Wed Nov 5 08:59:02 2025 Wed Nov 5 08:59:02 2025 Wed Nov 5 08:59:02 2025 Msieve v. 1.54 (SVN Unversioned directory) Wed Nov 5 08:59:02 2025 random seeds: 88d59ba5 52f94241 Wed Nov 5 08:59:02 2025 MPI process 0 of 1 Wed Nov 5 08:59:02 2025 Using 32 OpenMP threads Wed Nov 5 08:59:02 2025 factoring 1130518923684338696416756542825609924669505731436669579995316602370334527096982012595092389695609092908245050842990609457673283791494010166325414179469916987587 (160 digits) Wed Nov 5 08:59:03 2025 searching for 15-digit factors Wed Nov 5 08:59:03 2025 commencing number field sieve (160-digit input) Wed Nov 5 08:59:03 2025 R0: -4105923748762240045265927692060 Wed Nov 5 08:59:03 2025 R1: 1447790044480006166417383 Wed Nov 5 08:59:03 2025 A0: -35798594974452070125868789784147479471 Wed Nov 5 08:59:03 2025 A1: 10528148178677364853474047357709 Wed Nov 5 08:59:03 2025 A2: 30737398408337353419759878 Wed Nov 5 08:59:03 2025 A3: 864090810019919040 Wed Nov 5 08:59:03 2025 A4: -1758786961896 Wed Nov 5 08:59:03 2025 A5: 166320 Wed Nov 5 08:59:03 2025 skew 2705481.24, size 2.268e-15, alpha -6.872, combined = 1.882e-12 rroots = 3 Wed Nov 5 08:59:03 2025 Wed Nov 5 08:59:03 2025 commencing relation filtering Wed Nov 5 08:59:03 2025 setting target matrix density to 130.0 Wed Nov 5 08:59:03 2025 estimated available RAM is 257736.5 MB Wed Nov 5 08:59:03 2025 commencing duplicate removal, pass 1 Wed Nov 5 08:59:33 2025 error -11 reading relation 18081825 Wed Nov 5 08:59:42 2025 error -1 reading relation 23928985 Wed Nov 5 09:00:22 2025 error -1 reading relation 49637235 Wed Nov 5 09:01:26 2025 error -1 reading relation 90263425 Wed Nov 5 09:02:23 2025 skipped 49 malformed relations Wed Nov 5 09:02:23 2025 found 19285566 hash collisions in 125354158 relations Wed Nov 5 09:02:45 2025 added 122092 free relations Wed Nov 5 09:02:45 2025 commencing duplicate removal, pass 2 Wed Nov 5 09:05:15 2025 found 16334727 duplicates and 109141523 unique relations Wed Nov 5 09:05:15 2025 memory use: 660.8 MB Wed Nov 5 09:05:15 2025 reading ideals above 720000 Wed Nov 5 09:05:15 2025 commencing singleton removal, initial pass Wed Nov 5 09:11:49 2025 memory use: 2756.0 MB Wed Nov 5 09:11:49 2025 reading all ideals from disk Wed Nov 5 09:11:51 2025 memory use: 4865.1 MB Wed Nov 5 09:12:02 2025 keeping 91623682 ideals with weight <= 200, target excess is 560224 Wed Nov 5 09:12:15 2025 commencing in-memory singleton removal Wed Nov 5 09:12:17 2025 begin with 109141523 relations and 91623682 unique ideals Wed Nov 5 09:12:24 2025 reduce to 76897906 relations and 56533295 ideals in 13 passes Wed Nov 5 09:12:24 2025 max relations containing the same ideal: 167 Wed Nov 5 09:12:54 2025 removing 8025627 relations and 6025627 ideals in 2000000 cliques Wed Nov 5 09:12:57 2025 commencing in-memory singleton removal Wed Nov 5 09:12:58 2025 begin with 68872279 relations and 56533295 unique ideals Wed Nov 5 09:13:01 2025 reduce to 68216422 relations and 49830674 ideals in 7 passes Wed Nov 5 09:13:01 2025 max relations containing the same ideal: 157 Wed Nov 5 09:13:27 2025 removing 6366666 relations and 4366666 ideals in 2000000 cliques Wed Nov 5 09:13:30 2025 commencing in-memory singleton removal Wed Nov 5 09:13:31 2025 begin with 61849756 relations and 49830674 unique ideals Wed Nov 5 09:13:34 2025 reduce to 61399923 relations and 45001118 ideals in 8 passes Wed Nov 5 09:13:34 2025 max relations containing the same ideal: 146 Wed Nov 5 09:13:59 2025 removing 5924743 relations and 3924743 ideals in 2000000 cliques Wed Nov 5 09:14:02 2025 commencing in-memory singleton removal Wed Nov 5 09:14:03 2025 begin with 55475180 relations and 45001118 unique ideals Wed Nov 5 09:14:05 2025 reduce to 55077165 relations and 40666457 ideals in 7 passes Wed Nov 5 09:14:05 2025 max relations containing the same ideal: 135 Wed Nov 5 09:14:26 2025 removing 5700636 relations and 3700636 ideals in 2000000 cliques Wed Nov 5 09:14:29 2025 commencing in-memory singleton removal Wed Nov 5 09:14:29 2025 begin with 49376529 relations and 40666457 unique ideals Wed Nov 5 09:14:31 2025 reduce to 48993053 relations and 36569923 ideals in 6 passes Wed Nov 5 09:14:31 2025 max relations containing the same ideal: 126 Wed Nov 5 09:14:50 2025 removing 5559518 relations and 3559518 ideals in 2000000 cliques Wed Nov 5 09:14:52 2025 commencing in-memory singleton removal Wed Nov 5 09:14:53 2025 begin with 43433535 relations and 36569923 unique ideals Wed Nov 5 09:14:54 2025 reduce to 43046775 relations and 32609908 ideals in 7 passes Wed Nov 5 09:14:54 2025 max relations containing the same ideal: 114 Wed Nov 5 09:15:11 2025 removing 5466851 relations and 3466851 ideals in 2000000 cliques Wed Nov 5 09:15:13 2025 commencing in-memory singleton removal Wed Nov 5 09:15:14 2025 begin with 37579924 relations and 32609908 unique ideals Wed Nov 5 09:15:15 2025 reduce to 37175874 relations and 28722955 ideals in 6 passes Wed Nov 5 09:15:15 2025 max relations containing the same ideal: 104 Wed Nov 5 09:15:29 2025 removing 5403569 relations and 3403569 ideals in 2000000 cliques Wed Nov 5 09:15:31 2025 commencing in-memory singleton removal Wed Nov 5 09:15:32 2025 begin with 31772305 relations and 28722955 unique ideals Wed Nov 5 09:15:33 2025 reduce to 31332416 relations and 24859909 ideals in 6 passes Wed Nov 5 09:15:33 2025 max relations containing the same ideal: 94 Wed Nov 5 09:15:45 2025 removing 5363436 relations and 3363436 ideals in 2000000 cliques Wed Nov 5 09:15:47 2025 commencing in-memory singleton removal Wed Nov 5 09:15:47 2025 begin with 25968980 relations and 24859909 unique ideals Wed Nov 5 09:15:48 2025 reduce to 25474520 relations and 20975964 ideals in 6 passes Wed Nov 5 09:15:48 2025 max relations containing the same ideal: 82 Wed Nov 5 09:15:58 2025 removing 5331527 relations and 3331527 ideals in 2000000 cliques Wed Nov 5 09:16:00 2025 commencing in-memory singleton removal Wed Nov 5 09:16:00 2025 begin with 20142993 relations and 20975964 unique ideals Wed Nov 5 09:16:01 2025 reduce to 19558813 relations and 17022608 ideals in 8 passes Wed Nov 5 09:16:01 2025 max relations containing the same ideal: 72 Wed Nov 5 09:16:09 2025 removing 5033823 relations and 3147478 ideals in 1886345 cliques Wed Nov 5 09:16:10 2025 commencing in-memory singleton removal Wed Nov 5 09:16:10 2025 begin with 14524990 relations and 17022608 unique ideals Wed Nov 5 09:16:11 2025 reduce to 13838234 relations and 13132928 ideals in 8 passes Wed Nov 5 09:16:11 2025 max relations containing the same ideal: 58 Wed Nov 5 09:16:17 2025 removing 287379 relations and 231933 ideals in 55446 cliques Wed Nov 5 09:16:17 2025 commencing in-memory singleton removal Wed Nov 5 09:16:18 2025 begin with 13550855 relations and 13132928 unique ideals Wed Nov 5 09:16:18 2025 reduce to 13545654 relations and 12895768 ideals in 5 passes Wed Nov 5 09:16:18 2025 max relations containing the same ideal: 55 Wed Nov 5 09:16:19 2025 relations with 0 large ideals: 1870 Wed Nov 5 09:16:19 2025 relations with 1 large ideals: 15286 Wed Nov 5 09:16:19 2025 relations with 2 large ideals: 189481 Wed Nov 5 09:16:19 2025 relations with 3 large ideals: 951812 Wed Nov 5 09:16:19 2025 relations with 4 large ideals: 2471138 Wed Nov 5 09:16:19 2025 relations with 5 large ideals: 3694296 Wed Nov 5 09:16:19 2025 relations with 6 large ideals: 3414071 Wed Nov 5 09:16:19 2025 relations with 7+ large ideals: 2807700 Wed Nov 5 09:16:19 2025 commencing 2-way merge Wed Nov 5 09:16:27 2025 reduce to 9254996 relation sets and 8605110 unique ideals Wed Nov 5 09:16:27 2025 commencing full merge Wed Nov 5 09:19:41 2025 memory use: 1104.4 MB Wed Nov 5 09:19:42 2025 found 4081554 cycles, need 4047310 Wed Nov 5 09:19:43 2025 weight of 4047310 cycles is about 526517922 (130.09/cycle) Wed Nov 5 09:19:43 2025 distribution of cycle lengths: Wed Nov 5 09:19:43 2025 1 relations: 66382 Wed Nov 5 09:19:43 2025 2 relations: 185469 Wed Nov 5 09:19:43 2025 3 relations: 249431 Wed Nov 5 09:19:43 2025 4 relations: 280271 Wed Nov 5 09:19:43 2025 5 relations: 304970 Wed Nov 5 09:19:43 2025 6 relations: 309707 Wed Nov 5 09:19:43 2025 7 relations: 310985 Wed Nov 5 09:19:43 2025 8 relations: 298004 Wed Nov 5 09:19:43 2025 9 relations: 280033 Wed Nov 5 09:19:43 2025 10+ relations: 1762058 Wed Nov 5 09:19:43 2025 heaviest cycle: 28 relations Wed Nov 5 09:19:44 2025 commencing cycle optimization Wed Nov 5 09:19:53 2025 start with 38458204 relations Wed Nov 5 09:21:23 2025 pruned 2189473 relations Wed Nov 5 09:21:23 2025 memory use: 955.7 MB Wed Nov 5 09:21:23 2025 distribution of cycle lengths: Wed Nov 5 09:21:23 2025 1 relations: 66382 Wed Nov 5 09:21:23 2025 2 relations: 191455 Wed Nov 5 09:21:23 2025 3 relations: 262663 Wed Nov 5 09:21:23 2025 4 relations: 296150 Wed Nov 5 09:21:23 2025 5 relations: 325512 Wed Nov 5 09:21:23 2025 6 relations: 330515 Wed Nov 5 09:21:23 2025 7 relations: 333851 Wed Nov 5 09:21:23 2025 8 relations: 317394 Wed Nov 5 09:21:23 2025 9 relations: 296535 Wed Nov 5 09:21:23 2025 10+ relations: 1626853 Wed Nov 5 09:21:23 2025 heaviest cycle: 28 relations Wed Nov 5 09:21:29 2025 RelProcTime: 1346 Wed Nov 5 09:21:29 2025 Wed Nov 5 09:21:29 2025 commencing linear algebra Wed Nov 5 09:21:29 2025 using VBITS=256 Wed Nov 5 09:21:29 2025 stopping after matrix build Wed Nov 5 09:21:29 2025 initialized process (0,0) of 1 x 1 grid Wed Nov 5 09:21:29 2025 read 4047310 cycles Wed Nov 5 09:21:36 2025 cycles contain 13242514 unique relations Wed Nov 5 09:23:27 2025 read 13242514 relations Wed Nov 5 09:23:28 2025 using 20 quadratic characters above 4294917295 Wed Nov 5 09:23:30 2025 building initial matrix Wed Nov 5 09:26:20 2025 memory use: 1824.9 MB Wed Nov 5 09:26:23 2025 read 4047310 cycles Wed Nov 5 09:26:24 2025 matrix is 4047133 x 4047310 (2020.2 MB) with weight 618508861 (152.82/col) Wed Nov 5 09:26:24 2025 sparse part has weight 481010330 (118.85/col) Wed Nov 5 09:27:21 2025 filtering completed in 2 passes Wed Nov 5 09:27:22 2025 matrix is 4047028 x 4047205 (2020.2 MB) with weight 618503487 (152.82/col) Wed Nov 5 09:27:22 2025 sparse part has weight 481008690 (118.85/col) Wed Nov 5 09:27:46 2025 BLanczosTime: 377 Wed Nov 5 09:27:46 2025 elapsed time 00:28:44 Wed Nov 5 09:28:19 2025 Wed Nov 5 09:28:19 2025 Wed Nov 5 09:28:19 2025 Msieve v. 1.54 (SVN Unversioned directory) Wed Nov 5 09:28:19 2025 random seeds: 1bdd2292 411d7835 Wed Nov 5 09:28:19 2025 MPI process 0 of 1 Wed Nov 5 09:28:19 2025 Using 64 OpenMP threads Wed Nov 5 09:28:19 2025 factoring 1130518923684338696416756542825609924669505731436669579995316602370334527096982012595092389695609092908245050842990609457673283791494010166325414179469916987587 (160 digits) Wed Nov 5 09:28:19 2025 searching for 15-digit factors Wed Nov 5 09:28:19 2025 commencing number field sieve (160-digit input) Wed Nov 5 09:28:19 2025 R0: -4105923748762240045265927692060 Wed Nov 5 09:28:19 2025 R1: 1447790044480006166417383 Wed Nov 5 09:28:19 2025 A0: -35798594974452070125868789784147479471 Wed Nov 5 09:28:19 2025 A1: 10528148178677364853474047357709 Wed Nov 5 09:28:19 2025 A2: 30737398408337353419759878 Wed Nov 5 09:28:19 2025 A3: 864090810019919040 Wed Nov 5 09:28:19 2025 A4: -1758786961896 Wed Nov 5 09:28:19 2025 A5: 166320 Wed Nov 5 09:28:19 2025 skew 2705481.24, size 2.268e-15, alpha -6.872, combined = 1.882e-12 rroots = 3 Wed Nov 5 09:28:19 2025 Wed Nov 5 09:28:19 2025 commencing linear algebra Wed Nov 5 09:28:19 2025 using VBITS=256 Wed Nov 5 09:28:19 2025 skipping matrix build Wed Nov 5 09:28:19 2025 initialized process (0,0) of 1 x 1 grid Wed Nov 5 09:28:22 2025 matrix starts at (0, 0) Wed Nov 5 09:28:22 2025 matrix is 4047028 x 4047205 (2020.2 MB) with weight 618503487 (152.82/col) Wed Nov 5 09:28:22 2025 sparse part has weight 481008690 (118.85/col) Wed Nov 5 09:28:22 2025 saving the first 240 matrix rows for later Wed Nov 5 09:28:23 2025 matrix includes 256 packed rows Wed Nov 5 09:28:25 2025 matrix is 4046788 x 4047205 (1806.4 MB) with weight 438704393 (108.40/col) Wed Nov 5 09:28:25 2025 sparse part has weight 408779976 (101.00/col) Wed Nov 5 09:28:25 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Wed Nov 5 09:28:34 2025 commencing Lanczos iteration (64 threads) Wed Nov 5 09:28:34 2025 memory use: 2553.9 MB Wed Nov 5 09:29:05 2025 linear algebra at 0.8%, ETA 1h 5m Wed Nov 5 09:29:51 2025 checking every 60000 dimensions, checkpointing every 3660000 dimensions Wed Nov 5 10:34:38 2025 lanczos halted after 15857 iterations (dim = 4046786) Wed Nov 5 10:34:56 2025 recovered 29 nontrivial dependencies Wed Nov 5 10:34:57 2025 BLanczosTime: 3998 Wed Nov 5 10:34:57 2025 Wed Nov 5 10:34:57 2025 commencing square root phase Wed Nov 5 10:34:57 2025 handling dependencies 1 to 64 Wed Nov 5 10:34:57 2025 reading relations for dependency 1 Wed Nov 5 10:34:57 2025 read 2024055 cycles Wed Nov 5 10:35:00 2025 cycles contain 6625716 unique relations Wed Nov 5 10:36:41 2025 read 6625716 relations Wed Nov 5 10:37:02 2025 multiplying 6625716 relations Wed Nov 5 10:37:43 2025 multiply complete, coefficients have about 352.57 million bits Wed Nov 5 10:37:45 2025 initial square root is modulo 2119919 Wed Nov 5 10:40:33 2025 sqrtTime: 336 Wed Nov 5 10:40:33 2025 p75 factor: 283601090094455082774545306392802597028099291127821855929742956231578689307 Wed Nov 5 10:40:33 2025 p85 factor: 3986299641189011064252638268401782511206526316408905373038384803686237510932157618041 Wed Nov 5 10:40:33 2025 elapsed time 01:12:14