Sun Aug 9 10:53:58 2026 Msieve v. 1.54 (SVN Unversioned directory) Sun Aug 9 10:53:58 2026 random seeds: c567ddb9 bf5017b1 Sun Aug 9 10:53:58 2026 Using 2 OpenMP threads Sun Aug 9 10:53:58 2026 factoring 3960103923448076517495951663914117215326693631172846986191748447770855971866892639660082011325012481437669545332340715376906636455293323505050074111650845394263 (160 digits) Sun Aug 9 10:53:58 2026 no P-1/P+1/ECM available, skipping Sun Aug 9 10:53:58 2026 commencing number field sieve (160-digit input) Sun Aug 9 10:53:58 2026 R0: -12573914158760171919078298812061 Sun Aug 9 10:53:58 2026 R1: 68627768547471393907 Sun Aug 9 10:53:58 2026 A0: 47125811237881432077596674115182026000 Sun Aug 9 10:53:58 2026 A1: 37422701413308038659872286336280 Sun Aug 9 10:53:58 2026 A2: 5118960131137639034581596 Sun Aug 9 10:53:58 2026 A3: -6141006454337402267 Sun Aug 9 10:53:58 2026 A4: -261773313888 Sun Aug 9 10:53:58 2026 A5: 37800 Sun Aug 9 10:53:58 2026 skew 6453616.85, size 2.246e-15, alpha -7.125, combined = 1.912e-12 rroots = 3 Sun Aug 9 10:53:58 2026 Sun Aug 9 10:53:58 2026 commencing relation filtering Sun Aug 9 10:53:58 2026 estimated available RAM is 31871.6 MB Sun Aug 9 10:53:58 2026 commencing duplicate removal, pass 1 Sun Aug 9 10:54:00 2026 error -11 reading relation 147724 Sun Aug 9 10:54:00 2026 error -5 reading relation 164663 Sun Aug 9 10:54:00 2026 error -1 reading relation 233194 Sun Aug 9 10:54:02 2026 error -1 reading relation 483840 Sun Aug 9 10:54:02 2026 error -1 reading relation 483841 Sun Aug 9 10:54:03 2026 error -5 reading relation 596868 Sun Aug 9 10:54:05 2026 error -5 reading relation 842027 Sun Aug 9 10:54:13 2026 error -1 reading relation 1845449 Sun Aug 9 10:54:13 2026 error -1 reading relation 1962727 Sun Aug 9 10:54:15 2026 error -1 reading relation 2179170 Sun Aug 9 10:54:16 2026 error -5 reading relation 2245477 Sun Aug 9 10:54:21 2026 error -1 reading relation 3105135 Sun Aug 9 10:54:25 2026 error -11 reading relation 3736443 Sun Aug 9 10:54:27 2026 error -5 reading relation 3954810 Sun Aug 9 10:54:27 2026 error -5 reading relation 3977611 Sun Aug 9 10:54:28 2026 error -5 reading relation 4033563 Sun Aug 9 10:54:29 2026 error -5 reading relation 4190597 Sun Aug 9 10:54:30 2026 error -11 reading relation 4316764 Sun Aug 9 10:54:46 2026 error -1 reading relation 6794248 Sun Aug 9 10:56:12 2026 error -5 reading relation 18669345 Sun Aug 9 10:56:28 2026 error -1 reading relation 20775883 Sun Aug 9 10:56:28 2026 error -1 reading relation 20775884 Sun Aug 9 10:56:28 2026 error -1 reading relation 20775885 Sun Aug 9 10:56:35 2026 error -5 reading relation 21773022 Sun Aug 9 10:56:37 2026 error -1 reading relation 21948446 Sun Aug 9 10:57:05 2026 error -1 reading relation 25666808 Sun Aug 9 10:58:17 2026 error -1 reading relation 35065826 Sun Aug 9 10:58:28 2026 error -1 reading relation 36603000 Sun Aug 9 10:58:28 2026 error -1 reading relation 36603001 Sun Aug 9 10:59:12 2026 error -1 reading relation 42967222 Sun Aug 9 10:59:14 2026 error -11 reading relation 43184175 Sun Aug 9 10:59:22 2026 error -1 reading relation 44363156 Sun Aug 9 10:59:37 2026 error -1 reading relation 46132164 Sun Aug 9 10:59:38 2026 error -11 reading relation 46276461 Sun Aug 9 10:59:41 2026 error -11 reading relation 46661307 Sun Aug 9 10:59:44 2026 error -1 reading relation 47005916 Sun Aug 9 10:59:45 2026 error -11 reading relation 47134139 Sun Aug 9 10:59:45 2026 error -1 reading relation 47156362 Sun Aug 9 10:59:47 2026 error -5 reading relation 47337786 Sun Aug 9 10:59:50 2026 error -6 reading relation 47747927 Sun Aug 9 10:59:50 2026 error -11 reading relation 47780732 Sun Aug 9 10:59:55 2026 error -5 reading relation 48408585 Sun Aug 9 10:59:58 2026 error -11 reading relation 48749951 Sun Aug 9 11:00:05 2026 error -1 reading relation 49600839 Sun Aug 9 11:00:06 2026 error -1 reading relation 49655526 Sun Aug 9 11:00:06 2026 error -1 reading relation 49655527 Sun Aug 9 11:00:12 2026 error -11 reading relation 50459061 Sun Aug 9 11:00:12 2026 error -1 reading relation 50473154 Sun Aug 9 11:00:12 2026 error -5 reading relation 50495209 Sun Aug 9 11:00:15 2026 error -1 reading relation 50882256 Sun Aug 9 11:00:16 2026 error -5 reading relation 50914002 Sun Aug 9 11:00:16 2026 error -5 reading relation 50935562 Sun Aug 9 11:00:18 2026 error -1 reading relation 51233045 Sun Aug 9 11:00:24 2026 error -1 reading relation 52009368 Sun Aug 9 11:00:27 2026 error -11 reading relation 52401752 Sun Aug 9 11:00:27 2026 error -5 reading relation 52416433 Sun Aug 9 11:00:27 2026 error -11 reading relation 52438226 Sun Aug 9 11:00:27 2026 error -1 reading relation 52509639 Sun Aug 9 11:00:27 2026 error -1 reading relation 52525964 Sun Aug 9 11:00:28 2026 error -1 reading relation 52647232 Sun Aug 9 11:00:29 2026 error -1 reading relation 52655832 Sun Aug 9 11:00:31 2026 error -5 reading relation 52959801 Sun Aug 9 11:00:32 2026 error -11 reading relation 53002622 Sun Aug 9 11:00:53 2026 error -1 reading relation 55722473 Sun Aug 9 11:02:28 2026 error -1 reading relation 69333566 Sun Aug 9 11:02:38 2026 error -1 reading relation 70741937 Sun Aug 9 11:07:46 2026 error -1 reading relation 115153718 Sun Aug 9 11:07:46 2026 error -1 reading relation 115153719 Sun Aug 9 11:07:46 2026 error -1 reading relation 115192302 Sun Aug 9 11:07:47 2026 error -1 reading relation 115268516 Sun Aug 9 11:07:48 2026 skipped 144 malformed relations Sun Aug 9 11:07:48 2026 found 5785683 hash collisions in 115422702 relations Sun Aug 9 11:08:24 2026 added 122163 free relations Sun Aug 9 11:08:24 2026 commencing duplicate removal, pass 2 Sun Aug 9 11:12:11 2026 found 0 duplicates and 115544865 unique relations Sun Aug 9 11:12:11 2026 memory use: 394.4 MB Sun Aug 9 11:12:11 2026 reading ideals above 720000 Sun Aug 9 11:12:11 2026 commencing singleton removal, initial pass Sun Aug 9 11:34:12 2026 memory use: 3012.0 MB Sun Aug 9 11:34:12 2026 reading all ideals from disk Sun Aug 9 11:35:03 2026 memory use: 5169.5 MB Sun Aug 9 11:35:34 2026 keeping 114051054 ideals with weight <= 200, target excess is 599767 Sun Aug 9 11:35:58 2026 commencing in-memory singleton removal Sun Aug 9 11:36:14 2026 begin with 115544865 relations and 114051054 unique ideals Sun Aug 9 11:37:39 2026 reduce to 57886118 relations and 48703295 ideals in 15 passes Sun Aug 9 11:37:39 2026 max relations containing the same ideal: 129 Sun Aug 9 11:38:40 2026 removing 6337258 relations and 5337258 ideals in 1000000 cliques Sun Aug 9 11:38:44 2026 commencing in-memory singleton removal Sun Aug 9 11:38:51 2026 begin with 51548860 relations and 48703295 unique ideals Sun Aug 9 11:39:32 2026 reduce to 51053441 relations and 42859632 ideals in 10 passes Sun Aug 9 11:39:32 2026 max relations containing the same ideal: 120 Sun Aug 9 11:40:22 2026 removing 4787058 relations and 3787058 ideals in 1000000 cliques Sun Aug 9 11:40:26 2026 commencing in-memory singleton removal Sun Aug 9 11:40:31 2026 begin with 46266383 relations and 42859632 unique ideals Sun Aug 9 11:40:59 2026 reduce to 45931670 relations and 38731352 ideals in 8 passes Sun Aug 9 11:40:59 2026 max relations containing the same ideal: 111 Sun Aug 9 11:41:45 2026 removing 4311430 relations and 3311430 ideals in 1000000 cliques Sun Aug 9 11:41:48 2026 commencing in-memory singleton removal Sun Aug 9 11:41:53 2026 begin with 41620240 relations and 38731352 unique ideals Sun Aug 9 11:42:14 2026 reduce to 41318003 relations and 35111662 ideals in 7 passes Sun Aug 9 11:42:14 2026 max relations containing the same ideal: 104 Sun Aug 9 11:42:56 2026 removing 4068431 relations and 3068431 ideals in 1000000 cliques Sun Aug 9 11:42:59 2026 commencing in-memory singleton removal Sun Aug 9 11:43:03 2026 begin with 37249572 relations and 35111662 unique ideals Sun Aug 9 11:43:25 2026 reduce to 36956420 relations and 31743745 ideals in 8 passes Sun Aug 9 11:43:25 2026 max relations containing the same ideal: 97 Sun Aug 9 11:44:02 2026 removing 3916805 relations and 2916805 ideals in 1000000 cliques Sun Aug 9 11:44:05 2026 commencing in-memory singleton removal Sun Aug 9 11:44:09 2026 begin with 33039615 relations and 31743745 unique ideals Sun Aug 9 11:44:27 2026 reduce to 32742471 relations and 28522778 ideals in 8 passes Sun Aug 9 11:44:27 2026 max relations containing the same ideal: 90 Sun Aug 9 11:44:59 2026 removing 3820270 relations and 2820270 ideals in 1000000 cliques Sun Aug 9 11:45:02 2026 commencing in-memory singleton removal Sun Aug 9 11:45:05 2026 begin with 28922201 relations and 28522778 unique ideals Sun Aug 9 11:45:17 2026 reduce to 28612526 relations and 25384726 ideals in 7 passes Sun Aug 9 11:45:17 2026 max relations containing the same ideal: 86 Sun Aug 9 11:45:46 2026 removing 3749221 relations and 2749221 ideals in 1000000 cliques Sun Aug 9 11:45:48 2026 commencing in-memory singleton removal Sun Aug 9 11:45:51 2026 begin with 24863305 relations and 25384726 unique ideals Sun Aug 9 11:46:04 2026 reduce to 24531512 relations and 22293803 ideals in 8 passes Sun Aug 9 11:46:04 2026 max relations containing the same ideal: 74 Sun Aug 9 11:46:29 2026 removing 3696115 relations and 2696115 ideals in 1000000 cliques Sun Aug 9 11:46:31 2026 commencing in-memory singleton removal Sun Aug 9 11:46:33 2026 begin with 20835397 relations and 22293803 unique ideals Sun Aug 9 11:46:44 2026 reduce to 20465868 relations and 19215382 ideals in 9 passes Sun Aug 9 11:46:44 2026 max relations containing the same ideal: 64 Sun Aug 9 11:47:05 2026 removing 2292052 relations and 1737296 ideals in 554756 cliques Sun Aug 9 11:47:07 2026 commencing in-memory singleton removal Sun Aug 9 11:47:08 2026 begin with 18173816 relations and 19215382 unique ideals Sun Aug 9 11:47:16 2026 reduce to 18017414 relations and 17318074 ideals in 7 passes Sun Aug 9 11:47:16 2026 max relations containing the same ideal: 59 Sun Aug 9 11:47:39 2026 relations with 0 large ideals: 1990 Sun Aug 9 11:47:39 2026 relations with 1 large ideals: 12900 Sun Aug 9 11:47:39 2026 relations with 2 large ideals: 171579 Sun Aug 9 11:47:39 2026 relations with 3 large ideals: 963496 Sun Aug 9 11:47:39 2026 relations with 4 large ideals: 2820419 Sun Aug 9 11:47:39 2026 relations with 5 large ideals: 4752758 Sun Aug 9 11:47:39 2026 relations with 6 large ideals: 4865562 Sun Aug 9 11:47:39 2026 relations with 7+ large ideals: 4428710 Sun Aug 9 11:47:39 2026 commencing 2-way merge Sun Aug 9 11:48:04 2026 reduce to 11190400 relation sets and 10491060 unique ideals Sun Aug 9 11:48:04 2026 commencing full merge Sun Aug 9 11:55:20 2026 memory use: 1344.0 MB Sun Aug 9 11:55:22 2026 found 5624857 cycles, need 5529260 Sun Aug 9 11:55:26 2026 weight of 5529260 cycles is about 498100456 (90.08/cycle) Sun Aug 9 11:55:26 2026 distribution of cycle lengths: Sun Aug 9 11:55:26 2026 1 relations: 366143 Sun Aug 9 11:55:26 2026 2 relations: 487723 Sun Aug 9 11:55:26 2026 3 relations: 532872 Sun Aug 9 11:55:26 2026 4 relations: 529163 Sun Aug 9 11:55:26 2026 5 relations: 524077 Sun Aug 9 11:55:26 2026 6 relations: 495844 Sun Aug 9 11:55:26 2026 7 relations: 465947 Sun Aug 9 11:55:26 2026 8 relations: 421355 Sun Aug 9 11:55:26 2026 9 relations: 367445 Sun Aug 9 11:55:26 2026 10+ relations: 1338691 Sun Aug 9 11:55:26 2026 heaviest cycle: 21 relations Sun Aug 9 11:55:29 2026 commencing cycle optimization Sun Aug 9 11:55:51 2026 start with 37313349 relations Sun Aug 9 11:58:01 2026 pruned 1252852 relations Sun Aug 9 11:58:02 2026 memory use: 1124.9 MB Sun Aug 9 11:58:02 2026 distribution of cycle lengths: Sun Aug 9 11:58:02 2026 1 relations: 366143 Sun Aug 9 11:58:02 2026 2 relations: 499661 Sun Aug 9 11:58:02 2026 3 relations: 554540 Sun Aug 9 11:58:02 2026 4 relations: 548437 Sun Aug 9 11:58:02 2026 5 relations: 545305 Sun Aug 9 11:58:02 2026 6 relations: 513184 Sun Aug 9 11:58:02 2026 7 relations: 482462 Sun Aug 9 11:58:02 2026 8 relations: 430941 Sun Aug 9 11:58:02 2026 9 relations: 373944 Sun Aug 9 11:58:02 2026 10+ relations: 1214643 Sun Aug 9 11:58:02 2026 heaviest cycle: 21 relations Sun Aug 9 11:58:22 2026 RelProcTime: 3864 Sun Aug 9 11:58:22 2026 Sun Aug 9 11:58:22 2026 commencing linear algebra Sun Aug 9 11:58:22 2026 using VBITS=256 Sun Aug 9 11:58:23 2026 read 5529260 cycles Sun Aug 9 11:58:36 2026 cycles contain 17586489 unique relations Sun Aug 9 12:02:13 2026 read 17586489 relations Sun Aug 9 12:03:02 2026 using 20 quadratic characters above 4294917295 Sun Aug 9 12:04:03 2026 building initial matrix Sun Aug 9 12:10:06 2026 memory use: 2459.4 MB Sun Aug 9 12:10:19 2026 read 5529260 cycles Sun Aug 9 12:10:20 2026 matrix is 5529083 x 5529260 (2065.2 MB) with weight 646756081 (116.97/col) Sun Aug 9 12:10:20 2026 sparse part has weight 475023753 (85.91/col) Sun Aug 9 12:11:58 2026 filtering completed in 2 passes Sun Aug 9 12:12:01 2026 matrix is 5528257 x 5528433 (2065.1 MB) with weight 646717950 (116.98/col) Sun Aug 9 12:12:01 2026 sparse part has weight 475012054 (85.92/col) Sun Aug 9 12:12:22 2026 matrix starts at (0, 0) Sun Aug 9 12:12:23 2026 matrix is 5528257 x 5528433 (2065.1 MB) with weight 646717950 (116.98/col) Sun Aug 9 12:12:23 2026 sparse part has weight 475012054 (85.92/col) Sun Aug 9 12:12:23 2026 saving the first 240 matrix rows for later Sun Aug 9 12:12:25 2026 matrix includes 256 packed rows Sun Aug 9 12:12:28 2026 matrix is 5528017 x 5528433 (1886.7 MB) with weight 433126861 (78.35/col) Sun Aug 9 12:12:28 2026 sparse part has weight 406135526 (73.46/col) Sun Aug 9 12:12:29 2026 using GPU 0 (NVIDIA GeForce RTX 3080) Sun Aug 9 12:12:29 2026 selected card has CUDA arch 8.6 Sun Aug 9 12:13:36 2026 commencing Lanczos iteration Sun Aug 9 12:13:38 2026 memory use: 4617.0 MB Sun Aug 9 12:14:00 2026 linear algebra at 0.6%, ETA 1h 2m Sun Aug 9 12:14:32 2026 checking every 80000 dimensions, checkpointing every 5280000 dimensions Sun Aug 9 13:16:59 2026 lanczos halted after 21660 iterations (dim = 5528015) Sun Aug 9 13:17:43 2026 recovered 30 nontrivial dependencies Sun Aug 9 13:17:43 2026 BLanczosTime: 4761 Sun Aug 9 13:17:43 2026 Sun Aug 9 13:17:43 2026 commencing square root phase Sun Aug 9 13:17:43 2026 handling dependencies 1 to 64 Sun Aug 9 13:17:43 2026 reading relations for dependency 1 Sun Aug 9 13:17:45 2026 read 2765546 cycles Sun Aug 9 13:17:53 2026 cycles contain 8796322 unique relations Sun Aug 9 13:22:08 2026 read 8796322 relations Sun Aug 9 13:24:50 2026 multiplying 8796322 relations Sun Aug 9 13:28:33 2026 multiply complete, coefficients have about 452.90 million bits Sun Aug 9 13:28:36 2026 initial square root is modulo 133831223 Sun Aug 9 13:35:48 2026 sqrtTime: 1085 Sun Aug 9 13:35:48 2026 p72 factor: 389890066644752123997760165209050170657411036883004117116529110613814541 Sun Aug 9 13:35:48 2026 p89 factor: 10156975676572751860346405463231370835325349550818083882725536380671210302800283850509043 Sun Aug 9 13:35:48 2026 elapsed time 02:41:50