Wed Aug 19 11:25:07 2026 Wed Aug 19 11:25:07 2026 Wed Aug 19 11:25:07 2026 Msieve v. 1.54 (SVN unknown) Wed Aug 19 11:25:07 2026 random seeds: 88ca7329 0b6b57ce Wed Aug 19 11:25:07 2026 Using 8 OpenMP threads Wed Aug 19 11:25:07 2026 factoring 6277850300215785335440079870857653921781112156205864960591051220029197064977457988317665258399949570762550126785940036300184929332134711382553952252660750930115481210623739467386362058837306648737 (196 digits) Wed Aug 19 11:25:08 2026 no P-1/P+1/ECM available, skipping Wed Aug 19 11:25:08 2026 commencing number field sieve (196-digit input) Wed Aug 19 11:25:08 2026 R0: 32405942477043271170261520387460760074778241 Wed Aug 19 11:25:08 2026 R1: -1 Wed Aug 19 11:25:08 2026 A0: -75449464927 Wed Aug 19 11:25:08 2026 A1: 0 Wed Aug 19 11:25:08 2026 A2: 0 Wed Aug 19 11:25:08 2026 A3: 0 Wed Aug 19 11:25:08 2026 A4: 0 Wed Aug 19 11:25:08 2026 A5: 1 Wed Aug 19 11:25:08 2026 skew 212.69, size 5.257e-16, alpha -0.293, combined = 8.642e-13 rroots = 1 Wed Aug 19 11:25:08 2026 Wed Aug 19 11:25:08 2026 commencing relation filtering Wed Aug 19 11:25:08 2026 setting 3 target densities:Wed Aug 19 11:25:08 2026 100Wed Aug 19 11:25:08 2026 120Wed Aug 19 11:25:08 2026 140Wed Aug 19 11:25:08 2026 Wed Aug 19 11:25:08 2026 estimated available RAM is 78540.1 MB Wed Aug 19 11:25:08 2026 commencing duplicate removal, pass 1 Wed Aug 19 11:25:23 2026 error -1 reading relation 9006211 Wed Aug 19 11:25:36 2026 error -1 reading relation 19680110 Wed Aug 19 11:26:16 2026 error -15 reading relation 46032530 Wed Aug 19 11:26:16 2026 error -1 reading relation 46642209 Wed Aug 19 11:26:27 2026 error -1 reading relation 52740455 Wed Aug 19 11:26:27 2026 error -1 reading relation 52957555 Wed Aug 19 11:26:31 2026 error -1 reading relation 56009353 Wed Aug 19 11:26:58 2026 error -1 reading relation 74028787 Wed Aug 19 11:27:03 2026 error -1 reading relation 77100482 Wed Aug 19 11:27:24 2026 error -1 reading relation 90951491 Wed Aug 19 11:27:34 2026 error -1 reading relation 97050647 Wed Aug 19 11:27:36 2026 error -1 reading relation 99745566 Wed Aug 19 11:27:45 2026 error -1 reading relation 105658958 Wed Aug 19 11:27:55 2026 error -1 reading relation 111209928 Wed Aug 19 11:28:03 2026 error -1 reading relation 116732720 Wed Aug 19 11:28:35 2026 skipped 104 malformed relations Wed Aug 19 11:28:35 2026 found 23522769 hash collisions in 140368422 relations Wed Aug 19 11:28:47 2026 added 731403 free relations Wed Aug 19 11:28:47 2026 commencing duplicate removal, pass 2 Wed Aug 19 11:29:33 2026 found 20234382 duplicates and 120865443 unique relations Wed Aug 19 11:29:33 2026 memory use: 724.8 MB Wed Aug 19 11:29:33 2026 reading ideals above 720000 Wed Aug 19 11:29:33 2026 commencing singleton removal, initial pass Wed Aug 19 11:35:56 2026 memory use: 3012.0 MB Wed Aug 19 11:35:56 2026 reading all ideals from disk Wed Aug 19 11:35:59 2026 memory use: 5497.6 MB Wed Aug 19 11:36:07 2026 keeping 115599992 ideals with weight <= 200, target excess is 651634 Wed Aug 19 11:36:14 2026 commencing in-memory singleton removal Wed Aug 19 11:36:15 2026 begin with 120865443 relations and 115599992 unique ideals Wed Aug 19 11:36:30 2026 reduce to 66662927 relations and 55028155 ideals in 16 passes Wed Aug 19 11:36:30 2026 max relations containing the same ideal: 141 Wed Aug 19 11:36:52 2026 removing 9720215 relations and 7720215 ideals in 2000000 cliques Wed Aug 19 11:36:54 2026 commencing in-memory singleton removal Wed Aug 19 11:36:55 2026 begin with 56942712 relations and 55028155 unique ideals Wed Aug 19 11:37:00 2026 reduce to 55885747 relations and 46211298 ideals in 9 passes Wed Aug 19 11:37:00 2026 max relations containing the same ideal: 124 Wed Aug 19 11:37:16 2026 removing 7591962 relations and 5591962 ideals in 2000000 cliques Wed Aug 19 11:37:18 2026 commencing in-memory singleton removal Wed Aug 19 11:37:18 2026 begin with 48293785 relations and 46211298 unique ideals Wed Aug 19 11:37:22 2026 reduce to 47537960 relations and 39836528 ideals in 8 passes Wed Aug 19 11:37:22 2026 max relations containing the same ideal: 110 Wed Aug 19 11:37:36 2026 removing 6962249 relations and 4962249 ideals in 2000000 cliques Wed Aug 19 11:37:38 2026 commencing in-memory singleton removal Wed Aug 19 11:37:38 2026 begin with 40575711 relations and 39836528 unique ideals Wed Aug 19 11:37:42 2026 reduce to 39873563 relations and 34144803 ideals in 9 passes Wed Aug 19 11:37:42 2026 max relations containing the same ideal: 101 Wed Aug 19 11:37:53 2026 removing 6621907 relations and 4621907 ideals in 2000000 cliques Wed Aug 19 11:37:54 2026 commencing in-memory singleton removal Wed Aug 19 11:37:55 2026 begin with 33251656 relations and 34144803 unique ideals Wed Aug 19 11:37:57 2026 reduce to 32545578 relations and 28785061 ideals in 8 passes Wed Aug 19 11:37:57 2026 max relations containing the same ideal: 93 Wed Aug 19 11:38:07 2026 removing 6374114 relations and 4374114 ideals in 2000000 cliques Wed Aug 19 11:38:09 2026 commencing in-memory singleton removal Wed Aug 19 11:38:09 2026 begin with 26171464 relations and 28785061 unique ideals Wed Aug 19 11:38:11 2026 reduce to 25417048 relations and 23615463 ideals in 9 passes Wed Aug 19 11:38:11 2026 max relations containing the same ideal: 78 Wed Aug 19 11:38:16 2026 removing 3679486 relations and 2633797 ideals in 1045689 cliques Wed Aug 19 11:38:17 2026 commencing in-memory singleton removal Wed Aug 19 11:38:18 2026 begin with 21737562 relations and 23615463 unique ideals Wed Aug 19 11:38:19 2026 reduce to 21414767 relations and 20647127 ideals in 8 passes Wed Aug 19 11:38:19 2026 max relations containing the same ideal: 71 Wed Aug 19 11:38:25 2026 removing 80833 relations and 69089 ideals in 11744 cliques Wed Aug 19 11:38:26 2026 commencing in-memory singleton removal Wed Aug 19 11:38:26 2026 begin with 21333934 relations and 20647127 unique ideals Wed Aug 19 11:38:26 2026 reduce to 21333793 relations and 20577897 ideals in 4 passes Wed Aug 19 11:38:26 2026 max relations containing the same ideal: 71 Wed Aug 19 11:38:27 2026 trying target density 100 Wed Aug 19 11:38:29 2026 relations with 0 large ideals: 15099 Wed Aug 19 11:38:29 2026 relations with 1 large ideals: 13340 Wed Aug 19 11:38:29 2026 relations with 2 large ideals: 177110 Wed Aug 19 11:38:29 2026 relations with 3 large ideals: 1017430 Wed Aug 19 11:38:29 2026 relations with 4 large ideals: 3081988 Wed Aug 19 11:38:29 2026 relations with 5 large ideals: 5413793 Wed Aug 19 11:38:29 2026 relations with 6 large ideals: 5928571 Wed Aug 19 11:38:29 2026 relations with 7+ large ideals: 5686462 Wed Aug 19 11:38:29 2026 commencing 2-way merge Wed Aug 19 11:38:38 2026 reduce to 14087322 relation sets and 13331426 unique ideals Wed Aug 19 11:38:38 2026 commencing full merge Wed Aug 19 11:41:53 2026 memory use: 1663.8 MB Wed Aug 19 11:41:54 2026 found 6814535 cycles, need 6717626 Wed Aug 19 11:41:56 2026 weight of 6717626 cycles is about 672137688 (100.06/cycle) Wed Aug 19 11:41:56 2026 distribution of cycle lengths: Wed Aug 19 11:41:56 2026 1 relations: 254150 Wed Aug 19 11:41:56 2026 2 relations: 482720 Wed Aug 19 11:41:56 2026 3 relations: 600044 Wed Aug 19 11:41:56 2026 4 relations: 625225 Wed Aug 19 11:41:56 2026 5 relations: 634959 Wed Aug 19 11:41:56 2026 6 relations: 617045 Wed Aug 19 11:41:56 2026 7 relations: 580748 Wed Aug 19 11:41:56 2026 8 relations: 531800 Wed Aug 19 11:41:56 2026 9 relations: 471559 Wed Aug 19 11:41:56 2026 10+ relations: 1919376 Wed Aug 19 11:41:56 2026 heaviest cycle: 24 relations Wed Aug 19 11:41:57 2026 commencing cycle optimization Wed Aug 19 11:42:08 2026 start with 49679969 relations Wed Aug 19 11:43:25 2026 pruned 1964706 relations Wed Aug 19 11:43:25 2026 memory use: 1402.3 MB Wed Aug 19 11:43:25 2026 distribution of cycle lengths: Wed Aug 19 11:43:25 2026 1 relations: 254150 Wed Aug 19 11:43:25 2026 2 relations: 496155 Wed Aug 19 11:43:25 2026 3 relations: 628308 Wed Aug 19 11:43:25 2026 4 relations: 652519 Wed Aug 19 11:43:25 2026 5 relations: 666286 Wed Aug 19 11:43:25 2026 6 relations: 644135 Wed Aug 19 11:43:25 2026 7 relations: 605802 Wed Aug 19 11:43:25 2026 8 relations: 549480 Wed Aug 19 11:43:25 2026 9 relations: 482603 Wed Aug 19 11:43:25 2026 10+ relations: 1738188 Wed Aug 19 11:43:25 2026 heaviest cycle: 23 relations Wed Aug 19 11:43:35 2026 trying target density 120 Wed Aug 19 11:43:37 2026 relations with 0 large ideals: 15099 Wed Aug 19 11:43:37 2026 relations with 1 large ideals: 13340 Wed Aug 19 11:43:37 2026 relations with 2 large ideals: 177110 Wed Aug 19 11:43:37 2026 relations with 3 large ideals: 1017430 Wed Aug 19 11:43:37 2026 relations with 4 large ideals: 3081988 Wed Aug 19 11:43:37 2026 relations with 5 large ideals: 5413793 Wed Aug 19 11:43:37 2026 relations with 6 large ideals: 5928571 Wed Aug 19 11:43:37 2026 relations with 7+ large ideals: 5686462 Wed Aug 19 11:43:37 2026 commencing 2-way merge Wed Aug 19 11:43:47 2026 reduce to 14087322 relation sets and 13331426 unique ideals Wed Aug 19 11:43:47 2026 commencing full merge Wed Aug 19 11:47:29 2026 memory use: 1705.9 MB Wed Aug 19 11:47:30 2026 found 6423381 cycles, need 6355626 Wed Aug 19 11:47:31 2026 weight of 6355626 cycles is about 763224263 (120.09/cycle) Wed Aug 19 11:47:31 2026 distribution of cycle lengths: Wed Aug 19 11:47:31 2026 1 relations: 149186 Wed Aug 19 11:47:31 2026 2 relations: 334995 Wed Aug 19 11:47:31 2026 3 relations: 442904 Wed Aug 19 11:47:31 2026 4 relations: 480146 Wed Aug 19 11:47:31 2026 5 relations: 503340 Wed Aug 19 11:47:31 2026 6 relations: 503670 Wed Aug 19 11:47:31 2026 7 relations: 496199 Wed Aug 19 11:47:31 2026 8 relations: 472708 Wed Aug 19 11:47:31 2026 9 relations: 440567 Wed Aug 19 11:47:31 2026 10+ relations: 2531911 Wed Aug 19 11:47:31 2026 heaviest cycle: 28 relations Wed Aug 19 11:47:32 2026 commencing cycle optimization Wed Aug 19 11:47:42 2026 start with 56276916 relations Wed Aug 19 11:49:04 2026 pruned 2649575 relations Wed Aug 19 11:49:04 2026 memory use: 1467.5 MB Wed Aug 19 11:49:04 2026 distribution of cycle lengths: Wed Aug 19 11:49:04 2026 1 relations: 149186 Wed Aug 19 11:49:04 2026 2 relations: 345042 Wed Aug 19 11:49:04 2026 3 relations: 464417 Wed Aug 19 11:49:04 2026 4 relations: 503202 Wed Aug 19 11:49:04 2026 5 relations: 531943 Wed Aug 19 11:49:04 2026 6 relations: 530807 Wed Aug 19 11:49:04 2026 7 relations: 523988 Wed Aug 19 11:49:04 2026 8 relations: 496305 Wed Aug 19 11:49:04 2026 9 relations: 461262 Wed Aug 19 11:49:04 2026 10+ relations: 2349474 Wed Aug 19 11:49:04 2026 heaviest cycle: 28 relations Wed Aug 19 11:49:11 2026 trying target density 140 Wed Aug 19 11:49:13 2026 relations with 0 large ideals: 15099 Wed Aug 19 11:49:13 2026 relations with 1 large ideals: 13340 Wed Aug 19 11:49:13 2026 relations with 2 large ideals: 177110 Wed Aug 19 11:49:13 2026 relations with 3 large ideals: 1017430 Wed Aug 19 11:49:13 2026 relations with 4 large ideals: 3081988 Wed Aug 19 11:49:13 2026 relations with 5 large ideals: 5413793 Wed Aug 19 11:49:13 2026 relations with 6 large ideals: 5928571 Wed Aug 19 11:49:13 2026 relations with 7+ large ideals: 5686462 Wed Aug 19 11:49:13 2026 commencing 2-way merge Wed Aug 19 11:49:20 2026 reduce to 14087322 relation sets and 13331426 unique ideals Wed Aug 19 11:49:20 2026 commencing full merge Wed Aug 19 11:55:24 2026 memory use: 622.1 MB Wed Aug 19 11:55:24 2026 found 24544 cycles, need 3140366 Wed Aug 19 11:55:24 2026 too few cycles, matrix probably cannot build Wed Aug 19 11:55:25 2026 RelProcTime: 1817 Wed Aug 19 11:55:25 2026 Wed Aug 19 11:55:25 2026 commencing linear algebra Wed Aug 19 11:55:25 2026 using VBITS=256 Wed Aug 19 11:55:25 2026 building matrices for all densities Wed Aug 19 11:55:25 2026 found 2 density files Wed Aug 19 11:55:25 2026 building matrix for density 100 Wed Aug 19 11:55:25 2026 read 6717626 cycles Wed Aug 19 11:55:32 2026 cycles contain 20939299 unique relations Wed Aug 19 11:55:45 2026 read 20939299 relations Wed Aug 19 11:55:49 2026 using 20 quadratic characters above 4294917295 Wed Aug 19 11:55:54 2026 building initial matrix Wed Aug 19 11:58:34 2026 memory use: 2733.6 MB Wed Aug 19 11:58:36 2026 read 6717626 cycles Wed Aug 19 11:58:37 2026 matrix is 6717447 x 6717626 (2705.6 MB) with weight 797458132 (118.71/col) Wed Aug 19 11:58:37 2026 sparse part has weight 635362327 (94.58/col) Wed Aug 19 11:59:15 2026 filtering completed in 2 passes Wed Aug 19 11:59:16 2026 matrix is 6716916 x 6717090 (2705.5 MB) with weight 797436336 (118.72/col) Wed Aug 19 11:59:16 2026 sparse part has weight 635353388 (94.59/col) Wed Aug 19 11:59:27 2026 building matrix for density 120 Wed Aug 19 11:59:27 2026 read 6355626 cycles Wed Aug 19 11:59:36 2026 cycles contain 20944472 unique relations Wed Aug 19 11:59:51 2026 read 20944472 relations Wed Aug 19 11:59:55 2026 using 20 quadratic characters above 4294917295 Wed Aug 19 12:00:00 2026 building initial matrix Wed Aug 19 12:02:58 2026 memory use: 2745.7 MB Wed Aug 19 12:02:59 2026 read 6355626 cycles Wed Aug 19 12:03:00 2026 matrix is 6355449 x 6355626 (2978.7 MB) with weight 871780544 (137.17/col) Wed Aug 19 12:03:00 2026 sparse part has weight 710940579 (111.86/col) Wed Aug 19 12:03:40 2026 filtering completed in 2 passes Wed Aug 19 12:03:41 2026 matrix is 6355260 x 6355432 (2978.7 MB) with weight 871773176 (137.17/col) Wed Aug 19 12:03:41 2026 sparse part has weight 710938114 (111.86/col) Wed Aug 19 12:03:52 2026 BLanczosTime: 507 Wed Aug 19 12:03:52 2026 elapsed time 00:38:45 Wed Aug 19 16:30:24 2026 Wed Aug 19 16:30:24 2026 Wed Aug 19 16:30:24 2026 Msieve v. 1.54 (SVN unknown) Wed Aug 19 16:30:24 2026 random seeds: 4cdc8ce9 cac457c3 Wed Aug 19 16:30:24 2026 factoring 6277850300215785335440079870857653921781112156205864960591051220029197064977457988317665258399949570762550126785940036300184929332134711382553952252660750930115481210623739467386362058837306648737 (196 digits) Wed Aug 19 16:30:25 2026 no P-1/P+1/ECM available, skipping Wed Aug 19 16:30:25 2026 commencing number field sieve (196-digit input) Wed Aug 19 16:30:25 2026 R0: 32405942477043271170261520387460760074778241 Wed Aug 19 16:30:25 2026 R1: -1 Wed Aug 19 16:30:25 2026 A0: -75449464927 Wed Aug 19 16:30:25 2026 A1: 0 Wed Aug 19 16:30:25 2026 A2: 0 Wed Aug 19 16:30:25 2026 A3: 0 Wed Aug 19 16:30:25 2026 A4: 0 Wed Aug 19 16:30:25 2026 A5: 1 Wed Aug 19 16:30:25 2026 skew 212.69, size 5.257e-16, alpha -0.293, combined = 8.642e-13 rroots = 1 Wed Aug 19 16:30:25 2026 Wed Aug 19 16:30:25 2026 commencing linear algebra Wed Aug 19 16:30:25 2026 using VBITS=256 Wed Aug 19 16:30:25 2026 skipping matrix build Wed Aug 19 16:30:28 2026 matrix starts at (0, 0) Wed Aug 19 16:30:30 2026 matrix is 6355260 x 6355432 (2978.7 MB) with weight 871773176 (137.17/col) Wed Aug 19 16:30:30 2026 sparse part has weight 710938114 (111.86/col) Wed Aug 19 16:30:30 2026 saving the first 240 matrix rows for later Wed Aug 19 16:30:33 2026 matrix includes 256 packed rows Wed Aug 19 16:30:37 2026 matrix is 6355020 x 6355432 (2708.6 MB) with weight 646660351 (101.75/col) Wed Aug 19 16:30:37 2026 sparse part has weight 608359480 (95.72/col) Wed Aug 19 16:30:37 2026 using GPU 0 (NVIDIA GeForce RTX 5090) Wed Aug 19 16:30:37 2026 selected card has CUDA arch 12.0 Wed Aug 19 16:30:38 2026 computed block_nnz 150558880 (L2 cache 100663296 bytes, average column weight 95.7) Wed Aug 19 16:30:38 2026 nonzeros per matrix block: 256000000 Wed Aug 19 16:31:38 2026 commencing Lanczos iteration Wed Aug 19 16:31:39 2026 memory use: 6338.5 MB Wed Aug 19 16:31:43 2026 linear algebra at 0.5%, ETA 0h13m Wed Aug 19 16:31:49 2026 checking every 460000 dimensions, checkpointing every 28060000 dimensions Wed Aug 19 16:45:19 2026 lanczos halted after 24900 iterations (dim = 6355016) Wed Aug 19 16:45:57 2026 recovered 34 nontrivial dependencies Wed Aug 19 16:45:58 2026 BLanczosTime: 933 Wed Aug 19 16:45:58 2026 elapsed time 00:15:34 Wed Aug 19 12:49:13 2026 Wed Aug 19 12:49:13 2026 Wed Aug 19 12:49:13 2026 Msieve v. 1.54 (SVN unknown) Wed Aug 19 12:49:13 2026 random seeds: e1a3db18 979b7586 Wed Aug 19 12:49:13 2026 Using 8 OpenMP threads Wed Aug 19 12:49:13 2026 factoring 6277850300215785335440079870857653921781112156205864960591051220029197064977457988317665258399949570762550126785940036300184929332134711382553952252660750930115481210623739467386362058837306648737 (196 digits) Wed Aug 19 12:49:14 2026 no P-1/P+1/ECM available, skipping Wed Aug 19 12:49:14 2026 commencing number field sieve (196-digit input) Wed Aug 19 12:49:14 2026 R0: 32405942477043271170261520387460760074778241 Wed Aug 19 12:49:14 2026 R1: -1 Wed Aug 19 12:49:14 2026 A0: -75449464927 Wed Aug 19 12:49:14 2026 A1: 0 Wed Aug 19 12:49:14 2026 A2: 0 Wed Aug 19 12:49:14 2026 A3: 0 Wed Aug 19 12:49:14 2026 A4: 0 Wed Aug 19 12:49:14 2026 A5: 1 Wed Aug 19 12:49:14 2026 skew 212.69, size 5.257e-16, alpha -0.293, combined = 8.642e-13 rroots = 1 Wed Aug 19 12:49:14 2026 Wed Aug 19 12:49:14 2026 commencing square root phase Wed Aug 19 12:49:14 2026 reading relations for dependency 1 Wed Aug 19 12:49:14 2026 read 3175640 cycles Wed Aug 19 12:49:18 2026 cycles contain 10470792 unique relations Wed Aug 19 12:50:42 2026 read 10470792 relations Wed Aug 19 12:51:13 2026 multiplying 10470792 relations Wed Aug 19 12:51:38 2026 multiply complete, coefficients have about 299.44 million bits Wed Aug 19 12:51:38 2026 initial square root is modulo 236111 Wed Aug 19 12:52:35 2026 GCD is N, no factor found Wed Aug 19 12:52:35 2026 reading relations for dependency 2 Wed Aug 19 12:52:35 2026 read 3177890 cycles Wed Aug 19 12:52:38 2026 cycles contain 10474212 unique relations Wed Aug 19 12:52:45 2026 read 10474212 relations Wed Aug 19 12:53:10 2026 multiplying 10474212 relations Wed Aug 19 12:53:38 2026 multiply complete, coefficients have about 299.54 million bits Wed Aug 19 12:53:38 2026 initial square root is modulo 237071 Wed Aug 19 12:54:28 2026 sqrtTime: 314 Wed Aug 19 12:54:28 2026 p53 factor: 12691814989023962213812735275698761389722862116139929 Wed Aug 19 12:54:28 2026 p144 factor: 494637709866157640132964381056353492087498048198455265679707343765962716539875069592152222682535394508441840891642739206395705293797779518292553 Wed Aug 19 12:54:28 2026 elapsed time 00:05:15