Sun Jan 18 22:55:53 2026
Sun Jan 18 22:55:53 2026
Sun Jan 18 22:55:53 2026  Msieve v. 1.54 (SVN Unversioned directory)
Sun Jan 18 22:55:53 2026  random seeds: 5a59ced4 ac9a1149
Sun Jan 18 22:55:53 2026  Using 8 OpenMP threads
Sun Jan 18 22:55:53 2026  factoring 137973452411512905225715028872842340700495353531319598807627665505695007859815588606441071501975686862323759227750163340096369032683682223158799562695062860885076425622914178004350490289536143777 (195 digits)
Sun Jan 18 22:55:53 2026  searching for 15-digit factors
Sun Jan 18 22:55:53 2026  commencing number field sieve (195-digit input)
Sun Jan 18 22:55:53 2026  R0: 556140314739669997433102162
Sun Jan 18 22:55:53 2026  R1: -23582627392631
Sun Jan 18 22:55:53 2026  A0: 1
Sun Jan 18 22:55:53 2026  A1: -4
Sun Jan 18 22:55:53 2026  A2: -10
Sun Jan 18 22:55:53 2026  A3: 10
Sun Jan 18 22:55:53 2026  A4: 15
Sun Jan 18 22:55:53 2026  A5: -6
Sun Jan 18 22:55:53 2026  A6: -7
Sun Jan 18 22:55:53 2026  A7: 1
Sun Jan 18 22:55:53 2026  A8: 1
Sun Jan 18 22:55:53 2026  skew 1.27, size 3.014e-06, alpha 3.205, combined = 1.077e-13 rroots = 8
Sun Jan 18 22:55:53 2026
Sun Jan 18 22:55:53 2026  commencing relation filtering
Sun Jan 18 22:55:53 2026  estimated available RAM is 78540.1 MB
Sun Jan 18 22:55:53 2026  commencing duplicate removal, pass 1
Sun Jan 18 22:56:23 2026  error -1 reading relation 17912474
Sun Jan 18 22:56:26 2026  error -1 reading relation 20278922
Sun Jan 18 22:56:51 2026  error -1 reading relation 39443280
Sun Jan 18 22:57:17 2026  error -1 reading relation 57848363
Sun Jan 18 22:57:25 2026  error -1 reading relation 62702380
Sun Jan 18 22:57:43 2026  error -1 reading relation 74149266
Sun Jan 18 22:59:26 2026  error -1 reading relation 143810967
Sun Jan 18 22:59:27 2026  error -1 reading relation 144586130
Sun Jan 18 22:59:30 2026  error -1 reading relation 146064031
Sun Jan 18 23:00:04 2026  error -1 reading relation 168805108
Sun Jan 18 23:00:42 2026  error -1 reading relation 192843732
Sun Jan 18 23:01:05 2026  error -1 reading relation 207408797
Sun Jan 18 23:01:08 2026  error -1 reading relation 209098932
Sun Jan 18 23:01:18 2026  error -1 reading relation 216527287
Sun Jan 18 23:01:57 2026  error -1 reading relation 242772428
Sun Jan 18 23:02:32 2026  error -1 reading relation 264443347
Sun Jan 18 23:03:07 2026  error -1 reading relation 286290648
Sun Jan 18 23:03:12 2026  error -5 reading relation 290528568
Sun Jan 18 23:03:14 2026  error -1 reading relation 291684438
Sun Jan 18 23:03:48 2026  error -15 reading relation 312500680
Sun Jan 18 23:04:31 2026  error -15 reading relation 339773870
Sun Jan 18 23:04:33 2026  error -1 reading relation 340871536
Sun Jan 18 23:04:47 2026  error -1 reading relation 350533008
Sun Jan 18 23:04:53 2026  error -15 reading relation 353742672
Sun Jan 18 23:04:54 2026  error -1 reading relation 354169352
Sun Jan 18 23:04:54 2026  error -1 reading relation 354199009
Sun Jan 18 23:04:55 2026  error -1 reading relation 354499194
Sun Jan 18 23:05:04 2026  error -1 reading relation 359718620
Sun Jan 18 23:05:20 2026  error -1 reading relation 370683091
Sun Jan 18 23:05:35 2026  error -1 reading relation 379605144
Sun Jan 18 23:05:46 2026  error -1 reading relation 387217245
Sun Jan 18 23:05:46 2026  error -1 reading relation 387354874
Sun Jan 18 23:05:54 2026  error -1 reading relation 392194365
Sun Jan 18 23:06:01 2026  error -1 reading relation 395908980
Sun Jan 18 23:06:12 2026  error -1 reading relation 403490055
Sun Jan 18 23:06:14 2026  skipped 112 relations with b > 2^32
Sun Jan 18 23:06:14 2026  skipped 9 relations with composite factors
Sun Jan 18 23:06:14 2026  skipped 410 malformed relations
Sun Jan 18 23:06:14 2026  found 89836389 hash collisions in 404495535 relations
Sun Jan 18 23:06:18 2026  added 1828991 free relations
Sun Jan 18 23:06:18 2026  commencing duplicate removal, pass 2
Sun Jan 18 23:10:19 2026  found 96647412 duplicates and 309677114 unique relations
Sun Jan 18 23:10:19 2026  memory use: 2643.0 MB
Sun Jan 18 23:10:19 2026  reading ideals above 171769856
Sun Jan 18 23:10:19 2026  commencing singleton removal, initial pass
Sun Jan 18 23:22:59 2026  memory use: 6024.0 MB
Sun Jan 18 23:22:59 2026  reading all ideals from disk
Sun Jan 18 23:23:05 2026  memory use: 7849.4 MB
Sun Jan 18 23:23:15 2026  commencing in-memory singleton removal
Sun Jan 18 23:23:18 2026  begin with 309677114 relations and 271913503 unique ideals
Sun Jan 18 23:23:41 2026  reduce to 170610845 relations and 117663973 ideals in 15 passes
Sun Jan 18 23:23:41 2026  max relations containing the same ideal: 31
Sun Jan 18 23:23:45 2026  reading ideals above 720000
Sun Jan 18 23:23:45 2026  commencing singleton removal, initial pass
Sun Jan 18 23:37:32 2026  memory use: 3012.0 MB
Sun Jan 18 23:37:32 2026  reading all ideals from disk
Sun Jan 18 23:37:54 2026  memory use: 8119.4 MB
Sun Jan 18 23:38:11 2026  keeping 135967550 ideals with weight <= 200, target excess is 886280
Sun Jan 18 23:38:29 2026  commencing in-memory singleton removal
Sun Jan 18 23:38:32 2026  begin with 170610845 relations and 135967550 unique ideals
Sun Jan 18 23:38:49 2026  reduce to 170597923 relations and 135954627 ideals in 8 passes
Sun Jan 18 23:38:49 2026  max relations containing the same ideal: 200
Sun Jan 18 23:40:08 2026  removing 11213127 relations and 9213127 ideals in 2000000 cliques
Sun Jan 18 23:40:13 2026  commencing in-memory singleton removal
Sun Jan 18 23:40:14 2026  begin with 159384796 relations and 135954627 unique ideals
Sun Jan 18 23:40:36 2026  reduce to 158840820 relations and 126189134 ideals in 8 passes
Sun Jan 18 23:40:36 2026  max relations containing the same ideal: 198
Sun Jan 18 23:41:48 2026  removing 8626269 relations and 6626269 ideals in 2000000 cliques
Sun Jan 18 23:41:52 2026  commencing in-memory singleton removal
Sun Jan 18 23:41:54 2026  begin with 150214551 relations and 126189134 unique ideals
Sun Jan 18 23:42:11 2026  reduce to 149844818 relations and 119188359 ideals in 7 passes
Sun Jan 18 23:42:11 2026  max relations containing the same ideal: 192
Sun Jan 18 23:43:14 2026  removing 7839988 relations and 5839988 ideals in 2000000 cliques
Sun Jan 18 23:43:18 2026  commencing in-memory singleton removal
Sun Jan 18 23:43:21 2026  begin with 142004830 relations and 119188359 unique ideals
Sun Jan 18 23:43:36 2026  reduce to 141681911 relations and 113021019 ideals in 7 passes
Sun Jan 18 23:43:36 2026  max relations containing the same ideal: 185
Sun Jan 18 23:44:36 2026  removing 7431628 relations and 5431628 ideals in 2000000 cliques
Sun Jan 18 23:44:40 2026  commencing in-memory singleton removal
Sun Jan 18 23:44:42 2026  begin with 134250283 relations and 113021019 unique ideals
Sun Jan 18 23:44:54 2026  reduce to 133944541 relations and 107279579 ideals in 7 passes
Sun Jan 18 23:44:54 2026  max relations containing the same ideal: 180
Sun Jan 18 23:45:55 2026  removing 7168300 relations and 5168300 ideals in 2000000 cliques
Sun Jan 18 23:45:58 2026  commencing in-memory singleton removal
Sun Jan 18 23:46:01 2026  begin with 126776241 relations and 107279579 unique ideals
Sun Jan 18 23:46:12 2026  reduce to 126478886 relations and 101809754 ideals in 7 passes
Sun Jan 18 23:46:12 2026  max relations containing the same ideal: 176
Sun Jan 18 23:47:11 2026  removing 6990735 relations and 4990735 ideals in 2000000 cliques
Sun Jan 18 23:47:12 2026  commencing in-memory singleton removal
Sun Jan 18 23:47:14 2026  begin with 119488151 relations and 101809754 unique ideals
Sun Jan 18 23:47:27 2026  reduce to 119192863 relations and 96519318 ideals in 7 passes
Sun Jan 18 23:47:27 2026  max relations containing the same ideal: 168
Sun Jan 18 23:48:23 2026  removing 6866219 relations and 4866219 ideals in 2000000 cliques
Sun Jan 18 23:48:28 2026  commencing in-memory singleton removal
Sun Jan 18 23:48:32 2026  begin with 112326644 relations and 96519318 unique ideals
Sun Jan 18 23:48:42 2026  reduce to 112028724 relations and 91350675 ideals in 7 passes
Sun Jan 18 23:48:42 2026  max relations containing the same ideal: 162
Sun Jan 18 23:49:31 2026  removing 6779279 relations and 4779279 ideals in 2000000 cliques
Sun Jan 18 23:49:34 2026  commencing in-memory singleton removal
Sun Jan 18 23:49:36 2026  begin with 105249445 relations and 91350675 unique ideals
Sun Jan 18 23:49:45 2026  reduce to 104942680 relations and 86259552 ideals in 7 passes
Sun Jan 18 23:49:45 2026  max relations containing the same ideal: 156
Sun Jan 18 23:50:40 2026  removing 6716956 relations and 4716956 ideals in 2000000 cliques
Sun Jan 18 23:50:43 2026  commencing in-memory singleton removal
Sun Jan 18 23:50:45 2026  begin with 98225724 relations and 86259552 unique ideals
Sun Jan 18 23:50:56 2026  reduce to 97907403 relations and 81218820 ideals in 7 passes
Sun Jan 18 23:50:56 2026  max relations containing the same ideal: 150
Sun Jan 18 23:51:39 2026  removing 6683183 relations and 4683183 ideals in 2000000 cliques
Sun Jan 18 23:51:42 2026  commencing in-memory singleton removal
Sun Jan 18 23:51:44 2026  begin with 91224220 relations and 81218820 unique ideals
Sun Jan 18 23:51:53 2026  reduce to 90887258 relations and 76192636 ideals in 7 passes
Sun Jan 18 23:51:53 2026  max relations containing the same ideal: 141
Sun Jan 18 23:52:32 2026  removing 6672549 relations and 4672549 ideals in 2000000 cliques
Sun Jan 18 23:52:35 2026  commencing in-memory singleton removal
Sun Jan 18 23:52:36 2026  begin with 84214709 relations and 76192636 unique ideals
Sun Jan 18 23:52:42 2026  reduce to 83855623 relations and 71154044 ideals in 7 passes
Sun Jan 18 23:52:42 2026  max relations containing the same ideal: 133
Sun Jan 18 23:53:21 2026  removing 6678041 relations and 4678041 ideals in 2000000 cliques
Sun Jan 18 23:53:23 2026  commencing in-memory singleton removal
Sun Jan 18 23:53:25 2026  begin with 77177582 relations and 71154044 unique ideals
Sun Jan 18 23:53:33 2026  reduce to 76787190 relations and 66077510 ideals in 7 passes
Sun Jan 18 23:53:33 2026  max relations containing the same ideal: 123
Sun Jan 18 23:54:08 2026  removing 6710646 relations and 4710646 ideals in 2000000 cliques
Sun Jan 18 23:54:08 2026  commencing in-memory singleton removal
Sun Jan 18 23:54:09 2026  begin with 70076544 relations and 66077510 unique ideals
Sun Jan 18 23:54:15 2026  reduce to 69645206 relations and 60925573 ideals in 7 passes
Sun Jan 18 23:54:15 2026  max relations containing the same ideal: 116
Sun Jan 18 23:54:47 2026  removing 6774479 relations and 4774479 ideals in 2000000 cliques
Sun Jan 18 23:54:50 2026  commencing in-memory singleton removal
Sun Jan 18 23:54:51 2026  begin with 62870727 relations and 60925573 unique ideals
Sun Jan 18 23:54:56 2026  reduce to 62378587 relations and 55646618 ideals in 7 passes
Sun Jan 18 23:54:56 2026  max relations containing the same ideal: 107
Sun Jan 18 23:55:26 2026  removing 6866531 relations and 4866531 ideals in 2000000 cliques
Sun Jan 18 23:55:28 2026  commencing in-memory singleton removal
Sun Jan 18 23:55:29 2026  begin with 55512056 relations and 55646618 unique ideals
Sun Jan 18 23:55:36 2026  reduce to 54936588 relations and 50188723 ideals in 10 passes
Sun Jan 18 23:55:36 2026  max relations containing the same ideal: 98
Sun Jan 18 23:56:02 2026  removing 7009834 relations and 5009834 ideals in 2000000 cliques
Sun Jan 18 23:56:04 2026  commencing in-memory singleton removal
Sun Jan 18 23:56:05 2026  begin with 47926754 relations and 50188723 unique ideals
Sun Jan 18 23:56:08 2026  reduce to 47228775 relations and 44459025 ideals in 9 passes
Sun Jan 18 23:56:08 2026  max relations containing the same ideal: 93
Sun Jan 18 23:56:34 2026  removing 6449625 relations and 4707960 ideals in 1741665 cliques
Sun Jan 18 23:56:36 2026  commencing in-memory singleton removal
Sun Jan 18 23:56:36 2026  begin with 40779150 relations and 44459025 unique ideals
Sun Jan 18 23:56:38 2026  reduce to 40069846 relations and 39019113 ideals in 9 passes
Sun Jan 18 23:56:38 2026  max relations containing the same ideal: 78
Sun Jan 18 23:56:59 2026  removing 175719 relations and 153071 ideals in 22648 cliques
Sun Jan 18 23:57:00 2026  commencing in-memory singleton removal
Sun Jan 18 23:57:01 2026  begin with 39894127 relations and 39019113 unique ideals
Sun Jan 18 23:57:04 2026  reduce to 39893470 relations and 38865385 ideals in 5 passes
Sun Jan 18 23:57:04 2026  max relations containing the same ideal: 78
Sun Jan 18 23:57:06 2026  relations with 0 large ideals: 42613
Sun Jan 18 23:57:06 2026  relations with 1 large ideals: 36507
Sun Jan 18 23:57:06 2026  relations with 2 large ideals: 256352
Sun Jan 18 23:57:06 2026  relations with 3 large ideals: 1469757
Sun Jan 18 23:57:06 2026  relations with 4 large ideals: 4621779
Sun Jan 18 23:57:06 2026  relations with 5 large ideals: 8749176
Sun Jan 18 23:57:06 2026  relations with 6 large ideals: 10440618
Sun Jan 18 23:57:06 2026  relations with 7+ large ideals: 14276668
Sun Jan 18 23:57:06 2026  commencing 2-way merge
Sun Jan 18 23:57:35 2026  reduce to 24763569 relation sets and 23735484 unique ideals
Sun Jan 18 23:57:35 2026  commencing full merge
Mon Jan 19 00:07:11 2026  memory use: 3087.4 MB
Mon Jan 19 00:07:15 2026  found 12210566 cycles, need 12081684
Mon Jan 19 00:07:20 2026  weight of 12081684 cycles is about 1087823647 (90.04/cycle)
Mon Jan 19 00:07:20 2026  distribution of cycle lengths:
Mon Jan 19 00:07:20 2026  1 relations: 1207606
Mon Jan 19 00:07:20 2026  2 relations: 1084785
Mon Jan 19 00:07:20 2026  3 relations: 1093976
Mon Jan 19 00:07:20 2026  4 relations: 1079526
Mon Jan 19 00:07:20 2026  5 relations: 1071305
Mon Jan 19 00:07:20 2026  6 relations: 1031097
Mon Jan 19 00:07:20 2026  7 relations: 960959
Mon Jan 19 00:07:20 2026  8 relations: 862082
Mon Jan 19 00:07:20 2026  9 relations: 757567
Mon Jan 19 00:07:20 2026  10+ relations: 2932781
Mon Jan 19 00:07:20 2026  heaviest cycle: 24 relations
Mon Jan 19 00:07:25 2026  commencing cycle optimization
Mon Jan 19 00:07:56 2026  start with 80704629 relations
Mon Jan 19 00:10:50 2026  pruned 2456800 relations
Mon Jan 19 00:10:51 2026  memory use: 2460.5 MB
Mon Jan 19 00:10:51 2026  distribution of cycle lengths:
Mon Jan 19 00:10:51 2026  1 relations: 1207606
Mon Jan 19 00:10:51 2026  2 relations: 1104761
Mon Jan 19 00:10:51 2026  3 relations: 1129309
Mon Jan 19 00:10:51 2026  4 relations: 1111839
Mon Jan 19 00:10:51 2026  5 relations: 1110607
Mon Jan 19 00:10:51 2026  6 relations: 1063855
Mon Jan 19 00:10:51 2026  7 relations: 992944
Mon Jan 19 00:10:51 2026  8 relations: 883224
Mon Jan 19 00:10:51 2026  9 relations: 770244
Mon Jan 19 00:10:51 2026  10+ relations: 2707295
Mon Jan 19 00:10:51 2026  heaviest cycle: 24 relations
Mon Jan 19 00:11:18 2026  RelProcTime: 4525
Mon Jan 19 00:11:18 2026
Mon Jan 19 00:11:18 2026  commencing linear algebra
Mon Jan 19 00:11:18 2026  using VBITS=256
Mon Jan 19 00:11:18 2026  read 12081684 cycles
Mon Jan 19 00:11:35 2026  cycles contain 39240922 unique relations
Mon Jan 19 00:17:21 2026  read 39240922 relations
Mon Jan 19 00:17:31 2026  using 20 quadratic characters above 4294917295
Mon Jan 19 00:17:46 2026  building initial matrix
Mon Jan 19 00:27:20 2026  memory use: 4792.6 MB
Mon Jan 19 00:27:28 2026  read 12081684 cycles
Mon Jan 19 00:27:30 2026  matrix is 12081504 x 12081684 (4422.1 MB) with weight 1248620301 (103.35/col)
Mon Jan 19 00:27:30 2026  sparse part has weight 1038399253 (85.95/col)
Mon Jan 19 00:29:23 2026  filtering completed in 2 passes
Mon Jan 19 00:29:26 2026  matrix is 12078666 x 12078835 (4421.8 MB) with weight 1248532892 (103.37/col)
Mon Jan 19 00:29:26 2026  sparse part has weight 1038360823 (85.97/col)
Mon Jan 19 00:29:53 2026  matrix starts at (0, 0)
Mon Jan 19 00:29:54 2026  matrix is 12078666 x 12078835 (4421.8 MB) with weight 1248532892 (103.37/col)
Mon Jan 19 00:29:54 2026  sparse part has weight 1038360823 (85.97/col)
Mon Jan 19 00:29:54 2026  saving the first 240 matrix rows for later
Mon Jan 19 00:29:56 2026  matrix includes 256 packed rows
Mon Jan 19 00:30:00 2026  matrix is 12078426 x 12078835 (4142.1 MB) with weight 937907812 (77.65/col)
Mon Jan 19 00:30:00 2026  sparse part has weight 892555892 (73.89/col)
Mon Jan 19 00:30:00 2026  using GPU 0 (NVIDIA GeForce RTX 5070)
Mon Jan 19 00:30:00 2026  selected card has CUDA arch 12.0
Mon Jan 19 00:32:37 2026  commencing Lanczos iteration
Mon Jan 19 00:32:40 2026  memory use: 9850.8 MB
Mon Jan 19 00:33:12 2026  linear algebra at 0.3%, ETA 3h23m
Mon Jan 19 00:33:59 2026  checking every 50000 dimensions, checkpointing every 3550000 dimensions
Mon Jan 19 03:55:20 2026  lanczos halted after 47325 iterations (dim = 12078426)
Mon Jan 19 03:56:01 2026  recovered 36 nontrivial dependencies
Mon Jan 19 03:56:02 2026  BLanczosTime: 13484
Mon Jan 19 03:56:02 2026
Mon Jan 19 03:56:02 2026  commencing square root phase
Mon Jan 19 03:56:02 2026  reading relations for dependency 1
Mon Jan 19 03:56:13 2026  read 6038503 cycles
Mon Jan 19 03:56:25 2026  cycles contain 19618858 unique relations
Mon Jan 19 04:02:44 2026  read 19618858 relations
Mon Jan 19 04:04:38 2026  multiplying 19618858 relations
Mon Jan 19 04:06:58 2026  multiply complete, coefficients have about 491.53 million bits
Mon Jan 19 04:07:00 2026  initial square root is modulo 660114941
Mon Jan 19 04:11:02 2026  GCD is 1, no factor found
Mon Jan 19 04:11:02 2026  reading relations for dependency 2
Mon Jan 19 04:11:06 2026  read 6041493 cycles
Mon Jan 19 04:11:15 2026  cycles contain 19627684 unique relations
Mon Jan 19 04:14:58 2026  read 19627684 relations
Mon Jan 19 04:16:55 2026  multiplying 19627684 relations
Mon Jan 19 04:19:20 2026  multiply complete, coefficients have about 491.73 million bits
Mon Jan 19 04:19:23 2026  initial square root is modulo 665551357
Mon Jan 19 04:23:30 2026  Newton iteration failed to converge
Mon Jan 19 04:23:30 2026  algebraic square root failed
Mon Jan 19 04:23:30 2026  reading relations for dependency 3
Mon Jan 19 04:23:30 2026  read 6039670 cycles
Mon Jan 19 04:23:42 2026  cycles contain 19616014 unique relations
Mon Jan 19 04:25:14 2026  read 19616014 relations
Mon Jan 19 04:26:42 2026  multiplying 19616014 relations
Mon Jan 19 04:28:59 2026  multiply complete, coefficients have about 491.45 million bits
Mon Jan 19 04:29:01 2026  initial square root is modulo 657955141
Mon Jan 19 04:33:13 2026  sqrtTime: 2231
Mon Jan 19 04:33:13 2026  p72 factor: 362339011663919180978396794595858805212619339664261415437584818772414389
Mon Jan 19 04:33:13 2026  p123 factor: 380785529490508236657828822979622707935296618099762134316845622852748693436914439882462672858315045849132759610751947650493
Mon Jan 19 04:33:13 2026  elapsed time 05:37:20