Thu Aug 28 08:26:01 2025 Thu Aug 28 08:26:01 2025 Thu Aug 28 08:26:01 2025 Msieve v. 1.54 (SVN Unversioned directory) Thu Aug 28 08:26:01 2025 random seeds: 38f4960b 1f8987c7 Thu Aug 28 08:26:01 2025 MPI process 0 of 1 Thu Aug 28 08:26:01 2025 Using 46 OpenMP threads Thu Aug 28 08:26:01 2025 factoring 2423078269741324299183199619157887893733229951876054778972783940429016535248354188028988478739204090883877343183817537044018087807507076915187059534744234708987890534328159229232206942720268971129599177241172784001504253903312191400399659939762703865165600118751351544005019919 (277 digits) Thu Aug 28 08:26:02 2025 no P-1/P+1/ECM available, skipping Thu Aug 28 08:26:02 2025 commencing number field sieve (277-digit input) Thu Aug 28 08:26:02 2025 R0: -17731226487286087467952245958742732290027975938309881856 Thu Aug 28 08:26:02 2025 R1: 1 Thu Aug 28 08:26:02 2025 A0: 1 Thu Aug 28 08:26:02 2025 A1: 1 Thu Aug 28 08:26:02 2025 A2: 1 Thu Aug 28 08:26:02 2025 A3: 1 Thu Aug 28 08:26:02 2025 A4: 1 Thu Aug 28 08:26:02 2025 A5: 1 Thu Aug 28 08:26:02 2025 A6: 1 Thu Aug 28 08:26:02 2025 skew 1.41, size 3.188e-16, alpha 2.428, combined = 2.096e-16 rroots = 0 Thu Aug 28 08:26:02 2025 Thu Aug 28 08:26:02 2025 commencing relation filtering Thu Aug 28 08:26:02 2025 setting target matrix density to 110.0 Thu Aug 28 08:26:02 2025 estimated available RAM is 385607.8 MB Thu Aug 28 08:26:02 2025 commencing duplicate removal, pass 1 Thu Aug 28 08:52:32 2025 skipped 3987982 relations with b > 2^32 Thu Aug 28 08:52:32 2025 skipped 1 relations with composite factors Thu Aug 28 08:52:32 2025 skipped 13706 malformed relations Thu Aug 28 08:52:32 2025 found 124593138 hash collisions in 2155604017 relations Thu Aug 28 08:52:37 2025 added 2438534 free relations Thu Aug 28 08:52:37 2025 commencing duplicate removal, pass 2 Thu Aug 28 09:02:49 2025 found 92 duplicates and 2158042459 unique relations Thu Aug 28 09:02:49 2025 memory use: 6822.0 MB Thu Aug 28 09:02:50 2025 reading ideals above 1242890240 Thu Aug 28 09:02:50 2025 commencing singleton removal, initial pass Thu Aug 28 10:44:10 2025 memory use: 41024.0 MB Thu Aug 28 10:44:11 2025 reading all ideals from disk Thu Aug 28 10:44:59 2025 memory use: 60647.9 MB Thu Aug 28 10:47:01 2025 commencing in-memory singleton removal Thu Aug 28 10:47:12 2025 begin with 2158042459 relations and 2151006177 unique ideals Thu Aug 28 10:48:37 2025 reduce to 989848277 relations and 809529646 ideals in 25 passes Thu Aug 28 10:48:37 2025 max relations containing the same ideal: 36 Thu Aug 28 10:49:04 2025 reading ideals above 720000 Thu Aug 28 10:49:05 2025 commencing singleton removal, initial pass Thu Aug 28 11:49:23 2025 memory use: 21024.0 MB Thu Aug 28 11:49:23 2025 reading all ideals from disk Thu Aug 28 11:49:48 2025 memory use: 55156.0 MB Thu Aug 28 11:52:24 2025 keeping 928712224 ideals with weight <= 200, target excess is 5806099 Thu Aug 28 11:55:13 2025 commencing in-memory singleton removal Thu Aug 28 11:55:25 2025 begin with 989848277 relations and 928712224 unique ideals Thu Aug 28 11:56:29 2025 reduce to 989536980 relations and 928400915 ideals in 15 passes Thu Aug 28 11:56:29 2025 max relations containing the same ideal: 200 Thu Aug 28 12:02:56 2025 removing 31245446 relations and 29245446 ideals in 2000000 cliques Thu Aug 28 12:03:23 2025 commencing in-memory singleton removal Thu Aug 28 12:03:34 2025 begin with 958291534 relations and 928400915 unique ideals Thu Aug 28 12:04:18 2025 reduce to 957434037 relations and 898294835 ideals in 12 passes Thu Aug 28 12:04:18 2025 max relations containing the same ideal: 200 Thu Aug 28 12:10:20 2025 removing 22533190 relations and 20533190 ideals in 2000000 cliques Thu Aug 28 12:10:45 2025 commencing in-memory singleton removal Thu Aug 28 12:10:55 2025 begin with 934900847 relations and 898294835 unique ideals Thu Aug 28 12:11:33 2025 reduce to 934432134 relations and 877291521 ideals in 10 passes Thu Aug 28 12:11:33 2025 max relations containing the same ideal: 200 Thu Aug 28 12:17:18 2025 removing 19720634 relations and 17720634 ideals in 2000000 cliques Thu Aug 28 12:17:41 2025 commencing in-memory singleton removal Thu Aug 28 12:17:51 2025 begin with 914711500 relations and 877291521 unique ideals Thu Aug 28 12:18:26 2025 reduce to 914346000 relations and 859204392 ideals in 10 passes Thu Aug 28 12:18:26 2025 max relations containing the same ideal: 199 Thu Aug 28 12:23:35 2025 removing 18102349 relations and 16102349 ideals in 2000000 cliques Thu Aug 28 12:23:57 2025 commencing in-memory singleton removal Thu Aug 28 12:24:07 2025 begin with 896243651 relations and 859204392 unique ideals Thu Aug 28 12:24:40 2025 reduce to 895928666 relations and 842786220 ideals in 9 passes Thu Aug 28 12:24:40 2025 max relations containing the same ideal: 197 Thu Aug 28 12:29:45 2025 removing 16989628 relations and 14989628 ideals in 2000000 cliques Thu Aug 28 12:30:08 2025 commencing in-memory singleton removal Thu Aug 28 12:30:17 2025 begin with 878939038 relations and 842786220 unique ideals Thu Aug 28 12:30:50 2025 reduce to 878657875 relations and 827514738 ideals in 9 passes Thu Aug 28 12:30:50 2025 max relations containing the same ideal: 194 Thu Aug 28 12:35:45 2025 removing 16153828 relations and 14153828 ideals in 2000000 cliques Thu Aug 28 12:36:06 2025 commencing in-memory singleton removal Thu Aug 28 12:36:15 2025 begin with 862504047 relations and 827514738 unique ideals Thu Aug 28 12:36:46 2025 reduce to 862246078 relations and 813102284 ideals in 8 passes Thu Aug 28 12:36:46 2025 max relations containing the same ideal: 192 Thu Aug 28 12:41:49 2025 removing 15495285 relations and 13495285 ideals in 2000000 cliques Thu Aug 28 12:42:10 2025 commencing in-memory singleton removal Thu Aug 28 12:42:19 2025 begin with 846750793 relations and 813102284 unique ideals Thu Aug 28 12:42:49 2025 reduce to 846509827 relations and 799365459 ideals in 9 passes Thu Aug 28 12:42:49 2025 max relations containing the same ideal: 191 Thu Aug 28 12:47:29 2025 removing 14960003 relations and 12960003 ideals in 2000000 cliques Thu Aug 28 12:47:48 2025 commencing in-memory singleton removal Thu Aug 28 12:47:58 2025 begin with 831549824 relations and 799365459 unique ideals Thu Aug 28 12:48:25 2025 reduce to 831321291 relations and 786176335 ideals in 8 passes Thu Aug 28 12:48:25 2025 max relations containing the same ideal: 189 Thu Aug 28 12:52:54 2025 removing 14507922 relations and 12507922 ideals in 2000000 cliques Thu Aug 28 12:53:13 2025 commencing in-memory singleton removal Thu Aug 28 12:53:24 2025 begin with 816813369 relations and 786176335 unique ideals Thu Aug 28 12:53:53 2025 reduce to 816594251 relations and 773448738 ideals in 8 passes Thu Aug 28 12:53:53 2025 max relations containing the same ideal: 187 Thu Aug 28 12:58:24 2025 removing 14129506 relations and 12129506 ideals in 2000000 cliques Thu Aug 28 12:58:43 2025 commencing in-memory singleton removal Thu Aug 28 12:58:52 2025 begin with 802464745 relations and 773448738 unique ideals Thu Aug 28 12:59:23 2025 reduce to 802253101 relations and 761107053 ideals in 10 passes Thu Aug 28 12:59:23 2025 max relations containing the same ideal: 185 Thu Aug 28 13:03:48 2025 removing 13796050 relations and 11796050 ideals in 2000000 cliques Thu Aug 28 13:04:07 2025 commencing in-memory singleton removal Thu Aug 28 13:04:16 2025 begin with 788457051 relations and 761107053 unique ideals Thu Aug 28 13:04:40 2025 reduce to 788252802 relations and 749106238 ideals in 7 passes Thu Aug 28 13:04:40 2025 max relations containing the same ideal: 182 Thu Aug 28 13:08:59 2025 removing 13507324 relations and 11507324 ideals in 2000000 cliques Thu Aug 28 13:09:17 2025 commencing in-memory singleton removal Thu Aug 28 13:09:26 2025 begin with 774745478 relations and 749106238 unique ideals Thu Aug 28 13:09:52 2025 reduce to 774548570 relations and 737401496 ideals in 8 passes Thu Aug 28 13:09:52 2025 max relations containing the same ideal: 181 Thu Aug 28 13:14:03 2025 removing 13249139 relations and 11249139 ideals in 2000000 cliques Thu Aug 28 13:14:23 2025 commencing in-memory singleton removal Thu Aug 28 13:14:31 2025 begin with 761299431 relations and 737401496 unique ideals Thu Aug 28 13:14:57 2025 reduce to 761105024 relations and 725957463 ideals in 8 passes Thu Aug 28 13:14:57 2025 max relations containing the same ideal: 179 Thu Aug 28 13:19:05 2025 removing 13023373 relations and 11023373 ideals in 2000000 cliques Thu Aug 28 13:19:24 2025 commencing in-memory singleton removal Thu Aug 28 13:19:32 2025 begin with 748081651 relations and 725957463 unique ideals Thu Aug 28 13:19:56 2025 reduce to 747892664 relations and 714744596 ideals in 7 passes Thu Aug 28 13:19:56 2025 max relations containing the same ideal: 179 Thu Aug 28 13:24:13 2025 removing 12822757 relations and 10822757 ideals in 2000000 cliques Thu Aug 28 13:24:30 2025 commencing in-memory singleton removal Thu Aug 28 13:24:38 2025 begin with 735069907 relations and 714744596 unique ideals Thu Aug 28 13:25:01 2025 reduce to 734883249 relations and 703734714 ideals in 7 passes Thu Aug 28 13:25:01 2025 max relations containing the same ideal: 176 Thu Aug 28 13:28:57 2025 removing 12640146 relations and 10640146 ideals in 2000000 cliques Thu Aug 28 13:29:14 2025 commencing in-memory singleton removal Thu Aug 28 13:29:22 2025 begin with 722243103 relations and 703734714 unique ideals Thu Aug 28 13:29:46 2025 reduce to 722058043 relations and 692909032 ideals in 8 passes Thu Aug 28 13:29:46 2025 max relations containing the same ideal: 174 Thu Aug 28 13:33:41 2025 removing 12470701 relations and 10470701 ideals in 2000000 cliques Thu Aug 28 13:33:57 2025 commencing in-memory singleton removal Thu Aug 28 13:34:05 2025 begin with 709587342 relations and 692909032 unique ideals Thu Aug 28 13:34:27 2025 reduce to 709403713 relations and 682254181 ideals in 7 passes Thu Aug 28 13:34:27 2025 max relations containing the same ideal: 173 Thu Aug 28 13:38:06 2025 removing 12322300 relations and 10322300 ideals in 2000000 cliques Thu Aug 28 13:38:23 2025 commencing in-memory singleton removal Thu Aug 28 13:38:32 2025 begin with 697081413 relations and 682254181 unique ideals Thu Aug 28 13:38:55 2025 reduce to 696900258 relations and 671750208 ideals in 8 passes Thu Aug 28 13:38:55 2025 max relations containing the same ideal: 170 Thu Aug 28 13:42:30 2025 removing 12190483 relations and 10190483 ideals in 2000000 cliques Thu Aug 28 13:42:46 2025 commencing in-memory singleton removal Thu Aug 28 13:42:55 2025 begin with 684709775 relations and 671750208 unique ideals Thu Aug 28 13:43:18 2025 reduce to 684529052 relations and 661378535 ideals in 8 passes Thu Aug 28 13:43:18 2025 max relations containing the same ideal: 170 Thu Aug 28 13:46:46 2025 removing 12064533 relations and 10064533 ideals in 2000000 cliques Thu Aug 28 13:47:03 2025 commencing in-memory singleton removal Thu Aug 28 13:47:10 2025 begin with 672464519 relations and 661378535 unique ideals Thu Aug 28 13:47:36 2025 reduce to 672283677 relations and 651132665 ideals in 10 passes Thu Aug 28 13:47:36 2025 max relations containing the same ideal: 165 Thu Aug 28 13:51:04 2025 removing 11953013 relations and 9953013 ideals in 2000000 cliques Thu Aug 28 13:51:20 2025 commencing in-memory singleton removal Thu Aug 28 13:51:27 2025 begin with 660330664 relations and 651132665 unique ideals Thu Aug 28 13:51:49 2025 reduce to 660149331 relations and 640997811 ideals in 8 passes Thu Aug 28 13:51:49 2025 max relations containing the same ideal: 164 Thu Aug 28 13:55:10 2025 removing 11854585 relations and 9854585 ideals in 2000000 cliques Thu Aug 28 13:55:26 2025 commencing in-memory singleton removal Thu Aug 28 13:55:34 2025 begin with 648294746 relations and 640997811 unique ideals Thu Aug 28 13:55:54 2025 reduce to 648112560 relations and 630960524 ideals in 7 passes Thu Aug 28 13:55:54 2025 max relations containing the same ideal: 161 Thu Aug 28 13:59:10 2025 removing 11760259 relations and 9760259 ideals in 2000000 cliques Thu Aug 28 13:59:25 2025 commencing in-memory singleton removal Thu Aug 28 13:59:32 2025 begin with 636352301 relations and 630960524 unique ideals Thu Aug 28 13:59:52 2025 reduce to 636169484 relations and 621016880 ideals in 7 passes Thu Aug 28 13:59:52 2025 max relations containing the same ideal: 159 Thu Aug 28 14:03:00 2025 removing 11682186 relations and 9682186 ideals in 2000000 cliques Thu Aug 28 14:03:15 2025 commencing in-memory singleton removal Thu Aug 28 14:03:22 2025 begin with 624487298 relations and 621016880 unique ideals Thu Aug 28 14:03:43 2025 reduce to 624303419 relations and 611150283 ideals in 8 passes Thu Aug 28 14:03:43 2025 max relations containing the same ideal: 158 Thu Aug 28 14:06:47 2025 removing 11610594 relations and 9610594 ideals in 2000000 cliques Thu Aug 28 14:07:02 2025 commencing in-memory singleton removal Thu Aug 28 14:07:09 2025 begin with 612692825 relations and 611150283 unique ideals Thu Aug 28 14:07:29 2025 reduce to 612507673 relations and 601353978 ideals in 8 passes Thu Aug 28 14:07:29 2025 max relations containing the same ideal: 155 Thu Aug 28 14:10:29 2025 removing 11547502 relations and 9547502 ideals in 2000000 cliques Thu Aug 28 14:10:43 2025 commencing in-memory singleton removal Thu Aug 28 14:10:50 2025 begin with 600960171 relations and 601353978 unique ideals Thu Aug 28 14:11:11 2025 reduce to 600772471 relations and 591618215 ideals in 8 passes Thu Aug 28 14:11:11 2025 max relations containing the same ideal: 154 Thu Aug 28 14:14:06 2025 removing 11490185 relations and 9490185 ideals in 2000000 cliques Thu Aug 28 14:14:19 2025 commencing in-memory singleton removal Thu Aug 28 14:14:26 2025 begin with 589282286 relations and 591618215 unique ideals Thu Aug 28 14:14:44 2025 reduce to 589093732 relations and 581938889 ideals in 7 passes Thu Aug 28 14:14:44 2025 max relations containing the same ideal: 153 Thu Aug 28 14:17:38 2025 removing 3072757 relations and 2652989 ideals in 419768 cliques Thu Aug 28 14:17:51 2025 commencing in-memory singleton removal Thu Aug 28 14:17:57 2025 begin with 586020975 relations and 581938889 unique ideals Thu Aug 28 14:18:13 2025 reduce to 586008363 relations and 579273283 ideals in 6 passes Thu Aug 28 14:18:13 2025 max relations containing the same ideal: 152 Thu Aug 28 14:19:22 2025 relations with 0 large ideals: 446860 Thu Aug 28 14:19:22 2025 relations with 1 large ideals: 124442 Thu Aug 28 14:19:22 2025 relations with 2 large ideals: 1399507 Thu Aug 28 14:19:22 2025 relations with 3 large ideals: 9780156 Thu Aug 28 14:19:22 2025 relations with 4 large ideals: 39899786 Thu Aug 28 14:19:22 2025 relations with 5 large ideals: 99707460 Thu Aug 28 14:19:22 2025 relations with 6 large ideals: 155203453 Thu Aug 28 14:19:22 2025 relations with 7+ large ideals: 279446699 Thu Aug 28 14:19:22 2025 commencing 2-way merge Thu Aug 28 14:24:04 2025 reduce to 362362820 relation sets and 355627740 unique ideals Thu Aug 28 14:24:04 2025 commencing full merge Thu Aug 28 16:06:48 2025 memory use: 40993.2 MB Thu Aug 28 16:07:33 2025 found 171762586 cycles, need 170931940 Thu Aug 28 16:08:40 2025 weight of 170931940 cycles is about 18803017838 (110.00/cycle) Thu Aug 28 16:08:41 2025 distribution of cycle lengths: Thu Aug 28 16:08:41 2025 1 relations: 13833748 Thu Aug 28 16:08:41 2025 2 relations: 16152047 Thu Aug 28 16:08:41 2025 3 relations: 17633805 Thu Aug 28 16:08:41 2025 4 relations: 16658580 Thu Aug 28 16:08:41 2025 5 relations: 15075803 Thu Aug 28 16:08:41 2025 6 relations: 13628492 Thu Aug 28 16:08:41 2025 7 relations: 11972069 Thu Aug 28 16:08:41 2025 8 relations: 10657998 Thu Aug 28 16:08:41 2025 9 relations: 9413410 Thu Aug 28 16:08:41 2025 10+ relations: 45905988 Thu Aug 28 16:08:41 2025 heaviest cycle: 26 relations Thu Aug 28 16:10:01 2025 commencing cycle optimization Thu Aug 28 16:15:30 2025 start with 1195075384 relations Thu Aug 28 16:55:23 2025 pruned 31225192 relations Thu Aug 28 16:55:41 2025 memory use: 36572.2 MB Thu Aug 28 16:55:42 2025 distribution of cycle lengths: Thu Aug 28 16:55:42 2025 1 relations: 13833748 Thu Aug 28 16:55:42 2025 2 relations: 16534585 Thu Aug 28 16:55:42 2025 3 relations: 18306252 Thu Aug 28 16:55:42 2025 4 relations: 17088031 Thu Aug 28 16:55:42 2025 5 relations: 15480452 Thu Aug 28 16:55:42 2025 6 relations: 13846462 Thu Aug 28 16:55:42 2025 7 relations: 12145721 Thu Aug 28 16:55:42 2025 8 relations: 10730333 Thu Aug 28 16:55:42 2025 9 relations: 9435547 Thu Aug 28 16:55:42 2025 10+ relations: 43530809 Thu Aug 28 16:55:42 2025 heaviest cycle: 26 relations Thu Aug 28 17:01:56 2025 RelProcTime: 30954 Thu Aug 28 17:03:26 2025 elapsed time 08:37:25 Thu Aug 28 17:03:30 2025 Thu Aug 28 17:03:30 2025 Thu Aug 28 17:03:30 2025 Msieve v. 1.54 (SVN Unversioned directory) Thu Aug 28 17:03:30 2025 random seeds: c6a30c18 44618d0f Thu Aug 28 17:03:30 2025 MPI process 0 of 1 Thu Aug 28 17:03:30 2025 Using 46 OpenMP threads Thu Aug 28 17:03:30 2025 factoring 2423078269741324299183199619157887893733229951876054778972783940429016535248354188028988478739204090883877343183817537044018087807507076915187059534744234708987890534328159229232206942720268971129599177241172784001504253903312191400399659939762703865165600118751351544005019919 (277 digits) Thu Aug 28 17:03:31 2025 no P-1/P+1/ECM available, skipping Thu Aug 28 17:03:31 2025 commencing number field sieve (277-digit input) Thu Aug 28 17:03:31 2025 R0: -17731226487286087467952245958742732290027975938309881856 Thu Aug 28 17:03:31 2025 R1: 1 Thu Aug 28 17:03:31 2025 A0: 1 Thu Aug 28 17:03:31 2025 A1: 1 Thu Aug 28 17:03:31 2025 A2: 1 Thu Aug 28 17:03:31 2025 A3: 1 Thu Aug 28 17:03:31 2025 A4: 1 Thu Aug 28 17:03:31 2025 A5: 1 Thu Aug 28 17:03:31 2025 A6: 1 Thu Aug 28 17:03:31 2025 skew 1.41, size 3.188e-16, alpha 2.428, combined = 2.096e-16 rroots = 0 Thu Aug 28 17:03:31 2025 Thu Aug 28 17:03:31 2025 commencing linear algebra Thu Aug 28 17:03:31 2025 using VBITS=256 Thu Aug 28 17:03:31 2025 stopping after matrix build Thu Aug 28 17:03:31 2025 initialized process (0,0) of 1 x 1 grid Thu Aug 28 17:03:48 2025 read 170931940 cycles Thu Aug 28 17:09:20 2025 cycles contain 581728031 unique relations Thu Aug 28 17:14:15 2025 read 581728031 relations Thu Aug 28 17:15:04 2025 using 20 quadratic characters above 4294917295 Thu Aug 28 17:16:15 2025 building initial matrix Thu Aug 28 19:18:26 2025 memory use: 78815.3 MB Thu Aug 28 19:20:37 2025 read 170931940 cycles Thu Aug 28 19:20:57 2025 matrix is 170931762 x 170931940 (76006.8 MB) with weight 21492201505 (125.74/col) Thu Aug 28 19:20:57 2025 sparse part has weight 18044464772 (105.57/col) Thu Aug 28 20:01:25 2025 filtering completed in 2 passes Thu Aug 28 20:01:55 2025 matrix is 170893845 x 170894008 (76004.1 MB) with weight 21491166298 (125.76/col) Thu Aug 28 20:01:55 2025 sparse part has weight 18044187050 (105.59/col) Thu Aug 28 20:08:00 2025 BLanczosTime: 11069 Thu Aug 28 20:08:00 2025 elapsed time 03:04:30 Fri Aug 29 00:09:12 2025 Fri Aug 29 00:09:12 2025 Fri Aug 29 00:09:12 2025 Msieve v. 1.54 (SVN Unversioned directory) Fri Aug 29 00:09:12 2025 random seeds: cfc76222 e5b347eb Fri Aug 29 00:09:12 2025 MPI process 0 of 4 Fri Aug 29 00:09:12 2025 Using 15 OpenMP threads Fri Aug 29 00:09:12 2025 factoring 2423078269741324299183199619157887893733229951876054778972783940429016535248354188028988478739204090883877343183817537044018087807507076915187059534744234708987890534328159229232206942720268971129599177241172784001504253903312191400399659939762703865165600118751351544005019919 (277 digits) Fri Aug 29 00:09:13 2025 no P-1/P+1/ECM available, skipping Fri Aug 29 00:09:13 2025 commencing number field sieve (277-digit input) Fri Aug 29 00:09:13 2025 R0: -17731226487286087467952245958742732290027975938309881856 Fri Aug 29 00:09:13 2025 R1: 1 Fri Aug 29 00:09:13 2025 A0: 1 Fri Aug 29 00:09:13 2025 A1: 1 Fri Aug 29 00:09:13 2025 A2: 1 Fri Aug 29 00:09:13 2025 A3: 1 Fri Aug 29 00:09:13 2025 A4: 1 Fri Aug 29 00:09:13 2025 A5: 1 Fri Aug 29 00:09:13 2025 A6: 1 Fri Aug 29 00:09:13 2025 skew 1.41, size 3.188e-16, alpha 2.428, combined = 2.096e-16 rroots = 0 Fri Aug 29 00:09:13 2025 Fri Aug 29 00:09:13 2025 commencing linear algebra Fri Aug 29 00:09:13 2025 using VBITS=256 Fri Aug 29 00:09:13 2025 skipping matrix build Fri Aug 29 00:09:13 2025 initialized process (0,0) of 2 x 2 grid Fri Aug 29 00:10:59 2025 matrix starts at (0, 0) Fri Aug 29 00:11:04 2025 matrix is 85447043 x 85446964 (22106.4 MB) with weight 6578595382 (76.99/col) Fri Aug 29 00:11:04 2025 sparse part has weight 4855142877 (56.82/col) Fri Aug 29 00:11:04 2025 saving the first 240 matrix rows for later Fri Aug 29 00:11:20 2025 matrix includes 256 packed rows Fri Aug 29 00:11:31 2025 matrix is 85446803 x 85446964 (20056.9 MB) with weight 4169979888 (48.80/col) Fri Aug 29 00:11:31 2025 sparse part has weight 3890638036 (45.53/col) Fri Aug 29 00:11:31 2025 using GPU 0 (NVIDIA H200) Fri Aug 29 00:11:31 2025 selected card has CUDA arch 9.0 Fri Aug 29 00:16:35 2025 commencing Lanczos iteration Fri Aug 29 00:16:38 2025 memory use: 47284.8 MB Fri Aug 29 00:17:28 2025 linear algebra at 0.0%, ETA 72h51m Fri Aug 29 00:18:39 2025 checking every 30000 dimensions, checkpointing every 2370000 dimensions Tue Sep 2 13:58:35 2025 Tue Sep 2 13:58:35 2025 Tue Sep 2 13:58:35 2025 Msieve v. 1.54 (SVN Unversioned directory) Tue Sep 2 13:58:35 2025 random seeds: 7412bd61 6e5e53f7 Tue Sep 2 13:58:35 2025 MPI process 0 of 4 Tue Sep 2 13:58:35 2025 Using 15 OpenMP threads Tue Sep 2 13:58:35 2025 factoring 2423078269741324299183199619157887893733229951876054778972783940429016535248354188028988478739204090883877343183817537044018087807507076915187059534744234708987890534328159229232206942720268971129599177241172784001504253903312191400399659939762703865165600118751351544005019919 (277 digits) Tue Sep 2 13:58:36 2025 no P-1/P+1/ECM available, skipping Tue Sep 2 13:58:36 2025 commencing number field sieve (277-digit input) Tue Sep 2 13:58:36 2025 R0: -17731226487286087467952245958742732290027975938309881856 Tue Sep 2 13:58:36 2025 R1: 1 Tue Sep 2 13:58:36 2025 A0: 1 Tue Sep 2 13:58:36 2025 A1: 1 Tue Sep 2 13:58:36 2025 A2: 1 Tue Sep 2 13:58:36 2025 A3: 1 Tue Sep 2 13:58:36 2025 A4: 1 Tue Sep 2 13:58:36 2025 A5: 1 Tue Sep 2 13:58:36 2025 A6: 1 Tue Sep 2 13:58:36 2025 skew 1.41, size 3.188e-16, alpha 2.428, combined = 2.096e-16 rroots = 0 Tue Sep 2 13:58:36 2025 Tue Sep 2 13:58:36 2025 commencing linear algebra Tue Sep 2 13:58:36 2025 using VBITS=256 Tue Sep 2 13:58:36 2025 initialized process (0,0) of 2 x 2 grid Tue Sep 2 13:59:45 2025 matrix starts at (0, 0) Tue Sep 2 13:59:50 2025 matrix is 85447043 x 85446964 (22106.4 MB) with weight 6578595382 (76.99/col) Tue Sep 2 13:59:50 2025 sparse part has weight 4855142877 (56.82/col) Tue Sep 2 13:59:50 2025 saving the first 240 matrix rows for later Tue Sep 2 14:00:06 2025 matrix includes 256 packed rows Tue Sep 2 14:00:16 2025 matrix is 85446803 x 85446964 (20056.9 MB) with weight 4169979888 (48.80/col) Tue Sep 2 14:00:16 2025 sparse part has weight 3890638036 (45.53/col) Tue Sep 2 14:00:16 2025 using GPU 0 (NVIDIA H200) Tue Sep 2 14:00:16 2025 selected card has CUDA arch 9.0 Tue Sep 2 14:05:26 2025 commencing Lanczos iteration Tue Sep 2 14:05:30 2025 memory use: 47284.8 MB Tue Sep 2 14:05:47 2025 restarting at iteration 659274 (dim = 168270233) Tue Sep 2 14:06:35 2025 linear algebra at 98.5%, ETA 1h 7m Tue Sep 2 14:07:44 2025 checking every 30000 dimensions, checkpointing every 2340000 dimensions Tue Sep 2 15:14:12 2025 lanczos halted after 669553 iterations (dim = 170893605) Tue Sep 2 15:23:24 2025 recovered 40 nontrivial dependencies Tue Sep 2 15:23:26 2025 BLanczosTime: 5090 Tue Sep 2 15:23:26 2025 elapsed time 01:24:51 Tue Sep 2 15:23:30 2025 Tue Sep 2 15:23:30 2025 Tue Sep 2 15:23:30 2025 Msieve v. 1.54 (SVN Unversioned directory) Tue Sep 2 15:23:30 2025 random seeds: 2b856cb9 64b33d9b Tue Sep 2 15:23:30 2025 MPI process 0 of 1 Tue Sep 2 15:23:30 2025 Using 32 OpenMP threads Tue Sep 2 15:23:30 2025 factoring 2423078269741324299183199619157887893733229951876054778972783940429016535248354188028988478739204090883877343183817537044018087807507076915187059534744234708987890534328159229232206942720268971129599177241172784001504253903312191400399659939762703865165600118751351544005019919 (277 digits) Tue Sep 2 15:23:31 2025 no P-1/P+1/ECM available, skipping Tue Sep 2 15:23:31 2025 commencing number field sieve (277-digit input) Tue Sep 2 15:23:31 2025 R0: -17731226487286087467952245958742732290027975938309881856 Tue Sep 2 15:23:31 2025 R1: 1 Tue Sep 2 15:23:31 2025 A0: 1 Tue Sep 2 15:23:31 2025 A1: 1 Tue Sep 2 15:23:31 2025 A2: 1 Tue Sep 2 15:23:31 2025 A3: 1 Tue Sep 2 15:23:31 2025 A4: 1 Tue Sep 2 15:23:31 2025 A5: 1 Tue Sep 2 15:23:31 2025 A6: 1 Tue Sep 2 15:23:31 2025 skew 1.41, size 3.188e-16, alpha 2.428, combined = 2.096e-16 rroots = 0 Tue Sep 2 15:23:31 2025 Tue Sep 2 15:23:31 2025 commencing square root phase Tue Sep 2 15:23:31 2025 reading relations for dependency 1 Tue Sep 2 15:23:47 2025 read 85448082 cycles Tue Sep 2 15:26:11 2025 cycles contain 290856176 unique relations Tue Sep 2 15:33:14 2025 read 290856176 relations Tue Sep 2 15:54:39 2025 multiplying 290856176 relations Tue Sep 2 16:12:46 2025 multiply complete, coefficients have about 8481.03 million bits Tue Sep 2 16:13:10 2025 initial square root is modulo 56957 Tue Sep 2 17:03:59 2025 GCD is 1, no factor found Tue Sep 2 17:03:59 2025 reading relations for dependency 2 Tue Sep 2 17:04:15 2025 read 85448778 cycles Tue Sep 2 17:06:18 2025 cycles contain 290880404 unique relations Tue Sep 2 17:12:08 2025 read 290880404 relations Tue Sep 2 17:37:53 2025 multiplying 290880404 relations Tue Sep 2 17:56:07 2025 multiply complete, coefficients have about 8481.74 million bits Tue Sep 2 17:56:32 2025 initial square root is modulo 56999 Tue Sep 2 18:48:02 2025 found factor: 346949092623909099499447026422017822900377499469444264868722319482119581927143 Tue Sep 2 18:48:02 2025 reading relations for dependency 3 Tue Sep 2 18:48:18 2025 read 85448054 cycles Tue Sep 2 18:50:34 2025 cycles contain 290863600 unique relations Tue Sep 2 18:55:15 2025 read 290863600 relations Tue Sep 2 19:25:26 2025 multiplying 290863600 relations Tue Sep 2 19:43:12 2025 multiply complete, coefficients have about 8481.27 million bits Tue Sep 2 19:43:35 2025 initial square root is modulo 56983 Tue Sep 2 20:34:19 2025 GCD is 1, no factor found Tue Sep 2 20:34:19 2025 reading relations for dependency 4 Tue Sep 2 20:34:33 2025 read 85461446 cycles Tue Sep 2 20:36:36 2025 cycles contain 290905332 unique relations Tue Sep 2 20:40:28 2025 read 290905332 relations Tue Sep 2 21:00:18 2025 multiplying 290905332 relations Tue Sep 2 21:18:01 2025 multiply complete, coefficients have about 8482.46 million bits Tue Sep 2 21:18:24 2025 initial square root is modulo 57097 Tue Sep 2 22:09:12 2025 sqrtTime: 24341 Tue Sep 2 22:09:12 2025 p78 factor: 346949092623909099499447026422017822900377499469444264868722319482119581927143 Tue Sep 2 22:09:12 2025 p84 factor: 802167258131288961226423764896607576443527651032823403369144020279392423068995007833 Tue Sep 2 22:09:12 2025 p115 factor: 8706362695275890969343730486602278356864334978141004355553552797420848765486845739758153162135043171934096180315201 Tue Sep 2 22:09:12 2025 elapsed time 06:45:42