Tue Jan 27 13:00:12 2026
Tue Jan 27 13:00:12 2026
Tue Jan 27 13:00:12 2026  Msieve v. 1.54 (SVN Unversioned directory)
Tue Jan 27 13:00:12 2026  random seeds: b5107fce 73c6bba7
Tue Jan 27 13:00:12 2026  Using 8 OpenMP threads
Tue Jan 27 13:00:12 2026  factoring 422195370259778310793675458226463712001001761732104008523489829554580112576485844684576469064763472166641119044203775316990753165583111646590853059638382047 (156 digits)
Tue Jan 27 13:00:13 2026  searching for 15-digit factors
Tue Jan 27 13:00:13 2026  commencing number field sieve (156-digit input)
Tue Jan 27 13:00:13 2026  R0: -2833991169170591828877423832858
Tue Jan 27 13:00:13 2026  R1: 12216221950248176129
Tue Jan 27 13:00:13 2026  A0: -34093577167568170361301401207638105224
Tue Jan 27 13:00:13 2026  A1: -5611786111334436369192377583473
Tue Jan 27 13:00:13 2026  A2: 35904248508906633703258186
Tue Jan 27 13:00:13 2026  A3: 385801571272100383
Tue Jan 27 13:00:13 2026  A4: -224494717992
Tue Jan 27 13:00:13 2026  A5: 4620
Tue Jan 27 13:00:13 2026  skew 1.00, size 5.906e-15, alpha -7.634, combined = 1.875e-14 rroots = 5
Tue Jan 27 13:00:13 2026
Tue Jan 27 13:00:13 2026  commencing relation filtering
Tue Jan 27 13:00:13 2026  estimated available RAM is 78540.1 MB
Tue Jan 27 13:00:13 2026  commencing duplicate removal, pass 1
Tue Jan 27 13:01:14 2026  error -1 reading relation 20932278
Tue Jan 27 13:04:17 2026  skipped 14 malformed relations
Tue Jan 27 13:04:17 2026  found 11106106 hash collisions in 89380655 relations
Tue Jan 27 13:04:35 2026  added 122168 free relations
Tue Jan 27 13:04:35 2026  commencing duplicate removal, pass 2
Tue Jan 27 13:05:24 2026  found 9207937 duplicates and 80294886 unique relations
Tue Jan 27 13:05:24 2026  memory use: 426.4 MB
Tue Jan 27 13:05:24 2026  reading ideals above 720000
Tue Jan 27 13:05:24 2026  commencing singleton removal, initial pass
Tue Jan 27 13:13:47 2026  memory use: 1506.0 MB
Tue Jan 27 13:13:47 2026  reading all ideals from disk
Tue Jan 27 13:13:51 2026  memory use: 3514.1 MB
Tue Jan 27 13:13:58 2026  keeping 81380465 ideals with weight <= 200, target excess is 412947
Tue Jan 27 13:14:07 2026  commencing in-memory singleton removal
Tue Jan 27 13:14:09 2026  begin with 80294886 relations and 81380465 unique ideals
Tue Jan 27 13:14:27 2026  reduce to 38792911 relations and 33838604 ideals in 20 passes
Tue Jan 27 13:14:27 2026  max relations containing the same ideal: 132
Tue Jan 27 13:14:51 2026  removing 6139091 relations and 5139091 ideals in 1000000 cliques
Tue Jan 27 13:14:53 2026  commencing in-memory singleton removal
Tue Jan 27 13:14:54 2026  begin with 32653820 relations and 33838604 unique ideals
Tue Jan 27 13:14:58 2026  reduce to 31905065 relations and 27926138 ideals in 9 passes
Tue Jan 27 13:14:58 2026  max relations containing the same ideal: 114
Tue Jan 27 13:15:18 2026  removing 4656716 relations and 3656716 ideals in 1000000 cliques
Tue Jan 27 13:15:20 2026  commencing in-memory singleton removal
Tue Jan 27 13:15:21 2026  begin with 27248349 relations and 27926138 unique ideals
Tue Jan 27 13:15:26 2026  reduce to 26716828 relations and 23720998 ideals in 10 passes
Tue Jan 27 13:15:26 2026  max relations containing the same ideal: 102
Tue Jan 27 13:15:42 2026  removing 4217113 relations and 3217113 ideals in 1000000 cliques
Tue Jan 27 13:15:44 2026  commencing in-memory singleton removal
Tue Jan 27 13:15:44 2026  begin with 22499715 relations and 23720998 unique ideals
Tue Jan 27 13:15:47 2026  reduce to 21980222 relations and 19966040 ideals in 9 passes
Tue Jan 27 13:15:47 2026  max relations containing the same ideal: 88
Tue Jan 27 13:16:02 2026  removing 4014312 relations and 3014312 ideals in 1000000 cliques
Tue Jan 27 13:16:03 2026  commencing in-memory singleton removal
Tue Jan 27 13:16:04 2026  begin with 17965910 relations and 19966040 unique ideals
Tue Jan 27 13:16:06 2026  reduce to 17400723 relations and 16363199 ideals in 10 passes
Tue Jan 27 13:16:06 2026  max relations containing the same ideal: 76
Tue Jan 27 13:16:15 2026  removing 2515563 relations and 1957058 ideals in 558505 cliques
Tue Jan 27 13:16:16 2026  commencing in-memory singleton removal
Tue Jan 27 13:16:17 2026  begin with 14885160 relations and 16363199 unique ideals
Tue Jan 27 13:16:20 2026  reduce to 14627800 relations and 14141294 ideals in 9 passes
Tue Jan 27 13:16:20 2026  max relations containing the same ideal: 67
Tue Jan 27 13:16:33 2026  relations with 0 large ideals: 1363
Tue Jan 27 13:16:33 2026  relations with 1 large ideals: 7196
Tue Jan 27 13:16:33 2026  relations with 2 large ideals: 99794
Tue Jan 27 13:16:33 2026  relations with 3 large ideals: 612619
Tue Jan 27 13:16:33 2026  relations with 4 large ideals: 1967210
Tue Jan 27 13:16:33 2026  relations with 5 large ideals: 3644084
Tue Jan 27 13:16:33 2026  relations with 6 large ideals: 4088328
Tue Jan 27 13:16:33 2026  relations with 7+ large ideals: 4207206
Tue Jan 27 13:16:33 2026  commencing 2-way merge
Tue Jan 27 13:16:44 2026  reduce to 8779920 relation sets and 8293414 unique ideals
Tue Jan 27 13:16:44 2026  commencing full merge
Tue Jan 27 13:20:41 2026  memory use: 1054.4 MB
Tue Jan 27 13:20:42 2026  found 4314989 cycles, need 4249614
Tue Jan 27 13:20:44 2026  weight of 4249614 cycles is about 382973767 (90.12/cycle)
Tue Jan 27 13:20:44 2026  distribution of cycle lengths:
Tue Jan 27 13:20:44 2026  1 relations: 391122
Tue Jan 27 13:20:44 2026  2 relations: 396746
Tue Jan 27 13:20:44 2026  3 relations: 402074
Tue Jan 27 13:20:44 2026  4 relations: 384842
Tue Jan 27 13:20:44 2026  5 relations: 372596
Tue Jan 27 13:20:44 2026  6 relations: 344929
Tue Jan 27 13:20:44 2026  7 relations: 323631
Tue Jan 27 13:20:44 2026  8 relations: 291790
Tue Jan 27 13:20:44 2026  9 relations: 257989
Tue Jan 27 13:20:44 2026  10+ relations: 1083895
Tue Jan 27 13:20:44 2026  heaviest cycle: 23 relations
Tue Jan 27 13:20:46 2026  commencing cycle optimization
Tue Jan 27 13:20:57 2026  start with 28825603 relations
Tue Jan 27 13:22:07 2026  pruned 908343 relations
Tue Jan 27 13:22:07 2026  memory use: 887.7 MB
Tue Jan 27 13:22:07 2026  distribution of cycle lengths:
Tue Jan 27 13:22:07 2026  1 relations: 391122
Tue Jan 27 13:22:07 2026  2 relations: 406469
Tue Jan 27 13:22:07 2026  3 relations: 417339
Tue Jan 27 13:22:07 2026  4 relations: 396803
Tue Jan 27 13:22:07 2026  5 relations: 385729
Tue Jan 27 13:22:07 2026  6 relations: 355388
Tue Jan 27 13:22:07 2026  7 relations: 332686
Tue Jan 27 13:22:07 2026  8 relations: 298509
Tue Jan 27 13:22:07 2026  9 relations: 261935
Tue Jan 27 13:22:07 2026  10+ relations: 1003634
Tue Jan 27 13:22:07 2026  heaviest cycle: 23 relations
Tue Jan 27 13:22:17 2026  RelProcTime: 1324
Tue Jan 27 13:22:18 2026
Tue Jan 27 13:22:18 2026  commencing linear algebra
Tue Jan 27 13:22:18 2026  using VBITS=256
Tue Jan 27 13:22:18 2026  read 4249614 cycles
Tue Jan 27 13:22:27 2026  cycles contain 14226894 unique relations
Tue Jan 27 13:22:55 2026  read 14226894 relations
Tue Jan 27 13:23:00 2026  using 20 quadratic characters above 4294917295
Tue Jan 27 13:23:09 2026  building initial matrix
Tue Jan 27 13:26:38 2026  memory use: 1908.8 MB
Tue Jan 27 13:26:41 2026  read 4249614 cycles
Tue Jan 27 13:26:42 2026  matrix is 4249434 x 4249614 (1581.0 MB) with weight 490574216 (115.44/col)
Tue Jan 27 13:26:42 2026  sparse part has weight 363457415 (85.53/col)
Tue Jan 27 13:27:20 2026  filtering completed in 2 passes
Tue Jan 27 13:27:22 2026  matrix is 4248084 x 4248263 (1580.9 MB) with weight 490505749 (115.46/col)
Tue Jan 27 13:27:22 2026  sparse part has weight 363431858 (85.55/col)
Tue Jan 27 13:27:33 2026  matrix starts at (0, 0)
Tue Jan 27 13:27:33 2026  matrix is 4248084 x 4248263 (1580.9 MB) with weight 490505749 (115.46/col)
Tue Jan 27 13:27:33 2026  sparse part has weight 363431858 (85.55/col)
Tue Jan 27 13:27:33 2026  saving the first 240 matrix rows for later
Tue Jan 27 13:27:34 2026  matrix includes 256 packed rows
Tue Jan 27 13:27:35 2026  matrix is 4247844 x 4248263 (1432.8 MB) with weight 330197852 (77.73/col)
Tue Jan 27 13:27:35 2026  sparse part has weight 307615675 (72.41/col)
Tue Jan 27 13:27:35 2026  using GPU 0 (NVIDIA GeForce RTX 5070)
Tue Jan 27 13:27:35 2026  selected card has CUDA arch 12.0
Tue Jan 27 13:28:00 2026  commencing Lanczos iteration
Tue Jan 27 13:28:01 2026  memory use: 3416.5 MB
Tue Jan 27 13:28:11 2026  linear algebra at 0.7%, ETA 0h22m
Tue Jan 27 13:28:25 2026  checking every 190000 dimensions, checkpointing every 11590000 dimensions
Tue Jan 27 13:49:33 2026  lanczos halted after 16644 iterations (dim = 4247842)
Tue Jan 27 13:49:53 2026  recovered 27 nontrivial dependencies
Tue Jan 27 13:49:53 2026  BLanczosTime: 1655
Tue Jan 27 13:49:53 2026
Tue Jan 27 13:49:53 2026  commencing square root phase
Tue Jan 27 13:49:53 2026  reading relations for dependency 1
Tue Jan 27 13:49:55 2026  read 2123025 cycles
Tue Jan 27 13:49:59 2026  cycles contain 7112404 unique relations
Tue Jan 27 13:50:21 2026  read 7112404 relations
Tue Jan 27 13:50:53 2026  multiplying 7112404 relations
Tue Jan 27 13:51:45 2026  multiply complete, coefficients have about 347.94 million bits
Tue Jan 27 13:51:47 2026  initial square root is modulo 1750523
Tue Jan 27 13:53:50 2026  sqrtTime: 237
Tue Jan 27 13:53:50 2026  p72 factor: 394497003572990994947104531656491369100215482140123105762134684388134203
Tue Jan 27 13:53:50 2026  p85 factor: 1070211855694519825782011034791409192574405421121639454400999282872507413111572088749
Tue Jan 27 13:53:50 2026  elapsed time 00:53:38