Sat Nov 6 21:36:20 2021 Sat Nov 6 21:36:20 2021 Sat Nov 6 21:36:20 2021 Msieve v. 1.54 (SVN unknown) Sat Nov 6 21:36:20 2021 random seeds: a779f8af f5061b90 Sat Nov 6 21:36:20 2021 factoring 259966072076853354664664167337519022363425283225941580781518641135872639410976314432360000506511885540767833748536086609639285585902680829053691918794799669573771 (162 digits) Sat Nov 6 21:36:21 2021 no P-1/P+1/ECM available, skipping Sat Nov 6 21:36:21 2021 commencing number field sieve (162-digit input) Sat Nov 6 21:36:21 2021 R0: 3520546506199974490500155725747441549 Sat Nov 6 21:36:21 2021 R1: -1 Sat Nov 6 21:36:21 2021 A0: 1 Sat Nov 6 21:36:21 2021 A1: 1 Sat Nov 6 21:36:21 2021 A2: 1 Sat Nov 6 21:36:21 2021 A3: 1 Sat Nov 6 21:36:21 2021 A4: 1 Sat Nov 6 21:36:21 2021 A5: 1 Sat Nov 6 21:36:21 2021 A6: 1 Sat Nov 6 21:36:21 2021 skew 1.00, size 7.031e-11, alpha 2.428, combined = 2.608e-12 rroots = 0 Sat Nov 6 21:36:21 2021 Sat Nov 6 21:36:21 2021 commencing relation filtering Sat Nov 6 21:36:21 2021 setting target matrix density to 100.0 Sat Nov 6 21:36:21 2021 estimated available RAM is 515600.8 MB Sat Nov 6 21:36:21 2021 commencing duplicate removal, pass 1 Sat Nov 6 21:40:10 2021 skipped 32 relations with b > 2^32 Sat Nov 6 21:40:10 2021 skipped 13711 relations with composite factors Sat Nov 6 21:40:10 2021 found 1989146 hash collisions in 47646159 relations Sat Nov 6 21:40:10 2021 commencing duplicate removal, pass 2 Sat Nov 6 21:40:17 2021 found 0 duplicates and 47646159 unique relations Sat Nov 6 21:40:17 2021 memory use: 130.6 MB Sat Nov 6 21:40:17 2021 reading ideals above 720000 Sat Nov 6 21:40:17 2021 commencing singleton removal, initial pass Sat Nov 6 21:44:10 2021 memory use: 1378.0 MB Sat Nov 6 21:44:10 2021 reading all ideals from disk Sat Nov 6 21:44:10 2021 memory use: 1731.5 MB Sat Nov 6 21:44:11 2021 keeping 46848173 ideals with weight <= 200, target excess is 234876 Sat Nov 6 21:44:13 2021 commencing in-memory singleton removal Sat Nov 6 21:44:15 2021 begin with 47646159 relations and 46848173 unique ideals Sat Nov 6 21:44:30 2021 reduce to 29423834 relations and 26607641 ideals in 15 passes Sat Nov 6 21:44:30 2021 max relations containing the same ideal: 152 Sat Nov 6 21:44:36 2021 removing 2748737 relations and 2348737 ideals in 400000 cliques Sat Nov 6 21:44:37 2021 commencing in-memory singleton removal Sat Nov 6 21:44:38 2021 begin with 26675097 relations and 26607641 unique ideals Sat Nov 6 21:44:47 2021 reduce to 26386158 relations and 23964176 ideals in 11 passes Sat Nov 6 21:44:47 2021 max relations containing the same ideal: 139 Sat Nov 6 21:44:53 2021 removing 2083451 relations and 1683451 ideals in 400000 cliques Sat Nov 6 21:44:53 2021 commencing in-memory singleton removal Sat Nov 6 21:44:54 2021 begin with 24302707 relations and 23964176 unique ideals Sat Nov 6 21:45:00 2021 reduce to 24130259 relations and 22105295 ideals in 8 passes Sat Nov 6 21:45:00 2021 max relations containing the same ideal: 134 Sat Nov 6 21:45:05 2021 removing 1894907 relations and 1494907 ideals in 400000 cliques Sat Nov 6 21:45:06 2021 commencing in-memory singleton removal Sat Nov 6 21:45:06 2021 begin with 22235352 relations and 22105295 unique ideals Sat Nov 6 21:45:12 2021 reduce to 22086848 relations and 20459346 ideals in 8 passes Sat Nov 6 21:45:12 2021 max relations containing the same ideal: 126 Sat Nov 6 21:45:17 2021 removing 1805622 relations and 1405622 ideals in 400000 cliques Sat Nov 6 21:45:17 2021 commencing in-memory singleton removal Sat Nov 6 21:45:18 2021 begin with 20281226 relations and 20459346 unique ideals Sat Nov 6 21:45:22 2021 reduce to 20139204 relations and 18909153 ideals in 7 passes Sat Nov 6 21:45:22 2021 max relations containing the same ideal: 118 Sat Nov 6 21:45:27 2021 removing 1757194 relations and 1357194 ideals in 400000 cliques Sat Nov 6 21:45:28 2021 commencing in-memory singleton removal Sat Nov 6 21:45:28 2021 begin with 18382010 relations and 18909153 unique ideals Sat Nov 6 21:45:32 2021 reduce to 18238488 relations and 17405713 ideals in 7 passes Sat Nov 6 21:45:32 2021 max relations containing the same ideal: 111 Sat Nov 6 21:45:36 2021 removing 1732552 relations and 1332552 ideals in 400000 cliques Sat Nov 6 21:45:37 2021 commencing in-memory singleton removal Sat Nov 6 21:45:37 2021 begin with 16505936 relations and 17405713 unique ideals Sat Nov 6 21:45:40 2021 reduce to 16352847 relations and 15916830 ideals in 7 passes Sat Nov 6 21:45:40 2021 max relations containing the same ideal: 101 Sat Nov 6 21:45:44 2021 removing 849379 relations and 685819 ideals in 163560 cliques Sat Nov 6 21:45:45 2021 commencing in-memory singleton removal Sat Nov 6 21:45:45 2021 begin with 15503468 relations and 15916830 unique ideals Sat Nov 6 21:45:48 2021 reduce to 15465546 relations and 15192733 ideals in 6 passes Sat Nov 6 21:45:48 2021 max relations containing the same ideal: 99 Sat Nov 6 21:45:53 2021 relations with 0 large ideals: 17903 Sat Nov 6 21:45:53 2021 relations with 1 large ideals: 2562 Sat Nov 6 21:45:53 2021 relations with 2 large ideals: 24116 Sat Nov 6 21:45:53 2021 relations with 3 large ideals: 191058 Sat Nov 6 21:45:53 2021 relations with 4 large ideals: 850327 Sat Nov 6 21:45:53 2021 relations with 5 large ideals: 2277229 Sat Nov 6 21:45:53 2021 relations with 6 large ideals: 3803795 Sat Nov 6 21:45:53 2021 relations with 7+ large ideals: 8298556 Sat Nov 6 21:45:53 2021 commencing 2-way merge Sat Nov 6 21:45:59 2021 reduce to 10049850 relation sets and 9777037 unique ideals Sat Nov 6 21:45:59 2021 commencing full merge Sat Nov 6 21:48:29 2021 memory use: 1344.9 MB Sat Nov 6 21:48:30 2021 found 4603571 cycles, need 4601237 Sat Nov 6 21:48:31 2021 weight of 4601237 cycles is about 460499024 (100.08/cycle) Sat Nov 6 21:48:31 2021 distribution of cycle lengths: Sat Nov 6 21:48:31 2021 1 relations: 419821 Sat Nov 6 21:48:31 2021 2 relations: 400975 Sat Nov 6 21:48:31 2021 3 relations: 384154 Sat Nov 6 21:48:31 2021 4 relations: 356952 Sat Nov 6 21:48:31 2021 5 relations: 336308 Sat Nov 6 21:48:31 2021 6 relations: 314236 Sat Nov 6 21:48:31 2021 7 relations: 290890 Sat Nov 6 21:48:31 2021 8 relations: 268967 Sat Nov 6 21:48:31 2021 9 relations: 247199 Sat Nov 6 21:48:31 2021 10+ relations: 1581735 Sat Nov 6 21:48:31 2021 heaviest cycle: 28 relations Sat Nov 6 21:48:31 2021 commencing cycle optimization Sat Nov 6 21:48:36 2021 start with 37037818 relations Sat Nov 6 21:49:26 2021 pruned 1479618 relations Sat Nov 6 21:49:26 2021 memory use: 1015.1 MB Sat Nov 6 21:49:26 2021 distribution of cycle lengths: Sat Nov 6 21:49:26 2021 1 relations: 419821 Sat Nov 6 21:49:26 2021 2 relations: 408784 Sat Nov 6 21:49:26 2021 3 relations: 397705 Sat Nov 6 21:49:26 2021 4 relations: 368997 Sat Nov 6 21:49:26 2021 5 relations: 350352 Sat Nov 6 21:49:26 2021 6 relations: 325524 Sat Nov 6 21:49:26 2021 7 relations: 301864 Sat Nov 6 21:49:26 2021 8 relations: 278120 Sat Nov 6 21:49:26 2021 9 relations: 254774 Sat Nov 6 21:49:26 2021 10+ relations: 1495296 Sat Nov 6 21:49:26 2021 heaviest cycle: 28 relations Sat Nov 6 21:49:31 2021 RelProcTime: 790 Sat Nov 6 21:49:31 2021 Sat Nov 6 21:49:31 2021 commencing linear algebra Sat Nov 6 21:49:31 2021 using VBITS=384 Sat Nov 6 21:49:31 2021 read 4601237 cycles Sat Nov 6 21:49:36 2021 cycles contain 15287789 unique relations Sat Nov 6 21:50:26 2021 read 15287789 relations Sat Nov 6 21:50:41 2021 using 20 quadratic characters above 4294917295 Sat Nov 6 21:51:23 2021 building initial matrix Sat Nov 6 21:52:55 2021 memory use: 1821.0 MB Sat Nov 6 21:52:56 2021 read 4601237 cycles Sat Nov 6 21:52:57 2021 matrix is 4601060 x 4601237 (1846.4 MB) with weight 526581995 (114.44/col) Sat Nov 6 21:52:57 2021 sparse part has weight 433408824 (94.19/col) Sat Nov 6 21:53:21 2021 filtering completed in 2 passes Sat Nov 6 21:53:22 2021 matrix is 4600965 x 4601117 (1846.4 MB) with weight 526578812 (114.45/col) Sat Nov 6 21:53:22 2021 sparse part has weight 433407999 (94.20/col) Sat Nov 6 21:53:28 2021 matrix starts at (0, 0) Sat Nov 6 21:53:28 2021 matrix is 4600965 x 4601117 (1846.4 MB) with weight 526578812 (114.45/col) Sat Nov 6 21:53:28 2021 sparse part has weight 433407999 (94.20/col) Sat Nov 6 21:53:28 2021 saving the first 368 matrix rows for later Sat Nov 6 21:53:29 2021 matrix includes 384 packed rows Sat Nov 6 21:53:31 2021 matrix is 4600597 x 4601117 (1722.0 MB) with weight 380173647 (82.63/col) Sat Nov 6 21:53:31 2021 sparse part has weight 359376527 (78.11/col) Sat Nov 6 21:53:31 2021 using GPU 1 (Tesla V100-PCIE-32GB) Sat Nov 6 21:53:31 2021 selected card has CUDA arch 7.0 Sat Nov 6 21:53:44 2021 commencing Lanczos iteration Sat Nov 6 21:53:45 2021 memory use: 4461.9 MB Sat Nov 6 21:53:46 2021 linear algebra at 0.0%, ETA 0h33m Sat Nov 6 21:53:47 2021 checkpointing every 7590000 dimensions Sat Nov 6 22:36:04 2021 lanczos halted after 12006 iterations (dim = 4600589) Sat Nov 6 22:36:29 2021 recovered 33 nontrivial dependencies Sat Nov 6 22:36:29 2021 BLanczosTime: 2818 Sat Nov 6 22:36:29 2021 Sat Nov 6 22:36:29 2021 commencing square root phase Sat Nov 6 22:36:29 2021 handling dependencies 1 to 64 Sat Nov 6 22:36:29 2021 reading relations for dependency 1 Sat Nov 6 22:36:29 2021 read 2300565 cycles Sat Nov 6 22:36:32 2021 cycles contain 7641422 unique relations Sat Nov 6 22:36:58 2021 read 7641422 relations Sat Nov 6 22:37:16 2021 multiplying 7641422 relations Sat Nov 6 22:39:58 2021 multiply complete, coefficients have about 182.72 million bits Sat Nov 6 22:39:59 2021 initial square root is modulo 3608477 Sat Nov 6 22:43:06 2021 sqrtTime: 397 Sat Nov 6 22:43:06 2021 p64 factor: 2592429662239495149735970934201529445285820287021605942336108841 Sat Nov 6 22:43:06 2021 p99 factor: 100278929786769673737832293195346503349066744768752162168732311137366388345552115993458355034371731 Sat Nov 6 22:43:06 2021 elapsed time 01:06:46