Sun Apr 26 09:00:52 2026 Sun Apr 26 09:00:52 2026 Sun Apr 26 09:00:52 2026 Msieve v. 1.54 (SVN unknown) Sun Apr 26 09:00:52 2026 random seeds: e39051cd 3ebaf4b4 Sun Apr 26 09:00:52 2026 Using 8 OpenMP threads Sun Apr 26 09:00:52 2026 factoring 13239847450421178242791253532328727923165671392741281217843954783118044275690025545019973500455536742032013565449119036350118244761403771025927734247608509542334943 (164 digits) Sun Apr 26 09:00:53 2026 no P-1/P+1/ECM available, skipping Sun Apr 26 09:00:53 2026 commencing number field sieve (164-digit input) Sun Apr 26 09:00:53 2026 R0: -116017658355676990625143088309406 Sun Apr 26 09:00:53 2026 R1: 303227196450812085059 Sun Apr 26 09:00:53 2026 A0: -74840133302797123307219305434993048050 Sun Apr 26 09:00:53 2026 A1: 446031123741153369263462618040385 Sun Apr 26 09:00:53 2026 A2: 205646278367948398470885206 Sun Apr 26 09:00:53 2026 A3: -3283264732033646533 Sun Apr 26 09:00:53 2026 A4: -346501686168 Sun Apr 26 09:00:53 2026 A5: 5040 Sun Apr 26 09:00:53 2026 skew 1.00, size 9.147e-16, alpha -6.923, combined = 6.455e-15 rroots = 5 Sun Apr 26 09:00:53 2026 Sun Apr 26 09:00:53 2026 commencing relation filtering Sun Apr 26 09:00:53 2026 setting 3 target densities:Sun Apr 26 09:00:53 2026 80Sun Apr 26 09:00:53 2026 100Sun Apr 26 09:00:53 2026 120Sun Apr 26 09:00:53 2026 Sun Apr 26 09:00:53 2026 estimated available RAM is 78540.1 MB Sun Apr 26 09:00:53 2026 commencing duplicate removal, pass 1 Sun Apr 26 09:03:19 2026 error -1 reading relation 115277649 Sun Apr 26 09:03:34 2026 skipped 14 malformed relations Sun Apr 26 09:03:34 2026 found 23038640 hash collisions in 135963189 relations Sun Apr 26 09:03:47 2026 added 122005 free relations Sun Apr 26 09:03:47 2026 commencing duplicate removal, pass 2 Sun Apr 26 09:04:33 2026 found 22738581 duplicates and 113346613 unique relations Sun Apr 26 09:04:33 2026 memory use: 788.8 MB Sun Apr 26 09:04:34 2026 reading ideals above 720000 Sun Apr 26 09:04:34 2026 commencing singleton removal, initial pass Sun Apr 26 09:08:53 2026 memory use: 3012.0 MB Sun Apr 26 09:08:53 2026 reading all ideals from disk Sun Apr 26 09:08:56 2026 memory use: 5085.4 MB Sun Apr 26 09:09:02 2026 keeping 115260025 ideals with weight <= 200, target excess is 604013 Sun Apr 26 09:09:08 2026 commencing in-memory singleton removal Sun Apr 26 09:09:09 2026 begin with 113346613 relations and 115260025 unique ideals Sun Apr 26 09:09:16 2026 reduce to 53713984 relations and 47341968 ideals in 18 passes Sun Apr 26 09:09:16 2026 max relations containing the same ideal: 126 Sun Apr 26 09:09:29 2026 removing 6922572 relations and 5922572 ideals in 1000000 cliques Sun Apr 26 09:09:31 2026 commencing in-memory singleton removal Sun Apr 26 09:09:31 2026 begin with 46791412 relations and 47341968 unique ideals Sun Apr 26 09:09:34 2026 reduce to 46123666 relations and 40735816 ideals in 10 passes Sun Apr 26 09:09:34 2026 max relations containing the same ideal: 115 Sun Apr 26 09:09:44 2026 removing 5216392 relations and 4216392 ideals in 1000000 cliques Sun Apr 26 09:09:45 2026 commencing in-memory singleton removal Sun Apr 26 09:09:46 2026 begin with 40907274 relations and 40735816 unique ideals Sun Apr 26 09:09:48 2026 reduce to 40455149 relations and 36057490 ideals in 9 passes Sun Apr 26 09:09:48 2026 max relations containing the same ideal: 107 Sun Apr 26 09:09:58 2026 removing 4700379 relations and 3700379 ideals in 1000000 cliques Sun Apr 26 09:09:59 2026 commencing in-memory singleton removal Sun Apr 26 09:09:59 2026 begin with 35754770 relations and 36057490 unique ideals Sun Apr 26 09:10:01 2026 reduce to 35336838 relations and 31929471 ideals in 8 passes Sun Apr 26 09:10:01 2026 max relations containing the same ideal: 98 Sun Apr 26 09:10:09 2026 removing 4432358 relations and 3432358 ideals in 1000000 cliques Sun Apr 26 09:10:10 2026 commencing in-memory singleton removal Sun Apr 26 09:10:10 2026 begin with 30904480 relations and 31929471 unique ideals Sun Apr 26 09:10:11 2026 reduce to 30481558 relations and 28063575 ideals in 9 passes Sun Apr 26 09:10:11 2026 max relations containing the same ideal: 88 Sun Apr 26 09:10:18 2026 removing 4278955 relations and 3278955 ideals in 1000000 cliques Sun Apr 26 09:10:19 2026 commencing in-memory singleton removal Sun Apr 26 09:10:19 2026 begin with 26202603 relations and 28063575 unique ideals Sun Apr 26 09:10:21 2026 reduce to 25755098 relations and 24324220 ideals in 9 passes Sun Apr 26 09:10:21 2026 max relations containing the same ideal: 78 Sun Apr 26 09:10:27 2026 removing 3276758 relations and 2546536 ideals in 730222 cliques Sun Apr 26 09:10:28 2026 commencing in-memory singleton removal Sun Apr 26 09:10:28 2026 begin with 22478340 relations and 24324220 unique ideals Sun Apr 26 09:10:29 2026 reduce to 22186004 relations and 21478270 ideals in 8 passes Sun Apr 26 09:10:29 2026 max relations containing the same ideal: 69 Sun Apr 26 09:10:34 2026 trying target density 80 Sun Apr 26 09:10:36 2026 relations with 0 large ideals: 2145 Sun Apr 26 09:10:36 2026 relations with 1 large ideals: 13456 Sun Apr 26 09:10:36 2026 relations with 2 large ideals: 182652 Sun Apr 26 09:10:36 2026 relations with 3 large ideals: 1059163 Sun Apr 26 09:10:36 2026 relations with 4 large ideals: 3233342 Sun Apr 26 09:10:36 2026 relations with 5 large ideals: 5685724 Sun Apr 26 09:10:36 2026 relations with 6 large ideals: 6076384 Sun Apr 26 09:10:36 2026 relations with 7+ large ideals: 5933138 Sun Apr 26 09:10:36 2026 commencing 2-way merge Sun Apr 26 09:10:43 2026 reduce to 13344224 relation sets and 12636490 unique ideals Sun Apr 26 09:10:43 2026 commencing full merge Sun Apr 26 09:12:38 2026 memory use: 1515.2 MB Sun Apr 26 09:12:39 2026 found 6899643 cycles, need 6798690 Sun Apr 26 09:12:40 2026 weight of 6798690 cycles is about 544311716 (80.06/cycle) Sun Apr 26 09:12:40 2026 distribution of cycle lengths: Sun Apr 26 09:12:40 2026 1 relations: 722276 Sun Apr 26 09:12:40 2026 2 relations: 725339 Sun Apr 26 09:12:40 2026 3 relations: 747345 Sun Apr 26 09:12:40 2026 4 relations: 710455 Sun Apr 26 09:12:40 2026 5 relations: 674384 Sun Apr 26 09:12:40 2026 6 relations: 611236 Sun Apr 26 09:12:40 2026 7 relations: 544025 Sun Apr 26 09:12:40 2026 8 relations: 473374 Sun Apr 26 09:12:40 2026 9 relations: 396313 Sun Apr 26 09:12:40 2026 10+ relations: 1193943 Sun Apr 26 09:12:40 2026 heaviest cycle: 20 relations Sun Apr 26 09:12:41 2026 commencing cycle optimization Sun Apr 26 09:12:48 2026 start with 39911209 relations Sun Apr 26 09:13:20 2026 pruned 1015508 relations Sun Apr 26 09:13:21 2026 memory use: 1310.0 MB Sun Apr 26 09:13:21 2026 distribution of cycle lengths: Sun Apr 26 09:13:21 2026 1 relations: 722276 Sun Apr 26 09:13:21 2026 2 relations: 741887 Sun Apr 26 09:13:21 2026 3 relations: 773717 Sun Apr 26 09:13:21 2026 4 relations: 729395 Sun Apr 26 09:13:21 2026 5 relations: 693903 Sun Apr 26 09:13:21 2026 6 relations: 623598 Sun Apr 26 09:13:21 2026 7 relations: 553498 Sun Apr 26 09:13:21 2026 8 relations: 476572 Sun Apr 26 09:13:21 2026 9 relations: 393897 Sun Apr 26 09:13:21 2026 10+ relations: 1089947 Sun Apr 26 09:13:21 2026 heaviest cycle: 20 relations Sun Apr 26 09:13:28 2026 trying target density 100 Sun Apr 26 09:13:29 2026 relations with 0 large ideals: 2145 Sun Apr 26 09:13:29 2026 relations with 1 large ideals: 13456 Sun Apr 26 09:13:29 2026 relations with 2 large ideals: 182652 Sun Apr 26 09:13:29 2026 relations with 3 large ideals: 1059163 Sun Apr 26 09:13:29 2026 relations with 4 large ideals: 3233342 Sun Apr 26 09:13:29 2026 relations with 5 large ideals: 5685724 Sun Apr 26 09:13:29 2026 relations with 6 large ideals: 6076384 Sun Apr 26 09:13:29 2026 relations with 7+ large ideals: 5933138 Sun Apr 26 09:13:29 2026 commencing 2-way merge Sun Apr 26 09:13:37 2026 reduce to 13344224 relation sets and 12636490 unique ideals Sun Apr 26 09:13:37 2026 commencing full merge Sun Apr 26 09:16:00 2026 memory use: 1562.4 MB Sun Apr 26 09:16:01 2026 found 6377883 cycles, need 6290690 Sun Apr 26 09:16:02 2026 weight of 6290690 cycles is about 629394082 (100.05/cycle) Sun Apr 26 09:16:02 2026 distribution of cycle lengths: Sun Apr 26 09:16:02 2026 1 relations: 459237 Sun Apr 26 09:16:02 2026 2 relations: 527114 Sun Apr 26 09:16:02 2026 3 relations: 560247 Sun Apr 26 09:16:02 2026 4 relations: 545378 Sun Apr 26 09:16:02 2026 5 relations: 534904 Sun Apr 26 09:16:02 2026 6 relations: 504531 Sun Apr 26 09:16:02 2026 7 relations: 477176 Sun Apr 26 09:16:02 2026 8 relations: 439391 Sun Apr 26 09:16:02 2026 9 relations: 395398 Sun Apr 26 09:16:02 2026 10+ relations: 1847314 Sun Apr 26 09:16:02 2026 heaviest cycle: 24 relations Sun Apr 26 09:16:03 2026 commencing cycle optimization Sun Apr 26 09:16:10 2026 start with 46042295 relations Sun Apr 26 09:17:00 2026 pruned 1525150 relations Sun Apr 26 09:17:00 2026 memory use: 1376.2 MB Sun Apr 26 09:17:00 2026 distribution of cycle lengths: Sun Apr 26 09:17:00 2026 1 relations: 459237 Sun Apr 26 09:17:00 2026 2 relations: 540040 Sun Apr 26 09:17:00 2026 3 relations: 581866 Sun Apr 26 09:17:00 2026 4 relations: 563613 Sun Apr 26 09:17:00 2026 5 relations: 555219 Sun Apr 26 09:17:00 2026 6 relations: 521225 Sun Apr 26 09:17:00 2026 7 relations: 492638 Sun Apr 26 09:17:00 2026 8 relations: 450470 Sun Apr 26 09:17:00 2026 9 relations: 403566 Sun Apr 26 09:17:00 2026 10+ relations: 1722816 Sun Apr 26 09:17:00 2026 heaviest cycle: 24 relations Sun Apr 26 09:17:07 2026 trying target density 120 Sun Apr 26 09:17:08 2026 relations with 0 large ideals: 2145 Sun Apr 26 09:17:08 2026 relations with 1 large ideals: 13456 Sun Apr 26 09:17:08 2026 relations with 2 large ideals: 182652 Sun Apr 26 09:17:08 2026 relations with 3 large ideals: 1059163 Sun Apr 26 09:17:08 2026 relations with 4 large ideals: 3233342 Sun Apr 26 09:17:08 2026 relations with 5 large ideals: 5685724 Sun Apr 26 09:17:08 2026 relations with 6 large ideals: 6076384 Sun Apr 26 09:17:08 2026 relations with 7+ large ideals: 5933138 Sun Apr 26 09:17:08 2026 commencing 2-way merge Sun Apr 26 09:17:16 2026 reduce to 13344224 relation sets and 12636490 unique ideals Sun Apr 26 09:17:16 2026 commencing full merge Sun Apr 26 09:20:09 2026 memory use: 1591.2 MB Sun Apr 26 09:20:09 2026 found 5977517 cycles, need 5932690 Sun Apr 26 09:20:10 2026 weight of 5932690 cycles is about 712086516 (120.03/cycle) Sun Apr 26 09:20:10 2026 distribution of cycle lengths: Sun Apr 26 09:20:10 2026 1 relations: 302300 Sun Apr 26 09:20:10 2026 2 relations: 399514 Sun Apr 26 09:20:10 2026 3 relations: 441057 Sun Apr 26 09:20:10 2026 4 relations: 439134 Sun Apr 26 09:20:10 2026 5 relations: 438897 Sun Apr 26 09:20:10 2026 6 relations: 422067 Sun Apr 26 09:20:10 2026 7 relations: 410165 Sun Apr 26 09:20:10 2026 8 relations: 385719 Sun Apr 26 09:20:10 2026 9 relations: 364271 Sun Apr 26 09:20:10 2026 10+ relations: 2329566 Sun Apr 26 09:20:10 2026 heaviest cycle: 28 relations Sun Apr 26 09:20:11 2026 commencing cycle optimization Sun Apr 26 09:20:18 2026 start with 51898495 relations Sun Apr 26 09:21:26 2026 pruned 2061950 relations Sun Apr 26 09:21:26 2026 memory use: 1436.9 MB Sun Apr 26 09:21:26 2026 distribution of cycle lengths: Sun Apr 26 09:21:26 2026 1 relations: 302300 Sun Apr 26 09:21:26 2026 2 relations: 409865 Sun Apr 26 09:21:26 2026 3 relations: 459029 Sun Apr 26 09:21:26 2026 4 relations: 455228 Sun Apr 26 09:21:26 2026 5 relations: 458019 Sun Apr 26 09:21:26 2026 6 relations: 439597 Sun Apr 26 09:21:26 2026 7 relations: 426975 Sun Apr 26 09:21:26 2026 8 relations: 400662 Sun Apr 26 09:21:26 2026 9 relations: 377050 Sun Apr 26 09:21:26 2026 10+ relations: 2203965 Sun Apr 26 09:21:26 2026 heaviest cycle: 28 relations Sun Apr 26 09:21:32 2026 RelProcTime: 1239 Sun Apr 26 09:21:33 2026 Sun Apr 26 09:21:33 2026 commencing linear algebra Sun Apr 26 09:21:33 2026 using VBITS=256 Sun Apr 26 09:21:33 2026 building matrices for all densities Sun Apr 26 09:21:33 2026 found 3 density files Sun Apr 26 09:21:33 2026 building matrix for density 80 Sun Apr 26 09:21:33 2026 read 6798690 cycles Sun Apr 26 09:21:38 2026 cycles contain 21627308 unique relations Sun Apr 26 09:21:50 2026 read 21627308 relations Sun Apr 26 09:21:54 2026 using 20 quadratic characters above 4294917295 Sun Apr 26 09:22:01 2026 building initial matrix Sun Apr 26 09:23:57 2026 memory use: 2940.2 MB Sun Apr 26 09:23:58 2026 read 6798690 cycles Sun Apr 26 09:23:59 2026 matrix is 6798511 x 6798690 (2283.8 MB) with weight 707738755 (104.10/col) Sun Apr 26 09:23:59 2026 sparse part has weight 523889179 (77.06/col) Sun Apr 26 09:24:26 2026 filtering completed in 2 passes Sun Apr 26 09:24:27 2026 matrix is 6795236 x 6795413 (2283.5 MB) with weight 707605879 (104.13/col) Sun Apr 26 09:24:27 2026 sparse part has weight 523844723 (77.09/col) Sun Apr 26 09:24:34 2026 building matrix for density 100 Sun Apr 26 09:24:35 2026 read 6290690 cycles Sun Apr 26 09:24:40 2026 cycles contain 21638517 unique relations Sun Apr 26 09:24:52 2026 read 21638517 relations Sun Apr 26 09:24:56 2026 using 20 quadratic characters above 4294917295 Sun Apr 26 09:25:03 2026 building initial matrix Sun Apr 26 09:29:06 2026 memory use: 2931.4 MB Sun Apr 26 09:29:08 2026 read 6290690 cycles Sun Apr 26 09:29:09 2026 matrix is 6290509 x 6290690 (2540.0 MB) with weight 778724960 (123.79/col) Sun Apr 26 09:29:09 2026 sparse part has weight 596659527 (94.85/col) Sun Apr 26 09:30:12 2026 filtering completed in 2 passes Sun Apr 26 09:30:13 2026 matrix is 6289011 x 6289190 (2539.9 MB) with weight 778649108 (123.81/col) Sun Apr 26 09:30:13 2026 sparse part has weight 596629054 (94.87/col) Sun Apr 26 09:30:28 2026 building matrix for density 120 Sun Apr 26 09:30:28 2026 read 5932690 cycles Sun Apr 26 09:30:39 2026 cycles contain 21640928 unique relations Sun Apr 26 09:31:19 2026 read 21640928 relations Sun Apr 26 09:31:27 2026 using 20 quadratic characters above 4294917295 Sun Apr 26 09:31:41 2026 building initial matrix Sun Apr 26 09:36:14 2026 memory use: 2941.0 MB Sun Apr 26 09:36:17 2026 read 5932690 cycles Sun Apr 26 09:36:18 2026 matrix is 5932512 x 5932690 (2789.3 MB) with weight 846966999 (142.76/col) Sun Apr 26 09:36:18 2026 sparse part has weight 665926485 (112.25/col) Sun Apr 26 09:37:17 2026 filtering completed in 2 passes Sun Apr 26 09:37:19 2026 matrix is 5932037 x 5932213 (2789.2 MB) with weight 846940559 (142.77/col) Sun Apr 26 09:37:19 2026 sparse part has weight 665915816 (112.25/col) Sun Apr 26 09:37:32 2026 BLanczosTime: 959 Sun Apr 26 09:37:32 2026 elapsed time 00:36:40 Sun Apr 26 09:41:35 2026 Sun Apr 26 09:41:35 2026 Sun Apr 26 09:41:35 2026 Msieve v. 1.54 (SVN unknown) Sun Apr 26 09:41:35 2026 random seeds: 5362ecd9 45a73625 Sun Apr 26 09:41:35 2026 Using 8 OpenMP threads Sun Apr 26 09:41:35 2026 factoring 13239847450421178242791253532328727923165671392741281217843954783118044275690025545019973500455536742032013565449119036350118244761403771025927734247608509542334943 (164 digits) Sun Apr 26 09:41:34 2026 no P-1/P+1/ECM available, skipping Sun Apr 26 09:41:34 2026 commencing number field sieve (164-digit input) Sun Apr 26 09:41:34 2026 R0: -116017658355676990625143088309406 Sun Apr 26 09:41:34 2026 R1: 303227196450812085059 Sun Apr 26 09:41:34 2026 A0: -74840133302797123307219305434993048050 Sun Apr 26 09:41:34 2026 A1: 446031123741153369263462618040385 Sun Apr 26 09:41:34 2026 A2: 205646278367948398470885206 Sun Apr 26 09:41:34 2026 A3: -3283264732033646533 Sun Apr 26 09:41:34 2026 A4: -346501686168 Sun Apr 26 09:41:34 2026 A5: 5040 Sun Apr 26 09:41:34 2026 skew 1.00, size 9.147e-16, alpha -6.923, combined = 6.455e-15 rroots = 5 Sun Apr 26 09:41:34 2026 Sun Apr 26 09:41:34 2026 commencing linear algebra Sun Apr 26 09:41:34 2026 using VBITS=256 Sun Apr 26 09:41:34 2026 selecting density 120 for linear algebra Sun Apr 26 09:41:36 2026 matrix starts at (0, 0) Sun Apr 26 09:41:36 2026 matrix is 5932037 x 5932213 (2789.2 MB) with weight 846940559 (142.77/col) Sun Apr 26 09:41:36 2026 sparse part has weight 665915816 (112.25/col) Sun Apr 26 09:41:36 2026 saving the first 240 matrix rows for later Sun Apr 26 09:41:38 2026 matrix includes 256 packed rows Sun Apr 26 09:41:39 2026 matrix is 5931797 x 5932213 (2516.5 MB) with weight 604178202 (101.85/col) Sun Apr 26 09:41:39 2026 sparse part has weight 564765006 (95.20/col) Sun Apr 26 09:41:39 2026 using GPU 0 (NVIDIA GeForce RTX 5070) Sun Apr 26 09:41:39 2026 selected card has CUDA arch 12.0 Sun Apr 26 09:42:47 2026 commencing Lanczos iteration Sun Apr 26 09:42:48 2026 memory use: 5802.4 MB Sun Apr 26 09:43:06 2026 linear algebra at 0.5%, ETA 0h57m Sun Apr 26 09:43:31 2026 checking every 100000 dimensions, checkpointing every 6500000 dimensions Sun Apr 26 10:37:01 2026 lanczos halted after 23242 iterations (dim = 5931796) Sun Apr 26 10:37:35 2026 recovered 30 nontrivial dependencies Sun Apr 26 10:37:36 2026 BLanczosTime: 3362 Sun Apr 26 10:37:36 2026 Sun Apr 26 10:37:36 2026 commencing square root phase Sun Apr 26 10:37:36 2026 handling dependencies 1 to 64 Sun Apr 26 10:37:36 2026 reading relations for dependency 1 Sun Apr 26 10:37:51 2026 read 2966086 cycles Sun Apr 26 10:37:58 2026 cycles contain 10817722 unique relations Sun Apr 26 10:39:55 2026 read 10817722 relations Sun Apr 26 10:40:39 2026 multiplying 10817722 relations Sun Apr 26 10:42:04 2026 multiply complete, coefficients have about 536.80 million bits Sun Apr 26 10:42:06 2026 initial square root is modulo 65579 Sun Apr 26 10:45:04 2026 GCD is N, no factor found Sun Apr 26 10:45:04 2026 reading relations for dependency 2 Sun Apr 26 10:45:05 2026 read 2967013 cycles Sun Apr 26 10:45:11 2026 cycles contain 10823818 unique relations Sun Apr 26 10:45:33 2026 read 10823818 relations Sun Apr 26 10:46:18 2026 multiplying 10823818 relations Sun Apr 26 10:47:36 2026 multiply complete, coefficients have about 537.11 million bits Sun Apr 26 10:47:38 2026 initial square root is modulo 65957 Sun Apr 26 10:50:39 2026 sqrtTime: 783 Sun Apr 26 10:50:39 2026 p59 factor: 29424034448935411804100474312936215397655237322085876161603 Sun Apr 26 10:50:39 2026 p105 factor: 449967099970555122360626801398668971361538209665950580715882811966849289422035760810544724814457984841781 Sun Apr 26 10:50:39 2026 elapsed time 01:09:04