Fri Jun 10 09:10:48 2016
Fri Jun 10 09:10:48 2016
Fri Jun 10 09:10:48 2016  Msieve v. 1.53 (SVN 988M)
Fri Jun 10 09:10:48 2016  random seeds: e2e74096 60a16185
Fri Jun 10 09:10:48 2016  factoring 28344454669700937982797444186466415325033706181577067762896190374123447455026338392621835475575676811056079977697169861657343481666798534725443344378573209949905770568060681199953 (179 digits)
Fri Jun 10 09:10:48 2016  searching for 15-digit factors
Fri Jun 10 09:10:49 2016  commencing number field sieve (179-digit input)
Fri Jun 10 09:10:49 2016  R0: 1348279907365869037210940254745047725673
Fri Jun 10 09:10:49 2016  R1: -14551915228366851806640625
Fri Jun 10 09:10:49 2016  A0: 9125
Fri Jun 10 09:10:49 2016  A1: 0
Fri Jun 10 09:10:49 2016  A2: 0
Fri Jun 10 09:10:49 2016  A3: 0
Fri Jun 10 09:10:49 2016  A4: 0
Fri Jun 10 09:10:49 2016  A5: 0
Fri Jun 10 09:10:49 2016  A6: 1
Fri Jun 10 09:10:49 2016  skew 4.57, size 1.244e-11, alpha -1.187, combined = 7.561e-13 rroots = 0
Fri Jun 10 09:10:49 2016
Fri Jun 10 09:10:49 2016  commencing relation filtering
Fri Jun 10 09:10:49 2016  setting target matrix density to 120.0
Fri Jun 10 09:10:49 2016  estimated available RAM is 16384.0 MB
Fri Jun 10 09:10:49 2016  commencing duplicate removal, pass 1
Fri Jun 10 09:24:51 2016  error -5 reading relation 122704220
Fri Jun 10 09:28:04 2016  error -15 reading relation 150760422
Fri Jun 10 09:28:06 2016  error -15 reading relation 151048133
Fri Jun 10 09:28:06 2016  error -9 reading relation 151138937
Fri Jun 10 09:29:07 2016  error -9 reading relation 159953805
Fri Jun 10 09:31:58 2016  error -9 reading relation 184932815
Fri Jun 10 09:32:05 2016  error -9 reading relation 186019977
Fri Jun 10 09:34:31 2016  error -9 reading relation 207268060
Fri Jun 10 09:34:55 2016  error -5 reading relation 210813710
Fri Jun 10 09:34:55 2016  error -15 reading relation 210915001
Fri Jun 10 09:35:42 2016  error -9 reading relation 217834089
Fri Jun 10 09:35:47 2016  error -15 reading relation 218473420
Fri Jun 10 09:35:48 2016  error -11 reading relation 218694795
Fri Jun 10 09:35:48 2016  error -5 reading relation 218714771
Fri Jun 10 09:36:09 2016  error -9 reading relation 221892948
Fri Jun 10 09:36:24 2016  error -5 reading relation 223989350
Fri Jun 10 09:36:26 2016  skipped 2 relations with b > 2^32
Fri Jun 10 09:36:26 2016  skipped 10 relations with composite factors
Fri Jun 10 09:36:26 2016  found 36485305 hash collisions in 224378549 relations
Fri Jun 10 09:36:39 2016  added 1219510 free relations
Fri Jun 10 09:36:39 2016  commencing duplicate removal, pass 2
Fri Jun 10 09:39:46 2016  found 32953318 duplicates and 192644741 unique relations
Fri Jun 10 09:39:46 2016  memory use: 1321.5 MB
Fri Jun 10 09:39:46 2016  reading ideals above 102301696
Fri Jun 10 09:39:46 2016  commencing singleton removal, initial pass
Fri Jun 10 09:56:56 2016  memory use: 3012.0 MB
Fri Jun 10 09:56:56 2016  reading all ideals from disk
Fri Jun 10 09:57:04 2016  memory use: 3418.4 MB
Fri Jun 10 09:57:12 2016  commencing in-memory singleton removal
Fri Jun 10 09:57:19 2016  begin with 192644741 relations and 160815963 unique ideals
Fri Jun 10 09:58:32 2016  reduce to 123302410 relations and 84129070 ideals in 13 passes
Fri Jun 10 09:58:32 2016  max relations containing the same ideal: 34
Fri Jun 10 09:58:41 2016  reading ideals above 720000
Fri Jun 10 09:58:42 2016  commencing singleton removal, initial pass
Fri Jun 10 10:13:02 2016  memory use: 2756.0 MB
Fri Jun 10 10:13:02 2016  reading all ideals from disk
Fri Jun 10 10:13:19 2016  memory use: 4706.8 MB
Fri Jun 10 10:13:32 2016  keeping 95288144 ideals with weight <= 200, target excess is 612605
Fri Jun 10 10:13:42 2016  commencing in-memory singleton removal
Fri Jun 10 10:13:51 2016  begin with 123302410 relations and 95288144 unique ideals
Fri Jun 10 10:14:39 2016  reduce to 123301328 relations and 95287062 ideals in 6 passes
Fri Jun 10 10:14:39 2016  max relations containing the same ideal: 200
Fri Jun 10 10:15:21 2016  removing 10475599 relations and 8475599 ideals in 2000000 cliques
Fri Jun 10 10:15:24 2016  commencing in-memory singleton removal
Fri Jun 10 10:15:33 2016  begin with 112825729 relations and 95287062 unique ideals
Fri Jun 10 10:16:30 2016  reduce to 112173960 relations and 86146410 ideals in 8 passes
Fri Jun 10 10:16:30 2016  max relations containing the same ideal: 195
Fri Jun 10 10:17:09 2016  removing 7933351 relations and 5933351 ideals in 2000000 cliques
Fri Jun 10 10:17:11 2016  commencing in-memory singleton removal
Fri Jun 10 10:17:19 2016  begin with 104240609 relations and 86146410 unique ideals
Fri Jun 10 10:18:11 2016  reduce to 103804688 relations and 79769432 ideals in 8 passes
Fri Jun 10 10:18:11 2016  max relations containing the same ideal: 189
Fri Jun 10 10:18:47 2016  removing 7195448 relations and 5195448 ideals in 2000000 cliques
Fri Jun 10 10:18:49 2016  commencing in-memory singleton removal
Fri Jun 10 10:18:56 2016  begin with 96609240 relations and 79769432 unique ideals
Fri Jun 10 10:19:38 2016  reduce to 96227857 relations and 74185726 ideals in 7 passes
Fri Jun 10 10:19:38 2016  max relations containing the same ideal: 180
Fri Jun 10 10:20:11 2016  removing 6809333 relations and 4809333 ideals in 2000000 cliques
Fri Jun 10 10:20:14 2016  commencing in-memory singleton removal
Fri Jun 10 10:20:20 2016  begin with 89418524 relations and 74185726 unique ideals
Fri Jun 10 10:20:58 2016  reduce to 89059672 relations and 69010936 ideals in 7 passes
Fri Jun 10 10:20:58 2016  max relations containing the same ideal: 173
Fri Jun 10 10:21:29 2016  removing 6572048 relations and 4572048 ideals in 2000000 cliques
Fri Jun 10 10:21:31 2016  commencing in-memory singleton removal
Fri Jun 10 10:21:37 2016  begin with 82487624 relations and 69010936 unique ideals
Fri Jun 10 10:22:12 2016  reduce to 82139246 relations and 64083401 ideals in 7 passes
Fri Jun 10 10:22:12 2016  max relations containing the same ideal: 162
Fri Jun 10 10:22:41 2016  removing 6408223 relations and 4408223 ideals in 2000000 cliques
Fri Jun 10 10:22:43 2016  commencing in-memory singleton removal
Fri Jun 10 10:22:48 2016  begin with 75731023 relations and 64083401 unique ideals
Fri Jun 10 10:23:19 2016  reduce to 75381898 relations and 59318516 ideals in 7 passes
Fri Jun 10 10:23:19 2016  max relations containing the same ideal: 155
Fri Jun 10 10:23:45 2016  removing 6293103 relations and 4293103 ideals in 2000000 cliques
Fri Jun 10 10:23:47 2016  commencing in-memory singleton removal
Fri Jun 10 10:23:51 2016  begin with 69088795 relations and 59318516 unique ideals
Fri Jun 10 10:24:19 2016  reduce to 68729951 relations and 54658173 ideals in 7 passes
Fri Jun 10 10:24:19 2016  max relations containing the same ideal: 148
Fri Jun 10 10:24:42 2016  removing 6212752 relations and 4212752 ideals in 2000000 cliques
Fri Jun 10 10:24:44 2016  commencing in-memory singleton removal
Fri Jun 10 10:24:48 2016  begin with 62517199 relations and 54658173 unique ideals
Fri Jun 10 10:25:10 2016  reduce to 62140951 relations and 50059596 ideals in 6 passes
Fri Jun 10 10:25:10 2016  max relations containing the same ideal: 141
Fri Jun 10 10:25:31 2016  removing 6157234 relations and 4157234 ideals in 2000000 cliques
Fri Jun 10 10:25:33 2016  commencing in-memory singleton removal
Fri Jun 10 10:25:36 2016  begin with 55983717 relations and 50059596 unique ideals
Fri Jun 10 10:25:58 2016  reduce to 55583062 relations and 45490547 ideals in 7 passes
Fri Jun 10 10:25:58 2016  max relations containing the same ideal: 130
Fri Jun 10 10:26:16 2016  removing 6126801 relations and 4126801 ideals in 2000000 cliques
Fri Jun 10 10:26:18 2016  commencing in-memory singleton removal
Fri Jun 10 10:26:21 2016  begin with 49456261 relations and 45490547 unique ideals
Fri Jun 10 10:26:39 2016  reduce to 49019807 relations and 40913744 ideals in 7 passes
Fri Jun 10 10:26:39 2016  max relations containing the same ideal: 123
Fri Jun 10 10:26:56 2016  removing 6116229 relations and 4116229 ideals in 2000000 cliques
Fri Jun 10 10:26:58 2016  commencing in-memory singleton removal
Fri Jun 10 10:27:00 2016  begin with 42903578 relations and 40913744 unique ideals
Fri Jun 10 10:27:15 2016  reduce to 42415432 relations and 36292479 ideals in 7 passes
Fri Jun 10 10:27:15 2016  max relations containing the same ideal: 110
Fri Jun 10 10:27:29 2016  removing 6122887 relations and 4122887 ideals in 2000000 cliques
Fri Jun 10 10:27:31 2016  commencing in-memory singleton removal
Fri Jun 10 10:27:33 2016  begin with 36292545 relations and 36292479 unique ideals
Fri Jun 10 10:27:47 2016  reduce to 35728250 relations and 31582587 ideals in 8 passes
Fri Jun 10 10:27:47 2016  max relations containing the same ideal: 97
Fri Jun 10 10:27:59 2016  removing 6150797 relations and 4150797 ideals in 2000000 cliques
Fri Jun 10 10:28:00 2016  commencing in-memory singleton removal
Fri Jun 10 10:28:02 2016  begin with 29577453 relations and 31582587 unique ideals
Fri Jun 10 10:28:11 2016  reduce to 28895502 relations and 26717181 ideals in 7 passes
Fri Jun 10 10:28:11 2016  max relations containing the same ideal: 81
Fri Jun 10 10:28:20 2016  removing 4813421 relations and 3345722 ideals in 1467699 cliques
Fri Jun 10 10:28:21 2016  commencing in-memory singleton removal
Fri Jun 10 10:28:22 2016  begin with 24082081 relations and 26717181 unique ideals
Fri Jun 10 10:28:30 2016  reduce to 23534966 relations and 22799836 ideals in 8 passes
Fri Jun 10 10:28:30 2016  max relations containing the same ideal: 69
Fri Jun 10 10:28:38 2016  removing 161861 relations and 137353 ideals in 24508 cliques
Fri Jun 10 10:28:38 2016  commencing in-memory singleton removal
Fri Jun 10 10:28:39 2016  begin with 23373105 relations and 22799836 unique ideals
Fri Jun 10 10:28:44 2016  reduce to 23372296 relations and 22661673 ideals in 5 passes
Fri Jun 10 10:28:44 2016  max relations containing the same ideal: 69
Fri Jun 10 10:28:47 2016  relations with 0 large ideals: 23349
Fri Jun 10 10:28:47 2016  relations with 1 large ideals: 11489
Fri Jun 10 10:28:47 2016  relations with 2 large ideals: 149475
Fri Jun 10 10:28:47 2016  relations with 3 large ideals: 904989
Fri Jun 10 10:28:47 2016  relations with 4 large ideals: 2899405
Fri Jun 10 10:28:47 2016  relations with 5 large ideals: 5452007
Fri Jun 10 10:28:47 2016  relations with 6 large ideals: 6304130
Fri Jun 10 10:28:47 2016  relations with 7+ large ideals: 7627452
Fri Jun 10 10:28:47 2016  commencing 2-way merge
Fri Jun 10 10:28:57 2016  reduce to 15134327 relation sets and 14423704 unique ideals
Fri Jun 10 10:28:57 2016  commencing full merge
Fri Jun 10 10:34:25 2016  memory use: 1958.1 MB
Fri Jun 10 10:34:28 2016  found 6845398 cycles, need 6817904
Fri Jun 10 10:34:28 2016  weight of 6817904 cycles is about 818690414 (120.08/cycle)
Fri Jun 10 10:34:28 2016  distribution of cycle lengths:
Fri Jun 10 10:34:28 2016  1 relations: 249406
Fri Jun 10 10:34:28 2016  2 relations: 384875
Fri Jun 10 10:34:28 2016  3 relations: 457075
Fri Jun 10 10:34:28 2016  4 relations: 483438
Fri Jun 10 10:34:28 2016  5 relations: 499152
Fri Jun 10 10:34:28 2016  6 relations: 501774
Fri Jun 10 10:34:28 2016  7 relations: 494587
Fri Jun 10 10:34:28 2016  8 relations: 475591
Fri Jun 10 10:34:28 2016  9 relations: 446849
Fri Jun 10 10:34:28 2016  10+ relations: 2825157
Fri Jun 10 10:34:28 2016  heaviest cycle: 28 relations
Fri Jun 10 10:34:30 2016  commencing cycle optimization
Fri Jun 10 10:34:43 2016  start with 62199342 relations
Fri Jun 10 10:37:09 2016  pruned 2964011 relations
Fri Jun 10 10:37:09 2016  memory use: 1608.7 MB
Fri Jun 10 10:37:09 2016  distribution of cycle lengths:
Fri Jun 10 10:37:09 2016  1 relations: 249406
Fri Jun 10 10:37:09 2016  2 relations: 394182
Fri Jun 10 10:37:09 2016  3 relations: 475923
Fri Jun 10 10:37:09 2016  4 relations: 503417
Fri Jun 10 10:37:09 2016  5 relations: 524857
Fri Jun 10 10:37:09 2016  6 relations: 527261
Fri Jun 10 10:37:09 2016  7 relations: 522791
Fri Jun 10 10:37:09 2016  8 relations: 500460
Fri Jun 10 10:37:09 2016  9 relations: 469970
Fri Jun 10 10:37:09 2016  10+ relations: 2649637
Fri Jun 10 10:37:09 2016  heaviest cycle: 28 relations
Fri Jun 10 10:37:19 2016  RelProcTime: 5190
Fri Jun 10 10:37:19 2016
Fri Jun 10 10:37:19 2016  commencing linear algebra
Fri Jun 10 10:37:21 2016  read 6817904 cycles
Fri Jun 10 10:37:34 2016  cycles contain 22994794 unique relations
Fri Jun 10 10:41:10 2016  read 22994794 relations
Fri Jun 10 10:41:42 2016  using 20 quadratic characters above 4294917295
Fri Jun 10 10:43:06 2016  building initial matrix
Fri Jun 10 10:47:09 2016  memory use: 2963.7 MB
Fri Jun 10 10:47:16 2016  read 6817904 cycles
Fri Jun 10 10:47:17 2016  matrix is 6817727 x 6817904 (3188.8 MB) with weight 929781632 (136.37/col)
Fri Jun 10 10:47:17 2016  sparse part has weight 760918454 (111.61/col)
Fri Jun 10 10:48:18 2016  filtering completed in 2 passes
Fri Jun 10 10:48:19 2016  matrix is 6817591 x 6817768 (3188.8 MB) with weight 929776236 (136.38/col)
Fri Jun 10 10:48:19 2016  sparse part has weight 760916708 (111.61/col)
Fri Jun 10 10:48:41 2016  matrix starts at (0, 0)
Fri Jun 10 10:48:41 2016  matrix is 6817591 x 6817768 (3188.8 MB) with weight 929776236 (136.38/col)
Fri Jun 10 10:48:41 2016  sparse part has weight 760916708 (111.61/col)
Fri Jun 10 10:48:41 2016  saving the first 48 matrix rows for later
Fri Jun 10 10:48:42 2016  matrix includes 64 packed rows
Fri Jun 10 10:48:43 2016  matrix is 6817543 x 6817768 (3058.5 MB) with weight 793830610 (116.44/col)
Fri Jun 10 10:48:43 2016  sparse part has weight 733587650 (107.60/col)
Fri Jun 10 10:48:43 2016  using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
Fri Jun 10 10:49:17 2016  commencing Lanczos iteration (4 threads)
Fri Jun 10 10:49:17 2016  memory use: 2582.4 MB
Fri Jun 10 10:49:42 2016  linear algebra at 0.0%, ETA 28h39m
Fri Jun 10 10:49:50 2016  checkpointing every 240000 dimensions
Sat Jun 11 16:26:23 2016  lanczos halted after 107810 iterations (dim = 6817539)
Sat Jun 11 16:26:35 2016  recovered 34 nontrivial dependencies
Sat Jun 11 16:26:35 2016  BLanczosTime: 107356
Sat Jun 11 16:26:35 2016
Sat Jun 11 16:26:35 2016  commencing square root phase
Sat Jun 11 16:26:36 2016  handling dependencies 1 to 64
Sat Jun 11 16:26:36 2016  reading relations for dependency 1
Sat Jun 11 16:26:38 2016  read 3409746 cycles
Sat Jun 11 16:26:44 2016  cycles contain 11501242 unique relations
Sat Jun 11 16:29:37 2016  read 11501242 relations
Sat Jun 11 16:30:19 2016  multiplying 11501242 relations
Sat Jun 11 16:36:32 2016  multiply complete, coefficients have about 295.13 million bits
Sat Jun 11 16:36:33 2016  initial square root is modulo 197569
Sat Jun 11 16:42:50 2016  GCD is 1, no factor found
Sat Jun 11 16:42:50 2016  reading relations for dependency 2
Sat Jun 11 16:42:53 2016  read 3411267 cycles
Sat Jun 11 16:42:59 2016  cycles contain 11498272 unique relations
Sat Jun 11 16:45:52 2016  read 11498272 relations
Sat Jun 11 16:46:35 2016  multiplying 11498272 relations
Sat Jun 11 16:52:46 2016  multiply complete, coefficients have about 295.07 million bits
Sat Jun 11 16:52:47 2016  initial square root is modulo 197077
Sat Jun 11 16:59:05 2016  GCD is 1, no factor found
Sat Jun 11 16:59:05 2016  reading relations for dependency 3
Sat Jun 11 16:59:08 2016  read 3409895 cycles
Sat Jun 11 16:59:14 2016  cycles contain 11498974 unique relations
Sat Jun 11 17:02:07 2016  read 11498974 relations
Sat Jun 11 17:02:49 2016  multiplying 11498974 relations
Sat Jun 11 17:09:01 2016  multiply complete, coefficients have about 295.09 million bits
Sat Jun 11 17:09:02 2016  initial square root is modulo 197203
Sat Jun 11 17:15:19 2016  sqrtTime: 2924
Sat Jun 11 17:15:19 2016  p87 factor: 111347083662390416172353562598041810094599491420863072528083681298611288468246178101533
Sat Jun 11 17:15:19 2016  p93 factor: 254559470597745109433563345671210992312888422603692958371085549450843105450394870219652908741
Sat Jun 11 17:15:19 2016  elapsed time 32:04:31