Thu Aug 20 12:54:18 2026 Thu Aug 20 12:54:18 2026 Thu Aug 20 12:54:18 2026 Msieve v. 1.54 (SVN unknown) Thu Aug 20 12:54:18 2026 random seeds: f0b81c5a d5a4f0c0 Thu Aug 20 12:54:18 2026 Using 8 OpenMP threads Thu Aug 20 12:54:18 2026 factoring 11929529473658748661258619699223880004328412025074328537159319868068244070444276625794246322910922696826367679162738652361624980535811736760094314077338066193994634335382606119878334991402145900974894581671653076472422575838911878154593625796931245419527209880193 (263 digits) Thu Aug 20 12:54:18 2026 no P-1/P+1/ECM available, skipping Thu Aug 20 12:54:18 2026 commencing number field sieve (263-digit input) Thu Aug 20 12:54:18 2026 R0: 157936836645516168838201626444501705760018922 Thu Aug 20 12:54:18 2026 R1: -12567292335484050831661 Thu Aug 20 12:54:18 2026 A0: -1 Thu Aug 20 12:54:18 2026 A1: 3 Thu Aug 20 12:54:18 2026 A2: 6 Thu Aug 20 12:54:18 2026 A3: -4 Thu Aug 20 12:54:18 2026 A4: -5 Thu Aug 20 12:54:18 2026 A5: 1 Thu Aug 20 12:54:18 2026 A6: 1 Thu Aug 20 12:54:18 2026 skew 1.38, size 5.304e-13, alpha 3.126, combined = 7.018e-14 rroots = 6 Thu Aug 20 12:54:18 2026 Thu Aug 20 12:54:18 2026 commencing relation filtering Thu Aug 20 12:54:18 2026 setting 3 target densities:Thu Aug 20 12:54:18 2026 90Thu Aug 20 12:54:18 2026 110Thu Aug 20 12:54:18 2026 130Thu Aug 20 12:54:18 2026 Thu Aug 20 12:54:18 2026 estimated available RAM is 78540.1 MB Thu Aug 20 12:54:18 2026 commencing duplicate removal, pass 1 Thu Aug 20 12:54:24 2026 error -6 reading relation 3808588 Thu Aug 20 12:54:46 2026 error -6 reading relation 20453684 Thu Aug 20 12:54:50 2026 error -6 reading relation 25627026 Thu Aug 20 12:54:56 2026 error -6 reading relation 31725058 Thu Aug 20 12:56:07 2026 error -6 reading relation 99793563 Thu Aug 20 12:58:15 2026 error -6 reading relation 223996640 Thu Aug 20 13:00:20 2026 skipped 768 relations with b > 2^32 Thu Aug 20 13:00:20 2026 found 72607423 hash collisions in 337541638 relations Thu Aug 20 13:00:23 2026 added 2438358 free relations Thu Aug 20 13:00:23 2026 commencing duplicate removal, pass 2 Thu Aug 20 13:02:29 2026 found 80764964 duplicates and 259215032 unique relations Thu Aug 20 13:02:29 2026 memory use: 1705.5 MB Thu Aug 20 13:02:29 2026 reading ideals above 189988864 Thu Aug 20 13:02:29 2026 commencing singleton removal, initial pass Thu Aug 20 13:11:42 2026 memory use: 6024.0 MB Thu Aug 20 13:11:43 2026 reading all ideals from disk Thu Aug 20 13:11:51 2026 memory use: 6720.4 MB Thu Aug 20 13:12:38 2026 commencing in-memory singleton removal Thu Aug 20 13:12:40 2026 begin with 259215032 relations and 228856545 unique ideals Thu Aug 20 13:13:00 2026 reduce to 158341426 relations and 117312397 ideals in 15 passes Thu Aug 20 13:13:00 2026 max relations containing the same ideal: 34 Thu Aug 20 13:13:04 2026 reading ideals above 720000 Thu Aug 20 13:13:04 2026 commencing singleton removal, initial pass Thu Aug 20 13:20:30 2026 memory use: 3012.0 MB Thu Aug 20 13:20:30 2026 reading all ideals from disk Thu Aug 20 13:20:44 2026 memory use: 7800.8 MB Thu Aug 20 13:21:12 2026 keeping 137604874 ideals with weight <= 200, target excess is 815674 Thu Aug 20 13:21:23 2026 commencing in-memory singleton removal Thu Aug 20 13:21:25 2026 begin with 158341426 relations and 137604874 unique ideals Thu Aug 20 13:21:34 2026 reduce to 158338549 relations and 137601997 ideals in 7 passes Thu Aug 20 13:21:34 2026 max relations containing the same ideal: 200 Thu Aug 20 13:22:29 2026 removing 13150072 relations and 11150072 ideals in 2000000 cliques Thu Aug 20 13:22:32 2026 commencing in-memory singleton removal Thu Aug 20 13:22:34 2026 begin with 145188477 relations and 137601997 unique ideals Thu Aug 20 13:22:46 2026 reduce to 144273812 relations and 125521845 ideals in 9 passes Thu Aug 20 13:22:46 2026 max relations containing the same ideal: 196 Thu Aug 20 13:23:26 2026 removing 10056681 relations and 8056681 ideals in 2000000 cliques Thu Aug 20 13:23:29 2026 commencing in-memory singleton removal Thu Aug 20 13:23:31 2026 begin with 134217131 relations and 125521845 unique ideals Thu Aug 20 13:23:39 2026 reduce to 133609057 relations and 116848134 ideals in 9 passes Thu Aug 20 13:23:39 2026 max relations containing the same ideal: 189 Thu Aug 20 13:24:12 2026 removing 9121084 relations and 7121084 ideals in 2000000 cliques Thu Aug 20 13:24:15 2026 commencing in-memory singleton removal Thu Aug 20 13:24:17 2026 begin with 124487973 relations and 116848134 unique ideals Thu Aug 20 13:24:26 2026 reduce to 123945650 relations and 109176598 ideals in 8 passes Thu Aug 20 13:24:26 2026 max relations containing the same ideal: 181 Thu Aug 20 13:24:56 2026 removing 8643736 relations and 6643736 ideals in 2000000 cliques Thu Aug 20 13:24:59 2026 commencing in-memory singleton removal Thu Aug 20 13:25:00 2026 begin with 115301914 relations and 109176598 unique ideals Thu Aug 20 13:25:06 2026 reduce to 114779730 relations and 102002679 ideals in 8 passes Thu Aug 20 13:25:06 2026 max relations containing the same ideal: 173 Thu Aug 20 13:25:35 2026 removing 8363156 relations and 6363156 ideals in 2000000 cliques Thu Aug 20 13:25:38 2026 commencing in-memory singleton removal Thu Aug 20 13:25:39 2026 begin with 106416574 relations and 102002679 unique ideals Thu Aug 20 13:25:45 2026 reduce to 105895283 relations and 95110010 ideals in 7 passes Thu Aug 20 13:25:45 2026 max relations containing the same ideal: 164 Thu Aug 20 13:26:13 2026 removing 8186426 relations and 6186426 ideals in 2000000 cliques Thu Aug 20 13:26:15 2026 commencing in-memory singleton removal Thu Aug 20 13:26:17 2026 begin with 97708857 relations and 95110010 unique ideals Thu Aug 20 13:26:26 2026 reduce to 97170429 relations and 88376116 ideals in 7 passes Thu Aug 20 13:26:26 2026 max relations containing the same ideal: 155 Thu Aug 20 13:26:56 2026 removing 8085644 relations and 6085644 ideals in 2000000 cliques Thu Aug 20 13:26:59 2026 commencing in-memory singleton removal Thu Aug 20 13:27:00 2026 begin with 89084785 relations and 88376116 unique ideals Thu Aug 20 13:27:09 2026 reduce to 88517596 relations and 81713030 ideals in 9 passes Thu Aug 20 13:27:09 2026 max relations containing the same ideal: 148 Thu Aug 20 13:27:37 2026 removing 8042601 relations and 6042601 ideals in 2000000 cliques Thu Aug 20 13:27:39 2026 commencing in-memory singleton removal Thu Aug 20 13:27:41 2026 begin with 80474995 relations and 81713030 unique ideals Thu Aug 20 13:27:51 2026 reduce to 79863393 relations and 75046695 ideals in 10 passes Thu Aug 20 13:27:51 2026 max relations containing the same ideal: 136 Thu Aug 20 13:28:16 2026 removing 8037535 relations and 6037535 ideals in 2000000 cliques Thu Aug 20 13:28:18 2026 commencing in-memory singleton removal Thu Aug 20 13:28:19 2026 begin with 71825858 relations and 75046695 unique ideals Thu Aug 20 13:28:27 2026 reduce to 71148645 relations and 68317126 ideals in 9 passes Thu Aug 20 13:28:27 2026 max relations containing the same ideal: 127 Thu Aug 20 13:28:51 2026 removing 7716135 relations and 5830798 ideals in 1885337 cliques Thu Aug 20 13:28:53 2026 commencing in-memory singleton removal Thu Aug 20 13:28:54 2026 begin with 63432510 relations and 68317126 unique ideals Thu Aug 20 13:28:59 2026 reduce to 62732042 relations and 61769353 ideals in 9 passes Thu Aug 20 13:28:59 2026 max relations containing the same ideal: 115 Thu Aug 20 13:29:21 2026 removing 149168 relations and 132661 ideals in 16507 cliques Thu Aug 20 13:29:22 2026 commencing in-memory singleton removal Thu Aug 20 13:29:23 2026 begin with 62582874 relations and 61769353 unique ideals Thu Aug 20 13:29:27 2026 reduce to 62582660 relations and 61636478 ideals in 5 passes Thu Aug 20 13:29:27 2026 max relations containing the same ideal: 115 Thu Aug 20 13:29:29 2026 trying target density 90 Thu Aug 20 13:29:33 2026 relations with 0 large ideals: 59894 Thu Aug 20 13:29:33 2026 relations with 1 large ideals: 6802 Thu Aug 20 13:29:33 2026 relations with 2 large ideals: 84145 Thu Aug 20 13:29:33 2026 relations with 3 large ideals: 679033 Thu Aug 20 13:29:33 2026 relations with 4 large ideals: 3056158 Thu Aug 20 13:29:33 2026 relations with 5 large ideals: 8356713 Thu Aug 20 13:29:33 2026 relations with 6 large ideals: 14467853 Thu Aug 20 13:29:33 2026 relations with 7+ large ideals: 35872062 Thu Aug 20 13:29:33 2026 commencing 2-way merge Thu Aug 20 13:30:06 2026 reduce to 40017967 relation sets and 39071785 unique ideals Thu Aug 20 13:30:06 2026 commencing full merge Thu Aug 20 13:41:08 2026 memory use: 5248.7 MB Thu Aug 20 13:41:12 2026 found 19771159 cycles, need 19665985 Thu Aug 20 13:41:22 2026 weight of 19665985 cycles is about 1770408099 (90.02/cycle) Thu Aug 20 13:41:22 2026 distribution of cycle lengths: Thu Aug 20 13:41:22 2026 1 relations: 2161736 Thu Aug 20 13:41:22 2026 2 relations: 1975173 Thu Aug 20 13:41:22 2026 3 relations: 1868590 Thu Aug 20 13:41:22 2026 4 relations: 1763650 Thu Aug 20 13:41:22 2026 5 relations: 1656295 Thu Aug 20 13:41:22 2026 6 relations: 1552299 Thu Aug 20 13:41:22 2026 7 relations: 1420637 Thu Aug 20 13:41:22 2026 8 relations: 1276117 Thu Aug 20 13:41:22 2026 9 relations: 1127718 Thu Aug 20 13:41:22 2026 10+ relations: 4863770 Thu Aug 20 13:41:22 2026 heaviest cycle: 28 relations Thu Aug 20 13:41:24 2026 commencing cycle optimization Thu Aug 20 13:41:54 2026 start with 131126964 relations Thu Aug 20 13:45:03 2026 pruned 4229610 relations Thu Aug 20 13:45:03 2026 memory use: 3917.8 MB Thu Aug 20 13:45:03 2026 distribution of cycle lengths: Thu Aug 20 13:45:03 2026 1 relations: 2161736 Thu Aug 20 13:45:03 2026 2 relations: 2012594 Thu Aug 20 13:45:03 2026 3 relations: 1931620 Thu Aug 20 13:45:03 2026 4 relations: 1817091 Thu Aug 20 13:45:03 2026 5 relations: 1716483 Thu Aug 20 13:45:03 2026 6 relations: 1599511 Thu Aug 20 13:45:03 2026 7 relations: 1463570 Thu Aug 20 13:45:03 2026 8 relations: 1304306 Thu Aug 20 13:45:03 2026 9 relations: 1145915 Thu Aug 20 13:45:03 2026 10+ relations: 4513159 Thu Aug 20 13:45:03 2026 heaviest cycle: 27 relations Thu Aug 20 13:45:31 2026 trying target density 110 Thu Aug 20 13:45:37 2026 relations with 0 large ideals: 59894 Thu Aug 20 13:45:37 2026 relations with 1 large ideals: 6802 Thu Aug 20 13:45:37 2026 relations with 2 large ideals: 84145 Thu Aug 20 13:45:37 2026 relations with 3 large ideals: 679033 Thu Aug 20 13:45:37 2026 relations with 4 large ideals: 3056158 Thu Aug 20 13:45:37 2026 relations with 5 large ideals: 8356713 Thu Aug 20 13:45:37 2026 relations with 6 large ideals: 14467853 Thu Aug 20 13:45:37 2026 relations with 7+ large ideals: 35872062 Thu Aug 20 13:45:37 2026 commencing 2-way merge Thu Aug 20 13:46:19 2026 reduce to 40017967 relation sets and 39071785 unique ideals Thu Aug 20 13:46:19 2026 commencing full merge Thu Aug 20 14:15:39 2026 memory use: 1805.2 MB Thu Aug 20 14:15:39 2026 found 167245 cycles, need 8426374 Thu Aug 20 14:15:39 2026 too few cycles, matrix probably cannot build Thu Aug 20 14:15:40 2026 RelProcTime: 4882 Thu Aug 20 14:15:40 2026 Thu Aug 20 14:15:40 2026 commencing linear algebra Thu Aug 20 14:15:40 2026 using VBITS=256 Thu Aug 20 14:15:40 2026 building matrices for all densities Thu Aug 20 14:15:40 2026 found 1 density files Thu Aug 20 14:15:40 2026 building matrix for density 90 Thu Aug 20 14:15:42 2026 read 19665985 cycles Thu Aug 20 14:16:04 2026 cycles contain 61925208 unique relations Thu Aug 20 14:16:44 2026 read 61925208 relations Thu Aug 20 14:17:00 2026 using 20 quadratic characters above 4294917295 Thu Aug 20 14:17:19 2026 building initial matrix Thu Aug 20 14:23:56 2026 memory use: 7521.8 MB Thu Aug 20 14:24:01 2026 read 19665985 cycles Thu Aug 20 14:24:01 2026 matrix is 19665806 x 19665985 (7203.0 MB) with weight 2043802645 (103.93/col) Thu Aug 20 14:24:01 2026 sparse part has weight 1691561169 (86.01/col) Thu Aug 20 14:26:09 2026 filtering completed in 2 passes Thu Aug 20 14:26:13 2026 matrix is 19662843 x 19663008 (7202.8 MB) with weight 2043722066 (103.94/col) Thu Aug 20 14:26:13 2026 sparse part has weight 1691533531 (86.03/col) Thu Aug 20 14:26:45 2026 BLanczosTime: 665 Thu Aug 20 14:26:45 2026 elapsed time 01:32:27 Thu Aug 20 20:37:13 2026 Thu Aug 20 20:37:13 2026 Thu Aug 20 20:37:13 2026 Msieve v. 1.54 (SVN unknown) Thu Aug 20 20:37:13 2026 random seeds: 3136ac03 d305237b Thu Aug 20 20:37:13 2026 factoring 11929529473658748661258619699223880004328412025074328537159319868068244070444276625794246322910922696826367679162738652361624980535811736760094314077338066193994634335382606119878334991402145900974894581671653076472422575838911878154593625796931245419527209880193 (263 digits) Thu Aug 20 20:37:15 2026 no P-1/P+1/ECM available, skipping Thu Aug 20 20:37:15 2026 commencing number field sieve (263-digit input) Thu Aug 20 20:37:15 2026 R0: 157936836645516168838201626444501705760018922 Thu Aug 20 20:37:15 2026 R1: -12567292335484050831661 Thu Aug 20 20:37:15 2026 A0: -1 Thu Aug 20 20:37:15 2026 A1: 3 Thu Aug 20 20:37:15 2026 A2: 6 Thu Aug 20 20:37:15 2026 A3: -4 Thu Aug 20 20:37:15 2026 A4: -5 Thu Aug 20 20:37:15 2026 A5: 1 Thu Aug 20 20:37:15 2026 A6: 1 Thu Aug 20 20:37:15 2026 skew 1.38, size 5.304e-13, alpha 3.126, combined = 7.018e-14 rroots = 6 Thu Aug 20 20:37:15 2026 Thu Aug 20 20:37:15 2026 commencing linear algebra Thu Aug 20 20:37:15 2026 using VBITS=256 Thu Aug 20 20:37:15 2026 skipping matrix build Thu Aug 20 20:37:34 2026 matrix starts at (0, 0) Thu Aug 20 20:37:37 2026 matrix is 19662843 x 19663008 (7202.8 MB) with weight 2043722066 (103.94/col) Thu Aug 20 20:37:37 2026 sparse part has weight 1691533531 (86.03/col) Thu Aug 20 20:37:37 2026 saving the first 240 matrix rows for later Thu Aug 20 20:37:43 2026 matrix includes 256 packed rows Thu Aug 20 20:37:48 2026 matrix is 19662603 x 19663008 (6807.9 MB) with weight 1543205674 (78.48/col) Thu Aug 20 20:37:48 2026 sparse part has weight 1470052145 (74.76/col) Thu Aug 20 20:37:49 2026 using GPU 0 (NVIDIA GeForce RTX 5090) Thu Aug 20 20:37:49 2026 selected card has CUDA arch 12.0 Thu Aug 20 20:37:49 2026 computed block_nnz 128000000 (L2 cache 100663296 bytes, average column weight 74.8) Thu Aug 20 20:37:49 2026 nonzeros per matrix block: 256000000 Thu Aug 20 20:41:50 2026 commencing Lanczos iteration Thu Aug 20 20:41:51 2026 memory use: 16916.2 MB Thu Aug 20 20:42:07 2026 linear algebra at 0.2%, ETA 2h40m Thu Aug 20 20:42:29 2026 checking every 120000 dimensions, checkpointing every 7560000 dimensions Thu Aug 20 23:19:03 2026 lanczos halted after 77039 iterations (dim = 19662603) Thu Aug 20 23:20:40 2026 recovered 34 nontrivial dependencies Thu Aug 20 23:20:41 2026 BLanczosTime: 9806 Thu Aug 20 23:20:41 2026 elapsed time 02:43:28 Thu Aug 20 19:39:59 2026 Thu Aug 20 19:39:59 2026 Thu Aug 20 19:39:59 2026 Msieve v. 1.54 (SVN unknown) Thu Aug 20 19:39:59 2026 random seeds: faed05ab 94101a73 Thu Aug 20 19:39:59 2026 Using 14 OpenMP threads Thu Aug 20 19:39:59 2026 factoring 11929529473658748661258619699223880004328412025074328537159319868068244070444276625794246322910922696826367679162738652361624980535811736760094314077338066193994634335382606119878334991402145900974894581671653076472422575838911878154593625796931245419527209880193 (263 digits) Thu Aug 20 19:40:00 2026 no P-1/P+1/ECM available, skipping Thu Aug 20 19:40:00 2026 commencing number field sieve (263-digit input) Thu Aug 20 19:40:00 2026 R0: 157936836645516168838201626444501705760018922 Thu Aug 20 19:40:00 2026 R1: -12567292335484050831661 Thu Aug 20 19:40:00 2026 A0: -1 Thu Aug 20 19:40:00 2026 A1: 3 Thu Aug 20 19:40:00 2026 A2: 6 Thu Aug 20 19:40:00 2026 A3: -4 Thu Aug 20 19:40:00 2026 A4: -5 Thu Aug 20 19:40:00 2026 A5: 1 Thu Aug 20 19:40:00 2026 A6: 1 Thu Aug 20 19:40:00 2026 skew 1.38, size 5.304e-13, alpha 3.126, combined = 7.018e-14 rroots = 6 Thu Aug 20 19:40:00 2026 Thu Aug 20 19:40:00 2026 commencing square root phase Thu Aug 20 19:40:00 2026 reading relations for dependency 1 Thu Aug 20 19:40:01 2026 read 9828220 cycles Thu Aug 20 19:40:11 2026 cycles contain 30960834 unique relations Thu Aug 20 19:43:46 2026 read 30960834 relations Thu Aug 20 19:44:55 2026 multiplying 30960834 relations Thu Aug 20 19:46:23 2026 multiply complete, coefficients have about 806.26 million bits Thu Aug 20 19:46:25 2026 initial square root is modulo 17114281 Thu Aug 20 19:49:02 2026 sqrtTime: 542 Thu Aug 20 19:49:02 2026 p117 factor: 609385655652751752018726426365096185076781668231864195477258217283914391537218309699246995623188288681529929220877983 Thu Aug 20 19:49:02 2026 p146 factor: 19576321436185219269244148982874277759099674677973146871762940571836856410178153947823373763323444059057131916525540101289547125910390290031579871 Thu Aug 20 19:49:02 2026 elapsed time 00:09:03