Wed May 20 10:35:31 2026
Wed May 20 10:35:31 2026
Wed May 20 10:35:31 2026  Msieve v. 1.54 (SVN 1018)
Wed May 20 10:35:31 2026  random seeds: b335ba24 37393585
Wed May 20 10:35:31 2026  factoring 406143706967605765962945026066824307630676927152951635375561913511110672112532399146235777552751551338719860487322977815865282022533776825730569709059318151 (156 digits)
Wed May 20 10:35:32 2026  searching for 15-digit factors
Wed May 20 10:35:32 2026  commencing number field sieve (156-digit input)
Wed May 20 10:35:32 2026  R0: 1965379259981194750461788065326
Wed May 20 10:35:32 2026  R1: -393223769259330782581
Wed May 20 10:35:32 2026  A0: -7238294746138631855020799915723196260
Wed May 20 10:35:32 2026  A1: 12942885464138500920058522249703
Wed May 20 10:35:32 2026  A2: -1092223694931388703423422
Wed May 20 10:35:32 2026  A3: -2249293639907289307
Wed May 20 10:35:32 2026  A4: -100114450882
Wed May 20 10:35:32 2026  A5: 27720
Wed May 20 10:35:32 2026  skew 3637652.03, size 5.879e-015, alpha -6.839, combined = 3.329e-012 rroots = 5
Wed May 20 10:35:32 2026
Wed May 20 10:35:32 2026  commencing relation filtering
Wed May 20 10:35:32 2026  setting target matrix density to 100.0
Wed May 20 10:35:32 2026  estimated available RAM is 130978.7 MB
Wed May 20 10:35:32 2026  commencing duplicate removal, pass 1
Wed May 20 10:41:22 2026  error -9 reading relation 46259488
Wed May 20 10:41:27 2026  error -1 reading relation 46913317
Wed May 20 10:41:51 2026  error -1 reading relation 50617370
Wed May 20 10:41:52 2026  error -15 reading relation 50644062
Wed May 20 10:41:56 2026  error -15 reading relation 51209521
Wed May 20 10:42:24 2026  error -1 reading relation 55244164
Wed May 20 10:43:18 2026  error -9 reading relation 63342355
Wed May 20 10:43:53 2026  skipped 2 relations with composite factors
Wed May 20 10:43:53 2026  found 9637536 hash collisions in 68473675 relations
Wed May 20 10:44:20 2026  added 122036 free relations
Wed May 20 10:44:20 2026  commencing duplicate removal, pass 2
Wed May 20 10:44:57 2026  found 8957516 duplicates and 59638195 unique relations
Wed May 20 10:44:57 2026  memory use: 394.4 MB
Wed May 20 10:44:57 2026  reading ideals above 720000
Wed May 20 10:44:57 2026  commencing singleton removal, initial pass
Wed May 20 10:51:45 2026  memory use: 1506.0 MB
Wed May 20 10:51:45 2026  reading all ideals from disk
Wed May 20 10:51:47 2026  memory use: 2130.7 MB
Wed May 20 10:51:53 2026  keeping 59942453 ideals with weight <= 200, target excess is 320218
Wed May 20 10:52:00 2026  commencing in-memory singleton removal
Wed May 20 10:52:06 2026  begin with 59638195 relations and 59942453 unique ideals
Wed May 20 10:53:06 2026  reduce to 29748076 relations and 26137065 ideals in 18 passes
Wed May 20 10:53:06 2026  max relations containing the same ideal: 134
Wed May 20 10:53:22 2026  removing 2868843 relations and 2468843 ideals in 400000 cliques
Wed May 20 10:53:23 2026  commencing in-memory singleton removal
Wed May 20 10:53:25 2026  begin with 26879233 relations and 26137065 unique ideals
Wed May 20 10:53:50 2026  reduce to 26675407 relations and 23460946 ideals in 9 passes
Wed May 20 10:53:50 2026  max relations containing the same ideal: 122
Wed May 20 10:54:04 2026  removing 2163949 relations and 1763949 ideals in 400000 cliques
Wed May 20 10:54:05 2026  commencing in-memory singleton removal
Wed May 20 10:54:07 2026  begin with 24511458 relations and 23460946 unique ideals
Wed May 20 10:54:27 2026  reduce to 24379020 relations and 21562550 ideals in 8 passes
Wed May 20 10:54:27 2026  max relations containing the same ideal: 113
Wed May 20 10:54:40 2026  removing 1946861 relations and 1546861 ideals in 400000 cliques
Wed May 20 10:54:41 2026  commencing in-memory singleton removal
Wed May 20 10:54:43 2026  begin with 22432159 relations and 21562550 unique ideals
Wed May 20 10:55:05 2026  reduce to 22314657 relations and 19896311 ideals in 10 passes
Wed May 20 10:55:05 2026  max relations containing the same ideal: 108
Wed May 20 10:55:17 2026  removing 1833415 relations and 1433415 ideals in 400000 cliques
Wed May 20 10:55:18 2026  commencing in-memory singleton removal
Wed May 20 10:55:20 2026  begin with 20481242 relations and 19896311 unique ideals
Wed May 20 10:55:36 2026  reduce to 20367471 relations and 18347373 ideals in 8 passes
Wed May 20 10:55:36 2026  max relations containing the same ideal: 101
Wed May 20 10:55:47 2026  removing 1762960 relations and 1362960 ideals in 400000 cliques
Wed May 20 10:55:48 2026  commencing in-memory singleton removal
Wed May 20 10:55:50 2026  begin with 18604511 relations and 18347373 unique ideals
Wed May 20 10:56:04 2026  reduce to 18489171 relations and 16867086 ideals in 8 passes
Wed May 20 10:56:04 2026  max relations containing the same ideal: 93
Wed May 20 10:56:14 2026  removing 1720061 relations and 1320061 ideals in 400000 cliques
Wed May 20 10:56:15 2026  commencing in-memory singleton removal
Wed May 20 10:56:16 2026  begin with 16769110 relations and 16867086 unique ideals
Wed May 20 10:56:27 2026  reduce to 16649363 relations and 15425105 ideals in 7 passes
Wed May 20 10:56:27 2026  max relations containing the same ideal: 87
Wed May 20 10:56:36 2026  removing 1692566 relations and 1292566 ideals in 400000 cliques
Wed May 20 10:56:37 2026  commencing in-memory singleton removal
Wed May 20 10:56:38 2026  begin with 14956797 relations and 15425105 unique ideals
Wed May 20 10:56:51 2026  reduce to 14829418 relations and 14002483 ideals in 9 passes
Wed May 20 10:56:51 2026  max relations containing the same ideal: 82
Wed May 20 10:56:58 2026  removing 1676407 relations and 1276407 ideals in 400000 cliques
Wed May 20 10:56:59 2026  commencing in-memory singleton removal
Wed May 20 10:57:00 2026  begin with 13153011 relations and 14002483 unique ideals
Wed May 20 10:57:08 2026  reduce to 13012934 relations and 12582802 ideals in 7 passes
Wed May 20 10:57:08 2026  max relations containing the same ideal: 76
Wed May 20 10:57:15 2026  removing 356107 relations and 297428 ideals in 58679 cliques
Wed May 20 10:57:15 2026  commencing in-memory singleton removal
Wed May 20 10:57:17 2026  begin with 12656827 relations and 12582802 unique ideals
Wed May 20 10:57:23 2026  reduce to 12651028 relations and 12279553 ideals in 6 passes
Wed May 20 10:57:23 2026  max relations containing the same ideal: 75
Wed May 20 10:57:26 2026  relations with 0 large ideals: 1061
Wed May 20 10:57:26 2026  relations with 1 large ideals: 4406
Wed May 20 10:57:26 2026  relations with 2 large ideals: 65299
Wed May 20 10:57:26 2026  relations with 3 large ideals: 423821
Wed May 20 10:57:26 2026  relations with 4 large ideals: 1459324
Wed May 20 10:57:26 2026  relations with 5 large ideals: 2919677
Wed May 20 10:57:26 2026  relations with 6 large ideals: 3555851
Wed May 20 10:57:26 2026  relations with 7+ large ideals: 4221589
Wed May 20 10:57:26 2026  commencing 2-way merge
Wed May 20 10:57:35 2026  reduce to 7769724 relation sets and 7398248 unique ideals
Wed May 20 10:57:35 2026  commencing full merge
Wed May 20 11:00:22 2026  memory use: 948.4 MB
Wed May 20 11:00:23 2026  found 3712359 cycles, need 3666448
Wed May 20 11:00:23 2026  weight of 3666448 cycles is about 366862268 (100.06/cycle)
Wed May 20 11:00:23 2026  distribution of cycle lengths:
Wed May 20 11:00:23 2026  1 relations: 265359
Wed May 20 11:00:23 2026  2 relations: 302178
Wed May 20 11:00:23 2026  3 relations: 321525
Wed May 20 11:00:23 2026  4 relations: 311275
Wed May 20 11:00:23 2026  5 relations: 305604
Wed May 20 11:00:23 2026  6 relations: 292181
Wed May 20 11:00:23 2026  7 relations: 275895
Wed May 20 11:00:23 2026  8 relations: 255032
Wed May 20 11:00:23 2026  9 relations: 231242
Wed May 20 11:00:23 2026  10+ relations: 1106157
Wed May 20 11:00:23 2026  heaviest cycle: 24 relations
Wed May 20 11:00:25 2026  commencing cycle optimization
Wed May 20 11:00:30 2026  start with 27117398 relations
Wed May 20 11:01:30 2026  pruned 957913 relations
Wed May 20 11:01:30 2026  memory use: 797.8 MB
Wed May 20 11:01:30 2026  distribution of cycle lengths:
Wed May 20 11:01:30 2026  1 relations: 265359
Wed May 20 11:01:30 2026  2 relations: 309537
Wed May 20 11:01:30 2026  3 relations: 334455
Wed May 20 11:01:30 2026  4 relations: 322241
Wed May 20 11:01:30 2026  5 relations: 318189
Wed May 20 11:01:30 2026  6 relations: 302360
Wed May 20 11:01:30 2026  7 relations: 285520
Wed May 20 11:01:30 2026  8 relations: 262627
Wed May 20 11:01:30 2026  9 relations: 236479
Wed May 20 11:01:30 2026  10+ relations: 1029681
Wed May 20 11:01:30 2026  heaviest cycle: 23 relations
Wed May 20 11:01:34 2026  RelProcTime: 1562
Wed May 20 11:01:34 2026
Wed May 20 11:01:34 2026  commencing linear algebra
Wed May 20 11:01:35 2026  read 3666448 cycles
Wed May 20 11:01:42 2026  cycles contain 12435073 unique relations
Wed May 20 11:02:48 2026  read 12435073 relations
Wed May 20 11:03:07 2026  using 20 quadratic characters above 4294917295
Wed May 20 11:03:59 2026  building initial matrix
Wed May 20 11:06:02 2026  memory use: 1664.9 MB
Wed May 20 11:06:06 2026  read 3666448 cycles
Wed May 20 11:06:06 2026  matrix is 3666271 x 3666448 (1487.1 MB) with weight 458543315 (125.06/col)
Wed May 20 11:06:06 2026  sparse part has weight 345833019 (94.32/col)
Wed May 20 11:06:52 2026  filtering completed in 2 passes
Wed May 20 11:06:53 2026  matrix is 3665819 x 3665996 (1487.0 MB) with weight 458521276 (125.07/col)
Wed May 20 11:06:53 2026  sparse part has weight 345825393 (94.33/col)
Wed May 20 11:07:04 2026  matrix starts at (0, 0)
Wed May 20 11:07:05 2026  matrix is 3665819 x 3665996 (1487.0 MB) with weight 458521276 (125.07/col)
Wed May 20 11:07:05 2026  sparse part has weight 345825393 (94.33/col)
Wed May 20 11:07:05 2026  saving the first 48 matrix rows for later
Wed May 20 11:07:06 2026  matrix includes 64 packed rows
Wed May 20 11:07:06 2026  matrix is 3665771 x 3665996 (1440.2 MB) with weight 383668240 (104.66/col)
Wed May 20 11:07:06 2026  sparse part has weight 340882373 (92.98/col)
Wed May 20 11:07:06 2026  using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
Wed May 20 11:07:24 2026  commencing Lanczos iteration (24 threads)
Wed May 20 11:07:24 2026  memory use: 1173.9 MB
Wed May 20 11:07:29 2026  linear algebra at 0.0%, ETA 3h21m
Wed May 20 11:07:30 2026  checkpointing every 1220000 dimensions
Wed May 20 14:20:52 2026  lanczos halted after 57972 iterations (dim = 3665769)
Wed May 20 14:20:56 2026  recovered 29 nontrivial dependencies
Wed May 20 14:20:57 2026  BLanczosTime: 11963
Wed May 20 14:20:57 2026
Wed May 20 14:20:57 2026  commencing square root phase
Wed May 20 14:20:57 2026  handling dependencies 1 to 64
Wed May 20 14:20:57 2026  reading relations for dependency 1
Wed May 20 14:20:58 2026  read 1832745 cycles
Wed May 20 14:21:01 2026  cycles contain 6219336 unique relations
Wed May 20 14:21:45 2026  read 6219336 relations
Wed May 20 14:22:14 2026  multiplying 6219336 relations
Wed May 20 14:27:06 2026  multiply complete, coefficients have about 312.94 million bits
Wed May 20 14:27:08 2026  initial square root is modulo 412397
Wed May 20 14:32:46 2026  sqrtTime: 709
Wed May 20 14:32:46 2026  p67 factor: 1018384079171981471425091098043479885703689690975494136661763345293
Wed May 20 14:32:46 2026  p90 factor: 398811917108748815815610312577131584572304293899866640805450498169662679392197133856772707
Wed May 20 14:32:46 2026  elapsed time 03:57:15