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- Thu Mar 19 16:56:36 2026
- Thu Mar 19 16:56:36 2026
- Thu Mar 19 16:56:36 2026 Msieve v. 1.54 (SVN Unversioned directory)
- Thu Mar 19 16:56:36 2026 random seeds: 660279c7 412a014a
- Thu Mar 19 16:56:36 2026 MPI process 0 of 1
- Thu Mar 19 16:56:36 2026 Using 46 OpenMP threads
- Thu Mar 19 16:56:36 2026 factoring 13553097702443626528355393027302864423435855238217950608818067325728972410780285361501288443939512975404816111193291923971738665696861188925190674688563281603023569931820206101 (176 digits)
- Thu Mar 19 16:56:37 2026 no P-1/P+1/ECM available, skipping
- Thu Mar 19 16:56:37 2026 commencing number field sieve (176-digit input)
- Thu Mar 19 16:56:37 2026 R0: -11767672360699968615482843247239370
- Thu Mar 19 16:56:37 2026 R1: 775802197532900245423
- Thu Mar 19 16:56:37 2026 A0: 43591851594194179027895884329973934748312
- Thu Mar 19 16:56:37 2026 A1: 19833213741402047134316476463471887
- Thu Mar 19 16:56:37 2026 A2: -516918662927854588690838314
- Thu Mar 19 16:56:37 2026 A3: -311781345938516447201
- Thu Mar 19 16:56:37 2026 A4: 5042483195148
- Thu Mar 19 16:56:37 2026 A5: 360360
- Thu Mar 19 16:56:37 2026 skew 14491810.16, size 5.936e-17, alpha -6.771, combined = 2.185e-13 rroots = 5
- Thu Mar 19 16:56:37 2026
- Thu Mar 19 16:56:37 2026 commencing relation filtering
- Thu Mar 19 16:56:37 2026 setting target matrix density to 110.0
- Thu Mar 19 16:56:37 2026 estimated available RAM is 385607.8 MB
- Thu Mar 19 16:56:37 2026 commencing duplicate removal, pass 1
- Thu Mar 19 16:57:14 2026 error -11 reading relation 60852919
- Thu Mar 19 16:57:15 2026 error -1 reading relation 61462486
- Thu Mar 19 16:58:39 2026 error -1 reading relation 198064611
- Thu Mar 19 16:59:19 2026 skipped 1 relations with composite factors
- Thu Mar 19 16:59:19 2026 skipped 120 malformed relations
- Thu Mar 19 16:59:19 2026 found 15002138 hash collisions in 264254538 relations
- Thu Mar 19 16:59:41 2026 added 121837 free relations
- Thu Mar 19 16:59:41 2026 commencing duplicate removal, pass 2
- Thu Mar 19 17:00:37 2026 found 0 duplicates and 264376375 unique relations
- Thu Mar 19 17:00:37 2026 memory use: 852.8 MB
- Thu Mar 19 17:00:37 2026 reading ideals above 720000
- Thu Mar 19 17:00:37 2026 commencing singleton removal, initial pass
- Thu Mar 19 17:08:29 2026 memory use: 6024.0 MB
- Thu Mar 19 17:08:30 2026 reading all ideals from disk
- Thu Mar 19 17:08:36 2026 memory use: 12558.1 MB
- Thu Mar 19 17:08:53 2026 keeping 245569067 ideals with weight <= 200, target excess is 1613405
- Thu Mar 19 17:09:14 2026 commencing in-memory singleton removal
- Thu Mar 19 17:09:16 2026 begin with 264376375 relations and 245569067 unique ideals
- Thu Mar 19 17:09:26 2026 reduce to 162870454 relations and 133305387 ideals in 14 passes
- Thu Mar 19 17:09:26 2026 max relations containing the same ideal: 153
- Thu Mar 19 17:10:01 2026 removing 12133348 relations and 10133348 ideals in 2000000 cliques
- Thu Mar 19 17:10:06 2026 commencing in-memory singleton removal
- Thu Mar 19 17:10:07 2026 begin with 150737106 relations and 133305387 unique ideals
- Thu Mar 19 17:10:12 2026 reduce to 150032936 relations and 122456492 ideals in 9 passes
- Thu Mar 19 17:10:12 2026 max relations containing the same ideal: 145
- Thu Mar 19 17:10:46 2026 removing 9230973 relations and 7230973 ideals in 2000000 cliques
- Thu Mar 19 17:10:50 2026 commencing in-memory singleton removal
- Thu Mar 19 17:10:51 2026 begin with 140801963 relations and 122456492 unique ideals
- Thu Mar 19 17:10:55 2026 reduce to 140337601 relations and 114754619 ideals in 8 passes
- Thu Mar 19 17:10:55 2026 max relations containing the same ideal: 141
- Thu Mar 19 17:11:28 2026 removing 8342893 relations and 6342893 ideals in 2000000 cliques
- Thu Mar 19 17:11:32 2026 commencing in-memory singleton removal
- Thu Mar 19 17:11:33 2026 begin with 131994708 relations and 114754619 unique ideals
- Thu Mar 19 17:11:37 2026 reduce to 131584818 relations and 107996301 ideals in 7 passes
- Thu Mar 19 17:11:37 2026 max relations containing the same ideal: 133
- Thu Mar 19 17:12:07 2026 removing 7877976 relations and 5877976 ideals in 2000000 cliques
- Thu Mar 19 17:12:10 2026 commencing in-memory singleton removal
- Thu Mar 19 17:12:12 2026 begin with 123706842 relations and 107996301 unique ideals
- Thu Mar 19 17:12:15 2026 reduce to 123319135 relations and 101725130 ideals in 7 passes
- Thu Mar 19 17:12:15 2026 max relations containing the same ideal: 129
- Thu Mar 19 17:12:43 2026 removing 7598568 relations and 5598568 ideals in 2000000 cliques
- Thu Mar 19 17:12:47 2026 commencing in-memory singleton removal
- Thu Mar 19 17:12:48 2026 begin with 115720567 relations and 101725130 unique ideals
- Thu Mar 19 17:12:51 2026 reduce to 115339361 relations and 95739722 ideals in 7 passes
- Thu Mar 19 17:12:51 2026 max relations containing the same ideal: 122
- Thu Mar 19 17:13:17 2026 removing 7414809 relations and 5414809 ideals in 2000000 cliques
- Thu Mar 19 17:13:20 2026 commencing in-memory singleton removal
- Thu Mar 19 17:13:21 2026 begin with 107924552 relations and 95739722 unique ideals
- Thu Mar 19 17:13:24 2026 reduce to 107539413 relations and 89933766 ideals in 8 passes
- Thu Mar 19 17:13:24 2026 max relations containing the same ideal: 116
- Thu Mar 19 17:13:50 2026 removing 7301027 relations and 5301027 ideals in 2000000 cliques
- Thu Mar 19 17:13:53 2026 commencing in-memory singleton removal
- Thu Mar 19 17:13:54 2026 begin with 100238386 relations and 89933766 unique ideals
- Thu Mar 19 17:13:56 2026 reduce to 99842898 relations and 84230634 ideals in 7 passes
- Thu Mar 19 17:13:56 2026 max relations containing the same ideal: 111
- Thu Mar 19 17:14:19 2026 removing 7227775 relations and 5227775 ideals in 2000000 cliques
- Thu Mar 19 17:14:22 2026 commencing in-memory singleton removal
- Thu Mar 19 17:14:23 2026 begin with 92615123 relations and 84230634 unique ideals
- Thu Mar 19 17:14:26 2026 reduce to 92200782 relations and 78581027 ideals in 9 passes
- Thu Mar 19 17:14:26 2026 max relations containing the same ideal: 107
- Thu Mar 19 17:14:48 2026 removing 7191866 relations and 5191866 ideals in 2000000 cliques
- Thu Mar 19 17:14:51 2026 commencing in-memory singleton removal
- Thu Mar 19 17:14:51 2026 begin with 85008916 relations and 78581027 unique ideals
- Thu Mar 19 17:14:54 2026 reduce to 84566885 relations and 72938761 ideals in 8 passes
- Thu Mar 19 17:14:54 2026 max relations containing the same ideal: 99
- Thu Mar 19 17:15:14 2026 removing 7195266 relations and 5195266 ideals in 2000000 cliques
- Thu Mar 19 17:15:17 2026 commencing in-memory singleton removal
- Thu Mar 19 17:15:17 2026 begin with 77371619 relations and 72938761 unique ideals
- Thu Mar 19 17:15:19 2026 reduce to 76887094 relations and 67248936 ideals in 7 passes
- Thu Mar 19 17:15:19 2026 max relations containing the same ideal: 93
- Thu Mar 19 17:15:38 2026 removing 7228509 relations and 5228509 ideals in 2000000 cliques
- Thu Mar 19 17:15:41 2026 commencing in-memory singleton removal
- Thu Mar 19 17:15:42 2026 begin with 69658585 relations and 67248936 unique ideals
- Thu Mar 19 17:15:43 2026 reduce to 69117515 relations and 61467105 ideals in 8 passes
- Thu Mar 19 17:15:43 2026 max relations containing the same ideal: 88
- Thu Mar 19 17:16:01 2026 removing 7304139 relations and 5304139 ideals in 2000000 cliques
- Thu Mar 19 17:16:03 2026 commencing in-memory singleton removal
- Thu Mar 19 17:16:04 2026 begin with 61813376 relations and 61467105 unique ideals
- Thu Mar 19 17:16:06 2026 reduce to 61189019 relations and 55522969 ideals in 8 passes
- Thu Mar 19 17:16:06 2026 max relations containing the same ideal: 79
- Thu Mar 19 17:16:21 2026 removing 7428464 relations and 5428464 ideals in 2000000 cliques
- Thu Mar 19 17:16:24 2026 commencing in-memory singleton removal
- Thu Mar 19 17:16:24 2026 begin with 53760555 relations and 55522969 unique ideals
- Thu Mar 19 17:16:26 2026 reduce to 53013807 relations and 49327066 ideals in 9 passes
- Thu Mar 19 17:16:26 2026 max relations containing the same ideal: 72
- Thu Mar 19 17:16:40 2026 removing 7073377 relations and 5258186 ideals in 1815191 cliques
- Thu Mar 19 17:16:42 2026 commencing in-memory singleton removal
- Thu Mar 19 17:16:42 2026 begin with 45940430 relations and 49327066 unique ideals
- Thu Mar 19 17:16:44 2026 reduce to 45133377 relations and 43238137 ideals in 10 passes
- Thu Mar 19 17:16:44 2026 max relations containing the same ideal: 68
- Thu Mar 19 17:16:56 2026 removing 207925 relations and 184235 ideals in 23690 cliques
- Thu Mar 19 17:16:57 2026 commencing in-memory singleton removal
- Thu Mar 19 17:16:57 2026 begin with 44925452 relations and 43238137 unique ideals
- Thu Mar 19 17:16:58 2026 reduce to 44924873 relations and 43053323 ideals in 5 passes
- Thu Mar 19 17:16:58 2026 max relations containing the same ideal: 66
- Thu Mar 19 17:17:02 2026 relations with 0 large ideals: 11967
- Thu Mar 19 17:17:02 2026 relations with 1 large ideals: 135143
- Thu Mar 19 17:17:02 2026 relations with 2 large ideals: 974604
- Thu Mar 19 17:17:02 2026 relations with 3 large ideals: 3800823
- Thu Mar 19 17:17:02 2026 relations with 4 large ideals: 8777344
- Thu Mar 19 17:17:02 2026 relations with 5 large ideals: 12435656
- Thu Mar 19 17:17:02 2026 relations with 6 large ideals: 10920356
- Thu Mar 19 17:17:02 2026 relations with 7+ large ideals: 7868980
- Thu Mar 19 17:17:02 2026 commencing 2-way merge
- Thu Mar 19 17:17:20 2026 reduce to 27358162 relation sets and 25486612 unique ideals
- Thu Mar 19 17:17:20 2026 commencing full merge
- Thu Mar 19 17:21:55 2026 memory use: 2721.3 MB
- Thu Mar 19 17:21:57 2026 found 12199856 cycles, need 11992812
- Thu Mar 19 17:22:01 2026 weight of 11992812 cycles is about 1319396786 (110.02/cycle)
- Thu Mar 19 17:22:01 2026 distribution of cycle lengths:
- Thu Mar 19 17:22:01 2026 1 relations: 861341
- Thu Mar 19 17:22:01 2026 2 relations: 839158
- Thu Mar 19 17:22:01 2026 3 relations: 920814
- Thu Mar 19 17:22:01 2026 4 relations: 928829
- Thu Mar 19 17:22:01 2026 5 relations: 941680
- Thu Mar 19 17:22:01 2026 6 relations: 927753
- Thu Mar 19 17:22:01 2026 7 relations: 897678
- Thu Mar 19 17:22:01 2026 8 relations: 846335
- Thu Mar 19 17:22:01 2026 9 relations: 777595
- Thu Mar 19 17:22:01 2026 10+ relations: 4051629
- Thu Mar 19 17:22:01 2026 heaviest cycle: 25 relations
- Thu Mar 19 17:22:04 2026 commencing cycle optimization
- Thu Mar 19 17:22:22 2026 start with 94493112 relations
- Thu Mar 19 17:24:23 2026 pruned 3369930 relations
- Thu Mar 19 17:24:23 2026 memory use: 2778.6 MB
- Thu Mar 19 17:24:23 2026 distribution of cycle lengths:
- Thu Mar 19 17:24:23 2026 1 relations: 861341
- Thu Mar 19 17:24:23 2026 2 relations: 861702
- Thu Mar 19 17:24:23 2026 3 relations: 957343
- Thu Mar 19 17:24:23 2026 4 relations: 963150
- Thu Mar 19 17:24:23 2026 5 relations: 981556
- Thu Mar 19 17:24:23 2026 6 relations: 964096
- Thu Mar 19 17:24:23 2026 7 relations: 933932
- Thu Mar 19 17:24:23 2026 8 relations: 873992
- Thu Mar 19 17:24:23 2026 9 relations: 801090
- Thu Mar 19 17:24:23 2026 10+ relations: 3794610
- Thu Mar 19 17:24:23 2026 heaviest cycle: 25 relations
- Thu Mar 19 17:24:47 2026 RelProcTime: 1690
- Thu Mar 19 17:24:47 2026 elapsed time 00:28:11
- Thu Mar 19 17:24:48 2026
- Thu Mar 19 17:24:48 2026
- Thu Mar 19 17:24:48 2026 Msieve v. 1.54 (SVN Unversioned directory)
- Thu Mar 19 17:24:48 2026 random seeds: 97726bf8 e9e3a07b
- Thu Mar 19 17:24:48 2026 MPI process 0 of 1
- Thu Mar 19 17:24:48 2026 Using 46 OpenMP threads
- Thu Mar 19 17:24:48 2026 factoring 13553097702443626528355393027302864423435855238217950608818067325728972410780285361501288443939512975404816111193291923971738665696861188925190674688563281603023569931820206101 (176 digits)
- Thu Mar 19 17:24:48 2026 no P-1/P+1/ECM available, skipping
- Thu Mar 19 17:24:48 2026 commencing number field sieve (176-digit input)
- Thu Mar 19 17:24:48 2026 R0: -11767672360699968615482843247239370
- Thu Mar 19 17:24:48 2026 R1: 775802197532900245423
- Thu Mar 19 17:24:48 2026 A0: 43591851594194179027895884329973934748312
- Thu Mar 19 17:24:48 2026 A1: 19833213741402047134316476463471887
- Thu Mar 19 17:24:48 2026 A2: -516918662927854588690838314
- Thu Mar 19 17:24:48 2026 A3: -311781345938516447201
- Thu Mar 19 17:24:48 2026 A4: 5042483195148
- Thu Mar 19 17:24:48 2026 A5: 360360
- Thu Mar 19 17:24:48 2026 skew 14491810.16, size 5.936e-17, alpha -6.771, combined = 2.185e-13 rroots = 5
- Thu Mar 19 17:24:48 2026
- Thu Mar 19 17:24:48 2026 commencing linear algebra
- Thu Mar 19 17:24:48 2026 using VBITS=256
- Thu Mar 19 17:24:48 2026 stopping after matrix build
- Thu Mar 19 17:24:48 2026 initialized process (0,0) of 1 x 1 grid
- Thu Mar 19 17:24:50 2026 read 11992812 cycles
- Thu Mar 19 17:25:11 2026 cycles contain 43655112 unique relations
- Thu Mar 19 17:25:32 2026 read 43655112 relations
- Thu Mar 19 17:25:35 2026 using 20 quadratic characters above 4294917295
- Thu Mar 19 17:25:41 2026 building initial matrix
- Thu Mar 19 17:32:36 2026 memory use: 5986.0 MB
- Thu Mar 19 17:32:46 2026 read 11992812 cycles
- Thu Mar 19 17:32:47 2026 matrix is 11992626 x 11992812 (5254.3 MB) with weight 1610010455 (134.25/col)
- Thu Mar 19 17:32:47 2026 sparse part has weight 1245452273 (103.85/col)
- Thu Mar 19 17:34:51 2026 filtering completed in 2 passes
- Thu Mar 19 17:34:53 2026 matrix is 11988189 x 11988375 (5253.8 MB) with weight 1609791058 (134.28/col)
- Thu Mar 19 17:34:53 2026 sparse part has weight 1245373187 (103.88/col)
- Thu Mar 19 17:35:18 2026 BLanczosTime: 630
- Thu Mar 19 17:35:18 2026 elapsed time 00:10:30
- Thu Mar 19 17:35:20 2026
- Thu Mar 19 17:35:20 2026
- Thu Mar 19 17:35:20 2026 Msieve v. 1.54 (SVN Unversioned directory)
- Thu Mar 19 17:35:20 2026 random seeds: 37b7a9df fe2e91d1
- Thu Mar 19 17:35:20 2026 MPI process 0 of 1
- Thu Mar 19 17:35:20 2026 Using 6 OpenMP threads
- Thu Mar 19 17:35:20 2026 factoring 13553097702443626528355393027302864423435855238217950608818067325728972410780285361501288443939512975404816111193291923971738665696861188925190674688563281603023569931820206101 (176 digits)
- Thu Mar 19 17:35:22 2026 no P-1/P+1/ECM available, skipping
- Thu Mar 19 17:35:22 2026 commencing number field sieve (176-digit input)
- Thu Mar 19 17:35:22 2026 R0: -11767672360699968615482843247239370
- Thu Mar 19 17:35:22 2026 R1: 775802197532900245423
- Thu Mar 19 17:35:22 2026 A0: 43591851594194179027895884329973934748312
- Thu Mar 19 17:35:22 2026 A1: 19833213741402047134316476463471887
- Thu Mar 19 17:35:22 2026 A2: -516918662927854588690838314
- Thu Mar 19 17:35:22 2026 A3: -311781345938516447201
- Thu Mar 19 17:35:22 2026 A4: 5042483195148
- Thu Mar 19 17:35:22 2026 A5: 360360
- Thu Mar 19 17:35:22 2026 skew 14491810.16, size 5.936e-17, alpha -6.771, combined = 2.185e-13 rroots = 5
- Thu Mar 19 17:35:22 2026
- Thu Mar 19 17:35:22 2026 commencing linear algebra
- Thu Mar 19 17:35:22 2026 using VBITS=256
- Thu Mar 19 17:35:22 2026 skipping matrix build
- Thu Mar 19 17:35:22 2026 initialized process (0,0) of 1 x 1 grid
- Thu Mar 19 17:35:45 2026 matrix starts at (0, 0)
- Thu Mar 19 17:35:51 2026 matrix is 11988189 x 11988375 (5253.8 MB) with weight 1609791058 (134.28/col)
- Thu Mar 19 17:35:51 2026 sparse part has weight 1245373187 (103.88/col)
- Thu Mar 19 17:35:51 2026 saving the first 240 matrix rows for later
- Thu Mar 19 17:36:00 2026 matrix includes 256 packed rows
- Thu Mar 19 17:36:11 2026 matrix is 11987949 x 11988375 (4809.5 MB) with weight 1137591808 (94.89/col)
- Thu Mar 19 17:36:11 2026 sparse part has weight 1068958596 (89.17/col)
- Thu Mar 19 17:36:11 2026 using GPU 0 (NVIDIA A100-SXM4-40GB)
- Thu Mar 19 17:36:11 2026 selected card has CUDA arch 8.0
- Thu Mar 19 17:40:56 2026 commencing Lanczos iteration
- Thu Mar 19 17:40:59 2026 memory use: 11539.7 MB
- Thu Mar 19 17:41:22 2026 linear algebra at 0.3%, ETA 2h16m
- Thu Mar 19 17:41:54 2026 checking every 80000 dimensions, checkpointing every 5280000 dimensions
- Thu Mar 19 20:00:32 2026 lanczos halted after 46970 iterations (dim = 11987947)
- Thu Mar 19 20:03:41 2026 recovered 28 nontrivial dependencies
- Thu Mar 19 20:03:42 2026 BLanczosTime: 8900
- Thu Mar 19 20:03:42 2026 elapsed time 02:28:22
- Thu Mar 19 20:26:09 2026
- Thu Mar 19 20:26:09 2026
- Thu Mar 19 20:26:09 2026 Msieve v. 1.54 (SVN Unversioned directory)
- Thu Mar 19 20:26:09 2026 random seeds: 784e56a2 3f371bb2
- Thu Mar 19 20:26:09 2026 MPI process 0 of 1
- Thu Mar 19 20:26:09 2026 Using 32 OpenMP threads
- Thu Mar 19 20:26:09 2026 factoring 13553097702443626528355393027302864423435855238217950608818067325728972410780285361501288443939512975404816111193291923971738665696861188925190674688563281603023569931820206101 (176 digits)
- Thu Mar 19 20:26:09 2026 no P-1/P+1/ECM available, skipping
- Thu Mar 19 20:26:09 2026 commencing number field sieve (176-digit input)
- Thu Mar 19 20:26:09 2026 R0: -11767672360699968615482843247239370
- Thu Mar 19 20:26:09 2026 R1: 775802197532900245423
- Thu Mar 19 20:26:09 2026 A0: 43591851594194179027895884329973934748312
- Thu Mar 19 20:26:09 2026 A1: 19833213741402047134316476463471887
- Thu Mar 19 20:26:09 2026 A2: -516918662927854588690838314
- Thu Mar 19 20:26:09 2026 A3: -311781345938516447201
- Thu Mar 19 20:26:09 2026 A4: 5042483195148
- Thu Mar 19 20:26:09 2026 A5: 360360
- Thu Mar 19 20:26:09 2026 skew 14491810.16, size 5.936e-17, alpha -6.771, combined = 2.185e-13 rroots = 5
- Thu Mar 19 20:26:09 2026
- Thu Mar 19 20:26:09 2026 commencing square root phase
- Thu Mar 19 20:26:09 2026 reading relations for dependency 1
- Thu Mar 19 20:26:10 2026 read 5994806 cycles
- Thu Mar 19 20:26:18 2026 cycles contain 21831048 unique relations
- Thu Mar 19 20:26:41 2026 read 21831048 relations
- Thu Mar 19 20:27:38 2026 multiplying 21831048 relations
- Thu Mar 19 20:29:16 2026 multiply complete, coefficients have about 1225.39 million bits
- Thu Mar 19 20:29:18 2026 initial square root is modulo 313879
- Thu Mar 19 20:34:44 2026 sqrtTime: 515
- Thu Mar 19 20:34:44 2026 p70 factor: 6026263539307442042454598446584343521922264076892896151681447719647337
- Thu Mar 19 20:34:44 2026 p106 factor: 2249005144571090718974538600478532667392212296894935282435525116952104455668480980869875796939567324986573
- Thu Mar 19 20:34:44 2026 elapsed time 00:08:35
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