Mon Apr 20 02:49:58 2026
Mon Apr 20 02:49:58 2026
Mon Apr 20 02:49:58 2026  Msieve v. 1.54 (SVN unknown)
Mon Apr 20 02:49:58 2026  random seeds: 98f8a648 21901c46
Mon Apr 20 02:49:58 2026  factoring 24376489989977889368211311037076000787118027694304146696618353886760351338916089244584313192935691194253346950163062213671166165398311452670208090211977629797209712624645059607819506434934592577349 (197 digits)
Mon Apr 20 02:49:59 2026  no P-1/P+1/ECM available, skipping
Mon Apr 20 02:49:59 2026  commencing number field sieve (197-digit input)
Mon Apr 20 02:49:59 2026  R0: 131032752392156819343301734054241622527
Mon Apr 20 02:49:59 2026  R1: -1
Mon Apr 20 02:49:59 2026  A0: 1
Mon Apr 20 02:49:59 2026  A1: 1
Mon Apr 20 02:49:59 2026  A2: 1
Mon Apr 20 02:49:59 2026  A3: 1
Mon Apr 20 02:49:59 2026  A4: 1
Mon Apr 20 02:49:59 2026  A5: 1
Mon Apr 20 02:49:59 2026  A6: 1
Mon Apr 20 02:49:59 2026  skew 1.35, size 2.502e-11, alpha 2.428, combined = 1.249e-12 rroots = 0
Mon Apr 20 02:49:59 2026
Mon Apr 20 02:49:59 2026  commencing relation filtering
Mon Apr 20 02:49:59 2026  setting target matrix density to 95.0
Mon Apr 20 02:49:59 2026  estimated available RAM is 95911.2 MB
Mon Apr 20 02:49:59 2026  commencing duplicate removal, pass 1
Mon Apr 20 02:50:31 2026  error -15 reading relation 8058419
Mon Apr 20 02:50:43 2026  error -9 reading relation 11136711
Mon Apr 20 02:51:07 2026  error -9 reading relation 17098675
Mon Apr 20 02:51:07 2026  error -9 reading relation 17116426
Mon Apr 20 02:51:07 2026  error -9 reading relation 17133459
Mon Apr 20 02:51:07 2026  error -9 reading relation 17141338
Mon Apr 20 02:55:58 2026  error -15 reading relation 83829514
Mon Apr 20 02:56:08 2026  error -15 reading relation 86243909
Mon Apr 20 02:56:10 2026  error -15 reading relation 86666072
Mon Apr 20 02:56:12 2026  error -1 reading relation 87383681
Mon Apr 20 02:56:13 2026  error -9 reading relation 87643474
Mon Apr 20 02:56:16 2026  error -9 reading relation 88215122
Mon Apr 20 02:57:11 2026  error -9 reading relation 101760600
Mon Apr 20 02:57:11 2026  error -5 reading relation 101777189
Mon Apr 20 02:57:11 2026  error -9 reading relation 101787172
Mon Apr 20 02:57:11 2026  error -1 reading relation 101794880
Mon Apr 20 02:57:11 2026  error -5 reading relation 101804172
Mon Apr 20 02:57:12 2026  error -9 reading relation 102125598
Mon Apr 20 02:57:12 2026  error -5 reading relation 102140668
Mon Apr 20 02:57:12 2026  error -9 reading relation 102148780
Mon Apr 20 02:57:34 2026  error -9 reading relation 107446290
Mon Apr 20 02:57:34 2026  error -9 reading relation 107521000
Mon Apr 20 02:57:34 2026  error -1 reading relation 107534891
Mon Apr 20 02:57:34 2026  error -9 reading relation 107615611
Mon Apr 20 02:57:34 2026  error -1 reading relation 107616852
Mon Apr 20 02:57:34 2026  error -9 reading relation 107633112
Mon Apr 20 02:57:35 2026  error -5 reading relation 107646619
Mon Apr 20 02:57:36 2026  error -15 reading relation 107917520
Mon Apr 20 02:57:36 2026  error -9 reading relation 107923134
Mon Apr 20 02:57:36 2026  error -15 reading relation 107932847
Mon Apr 20 02:57:36 2026  error -15 reading relation 107959025
Mon Apr 20 02:57:36 2026  error -15 reading relation 107967962
Mon Apr 20 02:57:50 2026  error -9 reading relation 111457769
Mon Apr 20 02:57:50 2026  error -1 reading relation 111464281
Mon Apr 20 02:57:50 2026  error -15 reading relation 111473820
Mon Apr 20 02:57:50 2026  error -5 reading relation 111480998
Mon Apr 20 02:57:50 2026  error -9 reading relation 111490363
Mon Apr 20 02:57:50 2026  error -9 reading relation 111508632
Mon Apr 20 02:57:50 2026  error -5 reading relation 111511089
Mon Apr 20 02:58:01 2026  error -9 reading relation 114530483
Mon Apr 20 02:58:01 2026  error -15 reading relation 114574912
Mon Apr 20 02:58:01 2026  error -15 reading relation 114656569
Mon Apr 20 02:58:02 2026  error -5 reading relation 114874293
Mon Apr 20 02:58:02 2026  error -9 reading relation 114963385
Mon Apr 20 02:58:03 2026  error -1 reading relation 115061892
Mon Apr 20 02:58:03 2026  error -15 reading relation 115112563
Mon Apr 20 02:58:03 2026  error -9 reading relation 115204496
Mon Apr 20 02:58:03 2026  error -9 reading relation 115234555
Mon Apr 20 02:58:04 2026  error -15 reading relation 115477932
Mon Apr 20 02:58:05 2026  error -9 reading relation 115635093
Mon Apr 20 02:58:22 2026  error -15 reading relation 120511189
Mon Apr 20 02:58:22 2026  error -1 reading relation 120513746
Mon Apr 20 02:58:22 2026  error -9 reading relation 120515907
Mon Apr 20 02:58:22 2026  error -9 reading relation 120542199
Mon Apr 20 02:58:22 2026  error -15 reading relation 120560677
Mon Apr 20 02:58:59 2026  skipped 4 relations with b > 2^32
Mon Apr 20 02:58:59 2026  skipped 37 relations with composite factors
Mon Apr 20 02:58:59 2026  found 23118222 hash collisions in 128024890 relations
Mon Apr 20 02:58:59 2026  commencing duplicate removal, pass 2
Mon Apr 20 03:00:34 2026  found 21341275 duplicates and 106683615 unique relations
Mon Apr 20 03:00:34 2026  memory use: 660.8 MB
Mon Apr 20 03:00:34 2026  reading ideals above 720000
Mon Apr 20 03:00:34 2026  commencing singleton removal, initial pass
Mon Apr 20 03:11:40 2026  memory use: 3012.0 MB
Mon Apr 20 03:11:40 2026  reading all ideals from disk
Mon Apr 20 03:11:43 2026  memory use: 3966.6 MB
Mon Apr 20 03:11:53 2026  keeping 111366807 ideals with weight <= 200, target excess is 545086
Mon Apr 20 03:12:08 2026  commencing in-memory singleton removal
Mon Apr 20 03:12:17 2026  begin with 106683615 relations and 111366807 unique ideals
Mon Apr 20 03:14:06 2026  reduce to 47372520 relations and 43113358 ideals in 20 passes
Mon Apr 20 03:14:06 2026  max relations containing the same ideal: 121
Mon Apr 20 03:14:36 2026  removing 3811947 relations and 3411947 ideals in 400000 cliques
Mon Apr 20 03:14:38 2026  commencing in-memory singleton removal
Mon Apr 20 03:14:41 2026  begin with 43560573 relations and 43113358 unique ideals
Mon Apr 20 03:15:43 2026  reduce to 43257255 relations and 39394151 ideals in 14 passes
Mon Apr 20 03:15:43 2026  max relations containing the same ideal: 113
Mon Apr 20 03:16:11 2026  removing 2824760 relations and 2424760 ideals in 400000 cliques
Mon Apr 20 03:16:12 2026  commencing in-memory singleton removal
Mon Apr 20 03:16:15 2026  begin with 40432495 relations and 39394151 unique ideals
Mon Apr 20 03:16:52 2026  reduce to 40254614 relations and 36789559 ideals in 9 passes
Mon Apr 20 03:16:52 2026  max relations containing the same ideal: 109
Mon Apr 20 03:17:17 2026  removing 2517484 relations and 2117484 ideals in 400000 cliques
Mon Apr 20 03:17:19 2026  commencing in-memory singleton removal
Mon Apr 20 03:17:22 2026  begin with 37737130 relations and 36789559 unique ideals
Mon Apr 20 03:17:52 2026  reduce to 37588436 relations and 34521836 ideals in 8 passes
Mon Apr 20 03:17:52 2026  max relations containing the same ideal: 103
Mon Apr 20 03:18:15 2026  removing 2354471 relations and 1954471 ideals in 400000 cliques
Mon Apr 20 03:18:17 2026  commencing in-memory singleton removal
Mon Apr 20 03:18:19 2026  begin with 35233965 relations and 34521836 unique ideals
Mon Apr 20 03:18:51 2026  reduce to 35098538 relations and 32430493 ideals in 9 passes
Mon Apr 20 03:18:51 2026  max relations containing the same ideal: 98
Mon Apr 20 03:19:13 2026  removing 2253687 relations and 1853687 ideals in 400000 cliques
Mon Apr 20 03:19:14 2026  commencing in-memory singleton removal
Mon Apr 20 03:19:17 2026  begin with 32844851 relations and 32430493 unique ideals
Mon Apr 20 03:19:42 2026  reduce to 32714405 relations and 30444881 ideals in 8 passes
Mon Apr 20 03:19:42 2026  max relations containing the same ideal: 94
Mon Apr 20 03:20:03 2026  removing 2184519 relations and 1784519 ideals in 400000 cliques
Mon Apr 20 03:20:05 2026  commencing in-memory singleton removal
Mon Apr 20 03:20:07 2026  begin with 30529886 relations and 30444881 unique ideals
Mon Apr 20 03:20:31 2026  reduce to 30400332 relations and 28529340 ideals in 8 passes
Mon Apr 20 03:20:31 2026  max relations containing the same ideal: 92
Mon Apr 20 03:20:51 2026  removing 2133400 relations and 1733400 ideals in 400000 cliques
Mon Apr 20 03:20:52 2026  commencing in-memory singleton removal
Mon Apr 20 03:20:54 2026  begin with 28266932 relations and 28529340 unique ideals
Mon Apr 20 03:21:16 2026  reduce to 28133805 relations and 26661226 ideals in 8 passes
Mon Apr 20 03:21:16 2026  max relations containing the same ideal: 86
Mon Apr 20 03:21:34 2026  removing 2103123 relations and 1703123 ideals in 400000 cliques
Mon Apr 20 03:21:35 2026  commencing in-memory singleton removal
Mon Apr 20 03:21:37 2026  begin with 26030682 relations and 26661226 unique ideals
Mon Apr 20 03:21:59 2026  reduce to 25892619 relations and 24818225 ideals in 9 passes
Mon Apr 20 03:21:59 2026  max relations containing the same ideal: 80
Mon Apr 20 03:22:16 2026  removing 2084660 relations and 1684660 ideals in 400000 cliques
Mon Apr 20 03:22:17 2026  commencing in-memory singleton removal
Mon Apr 20 03:22:19 2026  begin with 23807959 relations and 24818225 unique ideals
Mon Apr 20 03:22:29 2026  reduce to 23660018 relations and 22983607 ideals in 9 passes
Mon Apr 20 03:22:29 2026  max relations containing the same ideal: 75
Mon Apr 20 03:22:34 2026  removing 342551 relations and 298440 ideals in 44111 cliques
Mon Apr 20 03:22:34 2026  commencing in-memory singleton removal
Mon Apr 20 03:22:35 2026  begin with 23317467 relations and 22983607 unique ideals
Mon Apr 20 03:22:49 2026  reduce to 23313603 relations and 22681299 ideals in 6 passes
Mon Apr 20 03:22:49 2026  max relations containing the same ideal: 75
Mon Apr 20 03:22:52 2026  relations with 0 large ideals: 39461
Mon Apr 20 03:22:52 2026  relations with 1 large ideals: 9982
Mon Apr 20 03:22:52 2026  relations with 2 large ideals: 129888
Mon Apr 20 03:22:52 2026  relations with 3 large ideals: 814818
Mon Apr 20 03:22:52 2026  relations with 4 large ideals: 2728496
Mon Apr 20 03:22:52 2026  relations with 5 large ideals: 5347515
Mon Apr 20 03:22:52 2026  relations with 6 large ideals: 6343635
Mon Apr 20 03:22:52 2026  relations with 7+ large ideals: 7899808
Mon Apr 20 03:22:52 2026  commencing 2-way merge
Mon Apr 20 03:23:17 2026  reduce to 13919068 relation sets and 13286764 unique ideals
Mon Apr 20 03:23:17 2026  commencing full merge
Mon Apr 20 03:30:40 2026  memory use: 1789.5 MB
Mon Apr 20 03:30:45 2026  found 6535995 cycles, need 6480964
Mon Apr 20 03:30:45 2026  weight of 6480964 cycles is about 616055758 (95.06/cycle)
Mon Apr 20 03:30:45 2026  distribution of cycle lengths:
Mon Apr 20 03:30:45 2026  1 relations: 652963
Mon Apr 20 03:30:45 2026  2 relations: 589262
Mon Apr 20 03:30:45 2026  3 relations: 552613
Mon Apr 20 03:30:45 2026  4 relations: 508622
Mon Apr 20 03:30:45 2026  5 relations: 479801
Mon Apr 20 03:30:45 2026  6 relations: 444348
Mon Apr 20 03:30:45 2026  7 relations: 412262
Mon Apr 20 03:30:45 2026  8 relations: 379888
Mon Apr 20 03:30:45 2026  9 relations: 344384
Mon Apr 20 03:30:45 2026  10+ relations: 2116821
Mon Apr 20 03:30:45 2026  heaviest cycle: 28 relations
Mon Apr 20 03:30:49 2026  commencing cycle optimization
Mon Apr 20 03:31:04 2026  start with 49866079 relations
Mon Apr 20 03:33:54 2026  pruned 1489717 relations
Mon Apr 20 03:33:55 2026  memory use: 1459.0 MB
Mon Apr 20 03:33:55 2026  distribution of cycle lengths:
Mon Apr 20 03:33:55 2026  1 relations: 652963
Mon Apr 20 03:33:55 2026  2 relations: 599614
Mon Apr 20 03:33:55 2026  3 relations: 570333
Mon Apr 20 03:33:55 2026  4 relations: 522424
Mon Apr 20 03:33:55 2026  5 relations: 494826
Mon Apr 20 03:33:55 2026  6 relations: 456505
Mon Apr 20 03:33:55 2026  7 relations: 423542
Mon Apr 20 03:33:55 2026  8 relations: 387218
Mon Apr 20 03:33:55 2026  9 relations: 351781
Mon Apr 20 03:33:55 2026  10+ relations: 2021758
Mon Apr 20 03:33:55 2026  heaviest cycle: 28 relations
Mon Apr 20 03:34:07 2026  RelProcTime: 2648
Mon Apr 20 03:34:07 2026
Mon Apr 20 03:34:07 2026  commencing linear algebra
Mon Apr 20 03:34:09 2026  read 6480964 cycles
Mon Apr 20 03:34:22 2026  cycles contain 22864410 unique relations
Mon Apr 20 03:35:43 2026  read 22864410 relations
Mon Apr 20 03:36:54 2026  using 20 quadratic characters above 4294917295
Mon Apr 20 03:37:41 2026  building initial matrix
Mon Apr 20 03:42:12 2026  memory use: 2744.3 MB
Mon Apr 20 03:42:20 2026  read 6480964 cycles
Mon Apr 20 03:42:20 2026  matrix is 6480785 x 6480964 (2513.6 MB) with weight 717747901 (110.75/col)
Mon Apr 20 03:42:20 2026  sparse part has weight 587638041 (90.67/col)
Mon Apr 20 03:43:52 2026  filtering completed in 2 passes
Mon Apr 20 03:43:52 2026  matrix is 6478609 x 6478785 (2513.4 MB) with weight 717680682 (110.77/col)
Mon Apr 20 03:43:52 2026  sparse part has weight 587615423 (90.70/col)
Mon Apr 20 03:44:13 2026  matrix starts at (0, 0)
Mon Apr 20 03:44:14 2026  matrix is 6478609 x 6478785 (2513.4 MB) with weight 717680682 (110.77/col)
Mon Apr 20 03:44:14 2026  sparse part has weight 587615423 (90.70/col)
Mon Apr 20 03:44:14 2026  saving the first 112 matrix rows for later
Mon Apr 20 03:44:17 2026  matrix includes 128 packed rows
Mon Apr 20 03:44:17 2026  matrix is 6478497 x 6478785 (2334.0 MB) with weight 564639890 (87.15/col)
Mon Apr 20 03:44:17 2026  sparse part has weight 534105988 (82.44/col)
Mon Apr 20 03:44:17 2026  using block size 8192 and superblock size 9437184 for processor cache size 196608 kB
Mon Apr 20 03:44:35 2026  commencing Lanczos iteration (32 threads)
Mon Apr 20 03:44:35 2026  memory use: 2659.2 MB
Mon Apr 20 03:44:35 2026  VBITS = 128
Mon Apr 20 03:44:44 2026  linear algebra at 0.0%, ETA 9h24m
Mon Apr 20 03:44:46 2026  checkpointing every 740000 dimensions
Mon Apr 20 14:20:49 2026  lanczos halted after 50919 iterations (dim = 6478497)
Mon Apr 20 14:21:00 2026  recovered 40 nontrivial dependencies
Mon Apr 20 14:21:01 2026  BLanczosTime: 38814
Mon Apr 20 14:21:01 2026
Mon Apr 20 14:21:01 2026  commencing square root phase
Mon Apr 20 14:21:01 2026  handling dependencies 1 to 64
Mon Apr 20 14:21:01 2026  reading relations for dependency 1
Mon Apr 20 14:21:02 2026  read 3237815 cycles
Mon Apr 20 14:21:09 2026  cycles contain 11433444 unique relations
Mon Apr 20 14:22:16 2026  read 11433444 relations
Mon Apr 20 14:23:09 2026  multiplying 11433444 relations
Mon Apr 20 14:28:08 2026  multiply complete, coefficients have about 276.34 million bits
Mon Apr 20 14:28:10 2026  initial square root is modulo 90907
Mon Apr 20 14:34:11 2026  GCD is 1, no factor found
Mon Apr 20 14:34:11 2026  reading relations for dependency 2
Mon Apr 20 14:34:12 2026  read 3241794 cycles
Mon Apr 20 14:34:20 2026  cycles contain 11439102 unique relations
Mon Apr 20 14:35:26 2026  read 11439102 relations
Mon Apr 20 14:36:20 2026  multiplying 11439102 relations
Mon Apr 20 14:41:18 2026  multiply complete, coefficients have about 276.47 million bits
Mon Apr 20 14:41:19 2026  initial square root is modulo 91397
Mon Apr 20 14:47:20 2026  GCD is N, no factor found
Mon Apr 20 14:47:20 2026  reading relations for dependency 3
Mon Apr 20 14:47:21 2026  read 3239873 cycles
Mon Apr 20 14:47:29 2026  cycles contain 11435996 unique relations
Mon Apr 20 14:48:35 2026  read 11435996 relations
Mon Apr 20 14:49:29 2026  multiplying 11435996 relations
Mon Apr 20 14:54:31 2026  multiply complete, coefficients have about 276.40 million bits
Mon Apr 20 14:54:32 2026  initial square root is modulo 91129
Mon Apr 20 15:00:35 2026  GCD is N, no factor found
Mon Apr 20 15:00:35 2026  reading relations for dependency 4
Mon Apr 20 15:00:36 2026  read 3240254 cycles
Mon Apr 20 15:00:44 2026  cycles contain 11434240 unique relations
Mon Apr 20 15:01:51 2026  read 11434240 relations
Mon Apr 20 15:02:35 2026  multiplying 11434240 relations
Mon Apr 20 15:07:33 2026  multiply complete, coefficients have about 276.35 million bits
Mon Apr 20 15:07:34 2026  initial square root is modulo 90947
Mon Apr 20 15:13:37 2026  GCD is N, no factor found
Mon Apr 20 15:13:37 2026  reading relations for dependency 5
Mon Apr 20 15:13:37 2026  read 3239237 cycles
Mon Apr 20 15:13:45 2026  cycles contain 11430162 unique relations
Mon Apr 20 15:14:51 2026  read 11430162 relations
Mon Apr 20 15:15:45 2026  multiplying 11430162 relations
Mon Apr 20 15:20:43 2026  multiply complete, coefficients have about 276.26 million bits
Mon Apr 20 15:20:44 2026  initial square root is modulo 90583
Mon Apr 20 15:26:44 2026  sqrtTime: 3943
Mon Apr 20 15:26:44 2026  p60 factor: 817669607205576552127257905189159301596027359190487039756119
Mon Apr 20 15:26:44 2026  p137 factor: 29812151234635788665064703465502731571652746771498096507754669052448738068341202259561321535058546177775764324052893469948662444041599171
Mon Apr 20 15:26:44 2026  elapsed time 12:36:46