Sun Jun 15 16:53:12 2025 Sun Jun 15 16:53:12 2025 Sun Jun 15 16:53:12 2025 Msieve v. 1.54 (SVN Unversioned directory) Sun Jun 15 16:53:12 2025 random seeds: 077a2deb c0b5a66a Sun Jun 15 16:53:12 2025 MPI process 0 of 1 Sun Jun 15 16:53:12 2025 Using 32 OpenMP threads Sun Jun 15 16:53:12 2025 factoring 2187035871734373993568589033271538555952874451921249013963175628701383141828998540784536219112370879289474881123235003122959392234892518183618158621934399862390461 (163 digits) Sun Jun 15 16:53:13 2025 searching for 15-digit factors Sun Jun 15 16:53:13 2025 commencing number field sieve (163-digit input) Sun Jun 15 16:53:13 2025 R0: -31298006299614508691167181373361 Sun Jun 15 16:53:13 2025 R1: 8650631990673062774813 Sun Jun 15 16:53:13 2025 A0: -521555544749194800400499860736354673600 Sun Jun 15 16:53:13 2025 A1: 180476962529044480961305158693904 Sun Jun 15 16:53:13 2025 A2: 155480913030523748196430021 Sun Jun 15 16:53:13 2025 A3: -33971230326090201969 Sun Jun 15 16:53:13 2025 A4: -4884577835606 Sun Jun 15 16:53:13 2025 A5: 147000 Sun Jun 15 16:53:13 2025 skew 5916202.18, size 8.685e-16, alpha -6.877, combined = 1.054e-12 rroots = 5 Sun Jun 15 16:53:13 2025 Sun Jun 15 16:53:13 2025 commencing relation filtering Sun Jun 15 16:53:13 2025 setting target matrix density to 120.0 Sun Jun 15 16:53:13 2025 estimated available RAM is 257736.5 MB Sun Jun 15 16:53:13 2025 commencing duplicate removal, pass 1 Sun Jun 15 16:53:35 2025 error -1 reading relation 15072588 Sun Jun 15 16:57:33 2025 error -1 reading relation 135891491 Sun Jun 15 16:57:39 2025 error -1 reading relation 138786535 Sun Jun 15 16:58:00 2025 error -1 reading relation 148359794 Sun Jun 15 16:58:17 2025 error -1 reading relation 153908412 Sun Jun 15 16:58:22 2025 error -1 reading relation 155947497 Sun Jun 15 16:58:30 2025 error -1 reading relation 159298503 Sun Jun 15 16:59:13 2025 error -1 reading relation 176539227 Sun Jun 15 16:59:47 2025 error -1 reading relation 191981376 Sun Jun 15 17:00:15 2025 error -1 reading relation 204863540 Sun Jun 15 17:00:30 2025 error -1 reading relation 212264871 Sun Jun 15 17:00:43 2025 error -1 reading relation 217866496 Sun Jun 15 17:00:52 2025 error -1 reading relation 221892650 Sun Jun 15 17:01:25 2025 error -1 reading relation 236752379 Sun Jun 15 17:02:08 2025 error -1 reading relation 255657081 Sun Jun 15 17:02:09 2025 skipped 1 relations with b > 2^32 Sun Jun 15 17:02:09 2025 skipped 133 malformed relations Sun Jun 15 17:02:09 2025 found 45684325 hash collisions in 256093632 relations Sun Jun 15 17:02:35 2025 added 122186 free relations Sun Jun 15 17:02:35 2025 commencing duplicate removal, pass 2 Sun Jun 15 17:08:40 2025 found 42509334 duplicates and 213706484 unique relations Sun Jun 15 17:08:40 2025 memory use: 1449.5 MB Sun Jun 15 17:08:41 2025 reading ideals above 720000 Sun Jun 15 17:08:41 2025 commencing singleton removal, initial pass Sun Jun 15 17:28:55 2025 memory use: 6024.0 MB Sun Jun 15 17:28:55 2025 reading all ideals from disk Sun Jun 15 17:29:00 2025 memory use: 9691.2 MB Sun Jun 15 17:29:33 2025 keeping 215416844 ideals with weight <= 200, target excess is 1044028 Sun Jun 15 17:30:11 2025 commencing in-memory singleton removal Sun Jun 15 17:30:16 2025 begin with 213706484 relations and 215416844 unique ideals Sun Jun 15 17:30:35 2025 reduce to 101630678 relations and 87252489 ideals in 17 passes Sun Jun 15 17:30:35 2025 max relations containing the same ideal: 128 Sun Jun 15 17:31:42 2025 removing 12811966 relations and 10811966 ideals in 2000000 cliques Sun Jun 15 17:31:48 2025 commencing in-memory singleton removal Sun Jun 15 17:31:50 2025 begin with 88818712 relations and 87252489 unique ideals Sun Jun 15 17:31:57 2025 reduce to 87530792 relations and 75119495 ideals in 10 passes Sun Jun 15 17:31:57 2025 max relations containing the same ideal: 115 Sun Jun 15 17:32:49 2025 removing 9752101 relations and 7752101 ideals in 2000000 cliques Sun Jun 15 17:32:53 2025 commencing in-memory singleton removal Sun Jun 15 17:32:55 2025 begin with 77778691 relations and 75119495 unique ideals Sun Jun 15 17:33:00 2025 reduce to 76879626 relations and 66447252 ideals in 9 passes Sun Jun 15 17:33:00 2025 max relations containing the same ideal: 104 Sun Jun 15 17:33:40 2025 removing 8846623 relations and 6846623 ideals in 2000000 cliques Sun Jun 15 17:33:44 2025 commencing in-memory singleton removal Sun Jun 15 17:33:46 2025 begin with 68033003 relations and 66447252 unique ideals Sun Jun 15 17:33:51 2025 reduce to 67182319 relations and 58728677 ideals in 9 passes Sun Jun 15 17:33:51 2025 max relations containing the same ideal: 95 Sun Jun 15 17:34:29 2025 removing 8425195 relations and 6425195 ideals in 2000000 cliques Sun Jun 15 17:34:32 2025 commencing in-memory singleton removal Sun Jun 15 17:34:33 2025 begin with 58757124 relations and 58728677 unique ideals Sun Jun 15 17:34:38 2025 reduce to 57875826 relations and 51397838 ideals in 10 passes Sun Jun 15 17:34:38 2025 max relations containing the same ideal: 88 Sun Jun 15 17:35:10 2025 removing 8219665 relations and 6219665 ideals in 2000000 cliques Sun Jun 15 17:35:14 2025 commencing in-memory singleton removal Sun Jun 15 17:35:15 2025 begin with 49656161 relations and 51397838 unique ideals Sun Jun 15 17:35:18 2025 reduce to 48677582 relations and 44168700 ideals in 10 passes Sun Jun 15 17:35:18 2025 max relations containing the same ideal: 79 Sun Jun 15 17:35:47 2025 removing 8148154 relations and 6148154 ideals in 2000000 cliques Sun Jun 15 17:35:50 2025 commencing in-memory singleton removal Sun Jun 15 17:35:51 2025 begin with 40529428 relations and 44168700 unique ideals Sun Jun 15 17:35:54 2025 reduce to 39362503 relations and 36809983 ideals in 10 passes Sun Jun 15 17:35:54 2025 max relations containing the same ideal: 68 Sun Jun 15 17:36:18 2025 removing 6086226 relations and 4744779 ideals in 1341447 cliques Sun Jun 15 17:36:21 2025 commencing in-memory singleton removal Sun Jun 15 17:36:21 2025 begin with 33276277 relations and 36809983 unique ideals Sun Jun 15 17:36:23 2025 reduce to 32476100 relations and 31239973 ideals in 11 passes Sun Jun 15 17:36:23 2025 max relations containing the same ideal: 59 Sun Jun 15 17:36:45 2025 removing 245665 relations and 220611 ideals in 25054 cliques Sun Jun 15 17:36:46 2025 commencing in-memory singleton removal Sun Jun 15 17:36:47 2025 begin with 32230435 relations and 31239973 unique ideals Sun Jun 15 17:36:48 2025 reduce to 32229300 relations and 31018226 ideals in 7 passes Sun Jun 15 17:36:48 2025 max relations containing the same ideal: 59 Sun Jun 15 17:36:53 2025 relations with 0 large ideals: 3758 Sun Jun 15 17:36:53 2025 relations with 1 large ideals: 37914 Sun Jun 15 17:36:53 2025 relations with 2 large ideals: 453580 Sun Jun 15 17:36:53 2025 relations with 3 large ideals: 2281051 Sun Jun 15 17:36:53 2025 relations with 4 large ideals: 6042924 Sun Jun 15 17:36:53 2025 relations with 5 large ideals: 9195136 Sun Jun 15 17:36:53 2025 relations with 6 large ideals: 8308069 Sun Jun 15 17:36:53 2025 relations with 7+ large ideals: 5906868 Sun Jun 15 17:36:53 2025 commencing 2-way merge Sun Jun 15 17:37:19 2025 reduce to 18734550 relation sets and 17523476 unique ideals Sun Jun 15 17:37:19 2025 commencing full merge Sun Jun 15 17:44:18 2025 memory use: 1978.7 MB Sun Jun 15 17:44:20 2025 found 7988441 cycles, need 7947676 Sun Jun 15 17:44:23 2025 weight of 7947676 cycles is about 954288963 (120.07/cycle) Sun Jun 15 17:44:23 2025 distribution of cycle lengths: Sun Jun 15 17:44:23 2025 1 relations: 637489 Sun Jun 15 17:44:23 2025 2 relations: 537709 Sun Jun 15 17:44:23 2025 3 relations: 539030 Sun Jun 15 17:44:23 2025 4 relations: 528305 Sun Jun 15 17:44:23 2025 5 relations: 531879 Sun Jun 15 17:44:23 2025 6 relations: 514342 Sun Jun 15 17:44:23 2025 7 relations: 501206 Sun Jun 15 17:44:23 2025 8 relations: 476651 Sun Jun 15 17:44:23 2025 9 relations: 455843 Sun Jun 15 17:44:23 2025 10+ relations: 3225222 Sun Jun 15 17:44:23 2025 heaviest cycle: 28 relations Sun Jun 15 17:44:26 2025 commencing cycle optimization Sun Jun 15 17:44:48 2025 start with 70967057 relations Sun Jun 15 17:47:57 2025 pruned 2609455 relations Sun Jun 15 17:47:57 2025 memory use: 2014.2 MB Sun Jun 15 17:47:58 2025 distribution of cycle lengths: Sun Jun 15 17:47:58 2025 1 relations: 637489 Sun Jun 15 17:47:58 2025 2 relations: 551180 Sun Jun 15 17:47:58 2025 3 relations: 558822 Sun Jun 15 17:47:58 2025 4 relations: 546439 Sun Jun 15 17:47:58 2025 5 relations: 552204 Sun Jun 15 17:47:58 2025 6 relations: 533454 Sun Jun 15 17:47:58 2025 7 relations: 520820 Sun Jun 15 17:47:58 2025 8 relations: 494185 Sun Jun 15 17:47:58 2025 9 relations: 471375 Sun Jun 15 17:47:58 2025 10+ relations: 3081708 Sun Jun 15 17:47:58 2025 heaviest cycle: 28 relations Sun Jun 15 17:48:16 2025 RelProcTime: 3303 Sun Jun 15 17:48:16 2025 Sun Jun 15 17:48:16 2025 commencing linear algebra Sun Jun 15 17:48:16 2025 using VBITS=256 Sun Jun 15 17:48:16 2025 stopping after matrix build Sun Jun 15 17:48:16 2025 initialized process (0,0) of 1 x 1 grid Sun Jun 15 17:48:17 2025 read 7947676 cycles Sun Jun 15 17:48:35 2025 cycles contain 31264429 unique relations Sun Jun 15 17:52:59 2025 read 31264429 relations Sun Jun 15 17:53:03 2025 using 20 quadratic characters above 4294917295 Sun Jun 15 17:53:08 2025 building initial matrix Sun Jun 15 18:00:53 2025 memory use: 4123.9 MB Sun Jun 15 18:01:01 2025 read 7947676 cycles Sun Jun 15 18:01:02 2025 matrix is 7947499 x 7947676 (3730.3 MB) with weight 1130784103 (142.28/col) Sun Jun 15 18:01:02 2025 sparse part has weight 890460169 (112.04/col) Sun Jun 15 18:03:02 2025 filtering completed in 2 passes Sun Jun 15 18:03:04 2025 matrix is 7946429 x 7946605 (3730.2 MB) with weight 1130728093 (142.29/col) Sun Jun 15 18:03:04 2025 sparse part has weight 890439590 (112.05/col) Sun Jun 15 18:03:51 2025 BLanczosTime: 935 Sun Jun 15 18:03:51 2025 elapsed time 01:10:39 Sun Jun 15 18:26:50 2025 Sun Jun 15 18:26:50 2025 Sun Jun 15 18:26:50 2025 Msieve v. 1.54 (SVN Unversioned directory) Sun Jun 15 18:26:50 2025 random seeds: 27b31479 135e2ef9 Sun Jun 15 18:26:50 2025 MPI process 0 of 1 Sun Jun 15 18:26:50 2025 Using 64 OpenMP threads Sun Jun 15 18:26:50 2025 factoring 2187035871734373993568589033271538555952874451921249013963175628701383141828998540784536219112370879289474881123235003122959392234892518183618158621934399862390461 (163 digits) Sun Jun 15 18:26:51 2025 searching for 15-digit factors Sun Jun 15 18:26:51 2025 commencing number field sieve (163-digit input) Sun Jun 15 18:26:51 2025 R0: -31298006299614508691167181373361 Sun Jun 15 18:26:51 2025 R1: 8650631990673062774813 Sun Jun 15 18:26:51 2025 A0: -521555544749194800400499860736354673600 Sun Jun 15 18:26:51 2025 A1: 180476962529044480961305158693904 Sun Jun 15 18:26:51 2025 A2: 155480913030523748196430021 Sun Jun 15 18:26:51 2025 A3: -33971230326090201969 Sun Jun 15 18:26:51 2025 A4: -4884577835606 Sun Jun 15 18:26:51 2025 A5: 147000 Sun Jun 15 18:26:51 2025 skew 5916202.18, size 8.685e-16, alpha -6.877, combined = 1.054e-12 rroots = 5 Sun Jun 15 18:26:51 2025 Sun Jun 15 18:26:51 2025 commencing linear algebra Sun Jun 15 18:26:51 2025 using VBITS=256 Sun Jun 15 18:26:51 2025 skipping matrix build Sun Jun 15 18:26:51 2025 initialized process (0,0) of 1 x 1 grid Sun Jun 15 18:26:55 2025 matrix starts at (0, 0) Sun Jun 15 18:26:56 2025 matrix is 7946429 x 7946605 (3730.2 MB) with weight 1130728093 (142.29/col) Sun Jun 15 18:26:56 2025 sparse part has weight 890439590 (112.05/col) Sun Jun 15 18:26:56 2025 saving the first 240 matrix rows for later Sun Jun 15 18:26:58 2025 matrix includes 256 packed rows Sun Jun 15 18:27:00 2025 matrix is 7946189 x 7946605 (3380.3 MB) with weight 809442444 (101.86/col) Sun Jun 15 18:27:00 2025 sparse part has weight 758968812 (95.51/col) Sun Jun 15 18:27:00 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Sun Jun 15 18:27:17 2025 commencing Lanczos iteration (64 threads) Sun Jun 15 18:27:17 2025 memory use: 4884.2 MB Sun Jun 15 18:28:26 2025 linear algebra at 0.4%, ETA 4h48m Sun Jun 15 18:30:05 2025 checking every 20000 dimensions, checkpointing every 1680000 dimensions Sun Jun 15 23:54:03 2025 lanczos halted after 31134 iterations (dim = 7946189) Sun Jun 15 23:54:28 2025 recovered 31 nontrivial dependencies Sun Jun 15 23:54:29 2025 BLanczosTime: 19658 Sun Jun 15 23:54:29 2025 Sun Jun 15 23:54:29 2025 commencing square root phase Sun Jun 15 23:54:29 2025 handling dependencies 1 to 64 Sun Jun 15 23:54:29 2025 reading relations for dependency 1 Sun Jun 15 23:54:29 2025 read 3973281 cycles Sun Jun 15 23:54:36 2025 cycles contain 15631708 unique relations Sun Jun 15 23:58:04 2025 read 15631708 relations Sun Jun 15 23:59:01 2025 multiplying 15631708 relations Mon Jun 16 00:00:55 2025 multiply complete, coefficients have about 849.72 million bits Mon Jun 16 00:00:57 2025 initial square root is modulo 42001529 Mon Jun 16 00:07:06 2025 GCD is N, no factor found Mon Jun 16 00:07:06 2025 reading relations for dependency 2 Mon Jun 16 00:07:07 2025 read 3973258 cycles Mon Jun 16 00:07:16 2025 cycles contain 15629164 unique relations Mon Jun 16 00:11:06 2025 read 15629164 relations Mon Jun 16 00:12:09 2025 multiplying 15629164 relations Mon Jun 16 00:14:14 2025 multiply complete, coefficients have about 849.59 million bits Mon Jun 16 00:14:17 2025 initial square root is modulo 41887921 Mon Jun 16 00:20:28 2025 sqrtTime: 1559 Mon Jun 16 00:20:28 2025 p58 factor: 5402289342726803174896771580204968820976386588602895339111 Mon Jun 16 00:20:28 2025 p105 factor: 404835012156247928236949830800888446422576375759942273490238538108544731430345351479029541842888964737851 Mon Jun 16 00:20:28 2025 elapsed time 05:53:38