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- Fri Jul 19 20:55:49 2019
- Fri Jul 19 20:55:49 2019
- Fri Jul 19 20:55:49 2019 Msieve v. 1.53 (SVN 988M)
- Fri Jul 19 20:55:49 2019 random seeds: 6db71815 001a3927
- Fri Jul 19 20:55:49 2019 factoring 4046444315752527457408271607532038345173735743894708403987768844404968433034688318373385176748034682087178881159781563890728854413259455822017687001245574592041 (160 digits)
- Fri Jul 19 20:55:49 2019 searching for 15-digit factors
- Fri Jul 19 20:55:50 2019 commencing number field sieve (160-digit input)
- Fri Jul 19 20:55:50 2019 R0: -6890178844101496834463103251835
- Fri Jul 19 20:55:50 2019 R1: 2877433859984401
- Fri Jul 19 20:55:50 2019 A0: 18646991625402779895444388379892767844496
- Fri Jul 19 20:55:50 2019 A1: 2419683683602074424232694628033652
- Fri Jul 19 20:55:50 2019 A2: -2147262760975953357615064360
- Fri Jul 19 20:55:50 2019 A3: 36823283800602489325
- Fri Jul 19 20:55:50 2019 A4: 21478246659414
- Fri Jul 19 20:55:50 2019 A5: 260568
- Fri Jul 19 20:55:50 2019 skew 1.00, size 1.524e-15, alpha -8.830, combined = 6.725e-15 rroots = 5
- Fri Jul 19 20:55:50 2019
- Fri Jul 19 20:55:50 2019 commencing relation filtering
- Fri Jul 19 20:55:50 2019 setting target matrix density to 130.0
- Fri Jul 19 20:55:50 2019 estimated available RAM is 32768.0 MB
- Fri Jul 19 20:55:50 2019 commencing duplicate removal, pass 1
- Fri Jul 19 21:00:23 2019 error -15 reading relation 44865370
- Fri Jul 19 21:06:19 2019 found 4789000 hash collisions in 104672250 relations
- Fri Jul 19 21:06:41 2019 added 121915 free relations
- Fri Jul 19 21:06:41 2019 commencing duplicate removal, pass 2
- Fri Jul 19 21:07:04 2019 found 1 duplicates and 104794164 unique relations
- Fri Jul 19 21:07:04 2019 memory use: 261.2 MB
- Fri Jul 19 21:07:04 2019 reading ideals above 720000
- Fri Jul 19 21:07:04 2019 commencing singleton removal, initial pass
- Fri Jul 19 21:16:36 2019 memory use: 2756.0 MB
- Fri Jul 19 21:16:36 2019 reading all ideals from disk
- Fri Jul 19 21:16:38 2019 memory use: 3890.6 MB
- Fri Jul 19 21:16:45 2019 keeping 90910122 ideals with weight <= 200, target excess is 545637
- Fri Jul 19 21:16:53 2019 commencing in-memory singleton removal
- Fri Jul 19 21:17:00 2019 begin with 104794164 relations and 90910122 unique ideals
- Fri Jul 19 21:18:00 2019 reduce to 71488531 relations and 54483714 ideals in 12 passes
- Fri Jul 19 21:18:00 2019 max relations containing the same ideal: 163
- Fri Jul 19 21:18:23 2019 removing 8339383 relations and 6339383 ideals in 2000000 cliques
- Fri Jul 19 21:18:26 2019 commencing in-memory singleton removal
- Fri Jul 19 21:18:30 2019 begin with 63149148 relations and 54483714 unique ideals
- Fri Jul 19 21:18:58 2019 reduce to 62397569 relations and 47366969 ideals in 7 passes
- Fri Jul 19 21:18:58 2019 max relations containing the same ideal: 152
- Fri Jul 19 21:19:19 2019 removing 6590995 relations and 4590995 ideals in 2000000 cliques
- Fri Jul 19 21:19:21 2019 commencing in-memory singleton removal
- Fri Jul 19 21:19:24 2019 begin with 55806574 relations and 47366969 unique ideals
- Fri Jul 19 21:19:49 2019 reduce to 55280049 relations and 42233015 ideals in 7 passes
- Fri Jul 19 21:19:49 2019 max relations containing the same ideal: 142
- Fri Jul 19 21:20:08 2019 removing 6129270 relations and 4129270 ideals in 2000000 cliques
- Fri Jul 19 21:20:10 2019 commencing in-memory singleton removal
- Fri Jul 19 21:20:13 2019 begin with 49150779 relations and 42233015 unique ideals
- Fri Jul 19 21:20:34 2019 reduce to 48676008 relations and 37613457 ideals in 7 passes
- Fri Jul 19 21:20:34 2019 max relations containing the same ideal: 129
- Fri Jul 19 21:20:51 2019 removing 5897423 relations and 3897423 ideals in 2000000 cliques
- Fri Jul 19 21:20:53 2019 commencing in-memory singleton removal
- Fri Jul 19 21:20:55 2019 begin with 42778585 relations and 37613457 unique ideals
- Fri Jul 19 21:21:14 2019 reduce to 42310007 relations and 33230396 ideals in 7 passes
- Fri Jul 19 21:21:14 2019 max relations containing the same ideal: 117
- Fri Jul 19 21:21:29 2019 removing 5757718 relations and 3757718 ideals in 2000000 cliques
- Fri Jul 19 21:21:31 2019 commencing in-memory singleton removal
- Fri Jul 19 21:21:32 2019 begin with 36552289 relations and 33230396 unique ideals
- Fri Jul 19 21:21:48 2019 reduce to 36064062 relations and 28964669 ideals in 7 passes
- Fri Jul 19 21:21:48 2019 max relations containing the same ideal: 103
- Fri Jul 19 21:22:01 2019 removing 5671104 relations and 3671104 ideals in 2000000 cliques
- Fri Jul 19 21:22:02 2019 commencing in-memory singleton removal
- Fri Jul 19 21:22:04 2019 begin with 30392958 relations and 28964669 unique ideals
- Fri Jul 19 21:22:18 2019 reduce to 29861324 relations and 24737214 ideals in 8 passes
- Fri Jul 19 21:22:18 2019 max relations containing the same ideal: 94
- Fri Jul 19 21:22:29 2019 removing 5609819 relations and 3609819 ideals in 2000000 cliques
- Fri Jul 19 21:22:30 2019 commencing in-memory singleton removal
- Fri Jul 19 21:22:31 2019 begin with 24251505 relations and 24737214 unique ideals
- Fri Jul 19 21:22:43 2019 reduce to 23646093 relations and 20487504 ideals in 8 passes
- Fri Jul 19 21:22:43 2019 max relations containing the same ideal: 82
- Fri Jul 19 21:22:51 2019 removing 5568015 relations and 3568015 ideals in 2000000 cliques
- Fri Jul 19 21:22:52 2019 commencing in-memory singleton removal
- Fri Jul 19 21:22:53 2019 begin with 18078078 relations and 20487504 unique ideals
- Fri Jul 19 21:23:03 2019 reduce to 17340525 relations and 16129110 ideals in 9 passes
- Fri Jul 19 21:23:03 2019 max relations containing the same ideal: 65
- Fri Jul 19 21:23:09 2019 removing 2016958 relations and 1438482 ideals in 578476 cliques
- Fri Jul 19 21:23:10 2019 commencing in-memory singleton removal
- Fri Jul 19 21:23:10 2019 begin with 15323567 relations and 16129110 unique ideals
- Fri Jul 19 21:23:17 2019 reduce to 15148837 relations and 14510685 ideals in 7 passes
- Fri Jul 19 21:23:17 2019 max relations containing the same ideal: 58
- Fri Jul 19 21:23:23 2019 relations with 0 large ideals: 1753
- Fri Jul 19 21:23:23 2019 relations with 1 large ideals: 13592
- Fri Jul 19 21:23:23 2019 relations with 2 large ideals: 171687
- Fri Jul 19 21:23:23 2019 relations with 3 large ideals: 910265
- Fri Jul 19 21:23:23 2019 relations with 4 large ideals: 2517354
- Fri Jul 19 21:23:23 2019 relations with 5 large ideals: 4029779
- Fri Jul 19 21:23:23 2019 relations with 6 large ideals: 3969731
- Fri Jul 19 21:23:23 2019 relations with 7+ large ideals: 3534676
- Fri Jul 19 21:23:23 2019 commencing 2-way merge
- Fri Jul 19 21:23:31 2019 reduce to 10088061 relation sets and 9449909 unique ideals
- Fri Jul 19 21:23:31 2019 commencing full merge
- Fri Jul 19 21:26:32 2019 memory use: 1218.9 MB
- Fri Jul 19 21:26:34 2019 found 4498972 cycles, need 4450109
- Fri Jul 19 21:26:34 2019 weight of 4450109 cycles is about 579336785 (130.18/cycle)
- Fri Jul 19 21:26:34 2019 distribution of cycle lengths:
- Fri Jul 19 21:26:34 2019 1 relations: 86542
- Fri Jul 19 21:26:34 2019 2 relations: 210631
- Fri Jul 19 21:26:34 2019 3 relations: 277458
- Fri Jul 19 21:26:34 2019 4 relations: 306097
- Fri Jul 19 21:26:34 2019 5 relations: 328441
- Fri Jul 19 21:26:34 2019 6 relations: 335257
- Fri Jul 19 21:26:34 2019 7 relations: 337122
- Fri Jul 19 21:26:34 2019 8 relations: 326976
- Fri Jul 19 21:26:34 2019 9 relations: 310471
- Fri Jul 19 21:26:34 2019 10+ relations: 1931114
- Fri Jul 19 21:26:34 2019 heaviest cycle: 28 relations
- Fri Jul 19 21:26:36 2019 commencing cycle optimization
- Fri Jul 19 21:26:45 2019 start with 41587821 relations
- Fri Jul 19 21:28:25 2019 pruned 2236986 relations
- Fri Jul 19 21:28:25 2019 memory use: 1053.9 MB
- Fri Jul 19 21:28:25 2019 distribution of cycle lengths:
- Fri Jul 19 21:28:25 2019 1 relations: 86542
- Fri Jul 19 21:28:25 2019 2 relations: 217294
- Fri Jul 19 21:28:25 2019 3 relations: 291676
- Fri Jul 19 21:28:25 2019 4 relations: 322066
- Fri Jul 19 21:28:25 2019 5 relations: 349236
- Fri Jul 19 21:28:25 2019 6 relations: 356344
- Fri Jul 19 21:28:25 2019 7 relations: 360623
- Fri Jul 19 21:28:25 2019 8 relations: 347461
- Fri Jul 19 21:28:25 2019 9 relations: 329092
- Fri Jul 19 21:28:25 2019 10+ relations: 1789775
- Fri Jul 19 21:28:25 2019 heaviest cycle: 28 relations
- Fri Jul 19 21:28:34 2019 RelProcTime: 1964
- Fri Jul 19 21:28:34 2019
- Fri Jul 19 21:28:34 2019 commencing linear algebra
- Fri Jul 19 21:28:35 2019 read 4450109 cycles
- Fri Jul 19 21:28:44 2019 cycles contain 14817426 unique relations
- Fri Jul 19 21:29:42 2019 read 14817426 relations
- Fri Jul 19 21:30:08 2019 using 20 quadratic characters above 4294917295
- Fri Jul 19 21:31:01 2019 building initial matrix
- Fri Jul 19 21:33:39 2019 memory use: 2061.2 MB
- Fri Jul 19 21:33:43 2019 read 4450109 cycles
- Fri Jul 19 21:33:43 2019 matrix is 4449931 x 4450109 (2228.6 MB) with weight 682086378 (153.27/col)
- Fri Jul 19 21:33:43 2019 sparse part has weight 530802008 (119.28/col)
- Fri Jul 19 21:34:27 2019 filtering completed in 2 passes
- Fri Jul 19 21:34:28 2019 matrix is 4449838 x 4450016 (2228.5 MB) with weight 682081268 (153.28/col)
- Fri Jul 19 21:34:28 2019 sparse part has weight 530800173 (119.28/col)
- Fri Jul 19 21:34:42 2019 matrix starts at (0, 0)
- Fri Jul 19 21:34:43 2019 matrix is 4449838 x 4450016 (2228.5 MB) with weight 682081268 (153.28/col)
- Fri Jul 19 21:34:43 2019 sparse part has weight 530800173 (119.28/col)
- Fri Jul 19 21:34:43 2019 saving the first 48 matrix rows for later
- Fri Jul 19 21:34:43 2019 matrix includes 64 packed rows
- Fri Jul 19 21:34:44 2019 matrix is 4449790 x 4450016 (2171.4 MB) with weight 587803022 (132.09/col)
- Fri Jul 19 21:34:44 2019 sparse part has weight 524713481 (117.91/col)
- Fri Jul 19 21:34:44 2019 using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
- Fri Jul 19 21:35:08 2019 commencing Lanczos iteration (8 threads)
- Fri Jul 19 21:35:08 2019 memory use: 1787.4 MB
- Fri Jul 19 21:35:15 2019 linear algebra at 0.0%, ETA 5h40m
- Fri Jul 19 21:35:18 2019 checkpointing every 730000 dimensions
- Sat Jul 20 03:30:30 2019 lanczos halted after 70370 iterations (dim = 4449788)
- Sat Jul 20 03:30:34 2019 recovered 28 nontrivial dependencies
- Sat Jul 20 03:30:35 2019 BLanczosTime: 21721
- Sat Jul 20 03:30:35 2019
- Sat Jul 20 03:30:35 2019 commencing square root phase
- Sat Jul 20 03:30:35 2019 handling dependencies 1 to 64
- Sat Jul 20 03:30:35 2019 reading relations for dependency 1
- Sat Jul 20 03:30:36 2019 read 2224975 cycles
- Sat Jul 20 03:30:40 2019 cycles contain 7407828 unique relations
- Sat Jul 20 03:31:12 2019 read 7407828 relations
- Sat Jul 20 03:31:41 2019 multiplying 7407828 relations
- Sat Jul 20 03:37:20 2019 multiply complete, coefficients have about 414.47 million bits
- Sat Jul 20 03:37:22 2019 initial square root is modulo 27347027
- Sat Jul 20 03:43:49 2019 sqrtTime: 794
- Sat Jul 20 03:43:49 2019 p60 factor: 234800299026671155072646032031515458631011882292055207011861
- Sat Jul 20 03:43:49 2019 p101 factor: 17233556909963256003389378286365914922607842149146256671371171644877474132020169377219543663600093381
- Sat Jul 20 03:43:49 2019 elapsed time 06:48:00
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