Thu Jun 4 09:03:38 2026 Thu Jun 4 09:03:38 2026 Thu Jun 4 09:03:38 2026 Msieve v. 1.54 (SVN Unversioned directory) Thu Jun 4 09:03:38 2026 random seeds: fa9f0f30 02553913 Thu Jun 4 09:03:38 2026 MPI process 0 of 1 Thu Jun 4 09:03:38 2026 Using 32 OpenMP threads Thu Jun 4 09:03:38 2026 factoring 46877014890826097862860668616411805543948306685798393080339861526981033397930978098853353818152188863163627195660372216186131061973100540735397781125899821892860573637239 (170 digits) Thu Jun 4 09:03:39 2026 searching for 15-digit factors Thu Jun 4 09:03:40 2026 commencing number field sieve (170-digit input) Thu Jun 4 09:03:40 2026 R0: -980110110540921280132768491162814 Thu Jun 4 09:03:40 2026 R1: 3046749673121269181671471 Thu Jun 4 09:03:40 2026 A0: -385243607625037580051242747628359349304 Thu Jun 4 09:03:40 2026 A1: 5655887832143485911587809449357795 Thu Jun 4 09:03:40 2026 A2: -951049909023387536883198916 Thu Jun 4 09:03:40 2026 A3: -147980737642841075597 Thu Jun 4 09:03:40 2026 A4: 3230145714822 Thu Jun 4 09:03:40 2026 A5: 302400 Thu Jun 4 09:03:40 2026 skew 11627593.70, size 1.937e-16, alpha -7.183, combined = 4.414e-13 rroots = 5 Thu Jun 4 09:03:40 2026 Thu Jun 4 09:03:40 2026 commencing relation filtering Thu Jun 4 09:03:40 2026 setting target matrix density to 130.0 Thu Jun 4 09:03:40 2026 estimated available RAM is 257736.5 MB Thu Jun 4 09:03:40 2026 commencing duplicate removal, pass 1 Thu Jun 4 09:05:09 2026 error -1 reading relation 38779293 Thu Jun 4 09:06:32 2026 error -1 reading relation 76268265 Thu Jun 4 09:07:21 2026 error -1 reading relation 98222822 Thu Jun 4 09:07:43 2026 error -1 reading relation 106907486 Thu Jun 4 09:08:02 2026 error -1 reading relation 114844803 Thu Jun 4 09:08:20 2026 error -1 reading relation 122183911 Thu Jun 4 09:08:59 2026 error -1 reading relation 139372027 Thu Jun 4 09:09:23 2026 error -1 reading relation 148938115 Thu Jun 4 09:10:40 2026 error -1 reading relation 180266019 Thu Jun 4 09:12:15 2026 error -1 reading relation 222065853 Thu Jun 4 09:12:17 2026 error -1 reading relation 223137660 Thu Jun 4 09:12:49 2026 error -1 reading relation 236473862 Thu Jun 4 09:13:08 2026 error -1 reading relation 243770056 Thu Jun 4 09:13:11 2026 error -1 reading relation 245259701 Thu Jun 4 09:13:13 2026 error -1 reading relation 245887910 Thu Jun 4 09:13:26 2026 error -1 reading relation 251009498 Thu Jun 4 09:13:27 2026 error -1 reading relation 251373098 Thu Jun 4 09:13:40 2026 error -1 reading relation 256700899 Thu Jun 4 09:13:41 2026 error -1 reading relation 257225567 Thu Jun 4 09:13:46 2026 error -1 reading relation 259426602 Thu Jun 4 09:13:47 2026 error -1 reading relation 259616547 Thu Jun 4 09:13:47 2026 error -1 reading relation 259823722 Thu Jun 4 09:13:49 2026 error -1 reading relation 260729116 Thu Jun 4 09:14:40 2026 error -1 reading relation 284432651 Thu Jun 4 09:14:48 2026 error -1 reading relation 288747146 Thu Jun 4 09:14:49 2026 error -1 reading relation 288865634 Thu Jun 4 09:15:52 2026 skipped 140 malformed relations Thu Jun 4 09:15:52 2026 found 63302136 hash collisions in 317872016 relations Thu Jun 4 09:16:14 2026 added 122221 free relations Thu Jun 4 09:16:14 2026 commencing duplicate removal, pass 2 Thu Jun 4 09:25:10 2026 found 67120421 duplicates and 250873816 unique relations Thu Jun 4 09:25:10 2026 memory use: 1705.5 MB Thu Jun 4 09:25:11 2026 reading ideals above 720000 Thu Jun 4 09:25:11 2026 commencing singleton removal, initial pass Thu Jun 4 09:49:07 2026 memory use: 6024.0 MB Thu Jun 4 09:49:08 2026 reading all ideals from disk Thu Jun 4 09:49:15 2026 memory use: 11632.4 MB Thu Jun 4 09:49:59 2026 keeping 239714104 ideals with weight <= 200, target excess is 1202672 Thu Jun 4 09:50:56 2026 commencing in-memory singleton removal Thu Jun 4 09:51:00 2026 begin with 250873816 relations and 239714104 unique ideals Thu Jun 4 09:51:20 2026 reduce to 143800925 relations and 120014944 ideals in 15 passes Thu Jun 4 09:51:20 2026 max relations containing the same ideal: 152 Thu Jun 4 09:52:18 2026 removing 12770992 relations and 10770992 ideals in 2000000 cliques Thu Jun 4 09:52:23 2026 commencing in-memory singleton removal Thu Jun 4 09:52:25 2026 begin with 131029933 relations and 120014944 unique ideals Thu Jun 4 09:52:31 2026 reduce to 130125295 relations and 108322519 ideals in 9 passes Thu Jun 4 09:52:31 2026 max relations containing the same ideal: 142 Thu Jun 4 09:53:48 2026 removing 9666219 relations and 7666219 ideals in 2000000 cliques Thu Jun 4 09:53:55 2026 commencing in-memory singleton removal Thu Jun 4 09:53:57 2026 begin with 120459076 relations and 108322519 unique ideals Thu Jun 4 09:54:05 2026 reduce to 119862122 relations and 100049873 ideals in 9 passes Thu Jun 4 09:54:05 2026 max relations containing the same ideal: 132 Thu Jun 4 09:55:24 2026 removing 8722670 relations and 6722670 ideals in 2000000 cliques Thu Jun 4 09:55:30 2026 commencing in-memory singleton removal Thu Jun 4 09:55:32 2026 begin with 111139452 relations and 100049873 unique ideals Thu Jun 4 09:55:39 2026 reduce to 110610988 relations and 92790283 ideals in 8 passes Thu Jun 4 09:55:39 2026 max relations containing the same ideal: 122 Thu Jun 4 09:56:48 2026 removing 8245233 relations and 6245233 ideals in 2000000 cliques Thu Jun 4 09:56:53 2026 commencing in-memory singleton removal Thu Jun 4 09:56:55 2026 begin with 102365755 relations and 92790283 unique ideals Thu Jun 4 09:57:02 2026 reduce to 101859087 relations and 86029728 ideals in 8 passes Thu Jun 4 09:57:02 2026 max relations containing the same ideal: 118 Thu Jun 4 09:58:07 2026 removing 7950411 relations and 5950411 ideals in 2000000 cliques Thu Jun 4 09:58:11 2026 commencing in-memory singleton removal Thu Jun 4 09:58:13 2026 begin with 93908676 relations and 86029728 unique ideals Thu Jun 4 09:58:19 2026 reduce to 93401366 relations and 79562847 ideals in 9 passes Thu Jun 4 09:58:19 2026 max relations containing the same ideal: 110 Thu Jun 4 09:59:19 2026 removing 7773699 relations and 5773699 ideals in 2000000 cliques Thu Jun 4 09:59:24 2026 commencing in-memory singleton removal Thu Jun 4 09:59:26 2026 begin with 85627667 relations and 79562847 unique ideals Thu Jun 4 09:59:31 2026 reduce to 85102136 relations and 73253641 ideals in 8 passes Thu Jun 4 09:59:31 2026 max relations containing the same ideal: 104 Thu Jun 4 10:00:26 2026 removing 7672490 relations and 5672490 ideals in 2000000 cliques Thu Jun 4 10:00:31 2026 commencing in-memory singleton removal Thu Jun 4 10:00:32 2026 begin with 77429646 relations and 73253641 unique ideals Thu Jun 4 10:00:36 2026 reduce to 76870513 relations and 67010471 ideals in 8 passes Thu Jun 4 10:00:36 2026 max relations containing the same ideal: 98 Thu Jun 4 10:01:17 2026 removing 7619261 relations and 5619261 ideals in 2000000 cliques Thu Jun 4 10:01:20 2026 commencing in-memory singleton removal Thu Jun 4 10:01:22 2026 begin with 69251252 relations and 67010471 unique ideals Thu Jun 4 10:01:26 2026 reduce to 68641007 relations and 60766965 ideals in 9 passes Thu Jun 4 10:01:26 2026 max relations containing the same ideal: 91 Thu Jun 4 10:01:53 2026 removing 7628039 relations and 5628039 ideals in 2000000 cliques Thu Jun 4 10:01:56 2026 commencing in-memory singleton removal Thu Jun 4 10:01:57 2026 begin with 61012968 relations and 60766965 unique ideals Thu Jun 4 10:02:00 2026 reduce to 60325764 relations and 54434379 ideals in 9 passes Thu Jun 4 10:02:00 2026 max relations containing the same ideal: 82 Thu Jun 4 10:02:36 2026 removing 7686504 relations and 5686504 ideals in 2000000 cliques Thu Jun 4 10:02:40 2026 commencing in-memory singleton removal Thu Jun 4 10:02:41 2026 begin with 52639260 relations and 54434379 unique ideals Thu Jun 4 10:02:45 2026 reduce to 51833645 relations and 47919068 ideals in 8 passes Thu Jun 4 10:02:45 2026 max relations containing the same ideal: 74 Thu Jun 4 10:03:20 2026 removing 7810395 relations and 5810395 ideals in 2000000 cliques Thu Jun 4 10:03:24 2026 commencing in-memory singleton removal Thu Jun 4 10:03:25 2026 begin with 44023250 relations and 47919068 unique ideals Thu Jun 4 10:03:28 2026 reduce to 43033124 relations and 41085557 ideals in 9 passes Thu Jun 4 10:03:28 2026 max relations containing the same ideal: 66 Thu Jun 4 10:03:57 2026 removing 2977098 relations and 2424631 ideals in 552467 cliques Thu Jun 4 10:03:59 2026 commencing in-memory singleton removal Thu Jun 4 10:04:00 2026 begin with 40056026 relations and 41085557 unique ideals Thu Jun 4 10:04:02 2026 reduce to 39900114 relations and 38503216 ideals in 8 passes Thu Jun 4 10:04:02 2026 max relations containing the same ideal: 62 Thu Jun 4 10:04:35 2026 relations with 0 large ideals: 4348 Thu Jun 4 10:04:35 2026 relations with 1 large ideals: 41046 Thu Jun 4 10:04:35 2026 relations with 2 large ideals: 507170 Thu Jun 4 10:04:35 2026 relations with 3 large ideals: 2584919 Thu Jun 4 10:04:35 2026 relations with 4 large ideals: 6957805 Thu Jun 4 10:04:35 2026 relations with 5 large ideals: 10920359 Thu Jun 4 10:04:35 2026 relations with 6 large ideals: 10408946 Thu Jun 4 10:04:35 2026 relations with 7+ large ideals: 8475521 Thu Jun 4 10:04:35 2026 commencing 2-way merge Thu Jun 4 10:05:12 2026 reduce to 24057489 relation sets and 22660591 unique ideals Thu Jun 4 10:05:12 2026 commencing full merge Thu Jun 4 10:18:19 2026 memory use: 2685.3 MB Thu Jun 4 10:18:23 2026 found 10149235 cycles, need 10138791 Thu Jun 4 10:18:27 2026 weight of 10138791 cycles is about 1318462117 (130.04/cycle) Thu Jun 4 10:18:27 2026 distribution of cycle lengths: Thu Jun 4 10:18:27 2026 1 relations: 625522 Thu Jun 4 10:18:27 2026 2 relations: 638182 Thu Jun 4 10:18:27 2026 3 relations: 649811 Thu Jun 4 10:18:27 2026 4 relations: 640433 Thu Jun 4 10:18:27 2026 5 relations: 638478 Thu Jun 4 10:18:27 2026 6 relations: 628770 Thu Jun 4 10:18:27 2026 7 relations: 618218 Thu Jun 4 10:18:27 2026 8 relations: 600121 Thu Jun 4 10:18:27 2026 9 relations: 572273 Thu Jun 4 10:18:27 2026 10+ relations: 4526983 Thu Jun 4 10:18:27 2026 heaviest cycle: 28 relations Thu Jun 4 10:18:30 2026 commencing cycle optimization Thu Jun 4 10:18:53 2026 start with 96941603 relations Thu Jun 4 10:24:10 2026 pruned 4122120 relations Thu Jun 4 10:24:10 2026 memory use: 2606.1 MB Thu Jun 4 10:24:10 2026 distribution of cycle lengths: Thu Jun 4 10:24:10 2026 1 relations: 625522 Thu Jun 4 10:24:10 2026 2 relations: 654120 Thu Jun 4 10:24:10 2026 3 relations: 675501 Thu Jun 4 10:24:10 2026 4 relations: 663945 Thu Jun 4 10:24:10 2026 5 relations: 666509 Thu Jun 4 10:24:10 2026 6 relations: 655568 Thu Jun 4 10:24:10 2026 7 relations: 646236 Thu Jun 4 10:24:10 2026 8 relations: 625727 Thu Jun 4 10:24:10 2026 9 relations: 598661 Thu Jun 4 10:24:10 2026 10+ relations: 4327002 Thu Jun 4 10:24:10 2026 heaviest cycle: 28 relations Thu Jun 4 10:24:40 2026 RelProcTime: 4860 Thu Jun 4 10:24:41 2026 Thu Jun 4 10:24:41 2026 commencing linear algebra Thu Jun 4 10:24:41 2026 using VBITS=256 Thu Jun 4 10:24:41 2026 stopping after matrix build Thu Jun 4 10:24:41 2026 initialized process (0,0) of 1 x 1 grid Thu Jun 4 10:24:43 2026 read 10138791 cycles Thu Jun 4 10:25:17 2026 cycles contain 38948853 unique relations Thu Jun 4 10:30:52 2026 read 38948853 relations Thu Jun 4 10:30:57 2026 using 20 quadratic characters above 4294917295 Thu Jun 4 10:31:03 2026 building initial matrix Thu Jun 4 10:42:50 2026 memory use: 5198.7 MB Thu Jun 4 10:43:02 2026 read 10138791 cycles Thu Jun 4 10:43:05 2026 matrix is 10138614 x 10138791 (5129.1 MB) with weight 1559581845 (153.82/col) Thu Jun 4 10:43:05 2026 sparse part has weight 1222905193 (120.62/col) Thu Jun 4 10:46:34 2026 filtering completed in 2 passes Thu Jun 4 10:46:38 2026 matrix is 10138379 x 10138555 (5129.1 MB) with weight 1559570593 (153.83/col) Thu Jun 4 10:46:38 2026 sparse part has weight 1222902447 (120.62/col) Thu Jun 4 10:47:46 2026 BLanczosTime: 1385 Thu Jun 4 10:47:46 2026 elapsed time 01:44:08 Thu Jun 4 13:25:04 2026 Thu Jun 4 13:25:04 2026 Thu Jun 4 13:25:04 2026 Msieve v. 1.54 (SVN Unversioned directory) Thu Jun 4 13:25:04 2026 random seeds: d985e23b ed8a2139 Thu Jun 4 13:25:04 2026 MPI process 0 of 1 Thu Jun 4 13:25:04 2026 Using 64 OpenMP threads Thu Jun 4 13:25:04 2026 factoring 46877014890826097862860668616411805543948306685798393080339861526981033397930978098853353818152188863163627195660372216186131061973100540735397781125899821892860573637239 (170 digits) Thu Jun 4 13:25:05 2026 searching for 15-digit factors Thu Jun 4 13:25:05 2026 commencing number field sieve (170-digit input) Thu Jun 4 13:25:05 2026 R0: -980110110540921280132768491162814 Thu Jun 4 13:25:05 2026 R1: 3046749673121269181671471 Thu Jun 4 13:25:05 2026 A0: -385243607625037580051242747628359349304 Thu Jun 4 13:25:05 2026 A1: 5655887832143485911587809449357795 Thu Jun 4 13:25:05 2026 A2: -951049909023387536883198916 Thu Jun 4 13:25:05 2026 A3: -147980737642841075597 Thu Jun 4 13:25:05 2026 A4: 3230145714822 Thu Jun 4 13:25:05 2026 A5: 302400 Thu Jun 4 13:25:05 2026 skew 11627593.70, size 1.937e-16, alpha -7.183, combined = 4.414e-13 rroots = 5 Thu Jun 4 13:25:05 2026 Thu Jun 4 13:25:05 2026 commencing linear algebra Thu Jun 4 13:25:05 2026 using VBITS=256 Thu Jun 4 13:25:05 2026 skipping matrix build Thu Jun 4 13:25:05 2026 initialized process (0,0) of 1 x 1 grid Thu Jun 4 13:25:13 2026 matrix starts at (0, 0) Thu Jun 4 13:25:14 2026 matrix is 10138379 x 10138555 (5129.1 MB) with weight 1559570593 (153.83/col) Thu Jun 4 13:25:14 2026 sparse part has weight 1222902447 (120.62/col) Thu Jun 4 13:25:14 2026 saving the first 240 matrix rows for later Thu Jun 4 13:25:17 2026 matrix includes 256 packed rows Thu Jun 4 13:25:20 2026 matrix is 10138139 x 10138555 (4637.1 MB) with weight 1122399768 (110.71/col) Thu Jun 4 13:25:20 2026 sparse part has weight 1053374648 (103.90/col) Thu Jun 4 13:25:20 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Thu Jun 4 13:25:43 2026 commencing Lanczos iteration (64 threads) Thu Jun 4 13:25:43 2026 memory use: 6540.1 MB Thu Jun 4 13:27:08 2026 linear algebra at 0.3%, ETA 7h42m Thu Jun 4 13:29:12 2026 checking every 20000 dimensions, checkpointing every 1340000 dimensions Thu Jun 4 20:54:13 2026 lanczos halted after 39722 iterations (dim = 10138139) Thu Jun 4 20:55:03 2026 recovered 28 nontrivial dependencies Thu Jun 4 20:55:05 2026 BLanczosTime: 27000 Thu Jun 4 20:55:05 2026 Thu Jun 4 20:55:05 2026 commencing square root phase Thu Jun 4 20:55:05 2026 handling dependencies 1 to 64 Thu Jun 4 20:55:05 2026 reading relations for dependency 1 Thu Jun 4 20:55:08 2026 read 5068069 cycles Thu Jun 4 20:55:31 2026 cycles contain 19470612 unique relations Thu Jun 4 21:02:48 2026 read 19470612 relations Thu Jun 4 21:05:52 2026 multiplying 19470612 relations Thu Jun 4 21:09:36 2026 multiply complete, coefficients have about 1067.40 million bits Thu Jun 4 21:09:41 2026 initial square root is modulo 61409 Thu Jun 4 21:23:12 2026 sqrtTime: 1687 Thu Jun 4 21:23:12 2026 p84 factor: 236988646662671843418313058116026877807265456921824400880439921868938795288508992399 Thu Jun 4 21:23:12 2026 p87 factor: 197802787394919164636220285641297579459792532248716512151449727168559734817901557739161 Thu Jun 4 21:23:12 2026 elapsed time 07:58:08