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- Tue Apr 22 07:37:20 2025
- Tue Apr 22 07:37:20 2025
- Tue Apr 22 07:37:20 2025 Msieve v. 1.54 (SVN Unversioned directory)
- Tue Apr 22 07:37:20 2025 random seeds: 49d273e1 70447d6b
- Tue Apr 22 07:37:20 2025 MPI process 0 of 1
- Tue Apr 22 07:37:20 2025 Using 32 OpenMP threads
- Tue Apr 22 07:37:20 2025 factoring 16710860220939168214761447013918645687887359931762000544026747012784388313540750802132183303353632763182381590008818697307358497116706363524493009925533652169733 (161 digits)
- Tue Apr 22 07:37:21 2025 searching for 15-digit factors
- Tue Apr 22 07:37:21 2025 commencing number field sieve (161-digit input)
- Tue Apr 22 07:37:21 2025 R0: -11418239217184122170826574257310
- Tue Apr 22 07:37:21 2025 R1: 39960641570962019
- Tue Apr 22 07:37:21 2025 A0: 3032651669302166940781343445074976463617
- Tue Apr 22 07:37:21 2025 A1: 325298535268735180966394005303525
- Tue Apr 22 07:37:21 2025 A2: -19609362004273553008918449
- Tue Apr 22 07:37:21 2025 A3: -19173434924600757893
- Tue Apr 22 07:37:21 2025 A4: -1815775997540
- Tue Apr 22 07:37:21 2025 A5: 86100
- Tue Apr 22 07:37:21 2025 skew 10712756.85, size 1.262e-15, alpha -7.217, combined = 1.303e-12 rroots = 3
- Tue Apr 22 07:37:21 2025
- Tue Apr 22 07:37:21 2025 commencing relation filtering
- Tue Apr 22 07:37:21 2025 setting target matrix density to 120.0
- Tue Apr 22 07:37:21 2025 estimated available RAM is 257736.5 MB
- Tue Apr 22 07:37:21 2025 commencing duplicate removal, pass 1
- Tue Apr 22 07:40:09 2025 error -1 reading relation 68671557
- Tue Apr 22 07:40:51 2025 error -1 reading relation 85170232
- Tue Apr 22 07:40:56 2025 error -1 reading relation 87504815
- Tue Apr 22 07:40:59 2025 error -1 reading relation 88660056
- Tue Apr 22 07:41:02 2025 error -1 reading relation 89645946
- Tue Apr 22 07:41:04 2025 error -1 reading relation 90415391
- Tue Apr 22 07:41:07 2025 error -1 reading relation 91560538
- Tue Apr 22 07:41:11 2025 error -1 reading relation 92930725
- Tue Apr 22 07:41:24 2025 error -15 reading relation 97949342
- Tue Apr 22 07:42:02 2025 error -1 reading relation 112108076
- Tue Apr 22 07:42:08 2025 error -1 reading relation 114499946
- Tue Apr 22 07:42:28 2025 skipped 91 malformed relations
- Tue Apr 22 07:42:28 2025 found 21814343 hash collisions in 121700901 relations
- Tue Apr 22 07:42:52 2025 added 121741 free relations
- Tue Apr 22 07:42:52 2025 commencing duplicate removal, pass 2
- Tue Apr 22 07:45:45 2025 found 20228729 duplicates and 101593913 unique relations
- Tue Apr 22 07:45:45 2025 memory use: 660.8 MB
- Tue Apr 22 07:45:45 2025 reading ideals above 720000
- Tue Apr 22 07:45:45 2025 commencing singleton removal, initial pass
- Tue Apr 22 07:54:03 2025 memory use: 2756.0 MB
- Tue Apr 22 07:54:03 2025 reading all ideals from disk
- Tue Apr 22 07:54:05 2025 memory use: 4547.1 MB
- Tue Apr 22 07:54:19 2025 keeping 90174597 ideals with weight <= 200, target excess is 527571
- Tue Apr 22 07:54:34 2025 commencing in-memory singleton removal
- Tue Apr 22 07:54:36 2025 begin with 101593913 relations and 90174597 unique ideals
- Tue Apr 22 07:54:45 2025 reduce to 67239502 relations and 52427963 ideals in 13 passes
- Tue Apr 22 07:54:45 2025 max relations containing the same ideal: 161
- Tue Apr 22 07:55:12 2025 removing 8572834 relations and 6572834 ideals in 2000000 cliques
- Tue Apr 22 07:55:16 2025 commencing in-memory singleton removal
- Tue Apr 22 07:55:17 2025 begin with 58666668 relations and 52427963 unique ideals
- Tue Apr 22 07:55:20 2025 reduce to 57828573 relations and 44986650 ideals in 7 passes
- Tue Apr 22 07:55:20 2025 max relations containing the same ideal: 143
- Tue Apr 22 07:55:43 2025 removing 6761773 relations and 4761773 ideals in 2000000 cliques
- Tue Apr 22 07:55:46 2025 commencing in-memory singleton removal
- Tue Apr 22 07:55:47 2025 begin with 51066800 relations and 44986650 unique ideals
- Tue Apr 22 07:55:50 2025 reduce to 50472532 relations and 39610831 ideals in 7 passes
- Tue Apr 22 07:55:50 2025 max relations containing the same ideal: 134
- Tue Apr 22 07:56:11 2025 removing 6279809 relations and 4279809 ideals in 2000000 cliques
- Tue Apr 22 07:56:14 2025 commencing in-memory singleton removal
- Tue Apr 22 07:56:15 2025 begin with 44192723 relations and 39610831 unique ideals
- Tue Apr 22 07:56:17 2025 reduce to 43646141 relations and 34764734 ideals in 7 passes
- Tue Apr 22 07:56:17 2025 max relations containing the same ideal: 120
- Tue Apr 22 07:56:35 2025 removing 6041444 relations and 4041444 ideals in 2000000 cliques
- Tue Apr 22 07:56:38 2025 commencing in-memory singleton removal
- Tue Apr 22 07:56:38 2025 begin with 37604697 relations and 34764734 unique ideals
- Tue Apr 22 07:56:41 2025 reduce to 37052128 relations and 30148594 ideals in 7 passes
- Tue Apr 22 07:56:41 2025 max relations containing the same ideal: 109
- Tue Apr 22 07:56:57 2025 removing 5902783 relations and 3902783 ideals in 2000000 cliques
- Tue Apr 22 07:57:00 2025 commencing in-memory singleton removal
- Tue Apr 22 07:57:00 2025 begin with 31149345 relations and 30148594 unique ideals
- Tue Apr 22 07:57:02 2025 reduce to 30558694 relations and 25627599 ideals in 7 passes
- Tue Apr 22 07:57:02 2025 max relations containing the same ideal: 98
- Tue Apr 22 07:57:14 2025 removing 5816270 relations and 3816270 ideals in 2000000 cliques
- Tue Apr 22 07:57:17 2025 commencing in-memory singleton removal
- Tue Apr 22 07:57:17 2025 begin with 24742424 relations and 25627599 unique ideals
- Tue Apr 22 07:57:18 2025 reduce to 24076408 relations and 21108018 ideals in 7 passes
- Tue Apr 22 07:57:18 2025 max relations containing the same ideal: 82
- Tue Apr 22 07:57:29 2025 removing 5748004 relations and 3748004 ideals in 2000000 cliques
- Tue Apr 22 07:57:32 2025 commencing in-memory singleton removal
- Tue Apr 22 07:57:32 2025 begin with 18328404 relations and 21108018 unique ideals
- Tue Apr 22 07:57:33 2025 reduce to 17518018 relations and 16491488 ideals in 9 passes
- Tue Apr 22 07:57:33 2025 max relations containing the same ideal: 72
- Tue Apr 22 07:57:41 2025 removing 1620561 relations and 1206014 ideals in 414547 cliques
- Tue Apr 22 07:57:43 2025 commencing in-memory singleton removal
- Tue Apr 22 07:57:43 2025 begin with 15897457 relations and 16491488 unique ideals
- Tue Apr 22 07:57:43 2025 reduce to 15786745 relations and 15172291 ideals in 6 passes
- Tue Apr 22 07:57:43 2025 max relations containing the same ideal: 69
- Tue Apr 22 07:57:54 2025 relations with 0 large ideals: 1673
- Tue Apr 22 07:57:54 2025 relations with 1 large ideals: 12052
- Tue Apr 22 07:57:54 2025 relations with 2 large ideals: 156764
- Tue Apr 22 07:57:54 2025 relations with 3 large ideals: 861296
- Tue Apr 22 07:57:54 2025 relations with 4 large ideals: 2467653
- Tue Apr 22 07:57:54 2025 relations with 5 large ideals: 4104995
- Tue Apr 22 07:57:54 2025 relations with 6 large ideals: 4210447
- Tue Apr 22 07:57:54 2025 relations with 7+ large ideals: 3971865
- Tue Apr 22 07:57:54 2025 commencing 2-way merge
- Tue Apr 22 07:58:04 2025 reduce to 10404954 relation sets and 9790500 unique ideals
- Tue Apr 22 07:58:04 2025 commencing full merge
- Tue Apr 22 08:02:31 2025 memory use: 1257.1 MB
- Tue Apr 22 08:02:32 2025 found 4757509 cycles, need 4696700
- Tue Apr 22 08:02:34 2025 weight of 4696700 cycles is about 564215281 (120.13/cycle)
- Tue Apr 22 08:02:34 2025 distribution of cycle lengths:
- Tue Apr 22 08:02:34 2025 1 relations: 123128
- Tue Apr 22 08:02:34 2025 2 relations: 260808
- Tue Apr 22 08:02:34 2025 3 relations: 328431
- Tue Apr 22 08:02:34 2025 4 relations: 353611
- Tue Apr 22 08:02:34 2025 5 relations: 373560
- Tue Apr 22 08:02:34 2025 6 relations: 375853
- Tue Apr 22 08:02:34 2025 7 relations: 368764
- Tue Apr 22 08:02:34 2025 8 relations: 352828
- Tue Apr 22 08:02:34 2025 9 relations: 330295
- Tue Apr 22 08:02:34 2025 10+ relations: 1829422
- Tue Apr 22 08:02:34 2025 heaviest cycle: 26 relations
- Tue Apr 22 08:02:35 2025 commencing cycle optimization
- Tue Apr 22 08:02:48 2025 start with 40884066 relations
- Tue Apr 22 08:04:37 2025 pruned 2003687 relations
- Tue Apr 22 08:04:37 2025 memory use: 1075.0 MB
- Tue Apr 22 08:04:37 2025 distribution of cycle lengths:
- Tue Apr 22 08:04:37 2025 1 relations: 123128
- Tue Apr 22 08:04:37 2025 2 relations: 268704
- Tue Apr 22 08:04:37 2025 3 relations: 344751
- Tue Apr 22 08:04:37 2025 4 relations: 371393
- Tue Apr 22 08:04:37 2025 5 relations: 395525
- Tue Apr 22 08:04:37 2025 6 relations: 397204
- Tue Apr 22 08:04:37 2025 7 relations: 391028
- Tue Apr 22 08:04:37 2025 8 relations: 372150
- Tue Apr 22 08:04:37 2025 9 relations: 346742
- Tue Apr 22 08:04:37 2025 10+ relations: 1686075
- Tue Apr 22 08:04:37 2025 heaviest cycle: 26 relations
- Tue Apr 22 08:04:45 2025 RelProcTime: 1644
- Tue Apr 22 08:04:45 2025
- Tue Apr 22 08:04:45 2025 commencing linear algebra
- Tue Apr 22 08:04:45 2025 using VBITS=256
- Tue Apr 22 08:04:45 2025 stopping after matrix build
- Tue Apr 22 08:04:45 2025 initialized process (0,0) of 1 x 1 grid
- Tue Apr 22 08:04:46 2025 read 4696700 cycles
- Tue Apr 22 08:04:57 2025 cycles contain 15470617 unique relations
- Tue Apr 22 08:07:14 2025 read 15470617 relations
- Tue Apr 22 08:07:16 2025 using 20 quadratic characters above 4294917295
- Tue Apr 22 08:07:18 2025 building initial matrix
- Tue Apr 22 08:11:28 2025 memory use: 2132.8 MB
- Tue Apr 22 08:11:33 2025 read 4696700 cycles
- Tue Apr 22 08:11:34 2025 matrix is 4696522 x 4696700 (2210.1 MB) with weight 678010745 (144.36/col)
- Tue Apr 22 08:11:34 2025 sparse part has weight 523009353 (111.36/col)
- Tue Apr 22 08:12:32 2025 filtering completed in 2 passes
- Tue Apr 22 08:12:33 2025 matrix is 4696355 x 4696531 (2210.1 MB) with weight 678002042 (144.36/col)
- Tue Apr 22 08:12:33 2025 sparse part has weight 523006281 (111.36/col)
- Tue Apr 22 08:13:04 2025 BLanczosTime: 499
- Tue Apr 22 08:13:04 2025 elapsed time 00:35:44
- Tue Apr 22 08:20:36 2025
- Tue Apr 22 08:20:36 2025
- Tue Apr 22 08:20:36 2025 Msieve v. 1.54 (SVN Unversioned directory)
- Tue Apr 22 08:20:36 2025 random seeds: aad4e77a 068bbb56
- Tue Apr 22 08:20:36 2025 Using 96 OpenMP threads
- Tue Apr 22 08:20:36 2025 factoring 16710860220939168214761447013918645687887359931762000544026747012784388313540750802132183303353632763182381590008818697307358497116706363524493009925533652169733 (161 digits)
- Tue Apr 22 08:20:37 2025 searching for 15-digit factors
- Tue Apr 22 08:20:37 2025 commencing number field sieve (161-digit input)
- Tue Apr 22 08:20:37 2025 R0: -11418239217184122170826574257310
- Tue Apr 22 08:20:37 2025 R1: 39960641570962019
- Tue Apr 22 08:20:37 2025 A0: 3032651669302166940781343445074976463617
- Tue Apr 22 08:20:37 2025 A1: 325298535268735180966394005303525
- Tue Apr 22 08:20:37 2025 A2: -19609362004273553008918449
- Tue Apr 22 08:20:37 2025 A3: -19173434924600757893
- Tue Apr 22 08:20:37 2025 A4: -1815775997540
- Tue Apr 22 08:20:37 2025 A5: 86100
- Tue Apr 22 08:20:37 2025 skew 10712756.85, size 1.262e-15, alpha -7.217, combined = 1.303e-12 rroots = 3
- Tue Apr 22 08:20:37 2025
- Tue Apr 22 08:20:37 2025 commencing linear algebra
- Tue Apr 22 08:20:37 2025 using VBITS=256
- Tue Apr 22 08:20:37 2025 skipping matrix build
- Tue Apr 22 08:20:38 2025 matrix starts at (0, 0)
- Tue Apr 22 08:20:39 2025 matrix is 4696355 x 4696531 (2210.1 MB) with weight 678002042 (144.36/col)
- Tue Apr 22 08:20:39 2025 sparse part has weight 523006281 (111.36/col)
- Tue Apr 22 08:20:39 2025 saving the first 240 matrix rows for later
- Tue Apr 22 08:20:40 2025 matrix includes 256 packed rows
- Tue Apr 22 08:20:41 2025 matrix is 4696115 x 4696531 (1979.0 MB) with weight 476557053 (101.47/col)
- Tue Apr 22 08:20:41 2025 sparse part has weight 443640911 (94.46/col)
- Tue Apr 22 08:20:41 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
- Tue Apr 22 08:20:51 2025 commencing Lanczos iteration (96 threads)
- Tue Apr 22 08:20:51 2025 memory use: 2715.2 MB
- Tue Apr 22 08:21:24 2025 linear algebra at 0.7%, ETA 1h23m
- Tue Apr 22 08:22:10 2025 checking every 50000 dimensions, checkpointing every 3550000 dimensions
- Tue Apr 22 09:36:42 2025 lanczos halted after 18401 iterations (dim = 4696113)
- Tue Apr 22 09:37:02 2025 recovered 30 nontrivial dependencies
- Tue Apr 22 09:37:03 2025 BLanczosTime: 4586
- Tue Apr 22 09:37:03 2025
- Tue Apr 22 09:37:03 2025 commencing square root phase
- Tue Apr 22 09:37:03 2025 handling dependencies 1 to 64
- Tue Apr 22 09:37:03 2025 reading relations for dependency 1
- Tue Apr 22 09:37:03 2025 read 2349105 cycles
- Tue Apr 22 09:37:06 2025 cycles contain 7734678 unique relations
- Tue Apr 22 09:38:47 2025 read 7734678 relations
- Tue Apr 22 09:39:10 2025 multiplying 7734678 relations
- Tue Apr 22 09:42:11 2025 multiply complete, coefficients have about 409.83 million bits
- Tue Apr 22 09:42:11 2025 initial square root is modulo 22578613
- Tue Apr 22 09:44:16 2025 sqrtTime: 433
- Tue Apr 22 09:44:16 2025 p52 factor: 8572725574216441879904863500231661792006460334895259
- Tue Apr 22 09:44:16 2025 p109 factor: 1949305396080704739741508578551255423909840130854849054332669406282717987194677830701142883982922784985425887
- Tue Apr 22 09:44:16 2025 elapsed time 01:23:40
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