Wed Jun 10 19:02:37 2026 Wed Jun 10 19:02:37 2026 Wed Jun 10 19:02:37 2026 Msieve v. 1.54 (SVN unknown) Wed Jun 10 19:02:37 2026 random seeds: bf85fdec 86187635 Wed Jun 10 19:02:37 2026 factoring 162543149576002020381971321314455152301887258227224468931516459358381663650293987334518889298185107155452352117444137127649205739055947443737251164558552791092369 (162 digits) Wed Jun 10 19:02:38 2026 no P-1/P+1/ECM available, skipping Wed Jun 10 19:02:38 2026 commencing number field sieve (162-digit input) Wed Jun 10 19:02:38 2026 R0: -49621509642103287564080048598245 Wed Jun 10 19:02:38 2026 R1: 234773901633046222049 Wed Jun 10 19:02:38 2026 A0: 161128751534250832405132324402543270902 Wed Jun 10 19:02:38 2026 A1: -19303559316338040083412123794323 Wed Jun 10 19:02:38 2026 A2: -5722386186860007488633691 Wed Jun 10 19:02:38 2026 A3: 36287020253064048 Wed Jun 10 19:02:38 2026 A4: 118316468934 Wed Jun 10 19:02:38 2026 A5: 1080 Wed Jun 10 19:02:38 2026 skew 8963248.55, size 1.533e-15, alpha -5.913, combined = 1.501e-12 rroots = 1 Wed Jun 10 19:02:38 2026 Wed Jun 10 19:02:38 2026 commencing relation filtering Wed Jun 10 19:02:38 2026 setting target matrix density to 100.0 Wed Jun 10 19:02:38 2026 estimated available RAM is 7902.4 MB Wed Jun 10 19:02:38 2026 commencing duplicate removal, pass 1 Wed Jun 10 19:16:39 2026 error -15 reading relation 100011589 Wed Jun 10 19:16:39 2026 error -15 reading relation 100035420 Wed Jun 10 19:18:30 2026 found 5632529 hash collisions in 113860610 relations Wed Jun 10 19:19:07 2026 added 122087 free relations Wed Jun 10 19:19:07 2026 commencing duplicate removal, pass 2 Wed Jun 10 19:19:58 2026 found 8 duplicates and 113982689 unique relations Wed Jun 10 19:19:58 2026 memory use: 378.4 MB Wed Jun 10 19:19:58 2026 reading ideals above 83951616 Wed Jun 10 19:19:58 2026 commencing singleton removal, initial pass Wed Jun 10 19:31:29 2026 memory use: 2756.0 MB Wed Jun 10 19:31:29 2026 reading all ideals from disk Wed Jun 10 19:31:35 2026 memory use: 1847.5 MB Wed Jun 10 19:31:40 2026 commencing in-memory singleton removal Wed Jun 10 19:31:44 2026 begin with 113982689 relations and 103430626 unique ideals Wed Jun 10 19:32:24 2026 reduce to 55924693 relations and 37383449 ideals in 15 passes Wed Jun 10 19:32:24 2026 max relations containing the same ideal: 34 Wed Jun 10 19:32:28 2026 reading ideals above 720000 Wed Jun 10 19:32:28 2026 commencing singleton removal, initial pass Wed Jun 10 19:40:17 2026 memory use: 1378.0 MB Wed Jun 10 19:40:17 2026 reading all ideals from disk Wed Jun 10 19:40:22 2026 memory use: 2038.7 MB Wed Jun 10 19:40:28 2026 keeping 46834803 ideals with weight <= 200, target excess is 309481 Wed Jun 10 19:40:35 2026 commencing in-memory singleton removal Wed Jun 10 19:40:40 2026 begin with 55924693 relations and 46834803 unique ideals Wed Jun 10 19:41:38 2026 reduce to 55828824 relations and 46738908 ideals in 12 passes Wed Jun 10 19:41:38 2026 max relations containing the same ideal: 200 Wed Jun 10 19:42:08 2026 removing 6316058 relations and 5316058 ideals in 1000000 cliques Wed Jun 10 19:42:11 2026 commencing in-memory singleton removal Wed Jun 10 19:42:15 2026 begin with 49512766 relations and 46738908 unique ideals Wed Jun 10 19:42:52 2026 reduce to 49008384 relations and 40906995 ideals in 9 passes Wed Jun 10 19:42:52 2026 max relations containing the same ideal: 191 Wed Jun 10 19:43:18 2026 removing 4749266 relations and 3749266 ideals in 1000000 cliques Wed Jun 10 19:43:21 2026 commencing in-memory singleton removal Wed Jun 10 19:43:24 2026 begin with 44259118 relations and 40906995 unique ideals Wed Jun 10 19:43:56 2026 reduce to 43925774 relations and 36817514 ideals in 9 passes Wed Jun 10 19:43:56 2026 max relations containing the same ideal: 180 Wed Jun 10 19:44:18 2026 removing 4261809 relations and 3261809 ideals in 1000000 cliques Wed Jun 10 19:44:20 2026 commencing in-memory singleton removal Wed Jun 10 19:44:23 2026 begin with 39663965 relations and 36817514 unique ideals Wed Jun 10 19:44:46 2026 reduce to 39368075 relations and 33253694 ideals in 8 passes Wed Jun 10 19:44:46 2026 max relations containing the same ideal: 166 Wed Jun 10 19:45:04 2026 removing 4006159 relations and 3006159 ideals in 1000000 cliques Wed Jun 10 19:45:06 2026 commencing in-memory singleton removal Wed Jun 10 19:45:09 2026 begin with 35361916 relations and 33253694 unique ideals Wed Jun 10 19:45:27 2026 reduce to 35077098 relations and 29956208 ideals in 7 passes Wed Jun 10 19:45:27 2026 max relations containing the same ideal: 152 Wed Jun 10 19:45:44 2026 removing 3838637 relations and 2838637 ideals in 1000000 cliques Wed Jun 10 19:45:46 2026 commencing in-memory singleton removal Wed Jun 10 19:45:48 2026 begin with 31238461 relations and 29956208 unique ideals Wed Jun 10 19:46:05 2026 reduce to 30957125 relations and 26829163 ideals in 8 passes Wed Jun 10 19:46:05 2026 max relations containing the same ideal: 141 Wed Jun 10 19:46:21 2026 removing 3715075 relations and 2715075 ideals in 1000000 cliques Wed Jun 10 19:46:22 2026 commencing in-memory singleton removal Wed Jun 10 19:46:24 2026 begin with 27242050 relations and 26829163 unique ideals Wed Jun 10 19:46:39 2026 reduce to 26953739 relations and 23817716 ideals in 8 passes Wed Jun 10 19:46:39 2026 max relations containing the same ideal: 131 Wed Jun 10 19:46:52 2026 removing 3619162 relations and 2619162 ideals in 1000000 cliques Wed Jun 10 19:46:54 2026 commencing in-memory singleton removal Wed Jun 10 19:46:55 2026 begin with 23334577 relations and 23817716 unique ideals Wed Jun 10 19:47:06 2026 reduce to 23033487 relations and 20887897 ideals in 7 passes Wed Jun 10 19:47:06 2026 max relations containing the same ideal: 114 Wed Jun 10 19:47:17 2026 removing 3534918 relations and 2534918 ideals in 1000000 cliques Wed Jun 10 19:47:18 2026 commencing in-memory singleton removal Wed Jun 10 19:47:20 2026 begin with 19498569 relations and 20887897 unique ideals Wed Jun 10 19:47:29 2026 reduce to 19170608 relations and 18013236 ideals in 7 passes Wed Jun 10 19:47:29 2026 max relations containing the same ideal: 103 Wed Jun 10 19:47:37 2026 removing 2886729 relations and 2088355 ideals in 798374 cliques Wed Jun 10 19:47:38 2026 commencing in-memory singleton removal Wed Jun 10 19:47:39 2026 begin with 16283879 relations and 18013236 unique ideals Wed Jun 10 19:47:47 2026 reduce to 16027778 relations and 15659796 ideals in 7 passes Wed Jun 10 19:47:47 2026 max relations containing the same ideal: 88 Wed Jun 10 19:47:54 2026 removing 66650 relations and 57666 ideals in 8984 cliques Wed Jun 10 19:47:55 2026 commencing in-memory singleton removal Wed Jun 10 19:47:56 2026 begin with 15961128 relations and 15659796 unique ideals Wed Jun 10 19:48:00 2026 reduce to 15961020 relations and 15602022 ideals in 4 passes Wed Jun 10 19:48:00 2026 max relations containing the same ideal: 88 Wed Jun 10 19:48:03 2026 relations with 0 large ideals: 1113 Wed Jun 10 19:48:03 2026 relations with 1 large ideals: 2777 Wed Jun 10 19:48:03 2026 relations with 2 large ideals: 48592 Wed Jun 10 19:48:03 2026 relations with 3 large ideals: 363001 Wed Jun 10 19:48:03 2026 relations with 4 large ideals: 1423855 Wed Jun 10 19:48:03 2026 relations with 5 large ideals: 3225924 Wed Jun 10 19:48:03 2026 relations with 6 large ideals: 4461417 Wed Jun 10 19:48:03 2026 relations with 7+ large ideals: 6434341 Wed Jun 10 19:48:03 2026 commencing 2-way merge Wed Jun 10 19:48:12 2026 reduce to 10143347 relation sets and 9784349 unique ideals Wed Jun 10 19:48:12 2026 commencing full merge Wed Jun 10 19:51:14 2026 memory use: 1230.2 MB Wed Jun 10 19:51:15 2026 found 4944144 cycles, need 4898549 Wed Jun 10 19:51:17 2026 weight of 4898549 cycles is about 490357152 (100.10/cycle) Wed Jun 10 19:51:17 2026 distribution of cycle lengths: Wed Jun 10 19:51:17 2026 1 relations: 194614 Wed Jun 10 19:51:17 2026 2 relations: 367298 Wed Jun 10 19:51:17 2026 3 relations: 449916 Wed Jun 10 19:51:17 2026 4 relations: 462810 Wed Jun 10 19:51:17 2026 5 relations: 468988 Wed Jun 10 19:51:17 2026 6 relations: 450972 Wed Jun 10 19:51:17 2026 7 relations: 426363 Wed Jun 10 19:51:17 2026 8 relations: 386992 Wed Jun 10 19:51:17 2026 9 relations: 342328 Wed Jun 10 19:51:17 2026 10+ relations: 1348268 Wed Jun 10 19:51:17 2026 heaviest cycle: 23 relations Wed Jun 10 19:51:19 2026 commencing cycle optimization Wed Jun 10 19:51:28 2026 start with 35706188 relations Wed Jun 10 19:52:31 2026 pruned 1283180 relations Wed Jun 10 19:52:32 2026 memory use: 1036.2 MB Wed Jun 10 19:52:32 2026 distribution of cycle lengths: Wed Jun 10 19:52:32 2026 1 relations: 194614 Wed Jun 10 19:52:32 2026 2 relations: 377063 Wed Jun 10 19:52:32 2026 3 relations: 469331 Wed Jun 10 19:52:32 2026 4 relations: 480628 Wed Jun 10 19:52:32 2026 5 relations: 489178 Wed Jun 10 19:52:32 2026 6 relations: 467907 Wed Jun 10 19:52:32 2026 7 relations: 442302 Wed Jun 10 19:52:32 2026 8 relations: 397923 Wed Jun 10 19:52:32 2026 9 relations: 348150 Wed Jun 10 19:52:32 2026 10+ relations: 1231453 Wed Jun 10 19:52:32 2026 heaviest cycle: 23 relations Wed Jun 10 19:52:42 2026 RelProcTime: 3004 Wed Jun 10 19:52:42 2026 elapsed time 00:50:05 Wed Jun 10 19:53:54 2026 Wed Jun 10 19:53:54 2026 Wed Jun 10 19:53:54 2026 Msieve v. 1.54 (SVN unknown) Wed Jun 10 19:53:54 2026 random seeds: 6b41863f 09e69619 Wed Jun 10 19:53:54 2026 factoring 162543149576002020381971321314455152301887258227224468931516459358381663650293987334518889298185107155452352117444137127649205739055947443737251164558552791092369 (162 digits) Wed Jun 10 19:53:54 2026 no P-1/P+1/ECM available, skipping Wed Jun 10 19:53:54 2026 commencing number field sieve (162-digit input) Wed Jun 10 19:53:54 2026 R0: -49621509642103287564080048598245 Wed Jun 10 19:53:54 2026 R1: 234773901633046222049 Wed Jun 10 19:53:54 2026 A0: 161128751534250832405132324402543270902 Wed Jun 10 19:53:54 2026 A1: -19303559316338040083412123794323 Wed Jun 10 19:53:54 2026 A2: -5722386186860007488633691 Wed Jun 10 19:53:54 2026 A3: 36287020253064048 Wed Jun 10 19:53:54 2026 A4: 118316468934 Wed Jun 10 19:53:54 2026 A5: 1080 Wed Jun 10 19:53:54 2026 skew 8963248.55, size 1.533e-15, alpha -5.913, combined = 1.501e-12 rroots = 1 Wed Jun 10 19:53:54 2026 Wed Jun 10 19:53:54 2026 commencing linear algebra Wed Jun 10 19:53:54 2026 using VBITS=512 Wed Jun 10 19:53:55 2026 read 4898549 cycles Wed Jun 10 19:54:05 2026 cycles contain 15756417 unique relations Wed Jun 10 19:55:38 2026 read 15756417 relations Wed Jun 10 19:56:04 2026 using 20 quadratic characters above 4294917295 Wed Jun 10 19:57:23 2026 building initial matrix Wed Jun 10 20:00:57 2026 memory use: 2137.6 MB Wed Jun 10 20:01:02 2026 read 4898549 cycles Wed Jun 10 20:01:03 2026 matrix is 4898372 x 4898549 (1991.2 MB) with weight 610703412 (124.67/col) Wed Jun 10 20:01:03 2026 sparse part has weight 463194330 (94.56/col) Wed Jun 10 20:02:02 2026 filtering completed in 2 passes Wed Jun 10 20:02:03 2026 matrix is 4898109 x 4898284 (1991.2 MB) with weight 610692631 (124.67/col) Wed Jun 10 20:02:03 2026 sparse part has weight 463191539 (94.56/col) Wed Jun 10 20:02:23 2026 matrix starts at (0, 0) Wed Jun 10 20:02:24 2026 matrix is 4898109 x 4898284 (1991.2 MB) with weight 610692631 (124.67/col) Wed Jun 10 20:02:24 2026 sparse part has weight 463191539 (94.56/col) Wed Jun 10 20:02:24 2026 saving the first 496 matrix rows for later Wed Jun 10 20:02:25 2026 matrix includes 512 packed rows Wed Jun 10 20:02:30 2026 matrix is 4897613 x 4898284 (1848.9 MB) with weight 391554917 (79.94/col) Wed Jun 10 20:02:30 2026 sparse part has weight 367107237 (74.95/col) Wed Jun 10 20:02:31 2026 using GPU 0 (NVIDIA GeForce RTX 3060) Wed Jun 10 20:02:31 2026 selected card has CUDA arch 8.6 Wed Jun 10 20:08:02 2026 Wed Jun 10 20:08:02 2026 Wed Jun 10 20:08:02 2026 Msieve v. 1.54 (SVN unknown) Wed Jun 10 20:08:02 2026 random seeds: fc35e038 a4ad3b98 Wed Jun 10 20:08:02 2026 factoring 162543149576002020381971321314455152301887258227224468931516459358381663650293987334518889298185107155452352117444137127649205739055947443737251164558552791092369 (162 digits) Wed Jun 10 20:08:03 2026 no P-1/P+1/ECM available, skipping Wed Jun 10 20:08:03 2026 commencing number field sieve (162-digit input) Wed Jun 10 20:08:03 2026 R0: -49621509642103287564080048598245 Wed Jun 10 20:08:03 2026 R1: 234773901633046222049 Wed Jun 10 20:08:03 2026 A0: 161128751534250832405132324402543270902 Wed Jun 10 20:08:03 2026 A1: -19303559316338040083412123794323 Wed Jun 10 20:08:03 2026 A2: -5722386186860007488633691 Wed Jun 10 20:08:03 2026 A3: 36287020253064048 Wed Jun 10 20:08:03 2026 A4: 118316468934 Wed Jun 10 20:08:03 2026 A5: 1080 Wed Jun 10 20:08:03 2026 skew 8963248.55, size 1.533e-15, alpha -5.913, combined = 1.501e-12 rroots = 1 Wed Jun 10 20:08:03 2026 Wed Jun 10 20:08:03 2026 commencing linear algebra Wed Jun 10 20:08:03 2026 using VBITS=512 Wed Jun 10 20:08:03 2026 skipping matrix build Wed Jun 10 20:08:08 2026 matrix starts at (0, 0) Wed Jun 10 20:08:09 2026 matrix is 4898109 x 4898284 (1991.2 MB) with weight 610692631 (124.67/col) Wed Jun 10 20:08:09 2026 sparse part has weight 463191539 (94.56/col) Wed Jun 10 20:08:09 2026 saving the first 496 matrix rows for later Wed Jun 10 20:08:10 2026 matrix includes 512 packed rows Wed Jun 10 20:08:14 2026 matrix is 4897613 x 4898284 (1848.9 MB) with weight 391554917 (79.94/col) Wed Jun 10 20:08:14 2026 sparse part has weight 367107237 (74.95/col) Wed Jun 10 20:08:14 2026 using GPU 0 (NVIDIA GeForce RTX 3060) Wed Jun 10 20:08:14 2026 selected card has CUDA arch 8.6 Wed Jun 10 20:08:49 2026 commencing Lanczos iteration Wed Jun 10 20:08:50 2026 memory use: 5342.1 MB Wed Jun 10 20:09:07 2026 linear algebra at 0.3%, ETA 1h24m Wed Jun 10 20:09:08 2026 checkpointing every 3360000 dimensions Wed Jun 10 21:36:17 2026 lanczos halted after 9581 iterations (dim = 4897610) Wed Jun 10 21:37:48 2026 recovered 28 nontrivial dependencies Wed Jun 10 21:37:48 2026 BLanczosTime: 5385 Wed Jun 10 21:37:48 2026 Wed Jun 10 21:37:48 2026 commencing square root phase Wed Jun 10 21:37:48 2026 handling dependencies 1 to 64 Wed Jun 10 21:37:48 2026 reading relations for dependency 1 Wed Jun 10 21:37:50 2026 read 2447941 cycles Wed Jun 10 21:37:54 2026 cycles contain 7876832 unique relations Wed Jun 10 21:39:04 2026 read 7876832 relations Wed Jun 10 21:39:43 2026 multiplying 7876832 relations Wed Jun 10 21:46:39 2026 multiply complete, coefficients have about 382.10 million bits Wed Jun 10 21:46:42 2026 initial square root is modulo 7180673 Wed Jun 10 21:55:51 2026 GCD is N, no factor found Wed Jun 10 21:55:51 2026 reading relations for dependency 2 Wed Jun 10 21:55:52 2026 read 2451669 cycles Wed Jun 10 21:55:56 2026 cycles contain 7885148 unique relations Wed Jun 10 21:56:59 2026 read 7885148 relations Wed Jun 10 21:57:40 2026 multiplying 7885148 relations Wed Jun 10 22:05:14 2026 multiply complete, coefficients have about 382.51 million bits Wed Jun 10 22:05:17 2026 initial square root is modulo 7301729 Wed Jun 10 22:14:21 2026 sqrtTime: 2193 Wed Jun 10 22:14:21 2026 p55 factor: 7133549082338158984343838787410158915110300177780202567 Wed Jun 10 22:14:21 2026 p107 factor: 22785733678967742164273005056332707535965462130360440044396063068066370699883012747056830078095515518383207 Wed Jun 10 22:14:21 2026 elapsed time 02:06:19