Thu Aug 20 12:54:18 2026
Thu Aug 20 12:54:18 2026
Thu Aug 20 12:54:18 2026  Msieve v. 1.54 (SVN unknown)
Thu Aug 20 12:54:18 2026  random seeds: f0b81c5a d5a4f0c0
Thu Aug 20 12:54:18 2026  Using 8 OpenMP threads
Thu Aug 20 12:54:18 2026  factoring 11929529473658748661258619699223880004328412025074328537159319868068244070444276625794246322910922696826367679162738652361624980535811736760094314077338066193994634335382606119878334991402145900974894581671653076472422575838911878154593625796931245419527209880193 (263 digits)
Thu Aug 20 12:54:18 2026  no P-1/P+1/ECM available, skipping
Thu Aug 20 12:54:18 2026  commencing number field sieve (263-digit input)
Thu Aug 20 12:54:18 2026  R0: 157936836645516168838201626444501705760018922
Thu Aug 20 12:54:18 2026  R1: -12567292335484050831661
Thu Aug 20 12:54:18 2026  A0: -1
Thu Aug 20 12:54:18 2026  A1: 3
Thu Aug 20 12:54:18 2026  A2: 6
Thu Aug 20 12:54:18 2026  A3: -4
Thu Aug 20 12:54:18 2026  A4: -5
Thu Aug 20 12:54:18 2026  A5: 1
Thu Aug 20 12:54:18 2026  A6: 1
Thu Aug 20 12:54:18 2026  skew 1.38, size 5.304e-13, alpha 3.126, combined = 7.018e-14 rroots = 6
Thu Aug 20 12:54:18 2026
Thu Aug 20 12:54:18 2026  commencing relation filtering
Thu Aug 20 12:54:18 2026  setting 3 target densities:Thu Aug 20 12:54:18 2026   90Thu Aug 20 12:54:18 2026   110Thu Aug 20 12:54:18 2026   130Thu Aug 20 12:54:18 2026
Thu Aug 20 12:54:18 2026  estimated available RAM is 78540.1 MB
Thu Aug 20 12:54:18 2026  commencing duplicate removal, pass 1
Thu Aug 20 12:54:24 2026  error -6 reading relation 3808588
Thu Aug 20 12:54:46 2026  error -6 reading relation 20453684
Thu Aug 20 12:54:50 2026  error -6 reading relation 25627026
Thu Aug 20 12:54:56 2026  error -6 reading relation 31725058
Thu Aug 20 12:56:07 2026  error -6 reading relation 99793563
Thu Aug 20 12:58:15 2026  error -6 reading relation 223996640
Thu Aug 20 13:00:20 2026  skipped 768 relations with b > 2^32
Thu Aug 20 13:00:20 2026  found 72607423 hash collisions in 337541638 relations
Thu Aug 20 13:00:23 2026  added 2438358 free relations
Thu Aug 20 13:00:23 2026  commencing duplicate removal, pass 2
Thu Aug 20 13:02:29 2026  found 80764964 duplicates and 259215032 unique relations
Thu Aug 20 13:02:29 2026  memory use: 1705.5 MB
Thu Aug 20 13:02:29 2026  reading ideals above 189988864
Thu Aug 20 13:02:29 2026  commencing singleton removal, initial pass
Thu Aug 20 13:11:42 2026  memory use: 6024.0 MB
Thu Aug 20 13:11:43 2026  reading all ideals from disk
Thu Aug 20 13:11:51 2026  memory use: 6720.4 MB
Thu Aug 20 13:12:38 2026  commencing in-memory singleton removal
Thu Aug 20 13:12:40 2026  begin with 259215032 relations and 228856545 unique ideals
Thu Aug 20 13:13:00 2026  reduce to 158341426 relations and 117312397 ideals in 15 passes
Thu Aug 20 13:13:00 2026  max relations containing the same ideal: 34
Thu Aug 20 13:13:04 2026  reading ideals above 720000
Thu Aug 20 13:13:04 2026  commencing singleton removal, initial pass
Thu Aug 20 13:20:30 2026  memory use: 3012.0 MB
Thu Aug 20 13:20:30 2026  reading all ideals from disk
Thu Aug 20 13:20:44 2026  memory use: 7800.8 MB
Thu Aug 20 13:21:12 2026  keeping 137604874 ideals with weight <= 200, target excess is 815674
Thu Aug 20 13:21:23 2026  commencing in-memory singleton removal
Thu Aug 20 13:21:25 2026  begin with 158341426 relations and 137604874 unique ideals
Thu Aug 20 13:21:34 2026  reduce to 158338549 relations and 137601997 ideals in 7 passes
Thu Aug 20 13:21:34 2026  max relations containing the same ideal: 200
Thu Aug 20 13:22:29 2026  removing 13150072 relations and 11150072 ideals in 2000000 cliques
Thu Aug 20 13:22:32 2026  commencing in-memory singleton removal
Thu Aug 20 13:22:34 2026  begin with 145188477 relations and 137601997 unique ideals
Thu Aug 20 13:22:46 2026  reduce to 144273812 relations and 125521845 ideals in 9 passes
Thu Aug 20 13:22:46 2026  max relations containing the same ideal: 196
Thu Aug 20 13:23:26 2026  removing 10056681 relations and 8056681 ideals in 2000000 cliques
Thu Aug 20 13:23:29 2026  commencing in-memory singleton removal
Thu Aug 20 13:23:31 2026  begin with 134217131 relations and 125521845 unique ideals
Thu Aug 20 13:23:39 2026  reduce to 133609057 relations and 116848134 ideals in 9 passes
Thu Aug 20 13:23:39 2026  max relations containing the same ideal: 189
Thu Aug 20 13:24:12 2026  removing 9121084 relations and 7121084 ideals in 2000000 cliques
Thu Aug 20 13:24:15 2026  commencing in-memory singleton removal
Thu Aug 20 13:24:17 2026  begin with 124487973 relations and 116848134 unique ideals
Thu Aug 20 13:24:26 2026  reduce to 123945650 relations and 109176598 ideals in 8 passes
Thu Aug 20 13:24:26 2026  max relations containing the same ideal: 181
Thu Aug 20 13:24:56 2026  removing 8643736 relations and 6643736 ideals in 2000000 cliques
Thu Aug 20 13:24:59 2026  commencing in-memory singleton removal
Thu Aug 20 13:25:00 2026  begin with 115301914 relations and 109176598 unique ideals
Thu Aug 20 13:25:06 2026  reduce to 114779730 relations and 102002679 ideals in 8 passes
Thu Aug 20 13:25:06 2026  max relations containing the same ideal: 173
Thu Aug 20 13:25:35 2026  removing 8363156 relations and 6363156 ideals in 2000000 cliques
Thu Aug 20 13:25:38 2026  commencing in-memory singleton removal
Thu Aug 20 13:25:39 2026  begin with 106416574 relations and 102002679 unique ideals
Thu Aug 20 13:25:45 2026  reduce to 105895283 relations and 95110010 ideals in 7 passes
Thu Aug 20 13:25:45 2026  max relations containing the same ideal: 164
Thu Aug 20 13:26:13 2026  removing 8186426 relations and 6186426 ideals in 2000000 cliques
Thu Aug 20 13:26:15 2026  commencing in-memory singleton removal
Thu Aug 20 13:26:17 2026  begin with 97708857 relations and 95110010 unique ideals
Thu Aug 20 13:26:26 2026  reduce to 97170429 relations and 88376116 ideals in 7 passes
Thu Aug 20 13:26:26 2026  max relations containing the same ideal: 155
Thu Aug 20 13:26:56 2026  removing 8085644 relations and 6085644 ideals in 2000000 cliques
Thu Aug 20 13:26:59 2026  commencing in-memory singleton removal
Thu Aug 20 13:27:00 2026  begin with 89084785 relations and 88376116 unique ideals
Thu Aug 20 13:27:09 2026  reduce to 88517596 relations and 81713030 ideals in 9 passes
Thu Aug 20 13:27:09 2026  max relations containing the same ideal: 148
Thu Aug 20 13:27:37 2026  removing 8042601 relations and 6042601 ideals in 2000000 cliques
Thu Aug 20 13:27:39 2026  commencing in-memory singleton removal
Thu Aug 20 13:27:41 2026  begin with 80474995 relations and 81713030 unique ideals
Thu Aug 20 13:27:51 2026  reduce to 79863393 relations and 75046695 ideals in 10 passes
Thu Aug 20 13:27:51 2026  max relations containing the same ideal: 136
Thu Aug 20 13:28:16 2026  removing 8037535 relations and 6037535 ideals in 2000000 cliques
Thu Aug 20 13:28:18 2026  commencing in-memory singleton removal
Thu Aug 20 13:28:19 2026  begin with 71825858 relations and 75046695 unique ideals
Thu Aug 20 13:28:27 2026  reduce to 71148645 relations and 68317126 ideals in 9 passes
Thu Aug 20 13:28:27 2026  max relations containing the same ideal: 127
Thu Aug 20 13:28:51 2026  removing 7716135 relations and 5830798 ideals in 1885337 cliques
Thu Aug 20 13:28:53 2026  commencing in-memory singleton removal
Thu Aug 20 13:28:54 2026  begin with 63432510 relations and 68317126 unique ideals
Thu Aug 20 13:28:59 2026  reduce to 62732042 relations and 61769353 ideals in 9 passes
Thu Aug 20 13:28:59 2026  max relations containing the same ideal: 115
Thu Aug 20 13:29:21 2026  removing 149168 relations and 132661 ideals in 16507 cliques
Thu Aug 20 13:29:22 2026  commencing in-memory singleton removal
Thu Aug 20 13:29:23 2026  begin with 62582874 relations and 61769353 unique ideals
Thu Aug 20 13:29:27 2026  reduce to 62582660 relations and 61636478 ideals in 5 passes
Thu Aug 20 13:29:27 2026  max relations containing the same ideal: 115
Thu Aug 20 13:29:29 2026  trying target density 90
Thu Aug 20 13:29:33 2026  relations with 0 large ideals: 59894
Thu Aug 20 13:29:33 2026  relations with 1 large ideals: 6802
Thu Aug 20 13:29:33 2026  relations with 2 large ideals: 84145
Thu Aug 20 13:29:33 2026  relations with 3 large ideals: 679033
Thu Aug 20 13:29:33 2026  relations with 4 large ideals: 3056158
Thu Aug 20 13:29:33 2026  relations with 5 large ideals: 8356713
Thu Aug 20 13:29:33 2026  relations with 6 large ideals: 14467853
Thu Aug 20 13:29:33 2026  relations with 7+ large ideals: 35872062
Thu Aug 20 13:29:33 2026  commencing 2-way merge
Thu Aug 20 13:30:06 2026  reduce to 40017967 relation sets and 39071785 unique ideals
Thu Aug 20 13:30:06 2026  commencing full merge
Thu Aug 20 13:41:08 2026  memory use: 5248.7 MB
Thu Aug 20 13:41:12 2026  found 19771159 cycles, need 19665985
Thu Aug 20 13:41:22 2026  weight of 19665985 cycles is about 1770408099 (90.02/cycle)
Thu Aug 20 13:41:22 2026  distribution of cycle lengths:
Thu Aug 20 13:41:22 2026  1 relations: 2161736
Thu Aug 20 13:41:22 2026  2 relations: 1975173
Thu Aug 20 13:41:22 2026  3 relations: 1868590
Thu Aug 20 13:41:22 2026  4 relations: 1763650
Thu Aug 20 13:41:22 2026  5 relations: 1656295
Thu Aug 20 13:41:22 2026  6 relations: 1552299
Thu Aug 20 13:41:22 2026  7 relations: 1420637
Thu Aug 20 13:41:22 2026  8 relations: 1276117
Thu Aug 20 13:41:22 2026  9 relations: 1127718
Thu Aug 20 13:41:22 2026  10+ relations: 4863770
Thu Aug 20 13:41:22 2026  heaviest cycle: 28 relations
Thu Aug 20 13:41:24 2026  commencing cycle optimization
Thu Aug 20 13:41:54 2026  start with 131126964 relations
Thu Aug 20 13:45:03 2026  pruned 4229610 relations
Thu Aug 20 13:45:03 2026  memory use: 3917.8 MB
Thu Aug 20 13:45:03 2026  distribution of cycle lengths:
Thu Aug 20 13:45:03 2026  1 relations: 2161736
Thu Aug 20 13:45:03 2026  2 relations: 2012594
Thu Aug 20 13:45:03 2026  3 relations: 1931620
Thu Aug 20 13:45:03 2026  4 relations: 1817091
Thu Aug 20 13:45:03 2026  5 relations: 1716483
Thu Aug 20 13:45:03 2026  6 relations: 1599511
Thu Aug 20 13:45:03 2026  7 relations: 1463570
Thu Aug 20 13:45:03 2026  8 relations: 1304306
Thu Aug 20 13:45:03 2026  9 relations: 1145915
Thu Aug 20 13:45:03 2026  10+ relations: 4513159
Thu Aug 20 13:45:03 2026  heaviest cycle: 27 relations
Thu Aug 20 13:45:31 2026  trying target density 110
Thu Aug 20 13:45:37 2026  relations with 0 large ideals: 59894
Thu Aug 20 13:45:37 2026  relations with 1 large ideals: 6802
Thu Aug 20 13:45:37 2026  relations with 2 large ideals: 84145
Thu Aug 20 13:45:37 2026  relations with 3 large ideals: 679033
Thu Aug 20 13:45:37 2026  relations with 4 large ideals: 3056158
Thu Aug 20 13:45:37 2026  relations with 5 large ideals: 8356713
Thu Aug 20 13:45:37 2026  relations with 6 large ideals: 14467853
Thu Aug 20 13:45:37 2026  relations with 7+ large ideals: 35872062
Thu Aug 20 13:45:37 2026  commencing 2-way merge
Thu Aug 20 13:46:19 2026  reduce to 40017967 relation sets and 39071785 unique ideals
Thu Aug 20 13:46:19 2026  commencing full merge
Thu Aug 20 14:15:39 2026  memory use: 1805.2 MB
Thu Aug 20 14:15:39 2026  found 167245 cycles, need 8426374
Thu Aug 20 14:15:39 2026  too few cycles, matrix probably cannot build
Thu Aug 20 14:15:40 2026  RelProcTime: 4882
Thu Aug 20 14:15:40 2026
Thu Aug 20 14:15:40 2026  commencing linear algebra
Thu Aug 20 14:15:40 2026  using VBITS=256
Thu Aug 20 14:15:40 2026  building matrices for all densities
Thu Aug 20 14:15:40 2026  found 1 density files
Thu Aug 20 14:15:40 2026  building matrix for density 90
Thu Aug 20 14:15:42 2026  read 19665985 cycles
Thu Aug 20 14:16:04 2026  cycles contain 61925208 unique relations
Thu Aug 20 14:16:44 2026  read 61925208 relations
Thu Aug 20 14:17:00 2026  using 20 quadratic characters above 4294917295
Thu Aug 20 14:17:19 2026  building initial matrix
Thu Aug 20 14:23:56 2026  memory use: 7521.8 MB
Thu Aug 20 14:24:01 2026  read 19665985 cycles
Thu Aug 20 14:24:01 2026  matrix is 19665806 x 19665985 (7203.0 MB) with weight 2043802645 (103.93/col)
Thu Aug 20 14:24:01 2026  sparse part has weight 1691561169 (86.01/col)
Thu Aug 20 14:26:09 2026  filtering completed in 2 passes
Thu Aug 20 14:26:13 2026  matrix is 19662843 x 19663008 (7202.8 MB) with weight 2043722066 (103.94/col)
Thu Aug 20 14:26:13 2026  sparse part has weight 1691533531 (86.03/col)
Thu Aug 20 14:26:45 2026  BLanczosTime: 665
Thu Aug 20 14:26:45 2026  elapsed time 01:32:27
Thu Aug 20 20:37:13 2026
Thu Aug 20 20:37:13 2026
Thu Aug 20 20:37:13 2026  Msieve v. 1.54 (SVN unknown)
Thu Aug 20 20:37:13 2026  random seeds: 3136ac03 d305237b
Thu Aug 20 20:37:13 2026  factoring 11929529473658748661258619699223880004328412025074328537159319868068244070444276625794246322910922696826367679162738652361624980535811736760094314077338066193994634335382606119878334991402145900974894581671653076472422575838911878154593625796931245419527209880193 (263 digits)
Thu Aug 20 20:37:15 2026  no P-1/P+1/ECM available, skipping
Thu Aug 20 20:37:15 2026  commencing number field sieve (263-digit input)
Thu Aug 20 20:37:15 2026  R0: 157936836645516168838201626444501705760018922
Thu Aug 20 20:37:15 2026  R1: -12567292335484050831661
Thu Aug 20 20:37:15 2026  A0: -1
Thu Aug 20 20:37:15 2026  A1: 3
Thu Aug 20 20:37:15 2026  A2: 6
Thu Aug 20 20:37:15 2026  A3: -4
Thu Aug 20 20:37:15 2026  A4: -5
Thu Aug 20 20:37:15 2026  A5: 1
Thu Aug 20 20:37:15 2026  A6: 1
Thu Aug 20 20:37:15 2026  skew 1.38, size 5.304e-13, alpha 3.126, combined = 7.018e-14 rroots = 6
Thu Aug 20 20:37:15 2026
Thu Aug 20 20:37:15 2026  commencing linear algebra
Thu Aug 20 20:37:15 2026  using VBITS=256
Thu Aug 20 20:37:15 2026  skipping matrix build
Thu Aug 20 20:37:34 2026  matrix starts at (0, 0)
Thu Aug 20 20:37:37 2026  matrix is 19662843 x 19663008 (7202.8 MB) with weight 2043722066 (103.94/col)
Thu Aug 20 20:37:37 2026  sparse part has weight 1691533531 (86.03/col)
Thu Aug 20 20:37:37 2026  saving the first 240 matrix rows for later
Thu Aug 20 20:37:43 2026  matrix includes 256 packed rows
Thu Aug 20 20:37:48 2026  matrix is 19662603 x 19663008 (6807.9 MB) with weight 1543205674 (78.48/col)
Thu Aug 20 20:37:48 2026  sparse part has weight 1470052145 (74.76/col)
Thu Aug 20 20:37:49 2026  using GPU 0 (NVIDIA GeForce RTX 5090)
Thu Aug 20 20:37:49 2026  selected card has CUDA arch 12.0
Thu Aug 20 20:37:49 2026  computed block_nnz 128000000 (L2 cache 100663296 bytes, average column weight 74.8)
Thu Aug 20 20:37:49 2026  nonzeros per matrix block: 256000000
Thu Aug 20 20:41:50 2026  commencing Lanczos iteration
Thu Aug 20 20:41:51 2026  memory use: 16916.2 MB
Thu Aug 20 20:42:07 2026  linear algebra at 0.2%, ETA 2h40m
Thu Aug 20 20:42:29 2026  checking every 120000 dimensions, checkpointing every 7560000 dimensions
Thu Aug 20 23:19:03 2026  lanczos halted after 77039 iterations (dim = 19662603)
Thu Aug 20 23:20:40 2026  recovered 34 nontrivial dependencies
Thu Aug 20 23:20:41 2026  BLanczosTime: 9806
Thu Aug 20 23:20:41 2026  elapsed time 02:43:28
Thu Aug 20 19:39:59 2026
Thu Aug 20 19:39:59 2026
Thu Aug 20 19:39:59 2026  Msieve v. 1.54 (SVN unknown)
Thu Aug 20 19:39:59 2026  random seeds: faed05ab 94101a73
Thu Aug 20 19:39:59 2026  Using 14 OpenMP threads
Thu Aug 20 19:39:59 2026  factoring 11929529473658748661258619699223880004328412025074328537159319868068244070444276625794246322910922696826367679162738652361624980535811736760094314077338066193994634335382606119878334991402145900974894581671653076472422575838911878154593625796931245419527209880193 (263 digits)
Thu Aug 20 19:40:00 2026  no P-1/P+1/ECM available, skipping
Thu Aug 20 19:40:00 2026  commencing number field sieve (263-digit input)
Thu Aug 20 19:40:00 2026  R0: 157936836645516168838201626444501705760018922
Thu Aug 20 19:40:00 2026  R1: -12567292335484050831661
Thu Aug 20 19:40:00 2026  A0: -1
Thu Aug 20 19:40:00 2026  A1: 3
Thu Aug 20 19:40:00 2026  A2: 6
Thu Aug 20 19:40:00 2026  A3: -4
Thu Aug 20 19:40:00 2026  A4: -5
Thu Aug 20 19:40:00 2026  A5: 1
Thu Aug 20 19:40:00 2026  A6: 1
Thu Aug 20 19:40:00 2026  skew 1.38, size 5.304e-13, alpha 3.126, combined = 7.018e-14 rroots = 6
Thu Aug 20 19:40:00 2026
Thu Aug 20 19:40:00 2026  commencing square root phase
Thu Aug 20 19:40:00 2026  reading relations for dependency 1
Thu Aug 20 19:40:01 2026  read 9828220 cycles
Thu Aug 20 19:40:11 2026  cycles contain 30960834 unique relations
Thu Aug 20 19:43:46 2026  read 30960834 relations
Thu Aug 20 19:44:55 2026  multiplying 30960834 relations
Thu Aug 20 19:46:23 2026  multiply complete, coefficients have about 806.26 million bits
Thu Aug 20 19:46:25 2026  initial square root is modulo 17114281
Thu Aug 20 19:49:02 2026  sqrtTime: 542
Thu Aug 20 19:49:02 2026  p117 factor: 609385655652751752018726426365096185076781668231864195477258217283914391537218309699246995623188288681529929220877983
Thu Aug 20 19:49:02 2026  p146 factor: 19576321436185219269244148982874277759099674677973146871762940571836856410178153947823373763323444059057131916525540101289547125910390290031579871
Thu Aug 20 19:49:02 2026  elapsed time 00:09:03