Sun Jul 5 17:33:38 2026 Sun Jul 5 17:33:38 2026 Sun Jul 5 17:33:38 2026 Msieve v. 1.54 (SVN Unversioned directory) Sun Jul 5 17:33:38 2026 random seeds: c40ab4cf db4a44a3 Sun Jul 5 17:33:38 2026 MPI process 0 of 1 Sun Jul 5 17:33:38 2026 Using 32 OpenMP threads Sun Jul 5 17:33:38 2026 factoring 238577924747570299975896583212009166297277027149812878520676548171913985299165965055402147614397018701119570450323216843773749110746357487366217263987072644746630505563 (168 digits) Sun Jul 5 17:33:38 2026 searching for 15-digit factors Sun Jul 5 17:33:39 2026 commencing number field sieve (168-digit input) Sun Jul 5 17:33:39 2026 R0: -159354648133008447622407180864939 Sun Jul 5 17:33:39 2026 R1: 72982714575441632250868123 Sun Jul 5 17:33:39 2026 A0: 1471336680262365951434232012449970600 Sun Jul 5 17:33:39 2026 A1: -12333208515942258364869989465135 Sun Jul 5 17:33:39 2026 A2: 3363905390884025739041889 Sun Jul 5 17:33:39 2026 A3: 65342083705251250268 Sun Jul 5 17:33:39 2026 A4: -548086087776 Sun Jul 5 17:33:39 2026 A5: 665280 Sun Jul 5 17:33:39 2026 skew 901494.69, size 3.884e-16, alpha -6.425, combined = 6.749e-13 rroots = 3 Sun Jul 5 17:33:39 2026 Sun Jul 5 17:33:39 2026 commencing relation filtering Sun Jul 5 17:33:39 2026 setting target matrix density to 120.0 Sun Jul 5 17:33:39 2026 estimated available RAM is 257736.5 MB Sun Jul 5 17:33:39 2026 commencing duplicate removal, pass 1 Sun Jul 5 17:41:04 2026 error -1 reading relation 131380414 Sun Jul 5 17:42:38 2026 error -1 reading relation 163066212 Sun Jul 5 17:43:09 2026 error -1 reading relation 172840071 Sun Jul 5 17:45:36 2026 error -15 reading relation 218850461 Sun Jul 5 17:50:06 2026 skipped 1 relations with composite factors Sun Jul 5 17:50:06 2026 skipped 51 malformed relations Sun Jul 5 17:50:06 2026 found 49514934 hash collisions in 300459471 relations Sun Jul 5 17:50:47 2026 added 121901 free relations Sun Jul 5 17:50:47 2026 commencing duplicate removal, pass 2 Sun Jul 5 18:02:48 2026 found 49067723 duplicates and 251513649 unique relations Sun Jul 5 18:02:48 2026 memory use: 1705.5 MB Sun Jul 5 18:02:49 2026 reading ideals above 720000 Sun Jul 5 18:02:49 2026 commencing singleton removal, initial pass Sun Jul 5 18:48:13 2026 memory use: 6024.0 MB Sun Jul 5 18:48:14 2026 reading all ideals from disk Sun Jul 5 18:48:24 2026 memory use: 11641.4 MB Sun Jul 5 18:49:40 2026 keeping 239259807 ideals with weight <= 200, target excess is 1195686 Sun Jul 5 18:51:13 2026 commencing in-memory singleton removal Sun Jul 5 18:51:22 2026 begin with 251513649 relations and 239259807 unique ideals Sun Jul 5 18:51:52 2026 reduce to 144540888 relations and 119688634 ideals in 18 passes Sun Jul 5 18:51:52 2026 max relations containing the same ideal: 150 Sun Jul 5 18:54:12 2026 removing 12664317 relations and 10664317 ideals in 2000000 cliques Sun Jul 5 18:54:22 2026 commencing in-memory singleton removal Sun Jul 5 18:54:26 2026 begin with 131876571 relations and 119688634 unique ideals Sun Jul 5 18:54:36 2026 reduce to 130992233 relations and 108123777 ideals in 8 passes Sun Jul 5 18:54:36 2026 max relations containing the same ideal: 140 Sun Jul 5 18:56:43 2026 removing 9583229 relations and 7583229 ideals in 2000000 cliques Sun Jul 5 18:56:51 2026 commencing in-memory singleton removal Sun Jul 5 18:56:54 2026 begin with 121409004 relations and 108123777 unique ideals Sun Jul 5 18:57:04 2026 reduce to 120828231 relations and 99950542 ideals in 8 passes Sun Jul 5 18:57:04 2026 max relations containing the same ideal: 132 Sun Jul 5 18:59:11 2026 removing 8641419 relations and 6641419 ideals in 2000000 cliques Sun Jul 5 18:59:19 2026 commencing in-memory singleton removal Sun Jul 5 18:59:22 2026 begin with 112186812 relations and 99950542 unique ideals Sun Jul 5 18:59:32 2026 reduce to 111672269 relations and 92786441 ideals in 8 passes Sun Jul 5 18:59:32 2026 max relations containing the same ideal: 125 Sun Jul 5 19:01:19 2026 removing 8166005 relations and 6166005 ideals in 2000000 cliques Sun Jul 5 19:01:26 2026 commencing in-memory singleton removal Sun Jul 5 19:01:28 2026 begin with 103506264 relations and 92786441 unique ideals Sun Jul 5 19:01:37 2026 reduce to 103014466 relations and 86120480 ideals in 8 passes Sun Jul 5 19:01:37 2026 max relations containing the same ideal: 117 Sun Jul 5 19:03:20 2026 removing 7873945 relations and 5873945 ideals in 2000000 cliques Sun Jul 5 19:03:27 2026 commencing in-memory singleton removal Sun Jul 5 19:03:30 2026 begin with 95140521 relations and 86120480 unique ideals Sun Jul 5 19:03:37 2026 reduce to 94648771 relations and 79746149 ideals in 7 passes Sun Jul 5 19:03:37 2026 max relations containing the same ideal: 112 Sun Jul 5 19:05:12 2026 removing 7692592 relations and 5692592 ideals in 2000000 cliques Sun Jul 5 19:05:19 2026 commencing in-memory singleton removal Sun Jul 5 19:05:21 2026 begin with 86956179 relations and 79746149 unique ideals Sun Jul 5 19:05:28 2026 reduce to 86450637 relations and 73538320 ideals in 7 passes Sun Jul 5 19:05:28 2026 max relations containing the same ideal: 108 Sun Jul 5 19:07:01 2026 removing 7580854 relations and 5580854 ideals in 2000000 cliques Sun Jul 5 19:07:07 2026 commencing in-memory singleton removal Sun Jul 5 19:07:10 2026 begin with 78869783 relations and 73538320 unique ideals Sun Jul 5 19:07:16 2026 reduce to 78335041 relations and 67411622 ideals in 8 passes Sun Jul 5 19:07:16 2026 max relations containing the same ideal: 99 Sun Jul 5 19:08:36 2026 removing 7521533 relations and 5521533 ideals in 2000000 cliques Sun Jul 5 19:08:42 2026 commencing in-memory singleton removal Sun Jul 5 19:08:44 2026 begin with 70813508 relations and 67411622 unique ideals Sun Jul 5 19:08:49 2026 reduce to 70235585 relations and 61299133 ideals in 8 passes Sun Jul 5 19:08:49 2026 max relations containing the same ideal: 91 Sun Jul 5 19:10:02 2026 removing 7515086 relations and 5515086 ideals in 2000000 cliques Sun Jul 5 19:10:08 2026 commencing in-memory singleton removal Sun Jul 5 19:10:09 2026 begin with 62720499 relations and 61299133 unique ideals Sun Jul 5 19:10:14 2026 reduce to 62072724 relations and 55120175 ideals in 8 passes Sun Jul 5 19:10:14 2026 max relations containing the same ideal: 82 Sun Jul 5 19:11:19 2026 removing 7560199 relations and 5560199 ideals in 2000000 cliques Sun Jul 5 19:11:24 2026 commencing in-memory singleton removal Sun Jul 5 19:11:25 2026 begin with 54512525 relations and 55120175 unique ideals Sun Jul 5 19:11:30 2026 reduce to 53768417 relations and 48794803 ideals in 9 passes Sun Jul 5 19:11:30 2026 max relations containing the same ideal: 76 Sun Jul 5 19:12:22 2026 removing 7653673 relations and 5653673 ideals in 2000000 cliques Sun Jul 5 19:12:27 2026 commencing in-memory singleton removal Sun Jul 5 19:12:28 2026 begin with 46114744 relations and 48794803 unique ideals Sun Jul 5 19:12:31 2026 reduce to 45211192 relations and 42208384 ideals in 9 passes Sun Jul 5 19:12:31 2026 max relations containing the same ideal: 68 Sun Jul 5 19:13:17 2026 removing 6635464 relations and 5019652 ideals in 1615812 cliques Sun Jul 5 19:13:21 2026 commencing in-memory singleton removal Sun Jul 5 19:13:22 2026 begin with 38575728 relations and 42208384 unique ideals Sun Jul 5 19:13:25 2026 reduce to 37756908 relations and 36343978 ideals in 10 passes Sun Jul 5 19:13:25 2026 max relations containing the same ideal: 63 Sun Jul 5 19:14:05 2026 removing 235412 relations and 209478 ideals in 25934 cliques Sun Jul 5 19:14:08 2026 commencing in-memory singleton removal Sun Jul 5 19:14:08 2026 begin with 37521496 relations and 36343978 unique ideals Sun Jul 5 19:14:10 2026 reduce to 37520574 relations and 36133577 ideals in 5 passes Sun Jul 5 19:14:10 2026 max relations containing the same ideal: 62 Sun Jul 5 19:14:18 2026 relations with 0 large ideals: 4317 Sun Jul 5 19:14:18 2026 relations with 1 large ideals: 38234 Sun Jul 5 19:14:18 2026 relations with 2 large ideals: 478347 Sun Jul 5 19:14:18 2026 relations with 3 large ideals: 2445284 Sun Jul 5 19:14:18 2026 relations with 4 large ideals: 6607396 Sun Jul 5 19:14:18 2026 relations with 5 large ideals: 10341676 Sun Jul 5 19:14:18 2026 relations with 6 large ideals: 9802555 Sun Jul 5 19:14:18 2026 relations with 7+ large ideals: 7802765 Sun Jul 5 19:14:18 2026 commencing 2-way merge Sun Jul 5 19:15:12 2026 reduce to 22437167 relation sets and 21050170 unique ideals Sun Jul 5 19:15:13 2026 commencing full merge Sun Jul 5 19:33:08 2026 memory use: 2506.0 MB Sun Jul 5 19:33:13 2026 found 9718660 cycles, need 9660370 Sun Jul 5 19:33:18 2026 weight of 9660370 cycles is about 1159330072 (120.01/cycle) Sun Jul 5 19:33:18 2026 distribution of cycle lengths: Sun Jul 5 19:33:18 2026 1 relations: 726547 Sun Jul 5 19:33:18 2026 2 relations: 663971 Sun Jul 5 19:33:18 2026 3 relations: 662651 Sun Jul 5 19:33:18 2026 4 relations: 646780 Sun Jul 5 19:33:18 2026 5 relations: 647921 Sun Jul 5 19:33:18 2026 6 relations: 627494 Sun Jul 5 19:33:18 2026 7 relations: 620277 Sun Jul 5 19:33:18 2026 8 relations: 589970 Sun Jul 5 19:33:18 2026 9 relations: 563641 Sun Jul 5 19:33:18 2026 10+ relations: 3911118 Sun Jul 5 19:33:18 2026 heaviest cycle: 28 relations Sun Jul 5 19:33:25 2026 commencing cycle optimization Sun Jul 5 19:34:18 2026 start with 85821076 relations Sun Jul 5 19:41:10 2026 pruned 3443686 relations Sun Jul 5 19:41:10 2026 memory use: 2388.0 MB Sun Jul 5 19:41:10 2026 distribution of cycle lengths: Sun Jul 5 19:41:10 2026 1 relations: 726547 Sun Jul 5 19:41:10 2026 2 relations: 680539 Sun Jul 5 19:41:10 2026 3 relations: 688707 Sun Jul 5 19:41:10 2026 4 relations: 670243 Sun Jul 5 19:41:10 2026 5 relations: 674406 Sun Jul 5 19:41:10 2026 6 relations: 653740 Sun Jul 5 19:41:10 2026 7 relations: 646657 Sun Jul 5 19:41:10 2026 8 relations: 614024 Sun Jul 5 19:41:10 2026 9 relations: 586772 Sun Jul 5 19:41:10 2026 10+ relations: 3718735 Sun Jul 5 19:41:10 2026 heaviest cycle: 28 relations Sun Jul 5 19:41:47 2026 RelProcTime: 7688 Sun Jul 5 19:41:48 2026 Sun Jul 5 19:41:48 2026 commencing linear algebra Sun Jul 5 19:41:48 2026 using VBITS=256 Sun Jul 5 19:41:48 2026 stopping after matrix build Sun Jul 5 19:41:48 2026 initialized process (0,0) of 1 x 1 grid Sun Jul 5 19:41:50 2026 read 9660370 cycles Sun Jul 5 19:42:37 2026 cycles contain 36526306 unique relations Sun Jul 5 19:50:15 2026 read 36526306 relations Sun Jul 5 19:50:20 2026 using 20 quadratic characters above 4294917295 Sun Jul 5 19:50:27 2026 building initial matrix Sun Jul 5 20:08:57 2026 memory use: 4807.9 MB Sun Jul 5 20:09:12 2026 read 9660370 cycles Sun Jul 5 20:09:15 2026 matrix is 9660192 x 9660370 (4523.8 MB) with weight 1368823488 (141.69/col) Sun Jul 5 20:09:15 2026 sparse part has weight 1079621021 (111.76/col) Sun Jul 5 20:14:47 2026 filtering completed in 2 passes Sun Jul 5 20:14:52 2026 matrix is 9659222 x 9659398 (4523.7 MB) with weight 1368775646 (141.70/col) Sun Jul 5 20:14:52 2026 sparse part has weight 1079604994 (111.77/col) Sun Jul 5 20:16:15 2026 BLanczosTime: 2067 Sun Jul 5 20:16:15 2026 elapsed time 02:42:37 Sun Jul 5 20:18:16 2026 Sun Jul 5 20:18:16 2026 Sun Jul 5 20:18:16 2026 Msieve v. 1.54 (SVN Unversioned directory) Sun Jul 5 20:18:16 2026 random seeds: 48b3fe5f 8ab0bf8d Sun Jul 5 20:18:16 2026 MPI process 0 of 1 Sun Jul 5 20:18:16 2026 Using 64 OpenMP threads Sun Jul 5 20:18:16 2026 factoring 238577924747570299975896583212009166297277027149812878520676548171913985299165965055402147614397018701119570450323216843773749110746357487366217263987072644746630505563 (168 digits) Sun Jul 5 20:18:17 2026 searching for 15-digit factors Sun Jul 5 20:18:17 2026 commencing number field sieve (168-digit input) Sun Jul 5 20:18:17 2026 R0: -159354648133008447622407180864939 Sun Jul 5 20:18:17 2026 R1: 72982714575441632250868123 Sun Jul 5 20:18:17 2026 A0: 1471336680262365951434232012449970600 Sun Jul 5 20:18:17 2026 A1: -12333208515942258364869989465135 Sun Jul 5 20:18:17 2026 A2: 3363905390884025739041889 Sun Jul 5 20:18:17 2026 A3: 65342083705251250268 Sun Jul 5 20:18:17 2026 A4: -548086087776 Sun Jul 5 20:18:17 2026 A5: 665280 Sun Jul 5 20:18:17 2026 skew 901494.69, size 3.884e-16, alpha -6.425, combined = 6.749e-13 rroots = 3 Sun Jul 5 20:18:17 2026 Sun Jul 5 20:18:17 2026 commencing linear algebra Sun Jul 5 20:18:17 2026 using VBITS=256 Sun Jul 5 20:18:17 2026 skipping matrix build Sun Jul 5 20:18:17 2026 initialized process (0,0) of 1 x 1 grid Sun Jul 5 20:18:27 2026 matrix starts at (0, 0) Sun Jul 5 20:18:30 2026 matrix is 9659222 x 9659398 (4523.7 MB) with weight 1368775646 (141.70/col) Sun Jul 5 20:18:30 2026 sparse part has weight 1079604994 (111.77/col) Sun Jul 5 20:18:30 2026 saving the first 240 matrix rows for later Sun Jul 5 20:18:35 2026 matrix includes 256 packed rows Sun Jul 5 20:18:38 2026 matrix is 9658982 x 9659398 (4135.1 MB) with weight 986268854 (102.10/col) Sun Jul 5 20:18:38 2026 sparse part has weight 929448412 (96.22/col) Sun Jul 5 20:18:38 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Sun Jul 5 20:18:59 2026 commencing Lanczos iteration (64 threads) Sun Jul 5 20:18:59 2026 memory use: 5976.3 MB Sun Jul 5 20:20:17 2026 linear algebra at 0.3%, ETA 6h43m Sun Jul 5 20:22:10 2026 checking every 20000 dimensions, checkpointing every 1460000 dimensions Mon Jul 6 02:54:28 2026 lanczos halted after 37846 iterations (dim = 9658980) Mon Jul 6 02:55:09 2026 recovered 29 nontrivial dependencies Mon Jul 6 02:55:10 2026 BLanczosTime: 23813 Mon Jul 6 02:55:10 2026 Mon Jul 6 02:55:10 2026 commencing square root phase Mon Jul 6 02:55:10 2026 handling dependencies 1 to 64 Mon Jul 6 02:55:10 2026 reading relations for dependency 1 Mon Jul 6 02:55:11 2026 read 4826252 cycles Mon Jul 6 02:55:19 2026 cycles contain 18260648 unique relations Mon Jul 6 03:00:49 2026 read 18260648 relations Mon Jul 6 03:03:38 2026 multiplying 18260648 relations Mon Jul 6 03:07:20 2026 multiply complete, coefficients have about 1031.78 million bits Mon Jul 6 03:07:25 2026 initial square root is modulo 1805670127 Mon Jul 6 03:20:31 2026 sqrtTime: 1521 Mon Jul 6 03:20:31 2026 p80 factor: 12761349396414792188963975307024822806993118418534060536542239773558959395490933 Mon Jul 6 03:20:31 2026 p89 factor: 18695352453447989099183337300116734550019323114866175664583267059956947396814049146164111 Mon Jul 6 03:20:31 2026 elapsed time 07:02:15