Wed Nov 20 13:43:59 2024 Wed Nov 20 13:43:59 2024 Wed Nov 20 13:43:59 2024 Msieve v. 1.54 (SVN Unversioned directory) Wed Nov 20 13:43:59 2024 random seeds: 8f4d9e0e e64968f1 Wed Nov 20 13:43:59 2024 MPI process 0 of 1 Wed Nov 20 13:43:59 2024 Using 32 OpenMP threads Wed Nov 20 13:43:59 2024 factoring 247964430498079418904242354541615177323710173636391803116519780209966840172404127629958712921112232968303185733723619320396433482598227000766049240959971978531 (159 digits) Wed Nov 20 13:43:59 2024 searching for 15-digit factors Wed Nov 20 13:44:00 2024 commencing number field sieve (159-digit input) Wed Nov 20 13:44:00 2024 R0: -5439305400506459055163220011426 Wed Nov 20 13:44:00 2024 R1: 195969710168055127 Wed Nov 20 13:44:00 2024 A0: 43455971313617705251881192367811615584575 Wed Nov 20 13:44:00 2024 A1: -18936562882123592407264248271464705 Wed Nov 20 13:44:00 2024 A2: -809939222055850907227672637 Wed Nov 20 13:44:00 2024 A3: -28958341563996668143 Wed Nov 20 13:44:00 2024 A4: 3970318356862 Wed Nov 20 13:44:00 2024 A5: 52080 Wed Nov 20 13:44:00 2024 skew 25229645.03, size 1.862e-15, alpha -9.052, combined = 1.613e-12 rroots = 3 Wed Nov 20 13:44:00 2024 Wed Nov 20 13:44:00 2024 commencing relation filtering Wed Nov 20 13:44:00 2024 setting target matrix density to 130.0 Wed Nov 20 13:44:00 2024 estimated available RAM is 257736.5 MB Wed Nov 20 13:44:00 2024 commencing duplicate removal, pass 1 Wed Nov 20 13:49:09 2024 skipped 22 malformed relations Wed Nov 20 13:49:09 2024 found 23777447 hash collisions in 126876363 relations Wed Nov 20 13:49:43 2024 added 121084 free relations Wed Nov 20 13:49:43 2024 commencing duplicate removal, pass 2 Wed Nov 20 13:52:47 2024 found 22257525 duplicates and 104739922 unique relations Wed Nov 20 13:52:47 2024 memory use: 724.8 MB Wed Nov 20 13:52:47 2024 reading ideals above 720000 Wed Nov 20 13:52:47 2024 commencing singleton removal, initial pass Wed Nov 20 14:00:45 2024 memory use: 2756.0 MB Wed Nov 20 14:00:45 2024 reading all ideals from disk Wed Nov 20 14:00:48 2024 memory use: 4674.2 MB Wed Nov 20 14:01:01 2024 keeping 90783630 ideals with weight <= 200, target excess is 543758 Wed Nov 20 14:01:17 2024 commencing in-memory singleton removal Wed Nov 20 14:01:19 2024 begin with 104739922 relations and 90783630 unique ideals Wed Nov 20 14:01:27 2024 reduce to 71411137 relations and 54325651 ideals in 12 passes Wed Nov 20 14:01:27 2024 max relations containing the same ideal: 164 Wed Nov 20 14:01:59 2024 removing 8321003 relations and 6321003 ideals in 2000000 cliques Wed Nov 20 14:02:02 2024 commencing in-memory singleton removal Wed Nov 20 14:02:04 2024 begin with 63090134 relations and 54325651 unique ideals Wed Nov 20 14:02:09 2024 reduce to 62339617 relations and 47228640 ideals in 9 passes Wed Nov 20 14:02:09 2024 max relations containing the same ideal: 150 Wed Nov 20 14:02:36 2024 removing 6578754 relations and 4578754 ideals in 2000000 cliques Wed Nov 20 14:02:40 2024 commencing in-memory singleton removal Wed Nov 20 14:02:41 2024 begin with 55760863 relations and 47228640 unique ideals Wed Nov 20 14:02:44 2024 reduce to 55236840 relations and 42109507 ideals in 7 passes Wed Nov 20 14:02:44 2024 max relations containing the same ideal: 137 Wed Nov 20 14:03:03 2024 removing 6114250 relations and 4114250 ideals in 2000000 cliques Wed Nov 20 14:03:05 2024 commencing in-memory singleton removal Wed Nov 20 14:03:06 2024 begin with 49122590 relations and 42109507 unique ideals Wed Nov 20 14:03:08 2024 reduce to 48648470 relations and 37505361 ideals in 7 passes Wed Nov 20 14:03:08 2024 max relations containing the same ideal: 127 Wed Nov 20 14:03:24 2024 removing 5883969 relations and 3883969 ideals in 2000000 cliques Wed Nov 20 14:03:26 2024 commencing in-memory singleton removal Wed Nov 20 14:03:27 2024 begin with 42764501 relations and 37505361 unique ideals Wed Nov 20 14:03:29 2024 reduce to 42295643 relations and 33135658 ideals in 7 passes Wed Nov 20 14:03:29 2024 max relations containing the same ideal: 117 Wed Nov 20 14:03:43 2024 removing 5748274 relations and 3748274 ideals in 2000000 cliques Wed Nov 20 14:03:45 2024 commencing in-memory singleton removal Wed Nov 20 14:03:45 2024 begin with 36547369 relations and 33135658 unique ideals Wed Nov 20 14:03:47 2024 reduce to 36058587 relations and 28878840 ideals in 7 passes Wed Nov 20 14:03:47 2024 max relations containing the same ideal: 104 Wed Nov 20 14:03:59 2024 removing 5665678 relations and 3665678 ideals in 2000000 cliques Wed Nov 20 14:04:01 2024 commencing in-memory singleton removal Wed Nov 20 14:04:01 2024 begin with 30392909 relations and 28878840 unique ideals Wed Nov 20 14:04:02 2024 reduce to 29858461 relations and 24653239 ideals in 7 passes Wed Nov 20 14:04:02 2024 max relations containing the same ideal: 92 Wed Nov 20 14:04:12 2024 removing 5615509 relations and 3615509 ideals in 2000000 cliques Wed Nov 20 14:04:14 2024 commencing in-memory singleton removal Wed Nov 20 14:04:14 2024 begin with 24242952 relations and 24653239 unique ideals Wed Nov 20 14:04:15 2024 reduce to 23629051 relations and 20388950 ideals in 8 passes Wed Nov 20 14:04:15 2024 max relations containing the same ideal: 83 Wed Nov 20 14:04:24 2024 removing 5584537 relations and 3584537 ideals in 2000000 cliques Wed Nov 20 14:04:25 2024 commencing in-memory singleton removal Wed Nov 20 14:04:25 2024 begin with 18044514 relations and 20388950 unique ideals Wed Nov 20 14:04:26 2024 reduce to 17291292 relations and 15997061 ideals in 8 passes Wed Nov 20 14:04:26 2024 max relations containing the same ideal: 71 Wed Nov 20 14:04:32 2024 removing 2265001 relations and 1601530 ideals in 663471 cliques Wed Nov 20 14:04:33 2024 commencing in-memory singleton removal Wed Nov 20 14:04:33 2024 begin with 15026291 relations and 15997061 unique ideals Wed Nov 20 14:04:34 2024 reduce to 14807865 relations and 14169295 ideals in 7 passes Wed Nov 20 14:04:34 2024 max relations containing the same ideal: 64 Wed Nov 20 14:04:41 2024 relations with 0 large ideals: 1684 Wed Nov 20 14:04:41 2024 relations with 1 large ideals: 14064 Wed Nov 20 14:04:41 2024 relations with 2 large ideals: 177026 Wed Nov 20 14:04:41 2024 relations with 3 large ideals: 931695 Wed Nov 20 14:04:41 2024 relations with 4 large ideals: 2533754 Wed Nov 20 14:04:41 2024 relations with 5 large ideals: 3986296 Wed Nov 20 14:04:41 2024 relations with 6 large ideals: 3848967 Wed Nov 20 14:04:41 2024 relations with 7+ large ideals: 3314379 Wed Nov 20 14:04:41 2024 commencing 2-way merge Wed Nov 20 14:04:48 2024 reduce to 9790042 relation sets and 9151472 unique ideals Wed Nov 20 14:04:48 2024 commencing full merge Wed Nov 20 14:08:05 2024 memory use: 1178.9 MB Wed Nov 20 14:08:06 2024 found 4341502 cycles, need 4295672 Wed Nov 20 14:08:07 2024 weight of 4295672 cycles is about 559051459 (130.14/cycle) Wed Nov 20 14:08:07 2024 distribution of cycle lengths: Wed Nov 20 14:08:07 2024 1 relations: 81704 Wed Nov 20 14:08:07 2024 2 relations: 200557 Wed Nov 20 14:08:07 2024 3 relations: 261501 Wed Nov 20 14:08:07 2024 4 relations: 289446 Wed Nov 20 14:08:07 2024 5 relations: 312038 Wed Nov 20 14:08:07 2024 6 relations: 318385 Wed Nov 20 14:08:07 2024 7 relations: 321478 Wed Nov 20 14:08:07 2024 8 relations: 311318 Wed Nov 20 14:08:07 2024 9 relations: 298424 Wed Nov 20 14:08:07 2024 10+ relations: 1900821 Wed Nov 20 14:08:07 2024 heaviest cycle: 28 relations Wed Nov 20 14:08:08 2024 commencing cycle optimization Wed Nov 20 14:08:16 2024 start with 40687491 relations Wed Nov 20 14:09:37 2024 pruned 2187083 relations Wed Nov 20 14:09:37 2024 memory use: 1028.9 MB Wed Nov 20 14:09:38 2024 distribution of cycle lengths: Wed Nov 20 14:09:38 2024 1 relations: 81704 Wed Nov 20 14:09:38 2024 2 relations: 206862 Wed Nov 20 14:09:38 2024 3 relations: 274526 Wed Nov 20 14:09:38 2024 4 relations: 304948 Wed Nov 20 14:09:38 2024 5 relations: 331361 Wed Nov 20 14:09:38 2024 6 relations: 338688 Wed Nov 20 14:09:38 2024 7 relations: 343864 Wed Nov 20 14:09:38 2024 8 relations: 330785 Wed Nov 20 14:09:38 2024 9 relations: 316422 Wed Nov 20 14:09:38 2024 10+ relations: 1766512 Wed Nov 20 14:09:38 2024 heaviest cycle: 28 relations Wed Nov 20 14:09:43 2024 RelProcTime: 1543 Wed Nov 20 14:09:43 2024 elapsed time 00:25:44 Wed Nov 20 14:12:44 2024 Wed Nov 20 14:12:44 2024 Wed Nov 20 14:12:44 2024 Msieve v. 1.54 (SVN Unversioned directory) Wed Nov 20 14:12:44 2024 random seeds: 01f8fd85 d999f773 Wed Nov 20 14:12:44 2024 MPI process 0 of 1 Wed Nov 20 14:12:44 2024 Using 32 OpenMP threads Wed Nov 20 14:12:44 2024 factoring 247964430498079418904242354541615177323710173636391803116519780209966840172404127629958712921112232968303185733723619320396433482598227000766049240959971978531 (159 digits) Wed Nov 20 14:12:45 2024 searching for 15-digit factors Wed Nov 20 14:12:45 2024 commencing number field sieve (159-digit input) Wed Nov 20 14:12:45 2024 R0: -5439305400506459055163220011426 Wed Nov 20 14:12:45 2024 R1: 195969710168055127 Wed Nov 20 14:12:45 2024 A0: 43455971313617705251881192367811615584575 Wed Nov 20 14:12:45 2024 A1: -18936562882123592407264248271464705 Wed Nov 20 14:12:45 2024 A2: -809939222055850907227672637 Wed Nov 20 14:12:45 2024 A3: -28958341563996668143 Wed Nov 20 14:12:45 2024 A4: 3970318356862 Wed Nov 20 14:12:45 2024 A5: 52080 Wed Nov 20 14:12:45 2024 skew 25229645.03, size 1.862e-15, alpha -9.052, combined = 1.613e-12 rroots = 3 Wed Nov 20 14:12:45 2024 Wed Nov 20 14:12:45 2024 commencing linear algebra Wed Nov 20 14:12:45 2024 using VBITS=256 Wed Nov 20 14:12:45 2024 stopping after matrix build Wed Nov 20 14:12:45 2024 initialized process (0,0) of 1 x 1 grid Wed Nov 20 14:12:46 2024 read 4295672 cycles Wed Nov 20 14:12:54 2024 cycles contain 14458347 unique relations Wed Nov 20 14:14:58 2024 read 14458347 relations Wed Nov 20 14:15:00 2024 using 20 quadratic characters above 4294917295 Wed Nov 20 14:15:03 2024 building initial matrix Wed Nov 20 14:18:33 2024 memory use: 2001.2 MB Wed Nov 20 14:18:36 2024 read 4295672 cycles Wed Nov 20 14:18:37 2024 matrix is 4295494 x 4295672 (2154.4 MB) with weight 661894987 (154.08/col) Wed Nov 20 14:18:37 2024 sparse part has weight 513204451 (119.47/col) Wed Nov 20 14:19:25 2024 filtering completed in 2 passes Wed Nov 20 14:19:26 2024 matrix is 4295381 x 4295557 (2154.3 MB) with weight 661888097 (154.09/col) Wed Nov 20 14:19:26 2024 sparse part has weight 513201552 (119.47/col) Wed Nov 20 14:19:49 2024 BLanczosTime: 424 Wed Nov 20 14:19:49 2024 elapsed time 00:07:05 Wed Nov 20 17:04:56 2024 Wed Nov 20 17:04:56 2024 Wed Nov 20 17:04:56 2024 Msieve v. 1.54 (SVN Unversioned directory) Wed Nov 20 17:04:56 2024 random seeds: 7467fffb 2a7fdeaa Wed Nov 20 17:04:56 2024 MPI process 0 of 1 Wed Nov 20 17:04:56 2024 Using 64 OpenMP threads Wed Nov 20 17:04:56 2024 factoring 247964430498079418904242354541615177323710173636391803116519780209966840172404127629958712921112232968303185733723619320396433482598227000766049240959971978531 (159 digits) Wed Nov 20 17:04:56 2024 searching for 15-digit factors Wed Nov 20 17:04:57 2024 commencing number field sieve (159-digit input) Wed Nov 20 17:04:57 2024 R0: -5439305400506459055163220011426 Wed Nov 20 17:04:57 2024 R1: 195969710168055127 Wed Nov 20 17:04:57 2024 A0: 43455971313617705251881192367811615584575 Wed Nov 20 17:04:57 2024 A1: -18936562882123592407264248271464705 Wed Nov 20 17:04:57 2024 A2: -809939222055850907227672637 Wed Nov 20 17:04:57 2024 A3: -28958341563996668143 Wed Nov 20 17:04:57 2024 A4: 3970318356862 Wed Nov 20 17:04:57 2024 A5: 52080 Wed Nov 20 17:04:57 2024 skew 25229645.03, size 1.862e-15, alpha -9.052, combined = 1.613e-12 rroots = 3 Wed Nov 20 17:04:57 2024 Wed Nov 20 17:04:57 2024 commencing linear algebra Wed Nov 20 17:04:57 2024 using VBITS=256 Wed Nov 20 17:04:57 2024 skipping matrix build Wed Nov 20 17:04:57 2024 initialized process (0,0) of 1 x 1 grid Wed Nov 20 17:04:59 2024 matrix starts at (0, 0) Wed Nov 20 17:05:00 2024 matrix is 4295381 x 4295557 (2154.3 MB) with weight 661888097 (154.09/col) Wed Nov 20 17:05:00 2024 sparse part has weight 513201552 (119.47/col) Wed Nov 20 17:05:00 2024 saving the first 240 matrix rows for later Wed Nov 20 17:05:00 2024 matrix includes 256 packed rows Wed Nov 20 17:05:02 2024 matrix is 4295141 x 4295557 (1919.9 MB) with weight 466840741 (108.68/col) Wed Nov 20 17:05:02 2024 sparse part has weight 434560807 (101.17/col) Wed Nov 20 17:05:02 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Wed Nov 20 17:05:12 2024 commencing Lanczos iteration (64 threads) Wed Nov 20 17:05:12 2024 memory use: 2713.1 MB Wed Nov 20 17:05:53 2024 linear algebra at 0.7%, ETA 1h32m Wed Nov 20 17:06:53 2024 checking every 40000 dimensions, checkpointing every 2800000 dimensions Wed Nov 20 18:35:20 2024 lanczos halted after 16830 iterations (dim = 4295141) Wed Nov 20 18:35:33 2024 recovered 31 nontrivial dependencies Wed Nov 20 18:35:34 2024 BLanczosTime: 5437 Wed Nov 20 18:35:34 2024 Wed Nov 20 18:35:34 2024 commencing square root phase Wed Nov 20 18:35:34 2024 handling dependencies 1 to 64 Wed Nov 20 18:35:34 2024 reading relations for dependency 1 Wed Nov 20 18:35:34 2024 read 2147716 cycles Wed Nov 20 18:35:37 2024 cycles contain 7228076 unique relations Wed Nov 20 18:37:14 2024 read 7228076 relations Wed Nov 20 18:37:39 2024 multiplying 7228076 relations Wed Nov 20 18:38:19 2024 multiply complete, coefficients have about 383.69 million bits Wed Nov 20 18:38:20 2024 initial square root is modulo 7666973 Wed Nov 20 18:40:16 2024 GCD is 1, no factor found Wed Nov 20 18:40:16 2024 reading relations for dependency 2 Wed Nov 20 18:40:16 2024 read 2148698 cycles Wed Nov 20 18:40:19 2024 cycles contain 7228660 unique relations Wed Nov 20 18:41:56 2024 read 7228660 relations Wed Nov 20 18:42:21 2024 multiplying 7228660 relations Wed Nov 20 18:43:01 2024 multiply complete, coefficients have about 383.72 million bits Wed Nov 20 18:43:02 2024 initial square root is modulo 7676243 Wed Nov 20 18:45:23 2024 sqrtTime: 589 Wed Nov 20 18:45:23 2024 p63 factor: 200307529237566616203346867051798387519839803848947889253269321 Wed Nov 20 18:45:23 2024 p97 factor: 1237918671564218981333390323714523781519470965263003499050064321676441360332411502230042827296011 Wed Nov 20 18:45:23 2024 elapsed time 01:40:27