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- Wed Oct 13 02:07:26 2021
- Wed Oct 13 02:07:26 2021
- Wed Oct 13 02:07:26 2021 Msieve v. 1.54 (SVN unknown)
- Wed Oct 13 02:07:26 2021 random seeds: 85a458c2 579d8de7
- Wed Oct 13 02:07:26 2021 factoring 109698946446900024736004791088303935993274911883250937324751518431207100506007938147703794010181489902712598602031592601359285464952410482262104779963225581227245723194144377331218774729 (186 digits)
- Wed Oct 13 02:07:27 2021 no P-1/P+1/ECM available, skipping
- Wed Oct 13 02:07:27 2021 commencing number field sieve (186-digit input)
- Wed Oct 13 02:07:27 2021 R0: 1610613956409901950669410420197960699274365250
- Wed Oct 13 02:07:27 2021 R1: -40132455150537475566943
- Wed Oct 13 02:07:27 2021 A0: 1
- Wed Oct 13 02:07:27 2021 A1: 3
- Wed Oct 13 02:07:27 2021 A2: -3
- Wed Oct 13 02:07:27 2021 A3: -4
- Wed Oct 13 02:07:27 2021 A4: 1
- Wed Oct 13 02:07:27 2021 A5: 1
- Wed Oct 13 02:07:27 2021 skew 1.00, size 2.170e-15, alpha 2.379, combined = 1.563e-12 rroots = 5
- Wed Oct 13 02:07:27 2021
- Wed Oct 13 02:07:27 2021 commencing relation filtering
- Wed Oct 13 02:07:27 2021 setting target matrix density to 110.0
- Wed Oct 13 02:07:27 2021 estimated available RAM is 515600.8 MB
- Wed Oct 13 02:07:27 2021 commencing duplicate removal, pass 1
- Wed Oct 13 02:17:39 2021 skipped 30 relations with b > 2^32
- Wed Oct 13 02:17:39 2021 skipped 42 relations with composite factors
- Wed Oct 13 02:17:39 2021 found 18411546 hash collisions in 118944886 relations
- Wed Oct 13 02:17:45 2021 added 2926300 free relations
- Wed Oct 13 02:17:45 2021 commencing duplicate removal, pass 2
- Wed Oct 13 02:19:21 2021 found 15894276 duplicates and 105976910 unique relations
- Wed Oct 13 02:19:21 2021 memory use: 660.8 MB
- Wed Oct 13 02:19:21 2021 reading ideals above 720000
- Wed Oct 13 02:19:21 2021 commencing singleton removal, initial pass
- Wed Oct 13 02:28:56 2021 memory use: 2756.0 MB
- Wed Oct 13 02:28:56 2021 reading all ideals from disk
- Wed Oct 13 02:28:56 2021 memory use: 3949.5 MB
- Wed Oct 13 02:29:00 2021 keeping 91216517 ideals with weight <= 200, target excess is 539977
- Wed Oct 13 02:29:05 2021 commencing in-memory singleton removal
- Wed Oct 13 02:29:07 2021 begin with 105976910 relations and 91216517 unique ideals
- Wed Oct 13 02:29:40 2021 reduce to 73370838 relations and 55564683 ideals in 13 passes
- Wed Oct 13 02:29:40 2021 max relations containing the same ideal: 165
- Wed Oct 13 02:29:55 2021 removing 8091254 relations and 6091255 ideals in 2000000 cliques
- Wed Oct 13 02:29:57 2021 commencing in-memory singleton removal
- Wed Oct 13 02:29:59 2021 begin with 65279584 relations and 55564683 unique ideals
- Wed Oct 13 02:30:13 2021 reduce to 64515192 relations and 48682676 ideals in 7 passes
- Wed Oct 13 02:30:13 2021 max relations containing the same ideal: 151
- Wed Oct 13 02:30:28 2021 removing 6542467 relations and 4542467 ideals in 2000000 cliques
- Wed Oct 13 02:30:29 2021 commencing in-memory singleton removal
- Wed Oct 13 02:30:31 2021 begin with 57972725 relations and 48682676 unique ideals
- Wed Oct 13 02:30:43 2021 reduce to 57444541 relations and 43595316 ideals in 7 passes
- Wed Oct 13 02:30:43 2021 max relations containing the same ideal: 141
- Wed Oct 13 02:30:56 2021 removing 6089804 relations and 4089804 ideals in 2000000 cliques
- Wed Oct 13 02:30:58 2021 commencing in-memory singleton removal
- Wed Oct 13 02:30:59 2021 begin with 51354737 relations and 43595316 unique ideals
- Wed Oct 13 02:31:09 2021 reduce to 50880389 relations and 39015452 ideals in 6 passes
- Wed Oct 13 02:31:09 2021 max relations containing the same ideal: 128
- Wed Oct 13 02:31:20 2021 removing 5863746 relations and 3863746 ideals in 2000000 cliques
- Wed Oct 13 02:31:22 2021 commencing in-memory singleton removal
- Wed Oct 13 02:31:23 2021 begin with 45016643 relations and 39015452 unique ideals
- Wed Oct 13 02:31:33 2021 reduce to 44547806 relations and 34666143 ideals in 7 passes
- Wed Oct 13 02:31:33 2021 max relations containing the same ideal: 118
- Wed Oct 13 02:31:43 2021 removing 5730979 relations and 3730979 ideals in 2000000 cliques
- Wed Oct 13 02:31:44 2021 commencing in-memory singleton removal
- Wed Oct 13 02:31:45 2021 begin with 38816827 relations and 34666143 unique ideals
- Wed Oct 13 02:31:53 2021 reduce to 38332973 relations and 30431959 ideals in 7 passes
- Wed Oct 13 02:31:53 2021 max relations containing the same ideal: 108
- Wed Oct 13 02:32:02 2021 removing 5642680 relations and 3642680 ideals in 2000000 cliques
- Wed Oct 13 02:32:04 2021 commencing in-memory singleton removal
- Wed Oct 13 02:32:05 2021 begin with 32690293 relations and 30431959 unique ideals
- Wed Oct 13 02:32:12 2021 reduce to 32166013 relations and 26240900 ideals in 7 passes
- Wed Oct 13 02:32:12 2021 max relations containing the same ideal: 95
- Wed Oct 13 02:32:19 2021 removing 5589011 relations and 3589011 ideals in 2000000 cliques
- Wed Oct 13 02:32:20 2021 commencing in-memory singleton removal
- Wed Oct 13 02:32:21 2021 begin with 26577002 relations and 26240900 unique ideals
- Wed Oct 13 02:32:27 2021 reduce to 25986544 relations and 22029878 ideals in 7 passes
- Wed Oct 13 02:32:27 2021 max relations containing the same ideal: 86
- Wed Oct 13 02:32:33 2021 removing 5552662 relations and 3552662 ideals in 2000000 cliques
- Wed Oct 13 02:32:34 2021 commencing in-memory singleton removal
- Wed Oct 13 02:32:35 2021 begin with 20433882 relations and 22029878 unique ideals
- Wed Oct 13 02:32:39 2021 reduce to 19736420 relations and 17733164 ideals in 8 passes
- Wed Oct 13 02:32:39 2021 max relations containing the same ideal: 71
- Wed Oct 13 02:32:44 2021 removing 4037950 relations and 2661068 ideals in 1376883 cliques
- Wed Oct 13 02:32:45 2021 commencing in-memory singleton removal
- Wed Oct 13 02:32:46 2021 begin with 15698470 relations and 17733164 unique ideals
- Wed Oct 13 02:32:50 2021 reduce to 15157528 relations and 14497039 ideals in 10 passes
- Wed Oct 13 02:32:50 2021 max relations containing the same ideal: 57
- Wed Oct 13 02:32:54 2021 removing 196797 relations and 162682 ideals in 34115 cliques
- Wed Oct 13 02:32:54 2021 commencing in-memory singleton removal
- Wed Oct 13 02:32:55 2021 begin with 14960731 relations and 14497039 unique ideals
- Wed Oct 13 02:32:57 2021 reduce to 14958558 relations and 14332175 ideals in 6 passes
- Wed Oct 13 02:32:57 2021 max relations containing the same ideal: 57
- Wed Oct 13 02:32:59 2021 relations with 0 large ideals: 42332
- Wed Oct 13 02:32:59 2021 relations with 1 large ideals: 11790
- Wed Oct 13 02:32:59 2021 relations with 2 large ideals: 137733
- Wed Oct 13 02:32:59 2021 relations with 3 large ideals: 758663
- Wed Oct 13 02:32:59 2021 relations with 4 large ideals: 2194679
- Wed Oct 13 02:32:59 2021 relations with 5 large ideals: 3720096
- Wed Oct 13 02:32:59 2021 relations with 6 large ideals: 4354727
- Wed Oct 13 02:32:59 2021 relations with 7+ large ideals: 3738538
- Wed Oct 13 02:32:59 2021 commencing 2-way merge
- Wed Oct 13 02:33:04 2021 reduce to 10115862 relation sets and 9489479 unique ideals
- Wed Oct 13 02:33:04 2021 commencing full merge
- Wed Oct 13 02:35:24 2021 memory use: 1256.7 MB
- Wed Oct 13 02:35:25 2021 found 4670621 cycles, need 4627679
- Wed Oct 13 02:35:26 2021 weight of 4627679 cycles is about 509100738 (110.01/cycle)
- Wed Oct 13 02:35:26 2021 distribution of cycle lengths:
- Wed Oct 13 02:35:26 2021 1 relations: 173525
- Wed Oct 13 02:35:26 2021 2 relations: 261786
- Wed Oct 13 02:35:26 2021 3 relations: 324962
- Wed Oct 13 02:35:26 2021 4 relations: 346938
- Wed Oct 13 02:35:26 2021 5 relations: 361937
- Wed Oct 13 02:35:26 2021 6 relations: 361516
- Wed Oct 13 02:35:26 2021 7 relations: 353155
- Wed Oct 13 02:35:26 2021 8 relations: 334384
- Wed Oct 13 02:35:26 2021 9 relations: 309716
- Wed Oct 13 02:35:26 2021 10+ relations: 1799760
- Wed Oct 13 02:35:26 2021 heaviest cycle: 28 relations
- Wed Oct 13 02:35:27 2021 commencing cycle optimization
- Wed Oct 13 02:35:32 2021 start with 40624657 relations
- Wed Oct 13 02:36:31 2021 pruned 2022810 relations
- Wed Oct 13 02:36:31 2021 memory use: 1038.7 MB
- Wed Oct 13 02:36:31 2021 distribution of cycle lengths:
- Wed Oct 13 02:36:31 2021 1 relations: 173525
- Wed Oct 13 02:36:31 2021 2 relations: 268041
- Wed Oct 13 02:36:31 2021 3 relations: 338948
- Wed Oct 13 02:36:31 2021 4 relations: 362657
- Wed Oct 13 02:36:31 2021 5 relations: 382334
- Wed Oct 13 02:36:31 2021 6 relations: 382062
- Wed Oct 13 02:36:31 2021 7 relations: 374623
- Wed Oct 13 02:36:31 2021 8 relations: 352470
- Wed Oct 13 02:36:31 2021 9 relations: 325484
- Wed Oct 13 02:36:31 2021 10+ relations: 1667535
- Wed Oct 13 02:36:31 2021 heaviest cycle: 28 relations
- Wed Oct 13 02:36:35 2021 RelProcTime: 1748
- Wed Oct 13 02:36:35 2021
- Wed Oct 13 02:36:35 2021 commencing linear algebra
- Wed Oct 13 02:36:35 2021 using VBITS=384
- Wed Oct 13 02:36:36 2021 read 4627679 cycles
- Wed Oct 13 02:36:41 2021 cycles contain 14650023 unique relations
- Wed Oct 13 02:38:35 2021 read 14650023 relations
- Wed Oct 13 02:38:51 2021 using 20 quadratic characters above 4294917295
- Wed Oct 13 02:39:31 2021 building initial matrix
- Wed Oct 13 02:41:13 2021 memory use: 1797.9 MB
- Wed Oct 13 02:41:15 2021 read 4627679 cycles
- Wed Oct 13 02:41:15 2021 matrix is 4627502 x 4627679 (2008.2 MB) with weight 575351231 (124.33/col)
- Wed Oct 13 02:41:15 2021 sparse part has weight 475544025 (102.76/col)
- Wed Oct 13 02:41:42 2021 filtering completed in 2 passes
- Wed Oct 13 02:41:42 2021 matrix is 4627288 x 4627438 (2008.2 MB) with weight 575341898 (124.33/col)
- Wed Oct 13 02:41:42 2021 sparse part has weight 475539709 (102.77/col)
- Wed Oct 13 02:41:49 2021 matrix starts at (0, 0)
- Wed Oct 13 02:41:49 2021 matrix is 4627288 x 4627438 (2008.2 MB) with weight 575341898 (124.33/col)
- Wed Oct 13 02:41:49 2021 sparse part has weight 475539709 (102.77/col)
- Wed Oct 13 02:41:49 2021 saving the first 368 matrix rows for later
- Wed Oct 13 02:41:50 2021 matrix includes 384 packed rows
- Wed Oct 13 02:41:52 2021 matrix is 4626920 x 4627438 (1858.7 MB) with weight 417757083 (90.28/col)
- Wed Oct 13 02:41:52 2021 sparse part has weight 394709013 (85.30/col)
- Wed Oct 13 02:41:52 2021 using GPU 0 (Tesla V100-PCIE-32GB)
- Wed Oct 13 02:41:52 2021 selected card has CUDA arch 7.0
- Wed Oct 13 02:42:07 2021 commencing Lanczos iteration
- Wed Oct 13 02:42:07 2021 memory use: 4741.3 MB
- Wed Oct 13 02:42:09 2021 linear algebra at 0.0%, ETA 1h 6m
- Wed Oct 13 02:42:10 2021 checkpointing every 5060000 dimensions
- Wed Oct 13 03:27:26 2021 lanczos halted after 12074 iterations (dim = 4626920)
- Wed Oct 13 03:27:44 2021 recovered 36 nontrivial dependencies
- Wed Oct 13 03:27:44 2021 BLanczosTime: 3069
- Wed Oct 13 03:27:44 2021
- Wed Oct 13 03:27:44 2021 commencing square root phase
- Wed Oct 13 03:27:44 2021 handling dependencies 1 to 64
- Wed Oct 13 03:27:44 2021 reading relations for dependency 1
- Wed Oct 13 03:27:45 2021 read 2313062 cycles
- Wed Oct 13 03:27:47 2021 cycles contain 7322648 unique relations
- Wed Oct 13 03:29:20 2021 read 7322648 relations
- Wed Oct 13 03:29:38 2021 multiplying 7322648 relations
- Wed Oct 13 03:31:33 2021 multiply complete, coefficients have about 180.37 million bits
- Wed Oct 13 03:31:33 2021 initial square root is modulo 2971399
- Wed Oct 13 03:33:55 2021 GCD is 1, no factor found
- Wed Oct 13 03:33:55 2021 reading relations for dependency 2
- Wed Oct 13 03:33:56 2021 read 2314067 cycles
- Wed Oct 13 03:33:58 2021 cycles contain 7325622 unique relations
- Wed Oct 13 03:35:30 2021 read 7325622 relations
- Wed Oct 13 03:35:48 2021 multiplying 7325622 relations
- Wed Oct 13 03:37:42 2021 multiply complete, coefficients have about 180.44 million bits
- Wed Oct 13 03:37:43 2021 initial square root is modulo 2990123
- Wed Oct 13 03:40:05 2021 GCD is N, no factor found
- Wed Oct 13 03:40:05 2021 reading relations for dependency 3
- Wed Oct 13 03:40:05 2021 read 2314824 cycles
- Wed Oct 13 03:40:08 2021 cycles contain 7325598 unique relations
- Wed Oct 13 03:41:39 2021 read 7325598 relations
- Wed Oct 13 03:41:56 2021 multiplying 7325598 relations
- Wed Oct 13 03:43:51 2021 multiply complete, coefficients have about 180.45 million bits
- Wed Oct 13 03:43:51 2021 initial square root is modulo 2990531
- Wed Oct 13 03:46:13 2021 sqrtTime: 1109
- Wed Oct 13 03:46:13 2021 p77 factor: 15142381459795020040102182739703885076527305312137941787167882378981108867393
- Wed Oct 13 03:46:13 2021 p109 factor: 7244497620018681101673689636741325429551110889881867194480894269077749635042781599185827406014858498266345353
- Wed Oct 13 03:46:13 2021 elapsed time 01:38:47
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