Sun Apr 5 12:54:40 2026 Sun Apr 5 12:54:40 2026 Sun Apr 5 12:54:40 2026 Msieve v. 1.54 (SVN Unversioned directory) Sun Apr 5 12:54:40 2026 random seeds: 8bd02991 825a28fa Sun Apr 5 12:54:40 2026 MPI process 0 of 1 Sun Apr 5 12:54:40 2026 Using 32 OpenMP threads Sun Apr 5 12:54:40 2026 factoring 5770927643726669236275389943609194370342378731467266061082321024262938866259791122326359561196889114129788669210851083097439420875411724858713781454197555843443 (160 digits) Sun Apr 5 12:54:41 2026 searching for 15-digit factors Sun Apr 5 12:54:42 2026 commencing number field sieve (160-digit input) Sun Apr 5 12:54:42 2026 R0: -8043464743724850882728881998700 Sun Apr 5 12:54:42 2026 R1: 7233568096418712156001 Sun Apr 5 12:54:42 2026 A0: 81031680551074558816441708610788188429 Sun Apr 5 12:54:42 2026 A1: -199816510236183807981163827006463 Sun Apr 5 12:54:42 2026 A2: -22263178497933179794994112 Sun Apr 5 12:54:42 2026 A3: 6620001754794114262 Sun Apr 5 12:54:42 2026 A4: 2954662212474 Sun Apr 5 12:54:42 2026 A5: 511560 Sun Apr 5 12:54:42 2026 skew 4174246.41, size 1.878e-15, alpha -8.032, combined = 1.688e-12 rroots = 3 Sun Apr 5 12:54:42 2026 Sun Apr 5 12:54:42 2026 commencing relation filtering Sun Apr 5 12:54:42 2026 setting target matrix density to 120.0 Sun Apr 5 12:54:42 2026 estimated available RAM is 257736.5 MB Sun Apr 5 12:54:42 2026 commencing duplicate removal, pass 1 Sun Apr 5 12:55:59 2026 error -1 reading relation 32582693 Sun Apr 5 12:59:37 2026 error -1 reading relation 103496072 Sun Apr 5 12:59:55 2026 error -1 reading relation 109317765 Sun Apr 5 12:59:55 2026 error -1 reading relation 109536697 Sun Apr 5 13:00:16 2026 skipped 60 malformed relations Sun Apr 5 13:00:16 2026 found 17960580 hash collisions in 116356835 relations Sun Apr 5 13:00:51 2026 added 122274 free relations Sun Apr 5 13:00:51 2026 commencing duplicate removal, pass 2 Sun Apr 5 13:04:34 2026 found 15604813 duplicates and 100874296 unique relations Sun Apr 5 13:04:34 2026 memory use: 660.8 MB Sun Apr 5 13:04:34 2026 reading ideals above 720000 Sun Apr 5 13:04:34 2026 commencing singleton removal, initial pass Sun Apr 5 13:14:21 2026 memory use: 2756.0 MB Sun Apr 5 13:14:21 2026 reading all ideals from disk Sun Apr 5 13:14:24 2026 memory use: 4510.8 MB Sun Apr 5 13:14:47 2026 keeping 89803631 ideals with weight <= 200, target excess is 519161 Sun Apr 5 13:15:13 2026 commencing in-memory singleton removal Sun Apr 5 13:15:15 2026 begin with 100874296 relations and 89803631 unique ideals Sun Apr 5 13:15:24 2026 reduce to 66121706 relations and 51553325 ideals in 13 passes Sun Apr 5 13:15:24 2026 max relations containing the same ideal: 161 Sun Apr 5 13:16:09 2026 removing 8596327 relations and 6596327 ideals in 2000000 cliques Sun Apr 5 13:16:14 2026 commencing in-memory singleton removal Sun Apr 5 13:16:16 2026 begin with 57525379 relations and 51553325 unique ideals Sun Apr 5 13:16:19 2026 reduce to 56663321 relations and 44063258 ideals in 9 passes Sun Apr 5 13:16:19 2026 max relations containing the same ideal: 144 Sun Apr 5 13:16:58 2026 removing 6782080 relations and 4782080 ideals in 2000000 cliques Sun Apr 5 13:17:03 2026 commencing in-memory singleton removal Sun Apr 5 13:17:04 2026 begin with 49881241 relations and 44063258 unique ideals Sun Apr 5 13:17:07 2026 reduce to 49272420 relations and 38651227 ideals in 7 passes Sun Apr 5 13:17:07 2026 max relations containing the same ideal: 133 Sun Apr 5 13:17:39 2026 removing 6294607 relations and 4294607 ideals in 2000000 cliques Sun Apr 5 13:17:43 2026 commencing in-memory singleton removal Sun Apr 5 13:17:43 2026 begin with 42977813 relations and 38651227 unique ideals Sun Apr 5 13:17:46 2026 reduce to 42415062 relations and 33772806 ideals in 7 passes Sun Apr 5 13:17:46 2026 max relations containing the same ideal: 120 Sun Apr 5 13:18:15 2026 removing 6056560 relations and 4056560 ideals in 2000000 cliques Sun Apr 5 13:18:19 2026 commencing in-memory singleton removal Sun Apr 5 13:18:19 2026 begin with 36358502 relations and 33772806 unique ideals Sun Apr 5 13:18:22 2026 reduce to 35786150 relations and 29120093 ideals in 8 passes Sun Apr 5 13:18:22 2026 max relations containing the same ideal: 108 Sun Apr 5 13:18:49 2026 removing 5914438 relations and 3914438 ideals in 2000000 cliques Sun Apr 5 13:18:52 2026 commencing in-memory singleton removal Sun Apr 5 13:18:53 2026 begin with 29871712 relations and 29120093 unique ideals Sun Apr 5 13:18:55 2026 reduce to 29256897 relations and 24560836 ideals in 8 passes Sun Apr 5 13:18:55 2026 max relations containing the same ideal: 95 Sun Apr 5 13:19:16 2026 removing 5826277 relations and 3826277 ideals in 2000000 cliques Sun Apr 5 13:19:19 2026 commencing in-memory singleton removal Sun Apr 5 13:19:19 2026 begin with 23430620 relations and 24560836 unique ideals Sun Apr 5 13:19:20 2026 reduce to 22734334 relations and 19997177 ideals in 7 passes Sun Apr 5 13:19:20 2026 max relations containing the same ideal: 78 Sun Apr 5 13:19:37 2026 removing 5750324 relations and 3750324 ideals in 2000000 cliques Sun Apr 5 13:19:40 2026 commencing in-memory singleton removal Sun Apr 5 13:19:40 2026 begin with 16984010 relations and 19997177 unique ideals Sun Apr 5 13:19:41 2026 reduce to 16138149 relations and 15336224 ideals in 9 passes Sun Apr 5 13:19:41 2026 max relations containing the same ideal: 61 Sun Apr 5 13:19:53 2026 removing 906544 relations and 706846 ideals in 199698 cliques Sun Apr 5 13:19:54 2026 commencing in-memory singleton removal Sun Apr 5 13:19:55 2026 begin with 15231605 relations and 15336224 unique ideals Sun Apr 5 13:19:55 2026 reduce to 15195078 relations and 14592434 ideals in 7 passes Sun Apr 5 13:19:55 2026 max relations containing the same ideal: 59 Sun Apr 5 13:20:10 2026 relations with 0 large ideals: 1645 Sun Apr 5 13:20:10 2026 relations with 1 large ideals: 11025 Sun Apr 5 13:20:10 2026 relations with 2 large ideals: 145062 Sun Apr 5 13:20:10 2026 relations with 3 large ideals: 806488 Sun Apr 5 13:20:10 2026 relations with 4 large ideals: 2338531 Sun Apr 5 13:20:10 2026 relations with 5 large ideals: 3939976 Sun Apr 5 13:20:10 2026 relations with 6 large ideals: 4075850 Sun Apr 5 13:20:10 2026 relations with 7+ large ideals: 3876501 Sun Apr 5 13:20:10 2026 commencing 2-way merge Sun Apr 5 13:20:25 2026 reduce to 10011675 relation sets and 9409031 unique ideals Sun Apr 5 13:20:25 2026 commencing full merge Sun Apr 5 13:27:17 2026 memory use: 1234.0 MB Sun Apr 5 13:27:19 2026 found 4577451 cycles, need 4523231 Sun Apr 5 13:27:21 2026 weight of 4523231 cycles is about 543525372 (120.16/cycle) Sun Apr 5 13:27:21 2026 distribution of cycle lengths: Sun Apr 5 13:27:21 2026 1 relations: 105900 Sun Apr 5 13:27:21 2026 2 relations: 242421 Sun Apr 5 13:27:21 2026 3 relations: 313476 Sun Apr 5 13:27:21 2026 4 relations: 336152 Sun Apr 5 13:27:21 2026 5 relations: 356599 Sun Apr 5 13:27:21 2026 6 relations: 359011 Sun Apr 5 13:27:21 2026 7 relations: 350906 Sun Apr 5 13:27:21 2026 8 relations: 335949 Sun Apr 5 13:27:21 2026 9 relations: 313689 Sun Apr 5 13:27:21 2026 10+ relations: 1809128 Sun Apr 5 13:27:21 2026 heaviest cycle: 27 relations Sun Apr 5 13:27:24 2026 commencing cycle optimization Sun Apr 5 13:27:41 2026 start with 40174647 relations Sun Apr 5 13:30:24 2026 pruned 1987584 relations Sun Apr 5 13:30:24 2026 memory use: 1044.4 MB Sun Apr 5 13:30:25 2026 distribution of cycle lengths: Sun Apr 5 13:30:25 2026 1 relations: 105900 Sun Apr 5 13:30:25 2026 2 relations: 249910 Sun Apr 5 13:30:25 2026 3 relations: 329128 Sun Apr 5 13:30:25 2026 4 relations: 352991 Sun Apr 5 13:30:25 2026 5 relations: 377928 Sun Apr 5 13:30:25 2026 6 relations: 378626 Sun Apr 5 13:30:25 2026 7 relations: 372612 Sun Apr 5 13:30:25 2026 8 relations: 353745 Sun Apr 5 13:30:25 2026 9 relations: 329231 Sun Apr 5 13:30:25 2026 10+ relations: 1673160 Sun Apr 5 13:30:25 2026 heaviest cycle: 27 relations Sun Apr 5 13:30:37 2026 RelProcTime: 2155 Sun Apr 5 13:30:37 2026 Sun Apr 5 13:30:37 2026 commencing linear algebra Sun Apr 5 13:30:37 2026 using VBITS=256 Sun Apr 5 13:30:37 2026 stopping after matrix build Sun Apr 5 13:30:37 2026 initialized process (0,0) of 1 x 1 grid Sun Apr 5 13:30:38 2026 read 4523231 cycles Sun Apr 5 13:30:53 2026 cycles contain 14898116 unique relations Sun Apr 5 13:33:25 2026 read 14898116 relations Sun Apr 5 13:33:27 2026 using 20 quadratic characters above 4294917295 Sun Apr 5 13:33:30 2026 building initial matrix Sun Apr 5 13:36:49 2026 memory use: 2075.6 MB Sun Apr 5 13:36:52 2026 read 4523231 cycles Sun Apr 5 13:36:52 2026 matrix is 4523053 x 4523231 (2123.7 MB) with weight 666554565 (147.36/col) Sun Apr 5 13:36:52 2026 sparse part has weight 502434778 (111.08/col) Sun Apr 5 13:37:35 2026 filtering completed in 2 passes Sun Apr 5 13:37:35 2026 matrix is 4522920 x 4523098 (2123.7 MB) with weight 666546962 (147.37/col) Sun Apr 5 13:37:35 2026 sparse part has weight 502432202 (111.08/col) Sun Apr 5 13:37:58 2026 BLanczosTime: 441 Sun Apr 5 13:37:58 2026 elapsed time 00:43:18 Sun Apr 5 13:38:22 2026 Sun Apr 5 13:38:22 2026 Sun Apr 5 13:38:22 2026 Msieve v. 1.54 (SVN Unversioned directory) Sun Apr 5 13:38:22 2026 random seeds: 5ac25ef8 ba808ebc Sun Apr 5 13:38:22 2026 MPI process 0 of 1 Sun Apr 5 13:38:22 2026 Using 64 OpenMP threads Sun Apr 5 13:38:22 2026 factoring 5770927643726669236275389943609194370342378731467266061082321024262938866259791122326359561196889114129788669210851083097439420875411724858713781454197555843443 (160 digits) Sun Apr 5 13:38:23 2026 searching for 15-digit factors Sun Apr 5 13:38:23 2026 commencing number field sieve (160-digit input) Sun Apr 5 13:38:23 2026 R0: -8043464743724850882728881998700 Sun Apr 5 13:38:23 2026 R1: 7233568096418712156001 Sun Apr 5 13:38:23 2026 A0: 81031680551074558816441708610788188429 Sun Apr 5 13:38:23 2026 A1: -199816510236183807981163827006463 Sun Apr 5 13:38:23 2026 A2: -22263178497933179794994112 Sun Apr 5 13:38:23 2026 A3: 6620001754794114262 Sun Apr 5 13:38:23 2026 A4: 2954662212474 Sun Apr 5 13:38:23 2026 A5: 511560 Sun Apr 5 13:38:23 2026 skew 4174246.41, size 1.878e-15, alpha -8.032, combined = 1.688e-12 rroots = 3 Sun Apr 5 13:38:23 2026 Sun Apr 5 13:38:23 2026 commencing linear algebra Sun Apr 5 13:38:23 2026 using VBITS=256 Sun Apr 5 13:38:23 2026 skipping matrix build Sun Apr 5 13:38:23 2026 initialized process (0,0) of 1 x 1 grid Sun Apr 5 13:38:25 2026 matrix starts at (0, 0) Sun Apr 5 13:38:26 2026 matrix is 4522920 x 4523098 (2123.7 MB) with weight 666546962 (147.37/col) Sun Apr 5 13:38:26 2026 sparse part has weight 502432202 (111.08/col) Sun Apr 5 13:38:26 2026 saving the first 240 matrix rows for later Sun Apr 5 13:38:26 2026 matrix includes 256 packed rows Sun Apr 5 13:38:28 2026 matrix is 4522680 x 4523098 (1920.4 MB) with weight 461283129 (101.98/col) Sun Apr 5 13:38:28 2026 sparse part has weight 431061935 (95.30/col) Sun Apr 5 13:38:28 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Sun Apr 5 13:38:37 2026 commencing Lanczos iteration (64 threads) Sun Apr 5 13:38:37 2026 memory use: 2767.1 MB Sun Apr 5 13:39:12 2026 linear algebra at 0.7%, ETA 1h23m Sun Apr 5 13:40:01 2026 checking every 50000 dimensions, checkpointing every 3350000 dimensions Sun Apr 5 15:00:10 2026 lanczos halted after 17721 iterations (dim = 4522680) Sun Apr 5 15:00:24 2026 recovered 30 nontrivial dependencies Sun Apr 5 15:00:24 2026 BLanczosTime: 4921 Sun Apr 5 15:00:24 2026 Sun Apr 5 15:00:24 2026 commencing square root phase Sun Apr 5 15:00:24 2026 handling dependencies 1 to 64 Sun Apr 5 15:00:24 2026 reading relations for dependency 1 Sun Apr 5 15:00:24 2026 read 2261509 cycles Sun Apr 5 15:00:27 2026 cycles contain 7448266 unique relations Sun Apr 5 15:02:34 2026 read 7448266 relations Sun Apr 5 15:03:34 2026 multiplying 7448266 relations Sun Apr 5 15:05:08 2026 multiply complete, coefficients have about 407.44 million bits Sun Apr 5 15:05:10 2026 initial square root is modulo 20458741 Sun Apr 5 15:09:47 2026 sqrtTime: 563 Sun Apr 5 15:09:47 2026 p71 factor: 58510960296112055586224178385049478841634682217229883277690374559991221 Sun Apr 5 15:09:47 2026 p89 factor: 98629856945112155980400943325640043265224593812449945115758105342609644635335974068450183 Sun Apr 5 15:09:47 2026 elapsed time 01:31:25