Msieve log of C156_434040_3181

Sun Mar 09 19:52:07 2025
Sun Mar 09 19:52:07 2025
Sun Mar 09 19:52:07 2025  Msieve v. 1.53 (SVN 988)
Sun Mar 09 19:52:07 2025  random seeds: 246f5700 d05f4742
Sun Mar 09 19:52:07 2025  factoring 283389302880982422325049906443799542347166630571912741062733805061292543045861595618903457964248079599988188667760562041603030608267638690067804201741637883 (156 digits)
Sun Mar 09 19:52:07 2025  searching for 15-digit factors
Sun Mar 09 19:52:07 2025  commencing number field sieve (156-digit input)
Sun Mar 09 19:52:07 2025  R0: -573243550946090977832074756988
Sun Mar 09 19:52:07 2025  R1: 667757437758552839233699
Sun Mar 09 19:52:07 2025  A0: 389227144543966159356779576065406178
Sun Mar 09 19:52:07 2025  A1: -1478876327240316969242987503783
Sun Mar 09 19:52:07 2025  A2: -3503219788278960361051536
Sun Mar 09 19:52:07 2025  A3: 5647993190250762739
Sun Mar 09 19:52:07 2025  A4: 23177174754162
Sun Mar 09 19:52:07 2025  A5: 231840
Sun Mar 09 19:52:07 2025  skew 527648.21, size 4.174e-015, alpha -7.137, combined = 2.643e-012 rroots = 3
Sun Mar 09 19:52:07 2025
Sun Mar 09 19:52:07 2025  commencing relation filtering
Sun Mar 09 19:52:07 2025  setting target matrix density to 130.0
Sun Mar 09 19:52:07 2025  estimated available RAM is 16151.1 MB
Sun Mar 09 19:52:07 2025  commencing duplicate removal, pass 1
Sun Mar 09 19:54:26 2025  error -1 reading relation 20024892
Sun Mar 09 19:55:45 2025  error -15 reading relation 31039252
Sun Mar 09 19:55:53 2025  error -15 reading relation 32179393
Sun Mar 09 19:56:31 2025  error -9 reading relation 37511060
Sun Mar 09 19:56:45 2025  error -9 reading relation 39584877
Sun Mar 09 19:57:36 2025  error -1 reading relation 46880104
Sun Mar 09 19:57:38 2025  error -9 reading relation 47244454
Sun Mar 09 19:57:39 2025  error -15 reading relation 47347802
Sun Mar 09 19:57:50 2025  error -15 reading relation 48909065
Sun Mar 09 19:57:51 2025  error -9 reading relation 49010239
Sun Mar 09 19:57:53 2025  error -9 reading relation 49258831
Sun Mar 09 19:57:55 2025  error -15 reading relation 49508306
Sun Mar 09 19:58:04 2025  error -9 reading relation 50946644
Sun Mar 09 19:58:08 2025  error -1 reading relation 51501773
Sun Mar 09 19:58:10 2025  error -15 reading relation 51887043
Sun Mar 09 19:58:11 2025  error -1 reading relation 51982109
Sun Mar 09 19:58:13 2025  error -9 reading relation 52186464
Sun Mar 09 19:58:21 2025  error -1 reading relation 53257574
Sun Mar 09 19:58:27 2025  error -15 reading relation 54222902
Sun Mar 09 19:58:29 2025  error -9 reading relation 54461044
Sun Mar 09 19:58:30 2025  error -1 reading relation 54644832
Sun Mar 09 19:58:37 2025  error -9 reading relation 55678184
Sun Mar 09 19:58:43 2025  error -15 reading relation 56549868
Sun Mar 09 19:58:44 2025  error -1 reading relation 56737325
Sun Mar 09 19:59:02 2025  error -9 reading relation 59239861
Sun Mar 09 19:59:03 2025  error -15 reading relation 59437924
Sun Mar 09 19:59:23 2025  error -15 reading relation 62236301
Sun Mar 09 19:59:29 2025  error -9 reading relation 63134475
Sun Mar 09 19:59:40 2025  error -9 reading relation 64663804
Sun Mar 09 20:00:10 2025  error -9 reading relation 68897560
Sun Mar 09 20:01:24 2025  error -1 reading relation 79354115
Sun Mar 09 20:02:52 2025  error -9 reading relation 91576375
Sun Mar 09 20:03:33 2025  error -15 reading relation 97171878
Sun Mar 09 20:03:51 2025  error -15 reading relation 99726788
Sun Mar 09 20:04:15 2025  error -15 reading relation 103091129
Sun Mar 09 20:04:30 2025  error -9 reading relation 105228421
Sun Mar 09 20:04:30 2025  error -9 reading relation 105273097
Sun Mar 09 20:04:31 2025  error -9 reading relation 105373304
Sun Mar 09 20:04:32 2025  error -15 reading relation 105571668
Sun Mar 09 20:04:33 2025  error -9 reading relation 105721895
Sun Mar 09 20:04:34 2025  error -9 reading relation 105805654
Sun Mar 09 20:04:35 2025  error -9 reading relation 105954024
Sun Mar 09 20:04:35 2025  error -15 reading relation 106003606
Sun Mar 09 20:04:38 2025  error -15 reading relation 106429932
Sun Mar 09 20:04:45 2025  error -1 reading relation 107417323
Sun Mar 09 20:04:46 2025  error -1 reading relation 107586917
Sun Mar 09 20:04:54 2025  error -15 reading relation 108610532
Sun Mar 09 20:05:01 2025  error -9 reading relation 109563454
Sun Mar 09 20:05:01 2025  error -9 reading relation 109571858
Sun Mar 09 20:05:01 2025  error -9 reading relation 109576332
Sun Mar 09 20:05:01 2025  error -9 reading relation 109578372
Sun Mar 09 20:05:29 2025  error -9 reading relation 113592601
Sun Mar 09 20:05:31 2025  error -9 reading relation 113874615
Sun Mar 09 20:06:08 2025  error -1 reading relation 118822112
Sun Mar 09 20:06:22 2025  error -15 reading relation 120833868
Sun Mar 09 20:06:24 2025  error -5 reading relation 121023302
Sun Mar 09 20:07:10 2025  error -9 reading relation 128037601
Sun Mar 09 20:07:13 2025  error -15 reading relation 128385455
Sun Mar 09 20:07:31 2025  error -5 reading relation 131066035
Sun Mar 09 20:07:36 2025  error -5 reading relation 131748182
Sun Mar 09 20:08:02 2025  error -1 reading relation 135637822
Sun Mar 09 20:08:02 2025  error -1 reading relation 135642777
Sun Mar 09 20:08:02 2025  error -5 reading relation 135655566
Sun Mar 09 20:08:03 2025  error -1 reading relation 135835916
Sun Mar 09 20:08:03 2025  error -1 reading relation 135843078
Sun Mar 09 20:08:14 2025  error -15 reading relation 137575405
Sun Mar 09 20:08:16 2025  error -15 reading relation 137778157
Sun Mar 09 20:08:20 2025  skipped 45 relations with composite factors
Sun Mar 09 20:08:20 2025  found 21316072 hash collisions in 138325071 relations
Sun Mar 09 20:08:45 2025  added 121746 free relations
Sun Mar 09 20:08:45 2025  commencing duplicate removal, pass 2
Sun Mar 09 20:10:21 2025  found 17529333 duplicates and 120917484 unique relations
Sun Mar 09 20:10:21 2025  memory use: 660.8 MB
Sun Mar 09 20:10:21 2025  reading ideals above 69926912
Sun Mar 09 20:10:21 2025  commencing singleton removal, initial pass
Sun Mar 09 20:21:27 2025  memory use: 2756.0 MB
Sun Mar 09 20:21:28 2025  reading all ideals from disk
Sun Mar 09 20:21:31 2025  memory use: 2020.0 MB
Sun Mar 09 20:21:39 2025  commencing in-memory singleton removal
Sun Mar 09 20:21:47 2025  begin with 120917484 relations and 86013693 unique ideals
Sun Mar 09 20:22:41 2025  reduce to 91700636 relations and 54633096 ideals in 10 passes
Sun Mar 09 20:22:41 2025  max relations containing the same ideal: 71
Sun Mar 09 20:22:48 2025  reading ideals above 720000
Sun Mar 09 20:22:49 2025  commencing singleton removal, initial pass
Sun Mar 09 20:34:14 2025  memory use: 1506.0 MB
Sun Mar 09 20:34:15 2025  reading all ideals from disk
Sun Mar 09 20:34:21 2025  memory use: 3356.6 MB
Sun Mar 09 20:34:38 2025  keeping 62384225 ideals with weight <= 200, target excess is 476777
Sun Mar 09 20:34:51 2025  commencing in-memory singleton removal
Sun Mar 09 20:35:05 2025  begin with 91700636 relations and 62384225 unique ideals
Sun Mar 09 20:36:27 2025  reduce to 91700244 relations and 62383833 ideals in 8 passes
Sun Mar 09 20:36:27 2025  max relations containing the same ideal: 200
Sun Mar 09 20:37:20 2025  removing 7313778 relations and 5313778 ideals in 2000000 cliques
Sun Mar 09 20:37:23 2025  commencing in-memory singleton removal
Sun Mar 09 20:37:34 2025  begin with 84386466 relations and 62383833 unique ideals
Sun Mar 09 20:38:41 2025  reduce to 83905513 relations and 56575804 ideals in 7 passes
Sun Mar 09 20:38:41 2025  max relations containing the same ideal: 198
Sun Mar 09 20:39:30 2025  removing 5882587 relations and 3882587 ideals in 2000000 cliques
Sun Mar 09 20:39:32 2025  commencing in-memory singleton removal
Sun Mar 09 20:39:44 2025  begin with 78022926 relations and 56575804 unique ideals
Sun Mar 09 20:40:35 2025  reduce to 77705048 relations and 52367631 ideals in 6 passes
Sun Mar 09 20:40:35 2025  max relations containing the same ideal: 189
Sun Mar 09 20:41:19 2025  removing 5508590 relations and 3508590 ideals in 2000000 cliques
Sun Mar 09 20:41:21 2025  commencing in-memory singleton removal
Sun Mar 09 20:41:30 2025  begin with 72196458 relations and 52367631 unique ideals
Sun Mar 09 20:42:26 2025  reduce to 71927856 relations and 48583922 ideals in 7 passes
Sun Mar 09 20:42:26 2025  max relations containing the same ideal: 183
Sun Mar 09 20:43:08 2025  removing 5308143 relations and 3308143 ideals in 2000000 cliques
Sun Mar 09 20:43:10 2025  commencing in-memory singleton removal
Sun Mar 09 20:43:20 2025  begin with 66619713 relations and 48583922 unique ideals
Sun Mar 09 20:44:02 2025  reduce to 66374366 relations and 45024085 ideals in 6 passes
Sun Mar 09 20:44:02 2025  max relations containing the same ideal: 175
Sun Mar 09 20:44:43 2025  removing 5175443 relations and 3175443 ideals in 2000000 cliques
Sun Mar 09 20:44:45 2025  commencing in-memory singleton removal
Sun Mar 09 20:44:53 2025  begin with 61198923 relations and 45024085 unique ideals
Sun Mar 09 20:45:33 2025  reduce to 60964346 relations and 41608000 ideals in 6 passes
Sun Mar 09 20:45:33 2025  max relations containing the same ideal: 166
Sun Mar 09 20:46:10 2025  removing 5077800 relations and 3077800 ideals in 2000000 cliques
Sun Mar 09 20:46:13 2025  commencing in-memory singleton removal
Sun Mar 09 20:46:19 2025  begin with 55886546 relations and 41608000 unique ideals
Sun Mar 09 20:46:54 2025  reduce to 55654249 relations and 38291408 ideals in 6 passes
Sun Mar 09 20:46:54 2025  max relations containing the same ideal: 156
Sun Mar 09 20:47:25 2025  removing 5006087 relations and 3006087 ideals in 2000000 cliques
Sun Mar 09 20:47:27 2025  commencing in-memory singleton removal
Sun Mar 09 20:47:34 2025  begin with 50648162 relations and 38291408 unique ideals
Sun Mar 09 20:48:01 2025  reduce to 50413539 relations and 35043564 ideals in 5 passes
Sun Mar 09 20:48:01 2025  max relations containing the same ideal: 145
Sun Mar 09 20:48:32 2025  removing 4950120 relations and 2950120 ideals in 2000000 cliques
Sun Mar 09 20:48:34 2025  commencing in-memory singleton removal
Sun Mar 09 20:48:39 2025  begin with 45463419 relations and 35043564 unique ideals
Sun Mar 09 20:49:08 2025  reduce to 45220392 relations and 31842564 ideals in 6 passes
Sun Mar 09 20:49:08 2025  max relations containing the same ideal: 136
Sun Mar 09 20:49:36 2025  removing 4909229 relations and 2909229 ideals in 2000000 cliques
Sun Mar 09 20:49:37 2025  commencing in-memory singleton removal
Sun Mar 09 20:49:43 2025  begin with 40311163 relations and 31842564 unique ideals
Sun Mar 09 20:50:12 2025  reduce to 40054701 relations and 28667913 ideals in 7 passes
Sun Mar 09 20:50:12 2025  max relations containing the same ideal: 126
Sun Mar 09 20:50:37 2025  removing 4877483 relations and 2877483 ideals in 2000000 cliques
Sun Mar 09 20:50:39 2025  commencing in-memory singleton removal
Sun Mar 09 20:50:44 2025  begin with 35177218 relations and 28667913 unique ideals
Sun Mar 09 20:51:05 2025  reduce to 34898884 relations and 25501046 ideals in 6 passes
Sun Mar 09 20:51:05 2025  max relations containing the same ideal: 113
Sun Mar 09 20:51:26 2025  removing 4849479 relations and 2849479 ideals in 2000000 cliques
Sun Mar 09 20:51:28 2025  commencing in-memory singleton removal
Sun Mar 09 20:51:32 2025  begin with 30049405 relations and 25501046 unique ideals
Sun Mar 09 20:51:51 2025  reduce to 29737579 relations and 22326127 ideals in 6 passes
Sun Mar 09 20:51:51 2025  max relations containing the same ideal: 102
Sun Mar 09 20:52:09 2025  removing 4834824 relations and 2834824 ideals in 2000000 cliques
Sun Mar 09 20:52:10 2025  commencing in-memory singleton removal
Sun Mar 09 20:52:13 2025  begin with 24902755 relations and 22326127 unique ideals
Sun Mar 09 20:52:29 2025  reduce to 24545779 relations and 19116020 ideals in 6 passes
Sun Mar 09 20:52:29 2025  max relations containing the same ideal: 93
Sun Mar 09 20:52:45 2025  removing 4829408 relations and 2829408 ideals in 2000000 cliques
Sun Mar 09 20:52:46 2025  commencing in-memory singleton removal
Sun Mar 09 20:52:48 2025  begin with 19716371 relations and 19116020 unique ideals
Sun Mar 09 20:53:01 2025  reduce to 19291426 relations and 15835903 ideals in 7 passes
Sun Mar 09 20:53:01 2025  max relations containing the same ideal: 77
Sun Mar 09 20:53:14 2025  removing 4821968 relations and 2821968 ideals in 2000000 cliques
Sun Mar 09 20:53:15 2025  commencing in-memory singleton removal
Sun Mar 09 20:53:17 2025  begin with 14469458 relations and 15835903 unique ideals
Sun Mar 09 20:53:27 2025  reduce to 13933220 relations and 12436156 ideals in 8 passes
Sun Mar 09 20:53:27 2025  max relations containing the same ideal: 64
Sun Mar 09 20:53:35 2025  removing 2494476 relations and 1550474 ideals in 944002 cliques
Sun Mar 09 20:53:36 2025  commencing in-memory singleton removal
Sun Mar 09 20:53:38 2025  begin with 11438744 relations and 12436156 unique ideals
Sun Mar 09 20:53:47 2025  reduce to 11099115 relations and 10525029 ideals in 8 passes
Sun Mar 09 20:53:47 2025  max relations containing the same ideal: 56
Sun Mar 09 20:53:53 2025  removing 107504 relations and 86480 ideals in 21024 cliques
Sun Mar 09 20:53:53 2025  commencing in-memory singleton removal
Sun Mar 09 20:53:54 2025  begin with 10991611 relations and 10525029 unique ideals
Sun Mar 09 20:54:00 2025  reduce to 10990550 relations and 10437486 ideals in 5 passes
Sun Mar 09 20:54:00 2025  max relations containing the same ideal: 55
Sun Mar 09 20:54:02 2025  relations with 0 large ideals: 1583
Sun Mar 09 20:54:02 2025  relations with 1 large ideals: 12940
Sun Mar 09 20:54:02 2025  relations with 2 large ideals: 157048
Sun Mar 09 20:54:02 2025  relations with 3 large ideals: 784193
Sun Mar 09 20:54:02 2025  relations with 4 large ideals: 2017630
Sun Mar 09 20:54:02 2025  relations with 5 large ideals: 2989413
Sun Mar 09 20:54:02 2025  relations with 6 large ideals: 2746411
Sun Mar 09 20:54:02 2025  relations with 7+ large ideals: 2281332
Sun Mar 09 20:54:02 2025  commencing 2-way merge
Sun Mar 09 20:54:11 2025  reduce to 7800793 relation sets and 7247729 unique ideals
Sun Mar 09 20:54:11 2025  commencing full merge
Sun Mar 09 20:57:48 2025  memory use: 918.4 MB
Sun Mar 09 20:57:50 2025  found 3409941 cycles, need 3381929
Sun Mar 09 20:57:51 2025  weight of 3381929 cycles is about 440466791 (130.24/cycle)
Sun Mar 09 20:57:51 2025  distribution of cycle lengths:
Sun Mar 09 20:57:51 2025  1 relations: 45225
Sun Mar 09 20:57:51 2025  2 relations: 142226
Sun Mar 09 20:57:51 2025  3 relations: 200881
Sun Mar 09 20:57:51 2025  4 relations: 233052
Sun Mar 09 20:57:51 2025  5 relations: 258901
Sun Mar 09 20:57:51 2025  6 relations: 266852
Sun Mar 09 20:57:51 2025  7 relations: 268022
Sun Mar 09 20:57:51 2025  8 relations: 256315
Sun Mar 09 20:57:51 2025  9 relations: 239775
Sun Mar 09 20:57:51 2025  10+ relations: 1470680
Sun Mar 09 20:57:51 2025  heaviest cycle: 28 relations
Sun Mar 09 20:57:53 2025  commencing cycle optimization
Sun Mar 09 20:58:01 2025  start with 32192563 relations
Sun Mar 09 20:59:53 2025  pruned 2011191 relations
Sun Mar 09 20:59:53 2025  memory use: 785.7 MB
Sun Mar 09 20:59:53 2025  distribution of cycle lengths:
Sun Mar 09 20:59:53 2025  1 relations: 45225
Sun Mar 09 20:59:53 2025  2 relations: 147108
Sun Mar 09 20:59:53 2025  3 relations: 211771
Sun Mar 09 20:59:53 2025  4 relations: 247381
Sun Mar 09 20:59:53 2025  5 relations: 278533
Sun Mar 09 20:59:53 2025  6 relations: 286814
Sun Mar 09 20:59:53 2025  7 relations: 289318
Sun Mar 09 20:59:53 2025  8 relations: 275291
Sun Mar 09 20:59:53 2025  9 relations: 256692
Sun Mar 09 20:59:53 2025  10+ relations: 1343796
Sun Mar 09 20:59:53 2025  heaviest cycle: 28 relations
Sun Mar 09 20:59:59 2025  RelProcTime: 4072
Sun Mar 09 20:59:59 2025
Sun Mar 09 20:59:59 2025  commencing linear algebra
Sun Mar 09 20:59:59 2025  read 3381929 cycles
Sun Mar 09 21:00:08 2025  cycles contain 10755358 unique relations
Sun Mar 09 21:01:14 2025  read 10755358 relations
Sun Mar 09 21:01:41 2025  using 20 quadratic characters above 4294917295
Sun Mar 09 21:02:29 2025  building initial matrix
Sun Mar 09 21:05:33 2025  memory use: 1506.7 MB
Sun Mar 09 21:05:37 2025  read 3381929 cycles
Sun Mar 09 21:05:38 2025  matrix is 3381748 x 3381929 (1679.9 MB) with weight 510176856 (150.85/col)
Sun Mar 09 21:05:38 2025  sparse part has weight 399788333 (118.21/col)
Sun Mar 09 21:06:25 2025  filtering completed in 2 passes
Sun Mar 09 21:06:26 2025  matrix is 3381674 x 3381855 (1679.9 MB) with weight 510172557 (150.86/col)
Sun Mar 09 21:06:26 2025  sparse part has weight 399786473 (118.22/col)
Sun Mar 09 21:06:37 2025  matrix starts at (0, 0)
Sun Mar 09 21:06:37 2025  matrix is 3381674 x 3381855 (1679.9 MB) with weight 510172557 (150.86/col)
Sun Mar 09 21:06:37 2025  sparse part has weight 399786473 (118.22/col)
Sun Mar 09 21:06:37 2025  saving the first 48 matrix rows for later
Sun Mar 09 21:06:39 2025  matrix includes 64 packed rows
Sun Mar 09 21:06:39 2025  matrix is 3381626 x 3381855 (1631.0 MB) with weight 439341208 (129.91/col)
Sun Mar 09 21:06:39 2025  sparse part has weight 393743607 (116.43/col)
Sun Mar 09 21:06:39 2025  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Sun Mar 09 21:06:58 2025  commencing Lanczos iteration (8 threads)
Sun Mar 09 21:06:58 2025  memory use: 1346.8 MB
Sun Mar 09 21:07:12 2025  linear algebra at 0.0%, ETA 8h38m
Sun Mar 09 21:07:16 2025  checkpointing every 410000 dimensions
Mon Mar 10 05:14:39 2025  lanczos halted after 53477 iterations (dim = 3381626)
Mon Mar 10 05:14:42 2025  recovered 30 nontrivial dependencies
Mon Mar 10 05:14:43 2025  BLanczosTime: 29684
Mon Mar 10 05:14:43 2025
Mon Mar 10 05:14:43 2025  commencing square root phase
Mon Mar 10 05:14:43 2025  handling dependencies 1 to 64
Mon Mar 10 05:14:43 2025  reading relations for dependency 1
Mon Mar 10 05:14:44 2025  read 1690094 cycles
Mon Mar 10 05:14:48 2025  cycles contain 5374788 unique relations
Mon Mar 10 05:15:40 2025  read 5374788 relations
Mon Mar 10 05:16:12 2025  multiplying 5374788 relations
Mon Mar 10 05:21:27 2025  multiply complete, coefficients have about 313.39 million bits
Mon Mar 10 05:21:29 2025  initial square root is modulo 420149
Mon Mar 10 05:27:57 2025  sqrtTime: 794
Mon Mar 10 05:27:57 2025  p58 factor: 1040483433196400129372075475752251781365688991036234144211
Mon Mar 10 05:27:57 2025  p99 factor: 272363109146679005750648445336339512940974416356135140470179865089287823921800522280658129578877753
Mon Mar 10 05:27:57 2025  elapsed time 09:35:50