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__Sign Up__- Fri Sep 17 15:18:33 2021 Msieve v. 1.54 (SVN 1043M)
- Fri Sep 17 15:18:33 2021 random seeds: f10f9663 2d1c92e1
- Fri Sep 17 15:18:33 2021 factoring 164241541431265272569267877552540165869627795344823034328783813195952071382600118166450295777431645519724926937900407677579689803026664841957353851352632806256123517737253 (171 digits)
- Fri Sep 17 15:18:33 2021 searching for 15-digit factors
- Fri Sep 17 15:18:34 2021 commencing number field sieve (171-digit input)
- Fri Sep 17 15:18:34 2021 R0: -1478391922591058121842930556805869
- Fri Sep 17 15:18:34 2021 R1: 636081907623596483
- Fri Sep 17 15:18:34 2021 A0: 198004049885750671578604189620828838741400
- Fri Sep 17 15:18:34 2021 A1: -76684113757214414850807070774411878
- Fri Sep 17 15:18:34 2021 A2: -11959068736638988739800963829
- Fri Sep 17 15:18:34 2021 A3: -394510756235337899568
- Fri Sep 17 15:18:34 2021 A4: 10987237471014
- Fri Sep 17 15:18:34 2021 A5: 23256
- Fri Sep 17 15:18:34 2021 skew 37679947.28, size 1.137e-16, alpha -7.244, combined = 3.062e-13 rroots = 3
- Fri Sep 17 15:18:34 2021
- Fri Sep 17 15:18:34 2021 commencing relation filtering
- Fri Sep 17 15:18:34 2021 setting target matrix density to 140.0
- Fri Sep 17 15:18:34 2021 estimated available RAM is 15745.0 MB
- Fri Sep 17 15:18:34 2021 commencing duplicate removal, pass 1
- Fri Sep 17 16:30:42 2021 skipped 52 relations with composite factors
- Fri Sep 17 16:30:42 2021 found 43107728 hash collisions in 256864238 relations
- Fri Sep 17 16:31:16 2021 added 121986 free relations
- Fri Sep 17 16:31:16 2021 commencing duplicate removal, pass 2
- Fri Sep 17 17:10:40 2021 found 37986617 duplicates and 218999607 unique relations
- Fri Sep 17 17:10:40 2021 memory use: 1321.5 MB
- Fri Sep 17 17:10:40 2021 reading ideals above 119996416
- Fri Sep 17 17:10:40 2021 commencing singleton removal, initial pass
- Fri Sep 17 18:08:39 2021 memory use: 5512.0 MB
- Fri Sep 17 18:08:39 2021 reading all ideals from disk
- Fri Sep 17 18:11:12 2021 memory use: 3801.4 MB
- Fri Sep 17 18:11:25 2021 commencing in-memory singleton removal
- Fri Sep 17 18:11:37 2021 begin with 218999607 relations and 166408313 unique ideals
- Fri Sep 17 18:13:52 2021 reduce to 159158028 relations and 101649448 ideals in 12 passes
- Fri Sep 17 18:13:52 2021 max relations containing the same ideal: 61
- Fri Sep 17 18:14:04 2021 reading ideals above 720000
- Fri Sep 17 18:14:05 2021 commencing singleton removal, initial pass
- Fri Sep 17 19:11:23 2021 memory use: 3012.0 MB
- Fri Sep 17 19:11:24 2021 reading all ideals from disk
- Fri Sep 17 19:15:44 2021 memory use: 6329.3 MB
- Fri Sep 17 19:16:06 2021 keeping 114466422 ideals with weight <= 200, target excess is 864152
- Fri Sep 17 19:16:33 2021 commencing in-memory singleton removal
- Fri Sep 17 19:16:51 2021 begin with 159158028 relations and 114466422 unique ideals
- Fri Sep 17 19:18:39 2021 reduce to 159157865 relations and 114466259 ideals in 4 passes
- Fri Sep 17 19:18:39 2021 max relations containing the same ideal: 200
- Fri Sep 17 19:20:10 2021 removing 9248060 relations and 7248060 ideals in 2000000 cliques
- Fri Sep 17 19:20:19 2021 commencing in-memory singleton removal
- Fri Sep 17 19:20:37 2021 begin with 149909805 relations and 114466259 unique ideals
- Fri Sep 17 19:22:50 2021 reduce to 149501260 relations and 106803118 ideals in 7 passes
- Fri Sep 17 19:22:50 2021 max relations containing the same ideal: 199
- Fri Sep 17 19:24:05 2021 removing 7099118 relations and 5099118 ideals in 2000000 cliques
- Fri Sep 17 19:24:11 2021 commencing in-memory singleton removal
- Fri Sep 17 19:24:25 2021 begin with 142402142 relations and 106803118 unique ideals
- Fri Sep 17 19:26:21 2021 reduce to 142126370 relations and 101424389 ideals in 7 passes
- Fri Sep 17 19:26:21 2021 max relations containing the same ideal: 196
- Fri Sep 17 19:27:30 2021 removing 6497545 relations and 4497545 ideals in 2000000 cliques
- Fri Sep 17 19:27:35 2021 commencing in-memory singleton removal
- Fri Sep 17 19:27:49 2021 begin with 135628825 relations and 101424389 unique ideals
- Fri Sep 17 19:29:18 2021 reduce to 135391428 relations and 96686240 ideals in 6 passes
- Fri Sep 17 19:29:18 2021 max relations containing the same ideal: 190
- Fri Sep 17 19:30:24 2021 removing 6178675 relations and 4178675 ideals in 2000000 cliques
- Fri Sep 17 19:30:30 2021 commencing in-memory singleton removal
- Fri Sep 17 19:30:44 2021 begin with 129212753 relations and 96686240 unique ideals
- Fri Sep 17 19:32:49 2021 reduce to 128996387 relations and 92288266 ideals in 7 passes
- Fri Sep 17 19:32:49 2021 max relations containing the same ideal: 185
- Fri Sep 17 19:34:06 2021 removing 5976744 relations and 3976744 ideals in 2000000 cliques
- Fri Sep 17 19:34:13 2021 commencing in-memory singleton removal
- Fri Sep 17 19:34:27 2021 begin with 123019643 relations and 92288266 unique ideals
- Fri Sep 17 19:36:06 2021 reduce to 122816040 relations and 88104818 ideals in 6 passes
- Fri Sep 17 19:36:06 2021 max relations containing the same ideal: 179
- Fri Sep 17 19:37:10 2021 removing 5834098 relations and 3834098 ideals in 2000000 cliques
- Fri Sep 17 19:37:15 2021 commencing in-memory singleton removal
- Fri Sep 17 19:37:26 2021 begin with 116981942 relations and 88104818 unique ideals
- Fri Sep 17 19:38:59 2021 reduce to 116784793 relations and 84070484 ideals in 6 passes
- Fri Sep 17 19:38:59 2021 max relations containing the same ideal: 174
- Fri Sep 17 19:39:59 2021 removing 5724301 relations and 3724301 ideals in 2000000 cliques
- Fri Sep 17 19:40:04 2021 commencing in-memory singleton removal
- Fri Sep 17 19:40:15 2021 begin with 111060492 relations and 84070484 unique ideals
- Fri Sep 17 19:41:27 2021 reduce to 110866132 relations and 80148735 ideals in 6 passes
- Fri Sep 17 19:41:27 2021 max relations containing the same ideal: 170
- Fri Sep 17 19:42:24 2021 removing 5641530 relations and 3641530 ideals in 2000000 cliques
- Fri Sep 17 19:42:29 2021 commencing in-memory singleton removal
- Fri Sep 17 19:42:39 2021 begin with 105224602 relations and 80148735 unique ideals
- Fri Sep 17 19:43:58 2021 reduce to 105030273 relations and 76309638 ideals in 6 passes
- Fri Sep 17 19:43:58 2021 max relations containing the same ideal: 165
- Fri Sep 17 19:44:51 2021 removing 5574445 relations and 3574445 ideals in 2000000 cliques
- Fri Sep 17 19:44:57 2021 commencing in-memory singleton removal
- Fri Sep 17 19:45:07 2021 begin with 99455828 relations and 76309638 unique ideals
- Fri Sep 17 19:46:11 2021 reduce to 99260393 relations and 72536341 ideals in 6 passes
- Fri Sep 17 19:46:11 2021 max relations containing the same ideal: 158
- Fri Sep 17 19:47:03 2021 removing 5526139 relations and 3526139 ideals in 2000000 cliques
- Fri Sep 17 19:47:08 2021 commencing in-memory singleton removal
- Fri Sep 17 19:47:16 2021 begin with 93734254 relations and 72536341 unique ideals
- Fri Sep 17 19:48:44 2021 reduce to 93535200 relations and 68807305 ideals in 6 passes
- Fri Sep 17 19:48:44 2021 max relations containing the same ideal: 154
- Fri Sep 17 19:49:37 2021 removing 5484852 relations and 3484852 ideals in 2000000 cliques
- Fri Sep 17 19:49:42 2021 commencing in-memory singleton removal
- Fri Sep 17 19:49:50 2021 begin with 88050348 relations and 68807305 unique ideals
- Fri Sep 17 19:51:12 2021 reduce to 87846710 relations and 65114733 ideals in 6 passes
- Fri Sep 17 19:51:12 2021 max relations containing the same ideal: 144
- Fri Sep 17 19:52:05 2021 removing 5455184 relations and 3455184 ideals in 2000000 cliques
- Fri Sep 17 19:52:10 2021 commencing in-memory singleton removal
- Fri Sep 17 19:52:17 2021 begin with 82391526 relations and 65114733 unique ideals
- Fri Sep 17 19:53:08 2021 reduce to 82180473 relations and 61443930 ideals in 6 passes
- Fri Sep 17 19:53:08 2021 max relations containing the same ideal: 139
- Fri Sep 17 19:53:52 2021 removing 5432800 relations and 3432800 ideals in 2000000 cliques
- Fri Sep 17 19:53:56 2021 commencing in-memory singleton removal
- Fri Sep 17 19:54:04 2021 begin with 76747673 relations and 61443930 unique ideals
- Fri Sep 17 19:55:06 2021 reduce to 76527272 relations and 57785809 ideals in 6 passes
- Fri Sep 17 19:55:06 2021 max relations containing the same ideal: 133
- Fri Sep 17 19:55:47 2021 removing 5421774 relations and 3421774 ideals in 2000000 cliques
- Fri Sep 17 19:55:52 2021 commencing in-memory singleton removal
- Fri Sep 17 19:55:59 2021 begin with 71105498 relations and 57785809 unique ideals
- Fri Sep 17 19:56:43 2021 reduce to 70872496 relations and 54125473 ideals in 6 passes
- Fri Sep 17 19:56:43 2021 max relations containing the same ideal: 126
- Fri Sep 17 19:57:19 2021 removing 5418922 relations and 3418922 ideals in 2000000 cliques
- Fri Sep 17 19:57:23 2021 commencing in-memory singleton removal
- Fri Sep 17 19:57:30 2021 begin with 65453574 relations and 54125473 unique ideals
- Fri Sep 17 19:58:16 2021 reduce to 65206046 relations and 50452769 ideals in 7 passes
- Fri Sep 17 19:58:16 2021 max relations containing the same ideal: 121
- Fri Sep 17 19:58:47 2021 removing 5424329 relations and 3424329 ideals in 2000000 cliques
- Fri Sep 17 19:58:51 2021 commencing in-memory singleton removal
- Fri Sep 17 19:58:56 2021 begin with 59781717 relations and 50452769 unique ideals
- Fri Sep 17 19:59:30 2021 reduce to 59514187 relations and 46753645 ideals in 6 passes
- Fri Sep 17 19:59:30 2021 max relations containing the same ideal: 118
- Fri Sep 17 20:00:01 2021 removing 5437305 relations and 3437305 ideals in 2000000 cliques
- Fri Sep 17 20:00:04 2021 commencing in-memory singleton removal
- Fri Sep 17 20:00:09 2021 begin with 54076882 relations and 46753645 unique ideals
- Fri Sep 17 20:00:43 2021 reduce to 53783414 relations and 43014415 ideals in 6 passes
- Fri Sep 17 20:00:43 2021 max relations containing the same ideal: 106
- Fri Sep 17 20:01:10 2021 removing 5463941 relations and 3463941 ideals in 2000000 cliques
- Fri Sep 17 20:01:13 2021 commencing in-memory singleton removal
- Fri Sep 17 20:01:17 2021 begin with 48319473 relations and 43014415 unique ideals
- Fri Sep 17 20:01:47 2021 reduce to 47995490 relations and 39216230 ideals in 6 passes
- Fri Sep 17 20:01:47 2021 max relations containing the same ideal: 97
- Fri Sep 17 20:02:14 2021 removing 5502644 relations and 3502644 ideals in 2000000 cliques
- Fri Sep 17 20:02:17 2021 commencing in-memory singleton removal
- Fri Sep 17 20:02:21 2021 begin with 42492846 relations and 39216230 unique ideals
- Fri Sep 17 20:02:49 2021 reduce to 42126759 relations and 35334581 ideals in 7 passes
- Fri Sep 17 20:02:49 2021 max relations containing the same ideal: 88
- Fri Sep 17 20:03:16 2021 removing 5552863 relations and 3552863 ideals in 2000000 cliques
- Fri Sep 17 20:03:20 2021 commencing in-memory singleton removal
- Fri Sep 17 20:03:23 2021 begin with 36573896 relations and 35334581 unique ideals
- Fri Sep 17 20:03:59 2021 reduce to 36149333 relations and 31340571 ideals in 7 passes
- Fri Sep 17 20:03:59 2021 max relations containing the same ideal: 80
- Fri Sep 17 20:04:20 2021 removing 5616648 relations and 3616648 ideals in 2000000 cliques
- Fri Sep 17 20:04:23 2021 commencing in-memory singleton removal
- Fri Sep 17 20:04:25 2021 begin with 30532685 relations and 31340571 unique ideals
- Fri Sep 17 20:04:49 2021 reduce to 30026361 relations and 27194672 ideals in 7 passes
- Fri Sep 17 20:04:49 2021 max relations containing the same ideal: 72
- Fri Sep 17 20:05:07 2021 removing 5280437 relations and 3451165 ideals in 1829272 cliques
- Fri Sep 17 20:05:10 2021 commencing in-memory singleton removal
- Fri Sep 17 20:05:12 2021 begin with 24745924 relations and 27194672 unique ideals
- Fri Sep 17 20:05:39 2021 reduce to 24185569 relations and 23155078 ideals in 8 passes
- Fri Sep 17 20:05:39 2021 max relations containing the same ideal: 62
- Fri Sep 17 20:05:55 2021 removing 162210 relations and 134136 ideals in 28074 cliques
- Fri Sep 17 20:05:57 2021 commencing in-memory singleton removal
- Fri Sep 17 20:05:59 2021 begin with 24023359 relations and 23155078 unique ideals
- Fri Sep 17 20:06:13 2021 reduce to 24022561 relations and 23020143 ideals in 4 passes
- Fri Sep 17 20:06:13 2021 max relations containing the same ideal: 61
- Fri Sep 17 20:06:19 2021 relations with 0 large ideals: 2774
- Fri Sep 17 20:06:19 2021 relations with 1 large ideals: 16660
- Fri Sep 17 20:06:19 2021 relations with 2 large ideals: 220718
- Fri Sep 17 20:06:19 2021 relations with 3 large ideals: 1235035
- Fri Sep 17 20:06:19 2021 relations with 4 large ideals: 3598484
- Fri Sep 17 20:06:19 2021 relations with 5 large ideals: 6082751
- Fri Sep 17 20:06:19 2021 relations with 6 large ideals: 6392747
- Fri Sep 17 20:06:19 2021 relations with 7+ large ideals: 6473392
- Fri Sep 17 20:06:19 2021 commencing 2-way merge
- Fri Sep 17 20:06:38 2021 reduce to 16060454 relation sets and 15058036 unique ideals
- Fri Sep 17 20:06:39 2021 commencing full merge
- Fri Sep 17 20:15:28 2021 memory use: 2014.9 MB
- Fri Sep 17 20:15:30 2021 found 7093610 cycles, need 7048236
- Fri Sep 17 20:15:32 2021 weight of 7048236 cycles is about 986995187 (140.03/cycle)
- Fri Sep 17 20:15:32 2021 distribution of cycle lengths:
- Fri Sep 17 20:15:32 2021 1 relations: 115159
- Fri Sep 17 20:15:32 2021 2 relations: 299453
- Fri Sep 17 20:15:32 2021 3 relations: 399482
- Fri Sep 17 20:15:32 2021 4 relations: 449344
- Fri Sep 17 20:15:32 2021 5 relations: 496432
- Fri Sep 17 20:15:32 2021 6 relations: 515529
- Fri Sep 17 20:15:32 2021 7 relations: 523875
- Fri Sep 17 20:15:32 2021 8 relations: 512392
- Fri Sep 17 20:15:32 2021 9 relations: 491255
- Fri Sep 17 20:15:32 2021 10+ relations: 3245315
- Fri Sep 17 20:15:32 2021 heaviest cycle: 28 relations
- Fri Sep 17 20:15:35 2021 commencing cycle optimization
- Fri Sep 17 20:15:50 2021 start with 68970901 relations
- Fri Sep 17 20:19:25 2021 pruned 4037475 relations
- Fri Sep 17 20:19:25 2021 memory use: 1703.0 MB
- Fri Sep 17 20:19:25 2021 distribution of cycle lengths:
- Fri Sep 17 20:19:25 2021 1 relations: 115159
- Fri Sep 17 20:19:25 2021 2 relations: 308853
- Fri Sep 17 20:19:25 2021 3 relations: 419481
- Fri Sep 17 20:19:25 2021 4 relations: 474063
- Fri Sep 17 20:19:25 2021 5 relations: 529582
- Fri Sep 17 20:19:25 2021 6 relations: 551074
- Fri Sep 17 20:19:25 2021 7 relations: 563327
- Fri Sep 17 20:19:25 2021 8 relations: 549991
- Fri Sep 17 20:19:25 2021 9 relations: 525570
- Fri Sep 17 20:19:25 2021 10+ relations: 3011136
- Fri Sep 17 20:19:25 2021 heaviest cycle: 28 relations
- Fri Sep 17 20:19:41 2021 RelProcTime: 18067
- Fri Sep 17 20:19:41 2021 elapsed time 05:01:08
- Sat Sep 18 01:03:15 2021 Msieve v. 1.52 (SVN exported)
- Sat Sep 18 01:03:15 2021 random seeds: adb6c733 aeaaf398
- Sat Sep 18 01:03:15 2021 factoring 164241541431265272569267877552540165869627795344823034328783813195952071382600118166450295777431645519724926937900407677579689803026664841957353851352632806256123517737253 (171 digits)
- Sat Sep 18 01:03:16 2021 searching for 15-digit factors
- Sat Sep 18 01:03:19 2021 commencing number field sieve (171-digit input)
- Sat Sep 18 01:03:19 2021 R0: -1478391922591058121842930556805869
- Sat Sep 18 01:03:19 2021 R1: 636081907623596483
- Sat Sep 18 01:03:19 2021 A0: 198004049885750671578604189620828838741400
- Sat Sep 18 01:03:19 2021 A1: -76684113757214414850807070774411878
- Sat Sep 18 01:03:19 2021 A2: -11959068736638988739800963829
- Sat Sep 18 01:03:19 2021 A3: -394510756235337899568
- Sat Sep 18 01:03:19 2021 A4: 10987237471014
- Sat Sep 18 01:03:19 2021 A5: 23256
- Sat Sep 18 01:03:19 2021 skew 37679947.28, size 1.137e-16, alpha -7.244, combined = 3.062e-13 rroots = 3
- Sat Sep 18 01:03:19 2021
- Sat Sep 18 01:03:19 2021 commencing linear algebra
- Sat Sep 18 01:03:19 2021 skipping matrix build
- Sat Sep 18 01:03:41 2021 matrix starts at (0, 0)
- Sat Sep 18 01:03:45 2021 matrix is 7047978 x 7048157 (3758.1 MB) with weight 1145048072 (162.46/col)
- Sat Sep 18 01:03:45 2021 sparse part has weight 900577620 (127.77/col)
- Sat Sep 18 01:03:45 2021 saving the first 48 matrix rows for later
- Sat Sep 18 01:03:48 2021 matrix includes 64 packed rows
- Sat Sep 18 01:03:50 2021 matrix is 7047930 x 7048157 (3671.0 MB) with weight 995737653 (141.28/col)
- Sat Sep 18 01:03:50 2021 sparse part has weight 891855030 (126.54/col)
- Sat Sep 18 01:03:50 2021 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
- Sat Sep 18 01:04:59 2021 commencing Lanczos iteration (4 threads)
- Sat Sep 18 01:04:59 2021 memory use: 3087.5 MB
- Sat Sep 18 01:06:05 2021 linear algebra at 0.0%, ETA 79h50m
- Sat Sep 18 01:06:26 2021 checkpointing every 90000 dimensions
- Tue Sep 21 17:51:27 2021 lanczos halted after 111456 iterations (dim = 7047927)
- Tue Sep 21 17:51:40 2021 recovered 29 nontrivial dependencies
- Tue Sep 21 17:51:41 2021 BLanczosTime: 319702
- Tue Sep 21 17:51:41 2021 elapsed time 88:48:26
- Tue Sep 21 15:32:35 2021 Msieve v. 1.54 (SVN 1043M)
- Tue Sep 21 15:32:35 2021 random seeds: a63cc9b9 31fa4b99
- Tue Sep 21 15:32:35 2021 factoring 164241541431265272569267877552540165869627795344823034328783813195952071382600118166450295777431645519724926937900407677579689803026664841957353851352632806256123517737253 (171 digits)
- Tue Sep 21 15:32:36 2021 searching for 15-digit factors
- Tue Sep 21 15:32:36 2021 commencing number field sieve (171-digit input)
- Tue Sep 21 15:32:36 2021 R0: -1478391922591058121842930556805869
- Tue Sep 21 15:32:36 2021 R1: 636081907623596483
- Tue Sep 21 15:32:36 2021 A0: 198004049885750671578604189620828838741400
- Tue Sep 21 15:32:36 2021 A1: -76684113757214414850807070774411878
- Tue Sep 21 15:32:36 2021 A2: -11959068736638988739800963829
- Tue Sep 21 15:32:36 2021 A3: -394510756235337899568
- Tue Sep 21 15:32:36 2021 A4: 10987237471014
- Tue Sep 21 15:32:36 2021 A5: 23256
- Tue Sep 21 15:32:36 2021 skew 37679947.28, size 1.137e-16, alpha -7.244, combined = 3.062e-13 rroots = 3
- Tue Sep 21 15:32:36 2021
- Tue Sep 21 15:32:36 2021 commencing square root phase
- Tue Sep 21 15:32:36 2021 reading relations for dependency 1
- Tue Sep 21 15:32:58 2021 read 3524881 cycles
- Tue Sep 21 15:33:08 2021 cycles contain 11780584 unique relations
- Tue Sep 21 16:11:47 2021 read 11780584 relations
- Tue Sep 21 16:13:01 2021 multiplying 11780584 relations
- Tue Sep 21 16:28:14 2021 multiply complete, coefficients have about 653.45 million bits
- Tue Sep 21 16:28:17 2021 initial square root is modulo 728681
- Tue Sep 21 16:45:06 2021 GCD is N, no factor found
- Tue Sep 21 16:45:06 2021 reading relations for dependency 2
- Tue Sep 21 16:45:31 2021 read 3524877 cycles
- Tue Sep 21 16:45:40 2021 cycles contain 11782826 unique relations
- Tue Sep 21 17:24:20 2021 read 11782826 relations
- Tue Sep 21 17:25:48 2021 multiplying 11782826 relations
- Tue Sep 21 17:40:28 2021 multiply complete, coefficients have about 653.56 million bits
- Tue Sep 21 17:40:33 2021 initial square root is modulo 730283
- Tue Sep 21 17:57:36 2021 sqrtTime: 8700
- Tue Sep 21 17:57:36 2021 p57 factor: 834459494262399347843783446136138912362748967694633364003
- Tue Sep 21 17:57:36 2021 p114 factor: 196823863303805635888966587058858626730103046748518778184422895253160243637406336153834252434681799414183504457751
- Tue Sep 21 17:57:36 2021 elapsed time 02:25:01

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