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- Fri Aug 7 10:36:47 2026
- Fri Aug 7 10:36:47 2026
- Fri Aug 7 10:36:47 2026 Msieve v. 1.54 (SVN unknown)
- Fri Aug 7 10:36:47 2026 random seeds: 0d393d71 4abc9353
- Fri Aug 7 10:36:47 2026 Using 8 OpenMP threads
- Fri Aug 7 10:36:47 2026 factoring 6034169050372704249961084867063122523348838278803050287244354505305991592566072197445421073773490394094393372574917054322921985724509847602485007732952439571107951611 (166 digits)
- Fri Aug 7 10:36:47 2026 no P-1/P+1/ECM available, skipping
- Fri Aug 7 10:36:47 2026 commencing number field sieve (166-digit input)
- Fri Aug 7 10:36:47 2026 R0: -159770968560418431603669574682389
- Fri Aug 7 10:36:47 2026 R1: 19166230516278715199
- Fri Aug 7 10:36:47 2026 A0: -357873392718403420602493302147452005680
- Fri Aug 7 10:36:47 2026 A1: 1124251973856847387997721567561512
- Fri Aug 7 10:36:47 2026 A2: 53599380485342883170049843
- Fri Aug 7 10:36:47 2026 A3: -23424989430518769613
- Fri Aug 7 10:36:47 2026 A4: -542165734834
- Fri Aug 7 10:36:47 2026 A5: 115920
- Fri Aug 7 10:36:47 2026 skew 7411608.41, size 4.988e-16, alpha -6.377, combined = 7.625e-13 rroots = 5
- Fri Aug 7 10:36:47 2026
- Fri Aug 7 10:36:47 2026 commencing relation filtering
- Fri Aug 7 10:36:47 2026 setting 3 target densities:Fri Aug 7 10:36:47 2026 100Fri Aug 7 10:36:47 2026 120Fri Aug 7 10:36:47 2026 140Fri Aug 7 10:36:47 2026
- Fri Aug 7 10:36:47 2026 estimated available RAM is 78540.1 MB
- Fri Aug 7 10:36:47 2026 commencing duplicate removal, pass 1
- Fri Aug 7 10:39:42 2026 error -1 reading relation 79550154
- Fri Aug 7 10:39:44 2026 error -1 reading relation 81833153
- Fri Aug 7 10:39:44 2026 error -1 reading relation 82536228
- Fri Aug 7 10:39:46 2026 error -1 reading relation 85136430
- Fri Aug 7 10:39:47 2026 error -1 reading relation 87813914
- Fri Aug 7 10:39:48 2026 error -1 reading relation 88478008
- Fri Aug 7 10:39:50 2026 error -1 reading relation 90470175
- Fri Aug 7 10:41:04 2026 error -1 reading relation 121232101
- Fri Aug 7 10:41:08 2026 error -1 reading relation 122575067
- Fri Aug 7 10:41:14 2026 error -1 reading relation 124452412
- Fri Aug 7 10:42:32 2026 error -1 reading relation 156310045
- Fri Aug 7 10:42:50 2026 error -1 reading relation 164360701
- Fri Aug 7 10:43:14 2026 skipped 70 malformed relations
- Fri Aug 7 10:43:14 2026 found 36424967 hash collisions in 174993788 relations
- Fri Aug 7 10:43:36 2026 added 121950 free relations
- Fri Aug 7 10:43:36 2026 commencing duplicate removal, pass 2
- Fri Aug 7 10:45:03 2026 found 38982367 duplicates and 136133371 unique relations
- Fri Aug 7 10:45:03 2026 memory use: 852.8 MB
- Fri Aug 7 10:45:03 2026 reading ideals above 720000
- Fri Aug 7 10:45:03 2026 commencing singleton removal, initial pass
- Fri Aug 7 10:55:53 2026 memory use: 3012.0 MB
- Fri Aug 7 10:55:53 2026 reading all ideals from disk
- Fri Aug 7 10:55:59 2026 memory use: 6225.9 MB
- Fri Aug 7 10:56:24 2026 keeping 125928240 ideals with weight <= 200, target excess is 697535
- Fri Aug 7 10:56:38 2026 commencing in-memory singleton removal
- Fri Aug 7 10:56:41 2026 begin with 136133371 relations and 125928240 unique ideals
- Fri Aug 7 10:57:00 2026 reduce to 84604305 relations and 69086815 ideals in 12 passes
- Fri Aug 7 10:57:00 2026 max relations containing the same ideal: 155
- Fri Aug 7 10:57:29 2026 removing 9521152 relations and 7521152 ideals in 2000000 cliques
- Fri Aug 7 10:57:32 2026 commencing in-memory singleton removal
- Fri Aug 7 10:57:33 2026 begin with 75083153 relations and 69086815 unique ideals
- Fri Aug 7 10:57:46 2026 reduce to 74256398 relations and 60714821 ideals in 9 passes
- Fri Aug 7 10:57:46 2026 max relations containing the same ideal: 144
- Fri Aug 7 10:58:15 2026 removing 7502650 relations and 5502650 ideals in 2000000 cliques
- Fri Aug 7 10:58:17 2026 commencing in-memory singleton removal
- Fri Aug 7 10:58:19 2026 begin with 66753748 relations and 60714821 unique ideals
- Fri Aug 7 10:58:27 2026 reduce to 66147255 relations and 54589663 ideals in 7 passes
- Fri Aug 7 10:58:27 2026 max relations containing the same ideal: 131
- Fri Aug 7 10:58:53 2026 removing 6968082 relations and 4968082 ideals in 2000000 cliques
- Fri Aug 7 10:58:56 2026 commencing in-memory singleton removal
- Fri Aug 7 10:58:58 2026 begin with 59179173 relations and 54589663 unique ideals
- Fri Aug 7 10:59:05 2026 reduce to 58602241 relations and 49028584 ideals in 8 passes
- Fri Aug 7 10:59:05 2026 max relations containing the same ideal: 124
- Fri Aug 7 10:59:34 2026 removing 6736595 relations and 4736595 ideals in 2000000 cliques
- Fri Aug 7 10:59:36 2026 commencing in-memory singleton removal
- Fri Aug 7 10:59:37 2026 begin with 51865646 relations and 49028584 unique ideals
- Fri Aug 7 10:59:44 2026 reduce to 51270522 relations and 43678550 ideals in 8 passes
- Fri Aug 7 10:59:44 2026 max relations containing the same ideal: 119
- Fri Aug 7 11:00:04 2026 removing 6631773 relations and 4631773 ideals in 2000000 cliques
- Fri Aug 7 11:00:06 2026 commencing in-memory singleton removal
- Fri Aug 7 11:00:07 2026 begin with 44638749 relations and 43678550 unique ideals
- Fri Aug 7 11:00:13 2026 reduce to 43990540 relations and 38376207 ideals in 8 passes
- Fri Aug 7 11:00:13 2026 max relations containing the same ideal: 103
- Fri Aug 7 11:00:32 2026 removing 6609570 relations and 4609570 ideals in 2000000 cliques
- Fri Aug 7 11:00:33 2026 commencing in-memory singleton removal
- Fri Aug 7 11:00:34 2026 begin with 37380970 relations and 38376207 unique ideals
- Fri Aug 7 11:00:39 2026 reduce to 36633925 relations and 32989863 ideals in 8 passes
- Fri Aug 7 11:00:39 2026 max relations containing the same ideal: 88
- Fri Aug 7 11:00:52 2026 removing 6640793 relations and 4640793 ideals in 2000000 cliques
- Fri Aug 7 11:00:54 2026 commencing in-memory singleton removal
- Fri Aug 7 11:00:55 2026 begin with 29993132 relations and 32989863 unique ideals
- Fri Aug 7 11:00:59 2026 reduce to 29089714 relations and 27402424 ideals in 9 passes
- Fri Aug 7 11:00:59 2026 max relations containing the same ideal: 75
- Fri Aug 7 11:01:13 2026 removing 3550879 relations and 2672730 ideals in 878149 cliques
- Fri Aug 7 11:01:14 2026 commencing in-memory singleton removal
- Fri Aug 7 11:01:14 2026 begin with 25538835 relations and 27402424 unique ideals
- Fri Aug 7 11:01:16 2026 reduce to 25223235 relations and 24405500 ideals in 9 passes
- Fri Aug 7 11:01:16 2026 max relations containing the same ideal: 71
- Fri Aug 7 11:01:27 2026 removing 69329 relations and 60735 ideals in 8594 cliques
- Fri Aug 7 11:01:28 2026 commencing in-memory singleton removal
- Fri Aug 7 11:01:28 2026 begin with 25153906 relations and 24405500 unique ideals
- Fri Aug 7 11:01:30 2026 reduce to 25153805 relations and 24344664 ideals in 4 passes
- Fri Aug 7 11:01:30 2026 max relations containing the same ideal: 71
- Fri Aug 7 11:01:30 2026 trying target density 100
- Fri Aug 7 11:01:33 2026 relations with 0 large ideals: 2659
- Fri Aug 7 11:01:33 2026 relations with 1 large ideals: 14550
- Fri Aug 7 11:01:33 2026 relations with 2 large ideals: 203468
- Fri Aug 7 11:01:33 2026 relations with 3 large ideals: 1166203
- Fri Aug 7 11:01:33 2026 relations with 4 large ideals: 3543618
- Fri Aug 7 11:01:33 2026 relations with 5 large ideals: 6308477
- Fri Aug 7 11:01:33 2026 relations with 6 large ideals: 6896679
- Fri Aug 7 11:01:33 2026 relations with 7+ large ideals: 7018151
- Fri Aug 7 11:01:33 2026 commencing 2-way merge
- Fri Aug 7 11:01:45 2026 reduce to 15918353 relation sets and 15109212 unique ideals
- Fri Aug 7 11:01:45 2026 commencing full merge
- Fri Aug 7 11:06:32 2026 memory use: 1870.2 MB
- Fri Aug 7 11:06:34 2026 found 7564874 cycles, need 7467412
- Fri Aug 7 11:06:35 2026 weight of 7467412 cycles is about 747252240 (100.07/cycle)
- Fri Aug 7 11:06:35 2026 distribution of cycle lengths:
- Fri Aug 7 11:06:35 2026 1 relations: 462552
- Fri Aug 7 11:06:35 2026 2 relations: 590838
- Fri Aug 7 11:06:35 2026 3 relations: 652066
- Fri Aug 7 11:06:35 2026 4 relations: 641951
- Fri Aug 7 11:06:35 2026 5 relations: 640403
- Fri Aug 7 11:06:35 2026 6 relations: 619549
- Fri Aug 7 11:06:35 2026 7 relations: 588731
- Fri Aug 7 11:06:35 2026 8 relations: 544376
- Fri Aug 7 11:06:35 2026 9 relations: 492701
- Fri Aug 7 11:06:35 2026 10+ relations: 2234245
- Fri Aug 7 11:06:35 2026 heaviest cycle: 24 relations
- Fri Aug 7 11:06:37 2026 commencing cycle optimization
- Fri Aug 7 11:06:53 2026 start with 55504377 relations
- Fri Aug 7 11:08:42 2026 pruned 2098389 relations
- Fri Aug 7 11:08:43 2026 memory use: 1605.4 MB
- Fri Aug 7 11:08:43 2026 distribution of cycle lengths:
- Fri Aug 7 11:08:43 2026 1 relations: 462552
- Fri Aug 7 11:08:43 2026 2 relations: 606163
- Fri Aug 7 11:08:43 2026 3 relations: 679418
- Fri Aug 7 11:08:43 2026 4 relations: 666452
- Fri Aug 7 11:08:43 2026 5 relations: 668925
- Fri Aug 7 11:08:43 2026 6 relations: 644034
- Fri Aug 7 11:08:43 2026 7 relations: 612748
- Fri Aug 7 11:08:43 2026 8 relations: 562482
- Fri Aug 7 11:08:43 2026 9 relations: 506183
- Fri Aug 7 11:08:43 2026 10+ relations: 2058455
- Fri Aug 7 11:08:43 2026 heaviest cycle: 24 relations
- Fri Aug 7 11:08:55 2026 trying target density 120
- Fri Aug 7 11:08:58 2026 relations with 0 large ideals: 2659
- Fri Aug 7 11:08:58 2026 relations with 1 large ideals: 14550
- Fri Aug 7 11:08:58 2026 relations with 2 large ideals: 203468
- Fri Aug 7 11:08:58 2026 relations with 3 large ideals: 1166203
- Fri Aug 7 11:08:58 2026 relations with 4 large ideals: 3543618
- Fri Aug 7 11:08:58 2026 relations with 5 large ideals: 6308477
- Fri Aug 7 11:08:58 2026 relations with 6 large ideals: 6896679
- Fri Aug 7 11:08:58 2026 relations with 7+ large ideals: 7018151
- Fri Aug 7 11:08:58 2026 commencing 2-way merge
- Fri Aug 7 11:09:12 2026 reduce to 15918353 relation sets and 15109212 unique ideals
- Fri Aug 7 11:09:12 2026 commencing full merge
- Fri Aug 7 11:15:09 2026 memory use: 1910.0 MB
- Fri Aug 7 11:15:11 2026 found 7105483 cycles, need 7053412
- Fri Aug 7 11:15:13 2026 weight of 7053412 cycles is about 847163647 (120.11/cycle)
- Fri Aug 7 11:15:13 2026 distribution of cycle lengths:
- Fri Aug 7 11:15:13 2026 1 relations: 295945
- Fri Aug 7 11:15:13 2026 2 relations: 440861
- Fri Aug 7 11:15:13 2026 3 relations: 506087
- Fri Aug 7 11:15:13 2026 4 relations: 510447
- Fri Aug 7 11:15:13 2026 5 relations: 516573
- Fri Aug 7 11:15:13 2026 6 relations: 509418
- Fri Aug 7 11:15:13 2026 7 relations: 502313
- Fri Aug 7 11:15:13 2026 8 relations: 476555
- Fri Aug 7 11:15:13 2026 9 relations: 450665
- Fri Aug 7 11:15:13 2026 10+ relations: 2844548
- Fri Aug 7 11:15:13 2026 heaviest cycle: 28 relations
- Fri Aug 7 11:15:15 2026 commencing cycle optimization
- Fri Aug 7 11:15:30 2026 start with 62690598 relations
- Fri Aug 7 11:17:55 2026 pruned 2813772 relations
- Fri Aug 7 11:17:55 2026 memory use: 1678.6 MB
- Fri Aug 7 11:17:55 2026 distribution of cycle lengths:
- Fri Aug 7 11:17:55 2026 1 relations: 295945
- Fri Aug 7 11:17:55 2026 2 relations: 452833
- Fri Aug 7 11:17:55 2026 3 relations: 528294
- Fri Aug 7 11:17:55 2026 4 relations: 532006
- Fri Aug 7 11:17:55 2026 5 relations: 542102
- Fri Aug 7 11:17:55 2026 6 relations: 533233
- Fri Aug 7 11:17:55 2026 7 relations: 527039
- Fri Aug 7 11:17:55 2026 8 relations: 498805
- Fri Aug 7 11:17:55 2026 9 relations: 471764
- Fri Aug 7 11:17:55 2026 10+ relations: 2671391
- Fri Aug 7 11:17:55 2026 heaviest cycle: 28 relations
- Fri Aug 7 11:18:09 2026 trying target density 140
- Fri Aug 7 11:18:11 2026 relations with 0 large ideals: 2659
- Fri Aug 7 11:18:11 2026 relations with 1 large ideals: 14550
- Fri Aug 7 11:18:11 2026 relations with 2 large ideals: 203468
- Fri Aug 7 11:18:11 2026 relations with 3 large ideals: 1166203
- Fri Aug 7 11:18:11 2026 relations with 4 large ideals: 3543618
- Fri Aug 7 11:18:11 2026 relations with 5 large ideals: 6308477
- Fri Aug 7 11:18:11 2026 relations with 6 large ideals: 6896679
- Fri Aug 7 11:18:11 2026 relations with 7+ large ideals: 7018151
- Fri Aug 7 11:18:11 2026 commencing 2-way merge
- Fri Aug 7 11:18:26 2026 reduce to 15918353 relation sets and 15109212 unique ideals
- Fri Aug 7 11:18:26 2026 commencing full merge
- Fri Aug 7 11:29:56 2026 memory use: 704.7 MB
- Fri Aug 7 11:29:56 2026 found 23992 cycles, need 3560235
- Fri Aug 7 11:29:56 2026 too few cycles, matrix probably cannot build
- Fri Aug 7 11:29:59 2026 RelProcTime: 3192
- Fri Aug 7 11:29:59 2026
- Fri Aug 7 11:29:59 2026 commencing linear algebra
- Fri Aug 7 11:29:59 2026 using VBITS=256
- Fri Aug 7 11:29:59 2026 building matrices for all densities
- Fri Aug 7 11:29:59 2026 found 2 density files
- Fri Aug 7 11:29:59 2026 building matrix for density 100
- Fri Aug 7 11:30:02 2026 read 7467412 cycles
- Fri Aug 7 11:30:16 2026 cycles contain 24674157 unique relations
- Fri Aug 7 11:33:19 2026 read 24674157 relations
- Fri Aug 7 11:33:26 2026 using 20 quadratic characters above 4294917295
- Fri Aug 7 11:33:43 2026 building initial matrix
- Fri Aug 7 11:38:40 2026 memory use: 3394.8 MB
- Fri Aug 7 11:38:43 2026 read 7467412 cycles
- Fri Aug 7 11:38:45 2026 matrix is 7467234 x 7467412 (3036.4 MB) with weight 941448384 (126.07/col)
- Fri Aug 7 11:38:45 2026 sparse part has weight 706371061 (94.59/col)
- Fri Aug 7 11:39:46 2026 filtering completed in 2 passes
- Fri Aug 7 11:39:48 2026 matrix is 7466319 x 7466497 (3036.3 MB) with weight 941406175 (126.08/col)
- Fri Aug 7 11:39:48 2026 sparse part has weight 706358369 (94.60/col)
- Fri Aug 7 11:40:04 2026 building matrix for density 120
- Fri Aug 7 11:40:04 2026 read 7053412 cycles
- Fri Aug 7 11:40:17 2026 cycles contain 24677217 unique relations
- Fri Aug 7 11:40:59 2026 read 24677217 relations
- Fri Aug 7 11:41:09 2026 using 20 quadratic characters above 4294917295
- Fri Aug 7 11:41:23 2026 building initial matrix
- Fri Aug 7 11:46:52 2026 memory use: 3407.2 MB
- Fri Aug 7 11:46:56 2026 read 7053412 cycles
- Fri Aug 7 11:46:57 2026 matrix is 7053233 x 7053412 (3335.4 MB) with weight 1024564135 (145.26/col)
- Fri Aug 7 11:46:57 2026 sparse part has weight 789716016 (111.96/col)
- Fri Aug 7 11:48:06 2026 filtering completed in 2 passes
- Fri Aug 7 11:48:08 2026 matrix is 7052935 x 7053114 (3335.4 MB) with weight 1024547067 (145.26/col)
- Fri Aug 7 11:48:08 2026 sparse part has weight 789709518 (111.97/col)
- Fri Aug 7 11:48:25 2026 BLanczosTime: 1106
- Fri Aug 7 11:48:25 2026 elapsed time 01:11:38
- Fri Aug 7 21:08:32 2026
- Fri Aug 7 21:08:32 2026
- Fri Aug 7 21:08:32 2026 Msieve v. 1.54 (SVN unknown)
- Fri Aug 7 21:08:32 2026 random seeds: 35667174 4aab3735
- Fri Aug 7 21:08:32 2026 Using 14 OpenMP threads
- Fri Aug 7 21:08:32 2026 factoring 6034169050372704249961084867063122523348838278803050287244354505305991592566072197445421073773490394094393372574917054322921985724509847602485007732952439571107951611 (166 digits)
- Fri Aug 7 21:08:32 2026 no P-1/P+1/ECM available, skipping
- Fri Aug 7 21:08:32 2026 commencing number field sieve (166-digit input)
- Fri Aug 7 21:08:32 2026 R0: -159770968560418431603669574682389
- Fri Aug 7 21:08:32 2026 R1: 19166230516278715199
- Fri Aug 7 21:08:32 2026 A0: -357873392718403420602493302147452005680
- Fri Aug 7 21:08:32 2026 A1: 1124251973856847387997721567561512
- Fri Aug 7 21:08:32 2026 A2: 53599380485342883170049843
- Fri Aug 7 21:08:32 2026 A3: -23424989430518769613
- Fri Aug 7 21:08:32 2026 A4: -542165734834
- Fri Aug 7 21:08:32 2026 A5: 115920
- Fri Aug 7 21:08:32 2026 skew 7411608.41, size 4.988e-16, alpha -6.377, combined = 7.625e-13 rroots = 5
- Fri Aug 7 21:08:32 2026
- Fri Aug 7 21:08:32 2026 commencing linear algebra
- Fri Aug 7 21:08:32 2026 using VBITS=256
- Fri Aug 7 21:08:32 2026 skipping matrix build
- Fri Aug 7 21:09:41 2026 matrix starts at (0, 0)
- Fri Aug 7 21:09:43 2026 matrix is 7052935 x 7053114 (3335.4 MB) with weight 1024547067 (145.26/col)
- Fri Aug 7 21:09:43 2026 sparse part has weight 789709518 (111.97/col)
- Fri Aug 7 21:09:43 2026 saving the first 240 matrix rows for later
- Fri Aug 7 21:09:45 2026 matrix includes 256 packed rows
- Fri Aug 7 21:09:47 2026 matrix is 7052695 x 7053114 (3033.4 MB) with weight 726992847 (103.07/col)
- Fri Aug 7 21:09:47 2026 sparse part has weight 682327803 (96.74/col)
- Fri Aug 7 21:09:47 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
- Fri Aug 7 21:09:47 2026 selected card has CUDA arch 12.0
- Fri Aug 7 21:09:48 2026 computed block_nnz 128000000 (L2 cache 50331648 bytes, average column weight 96.7)
- Fri Aug 7 21:09:48 2026 nonzeros per matrix block: 128000000
- Fri Aug 7 21:10:40 2026 commencing Lanczos iteration
- Fri Aug 7 21:10:47 2026 memory use: 7250.6 MB
- Fri Aug 7 21:11:02 2026 linear algebra at 0.4%, ETA 1h 1m
- Fri Aug 7 21:11:22 2026 checking every 120000 dimensions, checkpointing every 7800000 dimensions
- Fri Aug 7 22:07:14 2026 lanczos halted after 27633 iterations (dim = 7052695)
- Fri Aug 7 22:07:33 2026 recovered 32 nontrivial dependencies
- Fri Aug 7 22:07:34 2026 BLanczosTime: 3542
- Fri Aug 7 22:07:34 2026
- Fri Aug 7 22:07:34 2026 commencing square root phase
- Fri Aug 7 22:07:34 2026 handling dependencies 1 to 64
- Fri Aug 7 22:07:34 2026 reading relations for dependency 1
- Fri Aug 7 22:07:45 2026 read 3525209 cycles
- Fri Aug 7 22:07:52 2026 cycles contain 12334296 unique relations
- Fri Aug 7 22:11:56 2026 read 12334296 relations
- Fri Aug 7 22:13:05 2026 multiplying 12334296 relations
- Fri Aug 7 22:14:49 2026 multiply complete, coefficients have about 652.50 million bits
- Fri Aug 7 22:14:52 2026 initial square root is modulo 714479
- Fri Aug 7 22:18:38 2026 sqrtTime: 664
- Fri Aug 7 22:18:38 2026 p78 factor: 487654368163574192946974347132516826629678831658293502649990001829264271220837
- Fri Aug 7 22:18:38 2026 p89 factor: 12373864450545964060405530146833884973073189176092731340728480240179172639440453955374303
- Fri Aug 7 22:18:38 2026 elapsed time 01:10:06
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