Tue Nov 2 03:07:33 2021 Tue Nov 2 03:07:33 2021 Tue Nov 2 03:07:33 2021 Msieve v. 1.54 (SVN unknown) Tue Nov 2 03:07:33 2021 random seeds: 56bd3213 19268fb0 Tue Nov 2 03:07:33 2021 factoring 29599664572493228609493694491912555792307545175169176579570291796021848652971909995362799911474583206774430830257236692579501592334803804867605519020355422906997090939398558008516342606755195751077048894401 (206 digits) Tue Nov 2 03:07:34 2021 no P-1/P+1/ECM available, skipping Tue Nov 2 03:07:34 2021 commencing number field sieve (206-digit input) Tue Nov 2 03:07:34 2021 R0: 26183890704263137277674192438430182020124347 Tue Nov 2 03:07:34 2021 R1: -43556142965880123323311949751266331066368 Tue Nov 2 03:07:34 2021 A0: 576 Tue Nov 2 03:07:34 2021 A1: 0 Tue Nov 2 03:07:34 2021 A2: 0 Tue Nov 2 03:07:34 2021 A3: 0 Tue Nov 2 03:07:34 2021 A4: 0 Tue Nov 2 03:07:34 2021 A5: 0 Tue Nov 2 03:07:34 2021 A6: 1 Tue Nov 2 03:07:34 2021 skew 2.88, size 7.072e-13, alpha 0.124, combined = 9.046e-14 rroots = 0 Tue Nov 2 03:07:34 2021 Tue Nov 2 03:07:34 2021 commencing relation filtering Tue Nov 2 03:07:34 2021 setting target matrix density to 120.0 Tue Nov 2 03:07:34 2021 estimated available RAM is 515600.8 MB Tue Nov 2 03:07:34 2021 commencing duplicate removal, pass 1 Tue Nov 2 03:29:33 2021 skipped 250 relations with b > 2^32 Tue Nov 2 03:29:33 2021 skipped 913 relations with composite factors Tue Nov 2 03:29:33 2021 found 50794359 hash collisions in 244584185 relations Tue Nov 2 03:29:45 2021 added 1218608 free relations Tue Nov 2 03:29:45 2021 commencing duplicate removal, pass 2 Tue Nov 2 03:33:26 2021 found 52211536 duplicates and 193591257 unique relations Tue Nov 2 03:33:26 2021 memory use: 1321.5 MB Tue Nov 2 03:33:26 2021 reading ideals above 720000 Tue Nov 2 03:33:30 2021 commencing singleton removal, initial pass Tue Nov 2 03:52:07 2021 memory use: 5512.0 MB Tue Nov 2 03:52:07 2021 reading all ideals from disk Tue Nov 2 03:52:08 2021 memory use: 8009.3 MB Tue Nov 2 03:52:15 2021 keeping 179234250 ideals with weight <= 200, target excess is 1021666 Tue Nov 2 03:52:25 2021 commencing in-memory singleton removal Tue Nov 2 03:52:31 2021 begin with 193591257 relations and 179234250 unique ideals Tue Nov 2 03:53:35 2021 reduce to 129038828 relations and 108464027 ideals in 14 passes Tue Nov 2 03:53:35 2021 max relations containing the same ideal: 161 Tue Nov 2 03:54:05 2021 removing 11266822 relations and 9266822 ideals in 2000000 cliques Tue Nov 2 03:54:08 2021 commencing in-memory singleton removal Tue Nov 2 03:54:11 2021 begin with 117772006 relations and 108464027 unique ideals Tue Nov 2 03:54:43 2021 reduce to 116973060 relations and 98382224 ideals in 8 passes Tue Nov 2 03:54:43 2021 max relations containing the same ideal: 150 Tue Nov 2 03:55:10 2021 removing 8660451 relations and 6660451 ideals in 2000000 cliques Tue Nov 2 03:55:13 2021 commencing in-memory singleton removal Tue Nov 2 03:55:16 2021 begin with 108312609 relations and 98382224 unique ideals Tue Nov 2 03:55:45 2021 reduce to 107776644 relations and 91176384 ideals in 8 passes Tue Nov 2 03:55:45 2021 max relations containing the same ideal: 144 Tue Nov 2 03:56:09 2021 removing 7887811 relations and 5887811 ideals in 2000000 cliques Tue Nov 2 03:56:12 2021 commencing in-memory singleton removal Tue Nov 2 03:56:15 2021 begin with 99888833 relations and 91176384 unique ideals Tue Nov 2 03:56:45 2021 reduce to 99408959 relations and 84800267 ideals in 8 passes Tue Nov 2 03:56:45 2021 max relations containing the same ideal: 139 Tue Nov 2 03:57:08 2021 removing 7504206 relations and 5504206 ideals in 2000000 cliques Tue Nov 2 03:57:10 2021 commencing in-memory singleton removal Tue Nov 2 03:57:13 2021 begin with 91904753 relations and 84800267 unique ideals Tue Nov 2 03:57:37 2021 reduce to 91443437 relations and 78826204 ideals in 8 passes Tue Nov 2 03:57:37 2021 max relations containing the same ideal: 127 Tue Nov 2 03:57:59 2021 removing 7280354 relations and 5280354 ideals in 2000000 cliques Tue Nov 2 03:58:01 2021 commencing in-memory singleton removal Tue Nov 2 03:58:03 2021 begin with 84163083 relations and 78826204 unique ideals Tue Nov 2 03:58:26 2021 reduce to 83700197 relations and 73073904 ideals in 8 passes Tue Nov 2 03:58:26 2021 max relations containing the same ideal: 121 Tue Nov 2 03:58:46 2021 removing 7151939 relations and 5151939 ideals in 2000000 cliques Tue Nov 2 03:58:48 2021 commencing in-memory singleton removal Tue Nov 2 03:58:50 2021 begin with 76548258 relations and 73073904 unique ideals Tue Nov 2 03:59:08 2021 reduce to 76073698 relations and 67437361 ideals in 7 passes Tue Nov 2 03:59:08 2021 max relations containing the same ideal: 113 Tue Nov 2 03:59:26 2021 removing 7064728 relations and 5064728 ideals in 2000000 cliques Tue Nov 2 03:59:28 2021 commencing in-memory singleton removal Tue Nov 2 03:59:30 2021 begin with 69008970 relations and 67437361 unique ideals Tue Nov 2 03:59:48 2021 reduce to 68507894 relations and 61859945 ideals in 8 passes Tue Nov 2 03:59:48 2021 max relations containing the same ideal: 106 Tue Nov 2 04:00:05 2021 removing 7025227 relations and 5025227 ideals in 2000000 cliques Tue Nov 2 04:00:07 2021 commencing in-memory singleton removal Tue Nov 2 04:00:08 2021 begin with 61482667 relations and 61859945 unique ideals Tue Nov 2 04:00:24 2021 reduce to 60943341 relations and 56281767 ideals in 8 passes Tue Nov 2 04:00:24 2021 max relations containing the same ideal: 100 Tue Nov 2 04:00:39 2021 removing 7013017 relations and 5013017 ideals in 2000000 cliques Tue Nov 2 04:00:41 2021 commencing in-memory singleton removal Tue Nov 2 04:00:43 2021 begin with 53930324 relations and 56281767 unique ideals Tue Nov 2 04:00:58 2021 reduce to 53330332 relations and 50651927 ideals in 9 passes Tue Nov 2 04:00:59 2021 max relations containing the same ideal: 92 Tue Nov 2 04:01:12 2021 removing 5558518 relations and 4065246 ideals in 1493272 cliques Tue Nov 2 04:01:14 2021 commencing in-memory singleton removal Tue Nov 2 04:01:15 2021 begin with 47771814 relations and 50651927 unique ideals Tue Nov 2 04:01:26 2021 reduce to 47352217 relations and 46156892 ideals in 7 passes Tue Nov 2 04:01:26 2021 max relations containing the same ideal: 85 Tue Nov 2 04:01:38 2021 removing 79132 relations and 68940 ideals in 10192 cliques Tue Nov 2 04:01:38 2021 commencing in-memory singleton removal Tue Nov 2 04:01:40 2021 begin with 47273085 relations and 46156892 unique ideals Tue Nov 2 04:01:46 2021 reduce to 47273012 relations and 46087879 ideals in 4 passes Tue Nov 2 04:01:46 2021 max relations containing the same ideal: 85 Tue Nov 2 04:01:52 2021 relations with 0 large ideals: 38283 Tue Nov 2 04:01:53 2021 relations with 1 large ideals: 15092 Tue Nov 2 04:01:53 2021 relations with 2 large ideals: 175789 Tue Nov 2 04:01:53 2021 relations with 3 large ideals: 1151557 Tue Nov 2 04:01:53 2021 relations with 4 large ideals: 4158609 Tue Nov 2 04:01:53 2021 relations with 5 large ideals: 9046560 Tue Nov 2 04:01:53 2021 relations with 6 large ideals: 12392436 Tue Nov 2 04:01:53 2021 relations with 7+ large ideals: 20294686 Tue Nov 2 04:01:53 2021 commencing 2-way merge Tue Nov 2 04:02:09 2021 reduce to 31319990 relation sets and 30134857 unique ideals Tue Nov 2 04:02:09 2021 commencing full merge Tue Nov 2 04:10:30 2021 memory use: 4105.2 MB Tue Nov 2 04:10:33 2021 found 14237540 cycles, need 14177057 Tue Nov 2 04:10:36 2021 weight of 14177057 cycles is about 1701485985 (120.02/cycle) Tue Nov 2 04:10:36 2021 distribution of cycle lengths: Tue Nov 2 04:10:36 2021 1 relations: 650289 Tue Nov 2 04:10:36 2021 2 relations: 919539 Tue Nov 2 04:10:36 2021 3 relations: 1058865 Tue Nov 2 04:10:36 2021 4 relations: 1073035 Tue Nov 2 04:10:36 2021 5 relations: 1077990 Tue Nov 2 04:10:36 2021 6 relations: 1047088 Tue Nov 2 04:10:36 2021 7 relations: 1012937 Tue Nov 2 04:10:36 2021 8 relations: 957567 Tue Nov 2 04:10:36 2021 9 relations: 897195 Tue Nov 2 04:10:36 2021 10+ relations: 5482552 Tue Nov 2 04:10:36 2021 heaviest cycle: 28 relations Tue Nov 2 04:10:39 2021 commencing cycle optimization Tue Nov 2 04:10:58 2021 start with 123299982 relations Tue Nov 2 04:14:03 2021 pruned 5764994 relations Tue Nov 2 04:14:03 2021 memory use: 3230.1 MB Tue Nov 2 04:14:03 2021 distribution of cycle lengths: Tue Nov 2 04:14:03 2021 1 relations: 650289 Tue Nov 2 04:14:03 2021 2 relations: 942769 Tue Nov 2 04:14:03 2021 3 relations: 1105874 Tue Nov 2 04:14:03 2021 4 relations: 1118706 Tue Nov 2 04:14:03 2021 5 relations: 1132532 Tue Nov 2 04:14:03 2021 6 relations: 1097487 Tue Nov 2 04:14:03 2021 7 relations: 1064944 Tue Nov 2 04:14:03 2021 8 relations: 1002608 Tue Nov 2 04:14:03 2021 9 relations: 936528 Tue Nov 2 04:14:03 2021 10+ relations: 5125320 Tue Nov 2 04:14:03 2021 heaviest cycle: 28 relations Tue Nov 2 04:14:17 2021 RelProcTime: 4003 Tue Nov 2 04:14:17 2021 Tue Nov 2 04:14:17 2021 commencing linear algebra Tue Nov 2 04:14:17 2021 using VBITS=384 Tue Nov 2 04:14:18 2021 read 14177057 cycles Tue Nov 2 04:14:37 2021 cycles contain 46623291 unique relations Tue Nov 2 04:19:37 2021 read 46623291 relations Tue Nov 2 04:20:36 2021 using 20 quadratic characters above 4294917295 Tue Nov 2 04:22:44 2021 building initial matrix Tue Nov 2 04:29:09 2021 memory use: 5975.1 MB Tue Nov 2 04:29:13 2021 read 14177057 cycles Tue Nov 2 04:29:15 2021 matrix is 14176880 x 14177057 (6650.1 MB) with weight 1905697037 (134.42/col) Tue Nov 2 04:29:15 2021 sparse part has weight 1587329494 (111.96/col) Tue Nov 2 04:30:50 2021 filtering completed in 2 passes Tue Nov 2 04:30:52 2021 matrix is 14176550 x 14176718 (6650.0 MB) with weight 1905684663 (134.42/col) Tue Nov 2 04:30:52 2021 sparse part has weight 1587324769 (111.97/col) Tue Nov 2 04:31:23 2021 matrix starts at (0, 0) Tue Nov 2 04:31:24 2021 matrix is 14176550 x 14176718 (6650.0 MB) with weight 1905684663 (134.42/col) Tue Nov 2 04:31:28 2021 sparse part has weight 1587324769 (111.97/col) Tue Nov 2 04:31:28 2021 saving the first 368 matrix rows for later Tue Nov 2 04:31:30 2021 matrix includes 384 packed rows Tue Nov 2 04:31:35 2021 matrix is 14176182 x 14176718 (6224.5 MB) with weight 1418483870 (100.06/col) Tue Nov 2 04:31:35 2021 sparse part has weight 1348178379 (95.10/col) Tue Nov 2 04:31:36 2021 using GPU 1 (Tesla V100-PCIE-32GB) Tue Nov 2 04:31:36 2021 selected card has CUDA arch 7.0 Tue Nov 2 04:32:30 2021 commencing Lanczos iteration Tue Nov 2 04:32:31 2021 memory use: 15585.6 MB Tue Nov 2 04:32:37 2021 linear algebra at 0.0%, ETA 8h33m Tue Nov 2 04:32:41 2021 checkpointing every 1690000 dimensions Tue Nov 2 12:31:53 2021 lanczos halted after 36992 iterations (dim = 14176178) Tue Nov 2 12:33:29 2021 recovered 37 nontrivial dependencies Tue Nov 2 12:33:32 2021 BLanczosTime: 29955 Tue Nov 2 12:33:32 2021 Tue Nov 2 12:33:32 2021 commencing square root phase Tue Nov 2 12:33:32 2021 handling dependencies 1 to 64 Tue Nov 2 12:33:32 2021 reading relations for dependency 1 Tue Nov 2 12:33:35 2021 read 7091256 cycles Tue Nov 2 12:33:45 2021 cycles contain 23318232 unique relations Tue Nov 2 12:37:35 2021 read 23318232 relations Tue Nov 2 12:38:46 2021 multiplying 23318232 relations Tue Nov 2 12:50:31 2021 multiply complete, coefficients have about 627.20 million bits Tue Nov 2 12:50:33 2021 initial square root is modulo 423667 Tue Nov 2 13:03:04 2021 GCD is 1, no factor found Tue Nov 2 13:03:04 2021 reading relations for dependency 2 Tue Nov 2 13:03:05 2021 read 7090132 cycles Tue Nov 2 13:03:15 2021 cycles contain 23319956 unique relations Tue Nov 2 13:07:03 2021 read 23319956 relations Tue Nov 2 13:08:12 2021 multiplying 23319956 relations Tue Nov 2 13:19:57 2021 multiply complete, coefficients have about 627.25 million bits Tue Nov 2 13:19:59 2021 initial square root is modulo 424027 Tue Nov 2 13:32:30 2021 sqrtTime: 3538 Tue Nov 2 13:32:30 2021 p77 factor: 12196362391754908707650574017942397551796128797843500213182427014057548673921 Tue Nov 2 13:32:30 2021 p130 factor: 2426925637475601089897374054328427347446037846834752216436668701527353120212787816277262466734627504650884569431952617888788770881 Tue Nov 2 13:32:30 2021 elapsed time 10:24:57