Sat Apr 25 17:52:36 2026 Sat Apr 25 17:52:36 2026 Msieve v. 1.54 (SVN unknown) Sat Apr 25 17:52:36 2026 random seeds: 4d5a4ed4 5f254482 Sat Apr 25 17:52:36 2026 Using 8 OpenMP threads Sat Apr 25 17:52:36 2026 factoring 49361887653880426317742522567155579788953651209226794143022979018871456989943199414473083211349286499358517898831317704701280452465387898745421838070800758676891319348235859349096051223478469019415631222301155610134004846766417195217697 (236 digits) Sat Apr 25 17:52:36 2026 no P-1/P+1/ECM available, skipping Sat Apr 25 17:52:36 2026 commencing number field sieve (236-digit input) Sat Apr 25 17:52:36 2026 R0: 18360394814725074529315546965675792450403 Sat Apr 25 17:52:36 2026 R1: -1 Sat Apr 25 17:52:36 2026 A0: 1 Sat Apr 25 17:52:36 2026 A1: 1 Sat Apr 25 17:52:36 2026 A2: 1 Sat Apr 25 17:52:36 2026 A3: 1 Sat Apr 25 17:52:36 2026 A4: 1 Sat Apr 25 17:52:36 2026 A5: 1 Sat Apr 25 17:52:36 2026 A6: 1 Sat Apr 25 17:52:36 2026 skew 1.36, size 6.094e-12, alpha 2.428, combined = 4.459e-13 rroots = 0 Sat Apr 25 17:52:36 2026 Sat Apr 25 17:52:36 2026 commencing relation filtering Sat Apr 25 17:52:36 2026 setting 3 target densities:Sat Apr 25 17:52:36 2026 80Sat Apr 25 17:52:36 2026 100Sat Apr 25 17:52:36 2026 120Sat Apr 25 17:52:36 2026 Sat Apr 25 17:52:36 2026 estimated available RAM is 78540.1 MB Sat Apr 25 17:52:36 2026 commencing duplicate removal, pass 1 Sat Apr 25 17:53:14 2026 error -1 reading relation 50924991 Sat Apr 25 17:53:34 2026 error -1 reading relation 79216394 Sat Apr 25 17:53:51 2026 error -1 reading relation 104093059 Sat Apr 25 17:54:09 2026 error -1 reading relation 128199036 Sat Apr 25 17:54:19 2026 error -15 reading relation 143946784 Sat Apr 25 17:54:19 2026 error -1 reading relation 144198935 Sat Apr 25 17:54:36 2026 error -1 reading relation 168215337 Sat Apr 25 17:54:45 2026 skipped 15 relations with b > 2^32 Sat Apr 25 17:54:45 2026 skipped 1 relations with composite factors Sat Apr 25 17:54:45 2026 skipped 75 malformed relations Sat Apr 25 17:54:45 2026 found 33323534 hash collisions in 182840918 relations Sat Apr 25 17:54:45 2026 commencing duplicate removal, pass 2 Sat Apr 25 17:55:40 2026 found 32814985 duplicates and 150025933 unique relations Sat Apr 25 17:55:40 2026 memory use: 852.8 MB Sat Apr 25 17:55:40 2026 reading ideals above 720000 Sat Apr 25 17:55:40 2026 commencing singleton removal, initial pass Sat Apr 25 18:00:23 2026 memory use: 3012.0 MB Sat Apr 25 18:00:23 2026 reading all ideals from disk Sat Apr 25 18:00:27 2026 memory use: 6942.7 MB Sat Apr 25 18:00:32 2026 keeping 155667249 ideals with weight <= 200, target excess is 752122 Sat Apr 25 18:00:41 2026 commencing in-memory singleton removal Sat Apr 25 18:00:42 2026 begin with 150025933 relations and 155667249 unique ideals Sat Apr 25 18:00:55 2026 reduce to 69949365 relations and 63929019 ideals in 18 passes Sat Apr 25 18:00:55 2026 max relations containing the same ideal: 124 Sat Apr 25 18:01:11 2026 removing 7848443 relations and 6848443 ideals in 1000000 cliques Sat Apr 25 18:01:12 2026 commencing in-memory singleton removal Sat Apr 25 18:01:13 2026 begin with 62100922 relations and 63929019 unique ideals Sat Apr 25 18:01:17 2026 reduce to 61371874 relations and 56337244 ideals in 10 passes Sat Apr 25 18:01:17 2026 max relations containing the same ideal: 113 Sat Apr 25 18:01:31 2026 removing 5880764 relations and 4880764 ideals in 1000000 cliques Sat Apr 25 18:01:32 2026 commencing in-memory singleton removal Sat Apr 25 18:01:33 2026 begin with 55491110 relations and 56337244 unique ideals Sat Apr 25 18:01:37 2026 reduce to 55006215 relations and 50963066 ideals in 11 passes Sat Apr 25 18:01:37 2026 max relations containing the same ideal: 108 Sat Apr 25 18:01:51 2026 removing 5291354 relations and 4291354 ideals in 1000000 cliques Sat Apr 25 18:01:52 2026 commencing in-memory singleton removal Sat Apr 25 18:01:52 2026 begin with 49714861 relations and 50963066 unique ideals Sat Apr 25 18:01:56 2026 reduce to 49274934 relations and 46223840 ideals in 9 passes Sat Apr 25 18:01:56 2026 max relations containing the same ideal: 100 Sat Apr 25 18:02:06 2026 removing 5007796 relations and 4007796 ideals in 1000000 cliques Sat Apr 25 18:02:07 2026 commencing in-memory singleton removal Sat Apr 25 18:02:08 2026 begin with 44267138 relations and 46223840 unique ideals Sat Apr 25 18:02:11 2026 reduce to 43831283 relations and 41771874 ideals in 9 passes Sat Apr 25 18:02:11 2026 max relations containing the same ideal: 95 Sat Apr 25 18:02:22 2026 removing 4838270 relations and 3838270 ideals in 1000000 cliques Sat Apr 25 18:02:23 2026 commencing in-memory singleton removal Sat Apr 25 18:02:24 2026 begin with 38993013 relations and 41771874 unique ideals Sat Apr 25 18:02:26 2026 reduce to 38540072 relations and 37471215 ideals in 9 passes Sat Apr 25 18:02:26 2026 max relations containing the same ideal: 85 Sat Apr 25 18:02:34 2026 removing 1297840 relations and 1101445 ideals in 196395 cliques Sat Apr 25 18:02:35 2026 commencing in-memory singleton removal Sat Apr 25 18:02:35 2026 begin with 37242232 relations and 37471215 unique ideals Sat Apr 25 18:02:37 2026 reduce to 37209490 relations and 36336854 ideals in 7 passes Sat Apr 25 18:02:37 2026 max relations containing the same ideal: 81 Sat Apr 25 18:02:47 2026 trying target density 80 Sat Apr 25 18:02:50 2026 relations with 0 large ideals: 57599 Sat Apr 25 18:02:50 2026 relations with 1 large ideals: 14640 Sat Apr 25 18:02:50 2026 relations with 2 large ideals: 181647 Sat Apr 25 18:02:50 2026 relations with 3 large ideals: 1138733 Sat Apr 25 18:02:50 2026 relations with 4 large ideals: 3900355 Sat Apr 25 18:02:50 2026 relations with 5 large ideals: 7942473 Sat Apr 25 18:02:50 2026 relations with 6 large ideals: 9978211 Sat Apr 25 18:02:50 2026 relations with 7+ large ideals: 13995832 Sat Apr 25 18:02:50 2026 commencing 2-way merge Sat Apr 25 18:03:04 2026 reduce to 22805750 relation sets and 21933114 unique ideals Sat Apr 25 18:03:04 2026 commencing full merge Sat Apr 25 18:07:25 2026 memory use: 2859.9 MB Sat Apr 25 18:07:26 2026 found 11596944 cycles, need 11485314 Sat Apr 25 18:07:29 2026 weight of 11485314 cycles is about 919183449 (80.03/cycle) Sat Apr 25 18:07:29 2026 distribution of cycle lengths: Sat Apr 25 18:07:29 2026 1 relations: 1446815 Sat Apr 25 18:07:29 2026 2 relations: 1273482 Sat Apr 25 18:07:29 2026 3 relations: 1175616 Sat Apr 25 18:07:29 2026 4 relations: 1066149 Sat Apr 25 18:07:29 2026 5 relations: 972554 Sat Apr 25 18:07:29 2026 6 relations: 876341 Sat Apr 25 18:07:29 2026 7 relations: 777513 Sat Apr 25 18:07:29 2026 8 relations: 691238 Sat Apr 25 18:07:29 2026 9 relations: 609245 Sat Apr 25 18:07:29 2026 10+ relations: 2596361 Sat Apr 25 18:07:29 2026 heaviest cycle: 24 relations Sat Apr 25 18:07:31 2026 commencing cycle optimization Sat Apr 25 18:07:42 2026 start with 72146626 relations Sat Apr 25 18:08:59 2026 pruned 1890965 relations Sat Apr 25 18:09:00 2026 memory use: 2255.8 MB Sat Apr 25 18:09:00 2026 distribution of cycle lengths: Sat Apr 25 18:09:00 2026 1 relations: 1446815 Sat Apr 25 18:09:00 2026 2 relations: 1295192 Sat Apr 25 18:09:00 2026 3 relations: 1211282 Sat Apr 25 18:09:00 2026 4 relations: 1091721 Sat Apr 25 18:09:00 2026 5 relations: 999505 Sat Apr 25 18:09:00 2026 6 relations: 895504 Sat Apr 25 18:09:00 2026 7 relations: 793402 Sat Apr 25 18:09:00 2026 8 relations: 700142 Sat Apr 25 18:09:00 2026 9 relations: 614868 Sat Apr 25 18:09:00 2026 10+ relations: 2436883 Sat Apr 25 18:09:00 2026 heaviest cycle: 24 relations Sat Apr 25 18:09:10 2026 trying target density 100 Sat Apr 25 18:09:13 2026 relations with 0 large ideals: 57599 Sat Apr 25 18:09:13 2026 relations with 1 large ideals: 14640 Sat Apr 25 18:09:13 2026 relations with 2 large ideals: 181647 Sat Apr 25 18:09:13 2026 relations with 3 large ideals: 1138733 Sat Apr 25 18:09:13 2026 relations with 4 large ideals: 3900355 Sat Apr 25 18:09:13 2026 relations with 5 large ideals: 7942473 Sat Apr 25 18:09:13 2026 relations with 6 large ideals: 9978211 Sat Apr 25 18:09:13 2026 relations with 7+ large ideals: 13995832 Sat Apr 25 18:09:13 2026 commencing 2-way merge Sat Apr 25 18:09:27 2026 reduce to 22805750 relation sets and 21933114 unique ideals Sat Apr 25 18:09:27 2026 commencing full merge Sat Apr 25 18:15:04 2026 memory use: 2954.3 MB Sat Apr 25 18:15:06 2026 found 10685967 cycles, need 10631314 Sat Apr 25 18:15:08 2026 weight of 10631314 cycles is about 1063152542 (100.00/cycle) Sat Apr 25 18:15:08 2026 distribution of cycle lengths: Sat Apr 25 18:15:08 2026 1 relations: 997318 Sat Apr 25 18:15:08 2026 2 relations: 946364 Sat Apr 25 18:15:08 2026 3 relations: 904884 Sat Apr 25 18:15:08 2026 4 relations: 843614 Sat Apr 25 18:15:08 2026 5 relations: 791231 Sat Apr 25 18:15:08 2026 6 relations: 731294 Sat Apr 25 18:15:08 2026 7 relations: 678039 Sat Apr 25 18:15:08 2026 8 relations: 625242 Sat Apr 25 18:15:08 2026 9 relations: 567442 Sat Apr 25 18:15:08 2026 10+ relations: 3545886 Sat Apr 25 18:15:08 2026 heaviest cycle: 28 relations Sat Apr 25 18:15:10 2026 commencing cycle optimization Sat Apr 25 18:15:22 2026 start with 83548248 relations Sat Apr 25 18:17:14 2026 pruned 2856545 relations Sat Apr 25 18:17:14 2026 memory use: 2378.1 MB Sat Apr 25 18:17:14 2026 distribution of cycle lengths: Sat Apr 25 18:17:14 2026 1 relations: 997318 Sat Apr 25 18:17:14 2026 2 relations: 963409 Sat Apr 25 18:17:14 2026 3 relations: 934922 Sat Apr 25 18:17:14 2026 4 relations: 868097 Sat Apr 25 18:17:14 2026 5 relations: 818864 Sat Apr 25 18:17:14 2026 6 relations: 755291 Sat Apr 25 18:17:14 2026 7 relations: 699359 Sat Apr 25 18:17:14 2026 8 relations: 641334 Sat Apr 25 18:17:14 2026 9 relations: 581316 Sat Apr 25 18:17:14 2026 10+ relations: 3371404 Sat Apr 25 18:17:14 2026 heaviest cycle: 28 relations Sat Apr 25 18:17:27 2026 trying target density 120 Sat Apr 25 18:17:30 2026 relations with 0 large ideals: 57599 Sat Apr 25 18:17:30 2026 relations with 1 large ideals: 14640 Sat Apr 25 18:17:30 2026 relations with 2 large ideals: 181647 Sat Apr 25 18:17:30 2026 relations with 3 large ideals: 1138733 Sat Apr 25 18:17:30 2026 relations with 4 large ideals: 3900355 Sat Apr 25 18:17:30 2026 relations with 5 large ideals: 7942473 Sat Apr 25 18:17:30 2026 relations with 6 large ideals: 9978211 Sat Apr 25 18:17:30 2026 relations with 7+ large ideals: 13995832 Sat Apr 25 18:17:30 2026 commencing 2-way merge Sat Apr 25 18:17:44 2026 reduce to 22805750 relation sets and 21933114 unique ideals Sat Apr 25 18:17:44 2026 commencing full merge Sat Apr 25 18:30:02 2026 memory use: 1021.0 MB Sat Apr 25 18:30:02 2026 found 152247 cycles, need 4988322 Sat Apr 25 18:30:02 2026 too few cycles, matrix probably cannot build Sat Apr 25 18:30:02 2026 RelProcTime: 2246 Sat Apr 25 18:30:02 2026 Sat Apr 25 18:30:02 2026 commencing linear algebra Sat Apr 25 18:30:02 2026 using VBITS=256 Sat Apr 25 18:30:02 2026 building matrices for all densities Sat Apr 25 18:30:02 2026 found 2 density files Sat Apr 25 18:30:02 2026 building matrix for density 80 Sat Apr 25 18:30:03 2026 read 11485314 cycles Sat Apr 25 18:30:14 2026 cycles contain 36606264 unique relations Sat Apr 25 18:30:32 2026 read 36606264 relations Sat Apr 25 18:30:40 2026 using 20 quadratic characters above 4294917295 Sat Apr 25 18:30:53 2026 building initial matrix Sat Apr 25 18:34:24 2026 memory use: 4499.0 MB Sat Apr 25 18:34:27 2026 read 11485314 cycles Sat Apr 25 18:34:28 2026 matrix is 11485136 x 11485314 (3859.4 MB) with weight 1106099054 (96.31/col) Sat Apr 25 18:34:28 2026 sparse part has weight 885381696 (77.09/col) Sat Apr 25 18:35:29 2026 filtering completed in 2 passes Sat Apr 25 18:35:31 2026 matrix is 11480070 x 11480235 (3859.0 MB) with weight 1105954518 (96.34/col) Sat Apr 25 18:35:31 2026 sparse part has weight 885335504 (77.12/col) Sat Apr 25 18:35:44 2026 building matrix for density 100 Sat Apr 25 18:35:45 2026 read 10631314 cycles Sat Apr 25 18:35:56 2026 cycles contain 36609362 unique relations Sat Apr 25 18:36:17 2026 read 36609362 relations Sat Apr 25 18:36:26 2026 using 20 quadratic characters above 4294917295 Sat Apr 25 18:36:38 2026 building initial matrix Sat Apr 25 18:40:46 2026 memory use: 4513.2 MB Sat Apr 25 18:40:49 2026 read 10631314 cycles Sat Apr 25 18:40:50 2026 matrix is 10631134 x 10631314 (4297.9 MB) with weight 1225518324 (115.27/col) Sat Apr 25 18:40:50 2026 sparse part has weight 1009720608 (94.98/col) Sat Apr 25 18:41:48 2026 filtering completed in 2 passes Sat Apr 25 18:41:50 2026 matrix is 10629613 x 10629780 (4297.8 MB) with weight 1225468640 (115.29/col) Sat Apr 25 18:41:50 2026 sparse part has weight 1009703082 (94.99/col) Sat Apr 25 18:42:01 2026 BLanczosTime: 719 Sat Apr 25 18:42:01 2026 elapsed time 00:49:25 Sat Apr 25 18:42:27 2026 Sat Apr 25 18:42:27 2026 Sat Apr 25 18:42:27 2026 Msieve v. 1.54 (SVN unknown) Sat Apr 25 18:42:27 2026 random seeds: 53e31f45 490a4903 Sat Apr 25 18:42:27 2026 Using 8 OpenMP threads Sat Apr 25 18:42:27 2026 factoring 49361887653880426317742522567155579788953651209226794143022979018871456989943199414473083211349286499358517898831317704701280452465387898745421838070800758676891319348235859349096051223478469019415631222301155610134004846766417195217697 (236 digits) Sat Apr 25 18:42:27 2026 no P-1/P+1/ECM available, skipping Sat Apr 25 18:42:27 2026 commencing number field sieve (236-digit input) Sat Apr 25 18:42:27 2026 R0: 18360394814725074529315546965675792450403 Sat Apr 25 18:42:27 2026 R1: -1 Sat Apr 25 18:42:27 2026 A0: 1 Sat Apr 25 18:42:27 2026 A1: 1 Sat Apr 25 18:42:27 2026 A2: 1 Sat Apr 25 18:42:27 2026 A3: 1 Sat Apr 25 18:42:27 2026 A4: 1 Sat Apr 25 18:42:27 2026 A5: 1 Sat Apr 25 18:42:27 2026 A6: 1 Sat Apr 25 18:42:27 2026 skew 1.36, size 6.094e-12, alpha 2.428, combined = 4.459e-13 rroots = 0 Sat Apr 25 18:42:27 2026 Sat Apr 25 18:42:27 2026 commencing linear algebra Sat Apr 25 18:42:27 2026 using VBITS=256 Sat Apr 25 18:42:27 2026 selecting density 100 for linear algebra Sat Apr 25 18:42:30 2026 matrix starts at (0, 0) Sat Apr 25 18:42:31 2026 matrix is 10629613 x 10629780 (4297.8 MB) with weight 1225468640 (115.29/col) Sat Apr 25 18:42:31 2026 sparse part has weight 1009703082 (94.99/col) Sat Apr 25 18:42:31 2026 saving the first 240 matrix rows for later Sat Apr 25 18:42:32 2026 matrix includes 256 packed rows Sat Apr 25 18:42:34 2026 matrix is 10629373 x 10629780 (3976.8 MB) with weight 920245920 (86.57/col) Sat Apr 25 18:42:34 2026 sparse part has weight 872412312 (82.07/col) Sat Apr 25 18:42:34 2026 using GPU 0 (NVIDIA GeForce RTX 5070) Sat Apr 25 18:42:34 2026 selected card has CUDA arch 12.0 Sat Apr 25 18:43:12 2026 commencing Lanczos iteration Sat Apr 25 18:43:13 2026 memory use: 9332.2 MB Sat Apr 25 18:43:44 2026 linear algebra at 0.3%, ETA 2h58m Sat Apr 25 18:44:29 2026 checking every 60000 dimensions, checkpointing every 3660000 dimensions Sat Apr 25 21:37:01 2026 lanczos halted after 41647 iterations (dim = 10629369) Sat Apr 25 21:37:42 2026 recovered 34 nontrivial dependencies Sat Apr 25 21:37:42 2026 BLanczosTime: 10515 Sat Apr 25 21:37:42 2026 Sat Apr 25 21:37:42 2026 commencing square root phase Sat Apr 25 21:37:42 2026 handling dependencies 1 to 64 Sat Apr 25 21:37:42 2026 reading relations for dependency 1 Sat Apr 25 21:37:44 2026 read 5317563 cycles Sat Apr 25 21:37:54 2026 cycles contain 18310060 unique relations Sat Apr 25 21:40:27 2026 read 18310060 relations Sat Apr 25 21:41:38 2026 multiplying 18310060 relations Sat Apr 25 21:42:52 2026 multiply complete, coefficients have about 451.37 million bits Sat Apr 25 21:42:54 2026 initial square root is modulo 125622551 Sat Apr 25 21:45:40 2026 sqrtTime: 478 Sat Apr 25 21:45:40 2026 p99 factor: 599626036149431529976399494052102608765540412141438724122824735219326880389629822292498533647774653 Sat Apr 25 21:45:40 2026 p137 factor: 82321121295638762445536070886001167996633198452294694404229829908695957467719160969317766816332241009956076409826689330983517453331824949 Sat Apr 25 21:45:40 2026 elapsed time 03:03:13