Tue Aug 11 13:03:28 2026 Msieve v. 1.54 (SVN Unversioned directory) Tue Aug 11 13:03:28 2026 random seeds: eaee4bfe 169264c7 Tue Aug 11 13:03:28 2026 Using 2 OpenMP threads Tue Aug 11 13:03:28 2026 factoring 110715714546096865174088495601694480904512460768869354370372606055897627557642810849093025768941046588161958527905383249618442805070465428874195746336380218213059 (162 digits) Tue Aug 11 13:03:29 2026 no P-1/P+1/ECM available, skipping Tue Aug 11 13:03:29 2026 commencing number field sieve (162-digit input) Tue Aug 11 13:03:29 2026 R0: -23601095881341285863446066082325 Tue Aug 11 13:03:29 2026 R1: 108118041736496791217 Tue Aug 11 13:03:29 2026 A0: 52399883107098881352812010143649200136 Tue Aug 11 13:03:29 2026 A1: 9260742298817003938172470788910 Tue Aug 11 13:03:29 2026 A2: -5932874771214495453963210 Tue Aug 11 13:03:29 2026 A3: -15100229521256383675 Tue Aug 11 13:03:29 2026 A4: -76767359196 Tue Aug 11 13:03:29 2026 A5: 45360 Tue Aug 11 13:03:29 2026 skew 7170124.25, size 1.603e-15, alpha -7.380, combined = 1.552e-12 rroots = 3 Tue Aug 11 13:03:29 2026 Tue Aug 11 13:03:29 2026 commencing relation filtering Tue Aug 11 13:03:29 2026 estimated available RAM is 31871.6 MB Tue Aug 11 13:03:29 2026 commencing duplicate removal, pass 1 Tue Aug 11 13:03:48 2026 error -1 reading relation 2802105 Tue Aug 11 13:03:48 2026 error -1 reading relation 2802106 Tue Aug 11 13:04:00 2026 error -1 reading relation 4513774 Tue Aug 11 13:04:00 2026 error -1 reading relation 4513775 Tue Aug 11 13:04:04 2026 error -1 reading relation 5087367 Tue Aug 11 13:04:09 2026 error -1 reading relation 5713175 Tue Aug 11 13:04:56 2026 error -1 reading relation 12183511 Tue Aug 11 13:05:23 2026 error -1 reading relation 15971622 Tue Aug 11 13:05:23 2026 error -1 reading relation 15971623 Tue Aug 11 13:06:04 2026 error -1 reading relation 21922523 Tue Aug 11 13:06:23 2026 error -1 reading relation 24743286 Tue Aug 11 13:06:23 2026 error -1 reading relation 24743287 Tue Aug 11 13:06:45 2026 error -1 reading relation 27976454 Tue Aug 11 13:07:38 2026 error -11 reading relation 35314800 Tue Aug 11 13:07:38 2026 error -15 reading relation 35315351 Tue Aug 11 13:07:38 2026 error -15 reading relation 35315423 Tue Aug 11 13:07:38 2026 error -15 reading relation 35315620 Tue Aug 11 13:07:38 2026 error -15 reading relation 35315856 Tue Aug 11 13:07:38 2026 error -15 reading relation 35319111 Tue Aug 11 13:07:38 2026 error -11 reading relation 35320236 Tue Aug 11 13:07:38 2026 error -15 reading relation 35321331 Tue Aug 11 13:07:38 2026 error -15 reading relation 35322615 Tue Aug 11 13:07:38 2026 error -11 reading relation 35322651 Tue Aug 11 13:07:39 2026 error -15 reading relation 35324267 Tue Aug 11 13:07:39 2026 error -11 reading relation 35324531 Tue Aug 11 13:07:39 2026 error -15 reading relation 35326762 Tue Aug 11 13:07:39 2026 error -15 reading relation 35327020 Tue Aug 11 13:07:39 2026 error -15 reading relation 35328204 Tue Aug 11 13:07:39 2026 error -11 reading relation 35328948 Tue Aug 11 13:07:39 2026 error -15 reading relation 35331028 Tue Aug 11 13:07:39 2026 error -15 reading relation 35331799 Tue Aug 11 13:07:39 2026 error -15 reading relation 35331835 Tue Aug 11 13:07:39 2026 error -15 reading relation 35332068 Tue Aug 11 13:07:39 2026 error -15 reading relation 35332140 Tue Aug 11 13:07:39 2026 error -15 reading relation 35332635 Tue Aug 11 13:07:39 2026 error -15 reading relation 35334629 Tue Aug 11 13:07:39 2026 error -15 reading relation 35334916 Tue Aug 11 13:07:39 2026 error -15 reading relation 35336008 Tue Aug 11 13:07:39 2026 error -15 reading relation 35336562 Tue Aug 11 13:09:02 2026 error -1 reading relation 45753107 Tue Aug 11 13:09:14 2026 error -1 reading relation 47461887 Tue Aug 11 13:09:19 2026 error -1 reading relation 48172726 Tue Aug 11 13:09:24 2026 error -1 reading relation 48909940 Tue Aug 11 13:09:32 2026 error -1 reading relation 49993233 Tue Aug 11 13:09:55 2026 error -1 reading relation 53318094 Tue Aug 11 13:10:00 2026 error -11 reading relation 54104887 Tue Aug 11 13:10:19 2026 error -1 reading relation 56936666 Tue Aug 11 13:12:11 2026 error -1 reading relation 73557978 Tue Aug 11 13:13:20 2026 error -1 reading relation 84339868 Tue Aug 11 13:13:20 2026 error -1 reading relation 84339869 Tue Aug 11 13:14:23 2026 error -1 reading relation 92543283 Tue Aug 11 13:14:23 2026 error -1 reading relation 92543284 Tue Aug 11 13:14:23 2026 error -1 reading relation 92543285 Tue Aug 11 13:16:14 2026 error -1 reading relation 108803369 Tue Aug 11 13:16:19 2026 error -1 reading relation 109389475 Tue Aug 11 13:16:47 2026 error -1 reading relation 112928806 Tue Aug 11 13:16:56 2026 error -1 reading relation 114023507 Tue Aug 11 13:16:56 2026 error -1 reading relation 114023508 Tue Aug 11 13:16:59 2026 skipped 29 relations with composite factors Tue Aug 11 13:16:59 2026 skipped 2 malformed relations Tue Aug 11 13:16:59 2026 found 5680686 hash collisions in 114374661 relations Tue Aug 11 13:17:33 2026 added 122432 free relations Tue Aug 11 13:17:33 2026 commencing duplicate removal, pass 2 Tue Aug 11 13:20:54 2026 found 0 duplicates and 114497093 unique relations Tue Aug 11 13:20:54 2026 memory use: 394.4 MB Tue Aug 11 13:20:55 2026 reading ideals above 720000 Tue Aug 11 13:20:55 2026 commencing singleton removal, initial pass Tue Aug 11 13:42:28 2026 memory use: 3012.0 MB Tue Aug 11 13:42:28 2026 reading all ideals from disk Tue Aug 11 13:43:29 2026 memory use: 5129.5 MB Tue Aug 11 13:44:06 2026 keeping 114539188 ideals with weight <= 200, target excess is 593996 Tue Aug 11 13:44:32 2026 commencing in-memory singleton removal Tue Aug 11 13:44:47 2026 begin with 114497093 relations and 114539188 unique ideals Tue Aug 11 13:46:19 2026 reduce to 55855251 relations and 47922497 ideals in 18 passes Tue Aug 11 13:46:19 2026 max relations containing the same ideal: 133 Tue Aug 11 13:47:20 2026 removing 6645566 relations and 5645566 ideals in 1000000 cliques Tue Aug 11 13:47:24 2026 commencing in-memory singleton removal Tue Aug 11 13:47:30 2026 begin with 49209685 relations and 47922497 unique ideals Tue Aug 11 13:48:06 2026 reduce to 48631828 relations and 41685783 ideals in 10 passes Tue Aug 11 13:48:06 2026 max relations containing the same ideal: 123 Tue Aug 11 13:48:57 2026 removing 4994402 relations and 3994402 ideals in 1000000 cliques Tue Aug 11 13:49:00 2026 commencing in-memory singleton removal Tue Aug 11 13:49:05 2026 begin with 43637426 relations and 41685783 unique ideals Tue Aug 11 13:49:36 2026 reduce to 43251811 relations and 37297805 ideals in 10 passes Tue Aug 11 13:49:36 2026 max relations containing the same ideal: 110 Tue Aug 11 13:50:21 2026 removing 4489547 relations and 3489547 ideals in 1000000 cliques Tue Aug 11 13:50:24 2026 commencing in-memory singleton removal Tue Aug 11 13:50:28 2026 begin with 38762264 relations and 37297805 unique ideals Tue Aug 11 13:50:51 2026 reduce to 38412743 relations and 33451092 ideals in 8 passes Tue Aug 11 13:50:51 2026 max relations containing the same ideal: 101 Tue Aug 11 13:51:32 2026 removing 4230507 relations and 3230507 ideals in 1000000 cliques Tue Aug 11 13:51:34 2026 commencing in-memory singleton removal Tue Aug 11 13:51:38 2026 begin with 34182236 relations and 33451092 unique ideals Tue Aug 11 13:51:57 2026 reduce to 33838239 relations and 29868889 ideals in 8 passes Tue Aug 11 13:51:57 2026 max relations containing the same ideal: 95 Tue Aug 11 13:52:31 2026 removing 4065514 relations and 3065514 ideals in 1000000 cliques Tue Aug 11 13:52:33 2026 commencing in-memory singleton removal Tue Aug 11 13:52:37 2026 begin with 29772725 relations and 29868889 unique ideals Tue Aug 11 13:52:58 2026 reduce to 29420805 relations and 26442320 ideals in 9 passes Tue Aug 11 13:52:58 2026 max relations containing the same ideal: 85 Tue Aug 11 13:53:28 2026 removing 3955889 relations and 2955889 ideals in 1000000 cliques Tue Aug 11 13:53:31 2026 commencing in-memory singleton removal Tue Aug 11 13:53:33 2026 begin with 25464916 relations and 26442320 unique ideals Tue Aug 11 13:53:46 2026 reduce to 25094033 relations and 23104835 ideals in 8 passes Tue Aug 11 13:53:46 2026 max relations containing the same ideal: 73 Tue Aug 11 13:54:13 2026 removing 3875854 relations and 2875854 ideals in 1000000 cliques Tue Aug 11 13:54:15 2026 commencing in-memory singleton removal Tue Aug 11 13:54:17 2026 begin with 21218179 relations and 23104835 unique ideals Tue Aug 11 13:54:28 2026 reduce to 20810090 relations and 19807329 ideals in 8 passes Tue Aug 11 13:54:28 2026 max relations containing the same ideal: 66 Tue Aug 11 13:54:50 2026 removing 1534085 relations and 1220360 ideals in 313725 cliques Tue Aug 11 13:54:52 2026 commencing in-memory singleton removal Tue Aug 11 13:54:54 2026 begin with 19276005 relations and 19807329 unique ideals Tue Aug 11 13:55:04 2026 reduce to 19209648 relations and 18519745 ideals in 8 passes Tue Aug 11 13:55:04 2026 max relations containing the same ideal: 61 Tue Aug 11 13:55:27 2026 relations with 0 large ideals: 2026 Tue Aug 11 13:55:27 2026 relations with 1 large ideals: 12146 Tue Aug 11 13:55:27 2026 relations with 2 large ideals: 167172 Tue Aug 11 13:55:27 2026 relations with 3 large ideals: 951485 Tue Aug 11 13:55:27 2026 relations with 4 large ideals: 2859427 Tue Aug 11 13:55:27 2026 relations with 5 large ideals: 4961534 Tue Aug 11 13:55:27 2026 relations with 6 large ideals: 5240011 Tue Aug 11 13:55:27 2026 relations with 7+ large ideals: 5015847 Tue Aug 11 13:55:27 2026 commencing 2-way merge Tue Aug 11 13:55:56 2026 reduce to 11841921 relation sets and 11152018 unique ideals Tue Aug 11 13:55:56 2026 commencing full merge Tue Aug 11 14:03:34 2026 memory use: 1420.7 MB Tue Aug 11 14:03:36 2026 found 5971139 cycles, need 5878218 Tue Aug 11 14:03:40 2026 weight of 5878218 cycles is about 529594459 (90.09/cycle) Tue Aug 11 14:03:40 2026 distribution of cycle lengths: Tue Aug 11 14:03:40 2026 1 relations: 419539 Tue Aug 11 14:03:40 2026 2 relations: 542991 Tue Aug 11 14:03:40 2026 3 relations: 581598 Tue Aug 11 14:03:40 2026 4 relations: 563344 Tue Aug 11 14:03:40 2026 5 relations: 553069 Tue Aug 11 14:03:40 2026 6 relations: 517432 Tue Aug 11 14:03:40 2026 7 relations: 483462 Tue Aug 11 14:03:40 2026 8 relations: 434787 Tue Aug 11 14:03:40 2026 9 relations: 382044 Tue Aug 11 14:03:40 2026 10+ relations: 1399952 Tue Aug 11 14:03:40 2026 heaviest cycle: 21 relations Tue Aug 11 14:03:43 2026 commencing cycle optimization Tue Aug 11 14:04:06 2026 start with 39139864 relations Tue Aug 11 14:06:16 2026 pruned 1253276 relations Tue Aug 11 14:06:18 2026 memory use: 1193.4 MB Tue Aug 11 14:06:18 2026 distribution of cycle lengths: Tue Aug 11 14:06:18 2026 1 relations: 419539 Tue Aug 11 14:06:18 2026 2 relations: 556058 Tue Aug 11 14:06:18 2026 3 relations: 605165 Tue Aug 11 14:06:18 2026 4 relations: 582314 Tue Aug 11 14:06:18 2026 5 relations: 573931 Tue Aug 11 14:06:18 2026 6 relations: 534398 Tue Aug 11 14:06:18 2026 7 relations: 497915 Tue Aug 11 14:06:18 2026 8 relations: 444147 Tue Aug 11 14:06:18 2026 9 relations: 386912 Tue Aug 11 14:06:18 2026 10+ relations: 1277839 Tue Aug 11 14:06:18 2026 heaviest cycle: 21 relations Tue Aug 11 14:06:40 2026 RelProcTime: 3791 Tue Aug 11 14:06:40 2026 Tue Aug 11 14:06:40 2026 commencing linear algebra Tue Aug 11 14:06:40 2026 using VBITS=256 Tue Aug 11 14:06:41 2026 read 5878218 cycles Tue Aug 11 14:06:56 2026 cycles contain 18800900 unique relations Tue Aug 11 14:11:26 2026 read 18800900 relations Tue Aug 11 14:12:23 2026 using 20 quadratic characters above 4294917295 Tue Aug 11 14:13:31 2026 building initial matrix Tue Aug 11 14:19:47 2026 memory use: 2608.4 MB Tue Aug 11 14:20:04 2026 read 5878218 cycles Tue Aug 11 14:20:05 2026 matrix is 5878041 x 5878218 (2195.4 MB) with weight 682386344 (116.09/col) Tue Aug 11 14:20:05 2026 sparse part has weight 504974291 (85.91/col) Tue Aug 11 14:21:44 2026 filtering completed in 2 passes Tue Aug 11 14:21:47 2026 matrix is 5877155 x 5877330 (2195.3 MB) with weight 682347649 (116.10/col) Tue Aug 11 14:21:47 2026 sparse part has weight 504962581 (85.92/col) Tue Aug 11 14:22:12 2026 matrix starts at (0, 0) Tue Aug 11 14:22:13 2026 matrix is 5877155 x 5877330 (2195.3 MB) with weight 682347649 (116.10/col) Tue Aug 11 14:22:13 2026 sparse part has weight 504962581 (85.92/col) Tue Aug 11 14:22:13 2026 saving the first 240 matrix rows for later Tue Aug 11 14:22:15 2026 matrix includes 256 packed rows Tue Aug 11 14:22:18 2026 matrix is 5876915 x 5877330 (1990.1 MB) with weight 457724071 (77.88/col) Tue Aug 11 14:22:18 2026 sparse part has weight 427646902 (72.76/col) Tue Aug 11 14:22:18 2026 using GPU 0 (NVIDIA GeForce RTX 3080) Tue Aug 11 14:22:18 2026 selected card has CUDA arch 8.6 Tue Aug 11 14:23:33 2026 commencing Lanczos iteration Tue Aug 11 14:23:34 2026 memory use: 4876.9 MB Tue Aug 11 14:23:58 2026 linear algebra at 0.5%, ETA 1h13m Tue Aug 11 14:24:31 2026 checking every 80000 dimensions, checkpointing every 4960000 dimensions Tue Aug 11 15:33:42 2026 lanczos halted after 23028 iterations (dim = 5876915) Tue Aug 11 15:34:17 2026 recovered 31 nontrivial dependencies Tue Aug 11 15:34:17 2026 BLanczosTime: 5257 Tue Aug 11 15:34:17 2026 Tue Aug 11 15:34:17 2026 commencing square root phase Tue Aug 11 15:34:17 2026 handling dependencies 1 to 64 Tue Aug 11 15:34:17 2026 reading relations for dependency 1 Tue Aug 11 15:34:19 2026 read 2938899 cycles Tue Aug 11 15:34:27 2026 cycles contain 9400732 unique relations Tue Aug 11 15:39:31 2026 read 9400732 relations Tue Aug 11 15:42:33 2026 multiplying 9400732 relations Tue Aug 11 15:46:31 2026 multiply complete, coefficients have about 488.15 million bits Tue Aug 11 15:46:34 2026 initial square root is modulo 574096603 Tue Aug 11 15:54:21 2026 sqrtTime: 1204 Tue Aug 11 15:54:21 2026 p57 factor: 168661283108796588936412894905505356592848726337700358347 Tue Aug 11 15:54:21 2026 p105 factor: 656438232327917395537436771191507614345111827229187485931648975947831745991066606914016726066935176472297 Tue Aug 11 15:54:21 2026 elapsed time 02:50:53