Fri Jul 29 23:16:39 2016
Fri Jul 29 23:16:40 2016
Fri Jul 29 23:16:41 2016  Msieve v. 1.53 (SVN 988M)
Fri Jul 29 23:16:41 2016  random seeds: 2c52f354 6217f439
Fri Jul 29 23:16:41 2016  factoring 551398211762884840156997908548442075369889302283788991350204271161116762539713102591919439951996700080868993307769629632960503710249860233207702055027456114992897898817253528535622965001 (186 digits)
Fri Jul 29 23:16:42 2016  searching for 15-digit factors
Fri Jul 29 23:16:43 2016  commencing number field sieve (186-digit input)
Fri Jul 29 23:16:43 2016  R0: 1798465042647412146620280340569649349251249
Fri Jul 29 23:16:43 2016  R1: -717897987691852588770249
Fri Jul 29 23:16:43 2016  A0: 49
Fri Jul 29 23:16:43 2016  A1: 0
Fri Jul 29 23:16:43 2016  A2: 0
Fri Jul 29 23:16:43 2016  A3: 0
Fri Jul 29 23:16:43 2016  A4: 0
Fri Jul 29 23:16:43 2016  A5: 0
Fri Jul 29 23:16:43 2016  A6: 9
Fri Jul 29 23:16:43 2016  skew 1.33, size 1.339e-12, alpha 0.313, combined = 1.462e-13 rroots = 0
Fri Jul 29 23:16:43 2016
Fri Jul 29 23:16:43 2016  commencing relation filtering
Fri Jul 29 23:16:43 2016  setting target matrix density to 120.0
Fri Jul 29 23:16:43 2016  estimated available RAM is 65536.0 MB
Fri Jul 29 23:16:43 2016  commencing duplicate removal, pass 1
Fri Jul 29 23:39:39 2016  error -5 reading relation 164921655
Fri Jul 29 23:40:20 2016  error -9 reading relation 169768239
Fri Jul 29 23:40:33 2016  error -5 reading relation 171391383
Fri Jul 29 23:41:46 2016  error -1 reading relation 180044424
Fri Jul 29 23:41:48 2016  error -1 reading relation 180326873
Fri Jul 29 23:44:26 2016  error -15 reading relation 199082557
Fri Jul 29 23:44:28 2016  error -1 reading relation 199372075
Fri Jul 29 23:44:31 2016  error -15 reading relation 199706006
Fri Jul 29 23:45:23 2016  error -1 reading relation 205898248
Fri Jul 29 23:45:25 2016  error -9 reading relation 206130017
Fri Jul 29 23:45:26 2016  error -15 reading relation 206211895
Fri Jul 29 23:45:34 2016  error -15 reading relation 207255512
Fri Jul 29 23:45:52 2016  error -1 reading relation 209288123
Fri Jul 29 23:45:59 2016  error -9 reading relation 210163900
Fri Jul 29 23:46:08 2016  error -9 reading relation 211287890
Fri Jul 29 23:46:09 2016  error -9 reading relation 211369540
Fri Jul 29 23:46:11 2016  error -9 reading relation 211567121
Fri Jul 29 23:46:15 2016  error -5 reading relation 212126525
Fri Jul 29 23:46:26 2016  error -15 reading relation 213404839
Fri Jul 29 23:46:26 2016  error -1 reading relation 213457821
Fri Jul 29 23:46:27 2016  error -9 reading relation 213498509
Fri Jul 29 23:46:27 2016  error -9 reading relation 213503971
Fri Jul 29 23:46:40 2016  error -9 reading relation 215122209
Fri Jul 29 23:46:46 2016  error -9 reading relation 215886094
Fri Jul 29 23:47:06 2016  error -9 reading relation 218227922
Fri Jul 29 23:47:10 2016  error -15 reading relation 218676060
Fri Jul 29 23:48:08 2016  skipped 65 relations with b > 2^32
Fri Jul 29 23:48:08 2016  skipped 8 relations with composite factors
Fri Jul 29 23:48:08 2016  found 52175308 hash collisions in 225525675 relations
Fri Jul 29 23:48:25 2016  added 1218863 free relations
Fri Jul 29 23:48:25 2016  commencing duplicate removal, pass 2
Fri Jul 29 23:52:19 2016  found 56146018 duplicates and 170598520 unique relations
Fri Jul 29 23:52:19 2016  memory use: 1321.5 MB
Fri Jul 29 23:52:19 2016  reading ideals above 720000
Fri Jul 29 23:52:19 2016  commencing singleton removal, initial pass
Sat Jul 30 00:15:43 2016  memory use: 5512.0 MB
Sat Jul 30 00:15:44 2016  reading all ideals from disk
Sat Jul 30 00:15:48 2016  memory use: 6817.0 MB
Sat Jul 30 00:16:08 2016  keeping 170111949 ideals with weight <= 200, target excess is 878466
Sat Jul 30 00:16:30 2016  commencing in-memory singleton removal
Sat Jul 30 00:16:46 2016  begin with 170598520 relations and 170111949 unique ideals
Sat Jul 30 00:19:30 2016  reduce to 95332841 relations and 85547521 ideals in 16 passes
Sat Jul 30 00:19:30 2016  max relations containing the same ideal: 143
Sat Jul 30 00:20:16 2016  removing 7600565 relations and 6600565 ideals in 1000000 cliques
Sat Jul 30 00:20:19 2016  commencing in-memory singleton removal
Sat Jul 30 00:20:27 2016  begin with 87732276 relations and 85547521 unique ideals
Sat Jul 30 00:21:44 2016  reduce to 87309720 relations and 78518517 ideals in 9 passes
Sat Jul 30 00:21:45 2016  max relations containing the same ideal: 137
Sat Jul 30 00:22:27 2016  removing 5619838 relations and 4619838 ideals in 1000000 cliques
Sat Jul 30 00:22:30 2016  commencing in-memory singleton removal
Sat Jul 30 00:22:37 2016  begin with 81689882 relations and 78518517 unique ideals
Sat Jul 30 00:23:48 2016  reduce to 81428868 relations and 73634628 ideals in 9 passes
Sat Jul 30 00:23:49 2016  max relations containing the same ideal: 133
Sat Jul 30 00:24:29 2016  removing 4995053 relations and 3995053 ideals in 1000000 cliques
Sat Jul 30 00:24:31 2016  commencing in-memory singleton removal
Sat Jul 30 00:24:38 2016  begin with 76433815 relations and 73634628 unique ideals
Sat Jul 30 00:25:37 2016  reduce to 76211785 relations and 69414973 ideals in 8 passes
Sat Jul 30 00:25:38 2016  max relations containing the same ideal: 124
Sat Jul 30 00:26:15 2016  removing 4651703 relations and 3651703 ideals in 1000000 cliques
Sat Jul 30 00:26:17 2016  commencing in-memory singleton removal
Sat Jul 30 00:26:23 2016  begin with 71560082 relations and 69414973 unique ideals
Sat Jul 30 00:27:11 2016  reduce to 71355103 relations and 65555849 ideals in 7 passes
Sat Jul 30 00:27:11 2016  max relations containing the same ideal: 122
Sat Jul 30 00:27:44 2016  removing 4427340 relations and 3427340 ideals in 1000000 cliques
Sat Jul 30 00:27:46 2016  commencing in-memory singleton removal
Sat Jul 30 00:27:52 2016  begin with 66927763 relations and 65555849 unique ideals
Sat Jul 30 00:28:37 2016  reduce to 66728965 relations and 61927270 ideals in 7 passes
Sat Jul 30 00:28:37 2016  max relations containing the same ideal: 116
Sat Jul 30 00:29:09 2016  removing 4273453 relations and 3273453 ideals in 1000000 cliques
Sat Jul 30 00:29:10 2016  commencing in-memory singleton removal
Sat Jul 30 00:29:16 2016  begin with 62455512 relations and 61927270 unique ideals
Sat Jul 30 00:29:57 2016  reduce to 62259308 relations and 58455099 ideals in 7 passes
Sat Jul 30 00:29:57 2016  max relations containing the same ideal: 111
Sat Jul 30 00:30:26 2016  removing 4159802 relations and 3159802 ideals in 1000000 cliques
Sat Jul 30 00:30:28 2016  commencing in-memory singleton removal
Sat Jul 30 00:30:33 2016  begin with 58099506 relations and 58455099 unique ideals
Sat Jul 30 00:31:16 2016  reduce to 57899799 relations and 55092868 ideals in 8 passes
Sat Jul 30 00:31:16 2016  max relations containing the same ideal: 102
Sat Jul 30 00:31:43 2016  removing 4082258 relations and 3082258 ideals in 1000000 cliques
Sat Jul 30 00:31:44 2016  commencing in-memory singleton removal
Sat Jul 30 00:31:49 2016  begin with 53817541 relations and 55092868 unique ideals
Sat Jul 30 00:32:34 2016  reduce to 53606620 relations and 51796572 ideals in 9 passes
Sat Jul 30 00:32:34 2016  max relations containing the same ideal: 95
Sat Jul 30 00:32:59 2016  removing 3321288 relations and 2530261 ideals in 791027 cliques
Sat Jul 30 00:33:00 2016  commencing in-memory singleton removal
Sat Jul 30 00:33:04 2016  begin with 50285332 relations and 51796572 unique ideals
Sat Jul 30 00:33:37 2016  reduce to 50135990 relations and 49115050 ideals in 7 passes
Sat Jul 30 00:33:37 2016  max relations containing the same ideal: 92
Sat Jul 30 00:34:07 2016  relations with 0 large ideals: 33552
Sat Jul 30 00:34:07 2016  relations with 1 large ideals: 14817
Sat Jul 30 00:34:07 2016  relations with 2 large ideals: 200747
Sat Jul 30 00:34:07 2016  relations with 3 large ideals: 1299639
Sat Jul 30 00:34:07 2016  relations with 4 large ideals: 4617416
Sat Jul 30 00:34:07 2016  relations with 5 large ideals: 9894669
Sat Jul 30 00:34:07 2016  relations with 6 large ideals: 13316690
Sat Jul 30 00:34:07 2016  relations with 7+ large ideals: 20758460
Sat Jul 30 00:34:07 2016  commencing 2-way merge
Sat Jul 30 00:34:42 2016  reduce to 33195091 relation sets and 32174151 unique ideals
Sat Jul 30 00:34:42 2016  commencing full merge
Sat Jul 30 00:48:26 2016  memory use: 4095.1 MB
Sat Jul 30 00:48:33 2016  found 14665425 cycles, need 14652351
Sat Jul 30 00:48:34 2016  weight of 14652351 cycles is about 1758739874 (120.03/cycle)
Sat Jul 30 00:48:34 2016  distribution of cycle lengths:
Sat Jul 30 00:48:34 2016  1 relations: 653148
Sat Jul 30 00:48:34 2016  2 relations: 921908
Sat Jul 30 00:48:34 2016  3 relations: 1073918
Sat Jul 30 00:48:34 2016  4 relations: 1094588
Sat Jul 30 00:48:34 2016  5 relations: 1094735
Sat Jul 30 00:48:34 2016  6 relations: 1054268
Sat Jul 30 00:48:34 2016  7 relations: 1016785
Sat Jul 30 00:48:34 2016  8 relations: 953469
Sat Jul 30 00:48:34 2016  9 relations: 893104
Sat Jul 30 00:48:34 2016  10+ relations: 5896428
Sat Jul 30 00:48:34 2016  heaviest cycle: 28 relations
Sat Jul 30 00:48:39 2016  commencing cycle optimization
Sat Jul 30 00:49:15 2016  start with 131494722 relations
Sat Jul 30 00:55:26 2016  pruned 5786609 relations
Sat Jul 30 00:55:27 2016  memory use: 3435.5 MB
Sat Jul 30 00:55:28 2016  distribution of cycle lengths:
Sat Jul 30 00:55:28 2016  1 relations: 653148
Sat Jul 30 00:55:28 2016  2 relations: 945782
Sat Jul 30 00:55:28 2016  3 relations: 1121394
Sat Jul 30 00:55:28 2016  4 relations: 1139653
Sat Jul 30 00:55:28 2016  5 relations: 1148407
Sat Jul 30 00:55:28 2016  6 relations: 1101510
Sat Jul 30 00:55:28 2016  7 relations: 1062359
Sat Jul 30 00:55:28 2016  8 relations: 991472
Sat Jul 30 00:55:28 2016  9 relations: 926596
Sat Jul 30 00:55:28 2016  10+ relations: 5562030
Sat Jul 30 00:55:28 2016  heaviest cycle: 28 relations
Sat Jul 30 00:56:09 2016  RelProcTime: 5966
Sat Jul 30 00:56:09 2016
Sat Jul 30 00:56:09 2016  commencing linear algebra
Sat Jul 30 00:56:11 2016  read 14652351 cycles
Sat Jul 30 00:56:46 2016  cycles contain 49539186 unique relations
Sat Jul 30 01:03:28 2016  read 49539186 relations
Sat Jul 30 01:05:18 2016  using 20 quadratic characters above 4294917295
Sat Jul 30 01:08:34 2016  building initial matrix
Sat Jul 30 01:18:33 2016  memory use: 6329.1 MB
Sat Jul 30 01:18:48 2016  read 14652351 cycles
Sat Jul 30 01:18:50 2016  matrix is 14652174 x 14652351 (6926.8 MB) with weight 1993564787 (136.06/col)
Sat Jul 30 01:18:50 2016  sparse part has weight 1654650126 (112.93/col)
Sat Jul 30 01:22:36 2016  filtering completed in 2 passes
Sat Jul 30 01:22:40 2016  matrix is 14652017 x 14652194 (6926.8 MB) with weight 1993559337 (136.06/col)
Sat Jul 30 01:22:40 2016  sparse part has weight 1654648403 (112.93/col)
Sat Jul 30 01:26:15 2016  matrix starts at (0, 0)
Sat Jul 30 01:26:17 2016  matrix is 14652017 x 14652194 (6926.8 MB) with weight 1993559337 (136.06/col)
Sat Jul 30 01:26:17 2016  sparse part has weight 1654648403 (112.93/col)
Sat Jul 30 01:26:17 2016  saving the first 48 matrix rows for later
Sat Jul 30 01:26:20 2016  matrix includes 64 packed rows
Sat Jul 30 01:26:21 2016  matrix is 14651969 x 14652194 (6642.5 MB) with weight 1722345181 (117.55/col)
Sat Jul 30 01:26:21 2016  sparse part has weight 1594776747 (108.84/col)
Sat Jul 30 01:26:21 2016  using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
Sat Jul 30 01:28:11 2016  commencing Lanczos iteration (12 threads)
Sat Jul 30 01:28:12 2016  memory use: 5686.3 MB
Sat Jul 30 01:28:41 2016  linear algebra at 0.0%, ETA 72h17m
Sat Jul 30 01:28:50 2016  checkpointing every 210000 dimensions
Tue Aug  2 02:50:52 2016  lanczos halted after 231705 iterations (dim = 14651967)
Tue Aug  2 02:51:24 2016  recovered 40 nontrivial dependencies
Tue Aug  2 02:51:33 2016  BLanczosTime: 266124
Tue Aug  2 02:51:33 2016
Tue Aug  2 02:51:33 2016  commencing square root phase
Tue Aug  2 02:51:33 2016  handling dependencies 1 to 64
Tue Aug  2 02:51:33 2016  reading relations for dependency 1
Tue Aug  2 02:51:45 2016  read 7325320 cycles
Tue Aug  2 02:52:01 2016  cycles contain 24770546 unique relations
Tue Aug  2 02:57:18 2016  read 24770546 relations
Tue Aug  2 02:59:04 2016  multiplying 24770546 relations
Tue Aug  2 03:20:56 2016  multiply complete, coefficients have about 710.12 million bits
Tue Aug  2 03:20:59 2016  initial square root is modulo 2349031
Tue Aug  2 03:42:20 2016  GCD is N, no factor found
Tue Aug  2 03:42:20 2016  reading relations for dependency 2
Tue Aug  2 03:42:25 2016  read 7327580 cycles
Tue Aug  2 03:42:40 2016  cycles contain 24770820 unique relations
Tue Aug  2 03:47:22 2016  read 24770820 relations
Tue Aug  2 03:49:09 2016  multiplying 24770820 relations
Tue Aug  2 04:11:02 2016  multiply complete, coefficients have about 710.13 million bits
Tue Aug  2 04:11:04 2016  initial square root is modulo 2349343
Tue Aug  2 04:32:26 2016  sqrtTime: 6053
Tue Aug  2 04:32:26 2016  p65 factor: 21153041592499282315228396237960616626973151045325752223990686977
Tue Aug  2 04:32:28 2016  p122 factor: 26067088714012963197912172778472191725234616153772829494642352247588118816169861865096986772267999224146645714269664315913
Tue Aug  2 04:32:28 2016  elapsed time 77:15:47