Mon Jun 15 21:13:39 2026 Mon Jun 15 21:13:39 2026 Mon Jun 15 21:13:39 2026 Msieve v. 1.54 (SVN unknown) Mon Jun 15 21:13:39 2026 random seeds: 00cb21c5 613b0a12 Mon Jun 15 21:13:39 2026 factoring 674205619643590893598147565142329247463752360704298706379562405222986272066936724652968402933801144852460613723112029603477794420291264222060850794970011806081618153549 (168 digits) Mon Jun 15 21:13:40 2026 no P-1/P+1/ECM available, skipping Mon Jun 15 21:13:40 2026 commencing number field sieve (168-digit input) Mon Jun 15 21:13:40 2026 R0: -272616752947551359199351665595052 Mon Jun 15 21:13:40 2026 R1: 20677310716953389144917 Mon Jun 15 21:13:40 2026 A0: 467465268703548763538078172688159607781 Mon Jun 15 21:13:40 2026 A1: 1586923698044391346994716223135607 Mon Jun 15 21:13:40 2026 A2: -151408637355266724889506110 Mon Jun 15 21:13:40 2026 A3: -73036063323140306471 Mon Jun 15 21:13:40 2026 A4: 5857888175805 Mon Jun 15 21:13:40 2026 A5: 447300 Mon Jun 15 21:13:40 2026 skew 5540666.82, size 2.335e-16, alpha -5.741, combined = 4.770e-13 rroots = 5 Mon Jun 15 21:13:40 2026 Mon Jun 15 21:13:40 2026 commencing relation filtering Mon Jun 15 21:13:40 2026 setting target matrix density to 82.0 Mon Jun 15 21:13:40 2026 estimated available RAM is 128742.2 MB Mon Jun 15 21:13:40 2026 commencing duplicate removal, pass 1 Mon Jun 15 22:06:28 2026 skipped 1 relations with b > 2^32 Mon Jun 15 22:06:28 2026 skipped 1 malformed relations Mon Jun 15 22:06:28 2026 found 10564841 hash collisions in 220341048 relations Mon Jun 15 22:07:21 2026 added 121386 free relations Mon Jun 15 22:07:21 2026 commencing duplicate removal, pass 2 Mon Jun 15 22:08:49 2026 found 0 duplicates and 220462434 unique relations Mon Jun 15 22:08:49 2026 memory use: 788.8 MB Mon Jun 15 22:08:49 2026 reading ideals above 720000 Mon Jun 15 22:08:49 2026 commencing singleton removal, initial pass Mon Jun 15 23:05:49 2026 memory use: 6024.0 MB Mon Jun 15 23:05:49 2026 reading all ideals from disk Mon Jun 15 23:05:57 2026 memory use: 10197.2 MB Mon Jun 15 23:06:42 2026 keeping 225878476 ideals with weight <= 200, target excess is 1079946 Mon Jun 15 23:07:38 2026 commencing in-memory singleton removal Mon Jun 15 23:08:42 2026 begin with 220462434 relations and 225878476 unique ideals Mon Jun 15 23:14:46 2026 reduce to 105487372 relations and 94871563 ideals in 20 passes Mon Jun 15 23:14:46 2026 max relations containing the same ideal: 128 Mon Jun 15 23:16:20 2026 removing 8831007 relations and 7831007 ideals in 1000000 cliques Mon Jun 15 23:16:26 2026 commencing in-memory singleton removal Mon Jun 15 23:16:52 2026 begin with 96656365 relations and 94871563 unique ideals Mon Jun 15 23:18:31 2026 reduce to 96037414 relations and 86413306 ideals in 10 passes Mon Jun 15 23:18:31 2026 max relations containing the same ideal: 122 Mon Jun 15 23:19:53 2026 removing 6582545 relations and 5582545 ideals in 1000000 cliques Mon Jun 15 23:19:57 2026 commencing in-memory singleton removal Mon Jun 15 23:20:21 2026 begin with 89454869 relations and 86413306 unique ideals Mon Jun 15 23:21:41 2026 reduce to 89063510 relations and 80434969 ideals in 9 passes Mon Jun 15 23:21:41 2026 max relations containing the same ideal: 117 Mon Jun 15 23:22:56 2026 removing 5888462 relations and 4888462 ideals in 1000000 cliques Mon Jun 15 23:23:01 2026 commencing in-memory singleton removal Mon Jun 15 23:23:23 2026 begin with 83175048 relations and 80434969 unique ideals Mon Jun 15 23:24:34 2026 reduce to 82834984 relations and 75202600 ideals in 8 passes Mon Jun 15 23:24:34 2026 max relations containing the same ideal: 112 Mon Jun 15 23:25:48 2026 removing 5528941 relations and 4528941 ideals in 1000000 cliques Mon Jun 15 23:25:52 2026 commencing in-memory singleton removal Mon Jun 15 23:26:13 2026 begin with 77306043 relations and 75202600 unique ideals Mon Jun 15 23:27:17 2026 reduce to 76981843 relations and 70345639 ideals in 8 passes Mon Jun 15 23:27:17 2026 max relations containing the same ideal: 106 Mon Jun 15 23:28:25 2026 removing 5306805 relations and 4306805 ideals in 1000000 cliques Mon Jun 15 23:28:29 2026 commencing in-memory singleton removal Mon Jun 15 23:28:48 2026 begin with 71675038 relations and 70345639 unique ideals Mon Jun 15 23:29:49 2026 reduce to 71353322 relations and 65713141 ideals in 8 passes Mon Jun 15 23:29:49 2026 max relations containing the same ideal: 104 Mon Jun 15 23:30:51 2026 removing 5170895 relations and 4170895 ideals in 1000000 cliques Mon Jun 15 23:30:55 2026 commencing in-memory singleton removal Mon Jun 15 23:31:12 2026 begin with 66182427 relations and 65713141 unique ideals Mon Jun 15 23:32:06 2026 reduce to 65852457 relations and 61207958 ideals in 8 passes Mon Jun 15 23:32:06 2026 max relations containing the same ideal: 99 Mon Jun 15 23:33:04 2026 removing 5090080 relations and 4090080 ideals in 1000000 cliques Mon Jun 15 23:33:07 2026 commencing in-memory singleton removal Mon Jun 15 23:33:23 2026 begin with 60762377 relations and 61207958 unique ideals Mon Jun 15 23:34:19 2026 reduce to 60414245 relations and 56764995 ideals in 9 passes Mon Jun 15 23:34:19 2026 max relations containing the same ideal: 89 Mon Jun 15 23:35:11 2026 removing 5049796 relations and 4049796 ideals in 1000000 cliques Mon Jun 15 23:35:14 2026 commencing in-memory singleton removal Mon Jun 15 23:35:29 2026 begin with 55364449 relations and 56764995 unique ideals Mon Jun 15 23:36:30 2026 reduce to 54984105 relations and 52329226 ideals in 11 passes Mon Jun 15 23:36:30 2026 max relations containing the same ideal: 84 Mon Jun 15 23:37:18 2026 removing 5052049 relations and 4052049 ideals in 1000000 cliques Mon Jun 15 23:37:21 2026 commencing in-memory singleton removal Mon Jun 15 23:37:34 2026 begin with 49932056 relations and 52329226 unique ideals Mon Jun 15 23:38:24 2026 reduce to 49512084 relations and 47850290 ideals in 10 passes Mon Jun 15 23:38:24 2026 max relations containing the same ideal: 77 Mon Jun 15 23:39:07 2026 removing 2520872 relations and 2111816 ideals in 409056 cliques Mon Jun 15 23:39:10 2026 commencing in-memory singleton removal Mon Jun 15 23:39:22 2026 begin with 46991212 relations and 47850290 unique ideals Mon Jun 15 23:40:05 2026 reduce to 46882611 relations and 45629100 ideals in 9 passes Mon Jun 15 23:40:05 2026 max relations containing the same ideal: 74 Mon Jun 15 23:40:55 2026 relations with 0 large ideals: 3804 Mon Jun 15 23:40:55 2026 relations with 1 large ideals: 29386 Mon Jun 15 23:40:55 2026 relations with 2 large ideals: 393642 Mon Jun 15 23:40:55 2026 relations with 3 large ideals: 2237887 Mon Jun 15 23:40:55 2026 relations with 4 large ideals: 6811117 Mon Jun 15 23:40:55 2026 relations with 5 large ideals: 12142467 Mon Jun 15 23:40:55 2026 relations with 6 large ideals: 13086396 Mon Jun 15 23:40:55 2026 relations with 7+ large ideals: 12177912 Mon Jun 15 23:40:55 2026 commencing 2-way merge Mon Jun 15 23:41:56 2026 reduce to 27678397 relation sets and 26424886 unique ideals Mon Jun 15 23:41:56 2026 commencing full merge Mon Jun 15 23:51:38 2026 memory use: 2908.7 MB Mon Jun 15 23:51:43 2026 found 13688575 cycles, need 13521086 Mon Jun 15 23:51:50 2026 weight of 13521086 cycles is about 1108815209 (82.01/cycle) Mon Jun 15 23:51:50 2026 distribution of cycle lengths: Mon Jun 15 23:51:50 2026 1 relations: 1636001 Mon Jun 15 23:51:50 2026 2 relations: 1422229 Mon Jun 15 23:51:50 2026 3 relations: 1399058 Mon Jun 15 23:51:50 2026 4 relations: 1280999 Mon Jun 15 23:51:50 2026 5 relations: 1223143 Mon Jun 15 23:51:50 2026 6 relations: 1075674 Mon Jun 15 23:51:50 2026 7 relations: 990595 Mon Jun 15 23:51:50 2026 8 relations: 880168 Mon Jun 15 23:51:50 2026 9 relations: 771757 Mon Jun 15 23:51:50 2026 10+ relations: 2841462 Mon Jun 15 23:51:50 2026 heaviest cycle: 22 relations Mon Jun 15 23:51:57 2026 commencing cycle optimization Mon Jun 15 23:52:32 2026 start with 82774904 relations Mon Jun 15 23:55:23 2026 pruned 1849195 relations Mon Jun 15 23:55:25 2026 memory use: 2741.2 MB Mon Jun 15 23:55:25 2026 distribution of cycle lengths: Mon Jun 15 23:55:25 2026 1 relations: 1636001 Mon Jun 15 23:55:25 2026 2 relations: 1453136 Mon Jun 15 23:55:25 2026 3 relations: 1443204 Mon Jun 15 23:55:25 2026 4 relations: 1311128 Mon Jun 15 23:55:25 2026 5 relations: 1249775 Mon Jun 15 23:55:25 2026 6 relations: 1094369 Mon Jun 15 23:55:25 2026 7 relations: 1005084 Mon Jun 15 23:55:25 2026 8 relations: 886081 Mon Jun 15 23:55:25 2026 9 relations: 772043 Mon Jun 15 23:55:25 2026 10+ relations: 2670265 Mon Jun 15 23:55:25 2026 heaviest cycle: 22 relations Mon Jun 15 23:55:57 2026 RelProcTime: 9737 Mon Jun 15 23:55:59 2026 Mon Jun 15 23:55:59 2026 commencing linear algebra Mon Jun 15 23:55:59 2026 using VBITS=128 Mon Jun 15 23:56:02 2026 read 13521086 cycles Mon Jun 15 23:56:37 2026 cycles contain 45917403 unique relations Tue Jun 16 00:04:53 2026 read 45917403 relations Tue Jun 16 00:06:23 2026 using 20 quadratic characters above 4294917295 Tue Jun 16 00:11:24 2026 building initial matrix Tue Jun 16 00:25:05 2026 memory use: 6107.0 MB Tue Jun 16 00:25:16 2026 read 13521086 cycles Tue Jun 16 00:25:19 2026 matrix is 13520903 x 13521086 (4651.5 MB) with weight 1434376494 (106.08/col) Tue Jun 16 00:25:19 2026 sparse part has weight 1070619443 (79.18/col) Tue Jun 16 00:28:56 2026 filtering completed in 2 passes Tue Jun 16 00:29:00 2026 matrix is 13507457 x 13507640 (4650.4 MB) with weight 1433893268 (106.15/col) Tue Jun 16 00:29:00 2026 sparse part has weight 1070496686 (79.25/col) Tue Jun 16 00:30:14 2026 matrix starts at (0, 0) Tue Jun 16 00:30:17 2026 matrix is 13507457 x 13507640 (4650.4 MB) with weight 1433893268 (106.15/col) Tue Jun 16 00:30:17 2026 sparse part has weight 1070496686 (79.25/col) Tue Jun 16 00:30:17 2026 saving the first 112 matrix rows for later Tue Jun 16 00:30:21 2026 matrix includes 128 packed rows Tue Jun 16 00:30:26 2026 matrix is 13507345 x 13507640 (4334.1 MB) with weight 1050863587 (77.80/col) Tue Jun 16 00:30:26 2026 sparse part has weight 974070271 (72.11/col) Tue Jun 16 00:30:27 2026 using GPU 0 (Tesla P100-PCIE-16GB) Tue Jun 16 00:30:27 2026 selected card has CUDA arch 6.0 Tue Jun 16 00:33:22 2026 commencing Lanczos iteration Tue Jun 16 00:33:23 2026 memory use: 9183.5 MB Tue Jun 16 00:34:58 2026 linear algebra at 0.2%, ETA 11h31m Tue Jun 16 00:35:23 2026 checking every 10000 dimensions, checkpointing every 1170000 dimensions Tue Jun 16 12:38:50 2026 lanczos halted after 106161 iterations (dim = 13507344) Tue Jun 16 12:39:27 2026 recovered 28 nontrivial dependencies Tue Jun 16 12:39:28 2026 BLanczosTime: 45809 Tue Jun 16 12:39:28 2026 Tue Jun 16 12:39:28 2026 commencing square root phase Tue Jun 16 12:39:28 2026 handling dependencies 1 to 64 Tue Jun 16 12:39:28 2026 reading relations for dependency 1 Tue Jun 16 12:39:34 2026 read 6754060 cycles Tue Jun 16 12:39:53 2026 cycles contain 22960808 unique relations Tue Jun 16 12:44:37 2026 read 22960808 relations Tue Jun 16 12:47:42 2026 multiplying 22960808 relations Tue Jun 16 13:33:32 2026 multiply complete, coefficients have about 1273.66 million bits Tue Jun 16 13:33:45 2026 initial square root is modulo 516793 Tue Jun 16 14:18:32 2026 sqrtTime: 5944 Tue Jun 16 14:18:32 2026 p68 factor: 16026787994164778532302058463386467227502061268673751201341018368921 Tue Jun 16 14:18:32 2026 p101 factor: 42067419865356901525567132116748376276132808887788206136465399134352070015121158656368583639847738069 Tue Jun 16 14:18:32 2026 elapsed time 17:04:53