Tue Aug 11 18:40:12 2026 Msieve v. 1.54 (SVN Unversioned directory) Tue Aug 11 18:40:12 2026 random seeds: 8980364f d30c6633 Tue Aug 11 18:40:12 2026 Using 2 OpenMP threads Tue Aug 11 18:40:12 2026 factoring 55653392269069589809926795089178152476509706164376789687879951398977732588760249002112881205907674414881953427988432555346469535100210147745432824101221017317049 (161 digits) Tue Aug 11 18:40:13 2026 no P-1/P+1/ECM available, skipping Tue Aug 11 18:40:13 2026 commencing number field sieve (161-digit input) Tue Aug 11 18:40:13 2026 R0: -29431650132057148828781281509598 Tue Aug 11 18:40:13 2026 R1: 189743515198357792079 Tue Aug 11 18:40:13 2026 A0: -2106966434743035449129052951770853258501 Tue Aug 11 18:40:13 2026 A1: -77199972368152668274465172187131 Tue Aug 11 18:40:13 2026 A2: 69580076303592416616717519 Tue Aug 11 18:40:13 2026 A3: -6734464731999979381 Tue Aug 11 18:40:13 2026 A4: 243593925870 Tue Aug 11 18:40:13 2026 A5: 37800 Tue Aug 11 18:40:13 2026 skew 11349547.27, size 1.778e-15, alpha -8.451, combined = 1.668e-12 rroots = 3 Tue Aug 11 18:40:13 2026 Tue Aug 11 18:40:13 2026 commencing relation filtering Tue Aug 11 18:40:13 2026 estimated available RAM is 31871.6 MB Tue Aug 11 18:40:13 2026 commencing duplicate removal, pass 1 Tue Aug 11 18:40:56 2026 error -1 reading relation 5831103 Tue Aug 11 18:41:03 2026 error -1 reading relation 6884651 Tue Aug 11 18:41:03 2026 error -1 reading relation 6884652 Tue Aug 11 18:41:15 2026 error -1 reading relation 8447403 Tue Aug 11 18:41:33 2026 error -1 reading relation 11014940 Tue Aug 11 18:41:33 2026 error -1 reading relation 11014941 Tue Aug 11 18:42:18 2026 error -1 reading relation 17108672 Tue Aug 11 18:42:39 2026 error -1 reading relation 19838473 Tue Aug 11 18:42:42 2026 error -1 reading relation 20165486 Tue Aug 11 18:42:46 2026 error -1 reading relation 20735366 Tue Aug 11 18:42:55 2026 error -1 reading relation 21948983 Tue Aug 11 18:43:36 2026 error -1 reading relation 27032528 Tue Aug 11 18:44:55 2026 error -1 reading relation 37337786 Tue Aug 11 18:46:12 2026 error -1 reading relation 48080713 Tue Aug 11 18:46:19 2026 error -1 reading relation 49056111 Tue Aug 11 18:46:42 2026 error -1 reading relation 51956157 Tue Aug 11 18:47:31 2026 error -1 reading relation 58641885 Tue Aug 11 18:47:40 2026 error -1 reading relation 59908602 Tue Aug 11 18:47:54 2026 error -1 reading relation 61962618 Tue Aug 11 18:49:03 2026 error -1 reading relation 71662339 Tue Aug 11 18:50:18 2026 error -1 reading relation 81484342 Tue Aug 11 18:50:18 2026 error -1 reading relation 81484343 Tue Aug 11 18:51:34 2026 error -1 reading relation 89855779 Tue Aug 11 18:51:54 2026 error -1 reading relation 91871793 Tue Aug 11 18:52:31 2026 error -1 reading relation 95746979 Tue Aug 11 18:54:16 2026 error -1 reading relation 106104827 Tue Aug 11 18:55:31 2026 error -1 reading relation 113965067 Tue Aug 11 18:55:42 2026 skipped 1 malformed relations Tue Aug 11 18:55:42 2026 found 5755680 hash collisions in 115111733 relations Tue Aug 11 18:56:16 2026 added 122036 free relations Tue Aug 11 18:56:16 2026 commencing duplicate removal, pass 2 Tue Aug 11 18:59:51 2026 found 0 duplicates and 115233769 unique relations Tue Aug 11 18:59:51 2026 memory use: 394.4 MB Tue Aug 11 18:59:51 2026 reading ideals above 720000 Tue Aug 11 18:59:51 2026 commencing singleton removal, initial pass Tue Aug 11 19:23:30 2026 memory use: 3012.0 MB Tue Aug 11 19:23:30 2026 reading all ideals from disk Tue Aug 11 19:24:46 2026 memory use: 5149.2 MB Tue Aug 11 19:25:31 2026 keeping 114615326 ideals with weight <= 200, target excess is 596920 Tue Aug 11 19:25:57 2026 commencing in-memory singleton removal Tue Aug 11 19:26:13 2026 begin with 115233769 relations and 114615326 unique ideals Tue Aug 11 19:27:36 2026 reduce to 56920485 relations and 48456153 ideals in 15 passes Tue Aug 11 19:27:36 2026 max relations containing the same ideal: 128 Tue Aug 11 19:28:37 2026 removing 6577615 relations and 5577615 ideals in 1000000 cliques Tue Aug 11 19:28:40 2026 commencing in-memory singleton removal Tue Aug 11 19:28:47 2026 begin with 50342870 relations and 48456153 unique ideals Tue Aug 11 19:29:20 2026 reduce to 49787711 relations and 42311019 ideals in 9 passes Tue Aug 11 19:29:20 2026 max relations containing the same ideal: 119 Tue Aug 11 19:30:12 2026 removing 4941169 relations and 3941169 ideals in 1000000 cliques Tue Aug 11 19:30:15 2026 commencing in-memory singleton removal Tue Aug 11 19:30:21 2026 begin with 44846542 relations and 42311019 unique ideals Tue Aug 11 19:30:48 2026 reduce to 44474939 relations and 37990868 ideals in 8 passes Tue Aug 11 19:30:48 2026 max relations containing the same ideal: 113 Tue Aug 11 19:31:34 2026 removing 4438475 relations and 3438475 ideals in 1000000 cliques Tue Aug 11 19:31:38 2026 commencing in-memory singleton removal Tue Aug 11 19:31:43 2026 begin with 40036464 relations and 37990868 unique ideals Tue Aug 11 19:32:05 2026 reduce to 39701732 relations and 34210711 ideals in 8 passes Tue Aug 11 19:32:05 2026 max relations containing the same ideal: 102 Tue Aug 11 19:32:45 2026 removing 4181360 relations and 3181360 ideals in 1000000 cliques Tue Aug 11 19:32:48 2026 commencing in-memory singleton removal Tue Aug 11 19:32:52 2026 begin with 35520372 relations and 34210711 unique ideals Tue Aug 11 19:33:12 2026 reduce to 35193770 relations and 30695510 ideals in 8 passes Tue Aug 11 19:33:12 2026 max relations containing the same ideal: 95 Tue Aug 11 19:33:47 2026 removing 4026223 relations and 3026223 ideals in 1000000 cliques Tue Aug 11 19:33:49 2026 commencing in-memory singleton removal Tue Aug 11 19:33:53 2026 begin with 31167547 relations and 30695510 unique ideals Tue Aug 11 19:34:13 2026 reduce to 30833421 relations and 27326963 ideals in 9 passes Tue Aug 11 19:34:13 2026 max relations containing the same ideal: 87 Tue Aug 11 19:34:45 2026 removing 3924318 relations and 2924318 ideals in 1000000 cliques Tue Aug 11 19:34:47 2026 commencing in-memory singleton removal Tue Aug 11 19:34:50 2026 begin with 26909103 relations and 27326963 unique ideals Tue Aug 11 19:35:06 2026 reduce to 26556774 relations and 24040542 ideals in 9 passes Tue Aug 11 19:35:06 2026 max relations containing the same ideal: 76 Tue Aug 11 19:35:34 2026 removing 3849824 relations and 2849824 ideals in 1000000 cliques Tue Aug 11 19:35:36 2026 commencing in-memory singleton removal Tue Aug 11 19:35:39 2026 begin with 22706950 relations and 24040542 unique ideals Tue Aug 11 19:35:52 2026 reduce to 22323671 relations and 20795197 ideals in 9 passes Tue Aug 11 19:35:52 2026 max relations containing the same ideal: 70 Tue Aug 11 19:36:15 2026 removing 3293258 relations and 2457212 ideals in 836046 cliques Tue Aug 11 19:36:17 2026 commencing in-memory singleton removal Tue Aug 11 19:36:19 2026 begin with 19030413 relations and 20795197 unique ideals Tue Aug 11 19:36:29 2026 reduce to 18711667 relations and 18009139 ideals in 8 passes Tue Aug 11 19:36:29 2026 max relations containing the same ideal: 63 Tue Aug 11 19:36:49 2026 removing 82560 relations and 72460 ideals in 10100 cliques Tue Aug 11 19:36:50 2026 commencing in-memory singleton removal Tue Aug 11 19:36:52 2026 begin with 18629107 relations and 18009139 unique ideals Tue Aug 11 19:36:58 2026 reduce to 18628946 relations and 17936518 ideals in 5 passes Tue Aug 11 19:36:58 2026 max relations containing the same ideal: 63 Tue Aug 11 19:37:03 2026 relations with 0 large ideals: 2126 Tue Aug 11 19:37:03 2026 relations with 1 large ideals: 13156 Tue Aug 11 19:37:03 2026 relations with 2 large ideals: 174804 Tue Aug 11 19:37:03 2026 relations with 3 large ideals: 981861 Tue Aug 11 19:37:03 2026 relations with 4 large ideals: 2890477 Tue Aug 11 19:37:03 2026 relations with 5 large ideals: 4900656 Tue Aug 11 19:37:03 2026 relations with 6 large ideals: 5042017 Tue Aug 11 19:37:03 2026 relations with 7+ large ideals: 4623849 Tue Aug 11 19:37:03 2026 commencing 2-way merge Tue Aug 11 19:37:30 2026 reduce to 11435988 relation sets and 10743559 unique ideals Tue Aug 11 19:37:30 2026 commencing full merge Tue Aug 11 19:45:01 2026 memory use: 1369.2 MB Tue Aug 11 19:45:04 2026 found 5733450 cycles, need 5641759 Tue Aug 11 19:45:08 2026 weight of 5641759 cycles is about 508108873 (90.06/cycle) Tue Aug 11 19:45:08 2026 distribution of cycle lengths: Tue Aug 11 19:45:08 2026 1 relations: 399464 Tue Aug 11 19:45:08 2026 2 relations: 510507 Tue Aug 11 19:45:08 2026 3 relations: 549139 Tue Aug 11 19:45:08 2026 4 relations: 538740 Tue Aug 11 19:45:08 2026 5 relations: 527625 Tue Aug 11 19:45:08 2026 6 relations: 494811 Tue Aug 11 19:45:08 2026 7 relations: 464367 Tue Aug 11 19:45:08 2026 8 relations: 416990 Tue Aug 11 19:45:08 2026 9 relations: 365205 Tue Aug 11 19:45:08 2026 10+ relations: 1374911 Tue Aug 11 19:45:08 2026 heaviest cycle: 22 relations Tue Aug 11 19:45:11 2026 commencing cycle optimization Tue Aug 11 19:45:34 2026 start with 38080369 relations Tue Aug 11 19:47:43 2026 pruned 1244719 relations Tue Aug 11 19:47:45 2026 memory use: 1156.4 MB Tue Aug 11 19:47:45 2026 distribution of cycle lengths: Tue Aug 11 19:47:45 2026 1 relations: 399464 Tue Aug 11 19:47:45 2026 2 relations: 522715 Tue Aug 11 19:47:45 2026 3 relations: 571560 Tue Aug 11 19:47:45 2026 4 relations: 556765 Tue Aug 11 19:47:45 2026 5 relations: 548310 Tue Aug 11 19:47:45 2026 6 relations: 511389 Tue Aug 11 19:47:45 2026 7 relations: 478819 Tue Aug 11 19:47:45 2026 8 relations: 426269 Tue Aug 11 19:47:45 2026 9 relations: 370436 Tue Aug 11 19:47:45 2026 10+ relations: 1256032 Tue Aug 11 19:47:45 2026 heaviest cycle: 22 relations Tue Aug 11 19:48:06 2026 RelProcTime: 4073 Tue Aug 11 19:48:06 2026 Tue Aug 11 19:48:06 2026 commencing linear algebra Tue Aug 11 19:48:06 2026 using VBITS=256 Tue Aug 11 19:48:07 2026 read 5641759 cycles Tue Aug 11 19:48:21 2026 cycles contain 18194991 unique relations Tue Aug 11 19:52:34 2026 read 18194991 relations Tue Aug 11 19:53:27 2026 using 20 quadratic characters above 4294917295 Tue Aug 11 19:54:32 2026 building initial matrix Tue Aug 11 20:00:47 2026 memory use: 2546.6 MB Tue Aug 11 20:01:02 2026 read 5641759 cycles Tue Aug 11 20:01:03 2026 matrix is 5641577 x 5641759 (2106.1 MB) with weight 664027691 (117.70/col) Tue Aug 11 20:01:03 2026 sparse part has weight 484396025 (85.86/col) Tue Aug 11 20:02:32 2026 filtering completed in 2 passes Tue Aug 11 20:02:35 2026 matrix is 5640573 x 5640754 (2106.0 MB) with weight 663982087 (117.71/col) Tue Aug 11 20:02:35 2026 sparse part has weight 484382785 (85.87/col) Tue Aug 11 20:02:58 2026 matrix starts at (0, 0) Tue Aug 11 20:02:59 2026 matrix is 5640573 x 5640754 (2106.0 MB) with weight 663982087 (117.71/col) Tue Aug 11 20:02:59 2026 sparse part has weight 484382785 (85.87/col) Tue Aug 11 20:02:59 2026 saving the first 240 matrix rows for later Tue Aug 11 20:03:00 2026 matrix includes 256 packed rows Tue Aug 11 20:03:03 2026 matrix is 5640333 x 5640754 (1926.9 MB) with weight 443363342 (78.60/col) Tue Aug 11 20:03:03 2026 sparse part has weight 414880161 (73.55/col) Tue Aug 11 20:03:04 2026 using GPU 0 (NVIDIA GeForce RTX 3080) Tue Aug 11 20:03:04 2026 selected card has CUDA arch 8.6 Tue Aug 11 20:04:22 2026 commencing Lanczos iteration Tue Aug 11 20:04:24 2026 memory use: 4714.6 MB Tue Aug 11 20:04:46 2026 linear algebra at 0.5%, ETA 1h 7m Tue Aug 11 20:05:18 2026 checking every 80000 dimensions, checkpointing every 5200000 dimensions Tue Aug 11 21:10:07 2026 lanczos halted after 22100 iterations (dim = 5640331) Tue Aug 11 21:10:53 2026 recovered 27 nontrivial dependencies Tue Aug 11 21:10:53 2026 BLanczosTime: 4967 Tue Aug 11 21:10:53 2026 Tue Aug 11 21:10:53 2026 commencing square root phase Tue Aug 11 21:10:53 2026 handling dependencies 1 to 64 Tue Aug 11 21:10:53 2026 reading relations for dependency 1 Tue Aug 11 21:10:56 2026 read 2818468 cycles Tue Aug 11 21:11:03 2026 cycles contain 9094036 unique relations Tue Aug 11 21:16:54 2026 read 9094036 relations Tue Aug 11 21:19:19 2026 multiplying 9094036 relations Tue Aug 11 21:22:58 2026 multiply complete, coefficients have about 468.30 million bits Tue Aug 11 21:23:01 2026 initial square root is modulo 252787999 Tue Aug 11 21:30:36 2026 sqrtTime: 1183 Tue Aug 11 21:30:36 2026 p68 factor: 12718161445366271949314817745117195577546904900212718345331180188821 Tue Aug 11 21:30:36 2026 p94 factor: 4375899182294648146481570104559002884613322238636160673130766923222726451256191637972789560469 Tue Aug 11 21:30:36 2026 elapsed time 02:50:24