Sun Jul 26 08:09:23 2026 Sun Jul 26 08:09:23 2026 Sun Jul 26 08:09:23 2026 Msieve v. 1.54 (SVN Unversioned directory) Sun Jul 26 08:09:23 2026 random seeds: 5dc9273f 73406312 Sun Jul 26 08:09:23 2026 factoring 406224276635482497013071309520946503637847945440320726128609131962701702602735579457182311448562661070396412627056780144032331010420436258274922148432229407 (156 digits) Sun Jul 26 08:09:24 2026 searching for 15-digit factors Sun Jul 26 08:09:24 2026 commencing number field sieve (156-digit input) Sun Jul 26 08:09:24 2026 R0: -3174511919859543711799546973095 Sun Jul 26 08:09:24 2026 R1: 25462557544619350367 Sun Jul 26 08:09:24 2026 A0: -91123297517745173328657849427373460288 Sun Jul 26 08:09:24 2026 A1: 75340111308895154814983368954254 Sun Jul 26 08:09:24 2026 A2: -2598238828367109824146073 Sun Jul 26 08:09:24 2026 A3: -1112394860462325077 Sun Jul 26 08:09:24 2026 A4: 7618127218 Sun Jul 26 08:09:24 2026 A5: 2520 Sun Jul 26 08:09:24 2026 skew 12488842.21, size 6.072e-15, alpha -6.899, combined = 3.410e-12 rroots = 5 Sun Jul 26 08:09:24 2026 Sun Jul 26 08:09:24 2026 commencing relation filtering Sun Jul 26 08:09:24 2026 setting target matrix density to 100.0 Sun Jul 26 08:09:24 2026 estimated available RAM is 15950.7 MB Sun Jul 26 08:09:24 2026 commencing duplicate removal, pass 1 Sun Jul 26 08:12:20 2026 error -15 reading relation 31640608 Sun Jul 26 08:15:16 2026 found 3385968 hash collisions in 62634720 relations Sun Jul 26 08:15:41 2026 added 122397 free relations Sun Jul 26 08:15:41 2026 commencing duplicate removal, pass 2 Sun Jul 26 08:15:53 2026 found 0 duplicates and 62757117 unique relations Sun Jul 26 08:15:53 2026 memory use: 197.2 MB Sun Jul 26 08:15:53 2026 reading ideals above 720000 Sun Jul 26 08:15:53 2026 commencing singleton removal, initial pass Sun Jul 26 08:21:06 2026 memory use: 1506.0 MB Sun Jul 26 08:21:06 2026 reading all ideals from disk Sun Jul 26 08:21:07 2026 memory use: 2258.9 MB Sun Jul 26 08:21:12 2026 keeping 61310163 ideals with weight <= 200, target excess is 334588 Sun Jul 26 08:21:17 2026 commencing in-memory singleton removal Sun Jul 26 08:21:21 2026 begin with 62757117 relations and 61310163 unique ideals Sun Jul 26 08:21:55 2026 reduce to 33791607 relations and 28847721 ideals in 15 passes Sun Jul 26 08:21:55 2026 max relations containing the same ideal: 140 Sun Jul 26 08:22:07 2026 removing 5147757 relations and 4147757 ideals in 1000000 cliques Sun Jul 26 08:22:08 2026 commencing in-memory singleton removal Sun Jul 26 08:22:10 2026 begin with 28643850 relations and 28847721 unique ideals Sun Jul 26 08:22:22 2026 reduce to 28060839 relations and 24096172 ideals in 9 passes Sun Jul 26 08:22:22 2026 max relations containing the same ideal: 120 Sun Jul 26 08:22:32 2026 removing 4023897 relations and 3023897 ideals in 1000000 cliques Sun Jul 26 08:22:33 2026 commencing in-memory singleton removal Sun Jul 26 08:22:34 2026 begin with 24036942 relations and 24096172 unique ideals Sun Jul 26 08:22:44 2026 reduce to 23603902 relations and 20624203 ideals in 8 passes Sun Jul 26 08:22:44 2026 max relations containing the same ideal: 105 Sun Jul 26 08:22:51 2026 removing 3711107 relations and 2711107 ideals in 1000000 cliques Sun Jul 26 08:22:52 2026 commencing in-memory singleton removal Sun Jul 26 08:22:53 2026 begin with 19892795 relations and 20624203 unique ideals Sun Jul 26 08:23:01 2026 reduce to 19466594 relations and 17470497 ideals in 8 passes Sun Jul 26 08:23:01 2026 max relations containing the same ideal: 93 Sun Jul 26 08:23:08 2026 removing 3559591 relations and 2559591 ideals in 1000000 cliques Sun Jul 26 08:23:09 2026 commencing in-memory singleton removal Sun Jul 26 08:23:09 2026 begin with 15907003 relations and 17470497 unique ideals Sun Jul 26 08:23:16 2026 reduce to 15446469 relations and 14429313 ideals in 9 passes Sun Jul 26 08:23:16 2026 max relations containing the same ideal: 79 Sun Jul 26 08:23:21 2026 removing 2427990 relations and 1798957 ideals in 629033 cliques Sun Jul 26 08:23:22 2026 commencing in-memory singleton removal Sun Jul 26 08:23:23 2026 begin with 13018479 relations and 14429313 unique ideals Sun Jul 26 08:23:28 2026 reduce to 12767147 relations and 12369908 ideals in 8 passes Sun Jul 26 08:23:28 2026 max relations containing the same ideal: 71 Sun Jul 26 08:23:32 2026 removing 70705 relations and 61589 ideals in 9116 cliques Sun Jul 26 08:23:32 2026 commencing in-memory singleton removal Sun Jul 26 08:23:33 2026 begin with 12696442 relations and 12369908 unique ideals Sun Jul 26 08:23:35 2026 reduce to 12696212 relations and 12308089 ideals in 4 passes Sun Jul 26 08:23:35 2026 max relations containing the same ideal: 71 Sun Jul 26 08:23:37 2026 relations with 0 large ideals: 1164 Sun Jul 26 08:23:37 2026 relations with 1 large ideals: 4463 Sun Jul 26 08:23:37 2026 relations with 2 large ideals: 66674 Sun Jul 26 08:23:37 2026 relations with 3 large ideals: 432104 Sun Jul 26 08:23:37 2026 relations with 4 large ideals: 1483044 Sun Jul 26 08:23:37 2026 relations with 5 large ideals: 2940153 Sun Jul 26 08:23:37 2026 relations with 6 large ideals: 3571708 Sun Jul 26 08:23:37 2026 relations with 7+ large ideals: 4196902 Sun Jul 26 08:23:37 2026 commencing 2-way merge Sun Jul 26 08:23:43 2026 reduce to 7960130 relation sets and 7572007 unique ideals Sun Jul 26 08:23:43 2026 commencing full merge Sun Jul 26 08:25:33 2026 memory use: 986.5 MB Sun Jul 26 08:25:34 2026 found 3834637 cycles, need 3788207 Sun Jul 26 08:25:35 2026 weight of 3788207 cycles is about 379209634 (100.10/cycle) Sun Jul 26 08:25:35 2026 distribution of cycle lengths: Sun Jul 26 08:25:35 2026 1 relations: 213758 Sun Jul 26 08:25:35 2026 2 relations: 299760 Sun Jul 26 08:25:35 2026 3 relations: 332153 Sun Jul 26 08:25:35 2026 4 relations: 331831 Sun Jul 26 08:25:35 2026 5 relations: 328693 Sun Jul 26 08:25:35 2026 6 relations: 318295 Sun Jul 26 08:25:35 2026 7 relations: 298271 Sun Jul 26 08:25:35 2026 8 relations: 276745 Sun Jul 26 08:25:35 2026 9 relations: 249293 Sun Jul 26 08:25:35 2026 10+ relations: 1139408 Sun Jul 26 08:25:35 2026 heaviest cycle: 25 relations Sun Jul 26 08:25:36 2026 commencing cycle optimization Sun Jul 26 08:25:41 2026 start with 28354853 relations Sun Jul 26 08:26:18 2026 pruned 1082343 relations Sun Jul 26 08:26:18 2026 memory use: 815.9 MB Sun Jul 26 08:26:18 2026 distribution of cycle lengths: Sun Jul 26 08:26:18 2026 1 relations: 213758 Sun Jul 26 08:26:18 2026 2 relations: 307429 Sun Jul 26 08:26:18 2026 3 relations: 346243 Sun Jul 26 08:26:18 2026 4 relations: 344980 Sun Jul 26 08:26:18 2026 5 relations: 343339 Sun Jul 26 08:26:18 2026 6 relations: 330752 Sun Jul 26 08:26:18 2026 7 relations: 310596 Sun Jul 26 08:26:18 2026 8 relations: 285491 Sun Jul 26 08:26:18 2026 9 relations: 255635 Sun Jul 26 08:26:18 2026 10+ relations: 1049984 Sun Jul 26 08:26:18 2026 heaviest cycle: 24 relations Sun Jul 26 08:26:23 2026 RelProcTime: 1019 Sun Jul 26 08:26:23 2026 Sun Jul 26 08:26:23 2026 commencing linear algebra Sun Jul 26 08:26:23 2026 using VBITS=512 Sun Jul 26 08:26:24 2026 read 3788207 cycles Sun Jul 26 08:26:29 2026 cycles contain 12462784 unique relations Sun Jul 26 08:27:11 2026 read 12462784 relations Sun Jul 26 08:27:22 2026 using 20 quadratic characters above 4294917295 Sun Jul 26 08:28:04 2026 building initial matrix Sun Jul 26 08:29:52 2026 memory use: 1708.0 MB Sun Jul 26 08:29:54 2026 read 3788207 cycles Sun Jul 26 08:29:54 2026 matrix is 3788030 x 3788207 (1535.5 MB) with weight 475132420 (125.42/col) Sun Jul 26 08:29:54 2026 sparse part has weight 357060895 (94.26/col) Sun Jul 26 08:30:21 2026 filtering completed in 2 passes Sun Jul 26 08:30:22 2026 matrix is 3787722 x 3787899 (1535.5 MB) with weight 475117902 (125.43/col) Sun Jul 26 08:30:22 2026 sparse part has weight 357056302 (94.26/col) Sun Jul 26 08:30:28 2026 matrix starts at (0, 0) Sun Jul 26 08:30:29 2026 matrix is 3787722 x 3787899 (1535.5 MB) with weight 475117902 (125.43/col) Sun Jul 26 08:30:29 2026 sparse part has weight 357056302 (94.26/col) Sun Jul 26 08:30:29 2026 saving the first 496 matrix rows for later Sun Jul 26 08:30:30 2026 matrix includes 512 packed rows Sun Jul 26 08:30:32 2026 matrix is 3787226 x 3787899 (1425.4 MB) with weight 301749841 (79.66/col) Sun Jul 26 08:30:32 2026 sparse part has weight 282752693 (74.65/col) Sun Jul 26 08:30:32 2026 using GPU 0 (NVIDIA GeForce GTX 1660) Sun Jul 26 08:30:32 2026 selected card has CUDA arch 7.5 Sun Jul 26 08:30:53 2026 commencing Lanczos iteration Sun Jul 26 08:30:53 2026 memory use: 4108.0 MB Sun Jul 26 08:31:28 2026 linear algebra at 0.4%, ETA 2h23m Sun Jul 26 08:31:29 2026 checkpointing every 1590000 dimensions Sun Jul 26 11:02:58 2026 lanczos halted after 7409 iterations (dim = 3787225) Sun Jul 26 11:03:40 2026 recovered 28 nontrivial dependencies Sun Jul 26 11:03:41 2026 BLanczosTime: 9438 Sun Jul 26 11:03:41 2026 Sun Jul 26 11:03:41 2026 commencing square root phase Sun Jul 26 11:03:41 2026 handling dependencies 1 to 64 Sun Jul 26 11:03:41 2026 reading relations for dependency 1 Sun Jul 26 11:03:41 2026 read 1892847 cycles Sun Jul 26 11:03:43 2026 cycles contain 6230078 unique relations Sun Jul 26 11:04:07 2026 read 6230078 relations Sun Jul 26 11:04:29 2026 multiplying 6230078 relations Sun Jul 26 11:08:20 2026 multiply complete, coefficients have about 293.81 million bits Sun Jul 26 11:08:22 2026 initial square root is modulo 187081 Sun Jul 26 11:13:07 2026 GCD is N, no factor found Sun Jul 26 11:13:07 2026 reading relations for dependency 2 Sun Jul 26 11:13:08 2026 read 1892151 cycles Sun Jul 26 11:13:10 2026 cycles contain 6226476 unique relations Sun Jul 26 11:13:33 2026 read 6226476 relations Sun Jul 26 11:13:55 2026 multiplying 6226476 relations Sun Jul 26 11:17:47 2026 multiply complete, coefficients have about 293.63 million bits Sun Jul 26 11:17:48 2026 initial square root is modulo 185869 Sun Jul 26 11:22:31 2026 sqrtTime: 1130 Sun Jul 26 11:22:31 2026 p64 factor: 3891761152425605746651324692835550147441183482076113031715270319 Sun Jul 26 11:22:31 2026 p93 factor: 104380577513678188692825985439949670448704496562251858470088585978084414201087904411237297553 Sun Jul 26 11:22:31 2026 elapsed time 03:13:08