8_269_minus_7_269

Mon Jan 25 08:56:38 2016
Mon Jan 25 08:56:38 2016
Mon Jan 25 08:56:38 2016  Msieve v. 1.53 (SVN 988M)
Mon Jan 25 08:56:38 2016  random seeds: b8c6ed4e 99eddb56
Mon Jan 25 08:56:38 2016  factoring 223617474167737974823960413372577446151264532836820169740366338111837387441954655749684382589620645587900597473218073303448197772246370159411606156154447001053030296310094151102515671141425305242842433167299447488403354487050081488029 (234 digits)
Mon Jan 25 08:56:39 2016  searching for 15-digit factors
Mon Jan 25 08:56:41 2016  commencing number field sieve (234-digit input)
Mon Jan 25 08:56:41 2016  R0: 43556142965880123323311949751266331066368
Mon Jan 25 08:56:41 2016  R1: -107006904423598033356356300384937784807
Mon Jan 25 08:56:41 2016  A0: -8
Mon Jan 25 08:56:41 2016  A1: 0
Mon Jan 25 08:56:41 2016  A2: 0
Mon Jan 25 08:56:41 2016  A3: 0
Mon Jan 25 08:56:41 2016  A4: 0
Mon Jan 25 08:56:41 2016  A5: 0
Mon Jan 25 08:56:41 2016  A6: 7
Mon Jan 25 08:56:41 2016  skew 1.02, size 3.786e-12, alpha 1.653, combined = 3.138e-13 rroots = 2
Mon Jan 25 08:56:41 2016
Mon Jan 25 08:56:41 2016  commencing relation filtering
Mon Jan 25 08:56:41 2016  setting target matrix density to 130.0
Mon Jan 25 08:56:41 2016  estimated available RAM is 0.0 MB
Mon Jan 25 08:56:41 2016  commencing duplicate removal, pass 1
Mon Jan 25 09:02:49 2016  error -9 reading relation 43630822
Mon Jan 25 09:03:35 2016  error -9 reading relation 49170125
Mon Jan 25 09:08:14 2016  error -9 reading relation 82206620
Mon Jan 25 09:08:37 2016  error -15 reading relation 84971972
Mon Jan 25 09:09:41 2016  error -5 reading relation 92554119
Mon Jan 25 09:10:29 2016  error -15 reading relation 98337449
Mon Jan 25 09:12:16 2016  error -9 reading relation 110948591
Mon Jan 25 09:12:41 2016  error -9 reading relation 113994740
Mon Jan 25 09:12:45 2016  error -15 reading relation 114490977
Mon Jan 25 09:12:57 2016  error -15 reading relation 115913413
Mon Jan 25 09:13:00 2016  error -15 reading relation 116186066
Mon Jan 25 09:13:00 2016  error -9 reading relation 116282296
Mon Jan 25 09:13:05 2016  error -9 reading relation 116791057
Mon Jan 25 09:13:31 2016  error -9 reading relation 119923987
Mon Jan 25 09:13:41 2016  error -5 reading relation 121066673
Mon Jan 25 09:13:41 2016  error -1 reading relation 121100809
Mon Jan 25 09:14:10 2016  error -15 reading relation 124489241
Mon Jan 25 09:14:48 2016  error -5 reading relation 129064642
Mon Jan 25 09:18:07 2016  error -9 reading relation 152668628
Mon Jan 25 09:19:01 2016  error -15 reading relation 159063262
Mon Jan 25 09:20:35 2016  error -5 reading relation 170324805
Mon Jan 25 09:20:55 2016  error -15 reading relation 172665522
Mon Jan 25 09:21:08 2016  error -5 reading relation 174303488
Mon Jan 25 09:21:10 2016  error -9 reading relation 174572764
Mon Jan 25 09:21:17 2016  error -5 reading relation 175445080
Mon Jan 25 09:21:18 2016  error -5 reading relation 175537177
Mon Jan 25 09:21:41 2016  error -9 reading relation 178319413
Mon Jan 25 09:22:01 2016  error -9 reading relation 180715358
Mon Jan 25 09:22:10 2016  error -15 reading relation 181744367
Mon Jan 25 09:22:21 2016  error -9 reading relation 183119084
Mon Jan 25 09:22:27 2016  error -5 reading relation 183797947
Mon Jan 25 09:22:29 2016  error -9 reading relation 183954138
Mon Jan 25 09:22:30 2016  error -9 reading relation 184185940
Mon Jan 25 09:22:45 2016  error -15 reading relation 185908272
Mon Jan 25 09:22:54 2016  error -9 reading relation 187032528
Mon Jan 25 09:22:55 2016  error -9 reading relation 187169968
Mon Jan 25 09:23:04 2016  error -9 reading relation 188256663
Mon Jan 25 09:23:31 2016  error -15 reading relation 191454460
Mon Jan 25 09:23:36 2016  error -1 reading relation 192036379
Mon Jan 25 09:24:04 2016  error -15 reading relation 195288931
Mon Jan 25 09:24:35 2016  error -9 reading relation 199052373
Mon Jan 25 09:24:36 2016  error -15 reading relation 199157456
Mon Jan 25 09:24:37 2016  error -15 reading relation 199297295
Mon Jan 25 09:24:42 2016  error -15 reading relation 199887836
Mon Jan 25 09:24:50 2016  error -9 reading relation 200801374
Mon Jan 25 09:24:55 2016  error -5 reading relation 201387266
Mon Jan 25 09:25:04 2016  error -9 reading relation 202449882
Mon Jan 25 09:25:04 2016  error -1 reading relation 202451311
Mon Jan 25 09:25:16 2016  error -15 reading relation 203927175
Mon Jan 25 09:25:21 2016  error -15 reading relation 204522420
Mon Jan 25 09:25:21 2016  error -15 reading relation 204598476
Mon Jan 25 09:26:01 2016  error -5 reading relation 209270979
Mon Jan 25 09:26:57 2016  error -15 reading relation 215941546
Mon Jan 25 09:26:57 2016  error -9 reading relation 215956129
Mon Jan 25 09:26:57 2016  error -9 reading relation 215977539
Mon Jan 25 09:27:31 2016  error -15 reading relation 220078393
Mon Jan 25 09:27:31 2016  error -5 reading relation 220081178
Mon Jan 25 09:28:21 2016  skipped 78 relations with b > 2^32
Mon Jan 25 09:28:21 2016  skipped 47 relations with composite factors
Mon Jan 25 09:28:21 2016  found 45477990 hash collisions in 226050988 relations
Mon Jan 25 09:28:37 2016  added 1219089 free relations
Mon Jan 25 09:28:37 2016  commencing duplicate removal, pass 2
Mon Jan 25 09:32:30 2016  found 45441408 duplicates and 181828669 unique relations
Mon Jan 25 09:32:30 2016  memory use: 1321.5 MB
Mon Jan 25 09:32:30 2016  reading ideals above 163905536
Mon Jan 25 09:32:30 2016  commencing singleton removal, initial pass
Mon Jan 25 09:52:35 2016  memory use: 3012.0 MB
Mon Jan 25 09:52:35 2016  removing singletons from LP file
Mon Jan 25 09:52:35 2016  start with 181828669 relations and 154149985 ideals
Mon Jan 25 09:53:53 2016  pass 1: found 53463835 singletons
Mon Jan 25 09:54:26 2016  pass 2: found 13458206 singletons
Mon Jan 25 09:54:58 2016  pass 3: found 3644731 singletons
Mon Jan 25 09:55:30 2016  pass 4: found 994346 singletons
Mon Jan 25 09:56:02 2016  pass 5: found 273653 singletons
Mon Jan 25 09:56:45 2016  pruned dataset has 109993898 relations and 74165816 large ideals
Mon Jan 25 09:56:46 2016  reading all ideals from disk
Mon Jan 25 09:56:47 2016  memory use: 1726.6 MB
Mon Jan 25 09:56:51 2016  commencing in-memory singleton removal
Mon Jan 25 09:56:55 2016  begin with 109993898 relations and 74165816 unique ideals
Mon Jan 25 09:57:47 2016  reduce to 109890015 relations and 74061903 ideals in 10 passes
Mon Jan 25 09:57:47 2016  max relations containing the same ideal: 35
Mon Jan 25 09:57:58 2016  reading ideals above 720000
Mon Jan 25 09:57:59 2016  commencing singleton removal, initial pass
Mon Jan 25 10:14:00 2016  memory use: 2756.0 MB
Mon Jan 25 10:14:00 2016  reading large ideals from disk
Mon Jan 25 10:15:51 2016  keeping 83031118 ideals with weight <= 20, target excess is 9388936
Mon Jan 25 10:17:41 2016  memory use: 2677.4 MB
Mon Jan 25 10:17:41 2016  commencing in-memory singleton removal
Mon Jan 25 10:17:47 2016  begin with 109890015 relations and 83031118 unique ideals
Mon Jan 25 10:18:48 2016  reduce to 109871877 relations and 83012977 ideals in 9 passes
Mon Jan 25 10:18:48 2016  max relations containing the same ideal: 20
Mon Jan 25 10:19:21 2016  removing 10991560 relations and 8991560 ideals in 2000000 cliques
Mon Jan 25 10:19:25 2016  commencing in-memory singleton removal
Mon Jan 25 10:19:30 2016  begin with 98880317 relations and 83012977 unique ideals
Mon Jan 25 10:20:23 2016  reduce to 97953154 relations and 73072435 ideals in 9 passes
Mon Jan 25 10:20:23 2016  max relations containing the same ideal: 20
Mon Jan 25 10:20:52 2016  removing 8331611 relations and 6331611 ideals in 2000000 cliques
Mon Jan 25 10:20:56 2016  commencing in-memory singleton removal
Mon Jan 25 10:21:00 2016  begin with 89621543 relations and 73072435 unique ideals
Mon Jan 25 10:21:42 2016  reduce to 88991767 relations and 66098053 ideals in 8 passes
Mon Jan 25 10:21:42 2016  max relations containing the same ideal: 20
Mon Jan 25 10:22:08 2016  removing 7589430 relations and 5589430 ideals in 2000000 cliques
Mon Jan 25 10:22:11 2016  commencing in-memory singleton removal
Mon Jan 25 10:22:15 2016  begin with 81402337 relations and 66098053 unique ideals
Mon Jan 25 10:23:02 2016  reduce to 80833316 relations and 59927416 ideals in 10 passes
Mon Jan 25 10:23:02 2016  max relations containing the same ideal: 20
Mon Jan 25 10:23:26 2016  removing 7215905 relations and 5215905 ideals in 2000000 cliques
Mon Jan 25 10:23:28 2016  commencing in-memory singleton removal
Mon Jan 25 10:23:32 2016  begin with 73617411 relations and 59927416 unique ideals
Mon Jan 25 10:24:01 2016  reduce to 73065668 relations and 54147199 ideals in 7 passes
Mon Jan 25 10:24:01 2016  max relations containing the same ideal: 20
Mon Jan 25 10:24:22 2016  removing 7009568 relations and 5009568 ideals in 2000000 cliques
Mon Jan 25 10:24:24 2016  commencing in-memory singleton removal
Mon Jan 25 10:24:27 2016  begin with 66056100 relations and 54147199 unique ideals
Mon Jan 25 10:24:56 2016  reduce to 65501608 relations and 48569286 ideals in 8 passes
Mon Jan 25 10:24:56 2016  max relations containing the same ideal: 20
Mon Jan 25 10:25:15 2016  removing 6873028 relations and 4873028 ideals in 2000000 cliques
Mon Jan 25 10:25:17 2016  commencing in-memory singleton removal
Mon Jan 25 10:25:19 2016  begin with 58628580 relations and 48569286 unique ideals
Mon Jan 25 10:25:44 2016  reduce to 58052457 relations and 43104453 ideals in 8 passes
Mon Jan 25 10:25:44 2016  max relations containing the same ideal: 20
Mon Jan 25 10:26:00 2016  removing 6767608 relations and 4767608 ideals in 2000000 cliques
Mon Jan 25 10:26:03 2016  commencing in-memory singleton removal
Mon Jan 25 10:26:05 2016  begin with 51284849 relations and 43104453 unique ideals
Mon Jan 25 10:26:28 2016  reduce to 50654430 relations and 37686979 ideals in 9 passes
Mon Jan 25 10:26:28 2016  max relations containing the same ideal: 19
Mon Jan 25 10:26:43 2016  removing 6725671 relations and 4725671 ideals in 2000000 cliques
Mon Jan 25 10:26:45 2016  commencing in-memory singleton removal
Mon Jan 25 10:26:47 2016  begin with 43928759 relations and 37686979 unique ideals
Mon Jan 25 10:27:04 2016  reduce to 43223131 relations and 32230832 ideals in 8 passes
Mon Jan 25 10:27:04 2016  max relations containing the same ideal: 19
Mon Jan 25 10:27:16 2016  removing 464491 relations and 363358 ideals in 101133 cliques
Mon Jan 25 10:27:17 2016  commencing in-memory singleton removal
Mon Jan 25 10:27:18 2016  begin with 42758640 relations and 32230832 unique ideals
Mon Jan 25 10:27:30 2016  reduce to 42752376 relations and 31861193 ideals in 6 passes
Mon Jan 25 10:27:30 2016  max relations containing the same ideal: 19
Mon Jan 25 10:27:33 2016  relations with 0 large ideals: 1547420
Mon Jan 25 10:27:33 2016  relations with 1 large ideals: 6884104
Mon Jan 25 10:27:33 2016  relations with 2 large ideals: 13565767
Mon Jan 25 10:27:33 2016  relations with 3 large ideals: 12656530
Mon Jan 25 10:27:33 2016  relations with 4 large ideals: 6059780
Mon Jan 25 10:27:33 2016  relations with 5 large ideals: 1578151
Mon Jan 25 10:27:33 2016  relations with 6 large ideals: 321476
Mon Jan 25 10:27:33 2016  relations with 7+ large ideals: 139148
Mon Jan 25 10:27:33 2016  commencing 2-way merge
Mon Jan 25 10:27:50 2016  reduce to 26871395 relation sets and 15980212 unique ideals
Mon Jan 25 10:27:50 2016  commencing full merge
Mon Jan 25 10:31:14 2016  memory use: 1387.6 MB
Mon Jan 25 10:31:15 2016  found 11630460 cycles, need 10884412
Mon Jan 25 10:31:16 2016  weight of 10884412 cycles is about 1415247576 (130.03/cycle)
Mon Jan 25 10:31:16 2016  distribution of cycle lengths:
Mon Jan 25 10:31:16 2016  1 relations: 1562736
Mon Jan 25 10:31:16 2016  2 relations: 660011
Mon Jan 25 10:31:16 2016  3 relations: 580356
Mon Jan 25 10:31:16 2016  4 relations: 549690
Mon Jan 25 10:31:16 2016  5 relations: 546157
Mon Jan 25 10:31:16 2016  6 relations: 537648
Mon Jan 25 10:31:16 2016  7 relations: 534775
Mon Jan 25 10:31:16 2016  8 relations: 527489
Mon Jan 25 10:31:16 2016  9 relations: 517752
Mon Jan 25 10:31:16 2016  10+ relations: 4867798
Mon Jan 25 10:31:16 2016  heaviest cycle: 28 relations
Mon Jan 25 10:31:17 2016  commencing cycle optimization
Mon Jan 25 10:31:39 2016  start with 100054174 relations
Mon Jan 25 10:35:56 2016  pruned 7879751 relations
Mon Jan 25 10:35:56 2016  memory use: 2499.3 MB
Mon Jan 25 10:35:56 2016  distribution of cycle lengths:
Mon Jan 25 10:35:56 2016  1 relations: 1562736
Mon Jan 25 10:35:56 2016  2 relations: 686603
Mon Jan 25 10:35:56 2016  3 relations: 617763
Mon Jan 25 10:35:56 2016  4 relations: 590847
Mon Jan 25 10:35:56 2016  5 relations: 598329
Mon Jan 25 10:35:56 2016  6 relations: 592131
Mon Jan 25 10:35:56 2016  7 relations: 597056
Mon Jan 25 10:35:56 2016  8 relations: 589582
Mon Jan 25 10:35:56 2016  9 relations: 581942
Mon Jan 25 10:35:56 2016  10+ relations: 4467423
Mon Jan 25 10:35:56 2016  heaviest cycle: 27 relations
Mon Jan 25 10:36:18 2016  RelProcTime: 5977
Mon Jan 25 10:36:18 2016
Mon Jan 25 10:36:18 2016  commencing linear algebra
Mon Jan 25 10:36:20 2016  read 10884412 cycles
Mon Jan 25 10:36:44 2016  cycles contain 36929715 unique relations
Mon Jan 25 10:42:30 2016  read 36929715 relations
Mon Jan 25 10:43:36 2016  using 20 quadratic characters above 4294917295
Mon Jan 25 10:46:06 2016  building initial matrix
Mon Jan 25 10:53:38 2016  memory use: 4727.1 MB
Mon Jan 25 10:53:49 2016  read 10884412 cycles
Mon Jan 25 10:53:50 2016  matrix is 10884129 x 10884412 (5151.8 MB) with weight 1456134577 (133.78/col)
Mon Jan 25 10:53:50 2016  sparse part has weight 1241680824 (114.08/col)
Mon Jan 25 10:58:10 2016  filtering completed in 3 passes
Mon Jan 25 10:58:11 2016  matrix is 10879890 x 10880090 (5150.9 MB) with weight 1455844306 (133.81/col)
Mon Jan 25 10:58:11 2016  sparse part has weight 1241474418 (114.11/col)
Mon Jan 25 10:58:51 2016  matrix starts at (0, 0)
Mon Jan 25 10:58:52 2016  matrix is 10879890 x 10880090 (5150.9 MB) with weight 1455844306 (133.81/col)
Mon Jan 25 10:58:52 2016  sparse part has weight 1241474418 (114.11/col)
Mon Jan 25 10:58:52 2016  saving the first 48 matrix rows for later
Mon Jan 25 10:58:55 2016  matrix includes 64 packed rows
Mon Jan 25 10:58:55 2016  matrix is 10879842 x 10880090 (4933.9 MB) with weight 1252935223 (115.16/col)
Mon Jan 25 10:58:55 2016  sparse part has weight 1184592702 (108.88/col)
Mon Jan 25 10:58:55 2016  using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
Mon Jan 25 11:00:12 2016  commencing Lanczos iteration (8 threads)
Mon Jan 25 11:00:12 2016  memory use: 4198.0 MB
Mon Jan 25 11:00:38 2016  linear algebra at 0.0%, ETA 49h45m
Mon Jan 25 11:00:47 2016  checkpointing every 220000 dimensions
Wed Jan 27 12:45:22 2016  lanczos halted after 172053 iterations (dim = 10879841)
Wed Jan 27 12:45:35 2016  recovered 36 nontrivial dependencies
Wed Jan 27 12:45:37 2016  BLanczosTime: 180559
Wed Jan 27 12:45:37 2016
Wed Jan 27 12:45:37 2016  commencing square root phase
Wed Jan 27 12:45:37 2016  handling dependencies 1 to 64
Wed Jan 27 12:45:37 2016  reading relations for dependency 1
Wed Jan 27 12:45:40 2016  read 5442076 cycles
Wed Jan 27 12:45:51 2016  cycles contain 18466560 unique relations
Wed Jan 27 12:50:07 2016  read 18466560 relations
Wed Jan 27 12:51:30 2016  multiplying 18466560 relations
Wed Jan 27 13:05:46 2016  multiply complete, coefficients have about 512.39 million bits
Wed Jan 27 13:05:48 2016  initial square root is modulo 1562861647
Wed Jan 27 13:20:28 2016  found factor: 299256022215215023261131077129051825130406071327631671980615935170859746057170801626825017155364932910936799570829
Wed Jan 27 13:20:28 2016  reading relations for dependency 2
Wed Jan 27 13:20:30 2016  read 5439516 cycles
Wed Jan 27 13:20:42 2016  cycles contain 18464136 unique relations
Wed Jan 27 13:24:55 2016  read 18464136 relations
Wed Jan 27 13:26:17 2016  multiplying 18464136 relations
Wed Jan 27 13:40:32 2016  multiply complete, coefficients have about 512.32 million bits
Wed Jan 27 13:40:34 2016  initial square root is modulo 1558165309
Wed Jan 27 13:55:14 2016  found factor: 299256022215215023261131077129051825130406071327631671980615935170859746057170801626825017155364932910936799570829
Wed Jan 27 13:55:14 2016  reading relations for dependency 3
Wed Jan 27 13:55:16 2016  read 5439622 cycles
Wed Jan 27 13:55:27 2016  cycles contain 18466126 unique relations
Wed Jan 27 13:59:40 2016  read 18466126 relations
Wed Jan 27 14:01:03 2016  multiplying 18466126 relations
Wed Jan 27 14:15:17 2016  multiply complete, coefficients have about 512.38 million bits
Wed Jan 27 14:15:19 2016  initial square root is modulo 1561987657
Wed Jan 27 14:30:00 2016  sqrtTime: 6263
Wed Jan 27 14:30:00 2016  p47 factor: 63114004184218450772318216431038158607109067561
Wed Jan 27 14:30:00 2016  p67 factor: 4741515390811528985749791051638497031569341941056417119817991873989
Wed Jan 27 14:30:00 2016  p120 factor: 747244692061433908388323714497667107975207477527795863826868403853526380407802412454124839197349709661613622645915326801
Wed Jan 27 14:30:00 2016  elapsed time 53:33:22