Sun Dec 12 22:40:13 2021 Sun Dec 12 22:40:13 2021 Sun Dec 12 22:40:13 2021 Msieve v. 1.54 (SVN unknown) Sun Dec 12 22:40:13 2021 random seeds: 77147b4e 3c83d085 Sun Dec 12 22:40:13 2021 factoring 37129675248376809605321046024571641813646522360390517986370172129739681595143356052779412026016194583813068790512244494234379592187520521330187499926215354561812867413518053254811 (179 digits) Sun Dec 12 22:40:14 2021 no P-1/P+1/ECM available, skipping Sun Dec 12 22:40:14 2021 commencing number field sieve (179-digit input) Sun Dec 12 22:40:14 2021 R0: 60652586293839362001301821489880353757437967333519394071 Sun Dec 12 22:40:14 2021 R1: -1 Sun Dec 12 22:40:14 2021 A0: 1 Sun Dec 12 22:40:14 2021 A1: 1 Sun Dec 12 22:40:14 2021 A2: 1 Sun Dec 12 22:40:14 2021 A3: 1 Sun Dec 12 22:40:14 2021 A4: 1 Sun Dec 12 22:40:14 2021 skew 1.00, size 9.951e-23, alpha 1.694, combined = 1.494e-13 rroots = 0 Sun Dec 12 22:40:14 2021 Sun Dec 12 22:40:14 2021 commencing relation filtering Sun Dec 12 22:40:14 2021 setting target matrix density to 100.0 Sun Dec 12 22:40:14 2021 estimated available RAM is 515600.8 MB Sun Dec 12 22:40:14 2021 commencing duplicate removal, pass 1 Sun Dec 12 22:41:45 2021 error -9 reading relation 19609179 Sun Dec 12 22:41:54 2021 error -9 reading relation 21438857 Sun Dec 12 22:42:40 2021 error -9 reading relation 31232649 Sun Dec 12 22:42:40 2021 error -15 reading relation 31258211 Sun Dec 12 22:43:12 2021 error -9 reading relation 38199014 Sun Dec 12 22:44:05 2021 error -9 reading relation 49482482 Sun Dec 12 22:44:36 2021 error -9 reading relation 56041666 Sun Dec 12 22:44:43 2021 error -9 reading relation 57499736 Sun Dec 12 22:44:45 2021 error -9 reading relation 57937811 Sun Dec 12 22:46:07 2021 error -9 reading relation 75471187 Sun Dec 12 22:46:09 2021 error -9 reading relation 75838293 Sun Dec 12 22:46:23 2021 error -9 reading relation 78842145 Sun Dec 12 22:46:24 2021 error -9 reading relation 79125731 Sun Dec 12 22:46:25 2021 error -9 reading relation 79375283 Sun Dec 12 22:46:34 2021 error -15 reading relation 81275910 Sun Dec 12 22:46:35 2021 error -9 reading relation 81400107 Sun Dec 12 22:46:36 2021 error -9 reading relation 81688107 Sun Dec 12 22:46:53 2021 error -9 reading relation 85309813 Sun Dec 12 22:47:32 2021 error -9 reading relation 93633855 Sun Dec 12 22:47:52 2021 error -9 reading relation 98022556 Sun Dec 12 22:48:24 2021 error -9 reading relation 104793443 Sun Dec 12 22:48:53 2021 error -9 reading relation 110971080 Sun Dec 12 22:48:53 2021 error -9 reading relation 110978318 Sun Dec 12 22:49:08 2021 error -9 reading relation 114058017 Sun Dec 12 22:49:08 2021 error -9 reading relation 114068546 Sun Dec 12 22:49:12 2021 error -9 reading relation 115006073 Sun Dec 12 22:49:15 2021 error -15 reading relation 115670390 Sun Dec 12 22:49:23 2021 error -9 reading relation 117314630 Sun Dec 12 22:49:29 2021 error -9 reading relation 118663286 Sun Dec 12 22:49:44 2021 error -9 reading relation 121858425 Sun Dec 12 22:49:51 2021 error -9 reading relation 123291977 Sun Dec 12 22:50:49 2021 error -9 reading relation 135745100 Sun Dec 12 22:50:49 2021 error -15 reading relation 135768252 Sun Dec 12 22:50:54 2021 error -9 reading relation 136758483 Sun Dec 12 22:50:55 2021 error -9 reading relation 136956797 Sun Dec 12 22:51:30 2021 error -15 reading relation 144530051 Sun Dec 12 22:51:46 2021 error -9 reading relation 147734395 Sun Dec 12 22:51:48 2021 error -9 reading relation 148304342 Sun Dec 12 22:52:34 2021 error -9 reading relation 157985000 Sun Dec 12 22:53:04 2021 error -9 reading relation 164355722 Sun Dec 12 22:53:49 2021 error -9 reading relation 173967065 Sun Dec 12 22:53:49 2021 error -9 reading relation 174054655 Sun Dec 12 22:53:51 2021 error -15 reading relation 174550390 Sun Dec 12 22:54:11 2021 error -9 reading relation 178797896 Sun Dec 12 22:54:11 2021 error -15 reading relation 178801019 Sun Dec 12 22:54:11 2021 error -15 reading relation 178802690 Sun Dec 12 22:54:30 2021 skipped 1738 relations with b > 2^32 Sun Dec 12 22:54:30 2021 skipped 28 relations with composite factors Sun Dec 12 22:54:30 2021 found 7352775 hash collisions in 182737125 relations Sun Dec 12 22:54:35 2021 added 3657741 free relations Sun Dec 12 22:54:35 2021 commencing duplicate removal, pass 2 Sun Dec 12 22:55:07 2021 found 0 duplicates and 186394866 unique relations Sun Dec 12 22:55:07 2021 memory use: 522.4 MB Sun Dec 12 22:55:07 2021 reading ideals above 720000 Sun Dec 12 22:55:07 2021 commencing singleton removal, initial pass Sun Dec 12 23:09:42 2021 memory use: 5512.0 MB Sun Dec 12 23:09:42 2021 reading all ideals from disk Sun Dec 12 23:09:43 2021 memory use: 7407.1 MB Sun Dec 12 23:09:49 2021 keeping 166147993 ideals with weight <= 200, target excess is 963269 Sun Dec 12 23:09:59 2021 commencing in-memory singleton removal Sun Dec 12 23:10:04 2021 begin with 186394866 relations and 166147993 unique ideals Sun Dec 12 23:11:04 2021 reduce to 122999573 relations and 96838623 ideals in 14 passes Sun Dec 12 23:11:04 2021 max relations containing the same ideal: 164 Sun Dec 12 23:11:30 2021 removing 9941426 relations and 7941426 ideals in 2000000 cliques Sun Dec 12 23:11:33 2021 commencing in-memory singleton removal Sun Dec 12 23:11:36 2021 begin with 113058147 relations and 96838623 unique ideals Sun Dec 12 23:12:09 2021 reduce to 112432316 relations and 88258126 ideals in 9 passes Sun Dec 12 23:12:09 2021 max relations containing the same ideal: 151 Sun Dec 12 23:12:33 2021 removing 7662816 relations and 5662816 ideals in 2000000 cliques Sun Dec 12 23:12:36 2021 commencing in-memory singleton removal Sun Dec 12 23:12:38 2021 begin with 104769500 relations and 88258126 unique ideals Sun Dec 12 23:13:02 2021 reduce to 104342611 relations and 82160577 ideals in 7 passes Sun Dec 12 23:13:02 2021 max relations containing the same ideal: 148 Sun Dec 12 23:13:24 2021 removing 7008211 relations and 5008211 ideals in 2000000 cliques Sun Dec 12 23:13:27 2021 commencing in-memory singleton removal Sun Dec 12 23:13:29 2021 begin with 97334400 relations and 82160577 unique ideals Sun Dec 12 23:13:51 2021 reduce to 96954297 relations and 76765077 ideals in 7 passes Sun Dec 12 23:13:51 2021 max relations containing the same ideal: 140 Sun Dec 12 23:14:12 2021 removing 6681572 relations and 4681572 ideals in 2000000 cliques Sun Dec 12 23:14:15 2021 commencing in-memory singleton removal Sun Dec 12 23:14:17 2021 begin with 90272725 relations and 76765077 unique ideals Sun Dec 12 23:14:34 2021 reduce to 89907116 relations and 71710931 ideals in 6 passes Sun Dec 12 23:14:34 2021 max relations containing the same ideal: 137 Sun Dec 12 23:14:54 2021 removing 6490628 relations and 4490628 ideals in 2000000 cliques Sun Dec 12 23:14:56 2021 commencing in-memory singleton removal Sun Dec 12 23:14:58 2021 begin with 83416488 relations and 71710931 unique ideals Sun Dec 12 23:15:17 2021 reduce to 83052747 relations and 66848977 ideals in 7 passes Sun Dec 12 23:15:17 2021 max relations containing the same ideal: 134 Sun Dec 12 23:15:35 2021 removing 6370750 relations and 4370750 ideals in 2000000 cliques Sun Dec 12 23:15:37 2021 commencing in-memory singleton removal Sun Dec 12 23:15:39 2021 begin with 76681997 relations and 66848977 unique ideals Sun Dec 12 23:15:57 2021 reduce to 76306591 relations and 62094455 ideals in 7 passes Sun Dec 12 23:15:57 2021 max relations containing the same ideal: 123 Sun Dec 12 23:16:14 2021 removing 6302479 relations and 4302479 ideals in 2000000 cliques Sun Dec 12 23:16:16 2021 commencing in-memory singleton removal Sun Dec 12 23:16:18 2021 begin with 70004112 relations and 62094455 unique ideals Sun Dec 12 23:16:31 2021 reduce to 69607167 relations and 57385726 ideals in 6 passes Sun Dec 12 23:16:31 2021 max relations containing the same ideal: 113 Sun Dec 12 23:16:47 2021 removing 6277569 relations and 4277569 ideals in 2000000 cliques Sun Dec 12 23:16:48 2021 commencing in-memory singleton removal Sun Dec 12 23:16:50 2021 begin with 63329598 relations and 57385726 unique ideals Sun Dec 12 23:17:04 2021 reduce to 62900925 relations and 52668400 ideals in 7 passes Sun Dec 12 23:17:04 2021 max relations containing the same ideal: 104 Sun Dec 12 23:17:18 2021 removing 6287859 relations and 4287859 ideals in 2000000 cliques Sun Dec 12 23:17:20 2021 commencing in-memory singleton removal Sun Dec 12 23:17:22 2021 begin with 56613066 relations and 52668400 unique ideals Sun Dec 12 23:17:34 2021 reduce to 56135237 relations and 47889193 ideals in 7 passes Sun Dec 12 23:17:34 2021 max relations containing the same ideal: 96 Sun Dec 12 23:17:47 2021 removing 6333315 relations and 4333315 ideals in 2000000 cliques Sun Dec 12 23:17:49 2021 commencing in-memory singleton removal Sun Dec 12 23:17:50 2021 begin with 49801922 relations and 47889193 unique ideals Sun Dec 12 23:18:03 2021 reduce to 49254469 relations and 42991438 ideals in 8 passes Sun Dec 12 23:18:03 2021 max relations containing the same ideal: 89 Sun Dec 12 23:18:14 2021 removing 6420369 relations and 4420369 ideals in 2000000 cliques Sun Dec 12 23:18:16 2021 commencing in-memory singleton removal Sun Dec 12 23:18:17 2021 begin with 42834100 relations and 42991438 unique ideals Sun Dec 12 23:18:30 2021 reduce to 42185573 relations and 37899774 ideals in 10 passes Sun Dec 12 23:18:30 2021 max relations containing the same ideal: 79 Sun Dec 12 23:18:41 2021 removing 6554098 relations and 4554098 ideals in 2000000 cliques Sun Dec 12 23:18:42 2021 commencing in-memory singleton removal Sun Dec 12 23:18:43 2021 begin with 35631475 relations and 37899774 unique ideals Sun Dec 12 23:18:52 2021 reduce to 34819935 relations and 32500762 ideals in 8 passes Sun Dec 12 23:18:52 2021 max relations containing the same ideal: 69 Sun Dec 12 23:19:01 2021 removing 4529432 relations and 3327652 ideals in 1201780 cliques Sun Dec 12 23:19:02 2021 commencing in-memory singleton removal Sun Dec 12 23:19:03 2021 begin with 30290503 relations and 32500762 unique ideals Sun Dec 12 23:19:10 2021 reduce to 29814682 relations and 28682714 ideals in 8 passes Sun Dec 12 23:19:10 2021 max relations containing the same ideal: 64 Sun Dec 12 23:19:18 2021 removing 115367 relations and 100792 ideals in 14575 cliques Sun Dec 12 23:19:18 2021 commencing in-memory singleton removal Sun Dec 12 23:19:19 2021 begin with 29699315 relations and 28682714 unique ideals Sun Dec 12 23:19:24 2021 reduce to 29699019 relations and 28581626 ideals in 5 passes Sun Dec 12 23:19:24 2021 max relations containing the same ideal: 64 Sun Dec 12 23:19:27 2021 relations with 0 large ideals: 74283 Sun Dec 12 23:19:27 2021 relations with 1 large ideals: 18347 Sun Dec 12 23:19:27 2021 relations with 2 large ideals: 214039 Sun Dec 12 23:19:27 2021 relations with 3 large ideals: 1240046 Sun Dec 12 23:19:27 2021 relations with 4 large ideals: 3930342 Sun Dec 12 23:19:27 2021 relations with 5 large ideals: 8152880 Sun Dec 12 23:19:27 2021 relations with 6 large ideals: 7813207 Sun Dec 12 23:19:27 2021 relations with 7+ large ideals: 8255875 Sun Dec 12 23:19:27 2021 commencing 2-way merge Sun Dec 12 23:19:37 2021 reduce to 18973245 relation sets and 17855852 unique ideals Sun Dec 12 23:19:37 2021 commencing full merge Sun Dec 12 23:23:27 2021 memory use: 2230.9 MB Sun Dec 12 23:23:28 2021 found 8850047 cycles, need 8742052 Sun Dec 12 23:23:30 2021 weight of 8742052 cycles is about 874656443 (100.05/cycle) Sun Dec 12 23:23:30 2021 distribution of cycle lengths: Sun Dec 12 23:23:30 2021 1 relations: 681532 Sun Dec 12 23:23:30 2021 2 relations: 661279 Sun Dec 12 23:23:30 2021 3 relations: 657214 Sun Dec 12 23:23:30 2021 4 relations: 654244 Sun Dec 12 23:23:30 2021 5 relations: 655458 Sun Dec 12 23:23:30 2021 6 relations: 648149 Sun Dec 12 23:23:30 2021 7 relations: 623831 Sun Dec 12 23:23:30 2021 8 relations: 591659 Sun Dec 12 23:23:30 2021 9 relations: 547998 Sun Dec 12 23:23:30 2021 10+ relations: 3020688 Sun Dec 12 23:23:30 2021 heaviest cycle: 28 relations Sun Dec 12 23:23:33 2021 commencing cycle optimization Sun Dec 12 23:23:43 2021 start with 69719016 relations Sun Dec 12 23:25:10 2021 pruned 2953593 relations Sun Dec 12 23:25:10 2021 memory use: 1925.6 MB Sun Dec 12 23:25:10 2021 distribution of cycle lengths: Sun Dec 12 23:25:10 2021 1 relations: 681532 Sun Dec 12 23:25:10 2021 2 relations: 674066 Sun Dec 12 23:25:10 2021 3 relations: 682312 Sun Dec 12 23:25:10 2021 4 relations: 680133 Sun Dec 12 23:25:10 2021 5 relations: 687756 Sun Dec 12 23:25:10 2021 6 relations: 678029 Sun Dec 12 23:25:10 2021 7 relations: 656192 Sun Dec 12 23:25:10 2021 8 relations: 618304 Sun Dec 12 23:25:10 2021 9 relations: 571833 Sun Dec 12 23:25:10 2021 10+ relations: 2811895 Sun Dec 12 23:25:10 2021 heaviest cycle: 28 relations Sun Dec 12 23:25:18 2021 RelProcTime: 2704 Sun Dec 12 23:25:19 2021 Sun Dec 12 23:25:19 2021 commencing linear algebra Sun Dec 12 23:25:19 2021 using VBITS=384 Sun Dec 12 23:25:19 2021 read 8742052 cycles Sun Dec 12 23:25:30 2021 cycles contain 29028127 unique relations Sun Dec 12 23:27:05 2021 read 29028127 relations Sun Dec 12 23:27:38 2021 using 20 quadratic characters above 4294917295 Sun Dec 12 23:28:57 2021 building initial matrix Sun Dec 12 23:32:02 2021 memory use: 3581.1 MB Sun Dec 12 23:32:04 2021 read 8742052 cycles Sun Dec 12 23:32:05 2021 matrix is 8741874 x 8742052 (3519.4 MB) with weight 1010915259 (115.64/col) Sun Dec 12 23:32:05 2021 sparse part has weight 826422000 (94.53/col) Sun Dec 12 23:32:55 2021 filtering completed in 2 passes Sun Dec 12 23:32:57 2021 matrix is 8740652 x 8740799 (3519.3 MB) with weight 1010868618 (115.65/col) Sun Dec 12 23:32:57 2021 sparse part has weight 826401877 (94.55/col) Sun Dec 12 23:33:08 2021 matrix starts at (0, 0) Sun Dec 12 23:33:09 2021 matrix is 8740652 x 8740799 (3519.3 MB) with weight 1010868618 (115.65/col) Sun Dec 12 23:33:09 2021 sparse part has weight 826401877 (94.55/col) Sun Dec 12 23:33:09 2021 saving the first 368 matrix rows for later Sun Dec 12 23:33:11 2021 matrix includes 384 packed rows Sun Dec 12 23:33:14 2021 matrix is 8740284 x 8740799 (3307.8 MB) with weight 729863040 (83.50/col) Sun Dec 12 23:33:14 2021 sparse part has weight 692290851 (79.20/col) Sun Dec 12 23:33:14 2021 using GPU 1 (Tesla V100-PCIE-32GB) Sun Dec 12 23:33:14 2021 selected card has CUDA arch 7.0 Sun Dec 12 23:33:42 2021 commencing Lanczos iteration Sun Dec 12 23:33:43 2021 memory use: 8549.4 MB Sun Dec 12 23:33:46 2021 linear algebra at 0.0%, ETA 3h 9m Sun Dec 12 23:33:48 2021 checkpointing every 3040000 dimensions Mon Dec 13 02:12:11 2021 lanczos halted after 22808 iterations (dim = 8740280) Mon Dec 13 02:13:07 2021 recovered 36 nontrivial dependencies Mon Dec 13 02:13:07 2021 BLanczosTime: 10068 Mon Dec 13 02:13:07 2021 Mon Dec 13 02:13:07 2021 commencing square root phase Mon Dec 13 02:13:07 2021 handling dependencies 1 to 64 Mon Dec 13 02:13:07 2021 reading relations for dependency 1 Mon Dec 13 02:13:08 2021 read 4369185 cycles Mon Dec 13 02:13:13 2021 cycles contain 14506150 unique relations Mon Dec 13 02:14:09 2021 read 14506150 relations Mon Dec 13 02:14:47 2021 multiplying 14506150 relations Mon Dec 13 02:17:44 2021 multiply complete, coefficients have about 379.31 million bits Mon Dec 13 02:17:45 2021 initial square root is modulo 6397553 Mon Dec 13 02:21:36 2021 sqrtTime: 509 Mon Dec 13 02:21:36 2021 p58 factor: 2911020540818735667692075568719115631147610882856319265561 Mon Dec 13 02:21:36 2021 p122 factor: 12754865425282758858523752307085984640643168029228765682068569281101252424549806884506603018014945107090785922259229559251 Mon Dec 13 02:21:36 2021 elapsed time 03:41:23