Fri May 20 15:01:34 2016
Fri May 20 15:01:34 2016
Fri May 20 15:01:34 2016  Msieve v. 1.53 (SVN 984)
Fri May 20 15:01:34 2016  random seeds: 02680b00 103bf9cc
Fri May 20 15:01:34 2016  factoring 23914515631751256940020755067157031664428429857696700444735731395997203864572916189567108627196384914388067213776922495780684557092707307796434081540519980680036200020418718413668933958584119 (191 digits)
Fri May 20 15:01:34 2016  commencing number field sieve (191-digit input)
Fri May 20 15:01:34 2016  R0: 1276136419117121619201
Fri May 20 15:01:34 2016  R1: -15413179794770734626518662321719325259
Fri May 20 15:01:34 2016  A0: 26493891
Fri May 20 15:01:34 2016  A1: 0
Fri May 20 15:01:34 2016  A2: 0
Fri May 20 15:01:34 2016  A3: 0
Fri May 20 15:01:34 2016  A4: 0
Fri May 20 15:01:34 2016  A5: 0
Fri May 20 15:01:34 2016  A6: 1
Fri May 20 15:01:34 2016  skew 17.27, size 4.968e-12, alpha 0.324, combined = 4.009e-13 rroots = 0
Fri May 20 15:01:34 2016
Fri May 20 15:01:34 2016  commencing relation filtering
Fri May 20 15:01:34 2016  setting target matrix density to 120.0
Fri May 20 15:01:34 2016  estimated available RAM is 32091.8 MB
Fri May 20 15:01:34 2016  commencing duplicate removal, pass 1
Fri May 20 15:05:11 2016  error -15 reading relation 14462798
Fri May 20 15:05:11 2016  error -9 reading relation 14488520
Fri May 20 15:05:21 2016  error -15 reading relation 15429419
Fri May 20 15:15:28 2016  error -9 reading relation 69760944
Fri May 20 15:18:58 2016  error -1 reading relation 92450969
Fri May 20 15:19:36 2016  error -5 reading relation 96585311
Fri May 20 15:19:38 2016  error -1 reading relation 96911672
Fri May 20 15:19:47 2016  error -5 reading relation 97871774
Fri May 20 15:19:47 2016  error -5 reading relation 97882194
Fri May 20 15:20:03 2016  error -9 reading relation 99600527
Fri May 20 15:20:09 2016  error -9 reading relation 100197174
Fri May 20 15:20:22 2016  error -9 reading relation 101569700
Fri May 20 15:20:23 2016  error -9 reading relation 101705473
Fri May 20 15:20:27 2016  error -15 reading relation 102218459
Fri May 20 15:20:27 2016  error -9 reading relation 102224751
Fri May 20 15:21:43 2016  skipped 9 relations with composite factors
Fri May 20 15:21:43 2016  found 24659317 hash collisions in 110359017 relations
Fri May 20 15:22:02 2016  added 1218739 free relations
Fri May 20 15:22:02 2016  commencing duplicate removal, pass 2
Fri May 20 15:22:43 2016  found 25875641 duplicates and 85702115 unique relations
Fri May 20 15:22:43 2016  memory use: 660.8 MB
Fri May 20 15:22:43 2016  reading ideals above 720000
Fri May 20 15:22:43 2016  commencing singleton removal, initial pass
Fri May 20 15:35:48 2016  memory use: 2756.0 MB
Fri May 20 15:35:48 2016  reading all ideals from disk
Fri May 20 15:36:08 2016  memory use: 3291.1 MB
Fri May 20 15:36:19 2016  keeping 85891924 ideals with weight <= 200, target excess is 453553
Fri May 20 15:36:30 2016  commencing in-memory singleton removal
Fri May 20 15:36:35 2016  begin with 85702115 relations and 85891924 unique ideals
Fri May 20 15:37:24 2016  reduce to 48588857 relations and 44395056 ideals in 14 passes
Fri May 20 15:37:24 2016  max relations containing the same ideal: 143
Fri May 20 15:37:42 2016  removing 3065428 relations and 2665428 ideals in 400000 cliques
Fri May 20 15:37:43 2016  commencing in-memory singleton removal
Fri May 20 15:37:46 2016  begin with 45523429 relations and 44395056 unique ideals
Fri May 20 15:38:08 2016  reduce to 45379074 relations and 41583649 ideals in 8 passes
Fri May 20 15:38:08 2016  max relations containing the same ideal: 138
Fri May 20 15:38:25 2016  removing 2287155 relations and 1887155 ideals in 400000 cliques
Fri May 20 15:38:26 2016  commencing in-memory singleton removal
Fri May 20 15:38:28 2016  begin with 43091919 relations and 41583649 unique ideals
Fri May 20 15:38:50 2016  reduce to 43004600 relations and 39608310 ideals in 8 passes
Fri May 20 15:38:50 2016  max relations containing the same ideal: 134
Fri May 20 15:39:06 2016  removing 2040296 relations and 1640296 ideals in 400000 cliques
Fri May 20 15:39:07 2016  commencing in-memory singleton removal
Fri May 20 15:39:09 2016  begin with 40964304 relations and 39608310 unique ideals
Fri May 20 15:39:27 2016  reduce to 40891273 relations and 37894296 ideals in 7 passes
Fri May 20 15:39:27 2016  max relations containing the same ideal: 129
Fri May 20 15:39:42 2016  removing 1904206 relations and 1504206 ideals in 400000 cliques
Fri May 20 15:39:43 2016  commencing in-memory singleton removal
Fri May 20 15:39:46 2016  begin with 38987067 relations and 37894296 unique ideals
Fri May 20 15:40:03 2016  reduce to 38920657 relations and 36323022 ideals in 7 passes
Fri May 20 15:40:03 2016  max relations containing the same ideal: 126
Fri May 20 15:40:18 2016  removing 1814332 relations and 1414332 ideals in 400000 cliques
Fri May 20 15:40:19 2016  commencing in-memory singleton removal
Fri May 20 15:40:21 2016  begin with 37106325 relations and 36323022 unique ideals
Fri May 20 15:40:40 2016  reduce to 37043679 relations and 34845468 ideals in 7 passes
Fri May 20 15:40:40 2016  max relations containing the same ideal: 122
Fri May 20 15:41:00 2016  removing 1749971 relations and 1349971 ideals in 400000 cliques
Fri May 20 15:41:01 2016  commencing in-memory singleton removal
Fri May 20 15:41:04 2016  begin with 35293708 relations and 34845468 unique ideals
Fri May 20 15:41:33 2016  reduce to 35232533 relations and 33433742 ideals in 7 passes
Fri May 20 15:41:33 2016  max relations containing the same ideal: 118
Fri May 20 15:41:53 2016  removing 1702506 relations and 1302506 ideals in 400000 cliques
Fri May 20 15:41:54 2016  commencing in-memory singleton removal
Fri May 20 15:41:56 2016  begin with 33530027 relations and 33433742 unique ideals
Fri May 20 15:42:17 2016  reduce to 33469555 relations and 32070178 ideals in 7 passes
Fri May 20 15:42:17 2016  max relations containing the same ideal: 117
Fri May 20 15:42:29 2016  removing 1667922 relations and 1267922 ideals in 400000 cliques
Fri May 20 15:42:30 2016  commencing in-memory singleton removal
Fri May 20 15:42:32 2016  begin with 31801633 relations and 32070178 unique ideals
Fri May 20 15:42:46 2016  reduce to 31740156 relations and 30740121 ideals in 7 passes
Fri May 20 15:42:46 2016  max relations containing the same ideal: 113
Fri May 20 15:42:58 2016  removing 1639696 relations and 1239696 ideals in 400000 cliques
Fri May 20 15:42:59 2016  commencing in-memory singleton removal
Fri May 20 15:43:00 2016  begin with 30100460 relations and 30740121 unique ideals
Fri May 20 15:43:13 2016  reduce to 30037055 relations and 29436324 ideals in 7 passes
Fri May 20 15:43:13 2016  max relations containing the same ideal: 108
Fri May 20 15:43:24 2016  removing 399492 relations and 324883 ideals in 74609 cliques
Fri May 20 15:43:25 2016  commencing in-memory singleton removal
Fri May 20 15:43:26 2016  begin with 29637563 relations and 29436324 unique ideals
Fri May 20 15:43:37 2016  reduce to 29634044 relations and 29107915 ideals in 6 passes
Fri May 20 15:43:37 2016  max relations containing the same ideal: 107
Fri May 20 15:43:43 2016  relations with 0 large ideals: 15941
Fri May 20 15:43:43 2016  relations with 1 large ideals: 7798
Fri May 20 15:43:43 2016  relations with 2 large ideals: 71728
Fri May 20 15:43:43 2016  relations with 3 large ideals: 520407
Fri May 20 15:43:43 2016  relations with 4 large ideals: 2086528
Fri May 20 15:43:43 2016  relations with 5 large ideals: 5027385
Fri May 20 15:43:43 2016  relations with 6 large ideals: 7598944
Fri May 20 15:43:43 2016  relations with 7+ large ideals: 14305313
Fri May 20 15:43:43 2016  commencing 2-way merge
Fri May 20 15:43:59 2016  reduce to 20096068 relation sets and 19569939 unique ideals
Fri May 20 15:43:59 2016  commencing full merge
Fri May 20 15:51:39 2016  memory use: 2507.2 MB
Fri May 20 15:51:41 2016  found 8885024 cycles, need 8872139
Fri May 20 15:51:43 2016  weight of 8872139 cycles is about 1065268519 (120.07/cycle)
Fri May 20 15:51:43 2016  distribution of cycle lengths:
Fri May 20 15:51:43 2016  1 relations: 332548
Fri May 20 15:51:43 2016  2 relations: 551109
Fri May 20 15:51:43 2016  3 relations: 664896
Fri May 20 15:51:43 2016  4 relations: 685690
Fri May 20 15:51:43 2016  5 relations: 691434
Fri May 20 15:51:43 2016  6 relations: 663727
Fri May 20 15:51:43 2016  7 relations: 631786
Fri May 20 15:51:43 2016  8 relations: 588260
Fri May 20 15:51:43 2016  9 relations: 546263
Fri May 20 15:51:43 2016  10+ relations: 3516426
Fri May 20 15:51:43 2016  heaviest cycle: 28 relations
Fri May 20 15:51:45 2016  commencing cycle optimization
Fri May 20 15:52:02 2016  start with 79095524 relations
Fri May 20 15:54:58 2016  pruned 3568533 relations
Fri May 20 15:54:58 2016  memory use: 2053.1 MB
Fri May 20 15:54:58 2016  distribution of cycle lengths:
Fri May 20 15:54:58 2016  1 relations: 332548
Fri May 20 15:54:58 2016  2 relations: 566177
Fri May 20 15:54:58 2016  3 relations: 695628
Fri May 20 15:54:58 2016  4 relations: 715815
Fri May 20 15:54:58 2016  5 relations: 726825
Fri May 20 15:54:58 2016  6 relations: 693730
Fri May 20 15:54:58 2016  7 relations: 660994
Fri May 20 15:54:58 2016  8 relations: 610812
Fri May 20 15:54:58 2016  9 relations: 566067
Fri May 20 15:54:58 2016  10+ relations: 3303543
Fri May 20 15:54:58 2016  heaviest cycle: 28 relations
Fri May 20 15:55:13 2016  RelProcTime: 3219
Fri May 20 15:55:13 2016
Fri May 20 15:55:13 2016  commencing linear algebra
Fri May 20 15:55:17 2016  read 8872139 cycles
Fri May 20 15:55:38 2016  cycles contain 29375192 unique relations
Fri May 20 16:13:13 2016  read 29375192 relations
Fri May 20 16:14:02 2016  using 20 quadratic characters above 4294917295
Fri May 20 16:16:18 2016  building initial matrix
Fri May 20 16:22:26 2016  memory use: 3774.7 MB
Fri May 20 16:22:30 2016  read 8872139 cycles
Fri May 20 16:22:31 2016  matrix is 8871962 x 8872139 (4160.7 MB) with weight 1201426562 (135.42/col)
Fri May 20 16:22:31 2016  sparse part has weight 993117482 (111.94/col)
Fri May 20 16:24:35 2016  filtering completed in 2 passes
Fri May 20 16:24:37 2016  matrix is 8871891 x 8872068 (4160.7 MB) with weight 1201424216 (135.42/col)
Fri May 20 16:24:37 2016  sparse part has weight 993116838 (111.94/col)
Fri May 20 16:25:22 2016  matrix starts at (0, 0)
Fri May 20 16:25:24 2016  matrix is 8871891 x 8872068 (4160.7 MB) with weight 1201424216 (135.42/col)
Fri May 20 16:25:24 2016  sparse part has weight 993116838 (111.94/col)
Fri May 20 16:25:24 2016  saving the first 48 matrix rows for later
Fri May 20 16:25:26 2016  matrix includes 64 packed rows
Fri May 20 16:25:28 2016  matrix is 8871843 x 8872068 (3989.6 MB) with weight 1029181213 (116.00/col)
Fri May 20 16:25:28 2016  sparse part has weight 957122902 (107.88/col)
Fri May 20 16:25:28 2016  using block size 8192 and superblock size 1966080 for processor cache size 20480 kB
Fri May 20 16:26:19 2016  commencing Lanczos iteration (7 threads)
Fri May 20 16:26:19 2016  memory use: 3364.2 MB
Fri May 20 16:26:47 2016  linear algebra at 0.0%, ETA 43h44m
Fri May 20 16:26:55 2016  checkpointing every 210000 dimensions
Sun May 22 00:35:54 2016  lanczos halted after 140300 iterations (dim = 8871843)
Sun May 22 00:36:09 2016  recovered 39 nontrivial dependencies
Sun May 22 00:36:10 2016  BLanczosTime: 117657
Sun May 22 00:36:10 2016
Sun May 22 00:36:10 2016  commencing square root phase
Sun May 22 00:36:10 2016  handling dependencies 1 to 64
Sun May 22 00:36:10 2016  reading relations for dependency 1
Sun May 22 00:36:11 2016  read 4435788 cycles
Sun May 22 00:36:20 2016  cycles contain 14690362 unique relations
Sun May 22 00:38:04 2016  read 14690362 relations
Sun May 22 00:39:12 2016  multiplying 14690362 relations
Sun May 22 00:53:49 2016  multiply complete, coefficients have about 395.59 million bits
Sun May 22 00:53:51 2016  initial square root is modulo 12537529
Sun May 22 01:08:35 2016  sqrtTime: 1945
Sun May 22 01:08:35 2016  p82 factor: 7794679849585961133626459038697467488737010075794342941289577929831164159136111359
Sun May 22 01:08:35 2016  p109 factor: 3068056173342584614299696078305420535097567533819861333668403291305917505842960760350540500422434115205917641
Sun May 22 01:08:35 2016  elapsed time 34:07:01