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