Sun Aug 24 01:35:06 2025 Sun Aug 24 01:35:06 2025 Sun Aug 24 01:35:06 2025 Msieve v. 1.54 (SVN Unversioned directory) Sun Aug 24 01:35:06 2025 random seeds: 122cd90c a176046b Sun Aug 24 01:35:06 2025 MPI process 0 of 1 Sun Aug 24 01:35:06 2025 Using 32 OpenMP threads Sun Aug 24 01:35:06 2025 factoring 3134726931246946524057432828468333972435461300635310114004459278170766914476858718729875392690730353767615322546919025324128097241412542057414828615376947429699 (160 digits) Sun Aug 24 01:35:07 2025 searching for 15-digit factors Sun Aug 24 01:35:07 2025 commencing number field sieve (160-digit input) Sun Aug 24 01:35:07 2025 R0: 7630587173930404159707410612211 Sun Aug 24 01:35:07 2025 R1: 7058290264081422322894169 Sun Aug 24 01:35:07 2025 A0: 314783590066132823769784362305168400 Sun Aug 24 01:35:07 2025 A1: 2124638032524918797969617354252 Sun Aug 24 01:35:07 2025 A2: -3388463409139550421768498 Sun Aug 24 01:35:07 2025 A3: -3944606741934572233 Sun Aug 24 01:35:07 2025 A4: 1858761039072 Sun Aug 24 01:35:07 2025 A5: 706860 Sun Aug 24 01:35:07 2025 skew 991596.16, size 2.251e-15, alpha -6.330, combined = 1.878e-12 rroots = 5 Sun Aug 24 01:35:07 2025 Sun Aug 24 01:35:07 2025 commencing relation filtering Sun Aug 24 01:35:07 2025 setting target matrix density to 120.0 Sun Aug 24 01:35:07 2025 estimated available RAM is 257736.5 MB Sun Aug 24 01:35:07 2025 commencing duplicate removal, pass 1 Sun Aug 24 01:35:31 2025 error -1 reading relation 11017741 Sun Aug 24 01:35:45 2025 error -1 reading relation 18116291 Sun Aug 24 01:36:36 2025 error -15 reading relation 42284613 Sun Aug 24 01:37:18 2025 error -1 reading relation 61673978 Sun Aug 24 01:37:38 2025 error -1 reading relation 70916990 Sun Aug 24 01:37:42 2025 error -1 reading relation 72796100 Sun Aug 24 01:38:02 2025 error -1 reading relation 82590676 Sun Aug 24 01:38:16 2025 error -1 reading relation 88943919 Sun Aug 24 01:38:23 2025 error -1 reading relation 92131021 Sun Aug 24 01:39:10 2025 skipped 47 malformed relations Sun Aug 24 01:39:10 2025 found 18346081 hash collisions in 114057612 relations Sun Aug 24 01:39:40 2025 added 121873 free relations Sun Aug 24 01:39:40 2025 commencing duplicate removal, pass 2 Sun Aug 24 01:42:05 2025 found 16380756 duplicates and 97798729 unique relations Sun Aug 24 01:42:05 2025 memory use: 660.8 MB Sun Aug 24 01:42:05 2025 reading ideals above 720000 Sun Aug 24 01:42:05 2025 commencing singleton removal, initial pass Sun Aug 24 01:48:58 2025 memory use: 2756.0 MB Sun Aug 24 01:48:58 2025 reading all ideals from disk Sun Aug 24 01:49:00 2025 memory use: 4390.1 MB Sun Aug 24 01:49:13 2025 keeping 89180903 ideals with weight <= 200, target excess is 510962 Sun Aug 24 01:49:29 2025 commencing in-memory singleton removal Sun Aug 24 01:49:31 2025 begin with 97798729 relations and 89180903 unique ideals Sun Aug 24 01:49:40 2025 reduce to 62066395 relations and 49670375 ideals in 14 passes Sun Aug 24 01:49:40 2025 max relations containing the same ideal: 158 Sun Aug 24 01:50:18 2025 removing 8865394 relations and 6865394 ideals in 2000000 cliques Sun Aug 24 01:50:23 2025 commencing in-memory singleton removal Sun Aug 24 01:50:24 2025 begin with 53201001 relations and 49670375 unique ideals Sun Aug 24 01:50:27 2025 reduce to 52226886 relations and 41793171 ideals in 8 passes Sun Aug 24 01:50:27 2025 max relations containing the same ideal: 139 Sun Aug 24 01:50:55 2025 removing 6980035 relations and 4980035 ideals in 2000000 cliques Sun Aug 24 01:50:58 2025 commencing in-memory singleton removal Sun Aug 24 01:50:59 2025 begin with 45246851 relations and 41793171 unique ideals Sun Aug 24 01:51:02 2025 reduce to 44543695 relations and 36083784 ideals in 8 passes Sun Aug 24 01:51:02 2025 max relations containing the same ideal: 128 Sun Aug 24 01:51:27 2025 removing 6471310 relations and 4471310 ideals in 2000000 cliques Sun Aug 24 01:51:30 2025 commencing in-memory singleton removal Sun Aug 24 01:51:30 2025 begin with 38072385 relations and 36083784 unique ideals Sun Aug 24 01:51:32 2025 reduce to 37405419 relations and 30918031 ideals in 8 passes Sun Aug 24 01:51:32 2025 max relations containing the same ideal: 112 Sun Aug 24 01:51:54 2025 removing 6235300 relations and 4235300 ideals in 2000000 cliques Sun Aug 24 01:51:57 2025 commencing in-memory singleton removal Sun Aug 24 01:51:57 2025 begin with 31170119 relations and 30918031 unique ideals Sun Aug 24 01:51:59 2025 reduce to 30473943 relations and 25953740 ideals in 8 passes Sun Aug 24 01:51:59 2025 max relations containing the same ideal: 97 Sun Aug 24 01:52:16 2025 removing 6096409 relations and 4096409 ideals in 2000000 cliques Sun Aug 24 01:52:18 2025 commencing in-memory singleton removal Sun Aug 24 01:52:18 2025 begin with 24377534 relations and 25953740 unique ideals Sun Aug 24 01:52:20 2025 reduce to 23593428 relations and 21027725 ideals in 8 passes Sun Aug 24 01:52:20 2025 max relations containing the same ideal: 85 Sun Aug 24 01:52:31 2025 removing 5937357 relations and 3964370 ideals in 1972987 cliques Sun Aug 24 01:52:33 2025 commencing in-memory singleton removal Sun Aug 24 01:52:33 2025 begin with 17656071 relations and 21027725 unique ideals Sun Aug 24 01:52:34 2025 reduce to 16715647 relations and 16053781 ideals in 9 passes Sun Aug 24 01:52:34 2025 max relations containing the same ideal: 68 Sun Aug 24 01:52:42 2025 removing 413135 relations and 343985 ideals in 69150 cliques Sun Aug 24 01:52:43 2025 commencing in-memory singleton removal Sun Aug 24 01:52:43 2025 begin with 16302512 relations and 16053781 unique ideals Sun Aug 24 01:52:44 2025 reduce to 16295900 relations and 15703158 ideals in 6 passes Sun Aug 24 01:52:44 2025 max relations containing the same ideal: 67 Sun Aug 24 01:52:46 2025 relations with 0 large ideals: 1644 Sun Aug 24 01:52:46 2025 relations with 1 large ideals: 9637 Sun Aug 24 01:52:46 2025 relations with 2 large ideals: 129506 Sun Aug 24 01:52:46 2025 relations with 3 large ideals: 760246 Sun Aug 24 01:52:46 2025 relations with 4 large ideals: 2309563 Sun Aug 24 01:52:46 2025 relations with 5 large ideals: 4084195 Sun Aug 24 01:52:46 2025 relations with 6 large ideals: 4446067 Sun Aug 24 01:52:46 2025 relations with 7+ large ideals: 4555042 Sun Aug 24 01:52:46 2025 commencing 2-way merge Sun Aug 24 01:52:57 2025 reduce to 10519257 relation sets and 9926515 unique ideals Sun Aug 24 01:52:57 2025 commencing full merge Sun Aug 24 01:57:28 2025 memory use: 1301.9 MB Sun Aug 24 01:57:30 2025 found 4773866 cycles, need 4730715 Sun Aug 24 01:57:31 2025 weight of 4730715 cycles is about 567888726 (120.04/cycle) Sun Aug 24 01:57:31 2025 distribution of cycle lengths: Sun Aug 24 01:57:31 2025 1 relations: 141212 Sun Aug 24 01:57:31 2025 2 relations: 271981 Sun Aug 24 01:57:31 2025 3 relations: 332302 Sun Aug 24 01:57:31 2025 4 relations: 351981 Sun Aug 24 01:57:31 2025 5 relations: 366857 Sun Aug 24 01:57:31 2025 6 relations: 366031 Sun Aug 24 01:57:31 2025 7 relations: 357448 Sun Aug 24 01:57:31 2025 8 relations: 340427 Sun Aug 24 01:57:31 2025 9 relations: 315275 Sun Aug 24 01:57:31 2025 10+ relations: 1887201 Sun Aug 24 01:57:31 2025 heaviest cycle: 28 relations Sun Aug 24 01:57:33 2025 commencing cycle optimization Sun Aug 24 01:57:48 2025 start with 42137072 relations Sun Aug 24 01:59:35 2025 pruned 2032108 relations Sun Aug 24 01:59:35 2025 memory use: 1107.3 MB Sun Aug 24 01:59:35 2025 distribution of cycle lengths: Sun Aug 24 01:59:35 2025 1 relations: 141212 Sun Aug 24 01:59:35 2025 2 relations: 280113 Sun Aug 24 01:59:35 2025 3 relations: 348702 Sun Aug 24 01:59:35 2025 4 relations: 368635 Sun Aug 24 01:59:35 2025 5 relations: 387570 Sun Aug 24 01:59:35 2025 6 relations: 385682 Sun Aug 24 01:59:35 2025 7 relations: 377563 Sun Aug 24 01:59:35 2025 8 relations: 357230 Sun Aug 24 01:59:35 2025 9 relations: 329458 Sun Aug 24 01:59:35 2025 10+ relations: 1754550 Sun Aug 24 01:59:35 2025 heaviest cycle: 28 relations Sun Aug 24 01:59:44 2025 RelProcTime: 1477 Sun Aug 24 01:59:44 2025 Sun Aug 24 01:59:44 2025 commencing linear algebra Sun Aug 24 01:59:44 2025 using VBITS=256 Sun Aug 24 01:59:44 2025 stopping after matrix build Sun Aug 24 01:59:44 2025 initialized process (0,0) of 1 x 1 grid Sun Aug 24 01:59:44 2025 read 4730715 cycles Sun Aug 24 01:59:53 2025 cycles contain 15976242 unique relations Sun Aug 24 02:01:45 2025 read 15976242 relations Sun Aug 24 02:01:47 2025 using 20 quadratic characters above 4294917295 Sun Aug 24 02:01:50 2025 building initial matrix Sun Aug 24 02:05:40 2025 memory use: 2152.1 MB Sun Aug 24 02:05:44 2025 read 4730715 cycles Sun Aug 24 02:05:45 2025 matrix is 4730536 x 4730715 (2211.6 MB) with weight 683626554 (144.51/col) Sun Aug 24 02:05:45 2025 sparse part has weight 527719361 (111.55/col) Sun Aug 24 02:06:49 2025 filtering completed in 2 passes Sun Aug 24 02:06:50 2025 matrix is 4730368 x 4730546 (2211.6 MB) with weight 683618003 (144.51/col) Sun Aug 24 02:06:50 2025 sparse part has weight 527716662 (111.56/col) Sun Aug 24 02:07:16 2025 BLanczosTime: 452 Sun Aug 24 02:07:16 2025 elapsed time 00:32:10 Sun Aug 24 02:09:27 2025 Sun Aug 24 02:09:27 2025 Sun Aug 24 02:09:27 2025 Msieve v. 1.54 (SVN Unversioned directory) Sun Aug 24 02:09:27 2025 random seeds: 694387a8 8a4a3c3f Sun Aug 24 02:09:27 2025 MPI process 0 of 1 Sun Aug 24 02:09:27 2025 Using 64 OpenMP threads Sun Aug 24 02:09:27 2025 factoring 3134726931246946524057432828468333972435461300635310114004459278170766914476858718729875392690730353767615322546919025324128097241412542057414828615376947429699 (160 digits) Sun Aug 24 02:09:28 2025 searching for 15-digit factors Sun Aug 24 02:09:28 2025 commencing number field sieve (160-digit input) Sun Aug 24 02:09:28 2025 R0: 7630587173930404159707410612211 Sun Aug 24 02:09:28 2025 R1: 7058290264081422322894169 Sun Aug 24 02:09:28 2025 A0: 314783590066132823769784362305168400 Sun Aug 24 02:09:28 2025 A1: 2124638032524918797969617354252 Sun Aug 24 02:09:28 2025 A2: -3388463409139550421768498 Sun Aug 24 02:09:28 2025 A3: -3944606741934572233 Sun Aug 24 02:09:28 2025 A4: 1858761039072 Sun Aug 24 02:09:28 2025 A5: 706860 Sun Aug 24 02:09:28 2025 skew 991596.16, size 2.251e-15, alpha -6.330, combined = 1.878e-12 rroots = 5 Sun Aug 24 02:09:28 2025 Sun Aug 24 02:09:28 2025 commencing linear algebra Sun Aug 24 02:09:28 2025 using VBITS=256 Sun Aug 24 02:09:28 2025 skipping matrix build Sun Aug 24 02:09:28 2025 initialized process (0,0) of 1 x 1 grid Sun Aug 24 02:09:30 2025 matrix starts at (0, 0) Sun Aug 24 02:09:31 2025 matrix is 4730368 x 4730546 (2211.6 MB) with weight 683618003 (144.51/col) Sun Aug 24 02:09:31 2025 sparse part has weight 527716662 (111.56/col) Sun Aug 24 02:09:31 2025 saving the first 240 matrix rows for later Sun Aug 24 02:09:32 2025 matrix includes 256 packed rows Sun Aug 24 02:09:33 2025 matrix is 4730128 x 4730546 (2007.9 MB) with weight 480137490 (101.50/col) Sun Aug 24 02:09:33 2025 sparse part has weight 450660626 (95.27/col) Sun Aug 24 02:09:33 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Sun Aug 24 02:09:43 2025 commencing Lanczos iteration (64 threads) Sun Aug 24 02:09:43 2025 memory use: 2900.8 MB Sun Aug 24 02:10:25 2025 linear algebra at 0.6%, ETA 1h44m Sun Aug 24 02:11:25 2025 checking every 40000 dimensions, checkpointing every 2760000 dimensions Sun Aug 24 03:53:19 2025 lanczos halted after 18534 iterations (dim = 4730128) Sun Aug 24 03:53:35 2025 recovered 31 nontrivial dependencies Sun Aug 24 03:53:36 2025 BLanczosTime: 6248 Sun Aug 24 03:53:36 2025 Sun Aug 24 03:53:36 2025 commencing square root phase Sun Aug 24 03:53:36 2025 handling dependencies 1 to 64 Sun Aug 24 03:53:36 2025 reading relations for dependency 1 Sun Aug 24 03:53:36 2025 read 2365642 cycles Sun Aug 24 03:53:39 2025 cycles contain 7987452 unique relations Sun Aug 24 03:55:21 2025 read 7987452 relations Sun Aug 24 03:55:56 2025 multiplying 7987452 relations Sun Aug 24 03:57:11 2025 multiply complete, coefficients have about 438.03 million bits Sun Aug 24 03:57:12 2025 initial square root is modulo 72397187 Sun Aug 24 04:00:50 2025 sqrtTime: 434 Sun Aug 24 04:00:50 2025 p67 factor: 3087850417030573924936283564085698678797293788560607505230395971029 Sun Aug 24 04:00:50 2025 p94 factor: 1015180953700941031620650391471358272347322444051652181024630064069696477522257769559572418231 Sun Aug 24 04:00:50 2025 elapsed time 01:51:23