Mon Feb 16 16:54:38 2026
Mon Feb 16 16:54:38 2026
Mon Feb 16 16:54:38 2026  Msieve v. 1.54 (SVN Unversioned directory)
Mon Feb 16 16:54:38 2026  random seeds: 62aa8e4f bd7eb1c5
Mon Feb 16 16:54:38 2026  Using 8 OpenMP threads
Mon Feb 16 16:54:38 2026  factoring 5065051756284200465557327194687881375022138190376254104938493875854507114714446487107926896351233030762527376870587924558424937340176381119323517391867623491 (157 digits)
Mon Feb 16 16:54:39 2026  searching for 15-digit factors
Mon Feb 16 16:54:39 2026  commencing number field sieve (157-digit input)
Mon Feb 16 16:54:39 2026  R0: -3921246674903840138650700711695
Mon Feb 16 16:54:39 2026  R1: 433025673940876636819
Mon Feb 16 16:54:39 2026  A0: 17378016139026531567390919247105443584
Mon Feb 16 16:54:39 2026  A1: 10949153713624408130326390654964
Mon Feb 16 16:54:39 2026  A2: -10788388242893709589758717
Mon Feb 16 16:54:39 2026  A3: -1371312365263198949
Mon Feb 16 16:54:39 2026  A4: 184932138048
Mon Feb 16 16:54:39 2026  A5: 32760
Mon Feb 16 16:54:39 2026  skew 1.00, size 4.650e-15, alpha -7.551, combined = 1.937e-14 rroots = 3
Mon Feb 16 16:54:39 2026
Mon Feb 16 16:54:39 2026  commencing relation filtering
Mon Feb 16 16:54:39 2026  setting target matrix density to 110.0
Mon Feb 16 16:54:39 2026  estimated available RAM is 78540.1 MB
Mon Feb 16 16:54:39 2026  commencing duplicate removal, pass 1
Mon Feb 16 16:56:11 2026  error -1 reading relation 43706508
Mon Feb 16 16:56:11 2026  error -1 reading relation 43708872
Mon Feb 16 16:56:17 2026  error -1 reading relation 45436287
Mon Feb 16 16:56:31 2026  error -1 reading relation 51576089
Mon Feb 16 16:57:01 2026  error -1 reading relation 66252030
Mon Feb 16 16:57:02 2026  error -1 reading relation 66751340
Mon Feb 16 16:57:02 2026  error -1 reading relation 66883190
Mon Feb 16 16:57:02 2026  error -1 reading relation 67060713
Mon Feb 16 16:57:03 2026  error -1 reading relation 67246628
Mon Feb 16 16:57:04 2026  skipped 56 malformed relations
Mon Feb 16 16:57:04 2026  found 7948895 hash collisions in 67884990 relations
Mon Feb 16 16:57:25 2026  added 121756 free relations
Mon Feb 16 16:57:25 2026  commencing duplicate removal, pass 2
Mon Feb 16 16:57:54 2026  found 6969142 duplicates and 61037604 unique relations
Mon Feb 16 16:57:54 2026  memory use: 277.2 MB
Mon Feb 16 16:57:54 2026  reading ideals above 720000
Mon Feb 16 16:57:54 2026  commencing singleton removal, initial pass
Mon Feb 16 17:02:38 2026  memory use: 1506.0 MB
Mon Feb 16 17:02:38 2026  reading all ideals from disk
Mon Feb 16 17:02:40 2026  memory use: 2685.4 MB
Mon Feb 16 17:02:47 2026  keeping 61272592 ideals with weight <= 200, target excess is 317436
Mon Feb 16 17:02:53 2026  commencing in-memory singleton removal
Mon Feb 16 17:02:54 2026  begin with 61037604 relations and 61272592 unique ideals
Mon Feb 16 17:03:05 2026  reduce to 31397992 relations and 27929616 ideals in 16 passes
Mon Feb 16 17:03:05 2026  max relations containing the same ideal: 136
Mon Feb 16 17:03:18 2026  removing 2951379 relations and 2551379 ideals in 400000 cliques
Mon Feb 16 17:03:19 2026  commencing in-memory singleton removal
Mon Feb 16 17:03:19 2026  begin with 28446613 relations and 27929616 unique ideals
Mon Feb 16 17:03:23 2026  reduce to 28241709 relations and 25169943 ideals in 9 passes
Mon Feb 16 17:03:23 2026  max relations containing the same ideal: 125
Mon Feb 16 17:03:37 2026  removing 2217206 relations and 1817206 ideals in 400000 cliques
Mon Feb 16 17:03:38 2026  commencing in-memory singleton removal
Mon Feb 16 17:03:38 2026  begin with 26024503 relations and 25169943 unique ideals
Mon Feb 16 17:03:42 2026  reduce to 25892410 relations and 23218759 ideals in 8 passes
Mon Feb 16 17:03:42 2026  max relations containing the same ideal: 117
Mon Feb 16 17:03:53 2026  removing 1988123 relations and 1588123 ideals in 400000 cliques
Mon Feb 16 17:03:54 2026  commencing in-memory singleton removal
Mon Feb 16 17:03:54 2026  begin with 23904287 relations and 23218759 unique ideals
Mon Feb 16 17:03:57 2026  reduce to 23788555 relations and 21513289 ideals in 7 passes
Mon Feb 16 17:03:57 2026  max relations containing the same ideal: 111
Mon Feb 16 17:04:07 2026  removing 1868086 relations and 1468086 ideals in 400000 cliques
Mon Feb 16 17:04:07 2026  commencing in-memory singleton removal
Mon Feb 16 17:04:08 2026  begin with 21920469 relations and 21513289 unique ideals
Mon Feb 16 17:04:11 2026  reduce to 21811273 relations and 19934331 ideals in 9 passes
Mon Feb 16 17:04:11 2026  max relations containing the same ideal: 103
Mon Feb 16 17:04:21 2026  removing 1792339 relations and 1392339 ideals in 400000 cliques
Mon Feb 16 17:04:22 2026  commencing in-memory singleton removal
Mon Feb 16 17:04:22 2026  begin with 20018934 relations and 19934331 unique ideals
Mon Feb 16 17:04:25 2026  reduce to 19911370 relations and 18432751 ideals in 9 passes
Mon Feb 16 17:04:25 2026  max relations containing the same ideal: 97
Mon Feb 16 17:04:35 2026  removing 1739494 relations and 1339494 ideals in 400000 cliques
Mon Feb 16 17:04:35 2026  commencing in-memory singleton removal
Mon Feb 16 17:04:35 2026  begin with 18171876 relations and 18432751 unique ideals
Mon Feb 16 17:04:38 2026  reduce to 18060766 relations and 16980266 ideals in 8 passes
Mon Feb 16 17:04:38 2026  max relations containing the same ideal: 91
Mon Feb 16 17:04:46 2026  removing 1703751 relations and 1303751 ideals in 400000 cliques
Mon Feb 16 17:04:47 2026  commencing in-memory singleton removal
Mon Feb 16 17:04:47 2026  begin with 16357015 relations and 16980266 unique ideals
Mon Feb 16 17:04:49 2026  reduce to 16242162 relations and 15559551 ideals in 8 passes
Mon Feb 16 17:04:49 2026  max relations containing the same ideal: 85
Mon Feb 16 17:04:56 2026  removing 1380425 relations and 1066040 ideals in 314385 cliques
Mon Feb 16 17:04:57 2026  commencing in-memory singleton removal
Mon Feb 16 17:04:57 2026  begin with 14861737 relations and 15559551 unique ideals
Mon Feb 16 17:04:58 2026  reduce to 14781218 relations and 14411691 ideals in 7 passes
Mon Feb 16 17:04:58 2026  max relations containing the same ideal: 82
Mon Feb 16 17:05:08 2026  relations with 0 large ideals: 1045
Mon Feb 16 17:05:08 2026  relations with 1 large ideals: 3171
Mon Feb 16 17:05:08 2026  relations with 2 large ideals: 49782
Mon Feb 16 17:05:08 2026  relations with 3 large ideals: 354805
Mon Feb 16 17:05:08 2026  relations with 4 large ideals: 1345467
Mon Feb 16 17:05:08 2026  relations with 5 large ideals: 2995371
Mon Feb 16 17:05:08 2026  relations with 6 large ideals: 4118998
Mon Feb 16 17:05:08 2026  relations with 7+ large ideals: 5912579
Mon Feb 16 17:05:08 2026  commencing 2-way merge
Mon Feb 16 17:05:17 2026  reduce to 9272482 relation sets and 8902955 unique ideals
Mon Feb 16 17:05:17 2026  commencing full merge
Mon Feb 16 17:09:20 2026  memory use: 1188.4 MB
Mon Feb 16 17:09:21 2026  found 4300908 cycles, need 4271155
Mon Feb 16 17:09:23 2026  weight of 4271155 cycles is about 470047703 (110.05/cycle)
Mon Feb 16 17:09:23 2026  distribution of cycle lengths:
Mon Feb 16 17:09:23 2026  1 relations: 223316
Mon Feb 16 17:09:23 2026  2 relations: 318834
Mon Feb 16 17:09:23 2026  3 relations: 350714
Mon Feb 16 17:09:23 2026  4 relations: 341520
Mon Feb 16 17:09:23 2026  5 relations: 336828
Mon Feb 16 17:09:23 2026  6 relations: 319809
Mon Feb 16 17:09:23 2026  7 relations: 304541
Mon Feb 16 17:09:23 2026  8 relations: 283448
Mon Feb 16 17:09:23 2026  9 relations: 264716
Mon Feb 16 17:09:23 2026  10+ relations: 1527429
Mon Feb 16 17:09:23 2026  heaviest cycle: 28 relations
Mon Feb 16 17:09:24 2026  commencing cycle optimization
Mon Feb 16 17:09:35 2026  start with 35199909 relations
Mon Feb 16 17:10:59 2026  pruned 1447710 relations
Mon Feb 16 17:10:59 2026  memory use: 972.1 MB
Mon Feb 16 17:10:59 2026  distribution of cycle lengths:
Mon Feb 16 17:11:00 2026  1 relations: 223316
Mon Feb 16 17:11:00 2026  2 relations: 327452
Mon Feb 16 17:11:00 2026  3 relations: 366292
Mon Feb 16 17:11:00 2026  4 relations: 354620
Mon Feb 16 17:11:00 2026  5 relations: 352018
Mon Feb 16 17:11:00 2026  6 relations: 332409
Mon Feb 16 17:11:00 2026  7 relations: 317225
Mon Feb 16 17:11:00 2026  8 relations: 293881
Mon Feb 16 17:11:00 2026  9 relations: 272863
Mon Feb 16 17:11:00 2026  10+ relations: 1431079
Mon Feb 16 17:11:00 2026  heaviest cycle: 28 relations
Mon Feb 16 17:11:10 2026  RelProcTime: 991
Mon Feb 16 17:11:10 2026  elapsed time 00:16:32
Mon Feb 16 17:11:22 2026
Mon Feb 16 17:11:22 2026
Mon Feb 16 17:11:22 2026  Msieve v. 1.54 (SVN Unversioned directory)
Mon Feb 16 17:11:22 2026  random seeds: 309db807 9124450d
Mon Feb 16 17:11:22 2026  Using 8 OpenMP threads
Mon Feb 16 17:11:22 2026  factoring 5065051756284200465557327194687881375022138190376254104938493875854507114714446487107926896351233030762527376870587924558424937340176381119323517391867623491 (157 digits)
Mon Feb 16 17:11:22 2026  searching for 15-digit factors
Mon Feb 16 17:11:23 2026  commencing number field sieve (157-digit input)
Mon Feb 16 17:11:23 2026  R0: -3921246674903840138650700711695
Mon Feb 16 17:11:23 2026  R1: 433025673940876636819
Mon Feb 16 17:11:23 2026  A0: 17378016139026531567390919247105443584
Mon Feb 16 17:11:23 2026  A1: 10949153713624408130326390654964
Mon Feb 16 17:11:23 2026  A2: -10788388242893709589758717
Mon Feb 16 17:11:23 2026  A3: -1371312365263198949
Mon Feb 16 17:11:23 2026  A4: 184932138048
Mon Feb 16 17:11:23 2026  A5: 32760
Mon Feb 16 17:11:23 2026  skew 1.00, size 4.650e-15, alpha -7.551, combined = 1.937e-14 rroots = 3
Mon Feb 16 17:11:23 2026
Mon Feb 16 17:11:23 2026  commencing linear algebra
Mon Feb 16 17:11:23 2026  using VBITS=256
Mon Feb 16 17:11:23 2026  read 4271155 cycles
Mon Feb 16 17:11:31 2026  cycles contain 14542875 unique relations
Mon Feb 16 17:11:51 2026  read 14542875 relations
Mon Feb 16 17:11:55 2026  using 20 quadratic characters above 4294917295
Mon Feb 16 17:12:02 2026  building initial matrix
Mon Feb 16 17:14:21 2026  memory use: 2005.8 MB
Mon Feb 16 17:14:22 2026  read 4271155 cycles
Mon Feb 16 17:14:23 2026  matrix is 4270977 x 4271155 (1872.0 MB) with weight 584435585 (136.83/col)
Mon Feb 16 17:14:23 2026  sparse part has weight 439469327 (102.89/col)
Mon Feb 16 17:14:53 2026  filtering completed in 2 passes
Mon Feb 16 17:14:54 2026  matrix is 4270776 x 4270953 (1871.9 MB) with weight 584424795 (136.84/col)
Mon Feb 16 17:14:54 2026  sparse part has weight 439465816 (102.90/col)
Mon Feb 16 17:15:02 2026  matrix starts at (0, 0)
Mon Feb 16 17:15:03 2026  matrix is 4270776 x 4270953 (1871.9 MB) with weight 584424795 (136.84/col)
Mon Feb 16 17:15:03 2026  sparse part has weight 439465816 (102.90/col)
Mon Feb 16 17:15:03 2026  saving the first 240 matrix rows for later
Mon Feb 16 17:15:03 2026  matrix includes 256 packed rows
Mon Feb 16 17:15:04 2026  matrix is 4270536 x 4270953 (1691.6 MB) with weight 402352614 (94.21/col)
Mon Feb 16 17:15:04 2026  sparse part has weight 375113739 (87.83/col)
Mon Feb 16 17:15:04 2026  using GPU 0 (NVIDIA GeForce RTX 5070)
Mon Feb 16 17:15:04 2026  selected card has CUDA arch 12.0
Mon Feb 16 17:15:50 2026  commencing Lanczos iteration
Mon Feb 16 17:15:51 2026  memory use: 3937.2 MB
Mon Feb 16 17:16:07 2026  linear algebra at 0.7%, ETA 0h36m
Mon Feb 16 17:16:23 2026  checking every 140000 dimensions, checkpointing every 8680000 dimensions
Mon Feb 16 17:41:52 2026  lanczos halted after 16733 iterations (dim = 4270534)
Mon Feb 16 17:42:05 2026  recovered 30 nontrivial dependencies
Mon Feb 16 17:42:05 2026  BLanczosTime: 1842
Mon Feb 16 17:42:05 2026  elapsed time 00:30:43
Mon Feb 16 17:42:09 2026
Mon Feb 16 17:42:09 2026
Mon Feb 16 17:42:09 2026  Msieve v. 1.54 (SVN Unversioned directory)
Mon Feb 16 17:42:09 2026  random seeds: c5a60cdf d119c2b6
Mon Feb 16 17:42:09 2026  Using 8 OpenMP threads
Mon Feb 16 17:42:09 2026  factoring 5065051756284200465557327194687881375022138190376254104938493875854507114714446487107926896351233030762527376870587924558424937340176381119323517391867623491 (157 digits)
Mon Feb 16 17:42:09 2026  searching for 15-digit factors
Mon Feb 16 17:42:10 2026  commencing number field sieve (157-digit input)
Mon Feb 16 17:42:10 2026  R0: -3921246674903840138650700711695
Mon Feb 16 17:42:10 2026  R1: 433025673940876636819
Mon Feb 16 17:42:10 2026  A0: 17378016139026531567390919247105443584
Mon Feb 16 17:42:10 2026  A1: 10949153713624408130326390654964
Mon Feb 16 17:42:10 2026  A2: -10788388242893709589758717
Mon Feb 16 17:42:10 2026  A3: -1371312365263198949
Mon Feb 16 17:42:10 2026  A4: 184932138048
Mon Feb 16 17:42:10 2026  A5: 32760
Mon Feb 16 17:42:10 2026  skew 1.00, size 4.650e-15, alpha -7.551, combined = 1.937e-14 rroots = 3
Mon Feb 16 17:42:10 2026
Mon Feb 16 17:42:10 2026  commencing square root phase
Mon Feb 16 17:42:10 2026  reading relations for dependency 1
Mon Feb 16 17:42:10 2026  read 2135134 cycles
Mon Feb 16 17:42:13 2026  cycles contain 7271916 unique relations
Mon Feb 16 17:42:29 2026  read 7271916 relations
Mon Feb 16 17:42:50 2026  multiplying 7271916 relations
Mon Feb 16 17:43:27 2026  multiply complete, coefficients have about 368.63 million bits
Mon Feb 16 17:43:28 2026  initial square root is modulo 4116373
Mon Feb 16 17:44:47 2026  GCD is N, no factor found
Mon Feb 16 17:44:47 2026  reading relations for dependency 2
Mon Feb 16 17:44:47 2026  read 2134132 cycles
Mon Feb 16 17:44:49 2026  cycles contain 7271300 unique relations
Mon Feb 16 17:44:58 2026  read 7271300 relations
Mon Feb 16 17:45:21 2026  multiplying 7271300 relations
Mon Feb 16 17:45:58 2026  multiply complete, coefficients have about 368.60 million bits
Mon Feb 16 17:45:59 2026  initial square root is modulo 4111241
Mon Feb 16 17:47:20 2026  GCD is N, no factor found
Mon Feb 16 17:47:20 2026  reading relations for dependency 3
Mon Feb 16 17:47:20 2026  read 2135916 cycles
Mon Feb 16 17:47:23 2026  cycles contain 7270590 unique relations
Mon Feb 16 17:47:32 2026  read 7270590 relations
Mon Feb 16 17:47:53 2026  multiplying 7270590 relations
Mon Feb 16 17:48:29 2026  multiply complete, coefficients have about 368.57 million bits
Mon Feb 16 17:48:30 2026  initial square root is modulo 4105553
Mon Feb 16 17:49:54 2026  GCD is 1, no factor found
Mon Feb 16 17:49:54 2026  reading relations for dependency 4
Mon Feb 16 17:49:54 2026  read 2136398 cycles
Mon Feb 16 17:49:57 2026  cycles contain 7273660 unique relations
Mon Feb 16 17:50:07 2026  read 7273660 relations
Mon Feb 16 17:50:29 2026  multiplying 7273660 relations
Mon Feb 16 17:51:21 2026  multiply complete, coefficients have about 368.72 million bits
Mon Feb 16 17:51:22 2026  initial square root is modulo 4131709
Mon Feb 16 17:53:29 2026  GCD is 1, no factor found
Mon Feb 16 17:53:29 2026  reading relations for dependency 5
Mon Feb 16 17:53:30 2026  read 2137120 cycles
Mon Feb 16 17:53:32 2026  cycles contain 7274494 unique relations
Mon Feb 16 17:53:43 2026  read 7274494 relations
Mon Feb 16 17:54:09 2026  multiplying 7274494 relations
Mon Feb 16 17:54:47 2026  multiply complete, coefficients have about 368.77 million bits
Mon Feb 16 17:54:47 2026  initial square root is modulo 4139497
Mon Feb 16 17:56:11 2026  sqrtTime: 841
Mon Feb 16 17:56:11 2026  p65 factor: 56664638207354556062418103399262818917027099783457057797176275073
Mon Feb 16 17:56:11 2026  p92 factor: 89386465995768110104513491606331781028253593991824124728631648030010511772309705034643523267
Mon Feb 16 17:56:11 2026  elapsed time 00:14:02