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- Thu Oct 22 23:25:06 2026
- Thu Oct 22 23:25:06 2026
- Thu Oct 22 23:25:06 2026 Msieve v. 1.54 (SVN unknown)
- Thu Oct 22 23:25:06 2026 random seeds: 428f1489 a298ece4
- Thu Oct 22 23:25:06 2026 Using 8 OpenMP threads
- Thu Oct 22 23:25:06 2026 factoring 37673034426583515586385556096456343331661591014547705984070983805516551162954787421924941702400940172435680103814233476789274645445576429985985791012189644621915242895549094808835749117517645840627889685017707544667682965717 (224 digits)
- Thu Oct 22 23:25:07 2026 no P-1/P+1/ECM available, skipping
- Thu Oct 22 23:25:07 2026 commencing number field sieve (224-digit input)
- Thu Oct 22 23:25:07 2026 R0: 399177014593887372381046672567020162371
- Thu Oct 22 23:25:07 2026 R1: -1
- Thu Oct 22 23:25:07 2026 A0: 1
- Thu Oct 22 23:25:07 2026 A1: 1
- Thu Oct 22 23:25:07 2026 A2: 1
- Thu Oct 22 23:25:07 2026 A3: 1
- Thu Oct 22 23:25:07 2026 A4: 1
- Thu Oct 22 23:25:07 2026 A5: 1
- Thu Oct 22 23:25:07 2026 A6: 1
- Thu Oct 22 23:25:07 2026 skew 1.35, size 1.820e-11, alpha 2.428, combined = 9.916e-13 rroots = 0
- Thu Oct 22 23:25:07 2026
- Thu Oct 22 23:25:07 2026 commencing relation filtering
- Thu Oct 22 23:25:07 2026 estimated available RAM is 78541.8 MB
- Thu Oct 22 23:25:07 2026 commencing duplicate removal, pass 1
- Thu Oct 22 23:30:55 2026 error -1 reading relation 95221601
- Thu Oct 22 23:31:16 2026 error -1 reading relation 101866102
- Thu Oct 22 23:31:21 2026 error -1 reading relation 103271848
- Thu Oct 22 23:31:48 2026 error -1 reading relation 111735536
- Thu Oct 22 23:31:58 2026 error -5 reading relation 114668798
- Thu Oct 22 23:32:12 2026 error -1 reading relation 119129854
- Thu Oct 22 23:32:32 2026 skipped 57 malformed relations
- Thu Oct 22 23:32:32 2026 found 22612191 hash collisions in 124804784 relations
- Thu Oct 22 23:32:32 2026 cached 124804847 relation coordinates for pass 2 (2032.4 MB)
- Thu Oct 22 23:32:36 2026 added 2438534 free relations
- Thu Oct 22 23:32:36 2026 commencing duplicate removal, pass 2
- Thu Oct 22 23:33:17 2026 found 20928088 duplicates and 106315230 unique relations
- Thu Oct 22 23:33:17 2026 memory use: 1264.0 MB
- Thu Oct 22 23:33:18 2026 reading ideals above 720000
- Thu Oct 22 23:33:18 2026 commencing singleton removal, initial pass
- Thu Oct 22 23:40:39 2026 LP64 contains 106315230 relations and 111392828 unique large ideals
- Thu Oct 22 23:40:39 2026 memory use: 4188.0 MB
- Thu Oct 22 23:40:40 2026 preparing 64-bit LP file for common filtering
- Thu Oct 22 23:40:40 2026 start with 106315230 relations and 111392828 ideals
- Thu Oct 22 23:41:01 2026 compacted LP dataset has 106315230 relations and 111392828 large ideals
- Thu Oct 22 23:41:01 2026 reading all ideals from disk
- Thu Oct 22 23:41:07 2026 memory use: 4811.1 MB
- Thu Oct 22 23:41:16 2026 keeping 110963193 ideals with weight <= 200, target excess is 545523
- Thu Oct 22 23:41:30 2026 commencing in-memory singleton removal
- Thu Oct 22 23:41:34 2026 begin with 106315230 relations and 110963193 unique ideals
- Thu Oct 22 23:41:34 2026 memory use: 862.6 MB
- Thu Oct 22 23:41:41 2026 reduce to 47564542 relations and 43343040 ideals in 5 passes
- Thu Oct 22 23:41:41 2026 max relations containing the same ideal: 119
- Thu Oct 22 23:42:07 2026 removing 3726749 relations and 3326749 ideals in 400000 cliques
- Thu Oct 22 23:42:05 2026 commencing in-memory singleton removal
- Thu Oct 22 23:42:07 2026 begin with 43837793 relations and 43343040 unique ideals
- Thu Oct 22 23:42:07 2026 memory use: 346.7 MB
- Thu Oct 22 23:42:09 2026 reduce to 43565624 relations and 39740710 ideals in 1 passes
- Thu Oct 22 23:42:09 2026 max relations containing the same ideal: 113
- Thu Oct 22 23:42:31 2026 removing 2757913 relations and 2357913 ideals in 400000 cliques
- Thu Oct 22 23:42:32 2026 commencing in-memory singleton removal
- Thu Oct 22 23:42:33 2026 begin with 40807711 relations and 39740710 unique ideals
- Thu Oct 22 23:42:33 2026 memory use: 319.2 MB
- Thu Oct 22 23:42:34 2026 reduce to 40645598 relations and 37218971 ideals in 1 passes
- Thu Oct 22 23:42:34 2026 max relations containing the same ideal: 108
- Thu Oct 22 23:42:51 2026 removing 2461310 relations and 2061310 ideals in 400000 cliques
- Thu Oct 22 23:42:51 2026 commencing in-memory singleton removal
- Thu Oct 22 23:42:53 2026 begin with 38184288 relations and 37218971 unique ideals
- Thu Oct 22 23:42:53 2026 memory use: 300.0 MB
- Thu Oct 22 23:42:54 2026 reduce to 38048838 relations and 35020820 ideals in 1 passes
- Thu Oct 22 23:42:54 2026 max relations containing the same ideal: 103
- Thu Oct 22 23:43:10 2026 removing 2302765 relations and 1902765 ideals in 400000 cliques
- Thu Oct 22 23:43:11 2026 commencing in-memory singleton removal
- Thu Oct 22 23:43:12 2026 begin with 35746073 relations and 35020820 unique ideals
- Thu Oct 22 23:43:12 2026 memory use: 283.2 MB
- Thu Oct 22 23:43:13 2026 reduce to 35621961 relations and 32992734 ideals in 1 passes
- Thu Oct 22 23:43:13 2026 max relations containing the same ideal: 100
- Thu Oct 22 23:43:31 2026 removing 2197278 relations and 1797278 ideals in 400000 cliques
- Thu Oct 22 23:43:31 2026 commencing in-memory singleton removal
- Thu Oct 22 23:43:32 2026 begin with 33424683 relations and 32992734 unique ideals
- Thu Oct 22 23:43:32 2026 memory use: 267.7 MB
- Thu Oct 22 23:43:33 2026 reduce to 33307899 relations and 31077400 ideals in 1 passes
- Thu Oct 22 23:43:33 2026 max relations containing the same ideal: 94
- Thu Oct 22 23:43:46 2026 removing 2127054 relations and 1727054 ideals in 400000 cliques
- Thu Oct 22 23:43:47 2026 commencing in-memory singleton removal
- Thu Oct 22 23:43:48 2026 begin with 31180845 relations and 31077400 unique ideals
- Thu Oct 22 23:43:48 2026 memory use: 253.1 MB
- Thu Oct 22 23:43:49 2026 reduce to 31066378 relations and 29234643 ideals in 1 passes
- Thu Oct 22 23:43:49 2026 max relations containing the same ideal: 89
- Thu Oct 22 23:44:03 2026 removing 2071631 relations and 1671631 ideals in 400000 cliques
- Thu Oct 22 23:44:03 2026 commencing in-memory singleton removal
- Thu Oct 22 23:44:04 2026 begin with 28994747 relations and 29234643 unique ideals
- Thu Oct 22 23:44:04 2026 memory use: 239.0 MB
- Thu Oct 22 23:44:05 2026 reduce to 28879637 relations and 27446540 ideals in 1 passes
- Thu Oct 22 23:44:05 2026 max relations containing the same ideal: 85
- Thu Oct 22 23:44:18 2026 removing 2030265 relations and 1630265 ideals in 400000 cliques
- Thu Oct 22 23:44:19 2026 commencing in-memory singleton removal
- Thu Oct 22 23:44:20 2026 begin with 26849372 relations and 27446540 unique ideals
- Thu Oct 22 23:44:20 2026 memory use: 225.4 MB
- Thu Oct 22 23:44:20 2026 reduce to 26731526 relations and 25696964 ideals in 1 passes
- Thu Oct 22 23:44:20 2026 max relations containing the same ideal: 79
- Thu Oct 22 23:44:34 2026 removing 1997748 relations and 1597748 ideals in 400000 cliques
- Thu Oct 22 23:44:34 2026 commencing in-memory singleton removal
- Thu Oct 22 23:44:35 2026 begin with 24733778 relations and 25696964 unique ideals
- Thu Oct 22 23:44:35 2026 memory use: 212.1 MB
- Thu Oct 22 23:44:36 2026 reduce to 24612705 relations and 23976573 ideals in 1 passes
- Thu Oct 22 23:44:36 2026 max relations containing the same ideal: 77
- Thu Oct 22 23:44:45 2026 relations with 0 large ideals: 41675
- Thu Oct 22 23:44:45 2026 relations with 1 large ideals: 10042
- Thu Oct 22 23:44:45 2026 relations with 2 large ideals: 115885
- Thu Oct 22 23:44:45 2026 relations with 3 large ideals: 741758
- Thu Oct 22 23:44:45 2026 relations with 4 large ideals: 2578383
- Thu Oct 22 23:44:45 2026 relations with 5 large ideals: 5278234
- Thu Oct 22 23:44:45 2026 relations with 6 large ideals: 6629488
- Thu Oct 22 23:44:45 2026 relations with 7+ large ideals: 9217240
- Thu Oct 22 23:44:45 2026 commencing 2-way merge
- Thu Oct 22 23:45:00 2026 reduce to 15024599 relation sets and 14388467 unique ideals
- Thu Oct 22 23:45:00 2026 commencing full merge
- Thu Oct 22 23:50:55 2026 memory use: 2070.1 MB
- Thu Oct 22 23:50:55 2026 found 7354171 cycles, need 7288667
- Thu Oct 22 23:50:56 2026 weight of 7288667 cycles is about 656013608 (90.00/cycle)
- Thu Oct 22 23:50:56 2026 distribution of cycle lengths:
- Thu Oct 22 23:50:56 2026 1 relations: 746018
- Thu Oct 22 23:50:56 2026 2 relations: 717253
- Thu Oct 22 23:50:56 2026 3 relations: 681831
- Thu Oct 22 23:50:56 2026 4 relations: 627733
- Thu Oct 22 23:50:56 2026 5 relations: 583696
- Thu Oct 22 23:50:56 2026 6 relations: 531083
- Thu Oct 22 23:50:56 2026 7 relations: 486891
- Thu Oct 22 23:50:56 2026 8 relations: 439485
- Thu Oct 22 23:50:56 2026 9 relations: 394236
- Thu Oct 22 23:50:56 2026 10+ relations: 2080441
- Thu Oct 22 23:50:56 2026 heaviest cycle: 28 relations
- Thu Oct 22 23:50:56 2026 commencing cycle optimization
- Thu Oct 22 23:51:09 2026 start with 51961601 relations
- Thu Oct 22 23:53:05 2026 pruned 1600394 relations
- Thu Oct 22 23:53:05 2026 memory use: 1612.7 MB
- Thu Oct 22 23:53:05 2026 distribution of cycle lengths:
- Thu Oct 22 23:53:05 2026 1 relations: 746018
- Thu Oct 22 23:53:05 2026 2 relations: 729529
- Thu Oct 22 23:53:05 2026 3 relations: 703258
- Thu Oct 22 23:53:05 2026 4 relations: 644786
- Thu Oct 22 23:53:05 2026 5 relations: 602580
- Thu Oct 22 23:53:05 2026 6 relations: 545720
- Thu Oct 22 23:53:05 2026 7 relations: 500303
- Thu Oct 22 23:53:05 2026 8 relations: 448849
- Thu Oct 22 23:53:05 2026 9 relations: 401775
- Thu Oct 22 23:53:05 2026 10+ relations: 1965849
- Thu Oct 22 23:53:05 2026 heaviest cycle: 28 relations
- Thu Oct 22 23:53:12 2026 RelProcTime: 1685
- Thu Oct 22 23:53:12 2026
- Thu Oct 22 23:53:12 2026 commencing linear algebra
- Thu Oct 22 23:53:12 2026 using VBITS=128
- Thu Oct 22 23:53:13 2026 read 7288667 cycles
- Thu Oct 22 23:53:29 2026 cycles contain 24131053 unique relations
- Thu Oct 22 23:54:43 2026 read 24131053 relations
- Thu Oct 22 23:54:53 2026 using 20 quadratic characters above 4294917295
- Thu Oct 22 23:55:12 2026 building initial matrix
- Thu Oct 22 23:56:32 2026 memory use: 2924.2 MB
- Thu Oct 22 23:56:35 2026 read 7288667 cycles
- Thu Oct 22 23:56:36 2026 matrix is 7288486 x 7288667 (2696.0 MB) with weight 770322999 (105.69/col)
- Thu Oct 22 23:56:36 2026 sparse part has weight 626553984 (85.96/col)
- Thu Oct 22 23:57:04 2026 filtering completed in 2 passes
- Thu Oct 22 23:57:06 2026 matrix is 7286418 x 7286596 (2695.8 MB) with weight 770255864 (105.71/col)
- Thu Oct 22 23:57:06 2026 sparse part has weight 626529089 (85.98/col)
- Thu Oct 22 23:57:34 2026 matrix starts at (0, 0)
- Thu Oct 22 23:57:35 2026 matrix is 7286418 x 7286596 (2695.8 MB) with weight 770255864 (105.71/col)
- Thu Oct 22 23:57:35 2026 sparse part has weight 626529089 (85.98/col)
- Thu Oct 22 23:57:35 2026 saving the first 112 matrix rows for later
- Thu Oct 22 23:57:36 2026 matrix includes 128 packed rows
- Thu Oct 22 23:57:37 2026 matrix is 7286306 x 7286596 (2506.4 MB) with weight 601996997 (82.62/col)
- Thu Oct 22 23:57:37 2026 sparse part has weight 569596022 (78.17/col)
- Thu Oct 22 23:57:37 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
- Thu Oct 22 23:57:37 2026 selected card has CUDA arch 12.0
- Thu Oct 22 23:57:38 2026 computed block_nnz 128000000 (L2 cache 50331648 bytes, average column weight 78.2)
- Thu Oct 22 23:57:38 2026 nonzeros per matrix block: 128000000
- Thu Oct 22 23:57:38 2026 SpMV kernel: auto (by nonzeros per row)
- Thu Oct 22 23:57:41 2026 SpMV kernel auto: segscan for 10 of 10 blocks (below 28 nonzeros per row), warpmerge for 0
- Thu Oct 22 23:57:41 2026 GPU memory: 11015 MB free, 778 MB for vectors, 10126 MB for sparse matrix blocks (4644 MB needed)
- Thu Oct 22 23:58:08 2026 commencing Lanczos iteration
- Thu Oct 22 23:58:10 2026 memory use: 5513.1 MB
- Thu Oct 22 23:58:42 2026 linear algebra at 0.4%, ETA 2h 6m
- Thu Oct 22 23:58:50 2026 checking every 50000 dimensions, checkpointing every 3500000 dimensions
- Fri Oct 23 01:32:58 2026 lanczos halted after 57270 iterations (dim = 7286304)
- Fri Oct 23 01:33:20 2026 recovered 37 nontrivial dependencies
- Fri Oct 23 01:33:21 2026 BLanczosTime: 6009
- Fri Oct 23 01:33:21 2026
- Fri Oct 23 01:33:21 2026 commencing square root phase
- Fri Oct 23 01:33:21 2026 reading relations for dependency 1
- Fri Oct 23 01:33:45 2026 read 3641373 cycles
- Fri Oct 23 01:33:52 2026 cycles contain 12060678 unique relations
- Fri Oct 23 01:35:23 2026 read 12060678 relations
- Fri Oct 23 01:35:59 2026 multiplying 12060678 relations
- Fri Oct 23 01:36:48 2026 multiply complete, coefficients have about 294.48 million bits
- Fri Oct 23 01:36:49 2026 initial square root is modulo 192307
- Fri Oct 23 01:38:29 2026 GCD is N, no factor found
- Fri Oct 23 01:38:29 2026 reading relations for dependency 2
- Fri Oct 23 01:38:31 2026 read 3644670 cycles
- Fri Oct 23 01:38:37 2026 cycles contain 12063974 unique relations
- Fri Oct 23 01:39:08 2026 read 12063974 relations
- Fri Oct 23 01:39:41 2026 multiplying 12063974 relations
- Fri Oct 23 01:40:30 2026 multiply complete, coefficients have about 294.55 million bits
- Fri Oct 23 01:40:31 2026 initial square root is modulo 192923
- Fri Oct 23 01:42:10 2026 sqrtTime: 529
- Fri Oct 23 01:42:10 2026 p71 factor: 60078971963797671176416278242683680995805884009789684794301450634818701
- Fri Oct 23 01:42:10 2026 p153 factor: 627058572994299839843670666257432662191889125274468251222506913746175617432137988494438400184659409449675193240073656493525519208171934483531038639187817
- Fri Oct 23 01:42:10 2026 elapsed time 02:17:04
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