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- Fri Oct 30 07:11:35 2026
- Fri Oct 30 07:11:35 2026
- Fri Oct 30 07:11:35 2026 Msieve v. 1.54 (SVN unknown)
- Fri Oct 30 07:11:35 2026 random seeds: 63922919 8751d6b3
- Fri Oct 30 07:11:35 2026 Using 8 OpenMP threads
- Fri Oct 30 07:11:35 2026 factoring 12846787487118570003865418107601038321552759759658468043461812555086480067813438849662478870607065036469851363751471875496447471957812865002364925638371437719843294155265494270565804822597726880801338180627028281621190982407942201819637 (236 digits)
- Fri Oct 30 07:11:36 2026 no P-1/P+1/ECM available, skipping
- Fri Oct 30 07:11:36 2026 commencing number field sieve (236-digit input)
- Fri Oct 30 07:11:36 2026 R0: 2346693202741035519205661695222229894930
- Fri Oct 30 07:11:36 2026 R1: -48442679557813846423
- Fri Oct 30 07:11:36 2026 A0: -1
- Fri Oct 30 07:11:36 2026 A1: 3
- Fri Oct 30 07:11:36 2026 A2: 6
- Fri Oct 30 07:11:36 2026 A3: -4
- Fri Oct 30 07:11:36 2026 A4: -5
- Fri Oct 30 07:11:36 2026 A5: 1
- Fri Oct 30 07:11:36 2026 A6: 1
- Fri Oct 30 07:11:36 2026 skew 1.37, size 1.271e-11, alpha 3.126, combined = 7.480e-13 rroots = 6
- Fri Oct 30 07:11:36 2026
- Fri Oct 30 07:11:36 2026 commencing relation filtering
- Fri Oct 30 07:11:36 2026 setting 4 target densities:Fri Oct 30 07:11:36 2026 70Fri Oct 30 07:11:36 2026 90Fri Oct 30 07:11:36 2026 110Fri Oct 30 07:11:36 2026 130Fri Oct 30 07:11:36 2026
- Fri Oct 30 07:11:36 2026 estimated available RAM is 78541.8 MB
- Fri Oct 30 07:11:36 2026 commencing duplicate removal, pass 1
- Fri Oct 30 07:12:58 2026 error -15 reading relation 27940519
- Fri Oct 30 07:15:41 2026 error -1 reading relation 87379668
- Fri Oct 30 07:15:43 2026 error -1 reading relation 88027515
- Fri Oct 30 07:16:29 2026 error -1 reading relation 104841902
- Fri Oct 30 07:16:32 2026 error -1 reading relation 105737698
- Fri Oct 30 07:16:34 2026 error -1 reading relation 106416902
- Fri Oct 30 07:16:36 2026 error -1 reading relation 107186586
- Fri Oct 30 07:16:43 2026 error -1 reading relation 109906465
- Fri Oct 30 07:16:48 2026 error -1 reading relation 111595661
- Fri Oct 30 07:17:34 2026 error -1 reading relation 126677495
- Fri Oct 30 07:17:36 2026 error -1 reading relation 127206026
- Fri Oct 30 07:17:45 2026 error -1 reading relation 130713857
- Fri Oct 30 07:17:45 2026 error -1 reading relation 130910420
- Fri Oct 30 07:18:07 2026 skipped 86 malformed relations
- Fri Oct 30 07:18:07 2026 found 24625302 hash collisions in 137766283 relations
- Fri Oct 30 07:18:07 2026 cached 137766382 relation coordinates for pass 2 (2230.1 MB)
- Fri Oct 30 07:18:07 2026 commencing duplicate removal, pass 2
- Fri Oct 30 07:18:44 2026 found 22195008 duplicates and 115571275 unique relations
- Fri Oct 30 07:18:44 2026 memory use: 1336.0 MB
- Fri Oct 30 07:18:43 2026 reading ideals above 720000
- Fri Oct 30 07:18:43 2026 commencing singleton removal, initial pass
- Fri Oct 30 07:25:02 2026 LP64 contains 115571275 relations and 117626934 unique large ideals
- Fri Oct 30 07:25:02 2026 memory use: 4308.0 MB
- Fri Oct 30 07:25:03 2026 preparing 64-bit LP file for common filtering
- Fri Oct 30 07:25:03 2026 start with 115571275 relations and 117626934 ideals
- Fri Oct 30 07:25:13 2026 compacted LP dataset has 115571275 relations and 117626934 large ideals
- Fri Oct 30 07:25:13 2026 reading all ideals from disk
- Fri Oct 30 07:25:16 2026 memory use: 5306.8 MB
- Fri Oct 30 07:25:20 2026 keeping 117166941 ideals with weight <= 200, target excess is 576157
- Fri Oct 30 07:25:34 2026 commencing in-memory singleton removal
- Fri Oct 30 07:25:38 2026 begin with 115571275 relations and 117166941 unique ideals
- Fri Oct 30 07:25:38 2026 memory use: 909.9 MB
- Fri Oct 30 07:25:49 2026 reduce to 58582960 relations and 52615319 ideals in 5 passes
- Fri Oct 30 07:25:49 2026 max relations containing the same ideal: 136
- Fri Oct 30 07:26:15 2026 removing 6678173 relations and 5678173 ideals in 1000000 cliques
- Fri Oct 30 07:26:15 2026 commencing in-memory singleton removal
- Fri Oct 30 07:26:17 2026 begin with 51904787 relations and 52615319 unique ideals
- Fri Oct 30 07:26:17 2026 memory use: 417.4 MB
- Fri Oct 30 07:26:19 2026 reduce to 51242265 relations and 46259659 ideals in 1 passes
- Fri Oct 30 07:26:19 2026 max relations containing the same ideal: 123
- Fri Oct 30 07:26:40 2026 removing 5139535 relations and 4139535 ideals in 1000000 cliques
- Fri Oct 30 07:26:40 2026 commencing in-memory singleton removal
- Fri Oct 30 07:26:42 2026 begin with 46102730 relations and 46259659 unique ideals
- Fri Oct 30 07:26:42 2026 memory use: 368.9 MB
- Fri Oct 30 07:26:43 2026 reduce to 45657006 relations and 41665471 ideals in 1 passes
- Fri Oct 30 07:26:43 2026 max relations containing the same ideal: 117
- Fri Oct 30 07:27:03 2026 removing 4688522 relations and 3688522 ideals in 1000000 cliques
- Fri Oct 30 07:27:04 2026 commencing in-memory singleton removal
- Fri Oct 30 07:27:05 2026 begin with 40968484 relations and 41665471 unique ideals
- Fri Oct 30 07:27:05 2026 memory use: 333.9 MB
- Fri Oct 30 07:27:06 2026 reduce to 40562403 relations and 37562333 ideals in 1 passes
- Fri Oct 30 07:27:06 2026 max relations containing the same ideal: 106
- Fri Oct 30 07:27:24 2026 removing 4454095 relations and 3454095 ideals in 1000000 cliques
- Fri Oct 30 07:27:25 2026 commencing in-memory singleton removal
- Fri Oct 30 07:27:24 2026 begin with 36108308 relations and 37562333 unique ideals
- Fri Oct 30 07:27:24 2026 memory use: 302.6 MB
- Fri Oct 30 07:27:25 2026 reduce to 35703695 relations and 33694367 ideals in 1 passes
- Fri Oct 30 07:27:25 2026 max relations containing the same ideal: 97
- Fri Oct 30 07:27:42 2026 removing 4316063 relations and 3316063 ideals in 1000000 cliques
- Fri Oct 30 07:27:42 2026 commencing in-memory singleton removal
- Fri Oct 30 07:27:43 2026 begin with 31387632 relations and 33694367 unique ideals
- Fri Oct 30 07:27:43 2026 memory use: 273.1 MB
- Fri Oct 30 07:27:44 2026 reduce to 30958810 relations and 29938494 ideals in 1 passes
- Fri Oct 30 07:27:44 2026 max relations containing the same ideal: 87
- Fri Oct 30 07:27:56 2026 removing 1856895 relations and 1504922 ideals in 351973 cliques
- Fri Oct 30 07:27:56 2026 commencing in-memory singleton removal
- Fri Oct 30 07:27:57 2026 begin with 29101915 relations and 29938494 unique ideals
- Fri Oct 30 07:27:57 2026 memory use: 244.4 MB
- Fri Oct 30 07:27:58 2026 reduce to 29017183 relations and 28347899 ideals in 1 passes
- Fri Oct 30 07:27:58 2026 max relations containing the same ideal: 83
- Fri Oct 30 07:28:12 2026 trying target density 70
- Fri Oct 30 07:28:13 2026 relations with 0 large ideals: 44058
- Fri Oct 30 07:28:13 2026 relations with 1 large ideals: 8527
- Fri Oct 30 07:28:13 2026 relations with 2 large ideals: 107311
- Fri Oct 30 07:28:13 2026 relations with 3 large ideals: 717008
- Fri Oct 30 07:28:13 2026 relations with 4 large ideals: 2614058
- Fri Oct 30 07:28:13 2026 relations with 5 large ideals: 5696166
- Fri Oct 30 07:28:13 2026 relations with 6 large ideals: 7699609
- Fri Oct 30 07:28:13 2026 relations with 7+ large ideals: 12130446
- Fri Oct 30 07:28:13 2026 commencing 2-way merge
- Fri Oct 30 07:28:29 2026 reduce to 18317557 relation sets and 17648273 unique ideals
- Fri Oct 30 07:28:29 2026 commencing full merge
- Fri Oct 30 07:33:16 2026 memory use: 2404.3 MB
- Fri Oct 30 07:33:16 2026 found 9829334 cycles, need 9738473
- Fri Oct 30 07:33:18 2026 weight of 9738473 cycles is about 681911963 (70.02/cycle)
- Fri Oct 30 07:33:18 2026 distribution of cycle lengths:
- Fri Oct 30 07:33:18 2026 1 relations: 1379672
- Fri Oct 30 07:33:18 2026 2 relations: 1224962
- Fri Oct 30 07:33:18 2026 3 relations: 1105772
- Fri Oct 30 07:33:18 2026 4 relations: 991656
- Fri Oct 30 07:33:18 2026 5 relations: 900308
- Fri Oct 30 07:33:18 2026 6 relations: 787821
- Fri Oct 30 07:33:18 2026 7 relations: 693929
- Fri Oct 30 07:33:18 2026 8 relations: 597851
- Fri Oct 30 07:33:18 2026 9 relations: 502598
- Fri Oct 30 07:33:18 2026 10+ relations: 1553904
- Fri Oct 30 07:33:18 2026 heaviest cycle: 21 relations
- Fri Oct 30 07:33:18 2026 commencing cycle optimization
- Fri Oct 30 07:33:31 2026 start with 53433468 relations
- Fri Oct 30 07:34:40 2026 pruned 1293279 relations
- Fri Oct 30 07:34:40 2026 memory use: 1820.3 MB
- Fri Oct 30 07:34:40 2026 distribution of cycle lengths:
- Fri Oct 30 07:34:40 2026 1 relations: 1379672
- Fri Oct 30 07:34:40 2026 2 relations: 1245161
- Fri Oct 30 07:34:40 2026 3 relations: 1138212
- Fri Oct 30 07:34:40 2026 4 relations: 1014820
- Fri Oct 30 07:34:40 2026 5 relations: 922780
- Fri Oct 30 07:34:40 2026 6 relations: 803235
- Fri Oct 30 07:34:40 2026 7 relations: 706317
- Fri Oct 30 07:34:40 2026 8 relations: 601427
- Fri Oct 30 07:34:40 2026 9 relations: 502023
- Fri Oct 30 07:34:40 2026 10+ relations: 1424826
- Fri Oct 30 07:34:40 2026 heaviest cycle: 21 relations
- Fri Oct 30 07:34:47 2026 trying target density 90
- Fri Oct 30 07:34:46 2026 relations with 0 large ideals: 44058
- Fri Oct 30 07:34:46 2026 relations with 1 large ideals: 8527
- Fri Oct 30 07:34:46 2026 relations with 2 large ideals: 107311
- Fri Oct 30 07:34:46 2026 relations with 3 large ideals: 717008
- Fri Oct 30 07:34:46 2026 relations with 4 large ideals: 2614058
- Fri Oct 30 07:34:46 2026 relations with 5 large ideals: 5696166
- Fri Oct 30 07:34:46 2026 relations with 6 large ideals: 7699609
- Fri Oct 30 07:34:46 2026 relations with 7+ large ideals: 12130446
- Fri Oct 30 07:34:46 2026 commencing 2-way merge
- Fri Oct 30 07:35:04 2026 reduce to 18317557 relation sets and 17648273 unique ideals
- Fri Oct 30 07:35:04 2026 commencing full merge
- Fri Oct 30 07:41:44 2026 memory use: 2530.8 MB
- Fri Oct 30 07:41:44 2026 found 8994017 cycles, need 8922473
- Fri Oct 30 07:41:45 2026 weight of 8922473 cycles is about 803377944 (90.04/cycle)
- Fri Oct 30 07:41:45 2026 distribution of cycle lengths:
- Fri Oct 30 07:41:45 2026 1 relations: 878434
- Fri Oct 30 07:41:45 2026 2 relations: 874190
- Fri Oct 30 07:41:45 2026 3 relations: 834867
- Fri Oct 30 07:41:45 2026 4 relations: 771940
- Fri Oct 30 07:41:45 2026 5 relations: 725149
- Fri Oct 30 07:41:45 2026 6 relations: 664479
- Fri Oct 30 07:41:45 2026 7 relations: 612153
- Fri Oct 30 07:41:45 2026 8 relations: 555568
- Fri Oct 30 07:41:45 2026 9 relations: 499006
- Fri Oct 30 07:41:45 2026 10+ relations: 2506687
- Fri Oct 30 07:41:45 2026 heaviest cycle: 27 relations
- Fri Oct 30 07:41:46 2026 commencing cycle optimization
- Fri Oct 30 07:42:00 2026 start with 63148487 relations
- Fri Oct 30 07:44:01 2026 pruned 2105507 relations
- Fri Oct 30 07:44:01 2026 memory use: 1928.8 MB
- Fri Oct 30 07:44:01 2026 distribution of cycle lengths:
- Fri Oct 30 07:44:01 2026 1 relations: 878434
- Fri Oct 30 07:44:01 2026 2 relations: 889901
- Fri Oct 30 07:44:01 2026 3 relations: 862307
- Fri Oct 30 07:44:01 2026 4 relations: 795558
- Fri Oct 30 07:44:01 2026 5 relations: 750921
- Fri Oct 30 07:44:01 2026 6 relations: 684811
- Fri Oct 30 07:44:01 2026 7 relations: 630827
- Fri Oct 30 07:44:01 2026 8 relations: 569528
- Fri Oct 30 07:44:01 2026 9 relations: 509788
- Fri Oct 30 07:44:01 2026 10+ relations: 2350398
- Fri Oct 30 07:44:01 2026 heaviest cycle: 27 relations
- Fri Oct 30 07:44:09 2026 trying target density 110
- Fri Oct 30 07:44:10 2026 relations with 0 large ideals: 44058
- Fri Oct 30 07:44:10 2026 relations with 1 large ideals: 8527
- Fri Oct 30 07:44:10 2026 relations with 2 large ideals: 107311
- Fri Oct 30 07:44:10 2026 relations with 3 large ideals: 717008
- Fri Oct 30 07:44:10 2026 relations with 4 large ideals: 2614058
- Fri Oct 30 07:44:10 2026 relations with 5 large ideals: 5696166
- Fri Oct 30 07:44:10 2026 relations with 6 large ideals: 7699609
- Fri Oct 30 07:44:10 2026 relations with 7+ large ideals: 12130446
- Fri Oct 30 07:44:10 2026 commencing 2-way merge
- Fri Oct 30 07:44:29 2026 reduce to 18317557 relation sets and 17648273 unique ideals
- Fri Oct 30 07:44:29 2026 commencing full merge
- Fri Oct 30 08:04:15 2026 memory use: 818.9 MB
- Fri Oct 30 08:04:15 2026 found 77516 cycles, need 3963857
- Fri Oct 30 08:04:15 2026 too few cycles, matrix probably cannot build
- Fri Oct 30 08:04:18 2026 RelProcTime: 3162
- Fri Oct 30 08:04:18 2026
- Fri Oct 30 08:04:18 2026 commencing linear algebra
- Fri Oct 30 08:04:18 2026 using VBITS=128
- Fri Oct 30 08:04:18 2026 building matrices for all densities
- Fri Oct 30 08:04:18 2026 found 2 density files
- Fri Oct 30 08:04:18 2026 building matrix for density 70
- Fri Oct 30 08:04:20 2026 read 9738473 cycles
- Fri Oct 30 08:04:34 2026 cycles contain 28571125 unique relations
- Fri Oct 30 08:07:26 2026 read 28571125 relations
- Fri Oct 30 08:07:34 2026 using 20 quadratic characters above 4294917295
- Fri Oct 30 08:07:45 2026 building initial matrix
- Fri Oct 30 08:08:49 2026 memory use: 3398.5 MB
- Fri Oct 30 08:08:50 2026 read 9738473 cycles
- Fri Oct 30 08:08:51 2026 matrix is 9738295 x 9738473 (2888.4 MB) with weight 828271375 (85.05/col)
- Fri Oct 30 08:08:51 2026 sparse part has weight 659802072 (67.75/col)
- Fri Oct 30 08:09:14 2026 filtering completed in 2 passes
- Fri Oct 30 08:09:16 2026 matrix is 9734441 x 9734615 (2888.2 MB) with weight 828174820 (85.08/col)
- Fri Oct 30 08:09:16 2026 sparse part has weight 659770530 (67.78/col)
- Fri Oct 30 08:10:14 2026 building matrix for density 90
- Fri Oct 30 08:10:15 2026 read 8922473 cycles
- Fri Oct 30 08:10:28 2026 cycles contain 28581052 unique relations
- Fri Oct 30 08:11:34 2026 read 28581052 relations
- Fri Oct 30 08:11:51 2026 using 20 quadratic characters above 4294917295
- Fri Oct 30 08:12:08 2026 building initial matrix
- Fri Oct 30 08:13:32 2026 memory use: 3408.5 MB
- Fri Oct 30 08:13:35 2026 read 8922473 cycles
- Fri Oct 30 08:13:36 2026 matrix is 8922294 x 8922473 (3261.4 MB) with weight 929071722 (104.13/col)
- Fri Oct 30 08:13:36 2026 sparse part has weight 765725794 (85.82/col)
- Fri Oct 30 08:14:24 2026 filtering completed in 2 passes
- Fri Oct 30 08:14:26 2026 matrix is 8920799 x 8920973 (3261.2 MB) with weight 929024661 (104.14/col)
- Fri Oct 30 08:14:26 2026 sparse part has weight 765706514 (85.83/col)
- Fri Oct 30 08:15:22 2026 BLanczosTime: 664
- Fri Oct 30 08:15:22 2026 elapsed time 01:03:47
- Fri Oct 30 11:19:27 2026
- Fri Oct 30 11:19:27 2026
- Fri Oct 30 11:19:27 2026 Msieve v. 1.54 (SVN unknown)
- Fri Oct 30 11:19:27 2026 random seeds: fb8b988c 8ac48df7
- Fri Oct 30 11:19:27 2026 Using 8 OpenMP threads
- Fri Oct 30 11:19:27 2026 factoring 12846787487118570003865418107601038321552759759658468043461812555086480067813438849662478870607065036469851363751471875496447471957812865002364925638371437719843294155265494270565804822597726880801338180627028281621190982407942201819637 (236 digits)
- Fri Oct 30 11:19:28 2026 no P-1/P+1/ECM available, skipping
- Fri Oct 30 11:19:28 2026 commencing number field sieve (236-digit input)
- Fri Oct 30 11:19:28 2026 R0: 2346693202741035519205661695222229894930
- Fri Oct 30 11:19:28 2026 R1: -48442679557813846423
- Fri Oct 30 11:19:28 2026 A0: -1
- Fri Oct 30 11:19:28 2026 A1: 3
- Fri Oct 30 11:19:28 2026 A2: 6
- Fri Oct 30 11:19:28 2026 A3: -4
- Fri Oct 30 11:19:28 2026 A4: -5
- Fri Oct 30 11:19:28 2026 A5: 1
- Fri Oct 30 11:19:28 2026 A6: 1
- Fri Oct 30 11:19:28 2026 skew 1.37, size 1.271e-11, alpha 3.126, combined = 7.480e-13 rroots = 6
- Fri Oct 30 11:19:28 2026
- Fri Oct 30 11:19:28 2026 commencing linear algebra
- Fri Oct 30 11:19:28 2026 using VBITS=128
- Fri Oct 30 11:19:28 2026 selecting density 90 for linear algebra
- Fri Oct 30 11:19:57 2026 matrix starts at (0, 0)
- Fri Oct 30 11:19:58 2026 matrix is 8920799 x 8920973 (3261.2 MB) with weight 929024661 (104.14/col)
- Fri Oct 30 11:19:58 2026 sparse part has weight 765706514 (85.83/col)
- Fri Oct 30 11:19:58 2026 saving the first 112 matrix rows for later
- Fri Oct 30 11:20:00 2026 matrix includes 128 packed rows
- Fri Oct 30 11:20:02 2026 matrix is 8920687 x 8920973 (3057.0 MB) with weight 732155032 (82.07/col)
- Fri Oct 30 11:20:02 2026 sparse part has weight 694325881 (77.83/col)
- Fri Oct 30 11:20:02 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
- Fri Oct 30 11:20:02 2026 selected card has CUDA arch 12.0
- Fri Oct 30 11:20:02 2026 computed block_nnz 128000000 (L2 cache 50331648 bytes, average column weight 77.8)
- Fri Oct 30 11:20:02 2026 nonzeros per matrix block: 128000000
- Fri Oct 30 11:20:02 2026 SpMV kernel: auto (by nonzeros per row)
- Fri Oct 30 11:20:07 2026 SpMV kernel auto: segscan for 12 of 12 blocks (below 28 nonzeros per row), warpmerge for 0
- Fri Oct 30 11:20:07 2026 GPU memory: 11015 MB free, 953 MB for vectors, 9926 MB for sparse matrix blocks (5730 MB needed)
- Fri Oct 30 11:20:41 2026 commencing Lanczos iteration
- Fri Oct 30 11:20:42 2026 memory use: 6794.6 MB
- Fri Oct 30 11:21:08 2026 linear algebra at 0.3%, ETA 2h 6m
- Fri Oct 30 11:21:14 2026 checking every 70000 dimensions, checkpointing every 4340000 dimensions
- Fri Oct 30 12:37:19 2026 lanczos halted after 70112 iterations (dim = 8920687)
- Fri Oct 30 12:37:32 2026 recovered 34 nontrivial dependencies
- Fri Oct 30 12:37:34 2026 BLanczosTime: 4686
- Fri Oct 30 12:37:34 2026
- Fri Oct 30 12:37:34 2026 commencing square root phase
- Fri Oct 30 12:37:34 2026 handling dependencies 1 to 64
- Fri Oct 30 12:37:34 2026 reading relations for dependency 1
- Fri Oct 30 12:38:03 2026 read 4459798 cycles
- Fri Oct 30 12:38:13 2026 cycles contain 14286446 unique relations
- Fri Oct 30 12:41:04 2026 read 14286446 relations
- Fri Oct 30 12:41:50 2026 multiplying 14286446 relations
- Fri Oct 30 12:42:50 2026 multiply complete, coefficients have about 350.40 million bits
- Fri Oct 30 12:42:51 2026 initial square root is modulo 1937891
- Fri Oct 30 12:45:04 2026 GCD is 1, no factor found
- Fri Oct 30 12:45:04 2026 reading relations for dependency 2
- Fri Oct 30 12:45:08 2026 read 4459942 cycles
- Fri Oct 30 12:45:17 2026 cycles contain 14291578 unique relations
- Fri Oct 30 12:47:07 2026 read 14291578 relations
- Fri Oct 30 12:48:00 2026 multiplying 14291578 relations
- Fri Oct 30 12:49:11 2026 multiply complete, coefficients have about 350.52 million bits
- Fri Oct 30 12:49:12 2026 initial square root is modulo 1947983
- Fri Oct 30 12:51:17 2026 sqrtTime: 823
- Fri Oct 30 12:51:17 2026 p101 factor: 31974652494419086895626432436073338891255990336982325032212069045543345871203525863426090100398780801
- Fri Oct 30 12:51:17 2026 p135 factor: 401780363034777979119747426510844696433358171212750689367350215881325195987633465722233430544723247130784858468122222224908039702930037
- Fri Oct 30 12:51:17 2026 elapsed time 01:31:50
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