Tue Apr 21 20:49:39 2026
Tue Apr 21 20:49:39 2026
Tue Apr 21 20:49:39 2026  Msieve v. 1.54 (SVN unknown)
Tue Apr 21 20:49:39 2026  random seeds: 87553de4 f58298bd
Tue Apr 21 20:49:39 2026  factoring 547628066102370513012153081412982779162317010122733293785561037571946401038936310492510155270210578498212037146868418242064005035090750467425824419619251893 (156 digits)
Tue Apr 21 20:49:39 2026  no P-1/P+1/ECM available, skipping
Tue Apr 21 20:49:39 2026  commencing number field sieve (156-digit input)
Tue Apr 21 20:49:39 2026  R0: -1556027269611592200481632521915
Tue Apr 21 20:49:39 2026  R1: 248555049789984239651
Tue Apr 21 20:49:39 2026  A0: -1607929271100557675662079046272336
Tue Apr 21 20:49:39 2026  A1: 70095651159810493977440127334
Tue Apr 21 20:49:39 2026  A2: 1392952719312047940810743
Tue Apr 21 20:49:39 2026  A3: -527981250582409729
Tue Apr 21 20:49:39 2026  A4: -2892380872302
Tue Apr 21 20:49:39 2026  A5: 1081080
Tue Apr 21 20:49:39 2026  skew 1.00, size 4.920e-15, alpha -6.193, combined = 6.217e-14 rroots = 5
Tue Apr 21 20:49:39 2026
Tue Apr 21 20:49:39 2026  commencing relation filtering
Tue Apr 21 20:49:39 2026  setting target matrix density to 80.0
Tue Apr 21 20:49:39 2026  estimated available RAM is 95911.2 MB
Tue Apr 21 20:49:39 2026  commencing duplicate removal, pass 1
Tue Apr 21 20:49:50 2026  error -15 reading relation 4256370
Tue Apr 21 20:50:56 2026  error -9 reading relation 27397450
Tue Apr 21 20:51:33 2026  error -15 reading relation 39448444
Tue Apr 21 20:51:35 2026  error -15 reading relation 40271520
Tue Apr 21 20:51:35 2026  error -9 reading relation 40292362
Tue Apr 21 20:51:35 2026  error -15 reading relation 40297574
Tue Apr 21 20:53:26 2026  error -15 reading relation 77093763
Tue Apr 21 20:53:31 2026  error -15 reading relation 78965350
Tue Apr 21 20:53:36 2026  error -5 reading relation 80433104
Tue Apr 21 20:53:53 2026  error -1 reading relation 86483914
Tue Apr 21 20:54:00 2026  error -9 reading relation 89308801
Tue Apr 21 20:54:09 2026  error -9 reading relation 92628551
Tue Apr 21 20:54:09 2026  error -5 reading relation 92633817
Tue Apr 21 20:54:16 2026  error -15 reading relation 95190528
Tue Apr 21 20:54:17 2026  error -9 reading relation 95663665
Tue Apr 21 20:54:18 2026  error -15 reading relation 95833666
Tue Apr 21 20:54:46 2026  error -5 reading relation 106466122
Tue Apr 21 20:54:46 2026  error -9 reading relation 106492773
Tue Apr 21 20:54:46 2026  error -15 reading relation 106545453
Tue Apr 21 20:54:47 2026  error -15 reading relation 106676625
Tue Apr 21 20:54:47 2026  skipped 6 relations with composite factors
Tue Apr 21 20:54:47 2026  found 16046965 hash collisions in 106837697 relations
Tue Apr 21 20:55:00 2026  added 122204 free relations
Tue Apr 21 20:55:00 2026  commencing duplicate removal, pass 2
Tue Apr 21 20:55:27 2026  found 14024035 duplicates and 92935866 unique relations
Tue Apr 21 20:55:27 2026  memory use: 426.4 MB
Tue Apr 21 20:55:27 2026  reading ideals above 720000
Tue Apr 21 20:55:28 2026  commencing singleton removal, initial pass
Tue Apr 21 20:59:49 2026  memory use: 2756.0 MB
Tue Apr 21 20:59:49 2026  reading all ideals from disk
Tue Apr 21 20:59:50 2026  memory use: 3336.3 MB
Tue Apr 21 20:59:52 2026  keeping 88997000 ideals with weight <= 200, target excess is 505309
Tue Apr 21 20:59:55 2026  commencing in-memory singleton removal
Tue Apr 21 20:59:56 2026  begin with 92935866 relations and 88997000 unique ideals
Tue Apr 21 21:00:15 2026  reduce to 48453471 relations and 39152099 ideals in 13 passes
Tue Apr 21 21:00:15 2026  max relations containing the same ideal: 134
Tue Apr 21 21:00:24 2026  removing 5418000 relations and 4418000 ideals in 1000000 cliques
Tue Apr 21 21:00:25 2026  commencing in-memory singleton removal
Tue Apr 21 21:00:25 2026  begin with 43035471 relations and 39152099 unique ideals
Tue Apr 21 21:00:35 2026  reduce to 42591391 relations and 34278739 ideals in 10 passes
Tue Apr 21 21:00:35 2026  max relations containing the same ideal: 123
Tue Apr 21 21:00:43 2026  removing 4149355 relations and 3149355 ideals in 1000000 cliques
Tue Apr 21 21:00:44 2026  commencing in-memory singleton removal
Tue Apr 21 21:00:44 2026  begin with 38442036 relations and 34278739 unique ideals
Tue Apr 21 21:00:51 2026  reduce to 38136426 relations and 30816516 ideals in 8 passes
Tue Apr 21 21:00:51 2026  max relations containing the same ideal: 115
Tue Apr 21 21:00:58 2026  removing 3779411 relations and 2779411 ideals in 1000000 cliques
Tue Apr 21 21:00:59 2026  commencing in-memory singleton removal
Tue Apr 21 21:00:59 2026  begin with 34357015 relations and 30816516 unique ideals
Tue Apr 21 21:01:05 2026  reduce to 34078203 relations and 27751487 ideals in 8 passes
Tue Apr 21 21:01:05 2026  max relations containing the same ideal: 106
Tue Apr 21 21:01:11 2026  removing 3589628 relations and 2589628 ideals in 1000000 cliques
Tue Apr 21 21:01:12 2026  commencing in-memory singleton removal
Tue Apr 21 21:01:12 2026  begin with 30488575 relations and 27751487 unique ideals
Tue Apr 21 21:01:16 2026  reduce to 30215027 relations and 24881155 ideals in 7 passes
Tue Apr 21 21:01:16 2026  max relations containing the same ideal: 102
Tue Apr 21 21:01:22 2026  removing 3479176 relations and 2479176 ideals in 1000000 cliques
Tue Apr 21 21:01:22 2026  commencing in-memory singleton removal
Tue Apr 21 21:01:23 2026  begin with 26735851 relations and 24881155 unique ideals
Tue Apr 21 21:01:26 2026  reduce to 26455523 relations and 22113384 ideals in 7 passes
Tue Apr 21 21:01:26 2026  max relations containing the same ideal: 92
Tue Apr 21 21:01:31 2026  removing 3413339 relations and 2413339 ideals in 1000000 cliques
Tue Apr 21 21:01:31 2026  commencing in-memory singleton removal
Tue Apr 21 21:01:32 2026  begin with 23042184 relations and 22113384 unique ideals
Tue Apr 21 21:01:34 2026  reduce to 22743156 relations and 19391278 ideals in 7 passes
Tue Apr 21 21:01:34 2026  max relations containing the same ideal: 84
Tue Apr 21 21:01:39 2026  removing 3370484 relations and 2370484 ideals in 1000000 cliques
Tue Apr 21 21:01:39 2026  commencing in-memory singleton removal
Tue Apr 21 21:01:39 2026  begin with 19372672 relations and 19391278 unique ideals
Tue Apr 21 21:01:41 2026  reduce to 19039671 relations and 16675143 ideals in 9 passes
Tue Apr 21 21:01:41 2026  max relations containing the same ideal: 74
Tue Apr 21 21:01:45 2026  removing 3346493 relations and 2346493 ideals in 1000000 cliques
Tue Apr 21 21:01:45 2026  commencing in-memory singleton removal
Tue Apr 21 21:01:46 2026  begin with 15693178 relations and 16675143 unique ideals
Tue Apr 21 21:01:47 2026  reduce to 15308735 relations and 13926920 ideals in 9 passes
Tue Apr 21 21:01:47 2026  max relations containing the same ideal: 64
Tue Apr 21 21:01:50 2026  removing 2778952 relations and 1983296 ideals in 795656 cliques
Tue Apr 21 21:01:50 2026  commencing in-memory singleton removal
Tue Apr 21 21:01:50 2026  begin with 12529783 relations and 13926920 unique ideals
Tue Apr 21 21:01:51 2026  reduce to 12197972 relations and 11597016 ideals in 8 passes
Tue Apr 21 21:01:51 2026  max relations containing the same ideal: 54
Tue Apr 21 21:01:53 2026  removing 106062 relations and 91265 ideals in 14797 cliques
Tue Apr 21 21:01:54 2026  commencing in-memory singleton removal
Tue Apr 21 21:01:54 2026  begin with 12091910 relations and 11597016 unique ideals
Tue Apr 21 21:01:54 2026  reduce to 12091390 relations and 11505230 ideals in 4 passes
Tue Apr 21 21:01:54 2026  max relations containing the same ideal: 53
Tue Apr 21 21:01:55 2026  relations with 0 large ideals: 1633
Tue Apr 21 21:01:55 2026  relations with 1 large ideals: 15458
Tue Apr 21 21:01:55 2026  relations with 2 large ideals: 187265
Tue Apr 21 21:01:55 2026  relations with 3 large ideals: 937944
Tue Apr 21 21:01:55 2026  relations with 4 large ideals: 2385811
Tue Apr 21 21:01:55 2026  relations with 5 large ideals: 3434107
Tue Apr 21 21:01:55 2026  relations with 6 large ideals: 2970209
Tue Apr 21 21:01:55 2026  relations with 7+ large ideals: 2158963
Tue Apr 21 21:01:55 2026  commencing 2-way merge
Tue Apr 21 21:01:58 2026  reduce to 7456739 relation sets and 6870579 unique ideals
Tue Apr 21 21:01:58 2026  commencing full merge
Tue Apr 21 21:02:42 2026  memory use: 830.3 MB
Tue Apr 21 21:02:43 2026  found 3866957 cycles, need 3786779
Tue Apr 21 21:02:43 2026  weight of 3786779 cycles is about 303235690 (80.08/cycle)
Tue Apr 21 21:02:43 2026  distribution of cycle lengths:
Tue Apr 21 21:02:43 2026  1 relations: 323268
Tue Apr 21 21:02:43 2026  2 relations: 371530
Tue Apr 21 21:02:43 2026  3 relations: 405502
Tue Apr 21 21:02:43 2026  4 relations: 407646
Tue Apr 21 21:02:43 2026  5 relations: 399210
Tue Apr 21 21:02:43 2026  6 relations: 375011
Tue Apr 21 21:02:43 2026  7 relations: 334227
Tue Apr 21 21:02:43 2026  8 relations: 286522
Tue Apr 21 21:02:43 2026  9 relations: 236146
Tue Apr 21 21:02:43 2026  10+ relations: 647717
Tue Apr 21 21:02:43 2026  heaviest cycle: 18 relations
Tue Apr 21 21:02:43 2026  commencing cycle optimization
Tue Apr 21 21:02:45 2026  start with 22585236 relations
Tue Apr 21 21:03:03 2026  pruned 662135 relations
Tue Apr 21 21:03:03 2026  memory use: 725.1 MB
Tue Apr 21 21:03:03 2026  distribution of cycle lengths:
Tue Apr 21 21:03:03 2026  1 relations: 323268
Tue Apr 21 21:03:03 2026  2 relations: 380382
Tue Apr 21 21:03:03 2026  3 relations: 421334
Tue Apr 21 21:03:03 2026  4 relations: 421410
Tue Apr 21 21:03:03 2026  5 relations: 414568
Tue Apr 21 21:03:03 2026  6 relations: 385632
Tue Apr 21 21:03:03 2026  7 relations: 343083
Tue Apr 21 21:03:03 2026  8 relations: 289415
Tue Apr 21 21:03:03 2026  9 relations: 234657
Tue Apr 21 21:03:03 2026  10+ relations: 573030
Tue Apr 21 21:03:03 2026  heaviest cycle: 18 relations
Tue Apr 21 21:03:04 2026  RelProcTime: 805
Tue Apr 21 21:03:04 2026
Tue Apr 21 21:03:04 2026  commencing linear algebra
Tue Apr 21 21:03:05 2026  read 3786779 cycles
Tue Apr 21 21:03:07 2026  cycles contain 11745497 unique relations
Tue Apr 21 21:03:32 2026  read 11745497 relations
Tue Apr 21 21:03:41 2026  using 20 quadratic characters above 4294917295
Tue Apr 21 21:04:04 2026  building initial matrix
Tue Apr 21 21:04:47 2026  memory use: 1597.0 MB
Tue Apr 21 21:04:48 2026  read 3786779 cycles
Tue Apr 21 21:04:48 2026  matrix is 3786599 x 3786779 (1266.3 MB) with weight 394555781 (104.19/col)
Tue Apr 21 21:04:48 2026  sparse part has weight 290311096 (76.66/col)
Tue Apr 21 21:04:59 2026  filtering completed in 2 passes
Tue Apr 21 21:04:59 2026  matrix is 3785562 x 3785742 (1266.3 MB) with weight 394514023 (104.21/col)
Tue Apr 21 21:04:59 2026  sparse part has weight 290297330 (76.68/col)
Tue Apr 21 21:05:02 2026  matrix starts at (0, 0)
Tue Apr 21 21:05:03 2026  matrix is 3785562 x 3785742 (1266.3 MB) with weight 394514023 (104.21/col)
Tue Apr 21 21:05:03 2026  sparse part has weight 290297330 (76.68/col)
Tue Apr 21 21:05:03 2026  saving the first 112 matrix rows for later
Tue Apr 21 21:05:03 2026  matrix includes 128 packed rows
Tue Apr 21 21:05:03 2026  matrix is 3785450 x 3785742 (1176.3 MB) with weight 283810437 (74.97/col)
Tue Apr 21 21:05:03 2026  sparse part has weight 262924833 (69.45/col)
Tue Apr 21 21:05:03 2026  using block size 8192 and superblock size 9437184 for processor cache size 196608 kB
Tue Apr 21 21:05:10 2026  commencing Lanczos iteration (32 threads)
Tue Apr 21 21:05:10 2026  memory use: 1365.4 MB
Tue Apr 21 21:05:10 2026  VBITS = 128
Tue Apr 21 21:05:11 2026  linear algebra at 0.0%, ETA 0h41m
Tue Apr 21 21:05:12 2026  checkpointing every 3660000 dimensions
Tue Apr 21 22:02:55 2026  lanczos halted after 29752 iterations (dim = 3785450)
Tue Apr 21 22:02:59 2026  recovered 30 nontrivial dependencies
Tue Apr 21 22:02:59 2026  BLanczosTime: 3595
Tue Apr 21 22:02:59 2026
Tue Apr 21 22:02:59 2026  commencing square root phase
Tue Apr 21 22:02:59 2026  handling dependencies 1 to 64
Tue Apr 21 22:02:59 2026  reading relations for dependency 1
Tue Apr 21 22:02:59 2026  read 1892729 cycles
Tue Apr 21 22:03:00 2026  cycles contain 5874088 unique relations
Tue Apr 21 22:03:17 2026  read 5874088 relations
Tue Apr 21 22:03:26 2026  multiplying 5874088 relations
Tue Apr 21 22:05:22 2026  multiply complete, coefficients have about 322.54 million bits
Tue Apr 21 22:05:23 2026  initial square root is modulo 612869
Tue Apr 21 22:07:48 2026  sqrtTime: 289
Tue Apr 21 22:07:48 2026  p76 factor: 1445210198509187676971781585194855028321622433770052498071326246701336522317
Tue Apr 21 22:07:48 2026  p81 factor: 378926239703593581529534567326903656017252903876765626603243547035794448704069129
Tue Apr 21 22:07:48 2026  elapsed time 01:18:09