Tue Nov 18 14:43:43 2025
Tue Nov 18 14:43:43 2025
Tue Nov 18 14:43:43 2025  Msieve v. 1.54 (SVN unknown)
Tue Nov 18 14:43:43 2025  random seeds: ed89366b 15a9bf14
Tue Nov 18 14:43:43 2025  Using 4 OpenMP threads
Tue Nov 18 14:43:43 2025  factoring 321006085712013126862173762137346535107133262890296473425339888852676942983094529773982485689387100065957366486804751151002218655983685881496522078707288051530252159389859339086549436005484341 (192 digits)
Tue Nov 18 14:43:44 2025  no P-1/P+1/ECM available, skipping
Tue Nov 18 14:43:44 2025  commencing number field sieve (192-digit input)
Tue Nov 18 14:43:44 2025  R0: 19371406692461122835582175384854672454175254185237773
Tue Nov 18 14:43:44 2025  R1: -1
Tue Nov 18 14:43:44 2025  A0: 1
Tue Nov 18 14:43:44 2025  A1: 1
Tue Nov 18 14:43:44 2025  A2: 1
Tue Nov 18 14:43:44 2025  A3: 1
Tue Nov 18 14:43:44 2025  A4: 1
Tue Nov 18 14:43:44 2025  skew 1.93, size 2.490e-21, alpha 1.694, combined = 9.826e-13 rroots = 0
Tue Nov 18 14:43:44 2025
Tue Nov 18 14:43:44 2025  commencing relation filtering
Tue Nov 18 14:43:44 2025  estimated available RAM is 32069.1 MB
Tue Nov 18 14:43:44 2025  commencing duplicate removal, pass 1
Tue Nov 18 14:46:12 2025  error -1 reading relation 40469619
Tue Nov 18 14:47:26 2025  error -1 reading relation 62446976
Tue Nov 18 14:47:30 2025  error -1 reading relation 63932390
Tue Nov 18 14:47:40 2025  error -1 reading relation 66895937
Tue Nov 18 14:48:09 2025  error -1 reading relation 75973041
Tue Nov 18 14:48:10 2025  error -1 reading relation 76155543
Tue Nov 18 14:49:18 2025  error -1 reading relation 99766852
Tue Nov 18 14:49:18 2025  error -1 reading relation 99934646
Tue Nov 18 14:49:20 2025  error -5 reading relation 100480134
Tue Nov 18 14:50:15 2025  error -11 reading relation 120410664
Tue Nov 18 14:50:26 2025  error -1 reading relation 124380490
Tue Nov 18 14:50:43 2025  error -11 reading relation 130749450
Tue Nov 18 14:50:43 2025  error -1 reading relation 130845034
Tue Nov 18 14:50:45 2025  error -1 reading relation 131689755
Tue Nov 18 14:50:53 2025  error -1 reading relation 134658261
Tue Nov 18 14:51:06 2025  error -5 reading relation 139292169
Tue Nov 18 14:51:06 2025  error -5 reading relation 139391834
Tue Nov 18 14:51:07 2025  error -1 reading relation 139713120
Tue Nov 18 14:51:38 2025  error -15 reading relation 150849951
Tue Nov 18 14:51:47 2025  error -1 reading relation 154309089
Tue Nov 18 14:52:01 2025  error -1 reading relation 159538421
Tue Nov 18 14:52:02 2025  error -1 reading relation 159848768
Tue Nov 18 14:52:32 2025  error -1 reading relation 171953876
Tue Nov 18 14:52:34 2025  error -1 reading relation 172443856
Tue Nov 18 14:52:34 2025  error -1 reading relation 172531340
Tue Nov 18 14:52:40 2025  error -1 reading relation 174558598
Tue Nov 18 14:52:45 2025  skipped 86 relations with b > 2^32
Tue Nov 18 14:52:45 2025  skipped 1 relations with composite factors
Tue Nov 18 14:52:45 2025  skipped 166 malformed relations
Tue Nov 18 14:52:45 2025  found 34288695 hash collisions in 176733605 relations
Tue Nov 18 14:52:53 2025  added 3657739 free relations
Tue Nov 18 14:52:53 2025  commencing duplicate removal, pass 2
Tue Nov 18 14:54:25 2025  found 36164922 duplicates and 144226422 unique relations
Tue Nov 18 14:54:25 2025  memory use: 852.8 MB
Tue Nov 18 14:54:25 2025  reading ideals above 81985536
Tue Nov 18 14:54:25 2025  commencing singleton removal, initial pass
Tue Nov 18 15:01:52 2025  memory use: 3012.0 MB
Tue Nov 18 15:01:52 2025  reading all ideals from disk
Tue Nov 18 15:01:55 2025  memory use: 3727.9 MB
Tue Nov 18 15:02:16 2025  commencing in-memory singleton removal
Tue Nov 18 15:02:27 2025  begin with 144226422 relations and 110052201 unique ideals
Tue Nov 18 15:03:21 2025  reduce to 100638743 relations and 62839953 ideals in 11 passes
Tue Nov 18 15:03:21 2025  max relations containing the same ideal: 63
Tue Nov 18 15:03:29 2025  reading ideals above 720000
Tue Nov 18 15:03:30 2025  commencing singleton removal, initial pass
Tue Nov 18 15:11:48 2025  memory use: 1506.0 MB
Tue Nov 18 15:11:49 2025  reading all ideals from disk
Tue Nov 18 15:11:54 2025  memory use: 4543.4 MB
Tue Nov 18 15:12:33 2025  keeping 71903437 ideals with weight <= 200, target excess is 493244
Tue Nov 18 15:12:59 2025  commencing in-memory singleton removal
Tue Nov 18 15:13:13 2025  begin with 100638745 relations and 71903437 unique ideals
Tue Nov 18 15:13:35 2025  reduce to 100638526 relations and 71903218 ideals in 3 passes
Tue Nov 18 15:13:35 2025  max relations containing the same ideal: 200
Tue Nov 18 15:14:55 2025  removing 7698138 relations and 5698138 ideals in 2000000 cliques
Tue Nov 18 15:14:59 2025  commencing in-memory singleton removal
Tue Nov 18 15:15:11 2025  begin with 92940388 relations and 71903218 unique ideals
Tue Nov 18 15:15:57 2025  reduce to 92467015 relations and 65719400 ideals in 7 passes
Tue Nov 18 15:15:57 2025  max relations containing the same ideal: 197
Tue Nov 18 15:17:10 2025  removing 6135756 relations and 4135756 ideals in 2000000 cliques
Tue Nov 18 15:17:13 2025  commencing in-memory singleton removal
Tue Nov 18 15:17:25 2025  begin with 86331259 relations and 65719400 unique ideals
Tue Nov 18 15:18:00 2025  reduce to 86011598 relations and 61256706 ideals in 6 passes
Tue Nov 18 15:18:00 2025  max relations containing the same ideal: 191
Tue Nov 18 15:19:09 2025  removing 5721708 relations and 3721708 ideals in 2000000 cliques
Tue Nov 18 15:19:12 2025  commencing in-memory singleton removal
Tue Nov 18 15:19:22 2025  begin with 80289890 relations and 61256706 unique ideals
Tue Nov 18 15:19:55 2025  reduce to 80011101 relations and 57249872 ideals in 6 passes
Tue Nov 18 15:19:55 2025  max relations containing the same ideal: 184
Tue Nov 18 15:20:58 2025  removing 5501587 relations and 3501587 ideals in 2000000 cliques
Tue Nov 18 15:21:01 2025  commencing in-memory singleton removal
Tue Nov 18 15:21:10 2025  begin with 74509514 relations and 57249872 unique ideals
Tue Nov 18 15:21:39 2025  reduce to 74249025 relations and 53481673 ideals in 6 passes
Tue Nov 18 15:21:39 2025  max relations containing the same ideal: 177
Tue Nov 18 15:22:37 2025  removing 5364951 relations and 3364951 ideals in 2000000 cliques
Tue Nov 18 15:22:40 2025  commencing in-memory singleton removal
Tue Nov 18 15:22:48 2025  begin with 68884074 relations and 53481673 unique ideals
Tue Nov 18 15:23:15 2025  reduce to 68627818 relations and 49854157 ideals in 6 passes
Tue Nov 18 15:23:15 2025  max relations containing the same ideal: 169
Tue Nov 18 15:24:08 2025  removing 5273937 relations and 3273937 ideals in 2000000 cliques
Tue Nov 18 15:24:11 2025  commencing in-memory singleton removal
Tue Nov 18 15:24:18 2025  begin with 63353881 relations and 49854157 unique ideals
Tue Nov 18 15:24:42 2025  reduce to 63095078 relations and 46314412 ideals in 6 passes
Tue Nov 18 15:24:42 2025  max relations containing the same ideal: 160
Tue Nov 18 15:25:30 2025  removing 5207318 relations and 3207318 ideals in 2000000 cliques
Tue Nov 18 15:25:33 2025  commencing in-memory singleton removal
Tue Nov 18 15:25:39 2025  begin with 57887760 relations and 46314412 unique ideals
Tue Nov 18 15:26:03 2025  reduce to 57619716 relations and 42831428 ideals in 6 passes
Tue Nov 18 15:26:03 2025  max relations containing the same ideal: 153
Tue Nov 18 15:26:47 2025  removing 5166568 relations and 3166568 ideals in 2000000 cliques
Tue Nov 18 15:26:50 2025  commencing in-memory singleton removal
Tue Nov 18 15:26:55 2025  begin with 52453148 relations and 42831428 unique ideals
Tue Nov 18 15:27:11 2025  reduce to 52167076 relations and 39370033 ideals in 5 passes
Tue Nov 18 15:27:11 2025  max relations containing the same ideal: 147
Tue Nov 18 15:27:50 2025  removing 5146328 relations and 3146328 ideals in 2000000 cliques
Tue Nov 18 15:27:53 2025  commencing in-memory singleton removal
Tue Nov 18 15:27:58 2025  begin with 47020748 relations and 39370033 unique ideals
Tue Nov 18 15:28:14 2025  reduce to 46707599 relations and 35900274 ideals in 6 passes
Tue Nov 18 15:28:14 2025  max relations containing the same ideal: 136
Tue Nov 18 15:28:48 2025  removing 5146567 relations and 3146567 ideals in 2000000 cliques
Tue Nov 18 15:28:51 2025  commencing in-memory singleton removal
Tue Nov 18 15:28:55 2025  begin with 41561032 relations and 35900274 unique ideals
Tue Nov 18 15:29:11 2025  reduce to 41209508 relations and 32389360 ideals in 7 passes
Tue Nov 18 15:29:11 2025  max relations containing the same ideal: 123
Tue Nov 18 15:29:41 2025  removing 5168856 relations and 3168856 ideals in 2000000 cliques
Tue Nov 18 15:29:43 2025  commencing in-memory singleton removal
Tue Nov 18 15:29:47 2025  begin with 36040652 relations and 32389360 unique ideals
Tue Nov 18 15:29:58 2025  reduce to 35634084 relations and 28797287 ideals in 6 passes
Tue Nov 18 15:29:58 2025  max relations containing the same ideal: 111
Tue Nov 18 15:30:26 2025  removing 5213990 relations and 3213990 ideals in 2000000 cliques
Tue Nov 18 15:30:28 2025  commencing in-memory singleton removal
Tue Nov 18 15:30:31 2025  begin with 30420094 relations and 28797287 unique ideals
Tue Nov 18 15:30:43 2025  reduce to 29933877 relations and 25074102 ideals in 8 passes
Tue Nov 18 15:30:43 2025  max relations containing the same ideal: 101
Tue Nov 18 15:31:06 2025  removing 5292414 relations and 3292414 ideals in 2000000 cliques
Tue Nov 18 15:31:08 2025  commencing in-memory singleton removal
Tue Nov 18 15:31:10 2025  begin with 24641463 relations and 25074102 unique ideals
Tue Nov 18 15:31:19 2025  reduce to 24034767 relations and 21141134 ideals in 7 passes
Tue Nov 18 15:31:19 2025  max relations containing the same ideal: 85
Tue Nov 18 15:31:37 2025  removing 5391758 relations and 3391758 ideals in 2000000 cliques
Tue Nov 18 15:31:39 2025  commencing in-memory singleton removal
Tue Nov 18 15:31:41 2025  begin with 18643009 relations and 21141134 unique ideals
Tue Nov 18 15:31:49 2025  reduce to 17842433 relations and 16892015 ideals in 9 passes
Tue Nov 18 15:31:49 2025  max relations containing the same ideal: 69
Tue Nov 18 15:32:02 2025  removing 1449577 relations and 1071323 ideals in 378254 cliques
Tue Nov 18 15:32:03 2025  commencing in-memory singleton removal
Tue Nov 18 15:32:04 2025  begin with 16392856 relations and 16892015 unique ideals
Tue Nov 18 15:32:09 2025  reduce to 16278134 relations and 15703360 ideals in 7 passes
Tue Nov 18 15:32:09 2025  max relations containing the same ideal: 64
Tue Nov 18 15:32:24 2025  relations with 0 large ideals: 38736
Tue Nov 18 15:32:24 2025  relations with 1 large ideals: 8893
Tue Nov 18 15:32:24 2025  relations with 2 large ideals: 105532
Tue Nov 18 15:32:24 2025  relations with 3 large ideals: 632574
Tue Nov 18 15:32:24 2025  relations with 4 large ideals: 2038876
Tue Nov 18 15:32:24 2025  relations with 5 large ideals: 4364246
Tue Nov 18 15:32:24 2025  relations with 6 large ideals: 4273029
Tue Nov 18 15:32:24 2025  relations with 7+ large ideals: 4816248
Tue Nov 18 15:32:24 2025  commencing 2-way merge
Tue Nov 18 15:32:40 2025  reduce to 11066499 relation sets and 10491725 unique ideals
Tue Nov 18 15:32:40 2025  commencing full merge
Tue Nov 18 15:39:06 2025  memory use: 1305.6 MB
Tue Nov 18 15:39:08 2025  found 5379128 cycles, need 5309925
Tue Nov 18 15:39:10 2025  weight of 5309925 cycles is about 477909086 (90.00/cycle)
Tue Nov 18 15:39:10 2025  distribution of cycle lengths:
Tue Nov 18 15:39:10 2025  1 relations: 298546
Tue Nov 18 15:39:10 2025  2 relations: 395084
Tue Nov 18 15:39:10 2025  3 relations: 455020
Tue Nov 18 15:39:10 2025  4 relations: 477399
Tue Nov 18 15:39:10 2025  5 relations: 480604
Tue Nov 18 15:39:10 2025  6 relations: 466735
Tue Nov 18 15:39:10 2025  7 relations: 439452
Tue Nov 18 15:39:10 2025  8 relations: 401335
Tue Nov 18 15:39:10 2025  9 relations: 356488
Tue Nov 18 15:39:10 2025  10+ relations: 1539262
Tue Nov 18 15:39:10 2025  heaviest cycle: 28 relations
Tue Nov 18 15:39:15 2025  commencing cycle optimization
Tue Nov 18 15:39:31 2025  start with 39321046 relations
Tue Nov 18 15:41:36 2025  pruned 1702019 relations
Tue Nov 18 15:41:36 2025  memory use: 1081.4 MB
Tue Nov 18 15:41:36 2025  distribution of cycle lengths:
Tue Nov 18 15:41:36 2025  1 relations: 298546
Tue Nov 18 15:41:36 2025  2 relations: 403710
Tue Nov 18 15:41:36 2025  3 relations: 474594
Tue Nov 18 15:41:36 2025  4 relations: 498010
Tue Nov 18 15:41:36 2025  5 relations: 506627
Tue Nov 18 15:41:36 2025  6 relations: 489307
Tue Nov 18 15:41:36 2025  7 relations: 462368
Tue Nov 18 15:41:36 2025  8 relations: 417688
Tue Nov 18 15:41:36 2025  9 relations: 367882
Tue Nov 18 15:41:36 2025  10+ relations: 1391193
Tue Nov 18 15:41:36 2025  heaviest cycle: 27 relations
Tue Nov 18 15:41:48 2025  RelProcTime: 3484
Tue Nov 18 15:41:51 2025
Tue Nov 18 15:41:51 2025  commencing linear algebra
Tue Nov 18 15:41:51 2025  using VBITS=256
Tue Nov 18 15:41:52 2025  read 5309925 cycles
Tue Nov 18 15:42:06 2025  cycles contain 15975342 unique relations
Tue Nov 18 15:44:28 2025  read 15975342 relations
Tue Nov 18 15:44:42 2025  using 20 quadratic characters above 4294917295
Tue Nov 18 15:45:01 2025  building initial matrix
Tue Nov 18 15:48:38 2025  memory use: 2030.8 MB
Tue Nov 18 15:48:41 2025  read 5309925 cycles
Tue Nov 18 15:48:42 2025  matrix is 5309748 x 5309925 (1950.7 MB) with weight 565613394 (106.52/col)
Tue Nov 18 15:48:42 2025  sparse part has weight 452962971 (85.30/col)
Tue Nov 18 15:50:04 2025  filtering completed in 2 passes
Tue Nov 18 15:50:05 2025  matrix is 5309154 x 5309314 (1950.7 MB) with weight 565592471 (106.53/col)
Tue Nov 18 15:50:05 2025  sparse part has weight 452954624 (85.31/col)
Tue Nov 18 15:50:25 2025  matrix starts at (0, 0)
Tue Nov 18 15:50:26 2025  matrix is 5309154 x 5309314 (1950.7 MB) with weight 565592471 (106.53/col)
Tue Nov 18 15:50:26 2025  sparse part has weight 452954624 (85.31/col)
Tue Nov 18 15:50:26 2025  saving the first 240 matrix rows for later
Tue Nov 18 15:50:27 2025  matrix includes 256 packed rows
Tue Nov 18 15:50:29 2025  matrix is 5308914 x 5309314 (1801.7 MB) with weight 409806242 (77.19/col)
Tue Nov 18 15:50:29 2025  sparse part has weight 387357486 (72.96/col)
Tue Nov 18 15:50:30 2025  using GPU 0 (NVIDIA GeForce RTX 5060 Ti)
Tue Nov 18 15:50:30 2025  selected card has CUDA arch 12.0
Tue Nov 18 15:52:00 2025  commencing Lanczos iteration
Tue Nov 18 15:52:00 2025  memory use: 4292.0 MB
Tue Nov 18 15:52:23 2025  linear algebra at 0.6%, ETA 1h 3m
Tue Nov 18 15:52:55 2025  checking every 80000 dimensions, checkpointing every 5200000 dimensions
Tue Nov 18 16:53:12 2025  lanczos halted after 20801 iterations (dim = 5308914)
Tue Nov 18 16:53:37 2025  recovered 38 nontrivial dependencies
Tue Nov 18 16:53:37 2025  BLanczosTime: 4306
Tue Nov 18 16:53:37 2025
Tue Nov 18 16:53:37 2025  commencing square root phase
Tue Nov 18 16:53:37 2025  reading relations for dependency 1
Tue Nov 18 16:53:38 2025  read 2652987 cycles
Tue Nov 18 16:53:44 2025  cycles contain 7984848 unique relations
Tue Nov 18 16:56:23 2025  read 7984848 relations
Tue Nov 18 16:57:04 2025  multiplying 7984848 relations
Tue Nov 18 16:58:01 2025  multiply complete, coefficients have about 200.54 million bits
Tue Nov 18 16:58:02 2025  initial square root is modulo 15733583
Tue Nov 18 16:59:15 2025  GCD is 1, no factor found
Tue Nov 18 16:59:15 2025  reading relations for dependency 2
Tue Nov 18 16:59:16 2025  read 2652015 cycles
Tue Nov 18 16:59:21 2025  cycles contain 7983546 unique relations
Tue Nov 18 16:59:48 2025  read 7983546 relations
Tue Nov 18 17:00:28 2025  multiplying 7983546 relations
Tue Nov 18 17:01:25 2025  multiply complete, coefficients have about 200.51 million bits
Tue Nov 18 17:01:26 2025  initial square root is modulo 15693017
Tue Nov 18 17:02:39 2025  GCD is 1, no factor found
Tue Nov 18 17:02:39 2025  reading relations for dependency 3
Tue Nov 18 17:02:40 2025  read 2655319 cycles
Tue Nov 18 17:02:45 2025  cycles contain 7988314 unique relations
Tue Nov 18 17:03:08 2025  read 7988314 relations
Tue Nov 18 17:03:48 2025  multiplying 7988314 relations
Tue Nov 18 17:04:45 2025  multiply complete, coefficients have about 200.63 million bits
Tue Nov 18 17:04:45 2025  initial square root is modulo 15846683
Tue Nov 18 17:06:01 2025  sqrtTime: 744
Tue Nov 18 17:06:01 2025  p72 factor: 287536868400375640671704395135348732253013271380765874758331723883556121
Tue Nov 18 17:06:01 2025  p121 factor: 1116399742049892067730329107312981410133207652914652308741339804107318392340436057198395654678354302562114334950430429821
Tue Nov 18 17:06:01 2025  elapsed time 02:22:18