Wed Nov 12 08:11:37 2025 Wed Nov 12 08:11:37 2025 Wed Nov 12 08:11:37 2025 Msieve v. 1.54 (SVN Unversioned directory) Wed Nov 12 08:11:37 2025 random seeds: 392d54fe ae01a0b1 Wed Nov 12 08:11:37 2025 Using 8 OpenMP threads Wed Nov 12 08:11:37 2025 factoring 110355573760337024099216784227476390863500126235509599491793043683806204526876863449458216657082231205725589508097252222543295175543007634026037396837528151753681 (162 digits) Wed Nov 12 08:11:38 2025 searching for 15-digit factors Wed Nov 12 08:11:37 2025 commencing number field sieve (162-digit input) Wed Nov 12 08:11:37 2025 R0: -25520176693240113818118569389104 Wed Nov 12 08:11:37 2025 R1: 323959558294793232403 Wed Nov 12 08:11:37 2025 A0: -783295790421809976560021305624279930 Wed Nov 12 08:11:37 2025 A1: -18839298982118035538200447054509 Wed Nov 12 08:11:37 2025 A2: 45463836157237716065527716 Wed Nov 12 08:11:37 2025 A3: 2480214518230640889 Wed Nov 12 08:11:37 2025 A4: -829737006806 Wed Nov 12 08:11:37 2025 A5: 20400 Wed Nov 12 08:11:37 2025 skew 1.00, size 1.680e-15, alpha -6.746, combined = 1.568e-14 rroots = 5 Wed Nov 12 08:11:37 2025 Wed Nov 12 08:11:37 2025 commencing relation filtering Wed Nov 12 08:11:37 2025 estimated available RAM is 78540.1 MB Wed Nov 12 08:11:37 2025 commencing duplicate removal, pass 1 Wed Nov 12 08:12:41 2025 error -1 reading relation 21219783 Wed Nov 12 08:13:44 2025 error -1 reading relation 36873529 Wed Nov 12 08:13:38 2025 error -1 reading relation 40044447 Wed Nov 12 08:14:18 2025 error -1 reading relation 53471906 Wed Nov 12 08:14:21 2025 error -1 reading relation 54328229 Wed Nov 12 08:14:21 2025 error -1 reading relation 54400673 Wed Nov 12 08:14:28 2025 error -1 reading relation 56811781 Wed Nov 12 08:14:31 2025 error -1 reading relation 57792592 Wed Nov 12 08:14:37 2025 error -1 reading relation 60081380 Wed Nov 12 08:14:49 2025 error -1 reading relation 63987364 Wed Nov 12 08:15:27 2025 error -1 reading relation 76787768 Wed Nov 12 08:15:29 2025 error -1 reading relation 77767393 Wed Nov 12 08:15:30 2025 error -1 reading relation 78052669 Wed Nov 12 08:16:12 2025 skipped 148 malformed relations Wed Nov 12 08:16:12 2025 found 16343982 hash collisions in 92161389 relations Wed Nov 12 08:16:30 2025 added 121709 free relations Wed Nov 12 08:16:30 2025 commencing duplicate removal, pass 2 Wed Nov 12 08:17:33 2025 found 15919178 duplicates and 76363920 unique relations Wed Nov 12 08:17:33 2025 memory use: 426.4 MB Wed Nov 12 08:17:33 2025 reading ideals above 720000 Wed Nov 12 08:17:33 2025 commencing singleton removal, initial pass Wed Nov 12 08:25:12 2025 memory use: 1506.0 MB Wed Nov 12 08:25:12 2025 reading all ideals from disk Wed Nov 12 08:25:15 2025 memory use: 3423.9 MB Wed Nov 12 08:25:22 2025 keeping 79337387 ideals with weight <= 200, target excess is 423473 Wed Nov 12 08:25:30 2025 commencing in-memory singleton removal Wed Nov 12 08:25:32 2025 begin with 76363920 relations and 79337387 unique ideals Wed Nov 12 08:25:46 2025 reduce to 36210075 relations and 32934409 ideals in 17 passes Wed Nov 12 08:25:46 2025 max relations containing the same ideal: 128 Wed Nov 12 08:26:04 2025 removing 3006776 relations and 2606776 ideals in 400000 cliques Wed Nov 12 08:26:06 2025 commencing in-memory singleton removal Wed Nov 12 08:26:06 2025 begin with 33203299 relations and 32934409 unique ideals Wed Nov 12 08:26:11 2025 reduce to 33053937 relations and 30176133 ideals in 8 passes Wed Nov 12 08:26:11 2025 max relations containing the same ideal: 123 Wed Nov 12 08:26:28 2025 removing 2192687 relations and 1792687 ideals in 400000 cliques Wed Nov 12 08:26:29 2025 commencing in-memory singleton removal Wed Nov 12 08:26:29 2025 begin with 30861250 relations and 30176133 unique ideals Wed Nov 12 08:26:33 2025 reduce to 30771455 relations and 28292523 ideals in 7 passes Wed Nov 12 08:26:33 2025 max relations containing the same ideal: 117 Wed Nov 12 08:26:51 2025 removing 1933024 relations and 1533024 ideals in 400000 cliques Wed Nov 12 08:26:52 2025 commencing in-memory singleton removal Wed Nov 12 08:26:53 2025 begin with 28838431 relations and 28292523 unique ideals Wed Nov 12 08:26:55 2025 reduce to 28761607 relations and 26681715 ideals in 7 passes Wed Nov 12 08:26:55 2025 max relations containing the same ideal: 111 Wed Nov 12 08:27:09 2025 removing 1792415 relations and 1392415 ideals in 400000 cliques Wed Nov 12 08:27:10 2025 commencing in-memory singleton removal Wed Nov 12 08:27:10 2025 begin with 26969192 relations and 26681715 unique ideals Wed Nov 12 08:27:13 2025 reduce to 26897365 relations and 25216596 ideals in 6 passes Wed Nov 12 08:27:13 2025 max relations containing the same ideal: 106 Wed Nov 12 08:27:26 2025 removing 1699506 relations and 1299506 ideals in 400000 cliques Wed Nov 12 08:27:26 2025 commencing in-memory singleton removal Wed Nov 12 08:27:27 2025 begin with 25197859 relations and 25216596 unique ideals Wed Nov 12 08:27:30 2025 reduce to 25128297 relations and 23846647 ideals in 7 passes Wed Nov 12 08:27:30 2025 max relations containing the same ideal: 102 Wed Nov 12 08:27:41 2025 removing 1636417 relations and 1236417 ideals in 400000 cliques Wed Nov 12 08:27:42 2025 commencing in-memory singleton removal Wed Nov 12 08:27:43 2025 begin with 23491880 relations and 23846647 unique ideals Wed Nov 12 08:27:45 2025 reduce to 23421147 relations and 22538501 ideals in 6 passes Wed Nov 12 08:27:45 2025 max relations containing the same ideal: 98 Wed Nov 12 08:27:57 2025 removing 1563980 relations and 1172563 ideals in 391417 cliques Wed Nov 12 08:27:58 2025 commencing in-memory singleton removal Wed Nov 12 08:27:58 2025 begin with 21857167 relations and 22538501 unique ideals Wed Nov 12 08:28:00 2025 reduce to 21786895 relations and 21294722 ideals in 6 passes Wed Nov 12 08:28:00 2025 max relations containing the same ideal: 92 Wed Nov 12 08:28:14 2025 relations with 0 large ideals: 987 Wed Nov 12 08:28:14 2025 relations with 1 large ideals: 6450 Wed Nov 12 08:28:14 2025 relations with 2 large ideals: 89660 Wed Nov 12 08:28:14 2025 relations with 3 large ideals: 627943 Wed Nov 12 08:28:14 2025 relations with 4 large ideals: 2283462 Wed Nov 12 08:28:14 2025 relations with 5 large ideals: 4788784 Wed Nov 12 08:28:14 2025 relations with 6 large ideals: 6117517 Wed Nov 12 08:28:14 2025 relations with 7+ large ideals: 7872092 Wed Nov 12 08:28:14 2025 commencing 2-way merge Wed Nov 12 08:28:29 2025 reduce to 14562574 relation sets and 14070401 unique ideals Wed Nov 12 08:28:29 2025 commencing full merge Wed Nov 12 08:33:46 2025 memory use: 1587.5 MB Wed Nov 12 08:33:50 2025 found 7020817 cycles, need 6954601 Wed Nov 12 08:33:53 2025 weight of 6954601 cycles is about 625974770 (90.01/cycle) Wed Nov 12 08:33:53 2025 distribution of cycle lengths: Wed Nov 12 08:33:53 2025 1 relations: 276643 Wed Nov 12 08:33:53 2025 2 relations: 604740 Wed Nov 12 08:33:53 2025 3 relations: 754501 Wed Nov 12 08:33:53 2025 4 relations: 764990 Wed Nov 12 08:33:53 2025 5 relations: 745490 Wed Nov 12 08:33:53 2025 6 relations: 681717 Wed Nov 12 08:33:53 2025 7 relations: 609835 Wed Nov 12 08:33:53 2025 8 relations: 529056 Wed Nov 12 08:33:53 2025 9 relations: 452451 Wed Nov 12 08:33:53 2025 10+ relations: 1535178 Wed Nov 12 08:33:53 2025 heaviest cycle: 22 relations Wed Nov 12 08:33:56 2025 commencing cycle optimization Wed Nov 12 08:34:13 2025 start with 46298884 relations Wed Nov 12 08:35:57 2025 pruned 1551149 relations Wed Nov 12 08:35:58 2025 memory use: 1391.1 MB Wed Nov 12 08:35:58 2025 distribution of cycle lengths: Wed Nov 12 08:35:58 2025 1 relations: 276643 Wed Nov 12 08:35:58 2025 2 relations: 622461 Wed Nov 12 08:35:58 2025 3 relations: 790661 Wed Nov 12 08:35:58 2025 4 relations: 794780 Wed Nov 12 08:35:58 2025 5 relations: 775278 Wed Nov 12 08:35:58 2025 6 relations: 700510 Wed Nov 12 08:35:58 2025 7 relations: 623559 Wed Nov 12 08:35:58 2025 8 relations: 534160 Wed Nov 12 08:35:58 2025 9 relations: 451732 Wed Nov 12 08:35:58 2025 10+ relations: 1384817 Wed Nov 12 08:35:58 2025 heaviest cycle: 22 relations Wed Nov 12 08:36:10 2025 RelProcTime: 1473 Wed Nov 12 08:36:12 2025 Wed Nov 12 08:36:12 2025 commencing linear algebra Wed Nov 12 08:36:12 2025 using VBITS=256 Wed Nov 12 08:36:13 2025 read 6954601 cycles Wed Nov 12 08:36:25 2025 cycles contain 21504840 unique relations Wed Nov 12 08:37:06 2025 read 21504840 relations Wed Nov 12 08:37:12 2025 using 20 quadratic characters above 4294917295 Wed Nov 12 08:37:24 2025 building initial matrix Wed Nov 12 08:42:25 2025 memory use: 2997.1 MB Wed Nov 12 08:42:28 2025 read 6954601 cycles Wed Nov 12 08:42:29 2025 matrix is 6954423 x 6954601 (2562.8 MB) with weight 803411780 (115.52/col) Wed Nov 12 08:42:29 2025 sparse part has weight 595328859 (85.60/col) Wed Nov 12 08:43:36 2025 filtering completed in 2 passes Wed Nov 12 08:43:39 2025 matrix is 6953671 x 6953848 (2562.8 MB) with weight 803381176 (115.53/col) Wed Nov 12 08:43:39 2025 sparse part has weight 595320761 (85.61/col) Wed Nov 12 08:43:55 2025 matrix starts at (0, 0) Wed Nov 12 08:43:55 2025 matrix is 6953671 x 6953848 (2562.8 MB) with weight 803381176 (115.53/col) Wed Nov 12 08:43:55 2025 sparse part has weight 595320761 (85.61/col) Wed Nov 12 08:43:55 2025 saving the first 240 matrix rows for later Wed Nov 12 08:43:57 2025 matrix includes 256 packed rows Wed Nov 12 08:43:59 2025 matrix is 6953431 x 6953848 (2346.1 MB) with weight 538686465 (77.47/col) Wed Nov 12 08:43:59 2025 sparse part has weight 503754067 (72.44/col) Wed Nov 12 08:43:59 2025 using GPU 0 (NVIDIA GeForce RTX 5070) Wed Nov 12 08:43:59 2025 selected card has CUDA arch 12.0 Wed Nov 12 08:45:01 2025 commencing Lanczos iteration Wed Nov 12 08:45:03 2025 memory use: 5594.1 MB Wed Nov 12 08:45:20 2025 linear algebra at 0.4%, ETA 1h 4m Wed Nov 12 08:45:44 2025 checking every 110000 dimensions, checkpointing every 6820000 dimensions Wed Nov 12 09:48:53 2025 lanczos halted after 27245 iterations (dim = 6953428) Wed Nov 12 09:49:30 2025 recovered 27 nontrivial dependencies Wed Nov 12 09:49:31 2025 BLanczosTime: 4399 Wed Nov 12 09:49:31 2025 Wed Nov 12 09:49:31 2025 commencing square root phase Wed Nov 12 09:49:31 2025 reading relations for dependency 1 Wed Nov 12 09:49:53 2025 read 3476454 cycles Wed Nov 12 09:50:01 2025 cycles contain 10750464 unique relations Wed Nov 12 09:52:07 2025 read 10750464 relations Wed Nov 12 09:53:05 2025 multiplying 10750464 relations Wed Nov 12 09:54:36 2025 multiply complete, coefficients have about 554.96 million bits Wed Nov 12 09:54:54 2025 initial square root is modulo 95429 Wed Nov 12 09:58:05 2025 sqrtTime: 514 Wed Nov 12 09:58:05 2025 p62 factor: 26590940812702439654659240843364716140133204087398428285863159 Wed Nov 12 09:58:05 2025 p100 factor: 4150119190503420831285661888363580851402609643671292004278590892948815817382820039623245604326224759 Wed Nov 12 09:58:05 2025 elapsed time 01:46:28