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- Tue Aug 19 16:35:24 2025
- Tue Aug 19 16:35:24 2025
- Tue Aug 19 16:35:24 2025 Msieve v. 1.54 (SVN Unversioned directory)
- Tue Aug 19 16:35:24 2025 random seeds: eacd8b68 66d545ec
- Tue Aug 19 16:35:24 2025 factoring 165962521700857679936052339599399070869717652950025672714320900470115119709026232851173455519507976056552692877235630989108923096927099787955104690578459472337040176832942859294021693 (183 digits)
- Tue Aug 19 16:35:26 2025 searching for 15-digit factors
- Tue Aug 19 16:35:27 2025 commencing number field sieve (183-digit input)
- Tue Aug 19 16:35:27 2025 R0: 1685676153118868380679051120501448289
- Tue Aug 19 16:35:27 2025 R1: -1
- Tue Aug 19 16:35:27 2025 A0: -1
- Tue Aug 19 16:35:27 2025 A1: 0
- Tue Aug 19 16:35:27 2025 A2: 0
- Tue Aug 19 16:35:27 2025 A3: 0
- Tue Aug 19 16:35:27 2025 A4: 0
- Tue Aug 19 16:35:27 2025 A5: 0
- Tue Aug 19 16:35:27 2025 A6: 1090927
- Tue Aug 19 16:35:27 2025 skew 0.10, size 1.238e-11, alpha 1.558, combined = 7.650e-13 rroots = 2
- Tue Aug 19 16:35:27 2025
- Tue Aug 19 16:35:27 2025 commencing relation filtering
- Tue Aug 19 16:35:27 2025 setting target matrix density to 120.0
- Tue Aug 19 16:35:27 2025 estimated available RAM is 15938.6 MB
- Tue Aug 19 16:35:27 2025 commencing duplicate removal, pass 1
- Tue Aug 19 16:41:49 2025 error -15 reading relation 36879954
- Tue Aug 19 16:48:06 2025 error -11 reading relation 73457488
- Tue Aug 19 16:52:28 2025 skipped 554 relations with b > 2^32
- Tue Aug 19 16:52:28 2025 found 4432421 hash collisions in 100593097 relations
- Tue Aug 19 16:53:01 2025 added 1218437 free relations
- Tue Aug 19 16:53:01 2025 commencing duplicate removal, pass 2
- Tue Aug 19 16:53:59 2025 found 0 duplicates and 101811534 unique relations
- Tue Aug 19 16:53:59 2025 memory use: 261.2 MB
- Tue Aug 19 16:54:00 2025 reading ideals above 67043328
- Tue Aug 19 16:54:00 2025 commencing singleton removal, initial pass
- Tue Aug 19 17:07:52 2025 memory use: 2756.0 MB
- Tue Aug 19 17:07:52 2025 reading all ideals from disk
- Tue Aug 19 17:07:56 2025 memory use: 1958.3 MB
- Tue Aug 19 17:08:04 2025 commencing in-memory singleton removal
- Tue Aug 19 17:08:12 2025 begin with 101811534 relations and 84908560 unique ideals
- Tue Aug 19 17:09:26 2025 reduce to 68585584 relations and 48475627 ideals in 14 passes
- Tue Aug 19 17:09:26 2025 max relations containing the same ideal: 41
- Tue Aug 19 17:09:33 2025 reading ideals above 720000
- Tue Aug 19 17:09:34 2025 commencing singleton removal, initial pass
- Tue Aug 19 17:23:26 2025 memory use: 1506.0 MB
- Tue Aug 19 17:23:26 2025 reading all ideals from disk
- Tue Aug 19 17:23:34 2025 memory use: 2608.3 MB
- Tue Aug 19 17:23:49 2025 keeping 56026459 ideals with weight <= 200, target excess is 357398
- Tue Aug 19 17:24:06 2025 commencing in-memory singleton removal
- Tue Aug 19 17:24:19 2025 begin with 68585584 relations and 56026459 unique ideals
- Tue Aug 19 17:25:26 2025 reduce to 68585560 relations and 56026435 ideals in 5 passes
- Tue Aug 19 17:25:26 2025 max relations containing the same ideal: 200
- Tue Aug 19 17:26:34 2025 removing 8843240 relations and 6843240 ideals in 2000000 cliques
- Tue Aug 19 17:26:39 2025 commencing in-memory singleton removal
- Tue Aug 19 17:26:51 2025 begin with 59742320 relations and 56026435 unique ideals
- Tue Aug 19 17:28:29 2025 reduce to 58769383 relations and 48173635 ideals in 8 passes
- Tue Aug 19 17:28:29 2025 max relations containing the same ideal: 193
- Tue Aug 19 17:29:30 2025 removing 7083114 relations and 5083114 ideals in 2000000 cliques
- Tue Aug 19 17:29:34 2025 commencing in-memory singleton removal
- Tue Aug 19 17:29:44 2025 begin with 51686269 relations and 48173635 unique ideals
- Tue Aug 19 17:31:02 2025 reduce to 51000235 relations and 42380901 ideals in 8 passes
- Tue Aug 19 17:31:02 2025 max relations containing the same ideal: 175
- Tue Aug 19 17:31:51 2025 removing 6569291 relations and 4569291 ideals in 2000000 cliques
- Tue Aug 19 17:31:55 2025 commencing in-memory singleton removal
- Tue Aug 19 17:32:04 2025 begin with 44430944 relations and 42380901 unique ideals
- Tue Aug 19 17:33:11 2025 reduce to 43799283 relations and 37156537 ideals in 8 passes
- Tue Aug 19 17:33:11 2025 max relations containing the same ideal: 162
- Tue Aug 19 17:33:55 2025 removing 6301630 relations and 4301630 ideals in 2000000 cliques
- Tue Aug 19 17:33:58 2025 commencing in-memory singleton removal
- Tue Aug 19 17:34:05 2025 begin with 37497653 relations and 37156537 unique ideals
- Tue Aug 19 17:34:59 2025 reduce to 36864449 relations and 32195467 ideals in 8 passes
- Tue Aug 19 17:34:59 2025 max relations containing the same ideal: 144
- Tue Aug 19 17:35:35 2025 removing 6127171 relations and 4127171 ideals in 2000000 cliques
- Tue Aug 19 17:35:39 2025 commencing in-memory singleton removal
- Tue Aug 19 17:35:44 2025 begin with 30737278 relations and 32195467 unique ideals
- Tue Aug 19 17:36:26 2025 reduce to 30065991 relations and 27364765 ideals in 8 passes
- Tue Aug 19 17:36:26 2025 max relations containing the same ideal: 128
- Tue Aug 19 17:36:56 2025 removing 5995512 relations and 3995512 ideals in 2000000 cliques
- Tue Aug 19 17:37:00 2025 commencing in-memory singleton removal
- Tue Aug 19 17:37:04 2025 begin with 24070479 relations and 27364765 unique ideals
- Tue Aug 19 17:37:37 2025 reduce to 23298885 relations and 22552551 ideals in 8 passes
- Tue Aug 19 17:37:37 2025 max relations containing the same ideal: 109
- Tue Aug 19 17:38:00 2025 removing 1412817 relations and 1081065 ideals in 331752 cliques
- Tue Aug 19 17:38:02 2025 commencing in-memory singleton removal
- Tue Aug 19 17:38:06 2025 begin with 21886068 relations and 22552551 unique ideals
- Tue Aug 19 17:38:29 2025 reduce to 21824440 relations and 21409057 ideals in 6 passes
- Tue Aug 19 17:38:29 2025 max relations containing the same ideal: 106
- Tue Aug 19 17:38:57 2025 relations with 0 large ideals: 12460
- Tue Aug 19 17:38:57 2025 relations with 1 large ideals: 5925
- Tue Aug 19 17:38:57 2025 relations with 2 large ideals: 46614
- Tue Aug 19 17:38:57 2025 relations with 3 large ideals: 351915
- Tue Aug 19 17:38:57 2025 relations with 4 large ideals: 1453179
- Tue Aug 19 17:38:57 2025 relations with 5 large ideals: 3593486
- Tue Aug 19 17:38:57 2025 relations with 6 large ideals: 5553078
- Tue Aug 19 17:38:57 2025 relations with 7+ large ideals: 10807783
- Tue Aug 19 17:38:57 2025 commencing 2-way merge
- Tue Aug 19 17:39:24 2025 reduce to 14868512 relation sets and 14453129 unique ideals
- Tue Aug 19 17:39:24 2025 commencing full merge
- Tue Aug 19 17:50:35 2025 memory use: 1934.3 MB
- Tue Aug 19 17:50:38 2025 found 6656569 cycles, need 6647329
- Tue Aug 19 17:50:42 2025 weight of 6647329 cycles is about 797972244 (120.04/cycle)
- Tue Aug 19 17:50:42 2025 distribution of cycle lengths:
- Tue Aug 19 17:50:42 2025 1 relations: 203433
- Tue Aug 19 17:50:42 2025 2 relations: 358987
- Tue Aug 19 17:50:42 2025 3 relations: 450805
- Tue Aug 19 17:50:42 2025 4 relations: 486040
- Tue Aug 19 17:50:42 2025 5 relations: 505654
- Tue Aug 19 17:50:42 2025 6 relations: 505824
- Tue Aug 19 17:50:42 2025 7 relations: 495137
- Tue Aug 19 17:50:42 2025 8 relations: 473439
- Tue Aug 19 17:50:42 2025 9 relations: 442745
- Tue Aug 19 17:50:42 2025 10+ relations: 2725265
- Tue Aug 19 17:50:42 2025 heaviest cycle: 28 relations
- Tue Aug 19 17:50:45 2025 commencing cycle optimization
- Tue Aug 19 17:51:16 2025 start with 60394577 relations
- Tue Aug 19 17:55:48 2025 pruned 3043818 relations
- Tue Aug 19 17:55:48 2025 memory use: 1534.9 MB
- Tue Aug 19 17:55:48 2025 distribution of cycle lengths:
- Tue Aug 19 17:55:48 2025 1 relations: 203433
- Tue Aug 19 17:55:48 2025 2 relations: 369150
- Tue Aug 19 17:55:48 2025 3 relations: 472092
- Tue Aug 19 17:55:48 2025 4 relations: 508817
- Tue Aug 19 17:55:48 2025 5 relations: 534718
- Tue Aug 19 17:55:48 2025 6 relations: 533253
- Tue Aug 19 17:55:48 2025 7 relations: 524598
- Tue Aug 19 17:55:48 2025 8 relations: 498409
- Tue Aug 19 17:55:48 2025 9 relations: 464811
- Tue Aug 19 17:55:48 2025 10+ relations: 2538048
- Tue Aug 19 17:55:48 2025 heaviest cycle: 28 relations
- Tue Aug 19 17:56:12 2025 RelProcTime: 4845
- Tue Aug 19 17:56:12 2025
- Tue Aug 19 17:56:12 2025 commencing linear algebra
- Tue Aug 19 17:56:12 2025 using VBITS=512
- Tue Aug 19 17:56:13 2025 read 6647329 cycles
- Tue Aug 19 17:56:39 2025 cycles contain 21613553 unique relations
- Tue Aug 19 17:59:10 2025 read 21613553 relations
- Tue Aug 19 18:00:16 2025 using 20 quadratic characters above 4294917295
- Tue Aug 19 18:02:35 2025 building initial matrix
- Tue Aug 19 18:13:40 2025 memory use: 2724.0 MB
- Tue Aug 19 18:13:45 2025 read 6647329 cycles
- Tue Aug 19 18:13:46 2025 matrix is 6647152 x 6647329 (3100.8 MB) with weight 883099620 (132.85/col)
- Tue Aug 19 18:13:46 2025 sparse part has weight 739744141 (111.28/col)
- Tue Aug 19 18:15:43 2025 filtering completed in 2 passes
- Tue Aug 19 18:15:44 2025 matrix is 6647115 x 6647278 (3100.8 MB) with weight 883098312 (132.85/col)
- Tue Aug 19 18:15:44 2025 sparse part has weight 739743755 (111.29/col)
- Tue Aug 19 18:16:18 2025 matrix starts at (0, 0)
- Tue Aug 19 18:16:19 2025 matrix is 6647115 x 6647278 (3100.8 MB) with weight 883098312 (132.85/col)
- Tue Aug 19 18:16:19 2025 sparse part has weight 739743755 (111.29/col)
- Tue Aug 19 18:16:19 2025 saving the first 496 matrix rows for later
- Tue Aug 19 18:16:23 2025 matrix includes 512 packed rows
- Tue Aug 19 18:16:34 2025 matrix is 6646619 x 6647278 (2910.4 MB) with weight 638729851 (96.09/col)
- Tue Aug 19 18:16:34 2025 sparse part has weight 603418355 (90.78/col)
- Tue Aug 19 18:32:51 2025
- Tue Aug 19 18:32:51 2025
- Tue Aug 19 18:32:51 2025 Msieve v. 1.54 (SVN unknown)
- Tue Aug 19 18:32:51 2025 random seeds: 0f50a3cb 35a01e3e
- Tue Aug 19 18:32:51 2025 factoring 37167350338372935011073756876251480619415640396386443866407133135877696179201748428884509024714804127117386635259318723757339255643661678933944731262541999459508964509815979261531303105256758234918924621 (203 digits)
- Tue Aug 19 18:32:52 2025 no P-1/P+1/ECM available, skipping
- Tue Aug 19 18:32:52 2025 commencing number field sieve (203-digit input)
- Tue Aug 19 18:32:52 2025 warning: NFS input not found in factor base file
- Tue Aug 19 18:32:52 2025 R0: 0
- Tue Aug 19 18:32:52 2025 A0: 0
- Tue Aug 19 18:32:52 2025 skew 1.00, size 0.000e+00, alpha 0.000, combined = 0.000e+00 rroots = 0
- Tue Aug 19 18:32:52 2025
- Tue Aug 19 18:32:52 2025 commencing linear algebra
- Tue Aug 19 18:32:52 2025 using VBITS=512
- Tue Aug 19 18:32:52 2025 skipping matrix build
- Tue Aug 19 18:33:00 2025 matrix starts at (0, 0)
- Tue Aug 19 18:33:01 2025 matrix is 6647115 x 6647278 (3100.8 MB) with weight 883098312 (132.85/col)
- Tue Aug 19 18:33:01 2025 sparse part has weight 739743755 (111.29/col)
- Tue Aug 19 18:33:01 2025 saving the first 496 matrix rows for later
- Tue Aug 19 18:33:04 2025 matrix includes 512 packed rows
- Tue Aug 19 18:33:09 2025 matrix is 6646619 x 6647278 (2910.4 MB) with weight 638729851 (96.09/col)
- Tue Aug 19 18:33:09 2025 sparse part has weight 603418355 (90.78/col)
- Tue Aug 19 18:33:10 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
- Tue Aug 19 18:33:10 2025 selected card has CUDA arch 8.6
- Tue Aug 19 18:34:13 2025 commencing Lanczos iteration
- Tue Aug 19 18:34:14 2025 memory use: 7950.9 MB
- Tue Aug 19 18:34:38 2025 linear algebra at 0.2%, ETA 2h52m
- Tue Aug 19 18:34:39 2025 checkpointing every 2290000 dimensions
- Tue Aug 19 21:49:13 2025 lanczos halted after 13003 iterations (dim = 6646616)
- Tue Aug 19 21:50:59 2025 recovered 32 nontrivial dependencies
- Tue Aug 19 21:51:00 2025 BLanczosTime: 11888
- Tue Aug 19 21:51:00 2025 elapsed time 03:18:09
- Tue Aug 19 22:36:56 2025
- Tue Aug 19 22:36:56 2025
- Tue Aug 19 22:36:56 2025 Msieve v. 1.54 (SVN Unversioned directory)
- Tue Aug 19 22:36:56 2025 random seeds: 858ffa70 93d21b5e
- Tue Aug 19 22:36:56 2025 factoring 165962521700857679936052339599399070869717652950025672714320900470115119709026232851173455519507976056552692877235630989108923096927099787955104690578459472337040176832942859294021693 (183 digits)
- Tue Aug 19 22:36:58 2025 searching for 15-digit factors
- Tue Aug 19 22:36:58 2025 commencing number field sieve (183-digit input)
- Tue Aug 19 22:36:58 2025 R0: 1685676153118868380679051120501448289
- Tue Aug 19 22:36:58 2025 R1: -1
- Tue Aug 19 22:36:58 2025 A0: -1
- Tue Aug 19 22:36:58 2025 A1: 0
- Tue Aug 19 22:36:58 2025 A2: 0
- Tue Aug 19 22:36:58 2025 A3: 0
- Tue Aug 19 22:36:58 2025 A4: 0
- Tue Aug 19 22:36:58 2025 A5: 0
- Tue Aug 19 22:36:58 2025 A6: 1090927
- Tue Aug 19 22:36:58 2025 skew 0.10, size 1.238e-11, alpha 1.558, combined = 7.650e-13 rroots = 2
- Tue Aug 19 22:36:58 2025
- Tue Aug 19 22:36:58 2025 commencing square root phase
- Tue Aug 19 22:36:58 2025 reading relations for dependency 1
- Tue Aug 19 22:37:00 2025 read 3323719 cycles
- Tue Aug 19 22:37:11 2025 cycles contain 10807246 unique relations
- Tue Aug 19 22:38:36 2025 read 10807246 relations
- Tue Aug 19 22:40:03 2025 multiplying 10807246 relations
- Tue Aug 19 23:02:38 2025 multiply complete, coefficients have about 464.73 million bits
- Tue Aug 19 23:02:39 2025 initial square root is modulo 218177923
- Tue Aug 19 23:28:55 2025 sqrtTime: 3117
- Tue Aug 19 23:28:55 2025 p78 factor: 116624665585561174804448188977916596214062988439339025484810836037596964649039
- Tue Aug 19 23:28:55 2025 p106 factor: 1423048210835811599507414851857335145947983535420801138968159036196307309129328067369918623610471106852787
- Tue Aug 19 23:28:55 2025 elapsed time 00:51:59
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