Mon Jan 19 09:04:58 2026
Mon Jan 19 09:04:58 2026
Mon Jan 19 09:04:58 2026  Msieve v. 1.54 (SVN Unversioned directory)
Mon Jan 19 09:04:58 2026  random seeds: 9109f256 63bbbf8f
Mon Jan 19 09:04:58 2026  Using 8 OpenMP threads
Mon Jan 19 09:04:58 2026  factoring 3118741879841115934384680794926525370133486978457735878540100001889390786520089057664835926755983007708557964718335728006050849279288782731713627294487001463919813 (163 digits)
Mon Jan 19 09:04:59 2026  searching for 15-digit factors
Mon Jan 19 09:04:59 2026  commencing number field sieve (163-digit input)
Mon Jan 19 09:04:59 2026  R0: -35483495961233841885164044085660
Mon Jan 19 09:04:59 2026  R1: 79811664979596566557
Mon Jan 19 09:04:59 2026  A0: 273491144775828639381814537635916875234
Mon Jan 19 09:04:59 2026  A1: 245463212095545402050071130942359
Mon Jan 19 09:04:59 2026  A2: -102703231252105920786384498
Mon Jan 19 09:04:59 2026  A3: -33314564114346400489
Mon Jan 19 09:04:59 2026  A4: 8242061537634
Mon Jan 19 09:04:59 2026  A5: 332640
Mon Jan 19 09:04:59 2026  skew 1.00, size 1.196e-15, alpha -8.056, combined = 8.550e-15 rroots = 5
Mon Jan 19 09:04:59 2026
Mon Jan 19 09:04:59 2026  commencing relation filtering
Mon Jan 19 09:04:59 2026  estimated available RAM is 78540.1 MB
Mon Jan 19 09:04:59 2026  commencing duplicate removal, pass 1
Mon Jan 19 09:05:36 2026  error -1 reading relation 13323287
Mon Jan 19 09:06:57 2026  error -1 reading relation 44158464
Mon Jan 19 09:07:38 2026  error -1 reading relation 58909382
Mon Jan 19 09:07:36 2026  error -1 reading relation 59064125
Mon Jan 19 09:07:38 2026  error -1 reading relation 59703331
Mon Jan 19 09:07:39 2026  error -1 reading relation 59944419
Mon Jan 19 09:08:01 2026  error -1 reading relation 67561374
Mon Jan 19 09:08:32 2026  error -1 reading relation 81670397
Mon Jan 19 09:08:54 2026  error -1 reading relation 90283819
Mon Jan 19 09:10:30 2026  error -1 reading relation 127304839
Mon Jan 19 09:10:31 2026  skipped 45 malformed relations
Mon Jan 19 09:10:31 2026  found 19596290 hash collisions in 127417482 relations
Mon Jan 19 09:10:51 2026  added 121862 free relations
Mon Jan 19 09:10:51 2026  commencing duplicate removal, pass 2
Mon Jan 19 09:12:05 2026  found 16458476 duplicates and 111080868 unique relations
Mon Jan 19 09:12:05 2026  memory use: 660.8 MB
Mon Jan 19 09:12:05 2026  reading ideals above 720000
Mon Jan 19 09:12:05 2026  commencing singleton removal, initial pass
Mon Jan 19 09:23:51 2026  memory use: 3012.0 MB
Mon Jan 19 09:23:51 2026  reading all ideals from disk
Mon Jan 19 09:23:55 2026  memory use: 4988.6 MB
Mon Jan 19 09:24:04 2026  keeping 112863735 ideals with weight <= 200, target excess is 583284
Mon Jan 19 09:24:21 2026  commencing in-memory singleton removal
Mon Jan 19 09:24:24 2026  begin with 111080868 relations and 112863735 unique ideals
Mon Jan 19 09:24:42 2026  reduce to 52262070 relations and 45842988 ideals in 17 passes
Mon Jan 19 09:24:42 2026  max relations containing the same ideal: 125
Mon Jan 19 09:25:10 2026  removing 6773264 relations and 5773264 ideals in 1000000 cliques
Mon Jan 19 09:25:12 2026  commencing in-memory singleton removal
Mon Jan 19 09:25:13 2026  begin with 45488806 relations and 45842988 unique ideals
Mon Jan 19 09:25:20 2026  reduce to 44829752 relations and 39394447 ideals in 11 passes
Mon Jan 19 09:25:20 2026  max relations containing the same ideal: 113
Mon Jan 19 09:25:49 2026  removing 5110144 relations and 4110144 ideals in 1000000 cliques
Mon Jan 19 09:25:51 2026  commencing in-memory singleton removal
Mon Jan 19 09:25:52 2026  begin with 39719608 relations and 39394447 unique ideals
Mon Jan 19 09:25:58 2026  reduce to 39271158 relations and 34825840 ideals in 8 passes
Mon Jan 19 09:25:58 2026  max relations containing the same ideal: 106
Mon Jan 19 09:26:19 2026  removing 4600830 relations and 3600830 ideals in 1000000 cliques
Mon Jan 19 09:26:21 2026  commencing in-memory singleton removal
Mon Jan 19 09:26:21 2026  begin with 34670328 relations and 34825840 unique ideals
Mon Jan 19 09:26:27 2026  reduce to 34256795 relations and 30801836 ideals in 10 passes
Mon Jan 19 09:26:27 2026  max relations containing the same ideal: 96
Mon Jan 19 09:26:46 2026  removing 4349413 relations and 3349413 ideals in 1000000 cliques
Mon Jan 19 09:26:48 2026  commencing in-memory singleton removal
Mon Jan 19 09:26:48 2026  begin with 29907382 relations and 30801836 unique ideals
Mon Jan 19 09:26:53 2026  reduce to 29493096 relations and 27027362 ideals in 9 passes
Mon Jan 19 09:26:53 2026  max relations containing the same ideal: 88
Mon Jan 19 09:27:09 2026  removing 4196399 relations and 3196399 ideals in 1000000 cliques
Mon Jan 19 09:27:10 2026  commencing in-memory singleton removal
Mon Jan 19 09:27:11 2026  begin with 25296697 relations and 27027362 unique ideals
Mon Jan 19 09:27:15 2026  reduce to 24855713 relations and 23376589 ideals in 9 passes
Mon Jan 19 09:27:15 2026  max relations containing the same ideal: 76
Mon Jan 19 09:27:30 2026  removing 3454791 relations and 2652277 ideals in 802514 cliques
Mon Jan 19 09:27:32 2026  commencing in-memory singleton removal
Mon Jan 19 09:27:32 2026  begin with 21400922 relations and 23376589 unique ideals
Mon Jan 19 09:27:36 2026  reduce to 21062106 relations and 20376020 ideals in 10 passes
Mon Jan 19 09:27:36 2026  max relations containing the same ideal: 70
Mon Jan 19 09:27:50 2026  removing 85640 relations and 76164 ideals in 9476 cliques
Mon Jan 19 09:27:50 2026  commencing in-memory singleton removal
Mon Jan 19 09:27:51 2026  begin with 20976466 relations and 20376020 unique ideals
Mon Jan 19 09:27:52 2026  reduce to 20976280 relations and 20299670 ideals in 4 passes
Mon Jan 19 09:27:52 2026  max relations containing the same ideal: 70
Mon Jan 19 09:27:56 2026  relations with 0 large ideals: 1994
Mon Jan 19 09:27:56 2026  relations with 1 large ideals: 11584
Mon Jan 19 09:27:56 2026  relations with 2 large ideals: 159675
Mon Jan 19 09:27:56 2026  relations with 3 large ideals: 940333
Mon Jan 19 09:27:56 2026  relations with 4 large ideals: 2925545
Mon Jan 19 09:27:56 2026  relations with 5 large ideals: 5275741
Mon Jan 19 09:27:56 2026  relations with 6 large ideals: 5781973
Mon Jan 19 09:27:56 2026  relations with 7+ large ideals: 5879435
Mon Jan 19 09:27:56 2026  commencing 2-way merge
Mon Jan 19 09:28:12 2026  reduce to 12677313 relation sets and 12000703 unique ideals
Mon Jan 19 09:28:12 2026  commencing full merge
Mon Jan 19 09:33:45 2026  memory use: 1505.7 MB
Mon Jan 19 09:33:47 2026  found 6314954 cycles, need 6226903
Mon Jan 19 09:33:50 2026  weight of 6226903 cycles is about 560872941 (90.07/cycle)
Mon Jan 19 09:33:50 2026  distribution of cycle lengths:
Mon Jan 19 09:33:50 2026  1 relations: 549855
Mon Jan 19 09:33:50 2026  2 relations: 588249
Mon Jan 19 09:33:50 2026  3 relations: 609349
Mon Jan 19 09:33:50 2026  4 relations: 581909
Mon Jan 19 09:33:50 2026  5 relations: 562859
Mon Jan 19 09:33:50 2026  6 relations: 524318
Mon Jan 19 09:33:50 2026  7 relations: 484059
Mon Jan 19 09:33:50 2026  8 relations: 434742
Mon Jan 19 09:33:50 2026  9 relations: 382753
Mon Jan 19 09:33:50 2026  10+ relations: 1508810
Mon Jan 19 09:33:50 2026  heaviest cycle: 22 relations
Mon Jan 19 09:33:53 2026  commencing cycle optimization
Mon Jan 19 09:34:08 2026  start with 41455111 relations
Mon Jan 19 09:35:44 2026  pruned 1269984 relations
Mon Jan 19 09:35:45 2026  memory use: 1281.5 MB
Mon Jan 19 09:35:45 2026  distribution of cycle lengths:
Mon Jan 19 09:35:45 2026  1 relations: 549855
Mon Jan 19 09:35:45 2026  2 relations: 602324
Mon Jan 19 09:35:45 2026  3 relations: 632460
Mon Jan 19 09:35:45 2026  4 relations: 600634
Mon Jan 19 09:35:45 2026  5 relations: 582100
Mon Jan 19 09:35:45 2026  6 relations: 539285
Mon Jan 19 09:35:45 2026  7 relations: 497295
Mon Jan 19 09:35:45 2026  8 relations: 442853
Mon Jan 19 09:35:45 2026  9 relations: 386933
Mon Jan 19 09:35:45 2026  10+ relations: 1393164
Mon Jan 19 09:35:45 2026  heaviest cycle: 22 relations
Mon Jan 19 09:36:02 2026  RelProcTime: 1863
Mon Jan 19 09:36:02 2026
Mon Jan 19 09:36:02 2026  commencing linear algebra
Mon Jan 19 09:36:02 2026  using VBITS=256
Mon Jan 19 09:36:03 2026  read 6226903 cycles
Mon Jan 19 09:36:11 2026  cycles contain 20510617 unique relations
Mon Jan 19 09:37:06 2026  read 20510617 relations
Mon Jan 19 09:37:14 2026  using 20 quadratic characters above 4294917295
Mon Jan 19 09:37:28 2026  building initial matrix
Mon Jan 19 09:42:36 2026  memory use: 2849.4 MB
Mon Jan 19 09:42:39 2026  read 6226903 cycles
Mon Jan 19 09:42:40 2026  matrix is 6226722 x 6226903 (2321.1 MB) with weight 726397713 (116.65/col)
Mon Jan 19 09:42:40 2026  sparse part has weight 533748087 (85.72/col)
Mon Jan 19 09:43:39 2026  filtering completed in 2 passes
Mon Jan 19 09:43:41 2026  matrix is 6225106 x 6225287 (2321.0 MB) with weight 726323480 (116.67/col)
Mon Jan 19 09:43:41 2026  sparse part has weight 533726232 (85.74/col)
Mon Jan 19 09:43:53 2026  matrix starts at (0, 0)
Mon Jan 19 09:43:54 2026  matrix is 6225106 x 6225287 (2321.0 MB) with weight 726323480 (116.67/col)
Mon Jan 19 09:43:54 2026  sparse part has weight 533726232 (85.74/col)
Mon Jan 19 09:43:54 2026  saving the first 240 matrix rows for later
Mon Jan 19 09:43:54 2026  matrix includes 256 packed rows
Mon Jan 19 09:43:57 2026  matrix is 6224866 x 6225287 (2117.0 MB) with weight 486857399 (78.21/col)
Mon Jan 19 09:43:57 2026  sparse part has weight 455366245 (73.15/col)
Mon Jan 19 09:43:57 2026  using GPU 0 (NVIDIA GeForce RTX 5070)
Mon Jan 19 09:43:57 2026  selected card has CUDA arch 12.0
Mon Jan 19 09:44:30 2026  commencing Lanczos iteration
Mon Jan 19 09:44:33 2026  memory use: 5041.5 MB
Mon Jan 19 09:44:47 2026  linear algebra at 0.5%, ETA 0h43m
Mon Jan 19 09:45:11 2026  checking every 120000 dimensions, checkpointing every 7560000 dimensions
Mon Jan 19 10:33:39 2026  lanczos halted after 24390 iterations (dim = 6224866)
Mon Jan 19 10:33:56 2026  recovered 30 nontrivial dependencies
Mon Jan 19 10:33:57 2026  BLanczosTime: 3475
Mon Jan 19 10:33:57 2026
Mon Jan 19 10:33:57 2026  commencing square root phase
Mon Jan 19 10:33:57 2026  reading relations for dependency 1
Mon Jan 19 10:34:00 2026  read 3112295 cycles
Mon Jan 19 10:34:06 2026  cycles contain 10256004 unique relations
Mon Jan 19 10:36:00 2026  read 10256004 relations
Mon Jan 19 10:36:59 2026  multiplying 10256004 relations
Mon Jan 19 10:38:18 2026  multiply complete, coefficients have about 570.38 million bits
Mon Jan 19 10:38:20 2026  initial square root is modulo 131101
Mon Jan 19 10:41:47 2026  GCD is 1, no factor found
Mon Jan 19 10:41:47 2026  reading relations for dependency 2
Mon Jan 19 10:41:48 2026  read 3113236 cycles
Mon Jan 19 10:41:54 2026  cycles contain 10252100 unique relations
Mon Jan 19 10:42:28 2026  read 10252100 relations
Mon Jan 19 10:43:21 2026  multiplying 10252100 relations
Mon Jan 19 10:44:35 2026  multiply complete, coefficients have about 570.14 million bits
Mon Jan 19 10:44:36 2026  initial square root is modulo 130363
Mon Jan 19 10:47:22 2026  GCD is 1, no factor found
Mon Jan 19 10:47:22 2026  reading relations for dependency 3
Mon Jan 19 10:47:23 2026  read 3113902 cycles
Mon Jan 19 10:47:29 2026  cycles contain 10259774 unique relations
Mon Jan 19 10:47:49 2026  read 10259774 relations
Mon Jan 19 10:48:44 2026  multiplying 10259774 relations
Mon Jan 19 10:50:05 2026  multiply complete, coefficients have about 570.58 million bits
Mon Jan 19 10:50:07 2026  initial square root is modulo 131543
Mon Jan 19 10:53:32 2026  GCD is 1, no factor found
Mon Jan 19 10:53:32 2026  reading relations for dependency 4
Mon Jan 19 10:53:34 2026  read 3112614 cycles
Mon Jan 19 10:53:40 2026  cycles contain 10254082 unique relations
Mon Jan 19 10:54:02 2026  read 10254082 relations
Mon Jan 19 10:54:55 2026  multiplying 10254082 relations
Mon Jan 19 10:56:16 2026  multiply complete, coefficients have about 570.25 million bits
Mon Jan 19 10:56:18 2026  initial square root is modulo 130687
Mon Jan 19 10:59:40 2026  GCD is N, no factor found
Mon Jan 19 10:59:40 2026  reading relations for dependency 5
Mon Jan 19 10:59:42 2026  read 3113179 cycles
Mon Jan 19 10:59:48 2026  cycles contain 10254624 unique relations
Mon Jan 19 11:00:07 2026  read 10254624 relations
Mon Jan 19 11:01:01 2026  multiplying 10254624 relations
Mon Jan 19 11:02:18 2026  multiply complete, coefficients have about 570.29 million bits
Mon Jan 19 11:02:20 2026  initial square root is modulo 130807
Mon Jan 19 11:05:37 2026  GCD is 1, no factor found
Mon Jan 19 11:05:37 2026  reading relations for dependency 6
Mon Jan 19 11:05:38 2026  read 3112883 cycles
Mon Jan 19 11:05:44 2026  cycles contain 10259656 unique relations
Mon Jan 19 11:06:06 2026  read 10259656 relations
Mon Jan 19 11:07:00 2026  multiplying 10259656 relations
Mon Jan 19 11:08:22 2026  multiply complete, coefficients have about 570.57 million bits
Mon Jan 19 11:08:24 2026  initial square root is modulo 131543
Mon Jan 19 11:11:49 2026  GCD is N, no factor found
Mon Jan 19 11:11:49 2026  reading relations for dependency 7
Mon Jan 19 11:11:50 2026  read 3111975 cycles
Mon Jan 19 11:11:57 2026  cycles contain 10250776 unique relations
Mon Jan 19 11:12:16 2026  read 10250776 relations
Mon Jan 19 11:13:08 2026  multiplying 10250776 relations
Mon Jan 19 11:14:29 2026  multiply complete, coefficients have about 570.07 million bits
Mon Jan 19 11:14:32 2026  initial square root is modulo 130183
Mon Jan 19 11:17:49 2026  GCD is N, no factor found
Mon Jan 19 11:17:49 2026  reading relations for dependency 8
Mon Jan 19 11:17:51 2026  read 3112282 cycles
Mon Jan 19 11:17:57 2026  cycles contain 10251762 unique relations
Mon Jan 19 11:18:20 2026  read 10251762 relations
Mon Jan 19 11:19:14 2026  multiplying 10251762 relations
Mon Jan 19 11:20:34 2026  multiply complete, coefficients have about 570.13 million bits
Mon Jan 19 11:20:36 2026  initial square root is modulo 130363
Mon Jan 19 11:23:56 2026  sqrtTime: 2999
Mon Jan 19 11:23:56 2026  p80 factor: 15972058210726548335286971719488301518245046707313950469182623763374175263350431
Mon Jan 19 11:23:56 2026  p84 factor: 195262366233214998234954682103715607121038157687365072830689308809447873163847312923
Mon Jan 19 11:23:56 2026  elapsed time 02:18:58