Wed Apr 15 20:14:03 2026 Wed Apr 15 20:14:03 2026 Wed Apr 15 20:14:03 2026 Msieve v. 1.54 (SVN unknown) Wed Apr 15 20:14:03 2026 random seeds: e3a29fcd a5fc7cd4 Wed Apr 15 20:14:03 2026 factoring 110110443784185091754451201098609996056976837279819991916083874803960371116813980200258997441014825602851493612262839134493583324501455000965930451992000952662204227103621149819 (177 digits) Wed Apr 15 20:14:04 2026 no P-1/P+1/ECM available, skipping Wed Apr 15 20:14:04 2026 commencing number field sieve (177-digit input) Wed Apr 15 20:14:04 2026 R0: 1 Wed Apr 15 20:14:04 2026 R1: -77955989736611561233531864293547353502771661761 Wed Apr 15 20:14:04 2026 A0: -528399468913 Wed Apr 15 20:14:04 2026 A1: 0 Wed Apr 15 20:14:04 2026 A2: 0 Wed Apr 15 20:14:04 2026 A3: 0 Wed Apr 15 20:14:04 2026 A4: 1 Wed Apr 15 20:14:04 2026 skew 545.91, size 1.205e-21, alpha -0.431, combined = 1.154e-12 rroots = 2 Wed Apr 15 20:14:04 2026 Wed Apr 15 20:14:04 2026 commencing relation filtering Wed Apr 15 20:14:04 2026 setting target matrix density to 100.0 Wed Apr 15 20:14:04 2026 estimated available RAM is 7902.4 MB Wed Apr 15 20:14:04 2026 commencing duplicate removal, pass 1 Wed Apr 15 20:25:17 2026 error -15 reading relation 116480082 Wed Apr 15 20:26:08 2026 found 6812571 hash collisions in 125674503 relations Wed Apr 15 20:26:17 2026 added 1829814 free relations Wed Apr 15 20:26:17 2026 commencing duplicate removal, pass 2 Wed Apr 15 20:26:56 2026 found 0 duplicates and 127504317 unique relations Wed Apr 15 20:26:56 2026 memory use: 394.4 MB Wed Apr 15 20:26:56 2026 reading ideals above 89980928 Wed Apr 15 20:26:56 2026 commencing singleton removal, initial pass Wed Apr 15 20:35:31 2026 memory use: 3012.0 MB Wed Apr 15 20:35:31 2026 reading all ideals from disk Wed Apr 15 20:35:36 2026 memory use: 2115.1 MB Wed Apr 15 20:35:40 2026 commencing in-memory singleton removal Wed Apr 15 20:35:44 2026 begin with 127504317 relations and 110189035 unique ideals Wed Apr 15 20:36:21 2026 reduce to 72261439 relations and 48422975 ideals in 14 passes Wed Apr 15 20:36:21 2026 max relations containing the same ideal: 43 Wed Apr 15 20:36:24 2026 reading ideals above 720000 Wed Apr 15 20:36:24 2026 commencing singleton removal, initial pass Wed Apr 15 20:42:42 2026 memory use: 1506.0 MB Wed Apr 15 20:42:42 2026 reading all ideals from disk Wed Apr 15 20:42:50 2026 memory use: 2696.9 MB Wed Apr 15 20:42:56 2026 keeping 58476707 ideals with weight <= 200, target excess is 376933 Wed Apr 15 20:43:02 2026 commencing in-memory singleton removal Wed Apr 15 20:43:07 2026 begin with 72261439 relations and 58476707 unique ideals Wed Apr 15 20:43:46 2026 reduce to 72240596 relations and 58455857 ideals in 8 passes Wed Apr 15 20:43:46 2026 max relations containing the same ideal: 200 Wed Apr 15 20:44:15 2026 removing 9785676 relations and 7785676 ideals in 2000000 cliques Wed Apr 15 20:44:18 2026 commencing in-memory singleton removal Wed Apr 15 20:44:22 2026 begin with 62454920 relations and 58455857 unique ideals Wed Apr 15 20:44:54 2026 reduce to 61445187 relations and 49625188 ideals in 8 passes Wed Apr 15 20:44:54 2026 max relations containing the same ideal: 188 Wed Apr 15 20:45:16 2026 removing 7595354 relations and 5595354 ideals in 2000000 cliques Wed Apr 15 20:45:18 2026 commencing in-memory singleton removal Wed Apr 15 20:45:22 2026 begin with 53849833 relations and 49625188 unique ideals Wed Apr 15 20:45:48 2026 reduce to 53131031 relations and 43287573 ideals in 9 passes Wed Apr 15 20:45:48 2026 max relations containing the same ideal: 172 Wed Apr 15 20:46:06 2026 removing 6973509 relations and 4973509 ideals in 2000000 cliques Wed Apr 15 20:46:08 2026 commencing in-memory singleton removal Wed Apr 15 20:46:11 2026 begin with 46157522 relations and 43287573 unique ideals Wed Apr 15 20:46:31 2026 reduce to 45490893 relations and 37623850 ideals in 8 passes Wed Apr 15 20:46:31 2026 max relations containing the same ideal: 155 Wed Apr 15 20:46:47 2026 removing 6664334 relations and 4664334 ideals in 2000000 cliques Wed Apr 15 20:46:49 2026 commencing in-memory singleton removal Wed Apr 15 20:46:51 2026 begin with 38826559 relations and 37623850 unique ideals Wed Apr 15 20:47:05 2026 reduce to 38154880 relations and 32261171 ideals in 7 passes Wed Apr 15 20:47:05 2026 max relations containing the same ideal: 138 Wed Apr 15 20:47:19 2026 removing 6468127 relations and 4468127 ideals in 2000000 cliques Wed Apr 15 20:47:20 2026 commencing in-memory singleton removal Wed Apr 15 20:47:22 2026 begin with 31686753 relations and 32261171 unique ideals Wed Apr 15 20:47:34 2026 reduce to 30974072 relations and 27047052 ideals in 7 passes Wed Apr 15 20:47:34 2026 max relations containing the same ideal: 122 Wed Apr 15 20:47:44 2026 removing 6315558 relations and 4315558 ideals in 2000000 cliques Wed Apr 15 20:47:46 2026 commencing in-memory singleton removal Wed Apr 15 20:47:48 2026 begin with 24658514 relations and 27047052 unique ideals Wed Apr 15 20:47:59 2026 reduce to 23869323 relations and 21897244 ideals in 9 passes Wed Apr 15 20:47:59 2026 max relations containing the same ideal: 100 Wed Apr 15 20:48:07 2026 removing 4980771 relations and 3445935 ideals in 1534837 cliques Wed Apr 15 20:48:08 2026 commencing in-memory singleton removal Wed Apr 15 20:48:09 2026 begin with 18888552 relations and 21897244 unique ideals Wed Apr 15 20:48:17 2026 reduce to 18268162 relations and 17795686 ideals in 8 passes Wed Apr 15 20:48:17 2026 max relations containing the same ideal: 84 Wed Apr 15 20:48:23 2026 removing 225759 relations and 190526 ideals in 35233 cliques Wed Apr 15 20:48:24 2026 commencing in-memory singleton removal Wed Apr 15 20:48:25 2026 begin with 18042403 relations and 17795686 unique ideals Wed Apr 15 20:48:29 2026 reduce to 18040900 relations and 17603654 ideals in 5 passes Wed Apr 15 20:48:29 2026 max relations containing the same ideal: 83 Wed Apr 15 20:48:32 2026 relations with 0 large ideals: 18175 Wed Apr 15 20:48:32 2026 relations with 1 large ideals: 3686 Wed Apr 15 20:48:32 2026 relations with 2 large ideals: 50982 Wed Apr 15 20:48:32 2026 relations with 3 large ideals: 378774 Wed Apr 15 20:48:32 2026 relations with 4 large ideals: 1496199 Wed Apr 15 20:48:32 2026 relations with 5 large ideals: 3856784 Wed Apr 15 20:48:32 2026 relations with 6 large ideals: 4825832 Wed Apr 15 20:48:32 2026 relations with 7+ large ideals: 7410468 Wed Apr 15 20:48:32 2026 commencing 2-way merge Wed Apr 15 20:48:40 2026 reduce to 11701010 relation sets and 11263764 unique ideals Wed Apr 15 20:48:40 2026 commencing full merge Wed Apr 15 20:51:50 2026 memory use: 1500.9 MB Wed Apr 15 20:51:51 2026 found 5668453 cycles, need 5621964 Wed Apr 15 20:51:53 2026 weight of 5621964 cycles is about 562258105 (100.01/cycle) Wed Apr 15 20:51:53 2026 distribution of cycle lengths: Wed Apr 15 20:51:53 2026 1 relations: 226726 Wed Apr 15 20:51:53 2026 2 relations: 377884 Wed Apr 15 20:51:53 2026 3 relations: 460228 Wed Apr 15 20:51:53 2026 4 relations: 482073 Wed Apr 15 20:51:53 2026 5 relations: 489377 Wed Apr 15 20:51:53 2026 6 relations: 480373 Wed Apr 15 20:51:53 2026 7 relations: 459833 Wed Apr 15 20:51:53 2026 8 relations: 425911 Wed Apr 15 20:51:53 2026 9 relations: 385514 Wed Apr 15 20:51:53 2026 10+ relations: 1834045 Wed Apr 15 20:51:53 2026 heaviest cycle: 28 relations Wed Apr 15 20:51:54 2026 commencing cycle optimization Wed Apr 15 20:52:02 2026 start with 44494631 relations Wed Apr 15 20:53:12 2026 pruned 1861485 relations Wed Apr 15 20:53:12 2026 memory use: 1214.3 MB Wed Apr 15 20:53:12 2026 distribution of cycle lengths: Wed Apr 15 20:53:12 2026 1 relations: 226726 Wed Apr 15 20:53:12 2026 2 relations: 386899 Wed Apr 15 20:53:12 2026 3 relations: 480217 Wed Apr 15 20:53:12 2026 4 relations: 502040 Wed Apr 15 20:53:12 2026 5 relations: 514033 Wed Apr 15 20:53:12 2026 6 relations: 502674 Wed Apr 15 20:53:12 2026 7 relations: 482505 Wed Apr 15 20:53:12 2026 8 relations: 442222 Wed Apr 15 20:53:12 2026 9 relations: 397984 Wed Apr 15 20:53:12 2026 10+ relations: 1686664 Wed Apr 15 20:53:12 2026 heaviest cycle: 28 relations Wed Apr 15 20:53:21 2026 RelProcTime: 2357 Wed Apr 15 20:53:21 2026 Wed Apr 15 20:53:21 2026 commencing linear algebra Wed Apr 15 20:53:21 2026 using VBITS=512 Wed Apr 15 20:53:21 2026 read 5621964 cycles Wed Apr 15 20:53:30 2026 cycles contain 17804619 unique relations Wed Apr 15 20:54:37 2026 read 17804619 relations Wed Apr 15 20:54:56 2026 using 20 quadratic characters above 4294917295 Wed Apr 15 20:56:06 2026 building initial matrix Wed Apr 15 20:58:57 2026 memory use: 2337.2 MB Wed Apr 15 20:58:59 2026 read 5621964 cycles Wed Apr 15 20:59:00 2026 matrix is 5621787 x 5621964 (2262.3 MB) with weight 668505607 (118.91/col) Wed Apr 15 20:59:00 2026 sparse part has weight 531205763 (94.49/col) Wed Apr 15 20:59:52 2026 filtering completed in 2 passes Wed Apr 15 20:59:53 2026 matrix is 5621562 x 5621725 (2262.3 MB) with weight 668497002 (118.91/col) Wed Apr 15 20:59:53 2026 sparse part has weight 531202771 (94.49/col) Wed Apr 15 21:00:07 2026 matrix starts at (0, 0) Wed Apr 15 21:00:08 2026 matrix is 5621562 x 5621725 (2262.3 MB) with weight 668497002 (118.91/col) Wed Apr 15 21:00:08 2026 sparse part has weight 531202771 (94.49/col) Wed Apr 15 21:00:08 2026 saving the first 496 matrix rows for later Wed Apr 15 21:00:09 2026 matrix includes 512 packed rows Wed Apr 15 21:00:13 2026 matrix is 5621066 x 5621725 (2161.4 MB) with weight 456499983 (81.20/col) Wed Apr 15 21:00:13 2026 sparse part has weight 431671250 (76.79/col) Wed Apr 15 21:00:13 2026 using GPU 0 (NVIDIA GeForce RTX 3060) Wed Apr 15 21:00:13 2026 selected card has CUDA arch 8.6 Wed Apr 15 21:00:44 2026 commencing Lanczos iteration Wed Apr 15 21:00:45 2026 memory use: 6252.8 MB Wed Apr 15 21:01:05 2026 linear algebra at 0.3%, ETA 2h 1m Wed Apr 15 21:01:05 2026 checkpointing every 2860000 dimensions Wed Apr 15 22:57:19 2026 lanczos halted after 10997 iterations (dim = 5621065) Wed Apr 15 22:58:48 2026 recovered 33 nontrivial dependencies Wed Apr 15 22:58:49 2026 BLanczosTime: 7528 Wed Apr 15 22:58:49 2026 Wed Apr 15 22:58:49 2026 commencing square root phase Wed Apr 15 22:58:49 2026 handling dependencies 1 to 64 Wed Apr 15 22:58:49 2026 reading relations for dependency 1 Wed Apr 15 22:58:58 2026 read 2811449 cycles Wed Apr 15 22:59:03 2026 cycles contain 8904850 unique relations Wed Apr 15 23:00:18 2026 read 8904850 relations Wed Apr 15 23:01:01 2026 multiplying 8904850 relations Wed Apr 15 23:04:19 2026 multiply complete, coefficients have about 265.99 million bits Wed Apr 15 23:04:19 2026 initial square root is modulo 59333 Wed Apr 15 23:08:43 2026 GCD is 1, no factor found Wed Apr 15 23:08:43 2026 reading relations for dependency 2 Wed Apr 15 23:08:44 2026 read 2811704 cycles Wed Apr 15 23:08:49 2026 cycles contain 8904036 unique relations Wed Apr 15 23:09:54 2026 read 8904036 relations Wed Apr 15 23:10:42 2026 multiplying 8904036 relations Wed Apr 15 23:13:50 2026 multiply complete, coefficients have about 265.96 million bits Wed Apr 15 23:13:51 2026 initial square root is modulo 59233 Wed Apr 15 23:17:57 2026 sqrtTime: 1148 Wed Apr 15 23:17:57 2026 p86 factor: 16865625482267948938430867651492032069615846739272717547360599264070307507601969078067 Wed Apr 15 23:17:57 2026 p91 factor: 6528690198887207576516216372210757196474940700508453116295240374147792054173431290531100057 Wed Apr 15 23:17:57 2026 elapsed time 03:03:54