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- Fri May 1 10:44:39 2026
- Fri May 1 10:44:39 2026
- Fri May 1 10:44:39 2026 Msieve v. 1.54 (SVN Unversioned directory)
- Fri May 1 10:44:39 2026 random seeds: 5ce7078c 4a39413e
- Fri May 1 10:44:39 2026 MPI process 0 of 1
- Fri May 1 10:44:39 2026 Using 46 OpenMP threads
- Fri May 1 10:44:39 2026 factoring 414252152229380698896940596341204689126505724685942287400369619872829652697903756948271773238528015851962877611832843225342050420048574267761668259819960435297080924710913187020406571990565981 (192 digits)
- Fri May 1 10:44:40 2026 no P-1/P+1/ECM available, skipping
- Fri May 1 10:44:40 2026 commencing number field sieve (192-digit input)
- Fri May 1 10:44:40 2026 R0: 20301532566491775198119454046923566942
- Fri May 1 10:44:40 2026 R1: -157496815834071338521591
- Fri May 1 10:44:40 2026 A0: 1990120081043691029435645888839105069034486205
- Fri May 1 10:44:40 2026 A1: 20886501781133123906055436934261868449
- Fri May 1 10:44:40 2026 A2: -1140358988257932068129715818799
- Fri May 1 10:44:40 2026 A3: -6019220980837392931905
- Fri May 1 10:44:40 2026 A4: 190003825948954
- Fri May 1 10:44:40 2026 A5: 120120
- Fri May 1 10:44:40 2026 skew 1.00, size 1.249e-18, alpha -6.704, combined = 4.297e-17 rroots = 3
- Fri May 1 10:44:40 2026
- Fri May 1 10:44:40 2026 commencing relation filtering
- Fri May 1 10:44:40 2026 setting target matrix density to 110.0
- Fri May 1 10:44:40 2026 estimated available RAM is 385608.3 MB
- Fri May 1 10:44:40 2026 commencing duplicate removal, pass 1
- Fri May 1 10:46:48 2026 error -15 reading relation 137542086
- Fri May 1 10:48:07 2026 error -1 reading relation 256459751
- Fri May 1 10:48:29 2026 error -11 reading relation 289626744
- Fri May 1 10:49:29 2026 error -1 reading relation 380609068
- Fri May 1 10:50:12 2026 error -1 reading relation 444535527
- Fri May 1 10:50:25 2026 error -1 reading relation 463908560
- Fri May 1 10:50:35 2026 error -1 reading relation 477972678
- Fri May 1 10:50:42 2026 skipped 740 malformed relations
- Fri May 1 10:50:42 2026 found 25764680 hash collisions in 488255491 relations
- Fri May 1 10:51:04 2026 added 122259 free relations
- Fri May 1 10:51:04 2026 commencing duplicate removal, pass 2
- Fri May 1 10:53:10 2026 found 0 duplicates and 488377750 unique relations
- Fri May 1 10:53:10 2026 memory use: 1577.5 MB
- Fri May 1 10:53:10 2026 reading ideals above 720000
- Fri May 1 10:53:11 2026 commencing singleton removal, initial pass
- Fri May 1 11:13:33 2026 memory use: 11024.0 MB
- Fri May 1 11:13:33 2026 reading all ideals from disk
- Fri May 1 11:13:49 2026 memory use: 24467.0 MB
- Fri May 1 11:14:48 2026 keeping 475765714 ideals with weight <= 200, target excess is 2495447
- Fri May 1 11:15:54 2026 commencing in-memory singleton removal
- Fri May 1 11:15:58 2026 begin with 488377750 relations and 475765714 unique ideals
- Fri May 1 11:16:21 2026 reduce to 282788395 relations and 246799803 ideals in 15 passes
- Fri May 1 11:16:21 2026 max relations containing the same ideal: 149
- Fri May 1 11:17:51 2026 removing 16321464 relations and 14321464 ideals in 2000000 cliques
- Fri May 1 11:17:58 2026 commencing in-memory singleton removal
- Fri May 1 11:18:01 2026 begin with 266466931 relations and 246799803 unique ideals
- Fri May 1 11:18:10 2026 reduce to 265702404 relations and 231706124 ideals in 9 passes
- Fri May 1 11:18:10 2026 max relations containing the same ideal: 144
- Fri May 1 11:19:27 2026 removing 12226390 relations and 10226390 ideals in 2000000 cliques
- Fri May 1 11:19:34 2026 commencing in-memory singleton removal
- Fri May 1 11:19:36 2026 begin with 253476014 relations and 231706124 unique ideals
- Fri May 1 11:19:45 2026 reduce to 252999490 relations and 220999121 ideals in 9 passes
- Fri May 1 11:19:45 2026 max relations containing the same ideal: 137
- Fri May 1 11:21:00 2026 removing 10948920 relations and 8948920 ideals in 2000000 cliques
- Fri May 1 11:21:07 2026 commencing in-memory singleton removal
- Fri May 1 11:21:09 2026 begin with 242050570 relations and 220999121 unique ideals
- Fri May 1 11:21:16 2026 reduce to 241645141 relations and 211641444 ideals in 8 passes
- Fri May 1 11:21:16 2026 max relations containing the same ideal: 133
- Fri May 1 11:22:29 2026 removing 10257055 relations and 8257055 ideals in 2000000 cliques
- Fri May 1 11:22:35 2026 commencing in-memory singleton removal
- Fri May 1 11:22:37 2026 begin with 231388086 relations and 211641444 unique ideals
- Fri May 1 11:22:44 2026 reduce to 231014482 relations and 203007773 ideals in 8 passes
- Fri May 1 11:22:44 2026 max relations containing the same ideal: 127
- Fri May 1 11:23:52 2026 removing 9814668 relations and 7814668 ideals in 2000000 cliques
- Fri May 1 11:23:58 2026 commencing in-memory singleton removal
- Fri May 1 11:24:00 2026 begin with 221199814 relations and 203007773 unique ideals
- Fri May 1 11:24:07 2026 reduce to 220843775 relations and 194834173 ideals in 8 passes
- Fri May 1 11:24:07 2026 max relations containing the same ideal: 125
- Fri May 1 11:25:13 2026 removing 9499136 relations and 7499136 ideals in 2000000 cliques
- Fri May 1 11:25:18 2026 commencing in-memory singleton removal
- Fri May 1 11:25:20 2026 begin with 211344639 relations and 194834173 unique ideals
- Fri May 1 11:25:27 2026 reduce to 210994760 relations and 186982181 ideals in 8 passes
- Fri May 1 11:25:27 2026 max relations containing the same ideal: 121
- Fri May 1 11:26:30 2026 removing 9275861 relations and 7275861 ideals in 2000000 cliques
- Fri May 1 11:26:36 2026 commencing in-memory singleton removal
- Fri May 1 11:26:37 2026 begin with 201718899 relations and 186982181 unique ideals
- Fri May 1 11:26:43 2026 reduce to 201369708 relations and 179354065 ideals in 7 passes
- Fri May 1 11:26:43 2026 max relations containing the same ideal: 119
- Fri May 1 11:27:43 2026 removing 9113404 relations and 7113404 ideals in 2000000 cliques
- Fri May 1 11:27:48 2026 commencing in-memory singleton removal
- Fri May 1 11:27:50 2026 begin with 192256304 relations and 179354065 unique ideals
- Fri May 1 11:27:55 2026 reduce to 191901774 relations and 171882969 ideals in 8 passes
- Fri May 1 11:27:55 2026 max relations containing the same ideal: 115
- Fri May 1 11:28:52 2026 removing 9000707 relations and 7000707 ideals in 2000000 cliques
- Fri May 1 11:28:57 2026 commencing in-memory singleton removal
- Fri May 1 11:28:59 2026 begin with 182901067 relations and 171882969 unique ideals
- Fri May 1 11:29:04 2026 reduce to 182540164 relations and 164518042 ideals in 8 passes
- Fri May 1 11:29:04 2026 max relations containing the same ideal: 110
- Fri May 1 11:29:59 2026 removing 8924169 relations and 6924169 ideals in 2000000 cliques
- Fri May 1 11:30:04 2026 commencing in-memory singleton removal
- Fri May 1 11:30:05 2026 begin with 173615995 relations and 164518042 unique ideals
- Fri May 1 11:30:11 2026 reduce to 173241945 relations and 157216116 ideals in 8 passes
- Fri May 1 11:30:11 2026 max relations containing the same ideal: 106
- Fri May 1 11:31:02 2026 removing 8879054 relations and 6879054 ideals in 2000000 cliques
- Fri May 1 11:31:06 2026 commencing in-memory singleton removal
- Fri May 1 11:31:08 2026 begin with 164362891 relations and 157216116 unique ideals
- Fri May 1 11:31:12 2026 reduce to 163974243 relations and 149944475 ideals in 7 passes
- Fri May 1 11:31:12 2026 max relations containing the same ideal: 105
- Fri May 1 11:32:01 2026 removing 8860175 relations and 6860175 ideals in 2000000 cliques
- Fri May 1 11:32:05 2026 commencing in-memory singleton removal
- Fri May 1 11:32:07 2026 begin with 155114068 relations and 149944475 unique ideals
- Fri May 1 11:32:12 2026 reduce to 154704094 relations and 142669866 ideals in 8 passes
- Fri May 1 11:32:12 2026 max relations containing the same ideal: 99
- Fri May 1 11:32:59 2026 removing 8867166 relations and 6867166 ideals in 2000000 cliques
- Fri May 1 11:33:03 2026 commencing in-memory singleton removal
- Fri May 1 11:33:04 2026 begin with 145836928 relations and 142669866 unique ideals
- Fri May 1 11:33:10 2026 reduce to 145400577 relations and 135361431 ideals in 10 passes
- Fri May 1 11:33:10 2026 max relations containing the same ideal: 97
- Fri May 1 11:33:54 2026 removing 8902970 relations and 6902970 ideals in 2000000 cliques
- Fri May 1 11:33:58 2026 commencing in-memory singleton removal
- Fri May 1 11:33:59 2026 begin with 136497607 relations and 135361431 unique ideals
- Fri May 1 11:34:03 2026 reduce to 136028354 relations and 127983804 ideals in 8 passes
- Fri May 1 11:34:03 2026 max relations containing the same ideal: 93
- Fri May 1 11:34:45 2026 removing 8964087 relations and 6964087 ideals in 2000000 cliques
- Fri May 1 11:34:49 2026 commencing in-memory singleton removal
- Fri May 1 11:34:50 2026 begin with 127064267 relations and 127983804 unique ideals
- Fri May 1 11:34:54 2026 reduce to 126556352 relations and 120505400 ideals in 8 passes
- Fri May 1 11:34:54 2026 max relations containing the same ideal: 88
- Fri May 1 11:35:33 2026 removing 9052505 relations and 7052505 ideals in 2000000 cliques
- Fri May 1 11:35:37 2026 commencing in-memory singleton removal
- Fri May 1 11:35:38 2026 begin with 117503847 relations and 120505400 unique ideals
- Fri May 1 11:35:41 2026 reduce to 116946175 relations and 112887678 ideals in 8 passes
- Fri May 1 11:35:41 2026 max relations containing the same ideal: 83
- Fri May 1 11:36:18 2026 removing 5951167 relations and 4787389 ideals in 1163778 cliques
- Fri May 1 11:36:21 2026 commencing in-memory singleton removal
- Fri May 1 11:36:22 2026 begin with 110995008 relations and 112887678 unique ideals
- Fri May 1 11:36:25 2026 reduce to 110748388 relations and 107851494 ideals in 8 passes
- Fri May 1 11:36:25 2026 max relations containing the same ideal: 81
- Fri May 1 11:37:09 2026 relations with 0 large ideals: 9525
- Fri May 1 11:37:09 2026 relations with 1 large ideals: 64024
- Fri May 1 11:37:09 2026 relations with 2 large ideals: 859634
- Fri May 1 11:37:09 2026 relations with 3 large ideals: 4845246
- Fri May 1 11:37:09 2026 relations with 4 large ideals: 14754093
- Fri May 1 11:37:09 2026 relations with 5 large ideals: 26757245
- Fri May 1 11:37:09 2026 relations with 6 large ideals: 30171743
- Fri May 1 11:37:09 2026 relations with 7+ large ideals: 33286878
- Fri May 1 11:37:09 2026 commencing 2-way merge
- Fri May 1 11:38:00 2026 reduce to 68220586 relation sets and 65323692 unique ideals
- Fri May 1 11:38:00 2026 commencing full merge
- Fri May 1 11:52:30 2026 memory use: 7595.2 MB
- Fri May 1 11:52:36 2026 found 31504179 cycles, need 31171892
- Fri May 1 11:52:45 2026 weight of 31171892 cycles is about 3429216496 (110.01/cycle)
- Fri May 1 11:52:45 2026 distribution of cycle lengths:
- Fri May 1 11:52:45 2026 1 relations: 2742682
- Fri May 1 11:52:45 2026 2 relations: 2631142
- Fri May 1 11:52:45 2026 3 relations: 2641147
- Fri May 1 11:52:45 2026 4 relations: 2555543
- Fri May 1 11:52:45 2026 5 relations: 2492195
- Fri May 1 11:52:45 2026 6 relations: 2316112
- Fri May 1 11:52:45 2026 7 relations: 2224909
- Fri May 1 11:52:45 2026 8 relations: 2050471
- Fri May 1 11:52:45 2026 9 relations: 1873458
- Fri May 1 11:52:45 2026 10+ relations: 9644233
- Fri May 1 11:52:45 2026 heaviest cycle: 26 relations
- Fri May 1 11:52:55 2026 commencing cycle optimization
- Fri May 1 11:53:46 2026 start with 231910935 relations
- Fri May 1 11:59:09 2026 pruned 7692087 relations
- Fri May 1 11:59:11 2026 memory use: 6889.6 MB
- Fri May 1 11:59:11 2026 distribution of cycle lengths:
- Fri May 1 11:59:11 2026 1 relations: 2742682
- Fri May 1 11:59:11 2026 2 relations: 2697021
- Fri May 1 11:59:11 2026 3 relations: 2745171
- Fri May 1 11:59:11 2026 4 relations: 2639349
- Fri May 1 11:59:11 2026 5 relations: 2581920
- Fri May 1 11:59:11 2026 6 relations: 2391138
- Fri May 1 11:59:11 2026 7 relations: 2293536
- Fri May 1 11:59:11 2026 8 relations: 2102730
- Fri May 1 11:59:11 2026 9 relations: 1915391
- Fri May 1 11:59:11 2026 10+ relations: 9062954
- Fri May 1 11:59:11 2026 heaviest cycle: 25 relations
- Fri May 1 12:00:14 2026 RelProcTime: 4534
- Fri May 1 12:00:14 2026 elapsed time 01:15:35
- Fri May 1 12:00:15 2026
- Fri May 1 12:00:15 2026
- Fri May 1 12:00:15 2026 Msieve v. 1.54 (SVN Unversioned directory)
- Fri May 1 12:00:15 2026 random seeds: 4a883790 2db48b08
- Fri May 1 12:00:15 2026 MPI process 0 of 1
- Fri May 1 12:00:15 2026 Using 46 OpenMP threads
- Fri May 1 12:00:15 2026 factoring 414252152229380698896940596341204689126505724685942287400369619872829652697903756948271773238528015851962877611832843225342050420048574267761668259819960435297080924710913187020406571990565981 (192 digits)
- Fri May 1 12:00:15 2026 no P-1/P+1/ECM available, skipping
- Fri May 1 12:00:15 2026 commencing number field sieve (192-digit input)
- Fri May 1 12:00:15 2026 R0: 20301532566491775198119454046923566942
- Fri May 1 12:00:15 2026 R1: -157496815834071338521591
- Fri May 1 12:00:15 2026 A0: 1990120081043691029435645888839105069034486205
- Fri May 1 12:00:15 2026 A1: 20886501781133123906055436934261868449
- Fri May 1 12:00:15 2026 A2: -1140358988257932068129715818799
- Fri May 1 12:00:15 2026 A3: -6019220980837392931905
- Fri May 1 12:00:15 2026 A4: 190003825948954
- Fri May 1 12:00:15 2026 A5: 120120
- Fri May 1 12:00:15 2026 skew 1.00, size 1.249e-18, alpha -6.704, combined = 4.297e-17 rroots = 3
- Fri May 1 12:00:15 2026
- Fri May 1 12:00:15 2026 commencing linear algebra
- Fri May 1 12:00:15 2026 using VBITS=256
- Fri May 1 12:00:15 2026 stopping after matrix build
- Fri May 1 12:00:15 2026 initialized process (0,0) of 1 x 1 grid
- Fri May 1 12:00:19 2026 read 31171892 cycles
- Fri May 1 12:01:17 2026 cycles contain 108861835 unique relations
- Fri May 1 12:02:11 2026 read 108861835 relations
- Fri May 1 12:02:20 2026 using 20 quadratic characters above 4294917295
- Fri May 1 12:02:33 2026 building initial matrix
- Fri May 1 12:20:35 2026 memory use: 14620.3 MB
- Fri May 1 12:21:01 2026 read 31171892 cycles
- Fri May 1 12:21:05 2026 matrix is 31171706 x 31171892 (13680.0 MB) with weight 4126248030 (132.37/col)
- Fri May 1 12:21:05 2026 sparse part has weight 3243232663 (104.04/col)
- Fri May 1 12:29:05 2026 filtering completed in 2 passes
- Fri May 1 12:29:10 2026 matrix is 31164232 x 31164414 (13679.3 MB) with weight 4125921102 (132.39/col)
- Fri May 1 12:29:10 2026 sparse part has weight 3243125270 (104.07/col)
- Fri May 1 12:30:35 2026 BLanczosTime: 1820
- Fri May 1 12:30:35 2026 elapsed time 00:30:20
- Fri May 1 12:30:37 2026
- Fri May 1 12:30:37 2026
- Fri May 1 12:30:37 2026 Msieve v. 1.54 (SVN Unversioned directory)
- Fri May 1 12:30:37 2026 random seeds: aac35454 c462440e
- Fri May 1 12:30:37 2026 MPI process 0 of 1
- Fri May 1 12:30:37 2026 Using 6 OpenMP threads
- Fri May 1 12:30:37 2026 factoring 414252152229380698896940596341204689126505724685942287400369619872829652697903756948271773238528015851962877611832843225342050420048574267761668259819960435297080924710913187020406571990565981 (192 digits)
- Fri May 1 12:30:37 2026 no P-1/P+1/ECM available, skipping
- Fri May 1 12:30:37 2026 commencing number field sieve (192-digit input)
- Fri May 1 12:30:37 2026 R0: 20301532566491775198119454046923566942
- Fri May 1 12:30:37 2026 R1: -157496815834071338521591
- Fri May 1 12:30:37 2026 A0: 1990120081043691029435645888839105069034486205
- Fri May 1 12:30:37 2026 A1: 20886501781133123906055436934261868449
- Fri May 1 12:30:37 2026 A2: -1140358988257932068129715818799
- Fri May 1 12:30:37 2026 A3: -6019220980837392931905
- Fri May 1 12:30:37 2026 A4: 190003825948954
- Fri May 1 12:30:37 2026 A5: 120120
- Fri May 1 12:30:37 2026 skew 1.00, size 1.249e-18, alpha -6.704, combined = 4.297e-17 rroots = 3
- Fri May 1 12:30:37 2026
- Fri May 1 12:30:37 2026 commencing linear algebra
- Fri May 1 12:30:37 2026 using VBITS=256
- Fri May 1 12:30:37 2026 skipping matrix build
- Fri May 1 12:30:37 2026 initialized process (0,0) of 1 x 1 grid
- Fri May 1 12:30:52 2026 matrix starts at (0, 0)
- Fri May 1 12:30:56 2026 matrix is 31164232 x 31164414 (13679.3 MB) with weight 4125921102 (132.39/col)
- Fri May 1 12:30:56 2026 sparse part has weight 3243125270 (104.07/col)
- Fri May 1 12:30:56 2026 saving the first 240 matrix rows for later
- Fri May 1 12:31:02 2026 matrix includes 256 packed rows
- Fri May 1 12:31:09 2026 matrix is 31163992 x 31164414 (12541.5 MB) with weight 2958508087 (94.93/col)
- Fri May 1 12:31:09 2026 sparse part has weight 2789044218 (89.49/col)
- Fri May 1 12:31:09 2026 using GPU 0 (NVIDIA A100-SXM4-40GB)
- Fri May 1 12:31:09 2026 selected card has CUDA arch 8.0
- Fri May 1 12:35:39 2026 commencing Lanczos iteration
- Fri May 1 12:35:41 2026 memory use: 30313.8 MB
- Fri May 1 12:36:40 2026 linear algebra at 0.1%, ETA 16h22m
- Fri May 1 12:38:07 2026 checking every 30000 dimensions, checkpointing every 1920000 dimensions
- Sat May 2 04:56:25 2026 lanczos halted after 122101 iterations (dim = 31163991)
- Sat May 2 04:58:38 2026 recovered 30 nontrivial dependencies
- Sat May 2 04:58:39 2026 BLanczosTime: 59282
- Sat May 2 04:58:39 2026 elapsed time 16:28:02
- Sat May 2 04:58:40 2026
- Sat May 2 04:58:40 2026
- Sat May 2 04:58:40 2026 Msieve v. 1.54 (SVN Unversioned directory)
- Sat May 2 04:58:40 2026 random seeds: 9d7cdf40 04429ced
- Sat May 2 04:58:40 2026 MPI process 0 of 1
- Sat May 2 04:58:40 2026 Using 32 OpenMP threads
- Sat May 2 04:58:40 2026 factoring 414252152229380698896940596341204689126505724685942287400369619872829652697903756948271773238528015851962877611832843225342050420048574267761668259819960435297080924710913187020406571990565981 (192 digits)
- Sat May 2 04:58:40 2026 no P-1/P+1/ECM available, skipping
- Sat May 2 04:58:40 2026 commencing number field sieve (192-digit input)
- Sat May 2 04:58:40 2026 R0: 20301532566491775198119454046923566942
- Sat May 2 04:58:40 2026 R1: -157496815834071338521591
- Sat May 2 04:58:40 2026 A0: 1990120081043691029435645888839105069034486205
- Sat May 2 04:58:40 2026 A1: 20886501781133123906055436934261868449
- Sat May 2 04:58:40 2026 A2: -1140358988257932068129715818799
- Sat May 2 04:58:40 2026 A3: -6019220980837392931905
- Sat May 2 04:58:40 2026 A4: 190003825948954
- Sat May 2 04:58:40 2026 A5: 120120
- Sat May 2 04:58:40 2026 skew 1.00, size 1.249e-18, alpha -6.704, combined = 4.297e-17 rroots = 3
- Sat May 2 04:58:40 2026
- Sat May 2 04:58:40 2026 commencing square root phase
- Sat May 2 04:58:40 2026 reading relations for dependency 1
- Sat May 2 04:58:43 2026 read 15583323 cycles
- Sat May 2 04:59:09 2026 cycles contain 54438926 unique relations
- Sat May 2 04:59:51 2026 read 54438926 relations
- Sat May 2 05:03:09 2026 multiplying 54438926 relations
- Sat May 2 05:08:27 2026 multiply complete, coefficients have about 3244.44 million bits
- Sat May 2 05:08:35 2026 initial square root is modulo 18915137
- Sat May 2 05:25:54 2026 sqrtTime: 1634
- Sat May 2 05:25:54 2026 p68 factor: 21867266166956354202957739425581892703482057822695045226225149580059
- Sat May 2 05:25:54 2026 p125 factor: 18943938810940962659818706395331157997808044033385550859036060150823475615536008452830127772249751395204118715007476751107559
- Sat May 2 05:25:54 2026 elapsed time 00:27:14
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