Fri Dec 26 12:46:43 2025
Fri Dec 26 12:46:43 2025
Fri Dec 26 12:46:43 2025  Msieve v. 1.54 (SVN Unversioned directory)
Fri Dec 26 12:46:43 2025  random seeds: c06d8e91 737df565
Fri Dec 26 12:46:43 2025  Using 8 OpenMP threads
Fri Dec 26 12:46:43 2025  factoring 389355644854907228021068919998462321864752815388739855810472948289017131052274664887180481872722696837716219803618122914708613383521149473212884288493015166842056167364764259521296937514735291487151247713535964700236631 (219 digits)
Fri Dec 26 12:46:44 2025  searching for 15-digit factors
Fri Dec 26 12:46:44 2025  commencing number field sieve (219-digit input)
Fri Dec 26 12:46:44 2025  R0: 103683844829043116814144809774876066881
Fri Dec 26 12:46:44 2025  R1: -1
Fri Dec 26 12:46:44 2025  A0: -56489
Fri Dec 26 12:46:44 2025  A1: 0
Fri Dec 26 12:46:44 2025  A2: 0
Fri Dec 26 12:46:44 2025  A3: 0
Fri Dec 26 12:46:44 2025  A4: 0
Fri Dec 26 12:46:44 2025  A5: 0
Fri Dec 26 12:46:44 2025  A6: 1
Fri Dec 26 12:46:44 2025  skew 6.19, size 1.846e-11, alpha -0.408, combined = 1.008e-12 rroots = 2
Fri Dec 26 12:46:44 2025
Fri Dec 26 12:46:44 2025  commencing relation filtering
Fri Dec 26 12:46:44 2025  estimated available RAM is 78540.1 MB
Fri Dec 26 12:46:44 2025  commencing duplicate removal, pass 1
Fri Dec 26 12:47:02 2025  error -1 reading relation 21665114
Fri Dec 26 12:47:03 2025  error -1 reading relation 22985005
Fri Dec 26 12:47:04 2025  error -1 reading relation 24110024
Fri Dec 26 12:47:04 2025  error -1 reading relation 24165974
Fri Dec 26 12:47:05 2025  error -1 reading relation 25310544
Fri Dec 26 12:47:09 2025  error -1 reading relation 29430686
Fri Dec 26 12:47:10 2025  error -1 reading relation 30686927
Fri Dec 26 12:47:21 2025  error -1 reading relation 42467810
Fri Dec 26 12:47:23 2025  error -1 reading relation 44207454
Fri Dec 26 12:47:25 2025  error -1 reading relation 47610951
Fri Dec 26 12:47:28 2025  error -1 reading relation 51277964
Fri Dec 26 12:47:29 2025  error -1 reading relation 51783655
Fri Dec 26 12:47:32 2025  error -1 reading relation 55726835
Fri Dec 26 12:47:34 2025  error -1 reading relation 58583463
Fri Dec 26 12:47:37 2025  error -1 reading relation 62868738
Fri Dec 26 12:47:38 2025  error -1 reading relation 63313837
Fri Dec 26 12:47:42 2025  error -1 reading relation 69180508
Fri Dec 26 12:47:43 2025  error -1 reading relation 70073142
Fri Dec 26 12:47:43 2025  error -1 reading relation 70134919
Fri Dec 26 12:47:45 2025  error -1 reading relation 72173774
Fri Dec 26 12:47:45 2025  error -1 reading relation 72466898
Fri Dec 26 12:47:47 2025  error -1 reading relation 75112594
Fri Dec 26 12:47:48 2025  error -1 reading relation 76875091
Fri Dec 26 12:47:48 2025  error -1 reading relation 77160109
Fri Dec 26 12:47:48 2025  error -1 reading relation 77160110
Fri Dec 26 12:47:49 2025  error -1 reading relation 77273675
Fri Dec 26 12:47:49 2025  error -1 reading relation 77385292
Fri Dec 26 12:47:49 2025  error -1 reading relation 77671196
Fri Dec 26 12:47:49 2025  error -1 reading relation 77909952
Fri Dec 26 12:47:49 2025  error -1 reading relation 77961551
Fri Dec 26 12:47:49 2025  error -1 reading relation 78008350
Fri Dec 26 12:47:49 2025  error -1 reading relation 78174647
Fri Dec 26 12:47:49 2025  error -1 reading relation 78392830
Fri Dec 26 12:47:51 2025  error -1 reading relation 79666031
Fri Dec 26 12:47:52 2025  error -1 reading relation 81497371
Fri Dec 26 12:47:55 2025  error -1 reading relation 84925086
Fri Dec 26 12:47:55 2025  error -1 reading relation 85449823
Fri Dec 26 12:47:55 2025  error -1 reading relation 85614808
Fri Dec 26 12:47:55 2025  error -1 reading relation 85825149
Fri Dec 26 12:47:56 2025  error -1 reading relation 86013866
Fri Dec 26 12:47:56 2025  error -1 reading relation 86585434
Fri Dec 26 12:47:57 2025  error -1 reading relation 87188078
Fri Dec 26 12:47:59 2025  error -1 reading relation 90159799
Fri Dec 26 12:47:59 2025  error -1 reading relation 90493307
Fri Dec 26 12:47:59 2025  error -1 reading relation 90883795
Fri Dec 26 12:48:00 2025  error -1 reading relation 91113212
Fri Dec 26 12:48:00 2025  error -1 reading relation 91553904
Fri Dec 26 12:48:00 2025  error -1 reading relation 92054284
Fri Dec 26 12:48:01 2025  error -1 reading relation 93391765
Fri Dec 26 12:48:01 2025  error -1 reading relation 93454813
Fri Dec 26 12:48:02 2025  error -1 reading relation 93891554
Fri Dec 26 12:48:02 2025  error -1 reading relation 94335868
Fri Dec 26 12:48:03 2025  error -1 reading relation 95336806
Fri Dec 26 12:48:03 2025  error -1 reading relation 95395798
Fri Dec 26 12:48:03 2025  error -1 reading relation 95733974
Fri Dec 26 12:48:04 2025  error -1 reading relation 96619842
Fri Dec 26 12:48:04 2025  error -1 reading relation 97010086
Fri Dec 26 12:48:04 2025  error -1 reading relation 97552593
Fri Dec 26 12:48:05 2025  error -1 reading relation 97937577
Fri Dec 26 12:48:06 2025  error -1 reading relation 99648365
Fri Dec 26 12:48:06 2025  error -1 reading relation 99648366
Fri Dec 26 12:48:06 2025  error -1 reading relation 100238610
Fri Dec 26 12:48:07 2025  error -1 reading relation 100647846
Fri Dec 26 12:48:13 2025  error -1 reading relation 107923057
Fri Dec 26 12:48:14 2025  error -1 reading relation 108889256
Fri Dec 26 12:48:15 2025  error -1 reading relation 109503113
Fri Dec 26 12:48:16 2025  error -1 reading relation 111152864
Fri Dec 26 12:48:17 2025  error -1 reading relation 112626140
Fri Dec 26 12:48:19 2025  error -1 reading relation 114290593
Fri Dec 26 12:48:22 2025  error -1 reading relation 117926791
Fri Dec 26 12:48:25 2025  error -1 reading relation 121171890
Fri Dec 26 12:48:25 2025  error -1 reading relation 121171891
Fri Dec 26 12:48:25 2025  error -1 reading relation 121171892
Fri Dec 26 12:48:30 2025  error -1 reading relation 125604340
Fri Dec 26 12:48:31 2025  error -1 reading relation 126772245
Fri Dec 26 12:48:34 2025  error -1 reading relation 129175576
Fri Dec 26 12:48:35 2025  error -5 reading relation 130441221
Fri Dec 26 12:48:35 2025  error -1 reading relation 130608780
Fri Dec 26 12:48:36 2025  error -1 reading relation 131185113
Fri Dec 26 12:48:36 2025  error -1 reading relation 131306259
Fri Dec 26 12:48:36 2025  error -1 reading relation 131306260
Fri Dec 26 12:48:36 2025  error -1 reading relation 131547990
Fri Dec 26 12:48:36 2025  error -1 reading relation 131547991
Fri Dec 26 12:48:36 2025  error -1 reading relation 131547992
Fri Dec 26 12:48:36 2025  error -1 reading relation 131673351
Fri Dec 26 12:48:36 2025  error -1 reading relation 131673352
Fri Dec 26 12:48:37 2025  error -1 reading relation 133077597
Fri Dec 26 12:48:41 2025  error -1 reading relation 138012233
Fri Dec 26 12:48:41 2025  error -1 reading relation 138065533
Fri Dec 26 12:48:41 2025  error -1 reading relation 138065534
Fri Dec 26 12:48:44 2025  error -1 reading relation 141867785
Fri Dec 26 12:48:44 2025  error -1 reading relation 141927442
Fri Dec 26 12:48:45 2025  error -1 reading relation 143099988
Fri Dec 26 12:48:46 2025  error -1 reading relation 144188312
Fri Dec 26 12:49:03 2025  error -1 reading relation 157619083
Fri Dec 26 12:49:14 2025  error -1 reading relation 169265553
Fri Dec 26 12:49:16 2025  error -1 reading relation 171756915
Fri Dec 26 12:49:18 2025  error -1 reading relation 174634770
Fri Dec 26 12:49:18 2025  error -1 reading relation 174634771
Fri Dec 26 12:49:20 2025  error -1 reading relation 176409054
Fri Dec 26 12:49:20 2025  error -1 reading relation 176409055
Fri Dec 26 12:49:20 2025  error -1 reading relation 176409056
Fri Dec 26 12:49:20 2025  error -1 reading relation 176628348
Fri Dec 26 12:49:22 2025  error -1 reading relation 179024055
Fri Dec 26 12:49:23 2025  error -1 reading relation 179471058
Fri Dec 26 12:49:23 2025  error -1 reading relation 179471059
Fri Dec 26 12:49:23 2025  error -1 reading relation 179924539
Fri Dec 26 12:49:23 2025  error -1 reading relation 180307465
Fri Dec 26 12:49:33 2025  error -1 reading relation 189409592
Fri Dec 26 12:49:33 2025  skipped 1 relations with b > 2^32
Fri Dec 26 12:49:33 2025  skipped 85 malformed relations
Fri Dec 26 12:49:33 2025  found 32265349 hash collisions in 190342192 relations
Fri Dec 26 12:49:40 2025  added 1218046 free relations
Fri Dec 26 12:49:40 2025  commencing duplicate removal, pass 2
Fri Dec 26 12:50:48 2025  found 30461601 duplicates and 161098637 unique relations
Fri Dec 26 12:50:48 2025  memory use: 852.8 MB
Fri Dec 26 12:50:48 2025  reading ideals above 720000
Fri Dec 26 12:50:48 2025  commencing singleton removal, initial pass
Fri Dec 26 12:57:17 2025  memory use: 3012.0 MB
Fri Dec 26 12:57:17 2025  reading all ideals from disk
Fri Dec 26 12:57:20 2025  memory use: 7257.2 MB
Fri Dec 26 12:57:29 2025  keeping 153124576 ideals with weight <= 200, target excess is 826132
Fri Dec 26 12:57:40 2025  commencing in-memory singleton removal
Fri Dec 26 12:57:42 2025  begin with 161098637 relations and 153124576 unique ideals
Fri Dec 26 12:57:57 2025  reduce to 86715749 relations and 69085845 ideals in 15 passes
Fri Dec 26 12:57:57 2025  max relations containing the same ideal: 142
Fri Dec 26 12:58:22 2025  removing 10356763 relations and 8356763 ideals in 2000000 cliques
Fri Dec 26 12:58:24 2025  commencing in-memory singleton removal
Fri Dec 26 12:58:25 2025  begin with 76358986 relations and 69085845 unique ideals
Fri Dec 26 12:58:30 2025  reduce to 75428562 relations and 59771708 ideals in 8 passes
Fri Dec 26 12:58:30 2025  max relations containing the same ideal: 131
Fri Dec 26 12:58:55 2025  removing 7972897 relations and 5972897 ideals in 2000000 cliques
Fri Dec 26 12:58:57 2025  commencing in-memory singleton removal
Fri Dec 26 12:58:57 2025  begin with 67455665 relations and 59771708 unique ideals
Fri Dec 26 12:59:02 2025  reduce to 66813648 relations and 53139818 ideals in 8 passes
Fri Dec 26 12:59:02 2025  max relations containing the same ideal: 116
Fri Dec 26 12:59:21 2025  removing 7264622 relations and 5264622 ideals in 2000000 cliques
Fri Dec 26 12:59:23 2025  commencing in-memory singleton removal
Fri Dec 26 12:59:24 2025  begin with 59549026 relations and 53139818 unique ideals
Fri Dec 26 12:59:28 2025  reduce to 58963081 relations and 47272701 ideals in 8 passes
Fri Dec 26 12:59:28 2025  max relations containing the same ideal: 106
Fri Dec 26 12:59:45 2025  removing 6901244 relations and 4901244 ideals in 2000000 cliques
Fri Dec 26 12:59:47 2025  commencing in-memory singleton removal
Fri Dec 26 12:59:47 2025  begin with 52061837 relations and 47272701 unique ideals
Fri Dec 26 12:59:51 2025  reduce to 51481381 relations and 41772943 ideals in 8 passes
Fri Dec 26 12:59:51 2025  max relations containing the same ideal: 101
Fri Dec 26 13:00:06 2025  removing 6691306 relations and 4691306 ideals in 2000000 cliques
Fri Dec 26 13:00:07 2025  commencing in-memory singleton removal
Fri Dec 26 13:00:08 2025  begin with 44790075 relations and 41772943 unique ideals
Fri Dec 26 13:00:11 2025  reduce to 44189732 relations and 36460235 ideals in 8 passes
Fri Dec 26 13:00:11 2025  max relations containing the same ideal: 89
Fri Dec 26 13:00:24 2025  removing 6553651 relations and 4553651 ideals in 2000000 cliques
Fri Dec 26 13:00:25 2025  commencing in-memory singleton removal
Fri Dec 26 13:00:26 2025  begin with 37636081 relations and 36460235 unique ideals
Fri Dec 26 13:00:28 2025  reduce to 36981206 relations and 31225467 ideals in 8 passes
Fri Dec 26 13:00:28 2025  max relations containing the same ideal: 79
Fri Dec 26 13:00:39 2025  removing 6472789 relations and 4472789 ideals in 2000000 cliques
Fri Dec 26 13:00:40 2025  commencing in-memory singleton removal
Fri Dec 26 13:00:41 2025  begin with 30508417 relations and 31225467 unique ideals
Fri Dec 26 13:00:43 2025  reduce to 29758654 relations and 25967378 ideals in 8 passes
Fri Dec 26 13:00:43 2025  max relations containing the same ideal: 66
Fri Dec 26 13:00:51 2025  removing 6428752 relations and 4428752 ideals in 2000000 cliques
Fri Dec 26 13:00:53 2025  commencing in-memory singleton removal
Fri Dec 26 13:00:53 2025  begin with 23329902 relations and 25967378 unique ideals
Fri Dec 26 13:00:54 2025  reduce to 22418403 relations and 20572701 ideals in 9 passes
Fri Dec 26 13:00:54 2025  max relations containing the same ideal: 56
Fri Dec 26 13:01:01 2025  removing 3369482 relations and 2482094 ideals in 887388 cliques
Fri Dec 26 13:01:02 2025  commencing in-memory singleton removal
Fri Dec 26 13:01:02 2025  begin with 19048921 relations and 20572701 unique ideals
Fri Dec 26 13:01:03 2025  reduce to 18697162 relations and 17726105 ideals in 8 passes
Fri Dec 26 13:01:03 2025  max relations containing the same ideal: 49
Fri Dec 26 13:01:10 2025  removing 93777 relations and 81034 ideals in 12743 cliques
Fri Dec 26 13:01:10 2025  commencing in-memory singleton removal
Fri Dec 26 13:01:10 2025  begin with 18603385 relations and 17726105 unique ideals
Fri Dec 26 13:01:11 2025  reduce to 18603114 relations and 17644800 ideals in 8 passes
Fri Dec 26 13:01:11 2025  max relations containing the same ideal: 49
Fri Dec 26 13:01:12 2025  relations with 0 large ideals: 29277
Fri Dec 26 13:01:12 2025  relations with 1 large ideals: 30453
Fri Dec 26 13:01:12 2025  relations with 2 large ideals: 346351
Fri Dec 26 13:01:12 2025  relations with 3 large ideals: 1605200
Fri Dec 26 13:01:12 2025  relations with 4 large ideals: 3822193
Fri Dec 26 13:01:12 2025  relations with 5 large ideals: 5204140
Fri Dec 26 13:01:12 2025  relations with 6 large ideals: 4281421
Fri Dec 26 13:01:12 2025  relations with 7+ large ideals: 3284079
Fri Dec 26 13:01:12 2025  commencing 2-way merge
Fri Dec 26 13:01:20 2025  reduce to 11583228 relation sets and 10624914 unique ideals
Fri Dec 26 13:01:20 2025  commencing full merge
Fri Dec 26 13:03:47 2025  memory use: 1354.8 MB
Fri Dec 26 13:03:48 2025  found 5781386 cycles, need 5655114
Fri Dec 26 13:03:50 2025  weight of 5655114 cycles is about 509245489 (90.05/cycle)
Fri Dec 26 13:03:50 2025  distribution of cycle lengths:
Fri Dec 26 13:03:50 2025  1 relations: 406371
Fri Dec 26 13:03:50 2025  2 relations: 473728
Fri Dec 26 13:03:50 2025  3 relations: 513843
Fri Dec 26 13:03:50 2025  4 relations: 517828
Fri Dec 26 13:03:50 2025  5 relations: 518566
Fri Dec 26 13:03:50 2025  6 relations: 498264
Fri Dec 26 13:03:50 2025  7 relations: 471262
Fri Dec 26 13:03:50 2025  8 relations: 427623
Fri Dec 26 13:03:50 2025  9 relations: 378466
Fri Dec 26 13:03:50 2025  10+ relations: 1449163
Fri Dec 26 13:03:50 2025  heaviest cycle: 22 relations
Fri Dec 26 13:03:51 2025  commencing cycle optimization
Fri Dec 26 13:04:00 2025  start with 38968951 relations
Fri Dec 26 13:04:49 2025  pruned 1315447 relations
Fri Dec 26 13:04:50 2025  memory use: 1160.3 MB
Fri Dec 26 13:04:50 2025  distribution of cycle lengths:
Fri Dec 26 13:04:50 2025  1 relations: 406371
Fri Dec 26 13:04:50 2025  2 relations: 484270
Fri Dec 26 13:04:50 2025  3 relations: 533184
Fri Dec 26 13:04:50 2025  4 relations: 536634
Fri Dec 26 13:04:50 2025  5 relations: 540118
Fri Dec 26 13:04:50 2025  6 relations: 517709
Fri Dec 26 13:04:50 2025  7 relations: 489549
Fri Dec 26 13:04:50 2025  8 relations: 440084
Fri Dec 26 13:04:50 2025  9 relations: 385798
Fri Dec 26 13:04:50 2025  10+ relations: 1321397
Fri Dec 26 13:04:50 2025  heaviest cycle: 22 relations
Fri Dec 26 13:04:57 2025  RelProcTime: 1093
Fri Dec 26 13:04:57 2025
Fri Dec 26 13:04:57 2025  commencing linear algebra
Fri Dec 26 13:04:57 2025  using VBITS=256
Fri Dec 26 13:04:57 2025  read 5655114 cycles
Fri Dec 26 13:05:04 2025  cycles contain 18052278 unique relations
Fri Dec 26 13:05:18 2025  read 18052278 relations
Fri Dec 26 13:05:22 2025  using 20 quadratic characters above 4294917295
Fri Dec 26 13:05:28 2025  building initial matrix
Fri Dec 26 13:07:47 2025  memory use: 2317.9 MB
Fri Dec 26 13:07:48 2025  read 5655114 cycles
Fri Dec 26 13:07:49 2025  matrix is 5654934 x 5655114 (2084.2 MB) with weight 614650954 (108.69/col)
Fri Dec 26 13:07:49 2025  sparse part has weight 484161013 (85.61/col)
Fri Dec 26 13:08:20 2025  filtering completed in 2 passes
Fri Dec 26 13:08:21 2025  matrix is 5653658 x 5653829 (2084.1 MB) with weight 614599562 (108.71/col)
Fri Dec 26 13:08:21 2025  sparse part has weight 484138954 (85.63/col)
Fri Dec 26 13:08:33 2025  matrix starts at (0, 0)
Fri Dec 26 13:08:34 2025  matrix is 5653658 x 5653829 (2084.1 MB) with weight 614599562 (108.71/col)
Fri Dec 26 13:08:34 2025  sparse part has weight 484138954 (85.63/col)
Fri Dec 26 13:08:34 2025  saving the first 240 matrix rows for later
Fri Dec 26 13:08:34 2025  matrix includes 256 packed rows
Fri Dec 26 13:08:35 2025  matrix is 5653418 x 5653829 (1916.7 MB) with weight 437020994 (77.30/col)
Fri Dec 26 13:08:35 2025  sparse part has weight 411983588 (72.87/col)
Fri Dec 26 13:08:36 2025  using GPU 0 (NVIDIA GeForce RTX 5070)
Fri Dec 26 13:08:36 2025  selected card has CUDA arch 12.0
Fri Dec 26 13:08:59 2025  commencing Lanczos iteration
Fri Dec 26 13:09:00 2025  memory use: 4566.7 MB
Fri Dec 26 13:09:13 2025  linear algebra at 0.5%, ETA 0h39m
Fri Dec 26 13:09:33 2025  checking every 130000 dimensions, checkpointing every 8450000 dimensions
Fri Dec 26 13:49:51 2025  lanczos halted after 22151 iterations (dim = 5653415)
Fri Dec 26 13:50:20 2025  recovered 33 nontrivial dependencies
Fri Dec 26 13:50:21 2025  BLanczosTime: 2724
Fri Dec 26 13:50:21 2025
Fri Dec 26 13:50:21 2025  commencing square root phase
Fri Dec 26 13:50:21 2025  reading relations for dependency 1
Fri Dec 26 13:50:37 2025  read 2825186 cycles
Fri Dec 26 13:50:42 2025  cycles contain 9022846 unique relations
Fri Dec 26 13:53:40 2025  read 9022846 relations
Fri Dec 26 13:54:21 2025  multiplying 9022846 relations
Fri Dec 26 13:55:07 2025  multiply complete, coefficients have about 230.90 million bits
Fri Dec 26 13:55:08 2025  initial square root is modulo 193355857
Fri Dec 26 13:56:49 2025  GCD is 1, no factor found
Fri Dec 26 13:56:49 2025  reading relations for dependency 2
Fri Dec 26 13:56:49 2025  read 2828752 cycles
Fri Dec 26 13:56:54 2025  cycles contain 9029654 unique relations
Fri Dec 26 13:57:15 2025  read 9029654 relations
Fri Dec 26 13:57:54 2025  multiplying 9029654 relations
Fri Dec 26 13:58:34 2025  multiply complete, coefficients have about 231.07 million bits
Fri Dec 26 13:58:35 2025  initial square root is modulo 196135663
Fri Dec 26 14:00:14 2025  sqrtTime: 593
Fri Dec 26 14:00:14 2025  p62 factor: 24265206538643925698681455432912526791538429370978528354342869
Fri Dec 26 14:00:14 2025  p158 factor: 16045840954818700693529855179368945367998170714527492792344177500464766595332180513517582968496550348423349252892242344592163599757970495224238983876255205499
Fri Dec 26 14:00:14 2025  elapsed time 01:13:31