Wed Aug 5 08:14:49 2026 Msieve v. 1.54 (SVN Unversioned directory) Wed Aug 5 08:14:49 2026 random seeds: 3b9e8971 df7b3d8b Wed Aug 5 08:14:49 2026 Using 2 OpenMP threads Wed Aug 5 08:14:49 2026 factoring 15736153463320763085840169710565284002734027760555451958719371418010557776665558882697039925911695234715591575051998532420893408596815082260976164230927159169253164019 (167 digits) Wed Aug 5 08:14:50 2026 no P-1/P+1/ECM available, skipping Wed Aug 5 08:14:50 2026 commencing number field sieve (167-digit input) Wed Aug 5 08:14:50 2026 R0: -245507903472742858189864040347336 Wed Aug 5 08:14:50 2026 R1: 1012369730350753650599 Wed Aug 5 08:14:50 2026 A0: -240160297664352506413250279897227203060 Wed Aug 5 08:14:50 2026 A1: 101774814964191499757288291332090 Wed Aug 5 08:14:50 2026 A2: -30437118629468439109382427 Wed Aug 5 08:14:50 2026 A3: -5659308290423671207 Wed Aug 5 08:14:50 2026 A4: 8583720184572 Wed Aug 5 08:14:50 2026 A5: 211680 Wed Aug 5 08:14:50 2026 skew 3514248.59, size 5.034e-16, alpha -7.682, combined = 7.810e-13 rroots = 3 Wed Aug 5 08:14:50 2026 Wed Aug 5 08:14:50 2026 commencing relation filtering Wed Aug 5 08:14:50 2026 estimated available RAM is 31871.6 MB Wed Aug 5 08:14:50 2026 commencing duplicate removal, pass 1 Wed Aug 5 08:15:08 2026 error -1 reading relation 2448810 Wed Aug 5 08:15:38 2026 error -1 reading relation 6355096 Wed Aug 5 08:16:35 2026 error -1 reading relation 14182426 Wed Aug 5 08:16:39 2026 error -1 reading relation 14635597 Wed Aug 5 08:16:51 2026 error -1 reading relation 16132046 Wed Aug 5 08:16:58 2026 error -1 reading relation 16899168 Wed Aug 5 08:16:58 2026 error -1 reading relation 16899169 Wed Aug 5 08:17:16 2026 error -1 reading relation 19288531 Wed Aug 5 08:17:25 2026 error -1 reading relation 20427623 Wed Aug 5 08:17:25 2026 error -1 reading relation 20427624 Wed Aug 5 08:17:46 2026 error -11 reading relation 23322821 Wed Aug 5 08:18:01 2026 error -1 reading relation 25287657 Wed Aug 5 08:18:43 2026 error -1 reading relation 30430109 Wed Aug 5 08:18:51 2026 error -1 reading relation 31498360 Wed Aug 5 08:21:14 2026 error -1 reading relation 51486439 Wed Aug 5 08:21:14 2026 error -1 reading relation 51486440 Wed Aug 5 08:21:14 2026 error -1 reading relation 51486441 Wed Aug 5 08:21:28 2026 error -1 reading relation 53356681 Wed Aug 5 08:21:32 2026 error -11 reading relation 53930735 Wed Aug 5 08:21:36 2026 error -1 reading relation 54445548 Wed Aug 5 08:22:04 2026 error -1 reading relation 58365657 Wed Aug 5 08:22:08 2026 error -1 reading relation 58983620 Wed Aug 5 08:22:14 2026 error -1 reading relation 59767205 Wed Aug 5 08:22:16 2026 error -6 reading relation 60090907 Wed Aug 5 08:22:36 2026 error -1 reading relation 62840296 Wed Aug 5 08:22:41 2026 error -1 reading relation 63560600 Wed Aug 5 08:22:46 2026 error -1 reading relation 64232175 Wed Aug 5 08:22:57 2026 error -1 reading relation 65769287 Wed Aug 5 08:22:59 2026 error -1 reading relation 66016380 Wed Aug 5 08:23:04 2026 error -1 reading relation 66678448 Wed Aug 5 08:23:45 2026 error -1 reading relation 72320237 Wed Aug 5 08:23:45 2026 error -1 reading relation 72320238 Wed Aug 5 08:23:45 2026 error -1 reading relation 72350026 Wed Aug 5 08:23:55 2026 error -1 reading relation 73744947 Wed Aug 5 08:24:02 2026 error -1 reading relation 74718760 Wed Aug 5 08:24:13 2026 error -1 reading relation 76167278 Wed Aug 5 08:24:13 2026 error -1 reading relation 76167279 Wed Aug 5 08:24:13 2026 error -11 reading relation 76167280 Wed Aug 5 08:24:38 2026 error -1 reading relation 79719372 Wed Aug 5 08:26:55 2026 error -1 reading relation 99437034 Wed Aug 5 08:27:12 2026 error -1 reading relation 101808459 Wed Aug 5 08:28:01 2026 error -1 reading relation 108640058 Wed Aug 5 08:28:29 2026 error -1 reading relation 112669970 Wed Aug 5 08:28:40 2026 error -1 reading relation 114106516 Wed Aug 5 08:31:15 2026 error -1 reading relation 134826002 Wed Aug 5 08:31:20 2026 error -1 reading relation 135657652 Wed Aug 5 08:31:23 2026 skipped 6 malformed relations Wed Aug 5 08:31:23 2026 found 4134817 hash collisions in 136013343 relations Wed Aug 5 08:31:58 2026 added 122160 free relations Wed Aug 5 08:31:58 2026 commencing duplicate removal, pass 2 Wed Aug 5 08:36:01 2026 found 0 duplicates and 136135503 unique relations Wed Aug 5 08:36:01 2026 memory use: 405.2 MB Wed Aug 5 08:36:01 2026 reading ideals above 93913088 Wed Aug 5 08:36:01 2026 commencing singleton removal, initial pass Wed Aug 5 08:54:47 2026 memory use: 3012.0 MB Wed Aug 5 08:54:47 2026 reading all ideals from disk Wed Aug 5 08:55:08 2026 memory use: 3424.5 MB Wed Aug 5 08:55:38 2026 commencing in-memory singleton removal Wed Aug 5 08:55:49 2026 begin with 136135503 relations and 115429242 unique ideals Wed Aug 5 08:56:42 2026 reduce to 84533831 relations and 58491726 ideals in 14 passes Wed Aug 5 08:56:42 2026 max relations containing the same ideal: 46 Wed Aug 5 08:56:49 2026 reading ideals above 720000 Wed Aug 5 08:56:50 2026 commencing singleton removal, initial pass Wed Aug 5 09:12:16 2026 memory use: 1506.0 MB Wed Aug 5 09:12:16 2026 reading all ideals from disk Wed Aug 5 09:12:49 2026 memory use: 3846.7 MB Wed Aug 5 09:13:14 2026 keeping 68918794 ideals with weight <= 200, target excess is 432272 Wed Aug 5 09:13:33 2026 commencing in-memory singleton removal Wed Aug 5 09:13:45 2026 begin with 84533831 relations and 68918794 unique ideals Wed Aug 5 09:14:48 2026 reduce to 84519554 relations and 68904517 ideals in 9 passes Wed Aug 5 09:14:48 2026 max relations containing the same ideal: 200 Wed Aug 5 09:16:17 2026 removing 9502161 relations and 7502161 ideals in 2000000 cliques Wed Aug 5 09:16:23 2026 commencing in-memory singleton removal Wed Aug 5 09:16:34 2026 begin with 75017393 relations and 68904517 unique ideals Wed Aug 5 09:17:27 2026 reduce to 74195139 relations and 60556548 ideals in 9 passes Wed Aug 5 09:17:27 2026 max relations containing the same ideal: 192 Wed Aug 5 09:18:40 2026 removing 7487315 relations and 5487315 ideals in 2000000 cliques Wed Aug 5 09:18:45 2026 commencing in-memory singleton removal Wed Aug 5 09:18:55 2026 begin with 66707824 relations and 60556548 unique ideals Wed Aug 5 09:19:39 2026 reduce to 66104590 relations and 54450195 ideals in 8 passes Wed Aug 5 09:19:39 2026 max relations containing the same ideal: 180 Wed Aug 5 09:20:47 2026 removing 6945993 relations and 4945993 ideals in 2000000 cliques Wed Aug 5 09:20:52 2026 commencing in-memory singleton removal Wed Aug 5 09:20:59 2026 begin with 59158597 relations and 54450195 unique ideals Wed Aug 5 09:21:36 2026 reduce to 58588082 relations and 48917603 ideals in 7 passes Wed Aug 5 09:21:36 2026 max relations containing the same ideal: 168 Wed Aug 5 09:22:36 2026 removing 6710491 relations and 4710491 ideals in 2000000 cliques Wed Aug 5 09:22:41 2026 commencing in-memory singleton removal Wed Aug 5 09:22:48 2026 begin with 51877591 relations and 48917603 unique ideals Wed Aug 5 09:23:32 2026 reduce to 51289462 relations and 43600855 ideals in 10 passes Wed Aug 5 09:23:32 2026 max relations containing the same ideal: 154 Wed Aug 5 09:24:24 2026 removing 6598757 relations and 4598757 ideals in 2000000 cliques Wed Aug 5 09:24:29 2026 commencing in-memory singleton removal Wed Aug 5 09:24:35 2026 begin with 44690705 relations and 43600855 unique ideals Wed Aug 5 09:25:01 2026 reduce to 44052181 relations and 38341302 ideals in 7 passes Wed Aug 5 09:25:01 2026 max relations containing the same ideal: 144 Wed Aug 5 09:25:47 2026 removing 6567385 relations and 4567385 ideals in 2000000 cliques Wed Aug 5 09:25:51 2026 commencing in-memory singleton removal Wed Aug 5 09:25:56 2026 begin with 37484796 relations and 38341302 unique ideals Wed Aug 5 09:26:20 2026 reduce to 36756487 relations and 33016550 ideals in 8 passes Wed Aug 5 09:26:20 2026 max relations containing the same ideal: 132 Wed Aug 5 09:26:57 2026 removing 6592715 relations and 4592715 ideals in 2000000 cliques Wed Aug 5 09:27:01 2026 commencing in-memory singleton removal Wed Aug 5 09:27:05 2026 begin with 30163772 relations and 33016550 unique ideals Wed Aug 5 09:27:29 2026 reduce to 29286439 relations and 27504527 ideals in 10 passes Wed Aug 5 09:27:29 2026 max relations containing the same ideal: 108 Wed Aug 5 09:28:00 2026 removing 4705368 relations and 3424892 ideals in 1280476 cliques Wed Aug 5 09:28:03 2026 commencing in-memory singleton removal Wed Aug 5 09:28:06 2026 begin with 24581071 relations and 27504527 unique ideals Wed Aug 5 09:28:22 2026 reduce to 24024769 relations and 23501701 ideals in 9 passes Wed Aug 5 09:28:22 2026 max relations containing the same ideal: 94 Wed Aug 5 09:28:50 2026 removing 164475 relations and 142843 ideals in 21632 cliques Wed Aug 5 09:28:52 2026 commencing in-memory singleton removal Wed Aug 5 09:28:55 2026 begin with 23860294 relations and 23501701 unique ideals Wed Aug 5 09:29:03 2026 reduce to 23859676 relations and 23358240 ideals in 5 passes Wed Aug 5 09:29:03 2026 max relations containing the same ideal: 94 Wed Aug 5 09:29:09 2026 relations with 0 large ideals: 1563 Wed Aug 5 09:29:09 2026 relations with 1 large ideals: 4259 Wed Aug 5 09:29:09 2026 relations with 2 large ideals: 72210 Wed Aug 5 09:29:09 2026 relations with 3 large ideals: 523619 Wed Aug 5 09:29:09 2026 relations with 4 large ideals: 2029407 Wed Aug 5 09:29:09 2026 relations with 5 large ideals: 4633855 Wed Aug 5 09:29:09 2026 relations with 6 large ideals: 6560860 Wed Aug 5 09:29:09 2026 relations with 7+ large ideals: 10033903 Wed Aug 5 09:29:09 2026 commencing 2-way merge Wed Aug 5 09:29:45 2026 reduce to 15069093 relation sets and 14567657 unique ideals Wed Aug 5 09:29:45 2026 commencing full merge Wed Aug 5 09:39:47 2026 memory use: 1811.4 MB Wed Aug 5 09:39:51 2026 found 7493098 cycles, need 7427857 Wed Aug 5 09:39:55 2026 weight of 7427857 cycles is about 668795044 (90.04/cycle) Wed Aug 5 09:39:55 2026 distribution of cycle lengths: Wed Aug 5 09:39:55 2026 1 relations: 589256 Wed Aug 5 09:39:55 2026 2 relations: 691525 Wed Aug 5 09:39:55 2026 3 relations: 738859 Wed Aug 5 09:39:55 2026 4 relations: 716109 Wed Aug 5 09:39:55 2026 5 relations: 705814 Wed Aug 5 09:39:55 2026 6 relations: 665969 Wed Aug 5 09:39:55 2026 7 relations: 612946 Wed Aug 5 09:39:55 2026 8 relations: 542415 Wed Aug 5 09:39:55 2026 9 relations: 467820 Wed Aug 5 09:39:55 2026 10+ relations: 1697144 Wed Aug 5 09:39:55 2026 heaviest cycle: 23 relations Wed Aug 5 09:39:57 2026 commencing cycle optimization Wed Aug 5 09:40:22 2026 start with 48984811 relations Wed Aug 5 09:43:08 2026 pruned 1630766 relations Wed Aug 5 09:43:11 2026 memory use: 1490.2 MB Wed Aug 5 09:43:11 2026 distribution of cycle lengths: Wed Aug 5 09:43:11 2026 1 relations: 589256 Wed Aug 5 09:43:11 2026 2 relations: 708664 Wed Aug 5 09:43:11 2026 3 relations: 768290 Wed Aug 5 09:43:11 2026 4 relations: 740963 Wed Aug 5 09:43:11 2026 5 relations: 733068 Wed Aug 5 09:43:11 2026 6 relations: 688472 Wed Aug 5 09:43:11 2026 7 relations: 631919 Wed Aug 5 09:43:11 2026 8 relations: 552739 Wed Aug 5 09:43:11 2026 9 relations: 471970 Wed Aug 5 09:43:11 2026 10+ relations: 1542516 Wed Aug 5 09:43:11 2026 heaviest cycle: 23 relations Wed Aug 5 09:43:35 2026 RelProcTime: 5325 Wed Aug 5 09:43:36 2026 Wed Aug 5 09:43:36 2026 commencing linear algebra Wed Aug 5 09:43:36 2026 using VBITS=256 Wed Aug 5 09:43:37 2026 read 7427857 cycles Wed Aug 5 09:43:55 2026 cycles contain 23550172 unique relations Wed Aug 5 09:48:50 2026 read 23550172 relations Wed Aug 5 09:50:12 2026 using 20 quadratic characters above 4294917295 Wed Aug 5 09:51:34 2026 building initial matrix Wed Aug 5 09:59:17 2026 memory use: 3252.5 MB Wed Aug 5 09:59:28 2026 read 7427857 cycles Wed Aug 5 09:59:30 2026 matrix is 7427679 x 7427857 (2765.9 MB) with weight 861286959 (115.95/col) Wed Aug 5 09:59:30 2026 sparse part has weight 635929332 (85.61/col) Wed Aug 5 10:01:33 2026 filtering completed in 2 passes Wed Aug 5 10:01:37 2026 matrix is 7426771 x 7426947 (2765.8 MB) with weight 861248786 (115.96/col) Wed Aug 5 10:01:37 2026 sparse part has weight 635919501 (85.62/col) Wed Aug 5 10:02:04 2026 matrix starts at (0, 0) Wed Aug 5 10:02:05 2026 matrix is 7426771 x 7426947 (2765.8 MB) with weight 861248786 (115.96/col) Wed Aug 5 10:02:05 2026 sparse part has weight 635919501 (85.62/col) Wed Aug 5 10:02:05 2026 saving the first 240 matrix rows for later Wed Aug 5 10:02:07 2026 matrix includes 256 packed rows Wed Aug 5 10:02:11 2026 matrix is 7426531 x 7426947 (2522.2 MB) with weight 580157218 (78.12/col) Wed Aug 5 10:02:11 2026 sparse part has weight 542341082 (73.02/col) Wed Aug 5 10:02:12 2026 using GPU 0 (NVIDIA GeForce RTX 3080) Wed Aug 5 10:02:12 2026 selected card has CUDA arch 8.6 Wed Aug 5 10:03:48 2026 commencing Lanczos iteration Wed Aug 5 10:03:50 2026 memory use: 6234.3 MB Wed Aug 5 10:04:19 2026 linear algebra at 0.4%, ETA 1h52m Wed Aug 5 10:05:01 2026 checking every 60000 dimensions, checkpointing every 3960000 dimensions Wed Aug 5 11:59:00 2026 lanczos halted after 29099 iterations (dim = 7426531) Wed Aug 5 11:59:44 2026 recovered 31 nontrivial dependencies Wed Aug 5 11:59:45 2026 BLanczosTime: 8169 Wed Aug 5 11:59:45 2026 Wed Aug 5 11:59:45 2026 commencing square root phase Wed Aug 5 11:59:45 2026 handling dependencies 1 to 64 Wed Aug 5 11:59:45 2026 reading relations for dependency 1 Wed Aug 5 11:59:47 2026 read 3717644 cycles Wed Aug 5 11:59:58 2026 cycles contain 11784970 unique relations Wed Aug 5 12:04:06 2026 read 11784970 relations Wed Aug 5 12:07:20 2026 multiplying 11784970 relations Wed Aug 5 12:13:03 2026 multiply complete, coefficients have about 655.18 million bits Wed Aug 5 12:13:08 2026 initial square root is modulo 755057 Wed Aug 5 12:24:21 2026 sqrtTime: 1476 Wed Aug 5 12:24:21 2026 p62 factor: 10455847353596246987757410896541275561823095960391660532375157 Wed Aug 5 12:24:21 2026 p106 factor: 1505009869707821994489833616194675937051830837421011392695257558949534584046978292621479732578065309850567 Wed Aug 5 12:24:21 2026 elapsed time 04:09:32