Sun Oct 5 09:36:01 2025 Sun Oct 5 09:36:01 2025 Sun Oct 5 09:36:01 2025 Msieve v. 1.54 (SVN Unversioned directory) Sun Oct 5 09:36:01 2025 random seeds: da4a360d 3fa22191 Sun Oct 5 09:36:01 2025 MPI process 0 of 1 Sun Oct 5 09:36:01 2025 Using 32 OpenMP threads Sun Oct 5 09:36:01 2025 factoring 5061740790628675188872416198685936115329768762477675611560668592178824000944472309736958858643607996762466831931040859394801419871235746232685266213816545523591 (160 digits) Sun Oct 5 09:36:02 2025 searching for 15-digit factors Sun Oct 5 09:36:03 2025 commencing number field sieve (160-digit input) Sun Oct 5 09:36:03 2025 R0: 5874608429648634883190612961116 Sun Oct 5 09:36:03 2025 R1: 2260888345054567257573073 Sun Oct 5 09:36:03 2025 A0: 3142899059049182812567574259695759607 Sun Oct 5 09:36:03 2025 A1: 12563283460285807602868128317844 Sun Oct 5 09:36:03 2025 A2: -312673430469685258769531 Sun Oct 5 09:36:03 2025 A3: -6564712739324145168 Sun Oct 5 09:36:03 2025 A4: 125377630248 Sun Oct 5 09:36:03 2025 A5: 30240 Sun Oct 5 09:36:03 2025 skew 2368757.08, size 2.320e-15, alpha -6.375, combined = 1.929e-12 rroots = 5 Sun Oct 5 09:36:03 2025 Sun Oct 5 09:36:03 2025 commencing relation filtering Sun Oct 5 09:36:03 2025 setting target matrix density to 130.0 Sun Oct 5 09:36:03 2025 estimated available RAM is 257736.5 MB Sun Oct 5 09:36:03 2025 commencing duplicate removal, pass 1 Sun Oct 5 09:37:07 2025 error -1 reading relation 26634013 Sun Oct 5 09:38:39 2025 error -1 reading relation 66482867 Sun Oct 5 09:39:01 2025 error -1 reading relation 76079976 Sun Oct 5 09:39:06 2025 error -1 reading relation 77791698 Sun Oct 5 09:40:06 2025 error -1 reading relation 103731592 Sun Oct 5 09:40:19 2025 error -15 reading relation 108853570 Sun Oct 5 09:40:49 2025 error -1 reading relation 121452008 Sun Oct 5 09:41:05 2025 skipped 59 malformed relations Sun Oct 5 09:41:05 2025 found 20673308 hash collisions in 128189534 relations Sun Oct 5 09:41:43 2025 added 121800 free relations Sun Oct 5 09:41:43 2025 commencing duplicate removal, pass 2 Sun Oct 5 09:45:50 2025 found 17941408 duplicates and 110369926 unique relations Sun Oct 5 09:45:50 2025 memory use: 660.8 MB Sun Oct 5 09:45:50 2025 reading ideals above 720000 Sun Oct 5 09:45:51 2025 commencing singleton removal, initial pass Sun Oct 5 09:57:10 2025 memory use: 2756.0 MB Sun Oct 5 09:57:11 2025 reading all ideals from disk Sun Oct 5 09:57:14 2025 memory use: 4941.8 MB Sun Oct 5 09:57:35 2025 keeping 92093333 ideals with weight <= 200, target excess is 571779 Sun Oct 5 09:58:01 2025 commencing in-memory singleton removal Sun Oct 5 09:58:03 2025 begin with 110369926 relations and 92093333 unique ideals Sun Oct 5 09:58:12 2025 reduce to 78652470 relations and 57652046 ideals in 12 passes Sun Oct 5 09:58:12 2025 max relations containing the same ideal: 170 Sun Oct 5 09:59:01 2025 removing 7969111 relations and 5969111 ideals in 2000000 cliques Sun Oct 5 09:59:06 2025 commencing in-memory singleton removal Sun Oct 5 09:59:08 2025 begin with 70683359 relations and 57652046 unique ideals Sun Oct 5 09:59:12 2025 reduce to 70048496 relations and 51028019 ideals in 8 passes Sun Oct 5 09:59:12 2025 max relations containing the same ideal: 157 Sun Oct 5 10:00:10 2025 removing 6326019 relations and 4326019 ideals in 2000000 cliques Sun Oct 5 10:00:16 2025 commencing in-memory singleton removal Sun Oct 5 10:00:17 2025 begin with 63722477 relations and 51028019 unique ideals Sun Oct 5 10:00:20 2025 reduce to 63288351 relations and 46255497 ideals in 7 passes Sun Oct 5 10:00:20 2025 max relations containing the same ideal: 149 Sun Oct 5 10:01:08 2025 removing 5894948 relations and 3894948 ideals in 2000000 cliques Sun Oct 5 10:01:13 2025 commencing in-memory singleton removal Sun Oct 5 10:01:14 2025 begin with 57393403 relations and 46255497 unique ideals Sun Oct 5 10:01:17 2025 reduce to 57010567 relations and 41966511 ideals in 7 passes Sun Oct 5 10:01:17 2025 max relations containing the same ideal: 140 Sun Oct 5 10:01:58 2025 removing 5670084 relations and 3670084 ideals in 2000000 cliques Sun Oct 5 10:02:03 2025 commencing in-memory singleton removal Sun Oct 5 10:02:04 2025 begin with 51340483 relations and 41966511 unique ideals Sun Oct 5 10:02:06 2025 reduce to 50974723 relations and 37919416 ideals in 6 passes Sun Oct 5 10:02:06 2025 max relations containing the same ideal: 127 Sun Oct 5 10:02:42 2025 removing 5533845 relations and 3533845 ideals in 2000000 cliques Sun Oct 5 10:02:46 2025 commencing in-memory singleton removal Sun Oct 5 10:02:47 2025 begin with 45440878 relations and 37919416 unique ideals Sun Oct 5 10:02:50 2025 reduce to 45072557 relations and 34004780 ideals in 7 passes Sun Oct 5 10:02:50 2025 max relations containing the same ideal: 120 Sun Oct 5 10:03:24 2025 removing 5441751 relations and 3441751 ideals in 2000000 cliques Sun Oct 5 10:03:28 2025 commencing in-memory singleton removal Sun Oct 5 10:03:29 2025 begin with 39630806 relations and 34004780 unique ideals Sun Oct 5 10:03:31 2025 reduce to 39246433 relations and 30164078 ideals in 7 passes Sun Oct 5 10:03:31 2025 max relations containing the same ideal: 110 Sun Oct 5 10:03:57 2025 removing 5380045 relations and 3380045 ideals in 2000000 cliques Sun Oct 5 10:04:00 2025 commencing in-memory singleton removal Sun Oct 5 10:04:01 2025 begin with 33866388 relations and 30164078 unique ideals Sun Oct 5 10:04:02 2025 reduce to 33451432 relations and 26351450 ideals in 7 passes Sun Oct 5 10:04:02 2025 max relations containing the same ideal: 98 Sun Oct 5 10:04:27 2025 removing 5338902 relations and 3338902 ideals in 2000000 cliques Sun Oct 5 10:04:30 2025 commencing in-memory singleton removal Sun Oct 5 10:04:30 2025 begin with 28112530 relations and 26351450 unique ideals Sun Oct 5 10:04:32 2025 reduce to 27650379 relations and 22527463 ideals in 7 passes Sun Oct 5 10:04:32 2025 max relations containing the same ideal: 85 Sun Oct 5 10:04:51 2025 removing 5310925 relations and 3310925 ideals in 2000000 cliques Sun Oct 5 10:04:54 2025 commencing in-memory singleton removal Sun Oct 5 10:04:54 2025 begin with 22339454 relations and 22527463 unique ideals Sun Oct 5 10:04:55 2025 reduce to 21802143 relations and 18647557 ideals in 6 passes Sun Oct 5 10:04:55 2025 max relations containing the same ideal: 73 Sun Oct 5 10:05:10 2025 removing 5286835 relations and 3286835 ideals in 2000000 cliques Sun Oct 5 10:05:13 2025 commencing in-memory singleton removal Sun Oct 5 10:05:13 2025 begin with 16515308 relations and 18647557 unique ideals Sun Oct 5 10:05:14 2025 reduce to 15852209 relations and 14648105 ideals in 8 passes Sun Oct 5 10:05:14 2025 max relations containing the same ideal: 58 Sun Oct 5 10:05:25 2025 removing 1773336 relations and 1232496 ideals in 540840 cliques Sun Oct 5 10:05:27 2025 commencing in-memory singleton removal Sun Oct 5 10:05:27 2025 begin with 14078873 relations and 14648105 unique ideals Sun Oct 5 10:05:27 2025 reduce to 13917242 relations and 13248755 ideals in 7 passes Sun Oct 5 10:05:27 2025 max relations containing the same ideal: 54 Sun Oct 5 10:05:40 2025 relations with 0 large ideals: 1831 Sun Oct 5 10:05:40 2025 relations with 1 large ideals: 15131 Sun Oct 5 10:05:40 2025 relations with 2 large ideals: 187302 Sun Oct 5 10:05:40 2025 relations with 3 large ideals: 953703 Sun Oct 5 10:05:40 2025 relations with 4 large ideals: 2506119 Sun Oct 5 10:05:40 2025 relations with 5 large ideals: 3799955 Sun Oct 5 10:05:40 2025 relations with 6 large ideals: 3538995 Sun Oct 5 10:05:40 2025 relations with 7+ large ideals: 2914206 Sun Oct 5 10:05:40 2025 commencing 2-way merge Sun Oct 5 10:05:54 2025 reduce to 9471692 relation sets and 8803205 unique ideals Sun Oct 5 10:05:54 2025 commencing full merge Sun Oct 5 10:12:51 2025 memory use: 1142.7 MB Sun Oct 5 10:12:52 2025 found 4223984 cycles, need 4171405 Sun Oct 5 10:12:55 2025 weight of 4171405 cycles is about 542729634 (130.11/cycle) Sun Oct 5 10:12:55 2025 distribution of cycle lengths: Sun Oct 5 10:12:55 2025 1 relations: 62942 Sun Oct 5 10:12:55 2025 2 relations: 183500 Sun Oct 5 10:12:55 2025 3 relations: 251289 Sun Oct 5 10:12:55 2025 4 relations: 282841 Sun Oct 5 10:12:55 2025 5 relations: 308689 Sun Oct 5 10:12:55 2025 6 relations: 317890 Sun Oct 5 10:12:55 2025 7 relations: 321424 Sun Oct 5 10:12:55 2025 8 relations: 311418 Sun Oct 5 10:12:55 2025 9 relations: 297397 Sun Oct 5 10:12:55 2025 10+ relations: 1834015 Sun Oct 5 10:12:55 2025 heaviest cycle: 28 relations Sun Oct 5 10:12:57 2025 commencing cycle optimization Sun Oct 5 10:13:15 2025 start with 39358826 relations Sun Oct 5 10:16:14 2025 pruned 2225314 relations Sun Oct 5 10:16:14 2025 memory use: 980.6 MB Sun Oct 5 10:16:14 2025 distribution of cycle lengths: Sun Oct 5 10:16:14 2025 1 relations: 62942 Sun Oct 5 10:16:14 2025 2 relations: 189559 Sun Oct 5 10:16:14 2025 3 relations: 264338 Sun Oct 5 10:16:14 2025 4 relations: 298433 Sun Oct 5 10:16:14 2025 5 relations: 329896 Sun Oct 5 10:16:14 2025 6 relations: 339561 Sun Oct 5 10:16:14 2025 7 relations: 345033 Sun Oct 5 10:16:14 2025 8 relations: 333228 Sun Oct 5 10:16:14 2025 9 relations: 316792 Sun Oct 5 10:16:14 2025 10+ relations: 1691623 Sun Oct 5 10:16:14 2025 heaviest cycle: 27 relations Sun Oct 5 10:16:27 2025 RelProcTime: 2424 Sun Oct 5 10:16:27 2025 Sun Oct 5 10:16:27 2025 commencing linear algebra Sun Oct 5 10:16:27 2025 using VBITS=256 Sun Oct 5 10:16:27 2025 stopping after matrix build Sun Oct 5 10:16:27 2025 initialized process (0,0) of 1 x 1 grid Sun Oct 5 10:16:28 2025 read 4171405 cycles Sun Oct 5 10:16:42 2025 cycles contain 13595063 unique relations Sun Oct 5 10:19:30 2025 read 13595063 relations Sun Oct 5 10:19:31 2025 using 20 quadratic characters above 4294917295 Sun Oct 5 10:19:34 2025 building initial matrix Sun Oct 5 10:25:03 2025 memory use: 1831.8 MB Sun Oct 5 10:25:08 2025 read 4171405 cycles Sun Oct 5 10:25:09 2025 matrix is 4171228 x 4171405 (2080.3 MB) with weight 629039329 (150.80/col) Sun Oct 5 10:25:09 2025 sparse part has weight 495287529 (118.73/col) Sun Oct 5 10:26:39 2025 filtering completed in 2 passes Sun Oct 5 10:26:41 2025 matrix is 4171122 x 4171299 (2080.3 MB) with weight 629033210 (150.80/col) Sun Oct 5 10:26:41 2025 sparse part has weight 495284976 (118.74/col) Sun Oct 5 10:27:12 2025 BLanczosTime: 645 Sun Oct 5 10:27:12 2025 elapsed time 00:51:11 Sun Oct 5 12:36:00 2025 Sun Oct 5 12:36:00 2025 Sun Oct 5 12:36:00 2025 Msieve v. 1.54 (SVN Unversioned directory) Sun Oct 5 12:36:00 2025 random seeds: db104113 fafcabf8 Sun Oct 5 12:36:00 2025 MPI process 0 of 1 Sun Oct 5 12:36:00 2025 Using 64 OpenMP threads Sun Oct 5 12:36:00 2025 factoring 5061740790628675188872416198685936115329768762477675611560668592178824000944472309736958858643607996762466831931040859394801419871235746232685266213816545523591 (160 digits) Sun Oct 5 12:36:01 2025 searching for 15-digit factors Sun Oct 5 12:36:01 2025 commencing number field sieve (160-digit input) Sun Oct 5 12:36:01 2025 R0: 5874608429648634883190612961116 Sun Oct 5 12:36:01 2025 R1: 2260888345054567257573073 Sun Oct 5 12:36:01 2025 A0: 3142899059049182812567574259695759607 Sun Oct 5 12:36:01 2025 A1: 12563283460285807602868128317844 Sun Oct 5 12:36:01 2025 A2: -312673430469685258769531 Sun Oct 5 12:36:01 2025 A3: -6564712739324145168 Sun Oct 5 12:36:01 2025 A4: 125377630248 Sun Oct 5 12:36:01 2025 A5: 30240 Sun Oct 5 12:36:01 2025 skew 2368757.08, size 2.320e-15, alpha -6.375, combined = 1.929e-12 rroots = 5 Sun Oct 5 12:36:01 2025 Sun Oct 5 12:36:01 2025 commencing linear algebra Sun Oct 5 12:36:01 2025 using VBITS=256 Sun Oct 5 12:36:01 2025 skipping matrix build Sun Oct 5 12:36:01 2025 initialized process (0,0) of 1 x 1 grid Sun Oct 5 12:36:04 2025 matrix starts at (0, 0) Sun Oct 5 12:36:05 2025 matrix is 4171122 x 4171299 (2080.3 MB) with weight 629033210 (150.80/col) Sun Oct 5 12:36:05 2025 sparse part has weight 495284976 (118.74/col) Sun Oct 5 12:36:05 2025 saving the first 240 matrix rows for later Sun Oct 5 12:36:06 2025 matrix includes 256 packed rows Sun Oct 5 12:36:07 2025 matrix is 4170882 x 4171299 (1853.8 MB) with weight 449948004 (107.87/col) Sun Oct 5 12:36:07 2025 sparse part has weight 419228424 (100.50/col) Sun Oct 5 12:36:07 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Sun Oct 5 12:36:16 2025 commencing Lanczos iteration (64 threads) Sun Oct 5 12:36:16 2025 memory use: 2627.5 MB Sun Oct 5 12:36:48 2025 linear algebra at 0.7%, ETA 1h 9m Sun Oct 5 12:37:35 2025 checking every 50000 dimensions, checkpointing every 3550000 dimensions Sun Oct 5 13:48:08 2025 lanczos halted after 16342 iterations (dim = 4170880) Sun Oct 5 13:48:32 2025 recovered 27 nontrivial dependencies Sun Oct 5 13:48:32 2025 BLanczosTime: 4351 Sun Oct 5 13:48:32 2025 Sun Oct 5 13:48:32 2025 commencing square root phase Sun Oct 5 13:48:32 2025 handling dependencies 1 to 64 Sun Oct 5 13:48:32 2025 reading relations for dependency 1 Sun Oct 5 13:48:33 2025 read 2086622 cycles Sun Oct 5 13:48:41 2025 cycles contain 6799036 unique relations Sun Oct 5 13:50:46 2025 read 6799036 relations Sun Oct 5 13:51:41 2025 multiplying 6799036 relations Sun Oct 5 13:52:48 2025 multiply complete, coefficients have about 352.30 million bits Sun Oct 5 13:52:49 2025 initial square root is modulo 2096111 Sun Oct 5 13:55:35 2025 sqrtTime: 423 Sun Oct 5 13:55:35 2025 p62 factor: 17707093012894085948755465872945755748963469404562094249186179 Sun Oct 5 13:55:35 2025 p99 factor: 285859502005370288660410618553294193095874508412657247482773989489222573134300483165555751800723629 Sun Oct 5 13:55:35 2025 elapsed time 01:19:35