Thu Jan 29 08:54:56 2026
Thu Jan 29 08:54:56 2026
Thu Jan 29 08:54:56 2026  Msieve v. 1.54 (SVN Unversioned directory)
Thu Jan 29 08:54:56 2026  random seeds: a2af701e fc0ccd8d
Thu Jan 29 08:54:56 2026  Using 8 OpenMP threads
Thu Jan 29 08:54:56 2026  factoring 429910600378467821035409018352673946723326946316047278410242897523414471312820328090173236123195525077853280924927516811544120406201816236339488428812210684317 (159 digits)
Thu Jan 29 08:54:56 2026  searching for 15-digit factors
Thu Jan 29 08:54:56 2026  commencing number field sieve (159-digit input)
Thu Jan 29 08:54:56 2026  R0: -6888426846888586915027630721449
Thu Jan 29 08:54:56 2026  R1: 124318109839716941723
Thu Jan 29 08:54:56 2026  A0: -93988113316156342331100698718022448784
Thu Jan 29 08:54:56 2026  A1: 144811652624098962981493377973504
Thu Jan 29 08:54:56 2026  A2: -28771962400785254032991494
Thu Jan 29 08:54:56 2026  A3: -15912617171605085461
Thu Jan 29 08:54:56 2026  A4: -270716753520
Thu Jan 29 08:54:56 2026  A5: 138600
Thu Jan 29 08:54:56 2026  skew 1.00, size 2.556e-15, alpha -7.406, combined = 1.260e-14 rroots = 5
Thu Jan 29 08:54:56 2026
Thu Jan 29 08:54:56 2026  commencing relation filtering
Thu Jan 29 08:54:56 2026  estimated available RAM is 78540.1 MB
Thu Jan 29 08:54:56 2026  commencing duplicate removal, pass 1
Thu Jan 29 08:56:27 2026  error -1 reading relation 50162392
Thu Jan 29 08:56:29 2026  error -1 reading relation 51233035
Thu Jan 29 08:56:31 2026  error -1 reading relation 51879634
Thu Jan 29 08:56:33 2026  error -1 reading relation 53101244
Thu Jan 29 08:56:49 2026  error -1 reading relation 61831247
Thu Jan 29 08:56:58 2026  error -1 reading relation 66546602
Thu Jan 29 08:57:05 2026  error -15 reading relation 70061517
Thu Jan 29 08:57:07 2026  error -1 reading relation 70596331
Thu Jan 29 08:57:08 2026  error -1 reading relation 71163070
Thu Jan 29 08:57:11 2026  error -1 reading relation 72746806
Thu Jan 29 08:57:20 2026  error -1 reading relation 77599741
Thu Jan 29 08:57:35 2026  skipped 60 malformed relations
Thu Jan 29 08:57:35 2026  found 12674049 hash collisions in 84710306 relations
Thu Jan 29 08:57:49 2026  added 121596 free relations
Thu Jan 29 08:57:49 2026  commencing duplicate removal, pass 2
Thu Jan 29 08:58:19 2026  found 11600838 duplicates and 73231064 unique relations
Thu Jan 29 08:58:19 2026  memory use: 426.4 MB
Thu Jan 29 08:58:19 2026  reading ideals above 720000
Thu Jan 29 08:58:20 2026  commencing singleton removal, initial pass
Thu Jan 29 09:03:04 2026  memory use: 1506.0 MB
Thu Jan 29 09:03:04 2026  reading all ideals from disk
Thu Jan 29 09:03:06 2026  memory use: 3230.0 MB
Thu Jan 29 09:03:11 2026  keeping 78109991 ideals with weight <= 200, target excess is 383943
Thu Jan 29 09:03:18 2026  commencing in-memory singleton removal
Thu Jan 29 09:03:19 2026  begin with 73231064 relations and 78109991 unique ideals
Thu Jan 29 09:03:33 2026  reduce to 30502141 relations and 28733687 ideals in 20 passes
Thu Jan 29 09:03:33 2026  max relations containing the same ideal: 117
Thu Jan 29 09:03:47 2026  removing 3658975 relations and 3258975 ideals in 400000 cliques
Thu Jan 29 09:03:48 2026  commencing in-memory singleton removal
Thu Jan 29 09:03:49 2026  begin with 26843166 relations and 28733687 unique ideals
Thu Jan 29 09:03:54 2026  reduce to 26483561 relations and 25108610 ideals in 11 passes
Thu Jan 29 09:03:54 2026  max relations containing the same ideal: 107
Thu Jan 29 09:04:06 2026  removing 2721712 relations and 2321712 ideals in 400000 cliques
Thu Jan 29 09:04:06 2026  commencing in-memory singleton removal
Thu Jan 29 09:04:07 2026  begin with 23761849 relations and 25108610 unique ideals
Thu Jan 29 09:04:10 2026  reduce to 23528035 relations and 22549346 ideals in 9 passes
Thu Jan 29 09:04:10 2026  max relations containing the same ideal: 97
Thu Jan 29 09:04:20 2026  removing 2428841 relations and 2028841 ideals in 400000 cliques
Thu Jan 29 09:04:21 2026  commencing in-memory singleton removal
Thu Jan 29 09:04:21 2026  begin with 21099194 relations and 22549346 unique ideals
Thu Jan 29 09:04:24 2026  reduce to 20889846 relations and 20307769 ideals in 9 passes
Thu Jan 29 09:04:24 2026  max relations containing the same ideal: 88
Thu Jan 29 09:04:34 2026  removing 975911 relations and 839208 ideals in 136703 cliques
Thu Jan 29 09:04:34 2026  commencing in-memory singleton removal
Thu Jan 29 09:04:34 2026  begin with 19913935 relations and 20307769 unique ideals
Thu Jan 29 09:04:36 2026  reduce to 19879022 relations and 19433438 ideals in 7 passes
Thu Jan 29 09:04:36 2026  max relations containing the same ideal: 86
Thu Jan 29 09:04:48 2026  relations with 0 large ideals: 1246
Thu Jan 29 09:04:48 2026  relations with 1 large ideals: 5035
Thu Jan 29 09:04:48 2026  relations with 2 large ideals: 76140
Thu Jan 29 09:04:48 2026  relations with 3 large ideals: 527882
Thu Jan 29 09:04:48 2026  relations with 4 large ideals: 1964710
Thu Jan 29 09:04:48 2026  relations with 5 large ideals: 4266357
Thu Jan 29 09:04:48 2026  relations with 6 large ideals: 5634093
Thu Jan 29 09:04:48 2026  relations with 7+ large ideals: 7403559
Thu Jan 29 09:04:48 2026  commencing 2-way merge
Thu Jan 29 09:05:01 2026  reduce to 11634127 relation sets and 11188543 unique ideals
Thu Jan 29 09:05:01 2026  commencing full merge
Thu Jan 29 09:09:23 2026  memory use: 1365.5 MB
Thu Jan 29 09:09:25 2026  found 5639274 cycles, need 5586743
Thu Jan 29 09:09:27 2026  weight of 5586743 cycles is about 502898042 (90.02/cycle)
Thu Jan 29 09:09:27 2026  distribution of cycle lengths:
Thu Jan 29 09:09:27 2026  1 relations: 643720
Thu Jan 29 09:09:27 2026  2 relations: 571026
Thu Jan 29 09:09:27 2026  3 relations: 552718
Thu Jan 29 09:09:27 2026  4 relations: 505754
Thu Jan 29 09:09:27 2026  5 relations: 463846
Thu Jan 29 09:09:27 2026  6 relations: 420323
Thu Jan 29 09:09:27 2026  7 relations: 372297
Thu Jan 29 09:09:27 2026  8 relations: 327387
Thu Jan 29 09:09:27 2026  9 relations: 292532
Thu Jan 29 09:09:27 2026  10+ relations: 1437140
Thu Jan 29 09:09:27 2026  heaviest cycle: 25 relations
Thu Jan 29 09:09:29 2026  commencing cycle optimization
Thu Jan 29 09:09:41 2026  start with 37528914 relations
Thu Jan 29 09:10:57 2026  pruned 1000024 relations
Thu Jan 29 09:10:58 2026  memory use: 1188.7 MB
Thu Jan 29 09:10:58 2026  distribution of cycle lengths:
Thu Jan 29 09:10:58 2026  1 relations: 643720
Thu Jan 29 09:10:58 2026  2 relations: 584543
Thu Jan 29 09:10:58 2026  3 relations: 572655
Thu Jan 29 09:10:58 2026  4 relations: 518634
Thu Jan 29 09:10:58 2026  5 relations: 476070
Thu Jan 29 09:10:58 2026  6 relations: 427808
Thu Jan 29 09:10:58 2026  7 relations: 377985
Thu Jan 29 09:10:58 2026  8 relations: 330341
Thu Jan 29 09:10:58 2026  9 relations: 294192
Thu Jan 29 09:10:58 2026  10+ relations: 1360795
Thu Jan 29 09:10:58 2026  heaviest cycle: 24 relations
Thu Jan 29 09:11:06 2026  RelProcTime: 970
Thu Jan 29 09:11:07 2026
Thu Jan 29 09:11:07 2026  commencing linear algebra
Thu Jan 29 09:11:07 2026  using VBITS=256
Thu Jan 29 09:11:07 2026  read 5586743 cycles
Thu Jan 29 09:11:13 2026  cycles contain 19509526 unique relations
Thu Jan 29 09:11:45 2026  read 19509526 relations
Thu Jan 29 09:11:51 2026  using 20 quadratic characters above 4294917295
Thu Jan 29 09:12:03 2026  building initial matrix
Thu Jan 29 09:15:45 2026  memory use: 2659.0 MB
Thu Jan 29 09:15:48 2026  read 5586743 cycles
Thu Jan 29 09:15:48 2026  matrix is 5586563 x 5586743 (2084.7 MB) with weight 647462856 (115.89/col)
Thu Jan 29 09:15:48 2026  sparse part has weight 479442226 (85.82/col)
Thu Jan 29 09:16:42 2026  filtering completed in 2 passes
Thu Jan 29 09:16:43 2026  matrix is 5583606 x 5583783 (2084.4 MB) with weight 647330082 (115.93/col)
Thu Jan 29 09:16:43 2026  sparse part has weight 479405497 (85.86/col)
Thu Jan 29 09:16:55 2026  matrix starts at (0, 0)
Thu Jan 29 09:16:55 2026  matrix is 5583606 x 5583783 (2084.4 MB) with weight 647330082 (115.93/col)
Thu Jan 29 09:16:55 2026  sparse part has weight 479405497 (85.86/col)
Thu Jan 29 09:16:55 2026  saving the first 240 matrix rows for later
Thu Jan 29 09:16:56 2026  matrix includes 256 packed rows
Thu Jan 29 09:16:58 2026  matrix is 5583366 x 5583783 (1885.4 MB) with weight 434842353 (77.88/col)
Thu Jan 29 09:16:58 2026  sparse part has weight 404892719 (72.51/col)
Thu Jan 29 09:16:58 2026  using GPU 0 (NVIDIA GeForce RTX 5070)
Thu Jan 29 09:16:58 2026  selected card has CUDA arch 12.0
Thu Jan 29 09:17:26 2026  commencing Lanczos iteration
Thu Jan 29 09:17:28 2026  memory use: 4494.9 MB
Thu Jan 29 09:17:42 2026  linear algebra at 0.5%, ETA 0h42m
Thu Jan 29 09:18:03 2026  checking every 130000 dimensions, checkpointing every 7930000 dimensions
Thu Jan 29 09:56:19 2026  lanczos halted after 21876 iterations (dim = 5583364)
Thu Jan 29 09:56:40 2026  recovered 30 nontrivial dependencies
Thu Jan 29 09:56:40 2026  BLanczosTime: 2733
Thu Jan 29 09:56:40 2026
Thu Jan 29 09:56:40 2026  commencing square root phase
Thu Jan 29 09:56:40 2026  reading relations for dependency 1
Thu Jan 29 09:56:41 2026  read 2790733 cycles
Thu Jan 29 09:56:45 2026  cycles contain 9753058 unique relations
Thu Jan 29 09:57:14 2026  read 9753058 relations
Thu Jan 29 09:57:49 2026  multiplying 9753058 relations
Thu Jan 29 09:58:50 2026  multiply complete, coefficients have about 515.70 million bits
Thu Jan 29 09:58:51 2026  initial square root is modulo 1791421153
Thu Jan 29 10:01:08 2026  found factor: 52080877613886730597787745910593826968182833648333
Thu Jan 29 10:01:08 2026  reading relations for dependency 2
Thu Jan 29 10:01:08 2026  read 2790824 cycles
Thu Jan 29 10:01:13 2026  cycles contain 9755490 unique relations
Thu Jan 29 10:01:29 2026  read 9755490 relations
Thu Jan 29 10:02:08 2026  multiplying 9755490 relations
Thu Jan 29 10:03:20 2026  multiply complete, coefficients have about 515.82 million bits
Thu Jan 29 10:03:21 2026  initial square root is modulo 1800962159
Thu Jan 29 10:06:30 2026  found factor: 52080877613886730597787745910593826968182833648333
Thu Jan 29 10:06:30 2026  reading relations for dependency 3
Thu Jan 29 10:06:32 2026  read 2791629 cycles
Thu Jan 29 10:06:37 2026  cycles contain 9751142 unique relations
Thu Jan 29 10:06:54 2026  read 9751142 relations
Thu Jan 29 10:07:32 2026  multiplying 9751142 relations
Thu Jan 29 10:08:47 2026  multiply complete, coefficients have about 515.60 million bits
Thu Jan 29 10:08:49 2026  initial square root is modulo 1784233907
Thu Jan 29 10:11:54 2026  found factor: 52080877613886730597787745910593826968182833648333
Thu Jan 29 10:11:54 2026  reading relations for dependency 4
Thu Jan 29 10:11:55 2026  read 2793280 cycles
Thu Jan 29 10:12:00 2026  cycles contain 9755958 unique relations
Thu Jan 29 10:12:17 2026  read 9755958 relations
Thu Jan 29 10:13:09 2026  multiplying 9755958 relations
Thu Jan 29 10:14:47 2026  multiply complete, coefficients have about 515.85 million bits
Thu Jan 29 10:14:50 2026  initial square root is modulo 1803196657
Thu Jan 29 10:19:14 2026  sqrtTime: 1354
Thu Jan 29 10:19:14 2026  p50 factor: 52080877613886730597787745910593826968182833648333
Thu Jan 29 10:19:14 2026  p53 factor: 15242077697361481316617164516947340354130204524277381
Thu Jan 29 10:19:14 2026  p57 factor: 541571359065725324569230649555349907318783310148254368029
Thu Jan 29 10:19:14 2026  elapsed time 01:24:18