Sat May 16 19:22:28 2026 Sat May 16 19:22:28 2026 Sat May 16 19:22:28 2026 Msieve v. 1.54 (SVN unknown) Sat May 16 19:22:28 2026 random seeds: 12d8d06f 9f7cddd3 Sat May 16 19:22:28 2026 factoring 8314859516900432042949840458386600478009223886171059046745092995419587184927069828720568147840850636044671946202527383548996726111993432746301740466601927654780896630849 (169 digits) Sat May 16 19:22:28 2026 no P-1/P+1/ECM available, skipping Sat May 16 19:22:28 2026 commencing number field sieve (169-digit input) Sat May 16 19:22:28 2026 R0: 1 Sat May 16 19:22:28 2026 R1: -460451991284147847537457340854501 Sat May 16 19:22:28 2026 A0: -77219701501 Sat May 16 19:22:28 2026 A1: 0 Sat May 16 19:22:28 2026 A2: 0 Sat May 16 19:22:28 2026 A3: 0 Sat May 16 19:22:28 2026 A4: 0 Sat May 16 19:22:28 2026 A5: 0 Sat May 16 19:22:28 2026 A6: 1 Sat May 16 19:22:28 2026 skew 52.02, size 2.312e-11, alpha 1.063, combined = 1.169e-12 rroots = 2 Sat May 16 19:22:28 2026 Sat May 16 19:22:28 2026 commencing relation filtering Sat May 16 19:22:28 2026 setting target matrix density to 100.0 Sat May 16 19:22:28 2026 estimated available RAM is 7902.4 MB Sat May 16 19:22:28 2026 commencing duplicate removal, pass 1 Sat May 16 19:28:35 2026 error -15 reading relation 65119090 Sat May 16 19:31:25 2026 error -15 reading relation 96363972 Sat May 16 19:32:52 2026 skipped 1 relations with b > 2^32 Sat May 16 19:32:52 2026 found 5465462 hash collisions in 112129010 relations Sat May 16 19:33:06 2026 added 1219071 free relations Sat May 16 19:33:06 2026 commencing duplicate removal, pass 2 Sat May 16 19:33:40 2026 found 0 duplicates and 113348081 unique relations Sat May 16 19:33:40 2026 memory use: 378.4 MB Sat May 16 19:33:40 2026 reading ideals above 67960832 Sat May 16 19:33:40 2026 commencing singleton removal, initial pass Sat May 16 19:41:20 2026 memory use: 2756.0 MB Sat May 16 19:41:20 2026 reading all ideals from disk Sat May 16 19:41:26 2026 memory use: 1969.0 MB Sat May 16 19:41:29 2026 commencing in-memory singleton removal Sat May 16 19:41:33 2026 begin with 113348081 relations and 102112902 unique ideals Sat May 16 19:42:02 2026 reduce to 60393716 relations and 42761410 ideals in 14 passes Sat May 16 19:42:02 2026 max relations containing the same ideal: 46 Sat May 16 19:42:05 2026 reading ideals above 720000 Sat May 16 19:42:05 2026 commencing singleton removal, initial pass Sat May 16 19:47:29 2026 memory use: 1378.0 MB Sat May 16 19:47:29 2026 reading all ideals from disk Sat May 16 19:47:35 2026 memory use: 2247.1 MB Sat May 16 19:47:40 2026 keeping 50459837 ideals with weight <= 200, target excess is 311567 Sat May 16 19:47:45 2026 commencing in-memory singleton removal Sat May 16 19:47:50 2026 begin with 60393717 relations and 50459837 unique ideals Sat May 16 19:48:22 2026 reduce to 60392128 relations and 50458246 ideals in 8 passes Sat May 16 19:48:22 2026 max relations containing the same ideal: 200 Sat May 16 19:48:46 2026 removing 5812338 relations and 4812338 ideals in 1000000 cliques Sat May 16 19:48:48 2026 commencing in-memory singleton removal Sat May 16 19:48:51 2026 begin with 54579790 relations and 50458246 unique ideals Sat May 16 19:49:19 2026 reduce to 54133900 relations and 45190686 ideals in 9 passes Sat May 16 19:49:19 2026 max relations containing the same ideal: 195 Sat May 16 19:49:37 2026 removing 4514044 relations and 3514045 ideals in 1000000 cliques Sat May 16 19:49:39 2026 commencing in-memory singleton removal Sat May 16 19:49:41 2026 begin with 49619856 relations and 45190686 unique ideals Sat May 16 19:50:03 2026 reduce to 49329342 relations and 41380721 ideals in 8 passes Sat May 16 19:50:03 2026 max relations containing the same ideal: 185 Sat May 16 19:50:18 2026 removing 4096648 relations and 3096648 ideals in 1000000 cliques Sat May 16 19:50:20 2026 commencing in-memory singleton removal Sat May 16 19:50:23 2026 begin with 45232694 relations and 41380721 unique ideals Sat May 16 19:50:42 2026 reduce to 44973180 relations and 38019623 ideals in 8 passes Sat May 16 19:50:42 2026 max relations containing the same ideal: 173 Sat May 16 19:50:56 2026 removing 3878026 relations and 2878026 ideals in 1000000 cliques Sat May 16 19:50:58 2026 commencing in-memory singleton removal Sat May 16 19:51:00 2026 begin with 41095154 relations and 38019623 unique ideals Sat May 16 19:51:15 2026 reduce to 40843737 relations and 34885093 ideals in 7 passes Sat May 16 19:51:15 2026 max relations containing the same ideal: 164 Sat May 16 19:51:28 2026 removing 3744955 relations and 2744955 ideals in 1000000 cliques Sat May 16 19:51:30 2026 commencing in-memory singleton removal Sat May 16 19:51:32 2026 begin with 37098782 relations and 34885093 unique ideals Sat May 16 19:51:47 2026 reduce to 36844252 relations and 31880193 ideals in 8 passes Sat May 16 19:51:47 2026 max relations containing the same ideal: 154 Sat May 16 19:51:59 2026 removing 3662131 relations and 2662131 ideals in 1000000 cliques Sat May 16 19:52:01 2026 commencing in-memory singleton removal Sat May 16 19:52:02 2026 begin with 33182121 relations and 31880193 unique ideals Sat May 16 19:52:15 2026 reduce to 32916333 relations and 28946029 ideals in 7 passes Sat May 16 19:52:15 2026 max relations containing the same ideal: 142 Sat May 16 19:52:25 2026 removing 3612744 relations and 2612744 ideals in 1000000 cliques Sat May 16 19:52:27 2026 commencing in-memory singleton removal Sat May 16 19:52:28 2026 begin with 29303589 relations and 28946029 unique ideals Sat May 16 19:52:40 2026 reduce to 29018108 relations and 26040504 ideals in 8 passes Sat May 16 19:52:40 2026 max relations containing the same ideal: 130 Sat May 16 19:52:50 2026 removing 3589512 relations and 2589512 ideals in 1000000 cliques Sat May 16 19:52:51 2026 commencing in-memory singleton removal Sat May 16 19:52:52 2026 begin with 25428596 relations and 26040504 unique ideals Sat May 16 19:53:03 2026 reduce to 25110892 relations and 23123826 ideals in 8 passes Sat May 16 19:53:03 2026 max relations containing the same ideal: 117 Sat May 16 19:53:11 2026 removing 3583309 relations and 2583309 ideals in 1000000 cliques Sat May 16 19:53:12 2026 commencing in-memory singleton removal Sat May 16 19:53:13 2026 begin with 21527583 relations and 23123826 unique ideals Sat May 16 19:53:22 2026 reduce to 21164341 relations and 20164846 ideals in 8 passes Sat May 16 19:53:22 2026 max relations containing the same ideal: 105 Sat May 16 19:53:29 2026 removing 2518717 relations and 1880640 ideals in 638077 cliques Sat May 16 19:53:30 2026 commencing in-memory singleton removal Sat May 16 19:53:31 2026 begin with 18645624 relations and 20164846 unique ideals Sat May 16 19:53:38 2026 reduce to 18437045 relations and 18070145 ideals in 8 passes Sat May 16 19:53:38 2026 max relations containing the same ideal: 97 Sat May 16 19:53:47 2026 relations with 0 large ideals: 11855 Sat May 16 19:53:47 2026 relations with 1 large ideals: 2798 Sat May 16 19:53:47 2026 relations with 2 large ideals: 40024 Sat May 16 19:53:47 2026 relations with 3 large ideals: 307731 Sat May 16 19:53:47 2026 relations with 4 large ideals: 1277422 Sat May 16 19:53:47 2026 relations with 5 large ideals: 3135742 Sat May 16 19:53:47 2026 relations with 6 large ideals: 4772705 Sat May 16 19:53:47 2026 relations with 7+ large ideals: 8888768 Sat May 16 19:53:47 2026 commencing 2-way merge Sat May 16 19:53:55 2026 reduce to 11658645 relation sets and 11291745 unique ideals Sat May 16 19:53:55 2026 commencing full merge Sat May 16 19:57:09 2026 memory use: 1550.2 MB Sat May 16 19:57:10 2026 found 5573159 cycles, need 5535945 Sat May 16 19:57:11 2026 weight of 5535945 cycles is about 554112871 (100.09/cycle) Sat May 16 19:57:11 2026 distribution of cycle lengths: Sat May 16 19:57:11 2026 1 relations: 359583 Sat May 16 19:57:11 2026 2 relations: 428695 Sat May 16 19:57:11 2026 3 relations: 459731 Sat May 16 19:57:11 2026 4 relations: 456514 Sat May 16 19:57:11 2026 5 relations: 452154 Sat May 16 19:57:11 2026 6 relations: 440597 Sat May 16 19:57:11 2026 7 relations: 418369 Sat May 16 19:57:11 2026 8 relations: 392707 Sat May 16 19:57:11 2026 9 relations: 356398 Sat May 16 19:57:11 2026 10+ relations: 1771197 Sat May 16 19:57:11 2026 heaviest cycle: 28 relations Sat May 16 19:57:12 2026 commencing cycle optimization Sat May 16 19:57:20 2026 start with 42729688 relations Sat May 16 19:58:24 2026 pruned 1608040 relations Sat May 16 19:58:24 2026 memory use: 1202.9 MB Sat May 16 19:58:25 2026 distribution of cycle lengths: Sat May 16 19:58:25 2026 1 relations: 359583 Sat May 16 19:58:25 2026 2 relations: 437709 Sat May 16 19:58:25 2026 3 relations: 476799 Sat May 16 19:58:25 2026 4 relations: 472206 Sat May 16 19:58:25 2026 5 relations: 471652 Sat May 16 19:58:25 2026 6 relations: 457378 Sat May 16 19:58:25 2026 7 relations: 435705 Sat May 16 19:58:25 2026 8 relations: 405972 Sat May 16 19:58:25 2026 9 relations: 368185 Sat May 16 19:58:25 2026 10+ relations: 1650756 Sat May 16 19:58:25 2026 heaviest cycle: 28 relations Sat May 16 19:58:33 2026 RelProcTime: 2165 Sat May 16 19:58:33 2026 elapsed time 00:36:05 Sat May 16 20:14:16 2026 Sat May 16 20:14:16 2026 Sat May 16 20:14:16 2026 Msieve v. 1.54 (SVN unknown) Sat May 16 20:14:16 2026 random seeds: 34344225 6d05accf Sat May 16 20:14:16 2026 factoring 8314859516900432042949840458386600478009223886171059046745092995419587184927069828720568147840850636044671946202527383548996726111993432746301740466601927654780896630849 (169 digits) Sat May 16 20:14:17 2026 no P-1/P+1/ECM available, skipping Sat May 16 20:14:17 2026 commencing number field sieve (169-digit input) Sat May 16 20:14:17 2026 R0: 1 Sat May 16 20:14:17 2026 R1: -460451991284147847537457340854501 Sat May 16 20:14:17 2026 A0: -77219701501 Sat May 16 20:14:17 2026 A1: 0 Sat May 16 20:14:17 2026 A2: 0 Sat May 16 20:14:17 2026 A3: 0 Sat May 16 20:14:17 2026 A4: 0 Sat May 16 20:14:17 2026 A5: 0 Sat May 16 20:14:17 2026 A6: 1 Sat May 16 20:14:17 2026 skew 52.02, size 2.312e-11, alpha 1.063, combined = 1.169e-12 rroots = 2 Sat May 16 20:14:17 2026 Sat May 16 20:14:17 2026 commencing linear algebra Sat May 16 20:14:17 2026 using VBITS=512 Sat May 16 20:14:17 2026 read 5535945 cycles Sat May 16 20:14:26 2026 cycles contain 18181121 unique relations Sat May 16 20:15:32 2026 read 18181121 relations Sat May 16 20:15:49 2026 using 20 quadratic characters above 4294917295 Sat May 16 20:17:00 2026 building initial matrix Sat May 16 20:19:54 2026 memory use: 2351.4 MB Sat May 16 20:19:56 2026 read 5535945 cycles Sat May 16 20:19:56 2026 matrix is 5535768 x 5535945 (2239.9 MB) with weight 647020738 (116.88/col) Sat May 16 20:19:56 2026 sparse part has weight 526273232 (95.06/col) Sat May 16 20:20:41 2026 filtering completed in 2 passes Sat May 16 20:20:42 2026 matrix is 5535471 x 5535635 (2239.8 MB) with weight 647009748 (116.88/col) Sat May 16 20:20:42 2026 sparse part has weight 526269085 (95.07/col) Sat May 16 20:20:55 2026 matrix starts at (0, 0) Sat May 16 20:20:55 2026 matrix is 5535471 x 5535635 (2239.8 MB) with weight 647009748 (116.88/col) Sat May 16 20:20:55 2026 sparse part has weight 526269085 (95.07/col) Sat May 16 20:20:55 2026 saving the first 496 matrix rows for later Sat May 16 20:20:56 2026 matrix includes 512 packed rows Sat May 16 20:21:00 2026 matrix is 5534975 x 5535635 (2111.1 MB) with weight 445881089 (80.55/col) Sat May 16 20:21:00 2026 sparse part has weight 420556135 (75.97/col) Sat May 16 20:21:00 2026 using GPU 0 (NVIDIA GeForce RTX 3060) Sat May 16 20:21:00 2026 selected card has CUDA arch 8.6 Sat May 16 20:21:30 2026 commencing Lanczos iteration Sat May 16 20:21:30 2026 memory use: 6122.7 MB Sat May 16 20:21:49 2026 linear algebra at 0.3%, ETA 1h48m Sat May 16 20:21:50 2026 checkpointing every 3010000 dimensions Sat May 16 22:14:13 2026 lanczos halted after 10829 iterations (dim = 5534975) Sat May 16 22:15:07 2026 recovered 36 nontrivial dependencies Sat May 16 22:15:07 2026 BLanczosTime: 7250 Sat May 16 22:15:07 2026 Sat May 16 22:15:07 2026 commencing square root phase Sat May 16 22:15:07 2026 handling dependencies 1 to 64 Sat May 16 22:15:07 2026 reading relations for dependency 1 Sat May 16 22:15:08 2026 read 2768067 cycles Sat May 16 22:15:12 2026 cycles contain 9094112 unique relations Sat May 16 22:15:52 2026 read 9094112 relations Sat May 16 22:16:24 2026 multiplying 9094112 relations Sat May 16 22:20:56 2026 multiply complete, coefficients have about 248.04 million bits Sat May 16 22:20:57 2026 initial square root is modulo 797064799 Sat May 16 22:26:14 2026 sqrtTime: 667 Sat May 16 22:26:14 2026 p57 factor: 277891223858627154327530722810948247637212799405184923269 Sat May 16 22:26:14 2026 p113 factor: 29921274236175546615550252357136068820657990022863938325280871123547094748794779061567473694116246481819495783821 Sat May 16 22:26:14 2026 elapsed time 02:11:58