Thu Mar 19 18:28:32 2026 Thu Mar 19 18:28:32 2026 Thu Mar 19 18:28:32 2026 Msieve v. 1.54 (SVN Unversioned directory) Thu Mar 19 18:28:32 2026 random seeds: 47424ac5 dc072218 Thu Mar 19 18:28:32 2026 MPI process 0 of 1 Thu Mar 19 18:28:32 2026 Using 32 OpenMP threads Thu Mar 19 18:28:32 2026 factoring 1695953992661818139418711348768461747322400750950778247926558963899607764024963348134334517386903953000408655561708130604326514342506520132681238465855604495997 (160 digits) Thu Mar 19 18:28:32 2026 searching for 15-digit factors Thu Mar 19 18:28:33 2026 commencing number field sieve (160-digit input) Thu Mar 19 18:28:33 2026 reversing signs of algebraic polynomial Thu Mar 19 18:28:33 2026 R0: -7953575785180079280125755638015 Thu Mar 19 18:28:33 2026 R1: 375137930577527724717511 Thu Mar 19 18:28:33 2026 A0: -51323756665039664988165220190751497280 Thu Mar 19 18:28:33 2026 A1: 28130438859891582677734237298584 Thu Mar 19 18:28:33 2026 A2: -9161282209047004917999429 Thu Mar 19 18:28:33 2026 A3: -38132865532666805803 Thu Mar 19 18:28:33 2026 A4: 107748225990 Thu Mar 19 18:28:33 2026 A5: 4876200 Thu Mar 19 18:28:33 2026 skew 2233539.15, size 1.807e-15, alpha -8.317, combined = 1.644e-12 rroots = 3 Thu Mar 19 18:28:33 2026 Thu Mar 19 18:28:33 2026 commencing relation filtering Thu Mar 19 18:28:33 2026 setting target matrix density to 130.0 Thu Mar 19 18:28:33 2026 reversing signs of algebraic polynomial Thu Mar 19 18:28:33 2026 estimated available RAM is 257736.5 MB Thu Mar 19 18:28:33 2026 commencing duplicate removal, pass 1 Thu Mar 19 18:31:09 2026 error -1 reading relation 68234056 Thu Mar 19 18:31:13 2026 error -15 reading relation 70080273 Thu Mar 19 18:31:13 2026 error -1 reading relation 70080274 Thu Mar 19 18:31:41 2026 error -1 reading relation 82254636 Thu Mar 19 18:33:15 2026 skipped 25 malformed relations Thu Mar 19 18:33:15 2026 found 19484287 hash collisions in 120645888 relations Thu Mar 19 18:33:54 2026 added 121749 free relations Thu Mar 19 18:33:54 2026 commencing duplicate removal, pass 2 Thu Mar 19 18:37:42 2026 found 17174415 duplicates and 103593222 unique relations Thu Mar 19 18:37:42 2026 memory use: 660.8 MB Thu Mar 19 18:37:42 2026 reading ideals above 720000 Thu Mar 19 18:37:42 2026 commencing singleton removal, initial pass Thu Mar 19 18:47:57 2026 memory use: 2756.0 MB Thu Mar 19 18:47:58 2026 reading all ideals from disk Thu Mar 19 18:48:01 2026 memory use: 4616.4 MB Thu Mar 19 18:48:23 2026 keeping 90371956 ideals with weight <= 200, target excess is 535864 Thu Mar 19 18:48:56 2026 commencing in-memory singleton removal Thu Mar 19 18:48:58 2026 begin with 103593222 relations and 90371956 unique ideals Thu Mar 19 18:49:08 2026 reduce to 69617716 relations and 53116241 ideals in 13 passes Thu Mar 19 18:49:08 2026 max relations containing the same ideal: 165 Thu Mar 19 18:50:14 2026 removing 8393813 relations and 6393813 ideals in 2000000 cliques Thu Mar 19 18:50:20 2026 commencing in-memory singleton removal Thu Mar 19 18:50:21 2026 begin with 61223903 relations and 53116241 unique ideals Thu Mar 19 18:50:25 2026 reduce to 60441828 relations and 45912893 ideals in 8 passes Thu Mar 19 18:50:25 2026 max relations containing the same ideal: 152 Thu Mar 19 18:51:10 2026 removing 6630268 relations and 4630268 ideals in 2000000 cliques Thu Mar 19 18:51:16 2026 commencing in-memory singleton removal Thu Mar 19 18:51:16 2026 begin with 53811560 relations and 45912893 unique ideals Thu Mar 19 18:51:20 2026 reduce to 53262291 relations and 40715224 ideals in 8 passes Thu Mar 19 18:51:20 2026 max relations containing the same ideal: 141 Thu Mar 19 18:52:05 2026 removing 6158979 relations and 4158979 ideals in 2000000 cliques Thu Mar 19 18:52:10 2026 commencing in-memory singleton removal Thu Mar 19 18:52:11 2026 begin with 47103312 relations and 40715224 unique ideals Thu Mar 19 18:52:13 2026 reduce to 46605421 relations and 36041191 ideals in 7 passes Thu Mar 19 18:52:13 2026 max relations containing the same ideal: 127 Thu Mar 19 18:52:53 2026 removing 5921651 relations and 3921651 ideals in 2000000 cliques Thu Mar 19 18:52:57 2026 commencing in-memory singleton removal Thu Mar 19 18:52:58 2026 begin with 40683770 relations and 36041191 unique ideals Thu Mar 19 18:53:00 2026 reduce to 40189888 relations and 31606974 ideals in 7 passes Thu Mar 19 18:53:00 2026 max relations containing the same ideal: 118 Thu Mar 19 18:53:35 2026 removing 5782597 relations and 3782597 ideals in 2000000 cliques Thu Mar 19 18:53:39 2026 commencing in-memory singleton removal Thu Mar 19 18:53:40 2026 begin with 34407291 relations and 31606974 unique ideals Thu Mar 19 18:53:41 2026 reduce to 33886749 relations and 27281580 ideals in 7 passes Thu Mar 19 18:53:41 2026 max relations containing the same ideal: 101 Thu Mar 19 18:54:06 2026 removing 5695653 relations and 3695653 ideals in 2000000 cliques Thu Mar 19 18:54:09 2026 commencing in-memory singleton removal Thu Mar 19 18:54:09 2026 begin with 28191096 relations and 27281580 unique ideals Thu Mar 19 18:54:11 2026 reduce to 27618812 relations and 22984840 ideals in 8 passes Thu Mar 19 18:54:11 2026 max relations containing the same ideal: 88 Thu Mar 19 18:54:35 2026 removing 5642046 relations and 3642046 ideals in 2000000 cliques Thu Mar 19 18:54:39 2026 commencing in-memory singleton removal Thu Mar 19 18:54:39 2026 begin with 21976766 relations and 22984840 unique ideals Thu Mar 19 18:54:40 2026 reduce to 21311019 relations and 18636160 ideals in 7 passes Thu Mar 19 18:54:40 2026 max relations containing the same ideal: 73 Thu Mar 19 18:54:57 2026 removing 5589629 relations and 3589629 ideals in 2000000 cliques Thu Mar 19 18:55:00 2026 commencing in-memory singleton removal Thu Mar 19 18:55:00 2026 begin with 15721390 relations and 18636160 unique ideals Thu Mar 19 18:55:01 2026 reduce to 14892193 relations and 14150491 ideals in 8 passes Thu Mar 19 18:55:01 2026 max relations containing the same ideal: 59 Thu Mar 19 18:55:13 2026 removing 586421 relations and 466322 ideals in 120099 cliques Thu Mar 19 18:55:15 2026 commencing in-memory singleton removal Thu Mar 19 18:55:15 2026 begin with 14305772 relations and 14150491 unique ideals Thu Mar 19 18:55:16 2026 reduce to 14287898 relations and 13666138 ideals in 6 passes Thu Mar 19 18:55:16 2026 max relations containing the same ideal: 57 Thu Mar 19 18:55:30 2026 relations with 0 large ideals: 1752 Thu Mar 19 18:55:30 2026 relations with 1 large ideals: 13614 Thu Mar 19 18:55:30 2026 relations with 2 large ideals: 169765 Thu Mar 19 18:55:30 2026 relations with 3 large ideals: 892417 Thu Mar 19 18:55:30 2026 relations with 4 large ideals: 2427454 Thu Mar 19 18:55:30 2026 relations with 5 large ideals: 3825931 Thu Mar 19 18:55:30 2026 relations with 6 large ideals: 3712379 Thu Mar 19 18:55:30 2026 relations with 7+ large ideals: 3244586 Thu Mar 19 18:55:30 2026 commencing 2-way merge Thu Mar 19 18:55:46 2026 reduce to 9466293 relation sets and 8844533 unique ideals Thu Mar 19 18:55:46 2026 commencing full merge Thu Mar 19 19:03:36 2026 memory use: 1148.1 MB Thu Mar 19 19:03:38 2026 found 4223433 cycles, need 4182733 Thu Mar 19 19:03:41 2026 weight of 4182733 cycles is about 544475018 (130.17/cycle) Thu Mar 19 19:03:41 2026 distribution of cycle lengths: Thu Mar 19 19:03:41 2026 1 relations: 85493 Thu Mar 19 19:03:41 2026 2 relations: 206007 Thu Mar 19 19:03:41 2026 3 relations: 268241 Thu Mar 19 19:03:41 2026 4 relations: 292908 Thu Mar 19 19:03:41 2026 5 relations: 311878 Thu Mar 19 19:03:41 2026 6 relations: 316610 Thu Mar 19 19:03:41 2026 7 relations: 315050 Thu Mar 19 19:03:41 2026 8 relations: 303619 Thu Mar 19 19:03:41 2026 9 relations: 284713 Thu Mar 19 19:03:41 2026 10+ relations: 1798214 Thu Mar 19 19:03:41 2026 heaviest cycle: 28 relations Thu Mar 19 19:03:44 2026 commencing cycle optimization Thu Mar 19 19:04:02 2026 start with 39132130 relations Thu Mar 19 19:07:07 2026 pruned 2070369 relations Thu Mar 19 19:07:07 2026 memory use: 993.5 MB Thu Mar 19 19:07:07 2026 distribution of cycle lengths: Thu Mar 19 19:07:07 2026 1 relations: 85493 Thu Mar 19 19:07:07 2026 2 relations: 212440 Thu Mar 19 19:07:07 2026 3 relations: 281621 Thu Mar 19 19:07:07 2026 4 relations: 307868 Thu Mar 19 19:07:07 2026 5 relations: 331576 Thu Mar 19 19:07:07 2026 6 relations: 336373 Thu Mar 19 19:07:07 2026 7 relations: 335781 Thu Mar 19 19:07:07 2026 8 relations: 321108 Thu Mar 19 19:07:07 2026 9 relations: 301221 Thu Mar 19 19:07:07 2026 10+ relations: 1669252 Thu Mar 19 19:07:07 2026 heaviest cycle: 28 relations Thu Mar 19 19:07:21 2026 RelProcTime: 2328 Thu Mar 19 19:07:21 2026 Thu Mar 19 19:07:21 2026 commencing linear algebra Thu Mar 19 19:07:21 2026 using VBITS=256 Thu Mar 19 19:07:21 2026 stopping after matrix build Thu Mar 19 19:07:21 2026 initialized process (0,0) of 1 x 1 grid Thu Mar 19 19:07:21 2026 reversing signs of algebraic polynomial Thu Mar 19 19:07:22 2026 read 4182733 cycles Thu Mar 19 19:07:37 2026 cycles contain 13985081 unique relations Thu Mar 19 19:10:05 2026 read 13985081 relations Thu Mar 19 19:10:08 2026 using 20 quadratic characters above 4294917295 Thu Mar 19 19:10:10 2026 building initial matrix Thu Mar 19 19:16:06 2026 memory use: 1940.4 MB Thu Mar 19 19:16:12 2026 read 4182733 cycles Thu Mar 19 19:16:13 2026 matrix is 4182556 x 4182733 (2097.0 MB) with weight 637284048 (152.36/col) Thu Mar 19 19:16:13 2026 sparse part has weight 499525674 (119.43/col) Thu Mar 19 19:17:50 2026 filtering completed in 2 passes Thu Mar 19 19:17:52 2026 matrix is 4182455 x 4182629 (2097.0 MB) with weight 637276754 (152.36/col) Thu Mar 19 19:17:52 2026 sparse part has weight 499521937 (119.43/col) Thu Mar 19 19:18:24 2026 BLanczosTime: 663 Thu Mar 19 19:18:24 2026 elapsed time 00:49:52 Thu Mar 19 20:57:26 2026 Thu Mar 19 20:57:26 2026 Thu Mar 19 20:57:26 2026 Msieve v. 1.54 (SVN Unversioned directory) Thu Mar 19 20:57:26 2026 random seeds: 758a31e8 8c7168e9 Thu Mar 19 20:57:26 2026 MPI process 0 of 1 Thu Mar 19 20:57:26 2026 Using 64 OpenMP threads Thu Mar 19 20:57:26 2026 factoring 1695953992661818139418711348768461747322400750950778247926558963899607764024963348134334517386903953000408655561708130604326514342506520132681238465855604495997 (160 digits) Thu Mar 19 20:57:27 2026 searching for 15-digit factors Thu Mar 19 20:57:28 2026 commencing number field sieve (160-digit input) Thu Mar 19 20:57:28 2026 reversing signs of algebraic polynomial Thu Mar 19 20:57:28 2026 R0: -7953575785180079280125755638015 Thu Mar 19 20:57:28 2026 R1: 375137930577527724717511 Thu Mar 19 20:57:28 2026 A0: -51323756665039664988165220190751497280 Thu Mar 19 20:57:28 2026 A1: 28130438859891582677734237298584 Thu Mar 19 20:57:28 2026 A2: -9161282209047004917999429 Thu Mar 19 20:57:28 2026 A3: -38132865532666805803 Thu Mar 19 20:57:28 2026 A4: 107748225990 Thu Mar 19 20:57:28 2026 A5: 4876200 Thu Mar 19 20:57:28 2026 skew 2233539.15, size 1.807e-15, alpha -8.317, combined = 1.644e-12 rroots = 3 Thu Mar 19 20:57:28 2026 Thu Mar 19 20:57:28 2026 commencing linear algebra Thu Mar 19 20:57:28 2026 using VBITS=256 Thu Mar 19 20:57:28 2026 skipping matrix build Thu Mar 19 20:57:28 2026 initialized process (0,0) of 1 x 1 grid Thu Mar 19 20:57:31 2026 matrix starts at (0, 0) Thu Mar 19 20:57:32 2026 matrix is 4182455 x 4182629 (2097.0 MB) with weight 637276754 (152.36/col) Thu Mar 19 20:57:32 2026 sparse part has weight 499521937 (119.43/col) Thu Mar 19 20:57:32 2026 saving the first 240 matrix rows for later Thu Mar 19 20:57:33 2026 matrix includes 256 packed rows Thu Mar 19 20:57:36 2026 matrix is 4182215 x 4182629 (1858.7 MB) with weight 452339822 (108.15/col) Thu Mar 19 20:57:36 2026 sparse part has weight 420331003 (100.49/col) Thu Mar 19 20:57:36 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Thu Mar 19 20:57:52 2026 commencing Lanczos iteration (64 threads) Thu Mar 19 20:57:52 2026 memory use: 2630.4 MB Thu Mar 19 20:58:57 2026 linear algebra at 0.7%, ETA 2h20m Thu Mar 19 21:00:13 2026 checking every 30000 dimensions, checkpointing every 2010000 dimensions Thu Mar 19 22:56:44 2026 lanczos halted after 16387 iterations (dim = 4182215) Thu Mar 19 22:57:07 2026 recovered 33 nontrivial dependencies Thu Mar 19 22:57:08 2026 BLanczosTime: 7180 Thu Mar 19 22:57:08 2026 Thu Mar 19 22:57:08 2026 commencing square root phase Thu Mar 19 22:57:08 2026 reversing signs of algebraic polynomial Thu Mar 19 22:57:08 2026 handling dependencies 1 to 64 Thu Mar 19 22:57:08 2026 reading relations for dependency 1 Thu Mar 19 22:57:09 2026 read 2091017 cycles Thu Mar 19 22:57:16 2026 cycles contain 6991688 unique relations Thu Mar 19 22:59:15 2026 read 6991688 relations Thu Mar 19 22:59:50 2026 multiplying 6991688 relations Thu Mar 19 23:00:48 2026 multiply complete, coefficients have about 398.62 million bits Thu Mar 19 23:00:50 2026 initial square root is modulo 14209931 Thu Mar 19 23:04:20 2026 sqrtTime: 432 Thu Mar 19 23:04:20 2026 p54 factor: 247292723447824157159494953055095434601722066578223209 Thu Mar 19 23:04:20 2026 p106 factor: 6858082878526930833352607548287687337373591316258776709369397211147083949751278529627374837588866466738933 Thu Mar 19 23:04:20 2026 elapsed time 02:06:54