Fri Aug 21 20:38:07 2026 Msieve v. 1.54 (SVN Unversioned directory) Fri Aug 21 20:38:07 2026 random seeds: f7359ef6 e9366cc6 Fri Aug 21 20:38:07 2026 factoring 323110057637339404541900119402848817158435778911478524049366832923761455010632232197346121883728042380951489487536873740445337518456803578263361051239747406973492324049809 (171 digits) Fri Aug 21 20:38:07 2026 no P-1/P+1/ECM available, skipping Fri Aug 21 20:38:07 2026 commencing number field sieve (171-digit input) Fri Aug 21 20:38:07 2026 R0: -1844836240219126885962627687523364 Fri Aug 21 20:38:07 2026 R1: 743682264199638970529 Fri Aug 21 20:38:07 2026 A0: 2131090317387661567834039087036052173495125 Fri Aug 21 20:38:07 2026 A1: -59283977519166689657732235355541601 Fri Aug 21 20:38:07 2026 A2: -2868855214309820779934289136 Fri Aug 21 20:38:07 2026 A3: -2731150613280593311 Fri Aug 21 20:38:07 2026 A4: 827277075219 Fri Aug 21 20:38:07 2026 A5: 15120 Fri Aug 21 20:38:07 2026 skew 43526305.23, size 1.610e-16, alpha -7.432, combined = 3.900e-13 rroots = 3 Fri Aug 21 20:38:07 2026 Fri Aug 21 20:38:07 2026 commencing relation filtering Fri Aug 21 20:38:07 2026 estimated available RAM is 31871.6 MB Fri Aug 21 20:38:07 2026 commencing duplicate removal, pass 1 Fri Aug 21 20:38:09 2026 error -1 reading relation 81878 Fri Aug 21 20:38:53 2026 error -1 reading relation 4513688 Fri Aug 21 20:38:55 2026 error -15 reading relation 4675815 Fri Aug 21 20:39:18 2026 error -1 reading relation 7114165 Fri Aug 21 20:39:38 2026 error -1 reading relation 8933626 Fri Aug 21 20:39:57 2026 error -1 reading relation 10700202 Fri Aug 21 20:40:00 2026 error -1 reading relation 10957755 Fri Aug 21 20:42:08 2026 error -11 reading relation 23410510 Fri Aug 21 20:42:57 2026 error -1 reading relation 28111684 Fri Aug 21 20:43:34 2026 error -1 reading relation 31544812 Fri Aug 21 20:45:13 2026 error -1 reading relation 40891596 Fri Aug 21 20:45:36 2026 error -1 reading relation 43086594 Fri Aug 21 20:46:11 2026 error -1 reading relation 46336493 Fri Aug 21 20:47:50 2026 error -1 reading relation 55951923 Fri Aug 21 20:47:50 2026 error -1 reading relation 55951924 Fri Aug 21 20:47:50 2026 error -1 reading relation 55971460 Fri Aug 21 20:47:57 2026 error -1 reading relation 56687049 Fri Aug 21 20:48:12 2026 error -1 reading relation 58155339 Fri Aug 21 20:48:30 2026 error -1 reading relation 59873724 Fri Aug 21 20:49:50 2026 error -1 reading relation 67861008 Fri Aug 21 20:50:14 2026 error -1 reading relation 70132211 Fri Aug 21 20:51:05 2026 error -11 reading relation 74957565 Fri Aug 21 20:51:27 2026 error -1 reading relation 77109422 Fri Aug 21 20:52:23 2026 error -1 reading relation 82518713 Fri Aug 21 20:53:00 2026 error -1 reading relation 86092524 Fri Aug 21 20:53:48 2026 error -1 reading relation 90764404 Fri Aug 21 20:54:17 2026 error -1 reading relation 93452411 Fri Aug 21 20:59:28 2026 error -6 reading relation 124043481 Fri Aug 21 20:59:32 2026 error -11 reading relation 124426902 Fri Aug 21 21:01:08 2026 skipped 5 malformed relations Fri Aug 21 21:01:08 2026 found 7597778 hash collisions in 133027087 relations Fri Aug 21 21:01:43 2026 added 122301 free relations Fri Aug 21 21:01:43 2026 commencing duplicate removal, pass 2 Fri Aug 21 21:05:57 2026 found 0 duplicates and 133149388 unique relations Fri Aug 21 21:05:57 2026 memory use: 426.4 MB Fri Aug 21 21:05:57 2026 reading ideals above 121962496 Fri Aug 21 21:05:57 2026 commencing singleton removal, initial pass Fri Aug 21 21:27:27 2026 memory use: 3012.0 MB Fri Aug 21 21:27:27 2026 reading all ideals from disk Fri Aug 21 21:27:42 2026 memory use: 3439.3 MB Fri Aug 21 21:28:03 2026 commencing in-memory singleton removal Fri Aug 21 21:28:19 2026 begin with 133149388 relations and 114990953 unique ideals Fri Aug 21 21:29:54 2026 reduce to 81208225 relations and 57583322 ideals in 15 passes Fri Aug 21 21:29:54 2026 max relations containing the same ideal: 42 Fri Aug 21 21:30:01 2026 reading ideals above 720000 Fri Aug 21 21:30:01 2026 commencing singleton removal, initial pass Fri Aug 21 21:48:09 2026 memory use: 1506.0 MB Fri Aug 21 21:48:09 2026 reading all ideals from disk Fri Aug 21 21:48:38 2026 memory use: 3775.1 MB Fri Aug 21 21:49:05 2026 keeping 71064169 ideals with weight <= 200, target excess is 410271 Fri Aug 21 21:49:24 2026 commencing in-memory singleton removal Fri Aug 21 21:49:45 2026 begin with 81208225 relations and 71064169 unique ideals Fri Aug 21 21:51:39 2026 reduce to 81147584 relations and 71003518 ideals in 10 passes Fri Aug 21 21:51:39 2026 max relations containing the same ideal: 200 Fri Aug 21 21:53:23 2026 removing 6348039 relations and 5348039 ideals in 1000000 cliques Fri Aug 21 21:53:28 2026 commencing in-memory singleton removal Fri Aug 21 21:53:45 2026 begin with 74799545 relations and 71003518 unique ideals Fri Aug 21 21:55:22 2026 reduce to 74413817 relations and 65263526 ideals in 9 passes Fri Aug 21 21:55:22 2026 max relations containing the same ideal: 197 Fri Aug 21 21:56:50 2026 removing 4878023 relations and 3878023 ideals in 1000000 cliques Fri Aug 21 21:56:54 2026 commencing in-memory singleton removal Fri Aug 21 21:57:12 2026 begin with 69535794 relations and 65263526 unique ideals Fri Aug 21 21:58:30 2026 reduce to 69278301 relations and 61124438 ideals in 8 passes Fri Aug 21 21:58:30 2026 max relations containing the same ideal: 193 Fri Aug 21 21:59:56 2026 removing 4432005 relations and 3432005 ideals in 1000000 cliques Fri Aug 21 22:00:01 2026 commencing in-memory singleton removal Fri Aug 21 22:00:17 2026 begin with 64846296 relations and 61124438 unique ideals Fri Aug 21 22:01:36 2026 reduce to 64615250 relations and 57458251 ideals in 8 passes Fri Aug 21 22:01:36 2026 max relations containing the same ideal: 184 Fri Aug 21 22:02:56 2026 removing 4206498 relations and 3206498 ideals in 1000000 cliques Fri Aug 21 22:03:00 2026 commencing in-memory singleton removal Fri Aug 21 22:03:14 2026 begin with 60408752 relations and 57458251 unique ideals Fri Aug 21 22:04:15 2026 reduce to 60185936 relations and 54025719 ideals in 7 passes Fri Aug 21 22:04:15 2026 max relations containing the same ideal: 176 Fri Aug 21 22:05:26 2026 removing 4074760 relations and 3074760 ideals in 1000000 cliques Fri Aug 21 22:05:30 2026 commencing in-memory singleton removal Fri Aug 21 22:05:44 2026 begin with 56111176 relations and 54025719 unique ideals Fri Aug 21 22:07:07 2026 reduce to 55888476 relations and 50724869 ideals in 10 passes Fri Aug 21 22:07:07 2026 max relations containing the same ideal: 164 Fri Aug 21 22:08:13 2026 removing 3991907 relations and 2991907 ideals in 1000000 cliques Fri Aug 21 22:08:17 2026 commencing in-memory singleton removal Fri Aug 21 22:08:30 2026 begin with 51896569 relations and 50724869 unique ideals Fri Aug 21 22:09:23 2026 reduce to 51668518 relations and 47501184 ideals in 7 passes Fri Aug 21 22:09:23 2026 max relations containing the same ideal: 158 Fri Aug 21 22:10:23 2026 removing 3942542 relations and 2942542 ideals in 1000000 cliques Fri Aug 21 22:10:26 2026 commencing in-memory singleton removal Fri Aug 21 22:10:39 2026 begin with 47725976 relations and 47501184 unique ideals Fri Aug 21 22:11:28 2026 reduce to 47486732 relations and 44315304 ideals in 7 passes Fri Aug 21 22:11:28 2026 max relations containing the same ideal: 149 Fri Aug 21 22:12:25 2026 removing 3916010 relations and 2916010 ideals in 1000000 cliques Fri Aug 21 22:12:28 2026 commencing in-memory singleton removal Fri Aug 21 22:12:37 2026 begin with 43570722 relations and 44315304 unique ideals Fri Aug 21 22:13:20 2026 reduce to 43316503 relations and 41140527 ideals in 7 passes Fri Aug 21 22:13:20 2026 max relations containing the same ideal: 140 Fri Aug 21 22:14:14 2026 removing 3910357 relations and 2910357 ideals in 1000000 cliques Fri Aug 21 22:14:16 2026 commencing in-memory singleton removal Fri Aug 21 22:14:26 2026 begin with 39406146 relations and 41140527 unique ideals Fri Aug 21 22:15:10 2026 reduce to 39130291 relations and 37948853 ideals in 8 passes Fri Aug 21 22:15:10 2026 max relations containing the same ideal: 132 Fri Aug 21 22:15:55 2026 removing 2960230 relations and 2254707 ideals in 705523 cliques Fri Aug 21 22:15:58 2026 commencing in-memory singleton removal Fri Aug 21 22:16:07 2026 begin with 36170061 relations and 37948853 unique ideals Fri Aug 21 22:16:43 2026 reduce to 36001916 relations and 35523326 ideals in 7 passes Fri Aug 21 22:16:43 2026 max relations containing the same ideal: 124 Fri Aug 21 22:17:36 2026 relations with 0 large ideals: 1571 Fri Aug 21 22:17:36 2026 relations with 1 large ideals: 2403 Fri Aug 21 22:17:36 2026 relations with 2 large ideals: 44117 Fri Aug 21 22:17:36 2026 relations with 3 large ideals: 378894 Fri Aug 21 22:17:36 2026 relations with 4 large ideals: 1771616 Fri Aug 21 22:17:36 2026 relations with 5 large ideals: 4990979 Fri Aug 21 22:17:36 2026 relations with 6 large ideals: 8838536 Fri Aug 21 22:17:36 2026 relations with 7+ large ideals: 19973800 Fri Aug 21 22:17:36 2026 commencing 2-way merge Fri Aug 21 22:18:44 2026 reduce to 23485152 relation sets and 23006562 unique ideals Fri Aug 21 22:18:44 2026 commencing full merge Fri Aug 21 22:35:46 2026 memory use: 2821.8 MB Fri Aug 21 22:35:51 2026 found 11599975 cycles, need 11538762 Fri Aug 21 22:35:59 2026 weight of 11538762 cycles is about 1038923071 (90.04/cycle) Fri Aug 21 22:35:59 2026 distribution of cycle lengths: Fri Aug 21 22:35:59 2026 1 relations: 960069 Fri Aug 21 22:35:59 2026 2 relations: 1146453 Fri Aug 21 22:35:59 2026 3 relations: 1188137 Fri Aug 21 22:35:59 2026 4 relations: 1115811 Fri Aug 21 22:35:59 2026 5 relations: 1061296 Fri Aug 21 22:35:59 2026 6 relations: 987719 Fri Aug 21 22:35:59 2026 7 relations: 897993 Fri Aug 21 22:35:59 2026 8 relations: 800237 Fri Aug 21 22:35:59 2026 9 relations: 701941 Fri Aug 21 22:35:59 2026 10+ relations: 2679106 Fri Aug 21 22:35:59 2026 heaviest cycle: 24 relations Fri Aug 21 22:36:05 2026 commencing cycle optimization Fri Aug 21 22:36:48 2026 start with 75882078 relations Fri Aug 21 22:41:32 2026 pruned 2574291 relations Fri Aug 21 22:41:35 2026 memory use: 2275.8 MB Fri Aug 21 22:41:35 2026 distribution of cycle lengths: Fri Aug 21 22:41:35 2026 1 relations: 960069 Fri Aug 21 22:41:35 2026 2 relations: 1175595 Fri Aug 21 22:41:35 2026 3 relations: 1237335 Fri Aug 21 22:41:35 2026 4 relations: 1154327 Fri Aug 21 22:41:35 2026 5 relations: 1100814 Fri Aug 21 22:41:35 2026 6 relations: 1016353 Fri Aug 21 22:41:35 2026 7 relations: 922773 Fri Aug 21 22:41:36 2026 8 relations: 815576 Fri Aug 21 22:41:36 2026 9 relations: 708418 Fri Aug 21 22:41:36 2026 10+ relations: 2447502 Fri Aug 21 22:41:36 2026 heaviest cycle: 24 relations Fri Aug 21 22:42:13 2026 RelProcTime: 7446 Fri Aug 21 22:42:14 2026 Fri Aug 21 22:42:14 2026 commencing linear algebra Fri Aug 21 22:42:14 2026 using VBITS=256 Fri Aug 21 22:42:15 2026 read 11538762 cycles Fri Aug 21 22:42:46 2026 cycles contain 35689369 unique relations Fri Aug 21 22:49:01 2026 read 35689369 relations Fri Aug 21 22:52:26 2026 using 20 quadratic characters above 4294917295 Fri Aug 21 22:56:26 2026 building initial matrix Fri Aug 21 23:09:54 2026 memory use: 5033.2 MB Fri Aug 21 23:10:18 2026 read 11538762 cycles Fri Aug 21 23:10:21 2026 matrix is 11538584 x 11538762 (4296.5 MB) with weight 1347394858 (116.77/col) Fri Aug 21 23:10:21 2026 sparse part has weight 987840991 (85.61/col) Fri Aug 21 23:13:42 2026 filtering completed in 2 passes Fri Aug 21 23:13:48 2026 matrix is 11537550 x 11537727 (4296.4 MB) with weight 1347353046 (116.78/col) Fri Aug 21 23:13:48 2026 sparse part has weight 987832217 (85.62/col) Fri Aug 21 23:14:28 2026 matrix starts at (0, 0) Fri Aug 21 23:14:31 2026 matrix is 11537550 x 11537727 (4296.4 MB) with weight 1347353046 (116.78/col) Fri Aug 21 23:14:31 2026 sparse part has weight 987832217 (85.62/col) Fri Aug 21 23:14:31 2026 saving the first 240 matrix rows for later Fri Aug 21 23:14:34 2026 matrix includes 256 packed rows Fri Aug 21 23:14:40 2026 matrix is 11537310 x 11537727 (3945.5 MB) with weight 905310249 (78.47/col) Fri Aug 21 23:14:40 2026 sparse part has weight 849693710 (73.64/col) Fri Aug 21 23:14:41 2026 using GPU 0 (NVIDIA GeForce RTX 3080) Fri Aug 21 23:14:41 2026 selected card has CUDA arch 8.6 Fri Aug 21 23:36:09 2026 commencing Lanczos iteration Fri Aug 21 23:36:18 2026 memory use: 9387.5 MB Fri Aug 21 23:39:44 2026 linear algebra at 0.3%, ETA 20h58m Fri Aug 21 23:44:42 2026 checking every 10000 dimensions, checkpointing every 560000 dimensions Sat Aug 22 20:28:39 2026 lanczos halted after 45203 iterations (dim = 11537310) Sat Aug 22 20:29:57 2026 recovered 32 nontrivial dependencies Sat Aug 22 20:30:05 2026 BLanczosTime: 78471 Sat Aug 22 20:30:05 2026 Sat Aug 22 20:30:05 2026 commencing square root phase Sat Aug 22 20:30:05 2026 handling dependencies 1 to 64 Sat Aug 22 20:30:05 2026 reading relations for dependency 1 Sat Aug 22 20:31:20 2026 read 5767594 cycles Sat Aug 22 20:31:40 2026 cycles contain 17849620 unique relations Sat Aug 22 20:34:40 2026 read 17849620 relations Sat Aug 22 20:40:29 2026 multiplying 17849620 relations Sat Aug 22 21:05:17 2026 multiply complete, coefficients have about 925.83 million bits Sat Aug 22 21:05:26 2026 initial square root is modulo 202349417 Sat Aug 22 21:30:27 2026 sqrtTime: 3622 Sat Aug 22 21:30:27 2026 p78 factor: 152962512346358739938790452646942748049310321641295015561962394123491362874867 Sat Aug 22 21:30:27 2026 p94 factor: 2112348003971778468008003155960939477776788797093440784656261406659461155731347802985875365227 Sat Aug 22 21:30:27 2026 elapsed time 24:52:20