Tue Feb 17 12:52:28 2026 Msieve v. 1.54 (SVN 573b9ef) Tue Feb 17 12:52:28 2026 random seeds: 3a0dcdfd b5d291e9 Tue Feb 17 12:52:28 2026 Using 32 OpenMP threads Tue Feb 17 12:52:28 2026 factoring 1074178648430976507347761629948170883820538225537174258797893519952226404913914571930792852731220123752675631759289938876465982052888807346027746740139026662549051668921618664685132282124567321 (193 digits) Tue Feb 17 12:52:29 2026 no P-1/P+1/ECM available, skipping Tue Feb 17 12:52:29 2026 commencing number field sieve (193-digit input) Tue Feb 17 12:52:29 2026 R0: 207810857285861273983840183151498711142728299254199 Tue Feb 17 12:52:29 2026 R1: -1 Tue Feb 17 12:52:29 2026 A0: 1 Tue Feb 17 12:52:29 2026 A1: 1 Tue Feb 17 12:52:29 2026 A2: 1 Tue Feb 17 12:52:29 2026 A3: 1 Tue Feb 17 12:52:29 2026 A4: 1 Tue Feb 17 12:52:29 2026 skew 1.91, size 1.527e-20, alpha 1.694, combined = 2.756e-12 rroots = 0 Tue Feb 17 12:52:29 2026 Tue Feb 17 12:52:29 2026 commencing relation filtering Tue Feb 17 12:52:29 2026 setting target matrix density to 100.0 Tue Feb 17 12:52:29 2026 estimated available RAM is 128740.1 MB Tue Feb 17 12:52:29 2026 commencing duplicate removal, pass 1 Tue Feb 17 12:54:30 2026 skipped 54 relations with b > 2^32 Tue Feb 17 12:54:30 2026 found 3912318 hash collisions in 94391103 relations Tue Feb 17 12:54:35 2026 added 3657549 free relations Tue Feb 17 12:54:35 2026 commencing duplicate removal, pass 2 Tue Feb 17 12:54:59 2026 found 0 duplicates and 98048652 unique relations Tue Feb 17 12:54:59 2026 memory use: 277.2 MB Tue Feb 17 12:54:59 2026 reading ideals above 720000 Tue Feb 17 12:54:59 2026 commencing singleton removal, initial pass Tue Feb 17 12:59:27 2026 memory use: 2756.0 MB Tue Feb 17 12:59:27 2026 reading all ideals from disk Tue Feb 17 12:59:29 2026 memory use: 4346.1 MB Tue Feb 17 12:59:35 2026 keeping 82245717 ideals with weight <= 200, target excess is 476165 Tue Feb 17 12:59:45 2026 commencing in-memory singleton removal Tue Feb 17 12:59:47 2026 begin with 98048652 relations and 82245717 unique ideals Tue Feb 17 12:59:59 2026 reduce to 75170561 relations and 58266328 ideals in 13 passes Tue Feb 17 12:59:59 2026 max relations containing the same ideal: 178 Tue Feb 17 13:00:23 2026 removing 9192710 relations and 7192711 ideals in 2000000 cliques Tue Feb 17 13:00:26 2026 commencing in-memory singleton removal Tue Feb 17 13:00:27 2026 begin with 65977851 relations and 58266328 unique ideals Tue Feb 17 13:00:34 2026 reduce to 65065681 relations and 50129921 ideals in 9 passes Tue Feb 17 13:00:34 2026 max relations containing the same ideal: 163 Tue Feb 17 13:00:55 2026 removing 7207527 relations and 5207527 ideals in 2000000 cliques Tue Feb 17 13:00:57 2026 commencing in-memory singleton removal Tue Feb 17 13:00:58 2026 begin with 57858154 relations and 50129921 unique ideals Tue Feb 17 13:01:03 2026 reduce to 57224141 relations and 44268018 ideals in 8 passes Tue Feb 17 13:01:03 2026 max relations containing the same ideal: 153 Tue Feb 17 13:01:22 2026 removing 6644396 relations and 4644396 ideals in 2000000 cliques Tue Feb 17 13:01:25 2026 commencing in-memory singleton removal Tue Feb 17 13:01:26 2026 begin with 50579745 relations and 44268018 unique ideals Tue Feb 17 13:01:29 2026 reduce to 50006434 relations and 39030921 ideals in 7 passes Tue Feb 17 13:01:29 2026 max relations containing the same ideal: 139 Tue Feb 17 13:01:46 2026 removing 6353146 relations and 4353146 ideals in 2000000 cliques Tue Feb 17 13:01:48 2026 commencing in-memory singleton removal Tue Feb 17 13:01:49 2026 begin with 43653288 relations and 39030921 unique ideals Tue Feb 17 13:01:53 2026 reduce to 43090982 relations and 34094387 ideals in 8 passes Tue Feb 17 13:01:53 2026 max relations containing the same ideal: 130 Tue Feb 17 13:02:08 2026 removing 6167976 relations and 4167976 ideals in 2000000 cliques Tue Feb 17 13:02:10 2026 commencing in-memory singleton removal Tue Feb 17 13:02:10 2026 begin with 36923006 relations and 34094387 unique ideals Tue Feb 17 13:02:14 2026 reduce to 36343309 relations and 29321923 ideals in 8 passes Tue Feb 17 13:02:14 2026 max relations containing the same ideal: 114 Tue Feb 17 13:02:26 2026 removing 6029290 relations and 4029290 ideals in 2000000 cliques Tue Feb 17 13:02:28 2026 commencing in-memory singleton removal Tue Feb 17 13:02:29 2026 begin with 30314019 relations and 29321923 unique ideals Tue Feb 17 13:02:31 2026 reduce to 29693891 relations and 24641464 ideals in 9 passes Tue Feb 17 13:02:31 2026 max relations containing the same ideal: 98 Tue Feb 17 13:02:42 2026 removing 5914863 relations and 3914863 ideals in 2000000 cliques Tue Feb 17 13:02:44 2026 commencing in-memory singleton removal Tue Feb 17 13:02:44 2026 begin with 23779028 relations and 24641464 unique ideals Tue Feb 17 13:02:46 2026 reduce to 23085584 relations and 19991234 ideals in 8 passes Tue Feb 17 13:02:46 2026 max relations containing the same ideal: 82 Tue Feb 17 13:02:55 2026 removing 5796314 relations and 3796314 ideals in 2000000 cliques Tue Feb 17 13:02:57 2026 commencing in-memory singleton removal Tue Feb 17 13:02:57 2026 begin with 17289270 relations and 19991234 unique ideals Tue Feb 17 13:02:58 2026 reduce to 16464875 relations and 15306079 ideals in 8 passes Tue Feb 17 13:02:58 2026 max relations containing the same ideal: 66 Tue Feb 17 13:03:04 2026 removing 2176454 relations and 1570010 ideals in 606444 cliques Tue Feb 17 13:03:05 2026 commencing in-memory singleton removal Tue Feb 17 13:03:06 2026 begin with 14288421 relations and 15306079 unique ideals Tue Feb 17 13:03:07 2026 reduce to 14079364 relations and 13519446 ideals in 8 passes Tue Feb 17 13:03:07 2026 max relations containing the same ideal: 59 Tue Feb 17 13:03:14 2026 relations with 0 large ideals: 38440 Tue Feb 17 13:03:14 2026 relations with 1 large ideals: 8603 Tue Feb 17 13:03:14 2026 relations with 2 large ideals: 102446 Tue Feb 17 13:03:14 2026 relations with 3 large ideals: 610446 Tue Feb 17 13:03:14 2026 relations with 4 large ideals: 1934355 Tue Feb 17 13:03:14 2026 relations with 5 large ideals: 3968526 Tue Feb 17 13:03:14 2026 relations with 6 large ideals: 3707034 Tue Feb 17 13:03:14 2026 relations with 7+ large ideals: 3709514 Tue Feb 17 13:03:14 2026 commencing 2-way merge Tue Feb 17 13:03:20 2026 reduce to 9235932 relation sets and 8676014 unique ideals Tue Feb 17 13:03:20 2026 commencing full merge Tue Feb 17 13:06:05 2026 memory use: 1137.3 MB Tue Feb 17 13:06:05 2026 found 4412681 cycles, need 4356214 Tue Feb 17 13:06:06 2026 weight of 4356214 cycles is about 435920721 (100.07/cycle) Tue Feb 17 13:06:06 2026 distribution of cycle lengths: Tue Feb 17 13:06:06 2026 1 relations: 188467 Tue Feb 17 13:06:06 2026 2 relations: 263997 Tue Feb 17 13:06:06 2026 3 relations: 318043 Tue Feb 17 13:06:06 2026 4 relations: 339353 Tue Feb 17 13:06:06 2026 5 relations: 346629 Tue Feb 17 13:06:06 2026 6 relations: 346371 Tue Feb 17 13:06:06 2026 7 relations: 337149 Tue Feb 17 13:06:06 2026 8 relations: 320112 Tue Feb 17 13:06:06 2026 9 relations: 295613 Tue Feb 17 13:06:06 2026 10+ relations: 1600480 Tue Feb 17 13:06:06 2026 heaviest cycle: 28 relations Tue Feb 17 13:06:07 2026 commencing cycle optimization Tue Feb 17 13:06:12 2026 start with 36561334 relations Tue Feb 17 13:06:55 2026 pruned 1718415 relations Tue Feb 17 13:06:55 2026 memory use: 959.1 MB Tue Feb 17 13:06:55 2026 distribution of cycle lengths: Tue Feb 17 13:06:55 2026 1 relations: 188467 Tue Feb 17 13:06:55 2026 2 relations: 269953 Tue Feb 17 13:06:55 2026 3 relations: 331553 Tue Feb 17 13:06:55 2026 4 relations: 354267 Tue Feb 17 13:06:55 2026 5 relations: 365826 Tue Feb 17 13:06:55 2026 6 relations: 364825 Tue Feb 17 13:06:55 2026 7 relations: 357328 Tue Feb 17 13:06:55 2026 8 relations: 336641 Tue Feb 17 13:06:55 2026 9 relations: 309994 Tue Feb 17 13:06:55 2026 10+ relations: 1477360 Tue Feb 17 13:06:55 2026 heaviest cycle: 28 relations Tue Feb 17 13:06:58 2026 RelProcTime: 869 Tue Feb 17 13:06:58 2026 elapsed time 00:14:30 Tue Feb 17 13:19:48 2026 Tue Feb 17 13:19:48 2026 Tue Feb 17 13:19:48 2026 Msieve v. 1.54 (SVN 573b9ef) Tue Feb 17 13:19:48 2026 random seeds: d4dce831 c9e0fb13 Tue Feb 17 13:19:48 2026 MPI process 0 of 2 Tue Feb 17 13:19:48 2026 Using 8 OpenMP threads Tue Feb 17 13:19:48 2026 factoring 1074178648430976507347761629948170883820538225537174258797893519952226404913914571930792852731220123752675631759289938876465982052888807346027746740139026662549051668921618664685132282124567321 (193 digits) Tue Feb 17 13:19:48 2026 no P-1/P+1/ECM available, skipping Tue Feb 17 13:19:48 2026 commencing number field sieve (193-digit input) Tue Feb 17 13:19:48 2026 R0: 207810857285861273983840183151498711142728299254199 Tue Feb 17 13:19:48 2026 R1: -1 Tue Feb 17 13:19:48 2026 A0: 1 Tue Feb 17 13:19:48 2026 A1: 1 Tue Feb 17 13:19:48 2026 A2: 1 Tue Feb 17 13:19:48 2026 A3: 1 Tue Feb 17 13:19:48 2026 A4: 1 Tue Feb 17 13:19:48 2026 skew 1.91, size 1.527e-20, alpha 1.694, combined = 2.756e-12 rroots = 0 Tue Feb 17 13:19:48 2026 Tue Feb 17 13:19:48 2026 commencing linear algebra Tue Feb 17 13:19:48 2026 using VBITS=256 Tue Feb 17 13:19:48 2026 initialized process (0,0) of 1 x 2 grid Tue Feb 17 13:19:49 2026 read 4356214 cycles Tue Feb 17 13:19:57 2026 cycles contain 13751700 unique relations Tue Feb 17 13:20:11 2026 read 13751700 relations Tue Feb 17 13:20:14 2026 using 20 quadratic characters above 4294917295 Tue Feb 17 13:20:20 2026 building initial matrix Tue Feb 17 13:22:46 2026 memory use: 1678.3 MB Tue Feb 17 13:22:49 2026 read 4356214 cycles Tue Feb 17 13:22:50 2026 matrix is 4356037 x 4356214 (1748.8 MB) with weight 504516937 (115.82/col) Tue Feb 17 13:22:50 2026 sparse part has weight 410521215 (94.24/col) Tue Feb 17 13:23:26 2026 filtering completed in 2 passes Tue Feb 17 13:23:27 2026 matrix is 4355764 x 4355923 (1748.8 MB) with weight 504507002 (115.82/col) Tue Feb 17 13:23:27 2026 sparse part has weight 410517366 (94.24/col) Tue Feb 17 13:23:37 2026 matrix starts at (0, 0) Tue Feb 17 13:23:37 2026 matrix is 4355764 x 2177952 (874.4 MB) with weight 252259443 (115.82/col) Tue Feb 17 13:23:37 2026 sparse part has weight 205258819 (94.24/col) Tue Feb 17 13:23:37 2026 saving the first 240 matrix rows for later Tue Feb 17 13:23:37 2026 matrix includes 256 packed rows Tue Feb 17 13:23:39 2026 matrix is 4355524 x 2177952 (802.3 MB) with weight 185791252 (85.31/col) Tue Feb 17 13:23:39 2026 sparse part has weight 175477277 (80.57/col) Tue Feb 17 13:23:39 2026 using GPU 0 (NVIDIA GeForce RTX 3090 Ti) Tue Feb 17 13:23:39 2026 selected card has CUDA arch 8.6 Tue Feb 17 13:23:48 2026 commencing Lanczos iteration Tue Feb 17 13:23:49 2026 memory use: 2094.8 MB Tue Feb 17 13:23:56 2026 linear algebra at 0.7%, ETA 0h16m Tue Feb 17 13:24:07 2026 checking every 250000 dimensions, checkpointing every 15500000 dimensions Tue Feb 17 13:40:10 2026 lanczos halted after 17066 iterations (dim = 4355521) Tue Feb 17 13:40:26 2026 recovered 35 nontrivial dependencies Tue Feb 17 13:40:27 2026 BLanczosTime: 1239 Tue Feb 17 13:40:27 2026 elapsed time 00:20:39 Tue Feb 17 13:47:36 2026 Tue Feb 17 13:47:36 2026 Tue Feb 17 13:47:36 2026 Msieve v. 1.54 (SVN 573b9ef) Tue Feb 17 13:47:36 2026 random seeds: dae7ba31 837ec3e6 Tue Feb 17 13:47:36 2026 Using 32 OpenMP threads Tue Feb 17 13:47:36 2026 factoring 1074178648430976507347761629948170883820538225537174258797893519952226404913914571930792852731220123752675631759289938876465982052888807346027746740139026662549051668921618664685132282124567321 (193 digits) Tue Feb 17 13:47:36 2026 no P-1/P+1/ECM available, skipping Tue Feb 17 13:47:36 2026 commencing number field sieve (193-digit input) Tue Feb 17 13:47:36 2026 R0: 207810857285861273983840183151498711142728299254199 Tue Feb 17 13:47:36 2026 R1: -1 Tue Feb 17 13:47:36 2026 A0: 1 Tue Feb 17 13:47:36 2026 A1: 1 Tue Feb 17 13:47:36 2026 A2: 1 Tue Feb 17 13:47:36 2026 A3: 1 Tue Feb 17 13:47:36 2026 A4: 1 Tue Feb 17 13:47:36 2026 skew 1.91, size 1.527e-20, alpha 1.694, combined = 2.756e-12 rroots = 0 Tue Feb 17 13:47:36 2026 Tue Feb 17 13:47:36 2026 commencing square root phase Tue Feb 17 13:47:36 2026 reading relations for dependency 1 Tue Feb 17 13:47:36 2026 read 2176862 cycles Tue Feb 17 13:47:38 2026 cycles contain 6872830 unique relations Tue Feb 17 13:47:43 2026 read 6872830 relations Tue Feb 17 13:48:04 2026 multiplying 6872830 relations Tue Feb 17 13:48:24 2026 multiply complete, coefficients have about 173.22 million bits Tue Feb 17 13:48:25 2026 initial square root is modulo 1646747 Tue Feb 17 13:49:02 2026 sqrtTime: 86 Tue Feb 17 13:49:02 2026 p51 factor: 264436852619584749681025964232988973041607945570141 Tue Feb 17 13:49:02 2026 p142 factor: 4062136717291349944654068260799542348161381182165315661735136282858043532067335615747956447723018088089087075478038142468339273832130674399981 Tue Feb 17 13:49:02 2026 elapsed time 00:01:26