Fri Feb 13 11:28:07 2026
Fri Feb 13 11:28:07 2026
Fri Feb 13 11:28:07 2026  Msieve v. 1.54 (SVN Unversioned directory)
Fri Feb 13 11:28:07 2026  random seeds: c1963f21 5a802548
Fri Feb 13 11:28:07 2026  Using 8 OpenMP threads
Fri Feb 13 11:28:07 2026  factoring 624164788438224209457048338672381965158425316368652395873645862204013638606175716920286074516092912878832510748659344125927837470460118806467056057525040308805261827707172612713395960028621712845977357744425864610427 (216 digits)
Fri Feb 13 11:28:08 2026  searching for 15-digit factors
Fri Feb 13 11:28:08 2026  commencing number field sieve (216-digit input)
Fri Feb 13 11:28:08 2026  R0: 31404921528980107159827042247468593894309639890
Fri Feb 13 11:28:08 2026  R1: -177214337819997248550583
Fri Feb 13 11:28:08 2026  A0: 1
Fri Feb 13 11:28:08 2026  A1: 3
Fri Feb 13 11:28:08 2026  A2: -3
Fri Feb 13 11:28:08 2026  A3: -4
Fri Feb 13 11:28:08 2026  A4: 1
Fri Feb 13 11:28:08 2026  A5: 1
Fri Feb 13 11:28:08 2026  skew 1.48, size 8.063e-16, alpha 2.379, combined = 8.233e-13 rroots = 5
Fri Feb 13 11:28:08 2026
Fri Feb 13 11:28:08 2026  commencing relation filtering
Fri Feb 13 11:28:08 2026  setting target matrix density to 110.0
Fri Feb 13 11:28:08 2026  estimated available RAM is 78540.1 MB
Fri Feb 13 11:28:08 2026  commencing duplicate removal, pass 1
Fri Feb 13 11:29:53 2026  error -1 reading relation 41162319
Fri Feb 13 11:30:43 2026  error -1 reading relation 62802804
Fri Feb 13 11:30:43 2026  error -15 reading relation 63004755
Fri Feb 13 11:31:10 2026  error -1 reading relation 74891954
Fri Feb 13 11:31:20 2026  error -1 reading relation 79167435
Fri Feb 13 11:33:13 2026  error -1 reading relation 128729275
Fri Feb 13 11:33:13 2026  error -1 reading relation 128764974
Fri Feb 13 11:33:16 2026  error -1 reading relation 129964788
Fri Feb 13 11:33:16 2026  error -1 reading relation 129996249
Fri Feb 13 11:33:16 2026  error -1 reading relation 129996250
Fri Feb 13 11:33:22 2026  error -1 reading relation 132499423
Fri Feb 13 11:33:23 2026  skipped 16 relations with b > 2^32
Fri Feb 13 11:33:23 2026  skipped 1 relations with composite factors
Fri Feb 13 11:33:23 2026  skipped 82 malformed relations
Fri Feb 13 11:33:23 2026  found 19508303 hash collisions in 132915764 relations
Fri Feb 13 11:33:27 2026  added 2926300 free relations
Fri Feb 13 11:33:27 2026  commencing duplicate removal, pass 2
Fri Feb 13 11:34:35 2026  found 18527655 duplicates and 117314409 unique relations
Fri Feb 13 11:34:35 2026  memory use: 788.8 MB
Fri Feb 13 11:34:35 2026  reading ideals above 720000
Fri Feb 13 11:34:35 2026  commencing singleton removal, initial pass
Fri Feb 13 11:45:16 2026  memory use: 3012.0 MB
Fri Feb 13 11:45:16 2026  reading all ideals from disk
Fri Feb 13 11:45:25 2026  memory use: 5333.6 MB
Fri Feb 13 11:45:43 2026  keeping 115625189 ideals with weight <= 200, target excess is 602637
Fri Feb 13 11:45:58 2026  commencing in-memory singleton removal
Fri Feb 13 11:46:00 2026  begin with 117314409 relations and 115625189 unique ideals
Fri Feb 13 11:46:21 2026  reduce to 61666393 relations and 52874841 ideals in 15 passes
Fri Feb 13 11:46:21 2026  max relations containing the same ideal: 135
Fri Feb 13 11:46:52 2026  removing 6286895 relations and 5286896 ideals in 1000000 cliques
Fri Feb 13 11:46:54 2026  commencing in-memory singleton removal
Fri Feb 13 11:46:55 2026  begin with 55379498 relations and 52874841 unique ideals
Fri Feb 13 11:47:04 2026  reduce to 54834990 relations and 47031844 ideals in 9 passes
Fri Feb 13 11:47:04 2026  max relations containing the same ideal: 124
Fri Feb 13 11:47:31 2026  removing 4815517 relations and 3815517 ideals in 1000000 cliques
Fri Feb 13 11:47:32 2026  commencing in-memory singleton removal
Fri Feb 13 11:47:33 2026  begin with 50019473 relations and 47031844 unique ideals
Fri Feb 13 11:47:42 2026  reduce to 49657742 relations and 42847659 ideals in 9 passes
Fri Feb 13 11:47:42 2026  max relations containing the same ideal: 118
Fri Feb 13 11:48:05 2026  removing 4385396 relations and 3385396 ideals in 1000000 cliques
Fri Feb 13 11:48:06 2026  commencing in-memory singleton removal
Fri Feb 13 11:48:07 2026  begin with 45272346 relations and 42847659 unique ideals
Fri Feb 13 11:48:13 2026  reduce to 44950828 relations and 39134461 ideals in 9 passes
Fri Feb 13 11:48:13 2026  max relations containing the same ideal: 114
Fri Feb 13 11:48:35 2026  removing 4162453 relations and 3162453 ideals in 1000000 cliques
Fri Feb 13 11:48:37 2026  commencing in-memory singleton removal
Fri Feb 13 11:48:37 2026  begin with 40788375 relations and 39134461 unique ideals
Fri Feb 13 11:48:43 2026  reduce to 40477641 relations and 35654837 ideals in 8 passes
Fri Feb 13 11:48:43 2026  max relations containing the same ideal: 103
Fri Feb 13 11:49:04 2026  removing 4026320 relations and 3026320 ideals in 1000000 cliques
Fri Feb 13 11:49:06 2026  commencing in-memory singleton removal
Fri Feb 13 11:49:06 2026  begin with 36451321 relations and 35654837 unique ideals
Fri Feb 13 11:49:11 2026  reduce to 36136574 relations and 32306652 ideals in 8 passes
Fri Feb 13 11:49:11 2026  max relations containing the same ideal: 95
Fri Feb 13 11:49:29 2026  removing 3936386 relations and 2936386 ideals in 1000000 cliques
Fri Feb 13 11:49:30 2026  commencing in-memory singleton removal
Fri Feb 13 11:49:31 2026  begin with 32200188 relations and 32306652 unique ideals
Fri Feb 13 11:49:34 2026  reduce to 31873647 relations and 29035653 ideals in 9 passes
Fri Feb 13 11:49:34 2026  max relations containing the same ideal: 86
Fri Feb 13 11:49:48 2026  removing 3876192 relations and 2876192 ideals in 1000000 cliques
Fri Feb 13 11:49:49 2026  commencing in-memory singleton removal
Fri Feb 13 11:49:50 2026  begin with 27997455 relations and 29035653 unique ideals
Fri Feb 13 11:49:54 2026  reduce to 27643758 relations and 25796020 ideals in 10 passes
Fri Feb 13 11:49:54 2026  max relations containing the same ideal: 79
Fri Feb 13 11:50:09 2026  removing 3832551 relations and 2832551 ideals in 1000000 cliques
Fri Feb 13 11:50:10 2026  commencing in-memory singleton removal
Fri Feb 13 11:50:10 2026  begin with 23811207 relations and 25796020 unique ideals
Fri Feb 13 11:50:14 2026  reduce to 23417812 relations and 22557792 ideals in 9 passes
Fri Feb 13 11:50:14 2026  max relations containing the same ideal: 69
Fri Feb 13 11:50:26 2026  removing 886265 relations and 725304 ideals in 160961 cliques
Fri Feb 13 11:50:27 2026  commencing in-memory singleton removal
Fri Feb 13 11:50:27 2026  begin with 22531547 relations and 22557792 unique ideals
Fri Feb 13 11:50:29 2026  reduce to 22509912 relations and 21810699 ideals in 6 passes
Fri Feb 13 11:50:29 2026  max relations containing the same ideal: 68
Fri Feb 13 11:50:44 2026  relations with 0 large ideals: 47852
Fri Feb 13 11:50:44 2026  relations with 1 large ideals: 11018
Fri Feb 13 11:50:44 2026  relations with 2 large ideals: 134353
Fri Feb 13 11:50:44 2026  relations with 3 large ideals: 816488
Fri Feb 13 11:50:44 2026  relations with 4 large ideals: 2664694
Fri Feb 13 11:50:44 2026  relations with 5 large ideals: 5116099
Fri Feb 13 11:50:44 2026  relations with 6 large ideals: 6777437
Fri Feb 13 11:50:44 2026  relations with 7+ large ideals: 6941971
Fri Feb 13 11:50:44 2026  commencing 2-way merge
Fri Feb 13 11:50:59 2026  reduce to 14275563 relation sets and 13576350 unique ideals
Fri Feb 13 11:50:59 2026  commencing full merge
Fri Feb 13 11:59:03 2026  memory use: 1852.7 MB
Fri Feb 13 11:59:05 2026  found 6592755 cycles, need 6552550
Fri Feb 13 11:59:08 2026  weight of 6552550 cycles is about 720919014 (110.02/cycle)
Fri Feb 13 11:59:08 2026  distribution of cycle lengths:
Fri Feb 13 11:59:08 2026  1 relations: 353005
Fri Feb 13 11:59:08 2026  2 relations: 442858
Fri Feb 13 11:59:08 2026  3 relations: 483251
Fri Feb 13 11:59:08 2026  4 relations: 482431
Fri Feb 13 11:59:08 2026  5 relations: 478307
Fri Feb 13 11:59:08 2026  6 relations: 462409
Fri Feb 13 11:59:08 2026  7 relations: 444134
Fri Feb 13 11:59:08 2026  8 relations: 422037
Fri Feb 13 11:59:08 2026  9 relations: 395403
Fri Feb 13 11:59:08 2026  10+ relations: 2588715
Fri Feb 13 11:59:08 2026  heaviest cycle: 28 relations
Fri Feb 13 11:59:10 2026  commencing cycle optimization
Fri Feb 13 11:59:28 2026  start with 57555850 relations
Fri Feb 13 12:02:34 2026  pruned 2428340 relations
Fri Feb 13 12:02:35 2026  memory use: 1522.1 MB
Fri Feb 13 12:02:35 2026  distribution of cycle lengths:
Fri Feb 13 12:02:35 2026  1 relations: 353005
Fri Feb 13 12:02:35 2026  2 relations: 451567
Fri Feb 13 12:02:35 2026  3 relations: 501112
Fri Feb 13 12:02:35 2026  4 relations: 499881
Fri Feb 13 12:02:35 2026  5 relations: 499775
Fri Feb 13 12:02:35 2026  6 relations: 482198
Fri Feb 13 12:02:35 2026  7 relations: 465020
Fri Feb 13 12:02:35 2026  8 relations: 440109
Fri Feb 13 12:02:35 2026  9 relations: 411551
Fri Feb 13 12:02:35 2026  10+ relations: 2448332
Fri Feb 13 12:02:35 2026  heaviest cycle: 28 relations
Fri Feb 13 12:02:51 2026  RelProcTime: 2083
Fri Feb 13 12:02:51 2026
Fri Feb 13 12:02:51 2026  commencing linear algebra
Fri Feb 13 12:02:51 2026  using VBITS=256
Fri Feb 13 12:02:51 2026  read 6552550 cycles
Fri Feb 13 12:03:04 2026  cycles contain 22116378 unique relations
Fri Feb 13 12:03:40 2026  read 22116378 relations
Fri Feb 13 12:03:49 2026  using 20 quadratic characters above 4294917295
Fri Feb 13 12:04:01 2026  building initial matrix
Fri Feb 13 12:09:06 2026  memory use: 2719.4 MB
Fri Feb 13 12:09:09 2026  read 6552550 cycles
Fri Feb 13 12:09:10 2026  matrix is 6552373 x 6552550 (2864.7 MB) with weight 817490727 (124.76/col)
Fri Feb 13 12:09:10 2026  sparse part has weight 678895660 (103.61/col)
Fri Feb 13 12:10:18 2026  filtering completed in 2 passes
Fri Feb 13 12:10:20 2026  matrix is 6552083 x 6552245 (2864.7 MB) with weight 817480999 (124.76/col)
Fri Feb 13 12:10:20 2026  sparse part has weight 678892237 (103.61/col)
Fri Feb 13 12:10:37 2026  matrix starts at (0, 0)
Fri Feb 13 12:10:38 2026  matrix is 6552083 x 6552245 (2864.7 MB) with weight 817480999 (124.76/col)
Fri Feb 13 12:10:38 2026  sparse part has weight 678892237 (103.61/col)
Fri Feb 13 12:10:38 2026  saving the first 240 matrix rows for later
Fri Feb 13 12:10:39 2026  matrix includes 256 packed rows
Fri Feb 13 12:10:41 2026  matrix is 6551843 x 6552245 (2628.9 MB) with weight 617257576 (94.21/col)
Fri Feb 13 12:10:41 2026  sparse part has weight 584310056 (89.18/col)
Fri Feb 13 12:10:41 2026  using GPU 0 (NVIDIA GeForce RTX 5070)
Fri Feb 13 12:10:41 2026  selected card has CUDA arch 12.0
Fri Feb 13 12:12:00 2026  commencing Lanczos iteration
Fri Feb 13 12:12:01 2026  memory use: 6107.6 MB
Fri Feb 13 12:12:20 2026  linear algebra at 0.5%, ETA 1h 3m
Fri Feb 13 12:12:48 2026  checking every 100000 dimensions, checkpointing every 6100000 dimensions
Fri Feb 13 13:17:39 2026  lanczos halted after 25671 iterations (dim = 6551841)
Fri Feb 13 13:18:07 2026  recovered 34 nontrivial dependencies
Fri Feb 13 13:18:09 2026  BLanczosTime: 4518
Fri Feb 13 13:18:09 2026
Fri Feb 13 13:18:09 2026  commencing square root phase
Fri Feb 13 13:18:09 2026  handling dependencies 1 to 64
Fri Feb 13 13:18:09 2026  reading relations for dependency 1
Fri Feb 13 13:18:29 2026  read 3277260 cycles
Fri Feb 13 13:18:36 2026  cycles contain 11060880 unique relations
Fri Feb 13 13:20:55 2026  read 11060880 relations
Fri Feb 13 13:21:53 2026  multiplying 11060880 relations
Fri Feb 13 13:22:37 2026  multiply complete, coefficients have about 273.56 million bits
Fri Feb 13 13:22:38 2026  initial square root is modulo 81031
Fri Feb 13 13:24:21 2026  GCD is 1, no factor found
Fri Feb 13 13:24:21 2026  reading relations for dependency 2
Fri Feb 13 13:24:23 2026  read 3276376 cycles
Fri Feb 13 13:24:29 2026  cycles contain 11053740 unique relations
Fri Feb 13 13:24:52 2026  read 11053740 relations
Fri Feb 13 13:25:39 2026  multiplying 11053740 relations
Fri Feb 13 13:26:20 2026  multiply complete, coefficients have about 273.38 million bits
Fri Feb 13 13:26:21 2026  initial square root is modulo 80429
Fri Feb 13 13:28:06 2026  GCD is N, no factor found
Fri Feb 13 13:28:06 2026  reading relations for dependency 3
Fri Feb 13 13:28:07 2026  read 3276877 cycles
Fri Feb 13 13:28:15 2026  cycles contain 11060070 unique relations
Fri Feb 13 13:28:38 2026  read 11060070 relations
Fri Feb 13 13:29:24 2026  multiplying 11060070 relations
Fri Feb 13 13:30:07 2026  multiply complete, coefficients have about 273.54 million bits
Fri Feb 13 13:30:07 2026  initial square root is modulo 80963
Fri Feb 13 13:31:51 2026  sqrtTime: 822
Fri Feb 13 13:31:51 2026  p62 factor: 14712267958954346972953135617960347041174460101798770316986751
Fri Feb 13 13:31:51 2026  p155 factor: 42424783872858839170810764533846471310225949868810234768784826823331382444956944610370200628291960226743927206227369193221025428937747600764616830699580677
Fri Feb 13 13:31:51 2026  elapsed time 02:03:44