Tue Aug 11 08:50:36 2026 Msieve v. 1.54 (SVN Unversioned directory) Tue Aug 11 08:50:36 2026 random seeds: 162efaa9 244ef242 Tue Aug 11 08:50:36 2026 Using 2 OpenMP threads Tue Aug 11 08:50:36 2026 factoring 44252698692041732905561423712077303843182005395073546870997756997561164497784714855743330226242330576792461940220549665065984492399068078243207431954518379008607 (161 digits) Tue Aug 11 08:50:37 2026 no P-1/P+1/ECM available, skipping Tue Aug 11 08:50:37 2026 commencing number field sieve (161-digit input) Tue Aug 11 08:50:37 2026 R0: -17738629938006407460008619008665 Tue Aug 11 08:50:37 2026 R1: 519117123820566820573 Tue Aug 11 08:50:37 2026 A0: -8569282843652387278675512916500217920 Tue Aug 11 08:50:37 2026 A1: 15442862677890919130322065936328 Tue Aug 11 08:50:37 2026 A2: 4845056687539856531204554 Tue Aug 11 08:50:37 2026 A3: -10957595703255317617 Tue Aug 11 08:50:37 2026 A4: -605847179270 Tue Aug 11 08:50:37 2026 A5: 126000 Tue Aug 11 08:50:37 2026 skew 2455280.59, size 2.018e-15, alpha -7.151, combined = 1.783e-12 rroots = 5 Tue Aug 11 08:50:37 2026 Tue Aug 11 08:50:37 2026 commencing relation filtering Tue Aug 11 08:50:37 2026 estimated available RAM is 31871.6 MB Tue Aug 11 08:50:37 2026 commencing duplicate removal, pass 1 Tue Aug 11 08:50:57 2026 error -1 reading relation 2770650 Tue Aug 11 08:50:58 2026 error -1 reading relation 2919528 Tue Aug 11 08:50:58 2026 error -5 reading relation 2919529 Tue Aug 11 08:52:03 2026 error -1 reading relation 11773274 Tue Aug 11 08:52:03 2026 error -1 reading relation 11773275 Tue Aug 11 08:53:20 2026 error -1 reading relation 20937957 Tue Aug 11 08:53:20 2026 error -1 reading relation 20937958 Tue Aug 11 08:53:22 2026 error -1 reading relation 21174308 Tue Aug 11 08:53:22 2026 error -1 reading relation 21174309 Tue Aug 11 08:53:37 2026 error -1 reading relation 22991484 Tue Aug 11 08:53:37 2026 error -1 reading relation 22991485 Tue Aug 11 08:55:14 2026 error -1 reading relation 34973076 Tue Aug 11 08:55:14 2026 error -1 reading relation 34973077 Tue Aug 11 08:55:32 2026 error -1 reading relation 37330588 Tue Aug 11 08:56:02 2026 error -1 reading relation 41017374 Tue Aug 11 08:56:02 2026 error -1 reading relation 41017375 Tue Aug 11 08:56:22 2026 error -1 reading relation 43212797 Tue Aug 11 08:57:20 2026 error -1 reading relation 50582797 Tue Aug 11 08:57:20 2026 error -1 reading relation 50582798 Tue Aug 11 08:59:33 2026 error -1 reading relation 67927803 Tue Aug 11 08:59:35 2026 error -1 reading relation 68192184 Tue Aug 11 08:59:47 2026 error -1 reading relation 69501911 Tue Aug 11 08:59:51 2026 error -1 reading relation 69979201 Tue Aug 11 08:59:51 2026 error -1 reading relation 69979202 Tue Aug 11 09:00:06 2026 error -1 reading relation 71650606 Tue Aug 11 09:00:52 2026 error -1 reading relation 77060566 Tue Aug 11 09:01:05 2026 error -1 reading relation 78602775 Tue Aug 11 09:01:20 2026 error -1 reading relation 80315161 Tue Aug 11 09:02:19 2026 error -1 reading relation 86676865 Tue Aug 11 09:02:19 2026 error -1 reading relation 86676866 Tue Aug 11 09:02:19 2026 error -1 reading relation 86676867 Tue Aug 11 09:02:38 2026 error -1 reading relation 88829540 Tue Aug 11 09:02:38 2026 error -15 reading relation 88869277 Tue Aug 11 09:03:04 2026 error -1 reading relation 91625137 Tue Aug 11 09:03:04 2026 error -1 reading relation 91625138 Tue Aug 11 09:03:07 2026 error -1 reading relation 91988295 Tue Aug 11 09:03:16 2026 error -1 reading relation 92900793 Tue Aug 11 09:04:06 2026 error -1 reading relation 98297211 Tue Aug 11 09:04:31 2026 error -1 reading relation 100994767 Tue Aug 11 09:04:31 2026 error -11 reading relation 100994768 Tue Aug 11 09:04:37 2026 error -1 reading relation 101791720 Tue Aug 11 09:04:37 2026 error -1 reading relation 101791721 Tue Aug 11 09:05:13 2026 error -1 reading relation 105733945 Tue Aug 11 09:05:18 2026 error -1 reading relation 106274463 Tue Aug 11 09:05:58 2026 error -1 reading relation 110179651 Tue Aug 11 09:06:12 2026 skipped 6 malformed relations Tue Aug 11 09:06:12 2026 found 5418897 hash collisions in 111659805 relations Tue Aug 11 09:06:47 2026 added 122011 free relations Tue Aug 11 09:06:47 2026 commencing duplicate removal, pass 2 Tue Aug 11 09:08:44 2026 found 0 duplicates and 111781816 unique relations Tue Aug 11 09:08:44 2026 memory use: 394.4 MB Tue Aug 11 09:08:44 2026 reading ideals above 720000 Tue Aug 11 09:08:44 2026 commencing singleton removal, initial pass Tue Aug 11 09:30:39 2026 memory use: 3012.0 MB Tue Aug 11 09:30:40 2026 reading all ideals from disk Tue Aug 11 09:31:27 2026 memory use: 4987.3 MB Tue Aug 11 09:32:08 2026 keeping 113014410 ideals with weight <= 200, target excess is 576415 Tue Aug 11 09:32:32 2026 commencing in-memory singleton removal Tue Aug 11 09:32:50 2026 begin with 111781816 relations and 113014410 unique ideals Tue Aug 11 09:34:19 2026 reduce to 52623964 relations and 45520982 ideals in 17 passes Tue Aug 11 09:34:19 2026 max relations containing the same ideal: 126 Tue Aug 11 09:35:15 2026 removing 6736639 relations and 5736639 ideals in 1000000 cliques Tue Aug 11 09:35:19 2026 commencing in-memory singleton removal Tue Aug 11 09:35:25 2026 begin with 45887325 relations and 45520982 unique ideals Tue Aug 11 09:36:01 2026 reduce to 45244203 relations and 39125539 ideals in 11 passes Tue Aug 11 09:36:01 2026 max relations containing the same ideal: 113 Tue Aug 11 09:36:49 2026 removing 5057139 relations and 4057139 ideals in 1000000 cliques Tue Aug 11 09:36:52 2026 commencing in-memory singleton removal Tue Aug 11 09:36:58 2026 begin with 40187064 relations and 39125539 unique ideals Tue Aug 11 09:37:22 2026 reduce to 39756094 relations and 34628061 ideals in 9 passes Tue Aug 11 09:37:22 2026 max relations containing the same ideal: 103 Tue Aug 11 09:38:04 2026 removing 4540928 relations and 3540928 ideals in 1000000 cliques Tue Aug 11 09:38:07 2026 commencing in-memory singleton removal Tue Aug 11 09:38:11 2026 begin with 35215166 relations and 34628061 unique ideals Tue Aug 11 09:38:32 2026 reduce to 34820485 relations and 30683244 ideals in 8 passes Tue Aug 11 09:38:32 2026 max relations containing the same ideal: 98 Tue Aug 11 09:39:08 2026 removing 4282146 relations and 3282146 ideals in 1000000 cliques Tue Aug 11 09:39:11 2026 commencing in-memory singleton removal Tue Aug 11 09:39:15 2026 begin with 30538339 relations and 30683244 unique ideals Tue Aug 11 09:39:32 2026 reduce to 30147274 relations and 27000008 ideals in 9 passes Tue Aug 11 09:39:32 2026 max relations containing the same ideal: 90 Tue Aug 11 09:40:03 2026 removing 4117801 relations and 3117801 ideals in 1000000 cliques Tue Aug 11 09:40:06 2026 commencing in-memory singleton removal Tue Aug 11 09:40:08 2026 begin with 26029473 relations and 27000008 unique ideals Tue Aug 11 09:40:23 2026 reduce to 25620829 relations and 23461555 ideals in 9 passes Tue Aug 11 09:40:24 2026 max relations containing the same ideal: 83 Tue Aug 11 09:40:50 2026 removing 4008630 relations and 3008630 ideals in 1000000 cliques Tue Aug 11 09:40:52 2026 commencing in-memory singleton removal Tue Aug 11 09:40:55 2026 begin with 21612199 relations and 23461555 unique ideals Tue Aug 11 09:41:08 2026 reduce to 21167861 relations and 19993749 ideals in 9 passes Tue Aug 11 09:41:08 2026 max relations containing the same ideal: 71 Tue Aug 11 09:41:30 2026 removing 2312166 relations and 1806696 ideals in 505470 cliques Tue Aug 11 09:41:31 2026 commencing in-memory singleton removal Tue Aug 11 09:41:33 2026 begin with 18855695 relations and 19993749 unique ideals Tue Aug 11 09:41:41 2026 reduce to 18695215 relations and 18023245 ideals in 7 passes Tue Aug 11 09:41:41 2026 max relations containing the same ideal: 64 Tue Aug 11 09:42:03 2026 relations with 0 large ideals: 1987 Tue Aug 11 09:42:03 2026 relations with 1 large ideals: 11865 Tue Aug 11 09:42:03 2026 relations with 2 large ideals: 161483 Tue Aug 11 09:42:03 2026 relations with 3 large ideals: 923643 Tue Aug 11 09:42:03 2026 relations with 4 large ideals: 2789337 Tue Aug 11 09:42:03 2026 relations with 5 large ideals: 4839670 Tue Aug 11 09:42:03 2026 relations with 6 large ideals: 5108779 Tue Aug 11 09:42:03 2026 relations with 7+ large ideals: 4858451 Tue Aug 11 09:42:03 2026 commencing 2-way merge Tue Aug 11 09:42:31 2026 reduce to 11366817 relation sets and 10694847 unique ideals Tue Aug 11 09:42:31 2026 commencing full merge Tue Aug 11 09:49:58 2026 memory use: 1366.5 MB Tue Aug 11 09:50:01 2026 found 5717545 cycles, need 5627047 Tue Aug 11 09:50:05 2026 weight of 5627047 cycles is about 506567300 (90.02/cycle) Tue Aug 11 09:50:05 2026 distribution of cycle lengths: Tue Aug 11 09:50:05 2026 1 relations: 448348 Tue Aug 11 09:50:05 2026 2 relations: 531967 Tue Aug 11 09:50:05 2026 3 relations: 554671 Tue Aug 11 09:50:05 2026 4 relations: 534178 Tue Aug 11 09:50:05 2026 5 relations: 516492 Tue Aug 11 09:50:05 2026 6 relations: 481612 Tue Aug 11 09:50:05 2026 7 relations: 449499 Tue Aug 11 09:50:05 2026 8 relations: 404592 Tue Aug 11 09:50:05 2026 9 relations: 357065 Tue Aug 11 09:50:05 2026 10+ relations: 1348623 Tue Aug 11 09:50:05 2026 heaviest cycle: 22 relations Tue Aug 11 09:50:08 2026 commencing cycle optimization Tue Aug 11 09:50:31 2026 start with 37375188 relations Tue Aug 11 09:52:40 2026 pruned 1173768 relations Tue Aug 11 09:52:41 2026 memory use: 1148.5 MB Tue Aug 11 09:52:41 2026 distribution of cycle lengths: Tue Aug 11 09:52:41 2026 1 relations: 448348 Tue Aug 11 09:52:41 2026 2 relations: 544842 Tue Aug 11 09:52:41 2026 3 relations: 576126 Tue Aug 11 09:52:41 2026 4 relations: 551800 Tue Aug 11 09:52:41 2026 5 relations: 534961 Tue Aug 11 09:52:41 2026 6 relations: 496351 Tue Aug 11 09:52:41 2026 7 relations: 462751 Tue Aug 11 09:52:41 2026 8 relations: 412996 Tue Aug 11 09:52:41 2026 9 relations: 361668 Tue Aug 11 09:52:41 2026 10+ relations: 1237204 Tue Aug 11 09:52:41 2026 heaviest cycle: 22 relations Tue Aug 11 09:53:03 2026 RelProcTime: 3746 Tue Aug 11 09:53:03 2026 Tue Aug 11 09:53:03 2026 commencing linear algebra Tue Aug 11 09:53:03 2026 using VBITS=256 Tue Aug 11 09:53:04 2026 read 5627047 cycles Tue Aug 11 09:53:18 2026 cycles contain 18239809 unique relations Tue Aug 11 09:57:16 2026 read 18239809 relations Tue Aug 11 09:58:17 2026 using 20 quadratic characters above 4294917295 Tue Aug 11 09:59:22 2026 building initial matrix Tue Aug 11 10:05:20 2026 memory use: 2476.2 MB Tue Aug 11 10:05:33 2026 read 5627047 cycles Tue Aug 11 10:05:34 2026 matrix is 5626868 x 5627047 (2074.2 MB) with weight 635960226 (113.02/col) Tue Aug 11 10:05:34 2026 sparse part has weight 481854467 (85.63/col) Tue Aug 11 10:07:23 2026 filtering completed in 2 passes Tue Aug 11 10:07:25 2026 matrix is 5625638 x 5625814 (2074.1 MB) with weight 635904963 (113.03/col) Tue Aug 11 10:07:25 2026 sparse part has weight 481834193 (85.65/col) Tue Aug 11 10:07:45 2026 matrix starts at (0, 0) Tue Aug 11 10:07:46 2026 matrix is 5625638 x 5625814 (2074.1 MB) with weight 635904963 (113.03/col) Tue Aug 11 10:07:46 2026 sparse part has weight 481834193 (85.65/col) Tue Aug 11 10:07:46 2026 saving the first 240 matrix rows for later Tue Aug 11 10:07:47 2026 matrix includes 256 packed rows Tue Aug 11 10:07:50 2026 matrix is 5625398 x 5625814 (1901.3 MB) with weight 436385424 (77.57/col) Tue Aug 11 10:07:50 2026 sparse part has weight 408401337 (72.59/col) Tue Aug 11 10:07:51 2026 using GPU 0 (NVIDIA GeForce RTX 3080) Tue Aug 11 10:07:51 2026 selected card has CUDA arch 8.6 Tue Aug 11 10:09:19 2026 commencing Lanczos iteration Tue Aug 11 10:09:21 2026 memory use: 4661.0 MB Tue Aug 11 10:09:43 2026 linear algebra at 0.5%, ETA 1h 3m Tue Aug 11 10:10:15 2026 checking every 80000 dimensions, checkpointing every 5280000 dimensions Tue Aug 11 11:13:57 2026 lanczos halted after 22041 iterations (dim = 5625397) Tue Aug 11 11:14:40 2026 recovered 28 nontrivial dependencies Tue Aug 11 11:14:40 2026 BLanczosTime: 4897 Tue Aug 11 11:14:40 2026 Tue Aug 11 11:14:40 2026 commencing square root phase Tue Aug 11 11:14:40 2026 handling dependencies 1 to 64 Tue Aug 11 11:14:40 2026 reading relations for dependency 1 Tue Aug 11 11:14:42 2026 read 2811623 cycles Tue Aug 11 11:14:48 2026 cycles contain 9112228 unique relations Tue Aug 11 11:19:18 2026 read 9112228 relations Tue Aug 11 11:20:51 2026 multiplying 9112228 relations Tue Aug 11 11:24:47 2026 multiply complete, coefficients have about 486.04 million bits Tue Aug 11 11:24:50 2026 initial square root is modulo 526096861 Tue Aug 11 11:32:32 2026 sqrtTime: 1072 Tue Aug 11 11:32:32 2026 p67 factor: 2250653590613807045750619027180710499417464153822484633569196657209 Tue Aug 11 11:32:32 2026 p95 factor: 19662154529952769817606166027183830586331715612986030987583478636215845759529789716345583739223 Tue Aug 11 11:32:32 2026 elapsed time 02:41:56