94.85/col) Wed Apr 29 15:01:01 2026 saving the first 496 matrix rows for later Wed Apr 29 15:01:03 2026 matrix includes 512 packed rows Wed Apr 29 15:01:08 2026 matrix is 7489544 x 7490183 (2896.1 MB) with weight 611947780 (81.70/col) Wed Apr 29 15:01:08 2026 sparse part has weight 579428022 (77.36/col) Wed Apr 29 15:01:08 2026 using GPU 0 (NVIDIA GeForce RTX 3060) Wed Apr 29 15:01:08 2026 selected card has CUDA arch 8.6 Wed Apr 29 15:01:54 2026 commencing Lanczos iteration Wed Apr 29 15:01:56 2026 memory use: 8420.9 MB Wed Apr 29 15:02:25 2026 linear algebra at 0.2%, ETA 3h23m Wed Apr 29 15:02:26 2026 checkpointing every 2200000 dimensions Wed Apr 29 18:30:10 2026 lanczos halted after 14651 iterations (dim = 7489544) Wed Apr 29 18:31:24 2026 recovered 40 nontrivial dependencies Wed Apr 29 18:31:24 2026 BLanczosTime: 12631 Wed Apr 29 18:31:24 2026 Wed Apr 29 18:31:24 2026 commencing square root phase Wed Apr 29 18:31:24 2026 handling dependencies 1 to 64 Wed Apr 29 18:31:24 2026 reading relations for dependency 1 Wed Apr 29 18:31:42 2026 read 3746165 cycles Wed Apr 29 18:31:48 2026 cycles contain 12360354 unique relations Wed Apr 29 18:32:40 2026 read 12360354 relations Wed Apr 29 18:33:21 2026 multiplying 12360354 relations Wed Apr 29 18:39:23 2026 multiply complete, coefficients have about 302.99 million bits Wed Apr 29 18:39:24 2026 initial square root is modulo 273367 Wed Apr 29 18:46:12 2026 GCD is 1, no factor found Wed Apr 29 18:46:12 2026 reading relations for dependency 2 Wed Apr 29 18:46:13 2026 read 3744515 cycles Wed Apr 29 18:46:18 2026 cycles contain 12359376 unique relations Wed Apr 29 18:47:10 2026 read 12359376 relations Wed Apr 29 18:47:55 2026 multiplying 12359376 relations Wed Apr 29 18:53:57 2026 multiply complete, coefficients have about 302.96 million bits Wed Apr 29 18:53:58 2026 initial square root is modulo 272989 Wed Apr 29 19:00:46 2026 GCD is 1, no factor found Wed Apr 29 19:00:46 2026 reading relations for dependency 3 Wed Apr 29 19:00:47 2026 read 3743714 cycles Wed Apr 29 19:00:53 2026 cycles contain 12355522 unique relations Wed Apr 29 19:01:45 2026 read 12355522 relations Wed Apr 29 19:02:30 2026 multiplying 12355522 relations Wed Apr 29 19:10:20 2026 multiply complete, coefficients have about 302.87 million bits Wed Apr 29 19:10:23 2026 initial square root is modulo 271967 Wed Apr 29 19:19:55 2026 sqrtTime: 2911 Wed Apr 29 19:19:55 2026 p85 factor: 3893708940860033054595350026039007166164209643768922947230893453945351737846206428781 Wed Apr 29 19:19:55 2026 p112 factor: 3104386023741557656489591526520186202399447646622039287870049868310521079756474234861294280214699385212035030689 Wed Apr 29 19:19:55 2026 elapsed time 04:19:03