C171_3408_1748

Sun Aug 06 21:05:02 2023
Sun Aug 06 21:05:02 2023
Sun Aug 06 21:05:02 2023  Msieve v. 1.54 (SVN Unversioned directory)
Sun Aug 06 21:05:02 2023  random seeds: 9a3a1e48 0beed3d9
Sun Aug 06 21:05:02 2023  factoring 186930866548841425796364392473126425663203119523150549271668408180729840320381202218951719401062051969850181610742638595356911106907693974851617131740976339430239469153627 (171 digits)
Sun Aug 06 21:05:03 2023  searching for 15-digit factors
Sun Aug 06 21:05:03 2023  commencing number field sieve (171-digit input)
Sun Aug 06 21:05:03 2023  R0: -1139092412971097341579281864747008
Sun Aug 06 21:05:03 2023  R1: 1431975650298720985666949
Sun Aug 06 21:05:03 2023  A0: 397117104985340562330325254293659120601916
Sun Aug 06 21:05:03 2023  A1: 113085365636087703229241741977273104
Sun Aug 06 21:05:03 2023  A2: -107364235069364155910149993
Sun Aug 06 21:05:03 2023  A3: -1010081699868535799059
Sun Aug 06 21:05:03 2023  A4: 2712477723552
Sun Aug 06 21:05:03 2023  A5: 388080
Sun Aug 06 21:05:03 2023  skew 21323334.00, size 1.396e-016, alpha -8.003, combined = 3.540e-013 rroots = 5
Sun Aug 06 21:05:03 2023
Sun Aug 06 21:05:03 2023  commencing relation filtering
Sun Aug 06 21:05:03 2023  setting target matrix density to 110.0
Sun Aug 06 21:05:03 2023  estimated available RAM is 32642.9 MB
Sun Aug 06 21:05:03 2023  commencing duplicate removal, pass 1
Sun Aug 06 21:05:05 2023  error -15 reading relation 297447
Sun Aug 06 21:05:37 2023  error -9 reading relation 4231428
Sun Aug 06 21:06:55 2023  error -9 reading relation 14080774
Sun Aug 06 21:07:36 2023  error -15 reading relation 19257457
Sun Aug 06 21:21:22 2023  error -5 reading relation 122834580
Sun Aug 06 21:21:27 2023  error -15 reading relation 123498150
Sun Aug 06 21:21:29 2023  error -15 reading relation 123638230
Sun Aug 06 21:21:30 2023  skipped 37 relations with composite factors
Sun Aug 06 21:21:30 2023  found 25012569 hash collisions in 123787539 relations
Sun Aug 06 21:21:55 2023  commencing duplicate removal, pass 2
Sun Aug 06 21:23:01 2023  found 24448212 duplicates and 99339327 unique relations
Sun Aug 06 21:23:01 2023  memory use: 660.8 MB
Sun Aug 06 21:23:01 2023  reading ideals above 720000
Sun Aug 06 21:23:01 2023  commencing singleton removal, initial pass
Sun Aug 06 21:35:54 2023  memory use: 2756.0 MB
Sun Aug 06 21:35:54 2023  reading all ideals from disk
Sun Aug 06 21:35:56 2023  memory use: 3878.1 MB
Sun Aug 06 21:36:04 2023  keeping 90935348 ideals with weight <= 200, target excess is 559871
Sun Aug 06 21:36:14 2023  commencing in-memory singleton removal
Sun Aug 06 21:36:22 2023  begin with 99339327 relations and 90935348 unique ideals
Sun Aug 06 21:37:26 2023  reduce to 65223005 relations and 53463581 ideals in 13 passes
Sun Aug 06 21:37:26 2023  max relations containing the same ideal: 158
Sun Aug 06 21:37:54 2023  removing 8887535 relations and 6887535 ideals in 2000000 cliques
Sun Aug 06 21:37:57 2023  commencing in-memory singleton removal
Sun Aug 06 21:38:01 2023  begin with 56335470 relations and 53463581 unique ideals
Sun Aug 06 21:38:36 2023  reduce to 55415426 relations and 45622624 ideals in 8 passes
Sun Aug 06 21:38:36 2023  max relations containing the same ideal: 143
Sun Aug 06 21:39:01 2023  removing 7035012 relations and 5035012 ideals in 2000000 cliques
Sun Aug 06 21:39:04 2023  commencing in-memory singleton removal
Sun Aug 06 21:39:07 2023  begin with 48380414 relations and 45622624 unique ideals
Sun Aug 06 21:39:36 2023  reduce to 47703850 relations and 39887635 ideals in 8 passes
Sun Aug 06 21:39:36 2023  max relations containing the same ideal: 134
Sun Aug 06 21:39:58 2023  removing 6547771 relations and 4547771 ideals in 2000000 cliques
Sun Aug 06 21:40:00 2023  commencing in-memory singleton removal
Sun Aug 06 21:40:03 2023  begin with 41156079 relations and 39887635 unique ideals
Sun Aug 06 21:40:27 2023  reduce to 40507429 relations and 34666866 ideals in 8 passes
Sun Aug 06 21:40:27 2023  max relations containing the same ideal: 115
Sun Aug 06 21:40:45 2023  removing 6326466 relations and 4326466 ideals in 2000000 cliques
Sun Aug 06 21:40:47 2023  commencing in-memory singleton removal
Sun Aug 06 21:40:49 2023  begin with 34180963 relations and 34666866 unique ideals
Sun Aug 06 21:41:08 2023  reduce to 33500766 relations and 29631184 ideals in 8 passes
Sun Aug 06 21:41:08 2023  max relations containing the same ideal: 101
Sun Aug 06 21:41:24 2023  removing 6220564 relations and 4220564 ideals in 2000000 cliques
Sun Aug 06 21:41:26 2023  commencing in-memory singleton removal
Sun Aug 06 21:41:28 2023  begin with 27280202 relations and 29631184 unique ideals
Sun Aug 06 21:41:43 2023  reduce to 26506634 relations and 24597307 ideals in 8 passes
Sun Aug 06 21:41:43 2023  max relations containing the same ideal: 85
Sun Aug 06 21:41:55 2023  removing 4275291 relations and 3015415 ideals in 1259876 cliques
Sun Aug 06 21:41:56 2023  commencing in-memory singleton removal
Sun Aug 06 21:41:58 2023  begin with 22231343 relations and 24597307 unique ideals
Sun Aug 06 21:42:08 2023  reduce to 21766940 relations and 21098337 ideals in 7 passes
Sun Aug 06 21:42:08 2023  max relations containing the same ideal: 75
Sun Aug 06 21:42:18 2023  removing 131199 relations and 112047 ideals in 19152 cliques
Sun Aug 06 21:42:19 2023  commencing in-memory singleton removal
Sun Aug 06 21:42:21 2023  begin with 21635741 relations and 21098337 unique ideals
Sun Aug 06 21:42:26 2023  reduce to 21635308 relations and 20985856 ideals in 4 passes
Sun Aug 06 21:42:26 2023  max relations containing the same ideal: 74
Sun Aug 06 21:42:30 2023  relations with 0 large ideals: 1806
Sun Aug 06 21:42:30 2023  relations with 1 large ideals: 7087
Sun Aug 06 21:42:30 2023  relations with 2 large ideals: 99773
Sun Aug 06 21:42:30 2023  relations with 3 large ideals: 649057
Sun Aug 06 21:42:30 2023  relations with 4 large ideals: 2249024
Sun Aug 06 21:42:30 2023  relations with 5 large ideals: 4609139
Sun Aug 06 21:42:30 2023  relations with 6 large ideals: 5907303
Sun Aug 06 21:42:30 2023  relations with 7+ large ideals: 8112119
Sun Aug 06 21:42:30 2023  commencing 2-way merge
Sun Aug 06 21:42:43 2023  reduce to 14169002 relation sets and 13519550 unique ideals
Sun Aug 06 21:42:43 2023  commencing full merge
Sun Aug 06 21:47:39 2023  memory use: 1731.3 MB
Sun Aug 06 21:47:42 2023  found 6715654 cycles, need 6637750
Sun Aug 06 21:47:43 2023  weight of 6637750 cycles is about 730259946 (110.02/cycle)
Sun Aug 06 21:47:43 2023  distribution of cycle lengths:
Sun Aug 06 21:47:43 2023  1 relations: 323899
Sun Aug 06 21:47:43 2023  2 relations: 476240
Sun Aug 06 21:47:43 2023  3 relations: 556823
Sun Aug 06 21:47:43 2023  4 relations: 577803
Sun Aug 06 21:47:43 2023  5 relations: 588403
Sun Aug 06 21:47:43 2023  6 relations: 577397
Sun Aug 06 21:47:43 2023  7 relations: 548276
Sun Aug 06 21:47:43 2023  8 relations: 507768
Sun Aug 06 21:47:43 2023  9 relations: 456814
Sun Aug 06 21:47:43 2023  10+ relations: 2024327
Sun Aug 06 21:47:43 2023  heaviest cycle: 25 relations
Sun Aug 06 21:47:46 2023  commencing cycle optimization
Sun Aug 06 21:47:56 2023  start with 50411789 relations
Sun Aug 06 21:49:48 2023  pruned 2184212 relations
Sun Aug 06 21:49:48 2023  memory use: 1415.3 MB
Sun Aug 06 21:49:48 2023  distribution of cycle lengths:
Sun Aug 06 21:49:48 2023  1 relations: 323899
Sun Aug 06 21:49:48 2023  2 relations: 489852
Sun Aug 06 21:49:48 2023  3 relations: 583383
Sun Aug 06 21:49:48 2023  4 relations: 603953
Sun Aug 06 21:49:48 2023  5 relations: 620143
Sun Aug 06 21:49:48 2023  6 relations: 605359
Sun Aug 06 21:49:48 2023  7 relations: 575821
Sun Aug 06 21:49:48 2023  8 relations: 527065
Sun Aug 06 21:49:48 2023  9 relations: 470638
Sun Aug 06 21:49:48 2023  10+ relations: 1837637
Sun Aug 06 21:49:48 2023  heaviest cycle: 25 relations
Sun Aug 06 21:49:57 2023  RelProcTime: 2694
Sun Aug 06 21:49:57 2023
Sun Aug 06 21:49:57 2023  commencing linear algebra
Sun Aug 06 21:49:58 2023  read 6637750 cycles
Sun Aug 06 21:50:10 2023  cycles contain 21286504 unique relations
Sun Aug 06 21:52:21 2023  read 21286504 relations
Sun Aug 06 21:52:50 2023  using 20 quadratic characters above 4294917295
Sun Aug 06 21:54:15 2023  building initial matrix
Sun Aug 06 21:58:19 2023  memory use: 2990.8 MB
Sun Aug 06 21:58:25 2023  read 6637750 cycles
Sun Aug 06 21:58:27 2023  matrix is 6637573 x 6637750 (2879.8 MB) with weight 883484577 (133.10/col)
Sun Aug 06 21:58:27 2023  sparse part has weight 681896899 (102.73/col)
Sun Aug 06 21:59:41 2023  filtering completed in 2 passes
Sun Aug 06 21:59:42 2023  matrix is 6637205 x 6637380 (2879.7 MB) with weight 883467064 (133.10/col)
Sun Aug 06 21:59:42 2023  sparse part has weight 681890915 (102.73/col)
Sun Aug 06 22:00:00 2023  matrix starts at (0, 0)
Sun Aug 06 22:00:01 2023  matrix is 6637205 x 6637380 (2879.7 MB) with weight 883467064 (133.10/col)
Sun Aug 06 22:00:01 2023  sparse part has weight 681890915 (102.73/col)
Sun Aug 06 22:00:01 2023  saving the first 240 matrix rows for later
Sun Aug 06 22:00:04 2023  matrix includes 256 packed rows
Sun Aug 06 22:00:06 2023  matrix is 6636965 x 6637380 (2611.6 MB) with weight 618615027 (93.20/col)
Sun Aug 06 22:00:06 2023  sparse part has weight 578406086 (87.14/col)
Sun Aug 06 22:00:06 2023  using block size 8192 and superblock size 196608 for processor cache size 8192 kB
Sun Aug 06 22:00:25 2023  commencing Lanczos iteration (8 threads)
Sun Aug 06 22:00:25 2023  memory use: 3672.6 MB
Sun Aug 06 22:00:53 2023  linear algebra at 0.0%, ETA 28h51m
Sun Aug 06 22:01:01 2023  checkpointing every 240000 dimensions
Tue Aug 08 02:56:16 2023  lanczos halted after 26005 iterations (dim = 6636963)
Tue Aug 08 02:57:07 2023  recovered 28 nontrivial dependencies
Tue Aug 08 02:57:09 2023  BLanczosTime: 104832
Tue Aug 08 02:57:09 2023
Tue Aug 08 02:57:09 2023  commencing square root phase
Tue Aug 08 02:57:09 2023  handling dependencies 1 to 64
Tue Aug 08 02:57:09 2023  reading relations for dependency 1
Tue Aug 08 02:57:10 2023  read 3320198 cycles
Tue Aug 08 02:57:17 2023  cycles contain 10642214 unique relations
Tue Aug 08 02:58:41 2023  read 10642214 relations
Tue Aug 08 02:59:29 2023  multiplying 10642214 relations
Tue Aug 08 03:12:51 2023  multiply complete, coefficients have about 603.99 million bits
Tue Aug 08 03:12:56 2023  initial square root is modulo 262253
Tue Aug 08 03:28:39 2023  GCD is N, no factor found
Tue Aug 08 03:28:39 2023  reading relations for dependency 2
Tue Aug 08 03:28:41 2023  read 3318757 cycles
Tue Aug 08 03:28:46 2023  cycles contain 10639926 unique relations
Tue Aug 08 03:30:02 2023  read 10639926 relations
Tue Aug 08 03:30:50 2023  multiplying 10639926 relations
Tue Aug 08 03:44:09 2023  multiply complete, coefficients have about 603.85 million bits
Tue Aug 08 03:44:14 2023  initial square root is modulo 261523
Tue Aug 08 03:59:38 2023  GCD is 1, no factor found
Tue Aug 08 03:59:38 2023  reading relations for dependency 3
Tue Aug 08 03:59:40 2023  read 3318274 cycles
Tue Aug 08 03:59:45 2023  cycles contain 10642536 unique relations
Tue Aug 08 04:01:00 2023  read 10642536 relations
Tue Aug 08 04:01:49 2023  multiplying 10642536 relations
Tue Aug 08 04:15:10 2023  multiply complete, coefficients have about 604.00 million bits
Tue Aug 08 04:15:14 2023  initial square root is modulo 262349
Tue Aug 08 04:30:58 2023  sqrtTime: 5629
Tue Aug 08 04:30:58 2023  p60 factor: 255505578857342724715327215149058081689532520142744977009243
Tue Aug 08 04:30:58 2023  p111 factor: 731611682941808308034153275698799003093319405041414931580894758752912423968453109985773793909827282028727417089
Tue Aug 08 04:30:58 2023  elapsed time 31:25:56