Tue Aug 4 22:15:26 2026 Msieve v. 1.54 (SVN Unversioned directory) Tue Aug 4 22:15:26 2026 random seeds: cb2d1057 a11cd271 Tue Aug 4 22:15:26 2026 Using 2 OpenMP threads Tue Aug 4 22:15:26 2026 factoring 102044156605317488677909412248472676261448627427400262740789491685294282667087261262291804642711752567628367445389427799009164001699755677662799356932836135972743 (162 digits) Tue Aug 4 22:15:26 2026 no P-1/P+1/ECM available, skipping Tue Aug 4 22:15:26 2026 commencing number field sieve (162-digit input) Tue Aug 4 22:15:26 2026 R0: -24075189274631116179891474593825 Tue Aug 4 22:15:26 2026 R1: 632260593416564948951 Tue Aug 4 22:15:26 2026 A0: 705172721734586056189728727275390859968 Tue Aug 4 22:15:26 2026 A1: -225553545395859297638487028540728 Tue Aug 4 22:15:26 2026 A2: -63058144517724340108564337 Tue Aug 4 22:15:26 2026 A3: 11504587180169350082 Tue Aug 4 22:15:26 2026 A4: 628756033060 Tue Aug 4 22:15:26 2026 A5: 12600 Tue Aug 4 22:15:26 2026 skew 9799218.60, size 1.871e-15, alpha -7.886, combined = 1.699e-12 rroots = 3 Tue Aug 4 22:15:26 2026 Tue Aug 4 22:15:26 2026 commencing relation filtering Tue Aug 4 22:15:26 2026 estimated available RAM is 31871.6 MB Tue Aug 4 22:15:26 2026 commencing duplicate removal, pass 1 Tue Aug 4 22:15:30 2026 error -1 reading relation 485949 Tue Aug 4 22:15:34 2026 error -1 reading relation 890496 Tue Aug 4 22:15:38 2026 error -1 reading relation 1514132 Tue Aug 4 22:15:38 2026 error -1 reading relation 1514133 Tue Aug 4 22:15:51 2026 error -1 reading relation 3241533 Tue Aug 4 22:17:52 2026 error -1 reading relation 20173799 Tue Aug 4 22:34:19 2026 error -15 reading relation 124768020 Tue Aug 4 22:34:19 2026 error -15 reading relation 124768021 Tue Aug 4 22:34:19 2026 skipped 6 malformed relations Tue Aug 4 22:34:19 2026 found 5319237 hash collisions in 110555263 relations Tue Aug 4 22:34:53 2026 added 122465 free relations Tue Aug 4 22:34:53 2026 commencing duplicate removal, pass 2 Tue Aug 4 22:37:35 2026 found 0 duplicates and 110677728 unique relations Tue Aug 4 22:37:35 2026 memory use: 394.4 MB Tue Aug 4 22:37:35 2026 reading ideals above 720000 Tue Aug 4 22:37:35 2026 commencing singleton removal, initial pass Tue Aug 4 22:59:03 2026 memory use: 3012.0 MB Tue Aug 4 22:59:04 2026 reading all ideals from disk Tue Aug 4 22:59:38 2026 memory use: 4938.1 MB Tue Aug 4 22:59:59 2026 keeping 112141008 ideals with weight <= 200, target excess is 583535 Tue Aug 4 23:00:23 2026 commencing in-memory singleton removal Tue Aug 4 23:00:39 2026 begin with 110677728 relations and 112141008 unique ideals Tue Aug 4 23:01:59 2026 reduce to 51955912 relations and 44960293 ideals in 16 passes Tue Aug 4 23:01:59 2026 max relations containing the same ideal: 126 Tue Aug 4 23:02:55 2026 removing 6561928 relations and 5561928 ideals in 1000000 cliques Tue Aug 4 23:02:59 2026 commencing in-memory singleton removal Tue Aug 4 23:03:05 2026 begin with 45393984 relations and 44960293 unique ideals Tue Aug 4 23:03:40 2026 reduce to 44784696 relations and 38774339 ideals in 10 passes Tue Aug 4 23:03:40 2026 max relations containing the same ideal: 114 Tue Aug 4 23:04:23 2026 removing 4957783 relations and 3957783 ideals in 1000000 cliques Tue Aug 4 23:04:26 2026 commencing in-memory singleton removal Tue Aug 4 23:04:31 2026 begin with 39826913 relations and 38774339 unique ideals Tue Aug 4 23:04:58 2026 reduce to 39410422 relations and 34390796 ideals in 9 passes Tue Aug 4 23:04:58 2026 max relations containing the same ideal: 104 Tue Aug 4 23:05:36 2026 removing 4471272 relations and 3471272 ideals in 1000000 cliques Tue Aug 4 23:05:39 2026 commencing in-memory singleton removal Tue Aug 4 23:05:44 2026 begin with 34939150 relations and 34390796 unique ideals Tue Aug 4 23:06:10 2026 reduce to 34554525 relations and 30525919 ideals in 10 passes Tue Aug 4 23:06:10 2026 max relations containing the same ideal: 96 Tue Aug 4 23:06:44 2026 removing 4232132 relations and 3232132 ideals in 1000000 cliques Tue Aug 4 23:06:47 2026 commencing in-memory singleton removal Tue Aug 4 23:06:50 2026 begin with 30322393 relations and 30525919 unique ideals Tue Aug 4 23:07:08 2026 reduce to 29936670 relations and 26898188 ideals in 9 passes Tue Aug 4 23:07:08 2026 max relations containing the same ideal: 89 Tue Aug 4 23:07:41 2026 removing 4089689 relations and 3089689 ideals in 1000000 cliques Tue Aug 4 23:07:43 2026 commencing in-memory singleton removal Tue Aug 4 23:07:47 2026 begin with 25846981 relations and 26898188 unique ideals Tue Aug 4 23:08:01 2026 reduce to 25442536 relations and 23392374 ideals in 9 passes Tue Aug 4 23:08:01 2026 max relations containing the same ideal: 78 Tue Aug 4 23:08:24 2026 removing 3992440 relations and 2992440 ideals in 1000000 cliques Tue Aug 4 23:08:26 2026 commencing in-memory singleton removal Tue Aug 4 23:08:28 2026 begin with 21450096 relations and 23392374 unique ideals Tue Aug 4 23:08:40 2026 reduce to 21003536 relations and 19938342 ideals in 8 passes Tue Aug 4 23:08:40 2026 max relations containing the same ideal: 69 Tue Aug 4 23:09:02 2026 removing 1887448 relations and 1499155 ideals in 388293 cliques Tue Aug 4 23:09:04 2026 commencing in-memory singleton removal Tue Aug 4 23:09:06 2026 begin with 19116088 relations and 19938342 unique ideals Tue Aug 4 23:09:14 2026 reduce to 19010322 relations and 18331823 ideals in 7 passes Tue Aug 4 23:09:14 2026 max relations containing the same ideal: 62 Tue Aug 4 23:09:35 2026 relations with 0 large ideals: 1986 Tue Aug 4 23:09:35 2026 relations with 1 large ideals: 12345 Tue Aug 4 23:09:35 2026 relations with 2 large ideals: 167681 Tue Aug 4 23:09:35 2026 relations with 3 large ideals: 963299 Tue Aug 4 23:09:35 2026 relations with 4 large ideals: 2880264 Tue Aug 4 23:09:35 2026 relations with 5 large ideals: 4963573 Tue Aug 4 23:09:35 2026 relations with 6 large ideals: 5170925 Tue Aug 4 23:09:35 2026 relations with 7+ large ideals: 4850249 Tue Aug 4 23:09:35 2026 commencing 2-way merge Tue Aug 4 23:10:03 2026 reduce to 11519662 relation sets and 10841163 unique ideals Tue Aug 4 23:10:03 2026 commencing full merge Tue Aug 4 23:17:31 2026 memory use: 1368.1 MB Tue Aug 4 23:17:32 2026 found 5723594 cycles, need 5633363 Tue Aug 4 23:17:36 2026 weight of 5633363 cycles is about 507412772 (90.07/cycle) Tue Aug 4 23:17:36 2026 distribution of cycle lengths: Tue Aug 4 23:17:36 2026 1 relations: 437697 Tue Aug 4 23:17:36 2026 2 relations: 508867 Tue Aug 4 23:17:36 2026 3 relations: 537188 Tue Aug 4 23:17:36 2026 4 relations: 522234 Tue Aug 4 23:17:36 2026 5 relations: 511840 Tue Aug 4 23:17:36 2026 6 relations: 478495 Tue Aug 4 23:17:36 2026 7 relations: 450095 Tue Aug 4 23:17:36 2026 8 relations: 408613 Tue Aug 4 23:17:36 2026 9 relations: 363787 Tue Aug 4 23:17:36 2026 10+ relations: 1414547 Tue Aug 4 23:17:36 2026 heaviest cycle: 22 relations Tue Aug 4 23:17:39 2026 commencing cycle optimization Tue Aug 4 23:18:00 2026 start with 38194327 relations Tue Aug 4 23:20:17 2026 pruned 1199691 relations Tue Aug 4 23:20:18 2026 memory use: 1169.9 MB Tue Aug 4 23:20:18 2026 distribution of cycle lengths: Tue Aug 4 23:20:18 2026 1 relations: 437697 Tue Aug 4 23:20:18 2026 2 relations: 520798 Tue Aug 4 23:20:18 2026 3 relations: 558144 Tue Aug 4 23:20:18 2026 4 relations: 538812 Tue Aug 4 23:20:18 2026 5 relations: 530344 Tue Aug 4 23:20:18 2026 6 relations: 493737 Tue Aug 4 23:20:18 2026 7 relations: 464694 Tue Aug 4 23:20:18 2026 8 relations: 417522 Tue Aug 4 23:20:18 2026 9 relations: 369439 Tue Aug 4 23:20:18 2026 10+ relations: 1302176 Tue Aug 4 23:20:18 2026 heaviest cycle: 22 relations Tue Aug 4 23:20:34 2026 RelProcTime: 3908 Tue Aug 4 23:20:36 2026 Tue Aug 4 23:20:36 2026 commencing linear algebra Tue Aug 4 23:20:36 2026 using VBITS=256 Tue Aug 4 23:20:37 2026 read 5633363 cycles Tue Aug 4 23:20:51 2026 cycles contain 18571128 unique relations Tue Aug 4 23:25:06 2026 read 18571128 relations Tue Aug 4 23:26:01 2026 using 20 quadratic characters above 4294917295 Tue Aug 4 23:27:06 2026 building initial matrix Tue Aug 4 23:33:12 2026 memory use: 2542.9 MB Tue Aug 4 23:33:24 2026 read 5633363 cycles Tue Aug 4 23:33:25 2026 matrix is 5633185 x 5633363 (2102.2 MB) with weight 652465287 (115.82/col) Tue Aug 4 23:33:25 2026 sparse part has weight 483479619 (85.82/col) Tue Aug 4 23:34:59 2026 filtering completed in 2 passes Tue Aug 4 23:35:02 2026 matrix is 5632104 x 5632280 (2102.1 MB) with weight 652417202 (115.84/col) Tue Aug 4 23:35:02 2026 sparse part has weight 483464907 (85.84/col) Tue Aug 4 23:35:24 2026 matrix starts at (0, 0) Tue Aug 4 23:35:25 2026 matrix is 5632104 x 5632280 (2102.1 MB) with weight 652417202 (115.84/col) Tue Aug 4 23:35:25 2026 sparse part has weight 483464907 (85.84/col) Tue Aug 4 23:35:25 2026 saving the first 240 matrix rows for later Tue Aug 4 23:35:27 2026 matrix includes 256 packed rows Tue Aug 4 23:35:30 2026 matrix is 5631864 x 5632280 (1921.5 MB) with weight 441578531 (78.40/col) Tue Aug 4 23:35:30 2026 sparse part has weight 413589188 (73.43/col) Tue Aug 4 23:35:31 2026 using GPU 0 (NVIDIA GeForce RTX 3080) Tue Aug 4 23:35:31 2026 selected card has CUDA arch 8.6 Tue Aug 4 23:37:03 2026 commencing Lanczos iteration Tue Aug 4 23:37:05 2026 memory use: 4702.4 MB Tue Aug 4 23:37:27 2026 linear algebra at 0.5%, ETA 1h 4m Tue Aug 4 23:37:59 2026 checking every 80000 dimensions, checkpointing every 5280000 dimensions Wed Aug 5 00:42:41 2026 lanczos halted after 22067 iterations (dim = 5631863) Wed Aug 5 00:43:23 2026 recovered 30 nontrivial dependencies Wed Aug 5 00:43:23 2026 BLanczosTime: 4967 Wed Aug 5 00:43:23 2026 Wed Aug 5 00:43:23 2026 commencing square root phase Wed Aug 5 00:43:23 2026 handling dependencies 1 to 64 Wed Aug 5 00:43:23 2026 reading relations for dependency 1 Wed Aug 5 00:43:25 2026 read 2815750 cycles Wed Aug 5 00:43:32 2026 cycles contain 9287142 unique relations Wed Aug 5 00:47:56 2026 read 9287142 relations Wed Aug 5 00:49:54 2026 multiplying 9287142 relations Wed Aug 5 00:53:50 2026 multiply complete, coefficients have about 470.72 million bits Wed Aug 5 00:53:53 2026 initial square root is modulo 279446567 Wed Aug 5 01:01:43 2026 sqrtTime: 1100 Wed Aug 5 01:01:43 2026 p76 factor: 2298080009838191937750887148780865403344051627150434387406146117249652776569 Wed Aug 5 01:01:43 2026 p86 factor: 44404092184981161204344747535337220534699803288709336509948877860414240039295415746047 Wed Aug 5 01:01:43 2026 elapsed time 02:46:17