Sat Jun 6 19:55:20 2026 Msieve v. 1.54 (SVN Unversioned directory) Sat Jun 6 19:55:20 2026 random seeds: 06b117dc 2aaa15e1 Sat Jun 6 19:55:20 2026 Using 8 OpenMP threads Sat Jun 6 19:55:20 2026 factoring 478325607550853279933755543619886734740851528396622718920913923232788422159525184021874510087868165044843710589534942985130744183701463652898061664114199937725739354828554750275421411083169247253624549284722022360468752552378569 (228 digits) Sat Jun 6 19:55:20 2026 no P-1/P+1/ECM available, skipping Sat Jun 6 19:55:20 2026 commencing number field sieve (228-digit input) Sat Jun 6 19:55:20 2026 R0: 7709563606535050349575134258014138155441 Sat Jun 6 19:55:20 2026 R1: -1 Sat Jun 6 19:55:20 2026 A0: 1 Sat Jun 6 19:55:20 2026 A1: 1 Sat Jun 6 19:55:20 2026 A2: 1 Sat Jun 6 19:55:20 2026 A3: 1 Sat Jun 6 19:55:20 2026 A4: 1 Sat Jun 6 19:55:20 2026 A5: 1 Sat Jun 6 19:55:20 2026 A6: 1 Sat Jun 6 19:55:20 2026 skew 1.36, size 7.809e-12, alpha 2.428, combined = 5.349e-13 rroots = 0 Sat Jun 6 19:55:20 2026 Sat Jun 6 19:55:20 2026 commencing relation filtering Sat Jun 6 19:55:20 2026 estimated available RAM is 31872.1 MB Sat Jun 6 19:55:20 2026 commencing duplicate removal, pass 1 Sat Jun 6 19:56:12 2026 error -1 reading relation 43686215 Sat Jun 6 19:56:14 2026 error -1 reading relation 45318177 Sat Jun 6 19:56:22 2026 error -1 reading relation 53277161 Sat Jun 6 19:56:22 2026 error -1 reading relation 53288098 Sat Jun 6 19:57:21 2026 error -1 reading relation 109175466 Sat Jun 6 19:57:39 2026 error -1 reading relation 127615428 Sat Jun 6 19:57:40 2026 error -1 reading relation 128610012 Sat Jun 6 19:57:41 2026 error -1 reading relation 129491889 Sat Jun 6 19:57:49 2026 error -1 reading relation 137924472 Sat Jun 6 19:57:55 2026 error -1 reading relation 145420518 Sat Jun 6 19:58:07 2026 error -1 reading relation 161385315 Sat Jun 6 19:58:07 2026 error -1 reading relation 161395245 Sat Jun 6 19:58:09 2026 error -1 reading relation 164654649 Sat Jun 6 19:58:17 2026 skipped 3 relations with composite factors Sat Jun 6 19:58:17 2026 skipped 184 malformed relations Sat Jun 6 19:58:17 2026 found 28413415 hash collisions in 174520229 relations Sat Jun 6 19:58:20 2026 added 2438534 free relations Sat Jun 6 19:58:20 2026 commencing duplicate removal, pass 2 Sat Jun 6 19:59:03 2026 found 26816448 duplicates and 150142315 unique relations Sat Jun 6 19:59:03 2026 memory use: 852.8 MB Sat Jun 6 19:59:03 2026 reading ideals above 129957888 Sat Jun 6 19:59:03 2026 commencing singleton removal, initial pass Sat Jun 6 20:01:39 2026 memory use: 3012.0 MB Sat Jun 6 20:01:39 2026 reading all ideals from disk Sat Jun 6 20:01:42 2026 memory use: 3643.1 MB Sat Jun 6 20:01:56 2026 commencing in-memory singleton removal Sat Jun 6 20:01:58 2026 begin with 150142315 relations and 140426947 unique ideals Sat Jun 6 20:02:07 2026 reduce to 70175752 relations and 48618131 ideals in 17 passes Sat Jun 6 20:02:07 2026 max relations containing the same ideal: 28 Sat Jun 6 20:02:08 2026 reading ideals above 720000 Sat Jun 6 20:02:08 2026 commencing singleton removal, initial pass Sat Jun 6 20:04:27 2026 memory use: 1506.0 MB Sat Jun 6 20:04:27 2026 reading all ideals from disk Sat Jun 6 20:04:29 2026 memory use: 3232.3 MB Sat Jun 6 20:04:33 2026 keeping 63007260 ideals with weight <= 200, target excess is 360183 Sat Jun 6 20:04:36 2026 commencing in-memory singleton removal Sat Jun 6 20:04:38 2026 begin with 70175752 relations and 63007260 unique ideals Sat Jun 6 20:04:46 2026 reduce to 70149300 relations and 62980551 ideals in 10 passes Sat Jun 6 20:04:46 2026 max relations containing the same ideal: 200 Sat Jun 6 20:05:09 2026 removing 7598673 relations and 6598673 ideals in 1000000 cliques Sat Jun 6 20:05:11 2026 commencing in-memory singleton removal Sat Jun 6 20:05:13 2026 begin with 62550627 relations and 62980551 unique ideals Sat Jun 6 20:05:19 2026 reduce to 61889675 relations and 55708048 ideals in 9 passes Sat Jun 6 20:05:19 2026 max relations containing the same ideal: 193 Sat Jun 6 20:05:36 2026 removing 5667822 relations and 4667822 ideals in 1000000 cliques Sat Jun 6 20:05:38 2026 commencing in-memory singleton removal Sat Jun 6 20:05:39 2026 begin with 56221853 relations and 55708048 unique ideals Sat Jun 6 20:05:46 2026 reduce to 55795373 relations and 50606417 ideals in 10 passes Sat Jun 6 20:05:46 2026 max relations containing the same ideal: 179 Sat Jun 6 20:06:01 2026 removing 5077687 relations and 4077687 ideals in 1000000 cliques Sat Jun 6 20:06:02 2026 commencing in-memory singleton removal Sat Jun 6 20:06:03 2026 begin with 50717686 relations and 50606417 unique ideals Sat Jun 6 20:06:09 2026 reduce to 50347151 relations and 46151688 ideals in 9 passes Sat Jun 6 20:06:09 2026 max relations containing the same ideal: 169 Sat Jun 6 20:06:22 2026 removing 4766691 relations and 3766691 ideals in 1000000 cliques Sat Jun 6 20:06:23 2026 commencing in-memory singleton removal Sat Jun 6 20:06:24 2026 begin with 45580460 relations and 46151688 unique ideals Sat Jun 6 20:06:29 2026 reduce to 45229559 relations and 42027687 ideals in 9 passes Sat Jun 6 20:06:29 2026 max relations containing the same ideal: 157 Sat Jun 6 20:06:41 2026 removing 4560194 relations and 3560194 ideals in 1000000 cliques Sat Jun 6 20:06:42 2026 commencing in-memory singleton removal Sat Jun 6 20:06:43 2026 begin with 40669365 relations and 42027687 unique ideals Sat Jun 6 20:06:47 2026 reduce to 40324202 relations and 38115395 ideals in 8 passes Sat Jun 6 20:06:47 2026 max relations containing the same ideal: 148 Sat Jun 6 20:06:58 2026 removing 4403697 relations and 3403697 ideals in 1000000 cliques Sat Jun 6 20:06:59 2026 commencing in-memory singleton removal Sat Jun 6 20:06:59 2026 begin with 35920505 relations and 38115395 unique ideals Sat Jun 6 20:07:03 2026 reduce to 35567724 relations and 34351144 ideals in 10 passes Sat Jun 6 20:07:03 2026 max relations containing the same ideal: 132 Sat Jun 6 20:07:13 2026 removing 3571397 relations and 2772630 ideals in 798767 cliques Sat Jun 6 20:07:14 2026 commencing in-memory singleton removal Sat Jun 6 20:07:14 2026 begin with 31996327 relations and 34351144 unique ideals Sat Jun 6 20:07:17 2026 reduce to 31742742 relations and 31320035 ideals in 7 passes Sat Jun 6 20:07:17 2026 max relations containing the same ideal: 123 Sat Jun 6 20:07:28 2026 relations with 0 large ideals: 27056 Sat Jun 6 20:07:28 2026 relations with 1 large ideals: 4201 Sat Jun 6 20:07:28 2026 relations with 2 large ideals: 33237 Sat Jun 6 20:07:28 2026 relations with 3 large ideals: 285975 Sat Jun 6 20:07:28 2026 relations with 4 large ideals: 1396507 Sat Jun 6 20:07:28 2026 relations with 5 large ideals: 4069538 Sat Jun 6 20:07:28 2026 relations with 6 large ideals: 7363441 Sat Jun 6 20:07:28 2026 relations with 7+ large ideals: 18562787 Sat Jun 6 20:07:28 2026 commencing 2-way merge Sat Jun 6 20:07:41 2026 reduce to 19961840 relation sets and 19539133 unique ideals Sat Jun 6 20:07:41 2026 commencing full merge Sat Jun 6 20:12:28 2026 memory use: 2696.8 MB Sat Jun 6 20:12:28 2026 found 9944914 cycles, need 9901333 Sat Jun 6 20:12:30 2026 weight of 9901333 cycles is about 891500024 (90.04/cycle) Sat Jun 6 20:12:30 2026 distribution of cycle lengths: Sat Jun 6 20:12:30 2026 1 relations: 802596 Sat Jun 6 20:12:30 2026 2 relations: 942431 Sat Jun 6 20:12:30 2026 3 relations: 979620 Sat Jun 6 20:12:30 2026 4 relations: 921200 Sat Jun 6 20:12:30 2026 5 relations: 865927 Sat Jun 6 20:12:30 2026 6 relations: 793846 Sat Jun 6 20:12:30 2026 7 relations: 725982 Sat Jun 6 20:12:30 2026 8 relations: 650867 Sat Jun 6 20:12:30 2026 9 relations: 578166 Sat Jun 6 20:12:30 2026 10+ relations: 2640698 Sat Jun 6 20:12:30 2026 heaviest cycle: 28 relations Sat Jun 6 20:12:32 2026 commencing cycle optimization Sat Jun 6 20:12:42 2026 start with 69325199 relations Sat Jun 6 20:14:03 2026 pruned 2161488 relations Sat Jun 6 20:14:03 2026 memory use: 2033.5 MB Sat Jun 6 20:14:03 2026 distribution of cycle lengths: Sat Jun 6 20:14:03 2026 1 relations: 802596 Sat Jun 6 20:14:03 2026 2 relations: 959748 Sat Jun 6 20:14:03 2026 3 relations: 1012174 Sat Jun 6 20:14:03 2026 4 relations: 947719 Sat Jun 6 20:14:03 2026 5 relations: 894217 Sat Jun 6 20:14:03 2026 6 relations: 815096 Sat Jun 6 20:14:03 2026 7 relations: 745760 Sat Jun 6 20:14:03 2026 8 relations: 664284 Sat Jun 6 20:14:03 2026 9 relations: 588150 Sat Jun 6 20:14:03 2026 10+ relations: 2471589 Sat Jun 6 20:14:03 2026 heaviest cycle: 28 relations Sat Jun 6 20:14:11 2026 RelProcTime: 1131 Sat Jun 6 20:14:11 2026 Sat Jun 6 20:14:11 2026 commencing linear algebra Sat Jun 6 20:14:11 2026 using VBITS=64 Sat Jun 6 20:14:12 2026 read 9901333 cycles Sat Jun 6 20:14:20 2026 cycles contain 31412353 unique relations Sat Jun 6 20:14:46 2026 read 31412353 relations Sat Jun 6 20:14:54 2026 using 20 quadratic characters above 4294917295 Sat Jun 6 20:15:07 2026 building initial matrix Sat Jun 6 20:18:19 2026 memory use: 3782.1 MB Sat Jun 6 20:18:25 2026 read 9901333 cycles Sat Jun 6 20:18:25 2026 matrix is 9901156 x 9901333 (3670.0 MB) with weight 1047758351 (105.82/col) Sat Jun 6 20:18:25 2026 sparse part has weight 853158189 (86.17/col) Sat Jun 6 20:19:33 2026 filtering completed in 2 passes Sat Jun 6 20:19:34 2026 matrix is 9900146 x 9900322 (3669.9 MB) with weight 1047729773 (105.83/col) Sat Jun 6 20:19:34 2026 sparse part has weight 853149585 (86.17/col) Sat Jun 6 20:19:48 2026 matrix starts at (0, 0) Sat Jun 6 20:19:49 2026 matrix is 9900146 x 9900322 (3669.9 MB) with weight 1047729773 (105.83/col) Sat Jun 6 20:19:49 2026 sparse part has weight 853149585 (86.17/col) Sat Jun 6 20:19:49 2026 saving the first 48 matrix rows for later Sat Jun 6 20:19:49 2026 matrix includes 64 packed rows Sat Jun 6 20:19:50 2026 matrix is 9900098 x 9900322 (3506.7 MB) with weight 878893075 (88.77/col) Sat Jun 6 20:19:50 2026 sparse part has weight 820247175 (82.85/col) Sat Jun 6 20:19:50 2026 using GPU 0 (NVIDIA GeForce RTX 3080) Sat Jun 6 20:19:50 2026 selected card has CUDA arch 8.6 Sat Jun 6 20:21:11 2026 commencing Lanczos iteration Sat Jun 6 20:21:11 2026 memory use: 6937.8 MB Sat Jun 6 20:22:12 2026 checking every 10000 dimensions, checkpointing every 1140000 dimensions Sat Jun 6 20:22:47 2026 linear algebra at 0.3%, ETA 8h40m Sun Jun 7 04:48:20 2026 lanczos halted after 156560 iterations (dim = 9900092) Sun Jun 7 04:48:27 2026 recovered 34 nontrivial dependencies Sun Jun 7 04:48:27 2026 BLanczosTime: 30856 Sun Jun 7 04:48:27 2026 Sun Jun 7 04:48:27 2026 commencing square root phase Sun Jun 7 04:48:27 2026 reading relations for dependency 1 Sun Jun 7 04:48:29 2026 read 4950046 cycles Sun Jun 7 04:48:33 2026 cycles contain 15702918 unique relations Sun Jun 7 04:49:23 2026 read 15702918 relations Sun Jun 7 04:50:01 2026 multiplying 15702918 relations Sun Jun 7 04:50:53 2026 multiply complete, coefficients have about 390.51 million bits Sun Jun 7 04:50:54 2026 initial square root is modulo 10164773 Sun Jun 7 04:52:17 2026 GCD is N, no factor found Sun Jun 7 04:52:17 2026 reading relations for dependency 2 Sun Jun 7 04:52:20 2026 read 4950025 cycles Sun Jun 7 04:52:24 2026 cycles contain 15703040 unique relations Sun Jun 7 04:52:49 2026 read 15703040 relations Sun Jun 7 04:53:23 2026 multiplying 15703040 relations Sun Jun 7 04:54:16 2026 multiply complete, coefficients have about 390.51 million bits Sun Jun 7 04:54:17 2026 initial square root is modulo 10163207 Sun Jun 7 04:55:40 2026 sqrtTime: 433 Sun Jun 7 04:55:40 2026 p91 factor: 2022060004002409404960769912343839231909794472860154910998468786455339900727761401236086887 Sun Jun 7 04:55:40 2026 p138 factor: 236553616907544216712418807712633824908986309015922722674130610833735545362603654788068271291006667440825124651470491820148638402520766287 Sun Jun 7 04:55:40 2026 elapsed time 09:00:20