Wed Mar 25 08:48:55 2026
Wed Mar 25 08:48:55 2026
Wed Mar 25 08:48:55 2026  Msieve v. 1.54 (SVN Unversioned directory)
Wed Mar 25 08:48:55 2026  random seeds: 69053ac5 e612cc66
Wed Mar 25 08:48:55 2026  Using 8 OpenMP threads
Wed Mar 25 08:48:55 2026  factoring 1337740967120398007777115216545587584226016344573251454726609988368294324094223837115807596746766042629636610240587336193202100525611173752555982787625758753 (157 digits)
Wed Mar 25 08:48:55 2026  searching for 15-digit factors
Wed Mar 25 08:48:56 2026  commencing number field sieve (157-digit input)
Wed Mar 25 08:48:56 2026  R0: -3107786164286715068585072862454
Wed Mar 25 08:48:56 2026  R1: 123738107053836338093
Wed Mar 25 08:48:56 2026  A0: -3494418501561753548415159671461242300375
Wed Mar 25 08:48:56 2026  A1: 244680185597425808581144648428055
Wed Mar 25 08:48:56 2026  A2: 168208269604986246809477847
Wed Mar 25 08:48:56 2026  A3: -2259211490294861443
Wed Mar 25 08:48:56 2026  A4: -420940560024
Wed Mar 25 08:48:56 2026  A5: 13860
Wed Mar 25 08:48:56 2026  skew 15288987.73, size 4.821e-15, alpha -8.916, combined = 2.952e-12 rroots = 3
Wed Mar 25 08:48:56 2026
Wed Mar 25 08:48:56 2026  commencing relation filtering
Wed Mar 25 08:48:56 2026  target densities: 100 120 140
Wed Mar 25 08:48:56 2026  estimated available RAM is 78540.1 MB
Wed Mar 25 08:48:56 2026  commencing duplicate removal, pass 1
Wed Mar 25 08:53:07 2026  error -1 reading relation 90621795
Wed Mar 25 08:53:20 2026  error -1 reading relation 95098924
Wed Mar 25 08:53:25 2026  error -1 reading relation 96815214
Wed Mar 25 08:53:32 2026  error -1 reading relation 99131077
Wed Mar 25 08:53:33 2026  error -1 reading relation 99468075
Wed Mar 25 08:54:50 2026  skipped 29 malformed relations
Wed Mar 25 08:54:50 2026  found 17516869 hash collisions in 127310247 relations
Wed Mar 25 08:55:07 2026  added 122695 free relations
Wed Mar 25 08:55:07 2026  commencing duplicate removal, pass 2
Wed Mar 25 08:56:27 2026  found 16291122 duplicates and 111141820 unique relations
Wed Mar 25 08:56:27 2026  memory use: 554.4 MB
Wed Mar 25 08:56:27 2026  reading ideals above 720000
Wed Mar 25 08:56:28 2026  commencing singleton removal, initial pass
Wed Mar 25 09:08:54 2026  memory use: 3012.0 MB
Wed Mar 25 09:08:55 2026  reading all ideals from disk
Wed Mar 25 09:09:08 2026  memory use: 4806.8 MB
Wed Mar 25 09:09:28 2026  keeping 111420319 ideals with weight <= 200, target excess is 588090
Wed Mar 25 09:09:43 2026  commencing in-memory singleton removal
Wed Mar 25 09:09:44 2026  begin with 111141820 relations and 111420319 unique ideals
Wed Mar 25 09:10:04 2026  reduce to 51571146 relations and 43113190 ideals in 17 passes
Wed Mar 25 09:10:04 2026  max relations containing the same ideal: 128
Wed Mar 25 09:10:38 2026  removing 6510022 relations and 5510022 ideals in 1000000 cliques
Wed Mar 25 09:10:40 2026  commencing in-memory singleton removal
Wed Mar 25 09:10:41 2026  begin with 45061124 relations and 43113190 unique ideals
Wed Mar 25 09:10:49 2026  reduce to 44451256 relations and 36978004 ideals in 11 passes
Wed Mar 25 09:10:49 2026  max relations containing the same ideal: 113
Wed Mar 25 09:11:16 2026  removing 4859073 relations and 3859073 ideals in 1000000 cliques
Wed Mar 25 09:11:18 2026  commencing in-memory singleton removal
Wed Mar 25 09:11:19 2026  begin with 39592183 relations and 36978004 unique ideals
Wed Mar 25 09:11:25 2026  reduce to 39187141 relations and 32704702 ideals in 10 passes
Wed Mar 25 09:11:25 2026  max relations containing the same ideal: 103
Wed Mar 25 09:11:50 2026  removing 4347596 relations and 3347596 ideals in 1000000 cliques
Wed Mar 25 09:11:52 2026  commencing in-memory singleton removal
Wed Mar 25 09:11:52 2026  begin with 34839545 relations and 32704702 unique ideals
Wed Mar 25 09:11:56 2026  reduce to 34471135 relations and 28979888 ideals in 8 passes
Wed Mar 25 09:11:56 2026  max relations containing the same ideal: 93
Wed Mar 25 09:12:19 2026  removing 4090044 relations and 3090044 ideals in 1000000 cliques
Wed Mar 25 09:12:20 2026  commencing in-memory singleton removal
Wed Mar 25 09:12:21 2026  begin with 30381091 relations and 28979888 unique ideals
Wed Mar 25 09:12:25 2026  reduce to 30016046 relations and 25515346 ideals in 9 passes
Wed Mar 25 09:12:25 2026  max relations containing the same ideal: 84
Wed Mar 25 09:12:45 2026  removing 3932137 relations and 2932137 ideals in 1000000 cliques
Wed Mar 25 09:12:46 2026  commencing in-memory singleton removal
Wed Mar 25 09:12:47 2026  begin with 26083909 relations and 25515346 unique ideals
Wed Mar 25 09:12:50 2026  reduce to 25704417 relations and 22192569 ideals in 8 passes
Wed Mar 25 09:12:50 2026  max relations containing the same ideal: 77
Wed Mar 25 09:13:07 2026  removing 3834985 relations and 2834985 ideals in 1000000 cliques
Wed Mar 25 09:13:08 2026  commencing in-memory singleton removal
Wed Mar 25 09:13:08 2026  begin with 21869432 relations and 22192569 unique ideals
Wed Mar 25 09:13:11 2026  reduce to 21453401 relations and 18927537 ideals in 8 passes
Wed Mar 25 09:13:11 2026  max relations containing the same ideal: 69
Wed Mar 25 09:13:25 2026  removing 3780378 relations and 2780378 ideals in 1000000 cliques
Wed Mar 25 09:13:26 2026  commencing in-memory singleton removal
Wed Mar 25 09:13:26 2026  begin with 17673023 relations and 18927537 unique ideals
Wed Mar 25 09:13:29 2026  reduce to 17189928 relations and 15644382 ideals in 9 passes
Wed Mar 25 09:13:29 2026  max relations containing the same ideal: 60
Wed Mar 25 09:13:40 2026  removing 3350582 relations and 2487221 ideals in 863361 cliques
Wed Mar 25 09:13:41 2026  commencing in-memory singleton removal
Wed Mar 25 09:13:41 2026  begin with 13839346 relations and 15644382 unique ideals
Wed Mar 25 09:13:44 2026  reduce to 13367668 relations and 12664654 ideals in 10 passes
Wed Mar 25 09:13:44 2026  max relations containing the same ideal: 53
Wed Mar 25 09:13:52 2026  removing 170450 relations and 149621 ideals in 20829 cliques
Wed Mar 25 09:13:52 2026  commencing in-memory singleton removal
Wed Mar 25 09:13:52 2026  begin with 13197218 relations and 12664654 unique ideals
Wed Mar 25 09:13:53 2026  reduce to 13196015 relations and 12513829 ideals in 5 passes
Wed Mar 25 09:13:53 2026  max relations containing the same ideal: 53
Wed Mar 25 09:13:54 2026  relations with 0 large ideals: 1938
Wed Mar 25 09:13:54 2026  relations with 1 large ideals: 22800
Wed Mar 25 09:13:54 2026  relations with 2 large ideals: 263092
Wed Mar 25 09:13:54 2026  relations with 3 large ideals: 1236744
Wed Mar 25 09:13:54 2026  relations with 4 large ideals: 2948144
Wed Mar 25 09:13:54 2026  relations with 5 large ideals: 3887758
Wed Mar 25 09:13:54 2026  relations with 6 large ideals: 3010759
Wed Mar 25 09:13:54 2026  relations with 7+ large ideals: 1824780
Wed Mar 25 09:13:54 2026  commencing 2-way merge
Wed Mar 25 09:14:04 2026  reduce to 7697541 relation sets and 7015355 unique ideals
Wed Mar 25 09:14:05 2026
Wed Mar 25 09:14:05 2026  trying target density 100
Wed Mar 25 09:14:05 2026  commencing full merge
Wed Mar 25 09:17:09 2026  memory use: 863.5 MB
Wed Mar 25 09:17:11 2026  found 3665841 cycles, need 3581555
Wed Mar 25 09:17:13 2026  weight of 3581555 cycles is about 358735531 (100.16/cycle)
Wed Mar 25 09:17:13 2026  distribution of cycle lengths:
Wed Mar 25 09:17:13 2026  1 relations: 265545
Wed Mar 25 09:17:13 2026  2 relations: 279620
Wed Mar 25 09:17:13 2026  3 relations: 296559
Wed Mar 25 09:17:13 2026  4 relations: 294125
Wed Mar 25 09:17:13 2026  5 relations: 294195
Wed Mar 25 09:17:13 2026  6 relations: 287581
Wed Mar 25 09:17:13 2026  7 relations: 272847
Wed Mar 25 09:17:13 2026  8 relations: 255498
Wed Mar 25 09:17:13 2026  9 relations: 232326
Wed Mar 25 09:17:13 2026  10+ relations: 1103259
Wed Mar 25 09:17:13 2026  heaviest cycle: 23 relations
Wed Mar 25 09:17:14 2026  target density 100 succeeded, avg weight 100.16
Wed Mar 25 09:17:14 2026  commencing cycle optimization
Wed Mar 25 09:17:25 2026  start with 26738317 relations
Wed Mar 25 09:18:35 2026  pruned 900032 relations
Wed Mar 25 09:18:35 2026  memory use: 804.4 MB
Wed Mar 25 09:18:35 2026  distribution of cycle lengths:
Wed Mar 25 09:18:35 2026  1 relations: 265545
Wed Mar 25 09:18:35 2026  2 relations: 286292
Wed Mar 25 09:18:35 2026  3 relations: 307519
Wed Mar 25 09:18:35 2026  4 relations: 304401
Wed Mar 25 09:18:35 2026  5 relations: 306205
Wed Mar 25 09:18:35 2026  6 relations: 297757
Wed Mar 25 09:18:35 2026  7 relations: 283878
Wed Mar 25 09:18:35 2026  8 relations: 263146
Wed Mar 25 09:18:35 2026  9 relations: 238564
Wed Mar 25 09:18:35 2026  10+ relations: 1028248
Wed Mar 25 09:18:35 2026  heaviest cycle: 23 relations
Wed Mar 25 09:18:46 2026
Wed Mar 25 09:18:46 2026  trying target density 120
Wed Mar 25 09:18:46 2026  commencing full merge
Wed Mar 25 09:22:32 2026  memory use: 877.2 MB
Wed Mar 25 09:22:34 2026  found 3437219 cycles, need 3381555
Wed Mar 25 09:22:35 2026  weight of 3381555 cycles is about 406047688 (120.08/cycle)
Wed Mar 25 09:22:35 2026  distribution of cycle lengths:
Wed Mar 25 09:22:35 2026  1 relations: 178247
Wed Mar 25 09:22:35 2026  2 relations: 213305
Wed Mar 25 09:22:35 2026  3 relations: 231424
Wed Mar 25 09:22:35 2026  4 relations: 233547
Wed Mar 25 09:22:35 2026  5 relations: 238414
Wed Mar 25 09:22:35 2026  6 relations: 236291
Wed Mar 25 09:22:35 2026  7 relations: 231371
Wed Mar 25 09:22:35 2026  8 relations: 223290
Wed Mar 25 09:22:35 2026  9 relations: 210779
Wed Mar 25 09:22:35 2026  10+ relations: 1384887
Wed Mar 25 09:22:35 2026  heaviest cycle: 27 relations
Wed Mar 25 09:22:36 2026  target density 120 succeeded, avg weight 120.08
Wed Mar 25 09:22:36 2026  commencing cycle optimization
Wed Mar 25 09:22:47 2026  start with 30145290 relations
Wed Mar 25 09:24:23 2026  pruned 1219825 relations
Wed Mar 25 09:24:23 2026  memory use: 839.6 MB
Wed Mar 25 09:24:23 2026  distribution of cycle lengths:
Wed Mar 25 09:24:23 2026  1 relations: 178247
Wed Mar 25 09:24:23 2026  2 relations: 218489
Wed Mar 25 09:24:23 2026  3 relations: 240461
Wed Mar 25 09:24:23 2026  4 relations: 242541
Wed Mar 25 09:24:23 2026  5 relations: 249088
Wed Mar 25 09:24:23 2026  6 relations: 246430
Wed Mar 25 09:24:23 2026  7 relations: 242844
Wed Mar 25 09:24:23 2026  8 relations: 232783
Wed Mar 25 09:24:23 2026  9 relations: 220275
Wed Mar 25 09:24:23 2026  10+ relations: 1310397
Wed Mar 25 09:24:23 2026  heaviest cycle: 27 relations
Wed Mar 25 09:24:34 2026
Wed Mar 25 09:24:34 2026  trying target density 140
Wed Mar 25 09:24:34 2026  commencing full merge
Wed Mar 25 09:32:14 2026  memory use: 333.1 MB
Wed Mar 25 09:32:14 2026  found 35044 cycles, need 1873790
Wed Mar 25 09:32:14 2026  too few cycles, matrix probably cannot build
Wed Mar 25 09:32:14 2026  target density 140: merge failed
Wed Mar 25 09:32:15 2026  RelProcTime: 2599
Wed Mar 25 09:32:15 2026
Wed Mar 25 09:32:15 2026  commencing linear algebra
Wed Mar 25 09:32:15 2026  using VBITS=256
Wed Mar 25 09:32:15 2026  building matrices for all .cyc.## files
Wed Mar 25 09:32:15 2026
Wed Mar 25 09:32:15 2026  building matrix for density 100
Wed Mar 25 09:32:16 2026  read 3581555 cycles
Wed Mar 25 09:32:22 2026  cycles contain 12731845 unique relations
Wed Mar 25 09:33:08 2026  read 12731845 relations
Wed Mar 25 09:33:12 2026  using 20 quadratic characters above 4294917295
Wed Mar 25 09:33:19 2026  building initial matrix
Wed Mar 25 09:35:50 2026  memory use: 1733.4 MB
Wed Mar 25 09:35:51 2026  read 3581555 cycles
Wed Mar 25 09:35:52 2026  matrix is 3581373 x 3581555 (1455.8 MB) with weight 455538244 (127.19/col)
Wed Mar 25 09:35:52 2026  sparse part has weight 338660886 (94.56/col)
Wed Mar 25 09:36:34 2026  filtering completed in 2 passes
Wed Mar 25 09:36:35 2026  matrix is 3580229 x 3580409 (1455.7 MB) with weight 455473414 (127.21/col)
Wed Mar 25 09:36:35 2026  sparse part has weight 338635131 (94.58/col)
Wed Mar 25 09:36:44 2026
Wed Mar 25 09:36:44 2026  building matrix for density 120
Wed Mar 25 09:36:44 2026  read 3381555 cycles
Wed Mar 25 09:36:51 2026  cycles contain 12734222 unique relations
Wed Mar 25 09:37:09 2026  read 12734222 relations
Wed Mar 25 09:37:12 2026  using 20 quadratic characters above 4294917295
Wed Mar 25 09:37:17 2026  building initial matrix
Wed Mar 25 09:40:00 2026  memory use: 1739.4 MB
Wed Mar 25 09:40:02 2026  read 3381555 cycles
Wed Mar 25 09:40:03 2026  matrix is 3381375 x 3381555 (1596.6 MB) with weight 494937124 (146.36/col)
Wed Mar 25 09:40:03 2026  sparse part has weight 377957671 (111.77/col)
Wed Mar 25 09:40:40 2026  filtering completed in 2 passes
Wed Mar 25 09:40:41 2026  matrix is 3380915 x 3381093 (1596.5 MB) with weight 494909111 (146.38/col)
Wed Mar 25 09:40:41 2026  sparse part has weight 377946725 (111.78/col)
Wed Mar 25 09:40:51 2026  BLanczosTime: 516
Wed Mar 25 09:40:51 2026  elapsed time 00:51:56
Wed Mar 25 09:55:48 2026
Wed Mar 25 09:55:48 2026
Wed Mar 25 09:55:48 2026  Msieve v. 1.54 (SVN Unversioned directory)
Wed Mar 25 09:55:48 2026  random seeds: b0a62fae 7571fda6
Wed Mar 25 09:55:48 2026  Using 8 OpenMP threads
Wed Mar 25 09:55:48 2026  factoring 1337740967120398007777115216545587584226016344573251454726609988368294324094223837115807596746766042629636610240587336193202100525611173752555982787625758753 (157 digits)
Wed Mar 25 09:55:49 2026  searching for 15-digit factors
Wed Mar 25 09:55:49 2026  commencing number field sieve (157-digit input)
Wed Mar 25 09:55:49 2026  R0: -3107786164286715068585072862454
Wed Mar 25 09:55:49 2026  R1: 123738107053836338093
Wed Mar 25 09:55:49 2026  A0: -3494418501561753548415159671461242300375
Wed Mar 25 09:55:49 2026  A1: 244680185597425808581144648428055
Wed Mar 25 09:55:49 2026  A2: 168208269604986246809477847
Wed Mar 25 09:55:49 2026  A3: -2259211490294861443
Wed Mar 25 09:55:49 2026  A4: -420940560024
Wed Mar 25 09:55:49 2026  A5: 13860
Wed Mar 25 09:55:49 2026  skew 15288987.73, size 4.821e-15, alpha -8.916, combined = 2.952e-12 rroots = 3
Wed Mar 25 09:55:49 2026
Wed Mar 25 09:55:49 2026  commencing linear algebra
Wed Mar 25 09:55:49 2026  using VBITS=256
Wed Mar 25 09:55:49 2026  selected density 120 for linear algebra
Wed Mar 25 09:55:50 2026  matrix starts at (0, 0)
Wed Mar 25 09:55:50 2026  matrix is 3380915 x 3381093 (1596.5 MB) with weight 494909111 (146.38/col)
Wed Mar 25 09:55:50 2026  sparse part has weight 377946725 (111.78/col)
Wed Mar 25 09:55:50 2026  saving the first 240 matrix rows for later
Wed Mar 25 09:55:52 2026  matrix includes 256 packed rows
Wed Mar 25 09:55:52 2026  matrix is 3380675 x 3381093 (1421.7 MB) with weight 344315315 (101.84/col)
Wed Mar 25 09:55:52 2026  sparse part has weight 318593197 (94.23/col)
Wed Mar 25 09:55:52 2026  using GPU 0 (NVIDIA GeForce RTX 5070)
Wed Mar 25 09:55:52 2026  selected card has CUDA arch 12.0
Wed Mar 25 09:56:55 2026  commencing Lanczos iteration
Wed Mar 25 09:56:56 2026  memory use: 3281.9 MB
Wed Mar 25 09:57:05 2026  linear algebra at 0.9%, ETA 0h16m
Wed Mar 25 09:57:18 2026  checking every 200000 dimensions, checkpointing every 12600000 dimensions
Wed Mar 25 10:12:54 2026  lanczos halted after 13247 iterations (dim = 3380675)
Wed Mar 25 10:13:06 2026  recovered 30 nontrivial dependencies
Wed Mar 25 10:13:06 2026  BLanczosTime: 1037
Wed Mar 25 10:13:06 2026
Wed Mar 25 10:13:06 2026  commencing square root phase
Wed Mar 25 10:13:06 2026  handling dependencies 1 to 64
Wed Mar 25 10:13:06 2026  reading relations for dependency 1
Wed Mar 25 10:13:07 2026  read 1691985 cycles
Wed Mar 25 10:13:10 2026  cycles contain 6369352 unique relations
Wed Mar 25 10:14:59 2026  read 6369352 relations
Wed Mar 25 10:15:30 2026  multiplying 6369352 relations
Wed Mar 25 10:16:10 2026  multiply complete, coefficients have about 317.53 million bits
Wed Mar 25 10:16:11 2026  initial square root is modulo 498403
Wed Mar 25 10:17:45 2026  GCD is 1, no factor found
Wed Mar 25 10:17:45 2026  reading relations for dependency 2
Wed Mar 25 10:17:46 2026  read 1690998 cycles
Wed Mar 25 10:17:49 2026  cycles contain 6366854 unique relations
Wed Mar 25 10:18:03 2026  read 6366854 relations
Wed Mar 25 10:18:33 2026  multiplying 6366854 relations
Wed Mar 25 10:19:11 2026  multiply complete, coefficients have about 317.41 million bits
Wed Mar 25 10:19:12 2026  initial square root is modulo 495947
Wed Mar 25 10:20:50 2026  sqrtTime: 464
Wed Mar 25 10:20:50 2026  p72 factor: 466625430429905078508778376428198236387638295174982000596962439318357511
Wed Mar 25 10:20:50 2026  p85 factor: 2866841110412538928992831124667987992687877094415847157133881132559961049859125776023
Wed Mar 25 10:20:50 2026  elapsed time 00:25:02