5851_59m1

Sun Aug 16 21:14:07 2020
Sun Aug 16 21:14:07 2020
Sun Aug 16 21:14:07 2020  Msieve v. 1.53 (SVN unknown)
Sun Aug 16 21:14:07 2020  random seeds: f93e8a80 e76428a8
Sun Aug 16 21:14:07 2020  factoring 10098994900311538904790249266525955368722008375289538535133071855113617483984499788290705977531292011877433356959921610739545183630664913150221738161202063896844223276590699573343702816291079322843018380587692186579 (215 digits)
Sun Aug 16 21:14:09 2020  searching for 15-digit factors
Sun Aug 16 21:14:09 2020  commencing number field sieve (215-digit input)
Sun Aug 16 21:14:09 2020  R0: 47021987435626124292561643429547571001
Sun Aug 16 21:14:09 2020  R1: -1
Sun Aug 16 21:14:09 2020  A0: -5851
Sun Aug 16 21:14:09 2020  A1: 0
Sun Aug 16 21:14:09 2020  A2: 0
Sun Aug 16 21:14:09 2020  A3: 0
Sun Aug 16 21:14:09 2020  A4: 0
Sun Aug 16 21:14:09 2020  A5: 0
Sun Aug 16 21:14:09 2020  A6: 1
Sun Aug 16 21:14:09 2020  skew 4.25, size 3.040e-11, alpha -0.419, combined = 1.433e-12 rroots = 2
Sun Aug 16 21:14:09 2020
Sun Aug 16 21:14:09 2020  commencing relation filtering
Sun Aug 16 21:14:09 2020  setting target matrix density to 105.0
Sun Aug 16 21:14:09 2020  estimated available RAM is 16335.3 MB
Sun Aug 16 21:14:09 2020  commencing duplicate removal, pass 1
Sun Aug 16 21:15:03 2020  error -1 reading relation 3888342
Sun Aug 16 21:15:04 2020  error -1 reading relation 3931583
Sun Aug 16 21:15:04 2020  error -9 reading relation 3975313
Sun Aug 16 21:15:09 2020  error -1 reading relation 4310239
Sun Aug 16 21:15:10 2020  error -9 reading relation 4398002
Sun Aug 16 21:15:43 2020  error -9 reading relation 6816615
Sun Aug 16 21:16:13 2020  error -1 reading relation 9044378
Sun Aug 16 21:16:53 2020  error -15 reading relation 11924083
Sun Aug 16 21:19:27 2020  error -9 reading relation 23275541
Sun Aug 16 21:21:08 2020  error -1 reading relation 30709391
Sun Aug 16 21:21:12 2020  error -9 reading relation 30962453
Sun Aug 16 21:21:39 2020  error -9 reading relation 33020368
Sun Aug 16 21:22:04 2020  error -9 reading relation 34810952
Sun Aug 16 21:22:32 2020  error -9 reading relation 36941866
Sun Aug 16 21:23:00 2020  error -15 reading relation 38936225
Sun Aug 16 21:23:25 2020  error -5 reading relation 40814585
Sun Aug 16 21:23:30 2020  error -1 reading relation 41178088
Sun Aug 16 21:23:36 2020  error -15 reading relation 41609347
Sun Aug 16 21:24:36 2020  error -15 reading relation 46021893
Sun Aug 16 21:26:22 2020  error -9 reading relation 53822264
Sun Aug 16 21:27:12 2020  error -5 reading relation 57424759
Sun Aug 16 21:27:38 2020  error -15 reading relation 59385009
Sun Aug 16 21:28:01 2020  error -9 reading relation 61066510
Sun Aug 16 21:28:24 2020  error -9 reading relation 62756831
Sun Aug 16 21:29:22 2020  error -15 reading relation 67055368
Sun Aug 16 21:30:21 2020  error -5 reading relation 71371920
Sun Aug 16 21:30:21 2020  error -1 reading relation 71372623
Sun Aug 16 21:30:21 2020  error -1 reading relation 71377997
Sun Aug 16 21:30:42 2020  error -15 reading relation 72951105
Sun Aug 16 21:31:40 2020  error -15 reading relation 77191398
Sun Aug 16 21:31:55 2020  error -9 reading relation 78325107
Sun Aug 16 21:31:57 2020  error -9 reading relation 78413408
Sun Aug 16 21:32:19 2020  error -15 reading relation 80000307
Sun Aug 16 21:32:21 2020  error -1 reading relation 80154258
Sun Aug 16 21:32:32 2020  error -15 reading relation 81049324
Sun Aug 16 21:32:36 2020  error -9 reading relation 81285017
Sun Aug 16 21:32:36 2020  error -15 reading relation 81352666
Sun Aug 16 21:32:37 2020  error -9 reading relation 81411392
Sun Aug 16 21:33:15 2020  error -1 reading relation 84151450
Sun Aug 16 21:33:20 2020  error -9 reading relation 84573478
Sun Aug 16 21:34:26 2020  error -9 reading relation 89428805
Sun Aug 16 21:34:33 2020  error -15 reading relation 89940604
Sun Aug 16 21:34:42 2020  error -15 reading relation 90603319
Sun Aug 16 21:34:44 2020  error -9 reading relation 90769269
Sun Aug 16 21:34:56 2020  error -1 reading relation 91661252
Sun Aug 16 21:34:58 2020  error -1 reading relation 91754951
Sun Aug 16 21:35:05 2020  error -9 reading relation 92287663
Sun Aug 16 21:35:14 2020  error -5 reading relation 92965934
Sun Aug 16 21:35:18 2020  error -15 reading relation 93209817
Sun Aug 16 21:35:35 2020  error -1 reading relation 94508878
Sun Aug 16 21:35:35 2020  error -9 reading relation 94515809
Sun Aug 16 21:35:36 2020  error -9 reading relation 94524464
Sun Aug 16 21:35:42 2020  error -9 reading relation 94972871
Sun Aug 16 21:35:47 2020  error -15 reading relation 95331430
Sun Aug 16 21:35:50 2020  error -5 reading relation 95562566
Sun Aug 16 21:36:02 2020  error -1 reading relation 96436459
Sun Aug 16 21:36:11 2020  error -9 reading relation 97114417
Sun Aug 16 21:36:15 2020  error -15 reading relation 97440154
Sun Aug 16 21:36:18 2020  error -15 reading relation 97610890
Sun Aug 16 21:36:23 2020  error -15 reading relation 98026945
Sun Aug 16 21:36:34 2020  error -15 reading relation 98808894
Sun Aug 16 21:36:37 2020  error -9 reading relation 99007611
Sun Aug 16 21:36:39 2020  error -15 reading relation 99135369
Sun Aug 16 21:36:39 2020  error -15 reading relation 99143739
Sun Aug 16 21:36:50 2020  error -15 reading relation 99990657
Sun Aug 16 21:37:24 2020  error -9 reading relation 102471797
Sun Aug 16 21:37:37 2020  error -9 reading relation 103416276
Sun Aug 16 21:37:44 2020  error -5 reading relation 103937762
Sun Aug 16 21:38:08 2020  error -5 reading relation 105700347
Sun Aug 16 21:38:16 2020  error -5 reading relation 106284019
Sun Aug 16 21:38:18 2020  error -5 reading relation 106445692
Sun Aug 16 21:38:19 2020  error -9 reading relation 106524178
Sun Aug 16 21:38:25 2020  error -15 reading relation 106916122
Sun Aug 16 21:38:43 2020  error -15 reading relation 108261483
Sun Aug 16 21:39:10 2020  error -9 reading relation 110199107
Sun Aug 16 21:39:11 2020  error -15 reading relation 110261084
Sun Aug 16 21:39:30 2020  error -15 reading relation 111691063
Sun Aug 16 21:39:49 2020  error -15 reading relation 113117015
Sun Aug 16 21:39:49 2020  error -9 reading relation 113118614
Sun Aug 16 21:39:50 2020  error -9 reading relation 113140057
Sun Aug 16 21:39:50 2020  error -15 reading relation 113142990
Sun Aug 16 21:39:55 2020  error -5 reading relation 113569223
Sun Aug 16 21:39:56 2020  error -9 reading relation 113575601
Sun Aug 16 21:40:00 2020  error -9 reading relation 113893550
Sun Aug 16 21:40:05 2020  error -15 reading relation 114229265
Sun Aug 16 21:40:05 2020  error -1 reading relation 114246793
Sun Aug 16 21:40:05 2020  error -9 reading relation 114252175
Sun Aug 16 21:40:12 2020  error -15 reading relation 114749548
Sun Aug 16 21:40:29 2020  error -9 reading relation 115983951
Sun Aug 16 21:40:30 2020  error -1 reading relation 116086940
Sun Aug 16 21:40:42 2020  error -15 reading relation 116942157
Sun Aug 16 21:40:42 2020  error -9 reading relation 116970154
Sun Aug 16 21:40:45 2020  error -1 reading relation 117161880
Sun Aug 16 21:40:45 2020  error -15 reading relation 117162403
Sun Aug 16 21:40:46 2020  error -15 reading relation 117257790
Sun Aug 16 21:40:54 2020  error -5 reading relation 117827789
Sun Aug 16 21:40:54 2020  error -15 reading relation 117833624
Sun Aug 16 21:40:54 2020  error -5 reading relation 117840565
Sun Aug 16 21:41:05 2020  error -9 reading relation 118639583
Sun Aug 16 21:41:18 2020  error -15 reading relation 119566997
Sun Aug 16 21:41:21 2020  error -9 reading relation 119802893
Sun Aug 16 21:41:22 2020  error -15 reading relation 119919625
Sun Aug 16 21:41:22 2020  skipped 1 relations with b > 2^32
Sun Aug 16 21:41:22 2020  skipped 53 relations with composite factors
Sun Aug 16 21:41:22 2020  found 19952148 hash collisions in 119927801 relations
Sun Aug 16 21:41:50 2020  added 1217734 free relations
Sun Aug 16 21:41:50 2020  commencing duplicate removal, pass 2
Sun Aug 16 21:44:08 2020  found 17889695 duplicates and 103255840 unique relations
Sun Aug 16 21:44:08 2020  memory use: 660.8 MB
Sun Aug 16 21:44:08 2020  reading ideals above 77922304
Sun Aug 16 21:44:08 2020  commencing singleton removal, initial pass
Sun Aug 16 22:02:26 2020  memory use: 2756.0 MB
Sun Aug 16 22:02:26 2020  reading all ideals from disk
Sun Aug 16 22:02:27 2020  memory use: 1734.0 MB
Sun Aug 16 22:02:31 2020  commencing in-memory singleton removal
Sun Aug 16 22:02:34 2020  begin with 103255840 relations and 82303267 unique ideals
Sun Aug 16 22:03:09 2020  reduce to 69552107 relations and 45336770 ideals in 13 passes
Sun Aug 16 22:03:09 2020  max relations containing the same ideal: 47
Sun Aug 16 22:03:15 2020  reading ideals above 720000
Sun Aug 16 22:03:15 2020  commencing singleton removal, initial pass
Sun Aug 16 22:17:58 2020  memory use: 1506.0 MB
Sun Aug 16 22:17:59 2020  reading all ideals from disk
Sun Aug 16 22:18:16 2020  memory use: 2589.9 MB
Sun Aug 16 22:18:23 2020  keeping 54088877 ideals with weight <= 200, target excess is 357027
Sun Aug 16 22:18:30 2020  commencing in-memory singleton removal
Sun Aug 16 22:18:35 2020  begin with 69552107 relations and 54088877 unique ideals
Sun Aug 16 22:19:08 2020  reduce to 69549380 relations and 54086150 ideals in 6 passes
Sun Aug 16 22:19:08 2020  max relations containing the same ideal: 200
Sun Aug 16 22:19:38 2020  removing 8433770 relations and 6433770 ideals in 2000000 cliques
Sun Aug 16 22:19:40 2020  commencing in-memory singleton removal
Sun Aug 16 22:19:45 2020  begin with 61115610 relations and 54086150 unique ideals
Sun Aug 16 22:20:29 2020  reduce to 60291627 relations and 46799355 ideals in 9 passes
Sun Aug 16 22:20:29 2020  max relations containing the same ideal: 192
Sun Aug 16 22:20:54 2020  removing 6739624 relations and 4739624 ideals in 2000000 cliques
Sun Aug 16 22:20:56 2020  commencing in-memory singleton removal
Sun Aug 16 22:21:00 2020  begin with 53552003 relations and 46799355 unique ideals
Sun Aug 16 22:21:33 2020  reduce to 52972439 relations and 41461471 ideals in 8 passes
Sun Aug 16 22:21:33 2020  max relations containing the same ideal: 181
Sun Aug 16 22:21:56 2020  removing 6257109 relations and 4257109 ideals in 2000000 cliques
Sun Aug 16 22:21:58 2020  commencing in-memory singleton removal
Sun Aug 16 22:22:01 2020  begin with 46715330 relations and 41461471 unique ideals
Sun Aug 16 22:22:26 2020  reduce to 46187432 relations and 36658096 ideals in 7 passes
Sun Aug 16 22:22:26 2020  max relations containing the same ideal: 164
Sun Aug 16 22:22:46 2020  removing 6016766 relations and 4016766 ideals in 2000000 cliques
Sun Aug 16 22:22:48 2020  commencing in-memory singleton removal
Sun Aug 16 22:22:51 2020  begin with 40170666 relations and 36658096 unique ideals
Sun Aug 16 22:23:12 2020  reduce to 39646839 relations and 32097289 ideals in 7 passes
Sun Aug 16 22:23:12 2020  max relations containing the same ideal: 148
Sun Aug 16 22:23:30 2020  removing 5868839 relations and 3868839 ideals in 2000000 cliques
Sun Aug 16 22:23:31 2020  commencing in-memory singleton removal
Sun Aug 16 22:23:34 2020  begin with 33778000 relations and 32097289 unique ideals
Sun Aug 16 22:23:52 2020  reduce to 33228040 relations and 27654343 ideals in 7 passes
Sun Aug 16 22:23:52 2020  max relations containing the same ideal: 133
Sun Aug 16 22:24:06 2020  removing 5763177 relations and 3763177 ideals in 2000000 cliques
Sun Aug 16 22:24:08 2020  commencing in-memory singleton removal
Sun Aug 16 22:24:10 2020  begin with 27464863 relations and 27654343 unique ideals
Sun Aug 16 22:24:24 2020  reduce to 26864808 relations and 23260037 ideals in 7 passes
Sun Aug 16 22:24:24 2020  max relations containing the same ideal: 114
Sun Aug 16 22:24:35 2020  removing 5680388 relations and 3680388 ideals in 2000000 cliques
Sun Aug 16 22:24:37 2020  commencing in-memory singleton removal
Sun Aug 16 22:24:38 2020  begin with 21184420 relations and 23260037 unique ideals
Sun Aug 16 22:24:50 2020  reduce to 20493212 relations and 18844233 ideals in 8 passes
Sun Aug 16 22:24:50 2020  max relations containing the same ideal: 95
Sun Aug 16 22:24:59 2020  removing 3764463 relations and 2529636 ideals in 1234827 cliques
Sun Aug 16 22:25:00 2020  commencing in-memory singleton removal
Sun Aug 16 22:25:02 2020  begin with 16728749 relations and 18844233 unique ideals
Sun Aug 16 22:25:11 2020  reduce to 16284594 relations and 15846690 ideals in 8 passes
Sun Aug 16 22:25:11 2020  max relations containing the same ideal: 78
Sun Aug 16 22:25:18 2020  removing 140932 relations and 117180 ideals in 23752 cliques
Sun Aug 16 22:25:18 2020  commencing in-memory singleton removal
Sun Aug 16 22:25:19 2020  begin with 16143662 relations and 15846690 unique ideals
Sun Aug 16 22:25:25 2020  reduce to 16142685 relations and 15728531 ideals in 5 passes
Sun Aug 16 22:25:25 2020  max relations containing the same ideal: 78
Sun Aug 16 22:25:28 2020  relations with 0 large ideals: 13235
Sun Aug 16 22:25:28 2020  relations with 1 large ideals: 5194
Sun Aug 16 22:25:28 2020  relations with 2 large ideals: 58719
Sun Aug 16 22:25:28 2020  relations with 3 large ideals: 403569
Sun Aug 16 22:25:28 2020  relations with 4 large ideals: 1481096
Sun Aug 16 22:25:28 2020  relations with 5 large ideals: 3217717
Sun Aug 16 22:25:28 2020  relations with 6 large ideals: 4325186
Sun Aug 16 22:25:28 2020  relations with 7+ large ideals: 6637969
Sun Aug 16 22:25:28 2020  commencing 2-way merge
Sun Aug 16 22:25:37 2020  reduce to 10899892 relation sets and 10485738 unique ideals
Sun Aug 16 22:25:37 2020  commencing full merge
Sun Aug 16 22:29:27 2020  memory use: 1412.1 MB
Sun Aug 16 22:29:28 2020  found 5143264 cycles, need 5103938
Sun Aug 16 22:29:29 2020  weight of 5103938 cycles is about 536040706 (105.02/cycle)
Sun Aug 16 22:29:29 2020  distribution of cycle lengths:
Sun Aug 16 22:29:29 2020  1 relations: 198298
Sun Aug 16 22:29:29 2020  2 relations: 326031
Sun Aug 16 22:29:29 2020  3 relations: 402603
Sun Aug 16 22:29:29 2020  4 relations: 429056
Sun Aug 16 22:29:29 2020  5 relations: 443997
Sun Aug 16 22:29:29 2020  6 relations: 437081
Sun Aug 16 22:29:29 2020  7 relations: 421018
Sun Aug 16 22:29:29 2020  8 relations: 391834
Sun Aug 16 22:29:29 2020  9 relations: 353525
Sun Aug 16 22:29:29 2020  10+ relations: 1700495
Sun Aug 16 22:29:29 2020  heaviest cycle: 28 relations
Sun Aug 16 22:29:30 2020  commencing cycle optimization
Sun Aug 16 22:29:38 2020  start with 41041903 relations
Sun Aug 16 22:31:12 2020  pruned 1874984 relations
Sun Aug 16 22:31:12 2020  memory use: 1098.5 MB
Sun Aug 16 22:31:12 2020  distribution of cycle lengths:
Sun Aug 16 22:31:12 2020  1 relations: 198298
Sun Aug 16 22:31:12 2020  2 relations: 334387
Sun Aug 16 22:31:12 2020  3 relations: 420716
Sun Aug 16 22:31:12 2020  4 relations: 448629
Sun Aug 16 22:31:12 2020  5 relations: 467621
Sun Aug 16 22:31:12 2020  6 relations: 459837
Sun Aug 16 22:31:12 2020  7 relations: 443440
Sun Aug 16 22:31:12 2020  8 relations: 409421
Sun Aug 16 22:31:12 2020  9 relations: 366728
Sun Aug 16 22:31:12 2020  10+ relations: 1554861
Sun Aug 16 22:31:12 2020  heaviest cycle: 28 relations
Sun Aug 16 22:31:18 2020  RelProcTime: 4629
Sun Aug 16 22:31:18 2020
Sun Aug 16 22:31:18 2020  commencing linear algebra
Sun Aug 16 22:31:19 2020  read 5103938 cycles
Sun Aug 16 22:31:29 2020  cycles contain 15939762 unique relations
Sun Aug 16 22:35:36 2020  read 15939762 relations
Sun Aug 16 22:36:06 2020  using 20 quadratic characters above 4294917295
Sun Aug 16 22:37:10 2020  building initial matrix
Sun Aug 16 22:40:27 2020  memory use: 2012.0 MB
Sun Aug 16 22:40:30 2020  read 5103938 cycles
Sun Aug 16 22:40:32 2020  matrix is 5103761 x 5103938 (2127.7 MB) with weight 621706926 (121.81/col)
Sun Aug 16 22:40:32 2020  sparse part has weight 501631469 (98.28/col)
Sun Aug 16 22:41:31 2020  filtering completed in 2 passes
Sun Aug 16 22:41:32 2020  matrix is 5103577 x 5103754 (2127.7 MB) with weight 621699285 (121.81/col)
Sun Aug 16 22:41:32 2020  sparse part has weight 501628261 (98.29/col)
Sun Aug 16 22:41:46 2020  matrix starts at (0, 0)
Sun Aug 16 22:41:47 2020  matrix is 5103577 x 5103754 (2127.7 MB) with weight 621699285 (121.81/col)
Sun Aug 16 22:41:47 2020  sparse part has weight 501628261 (98.29/col)
Sun Aug 16 22:41:47 2020  saving the first 48 matrix rows for later
Sun Aug 16 22:41:49 2020  matrix includes 64 packed rows
Sun Aug 16 22:41:50 2020  matrix is 5103529 x 5103754 (2041.4 MB) with weight 522003562 (102.28/col)
Sun Aug 16 22:41:50 2020  sparse part has weight 484111575 (94.85/col)
Sun Aug 16 22:41:50 2020  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
Sun Aug 16 22:42:19 2020  commencing Lanczos iteration (8 threads)
Sun Aug 16 22:42:19 2020  memory use: 1705.4 MB
Sun Aug 16 22:42:40 2020  linear algebra at 0.0%, ETA 18h44m
Sun Aug 16 22:42:48 2020  checkpointing every 260000 dimensions
Mon Aug 17 17:59:32 2020  lanczos halted after 80710 iterations (dim = 5103527)
Mon Aug 17 17:59:37 2020  recovered 33 nontrivial dependencies
Mon Aug 17 17:59:39 2020  BLanczosTime: 70101
Mon Aug 17 17:59:39 2020
Mon Aug 17 17:59:39 2020  commencing square root phase
Mon Aug 17 17:59:39 2020  handling dependencies 1 to 64
Mon Aug 17 17:59:39 2020  reading relations for dependency 1
Mon Aug 17 17:59:40 2020  read 2553084 cycles
Mon Aug 17 17:59:45 2020  cycles contain 7973228 unique relations
Mon Aug 17 18:02:40 2020  read 7973228 relations
Mon Aug 17 18:03:19 2020  multiplying 7973228 relations
Mon Aug 17 18:08:02 2020  multiply complete, coefficients have about 202.17 million bits
Mon Aug 17 18:08:04 2020  initial square root is modulo 17997547
Mon Aug 17 18:14:07 2020  GCD is N, no factor found
Mon Aug 17 18:14:07 2020  reading relations for dependency 2
Mon Aug 17 18:14:08 2020  read 2552588 cycles
Mon Aug 17 18:14:12 2020  cycles contain 7970698 unique relations
Mon Aug 17 18:17:07 2020  read 7970698 relations
Mon Aug 17 18:17:47 2020  multiplying 7970698 relations
Mon Aug 17 18:22:29 2020  multiply complete, coefficients have about 202.10 million bits
Mon Aug 17 18:22:31 2020  initial square root is modulo 17896003
Mon Aug 17 18:28:34 2020  sqrtTime: 1735
Mon Aug 17 18:28:34 2020  p53 factor: 32170652446812320931387130595103234679380837336115991
Mon Aug 17 18:28:34 2020  p162 factor: 313919492836155192784522739168899633430838567074365064323901546854704349306791238675910651786473012417095681855180517108702259074060566732712572811102241620335269
Mon Aug 17 18:28:34 2020  elapsed time 21:14:27