Wed Jun 17 21:04:40 2026 Wed Jun 17 21:04:40 2026 Wed Jun 17 21:04:40 2026 Msieve v. 1.54 (SVN Unversioned directory) Wed Jun 17 21:04:40 2026 random seeds: a3404e9f 441623f5 Wed Jun 17 21:04:40 2026 MPI process 0 of 1 Wed Jun 17 21:04:40 2026 Using 32 OpenMP threads Wed Jun 17 21:04:40 2026 factoring 33569828768387548549598540949189222134708780400804249298521993348740549619973595855468032170365947271099224516107681353135698719392323088466906890071938073058143 (161 digits) Wed Jun 17 21:04:41 2026 searching for 15-digit factors Wed Jun 17 21:04:41 2026 commencing number field sieve (161-digit input) Wed Jun 17 21:04:41 2026 R0: -10486038224648853111782569895468 Wed Jun 17 21:04:41 2026 R1: 35594497219992364359233 Wed Jun 17 21:04:41 2026 A0: 704316949399212358565143830783799179693 Wed Jun 17 21:04:41 2026 A1: -283662192663603963732366105631272 Wed Jun 17 21:04:41 2026 A2: -247763386382499018818912111 Wed Jun 17 21:04:41 2026 A3: -3139353260371497034 Wed Jun 17 21:04:41 2026 A4: 176250279612 Wed Jun 17 21:04:41 2026 A5: 793800 Wed Jun 17 21:04:41 2026 skew 4903837.96, size 1.329e-15, alpha -8.206, combined = 1.363e-12 rroots = 3 Wed Jun 17 21:04:41 2026 Wed Jun 17 21:04:41 2026 commencing relation filtering Wed Jun 17 21:04:41 2026 setting target matrix density to 120.0 Wed Jun 17 21:04:41 2026 estimated available RAM is 257736.5 MB Wed Jun 17 21:04:41 2026 commencing duplicate removal, pass 1 Wed Jun 17 21:10:00 2026 error -1 reading relation 122364037 Wed Jun 17 21:10:18 2026 skipped 1 relations with b > 2^32 Wed Jun 17 21:10:18 2026 skipped 69 malformed relations Wed Jun 17 21:10:18 2026 found 23145223 hash collisions in 129541789 relations Wed Jun 17 21:10:48 2026 commencing duplicate removal, pass 2 Wed Jun 17 21:13:14 2026 found 21142502 duplicates and 108399287 unique relations Wed Jun 17 21:13:14 2026 memory use: 724.8 MB Wed Jun 17 21:13:14 2026 reading ideals above 720000 Wed Jun 17 21:13:14 2026 commencing singleton removal, initial pass Wed Jun 17 21:23:36 2026 memory use: 3012.0 MB Wed Jun 17 21:23:38 2026 reading all ideals from disk Wed Jun 17 21:23:41 2026 memory use: 4795.5 MB Wed Jun 17 21:23:56 2026 keeping 111953929 ideals with weight <= 200, target excess is 589581 Wed Jun 17 21:24:16 2026 commencing in-memory singleton removal Wed Jun 17 21:24:18 2026 begin with 108399287 relations and 111953929 unique ideals Wed Jun 17 21:24:27 2026 reduce to 47626434 relations and 42074226 ideals in 17 passes Wed Jun 17 21:24:27 2026 max relations containing the same ideal: 120 Wed Jun 17 21:25:02 2026 removing 6976651 relations and 5976651 ideals in 1000000 cliques Wed Jun 17 21:25:04 2026 commencing in-memory singleton removal Wed Jun 17 21:25:05 2026 begin with 40649783 relations and 42074226 unique ideals Wed Jun 17 21:25:08 2026 reduce to 39867633 relations and 35294185 ideals in 10 passes Wed Jun 17 21:25:08 2026 max relations containing the same ideal: 105 Wed Jun 17 21:25:36 2026 removing 5236942 relations and 4236942 ideals in 1000000 cliques Wed Jun 17 21:25:38 2026 commencing in-memory singleton removal Wed Jun 17 21:25:39 2026 begin with 34630691 relations and 35294185 unique ideals Wed Jun 17 21:25:41 2026 reduce to 34094492 relations and 30507752 ideals in 10 passes Wed Jun 17 21:25:41 2026 max relations containing the same ideal: 97 Wed Jun 17 21:26:04 2026 removing 4699174 relations and 3699174 ideals in 1000000 cliques Wed Jun 17 21:26:06 2026 commencing in-memory singleton removal Wed Jun 17 21:26:07 2026 begin with 29395318 relations and 30507752 unique ideals Wed Jun 17 21:26:09 2026 reduce to 28895446 relations and 26295018 ideals in 9 passes Wed Jun 17 21:26:09 2026 max relations containing the same ideal: 85 Wed Jun 17 21:26:28 2026 removing 4431118 relations and 3431118 ideals in 1000000 cliques Wed Jun 17 21:26:30 2026 commencing in-memory singleton removal Wed Jun 17 21:26:31 2026 begin with 24464328 relations and 26295018 unique ideals Wed Jun 17 21:26:32 2026 reduce to 23950566 relations and 22334258 ideals in 9 passes Wed Jun 17 21:26:32 2026 max relations containing the same ideal: 75 Wed Jun 17 21:26:49 2026 removing 4044696 relations and 3112302 ideals in 932394 cliques Wed Jun 17 21:26:51 2026 commencing in-memory singleton removal Wed Jun 17 21:26:51 2026 begin with 19905870 relations and 22334258 unique ideals Wed Jun 17 21:26:53 2026 reduce to 19399544 relations and 18698240 ideals in 9 passes Wed Jun 17 21:26:53 2026 max relations containing the same ideal: 65 Wed Jun 17 21:27:06 2026 removing 159124 relations and 141734 ideals in 17390 cliques Wed Jun 17 21:27:07 2026 commencing in-memory singleton removal Wed Jun 17 21:27:07 2026 begin with 19240420 relations and 18698240 unique ideals Wed Jun 17 21:27:08 2026 reduce to 19239740 relations and 18555826 ideals in 5 passes Wed Jun 17 21:27:08 2026 max relations containing the same ideal: 65 Wed Jun 17 21:27:11 2026 relations with 0 large ideals: 1928 Wed Jun 17 21:27:11 2026 relations with 1 large ideals: 15928 Wed Jun 17 21:27:11 2026 relations with 2 large ideals: 205266 Wed Jun 17 21:27:11 2026 relations with 3 large ideals: 1135108 Wed Jun 17 21:27:11 2026 relations with 4 large ideals: 3244790 Wed Jun 17 21:27:11 2026 relations with 5 large ideals: 5274611 Wed Jun 17 21:27:11 2026 relations with 6 large ideals: 5110119 Wed Jun 17 21:27:11 2026 relations with 7+ large ideals: 4251990 Wed Jun 17 21:27:11 2026 commencing 2-way merge Wed Jun 17 21:27:29 2026 reduce to 11337242 relation sets and 10653328 unique ideals Wed Jun 17 21:27:29 2026 commencing full merge Wed Jun 17 21:33:17 2026 memory use: 1314.3 MB Wed Jun 17 21:33:18 2026 found 5034300 cycles, need 4999528 Wed Jun 17 21:33:19 2026 weight of 4999528 cycles is about 600594658 (120.13/cycle) Wed Jun 17 21:33:19 2026 distribution of cycle lengths: Wed Jun 17 21:33:19 2026 1 relations: 260618 Wed Jun 17 21:33:19 2026 2 relations: 332799 Wed Jun 17 21:33:19 2026 3 relations: 367720 Wed Jun 17 21:33:19 2026 4 relations: 365485 Wed Jun 17 21:33:19 2026 5 relations: 362809 Wed Jun 17 21:33:19 2026 6 relations: 350458 Wed Jun 17 21:33:19 2026 7 relations: 338046 Wed Jun 17 21:33:19 2026 8 relations: 317966 Wed Jun 17 21:33:19 2026 9 relations: 300037 Wed Jun 17 21:33:19 2026 10+ relations: 2003590 Wed Jun 17 21:33:19 2026 heaviest cycle: 28 relations Wed Jun 17 21:33:21 2026 commencing cycle optimization Wed Jun 17 21:33:29 2026 start with 44507777 relations Wed Jun 17 21:35:32 2026 pruned 1714535 relations Wed Jun 17 21:35:32 2026 memory use: 1238.2 MB Wed Jun 17 21:35:33 2026 distribution of cycle lengths: Wed Jun 17 21:35:33 2026 1 relations: 260618 Wed Jun 17 21:35:33 2026 2 relations: 341195 Wed Jun 17 21:35:33 2026 3 relations: 382410 Wed Jun 17 21:35:33 2026 4 relations: 378978 Wed Jun 17 21:35:33 2026 5 relations: 378294 Wed Jun 17 21:35:33 2026 6 relations: 363600 Wed Jun 17 21:35:33 2026 7 relations: 351128 Wed Jun 17 21:35:33 2026 8 relations: 329142 Wed Jun 17 21:35:33 2026 9 relations: 310528 Wed Jun 17 21:35:33 2026 10+ relations: 1903635 Wed Jun 17 21:35:33 2026 heaviest cycle: 28 relations Wed Jun 17 21:35:46 2026 RelProcTime: 1865 Wed Jun 17 21:35:46 2026 Wed Jun 17 21:35:46 2026 commencing linear algebra Wed Jun 17 21:35:46 2026 using VBITS=256 Wed Jun 17 21:35:46 2026 stopping after matrix build Wed Jun 17 21:35:46 2026 initialized process (0,0) of 1 x 1 grid Wed Jun 17 21:35:47 2026 read 4999528 cycles Wed Jun 17 21:36:01 2026 cycles contain 18736375 unique relations Wed Jun 17 21:38:26 2026 read 18736375 relations Wed Jun 17 21:38:28 2026 using 20 quadratic characters above 4294917295 Wed Jun 17 21:38:31 2026 building initial matrix Wed Jun 17 21:43:17 2026 memory use: 2495.4 MB Wed Jun 17 21:43:20 2026 read 4999528 cycles Wed Jun 17 21:43:21 2026 matrix is 4999350 x 4999528 (2369.3 MB) with weight 725124411 (145.04/col) Wed Jun 17 21:43:21 2026 sparse part has weight 561105090 (112.23/col) Wed Jun 17 21:44:21 2026 filtering completed in 2 passes Wed Jun 17 21:44:22 2026 matrix is 4998944 x 4999122 (2369.3 MB) with weight 725102262 (145.05/col) Wed Jun 17 21:44:22 2026 sparse part has weight 561097663 (112.24/col) Wed Jun 17 21:44:49 2026 BLanczosTime: 543 Wed Jun 17 21:44:49 2026 elapsed time 00:40:09 Thu Jun 18 16:07:31 2026 Thu Jun 18 16:07:31 2026 Thu Jun 18 16:07:31 2026 Msieve v. 1.54 (SVN Unversioned directory) Thu Jun 18 16:07:31 2026 random seeds: 7085faef a5fb1f88 Thu Jun 18 16:07:31 2026 MPI process 0 of 1 Thu Jun 18 16:07:31 2026 Using 64 OpenMP threads Thu Jun 18 16:07:31 2026 factoring 33569828768387548549598540949189222134708780400804249298521993348740549619973595855468032170365947271099224516107681353135698719392323088466906890071938073058143 (161 digits) Thu Jun 18 16:07:32 2026 searching for 15-digit factors Thu Jun 18 16:07:32 2026 commencing number field sieve (161-digit input) Thu Jun 18 16:07:32 2026 R0: -10486038224648853111782569895468 Thu Jun 18 16:07:32 2026 R1: 35594497219992364359233 Thu Jun 18 16:07:32 2026 A0: 704316949399212358565143830783799179693 Thu Jun 18 16:07:32 2026 A1: -283662192663603963732366105631272 Thu Jun 18 16:07:32 2026 A2: -247763386382499018818912111 Thu Jun 18 16:07:32 2026 A3: -3139353260371497034 Thu Jun 18 16:07:32 2026 A4: 176250279612 Thu Jun 18 16:07:32 2026 A5: 793800 Thu Jun 18 16:07:32 2026 skew 4903837.96, size 1.329e-15, alpha -8.206, combined = 1.363e-12 rroots = 3 Thu Jun 18 16:07:32 2026 Thu Jun 18 16:07:32 2026 commencing linear algebra Thu Jun 18 16:07:32 2026 using VBITS=256 Thu Jun 18 16:07:32 2026 skipping matrix build Thu Jun 18 16:07:32 2026 initialized process (0,0) of 1 x 1 grid Thu Jun 18 16:07:35 2026 matrix starts at (0, 0) Thu Jun 18 16:07:36 2026 matrix is 4998944 x 4999122 (2369.3 MB) with weight 725102262 (145.05/col) Thu Jun 18 16:07:36 2026 sparse part has weight 561097663 (112.24/col) Thu Jun 18 16:07:36 2026 saving the first 240 matrix rows for later Thu Jun 18 16:07:39 2026 matrix includes 256 packed rows Thu Jun 18 16:07:42 2026 matrix is 4998704 x 4999122 (2137.2 MB) with weight 512852564 (102.59/col) Thu Jun 18 16:07:42 2026 sparse part has weight 480268827 (96.07/col) Thu Jun 18 16:07:42 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Thu Jun 18 16:07:57 2026 commencing Lanczos iteration (64 threads) Thu Jun 18 16:07:57 2026 memory use: 3074.9 MB Thu Jun 18 16:09:00 2026 linear algebra at 0.6%, ETA 2h42m Thu Jun 18 16:09:57 2026 checking every 30000 dimensions, checkpointing every 2370000 dimensions Thu Jun 18 17:50:11 2026 lanczos halted after 19587 iterations (dim = 4998704) Thu Jun 18 17:50:26 2026 recovered 31 nontrivial dependencies Thu Jun 18 17:50:26 2026 BLanczosTime: 6174 Thu Jun 18 17:50:26 2026 Thu Jun 18 17:50:26 2026 commencing square root phase Thu Jun 18 17:50:26 2026 handling dependencies 1 to 64 Thu Jun 18 17:50:26 2026 reading relations for dependency 1 Thu Jun 18 17:50:27 2026 read 2497814 cycles Thu Jun 18 17:50:31 2026 cycles contain 9364634 unique relations Thu Jun 18 17:52:13 2026 read 9364634 relations Thu Jun 18 17:53:12 2026 multiplying 9364634 relations Thu Jun 18 17:54:24 2026 multiply complete, coefficients have about 517.95 million bits Thu Jun 18 17:54:26 2026 initial square root is modulo 1966633309 Thu Jun 18 17:57:26 2026 GCD is 1, no factor found Thu Jun 18 17:57:26 2026 reading relations for dependency 2 Thu Jun 18 17:57:27 2026 read 2499544 cycles Thu Jun 18 17:57:31 2026 cycles contain 9370352 unique relations Thu Jun 18 17:59:25 2026 read 9370352 relations Thu Jun 18 18:00:02 2026 multiplying 9370352 relations Thu Jun 18 18:01:09 2026 multiply complete, coefficients have about 518.27 million bits Thu Jun 18 18:01:11 2026 initial square root is modulo 1992606943 Thu Jun 18 18:04:32 2026 sqrtTime: 846 Thu Jun 18 18:04:32 2026 p78 factor: 212075878561155500214779672811602457225533775298477112627504206574527575277949 Thu Jun 18 18:04:32 2026 p84 factor: 158291593537862661580326610694786063496700219214111079690111263133884993829890762507 Thu Jun 18 18:04:32 2026 elapsed time 01:57:01