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- Mon Oct 12 23:59:11 2015
- Mon Oct 12 23:59:11 2015
- Mon Oct 12 23:59:11 2015 Msieve v. 1.52 (SVN 946)
- Mon Oct 12 23:59:11 2015 random seeds: 2f3d0908 a983e7b5
- Mon Oct 12 23:59:11 2015 factoring 37929053826770721130976655002516137962119295616501862751577777483997135220857169808770075202035625360852642276914755922968617581298708397873716342510819902309582616715791731641126547219403414109581783 (200 digits)
- Mon Oct 12 23:59:12 2015 no P-1/P+1/ECM available, skipping
- Mon Oct 12 23:59:12 2015 commencing number field sieve (200-digit input)
- Mon Oct 12 23:59:12 2015 R0: -11973747886018297523742405394432
- Mon Oct 12 23:59:12 2015 R1: 24506804088319785713436649354236658982956133
- Mon Oct 12 23:59:12 2015 A0: 456533
- Mon Oct 12 23:59:12 2015 A1: 0
- Mon Oct 12 23:59:12 2015 A2: 0
- Mon Oct 12 23:59:12 2015 A3: 0
- Mon Oct 12 23:59:12 2015 A4: 0
- Mon Oct 12 23:59:12 2015 A5: 13924
- Mon Oct 12 23:59:12 2015 skew 1.00, size 3.102e-016, alpha -0.048, combined = 5.972e-013 rroots = 1
- Mon Oct 12 23:59:12 2015
- Mon Oct 12 23:59:12 2015 commencing relation filtering
- Mon Oct 12 23:59:12 2015 setting target matrix density to 125.0
- Mon Oct 12 23:59:12 2015 estimated available RAM is 16331.2 MB
- Mon Oct 12 23:59:12 2015 commencing duplicate removal, pass 1
- <errors reading relations>
- Tue Oct 13 00:35:18 2015 skipped 39 relations with b > 2^32
- Tue Oct 13 00:35:18 2015 found 39928944 hash collisions in 232534754 relations
- Tue Oct 13 00:36:09 2015 added 731748 free relations
- Tue Oct 13 00:36:09 2015 commencing duplicate removal, pass 2
- Tue Oct 13 00:38:09 2015 found 36900501 duplicates and 196366001 unique relations
- Tue Oct 13 00:38:09 2015 memory use: 1321.5 MB
- Tue Oct 13 00:38:09 2015 reading ideals above 110034944
- Tue Oct 13 00:38:09 2015 commencing singleton removal, initial pass
- Tue Oct 13 01:12:14 2015 memory use: 3012.0 MB
- Tue Oct 13 01:12:14 2015 reading all ideals from disk
- Tue Oct 13 01:12:24 2015 memory use: 3448.6 MB
- Tue Oct 13 01:12:39 2015 commencing in-memory singleton removal
- Tue Oct 13 01:12:53 2015 begin with 196366001 relations and 162073636 unique ideals
- Tue Oct 13 01:15:06 2015 reduce to 128540728 relations and 87364896 ideals in 13 passes
- Tue Oct 13 01:15:06 2015 max relations containing the same ideal: 32
- Tue Oct 13 01:15:20 2015 reading ideals above 720000
- Tue Oct 13 01:15:20 2015 commencing singleton removal, initial pass
- Tue Oct 13 01:42:13 2015 memory use: 2756.0 MB
- Tue Oct 13 01:42:14 2015 reading all ideals from disk
- Tue Oct 13 01:42:30 2015 memory use: 4953.8 MB
- Tue Oct 13 01:42:49 2015 keeping 99323307 ideals with weight <= 200, target excess is 654712
- Tue Oct 13 01:43:09 2015 commencing in-memory singleton removal
- Tue Oct 13 01:43:25 2015 begin with 128540728 relations and 99323307 unique ideals
- Tue Oct 13 01:44:40 2015 reduce to 128540636 relations and 99323215 ideals in 5 passes
- Tue Oct 13 01:44:40 2015 max relations containing the same ideal: 200
- Tue Oct 13 01:45:56 2015 removing 10426638 relations and 8426638 ideals in 2000000 cliques
- Tue Oct 13 01:45:59 2015 commencing in-memory singleton removal
- Tue Oct 13 01:46:15 2015 begin with 118113998 relations and 99323215 unique ideals
- Tue Oct 13 01:48:40 2015 reduce to 117491858 relations and 90262412 ideals in 10 passes
- Tue Oct 13 01:48:40 2015 max relations containing the same ideal: 196
- Tue Oct 13 01:49:52 2015 removing 7914109 relations and 5914109 ideals in 2000000 cliques
- Tue Oct 13 01:49:55 2015 commencing in-memory singleton removal
- Tue Oct 13 01:50:08 2015 begin with 109577749 relations and 90262412 unique ideals
- Tue Oct 13 01:51:37 2015 reduce to 109161858 relations and 83925206 ideals in 7 passes
- Tue Oct 13 01:51:37 2015 max relations containing the same ideal: 190
- Tue Oct 13 01:52:39 2015 removing 7175497 relations and 5175497 ideals in 2000000 cliques
- Tue Oct 13 01:52:41 2015 commencing in-memory singleton removal
- Tue Oct 13 01:52:52 2015 begin with 101986361 relations and 83925206 unique ideals
- Tue Oct 13 01:54:09 2015 reduce to 101622172 relations and 78379129 ideals in 7 passes
- Tue Oct 13 01:54:09 2015 max relations containing the same ideal: 180
- Tue Oct 13 01:55:06 2015 removing 6794530 relations and 4794530 ideals in 2000000 cliques
- Tue Oct 13 01:55:08 2015 commencing in-memory singleton removal
- Tue Oct 13 01:55:18 2015 begin with 94827642 relations and 78379129 unique ideals
- Tue Oct 13 01:56:26 2015 reduce to 94485809 relations and 73236654 ideals in 7 passes
- Tue Oct 13 01:56:26 2015 max relations containing the same ideal: 173
- Tue Oct 13 01:57:21 2015 removing 6560976 relations and 4560976 ideals in 2000000 cliques
- Tue Oct 13 01:57:23 2015 commencing in-memory singleton removal
- Tue Oct 13 01:57:33 2015 begin with 87924833 relations and 73236654 unique ideals
- Tue Oct 13 01:58:37 2015 reduce to 87594354 relations and 68338820 ideals in 7 passes
- Tue Oct 13 01:58:37 2015 max relations containing the same ideal: 165
- Tue Oct 13 01:59:27 2015 removing 6404989 relations and 4404989 ideals in 2000000 cliques
- Tue Oct 13 01:59:29 2015 commencing in-memory singleton removal
- Tue Oct 13 01:59:37 2015 begin with 81189365 relations and 68338820 unique ideals
- Tue Oct 13 02:00:32 2015 reduce to 80856941 relations and 63594779 ideals in 7 passes
- Tue Oct 13 02:00:32 2015 max relations containing the same ideal: 156
- Tue Oct 13 02:01:18 2015 removing 6288923 relations and 4288923 ideals in 2000000 cliques
- Tue Oct 13 02:01:20 2015 commencing in-memory singleton removal
- Tue Oct 13 02:01:27 2015 begin with 74568018 relations and 63594779 unique ideals
- Tue Oct 13 02:02:15 2015 reduce to 74231390 relations and 58961925 ideals in 7 passes
- Tue Oct 13 02:02:15 2015 max relations containing the same ideal: 147
- Tue Oct 13 02:02:55 2015 removing 6212154 relations and 4212154 ideals in 2000000 cliques
- Tue Oct 13 02:02:57 2015 commencing in-memory singleton removal
- Tue Oct 13 02:03:03 2015 begin with 68019236 relations and 58961925 unique ideals
- Tue Oct 13 02:03:45 2015 reduce to 67668150 relations and 54390342 ideals in 7 passes
- Tue Oct 13 02:03:45 2015 max relations containing the same ideal: 141
- Tue Oct 13 02:04:20 2015 removing 6157338 relations and 4157338 ideals in 2000000 cliques
- Tue Oct 13 02:04:22 2015 commencing in-memory singleton removal
- Tue Oct 13 02:04:27 2015 begin with 61510812 relations and 54390342 unique ideals
- Tue Oct 13 02:05:03 2015 reduce to 61141434 relations and 49854097 ideals in 7 passes
- Tue Oct 13 02:05:03 2015 max relations containing the same ideal: 132
- Tue Oct 13 02:05:34 2015 removing 6125261 relations and 4125261 ideals in 2000000 cliques
- Tue Oct 13 02:05:36 2015 commencing in-memory singleton removal
- Tue Oct 13 02:05:41 2015 begin with 55016173 relations and 49854097 unique ideals
- Tue Oct 13 02:06:12 2015 reduce to 54616551 relations and 45318098 ideals in 7 passes
- Tue Oct 13 02:06:12 2015 max relations containing the same ideal: 124
- Tue Oct 13 02:06:41 2015 removing 6112005 relations and 4112005 ideals in 2000000 cliques
- Tue Oct 13 02:06:43 2015 commencing in-memory singleton removal
- Tue Oct 13 02:06:47 2015 begin with 48504546 relations and 45318098 unique ideals
- Tue Oct 13 02:07:15 2015 reduce to 48065720 relations and 40753431 ideals in 7 passes
- Tue Oct 13 02:07:15 2015 max relations containing the same ideal: 113
- Tue Oct 13 02:07:41 2015 removing 6120611 relations and 4120611 ideals in 2000000 cliques
- Tue Oct 13 02:07:43 2015 commencing in-memory singleton removal
- Tue Oct 13 02:07:46 2015 begin with 41945109 relations and 40753431 unique ideals
- Tue Oct 13 02:08:11 2015 reduce to 41450853 relations and 36121089 ideals in 7 passes
- Tue Oct 13 02:08:11 2015 max relations containing the same ideal: 104
- Tue Oct 13 02:08:34 2015 removing 6144009 relations and 4144009 ideals in 2000000 cliques
- Tue Oct 13 02:08:35 2015 commencing in-memory singleton removal
- Tue Oct 13 02:08:38 2015 begin with 35306844 relations and 36121089 unique ideals
- Tue Oct 13 02:08:58 2015 reduce to 34729933 relations and 31376509 ideals in 7 passes
- Tue Oct 13 02:08:58 2015 max relations containing the same ideal: 92
- Tue Oct 13 02:09:17 2015 removing 6181377 relations and 4181377 ideals in 2000000 cliques
- Tue Oct 13 02:09:19 2015 commencing in-memory singleton removal
- Tue Oct 13 02:09:21 2015 begin with 28548556 relations and 31376509 unique ideals
- Tue Oct 13 02:09:39 2015 reduce to 27842305 relations and 26454896 ideals in 8 passes
- Tue Oct 13 02:09:39 2015 max relations containing the same ideal: 78
- Tue Oct 13 02:09:54 2015 removing 2467548 relations and 1839605 ideals in 627943 cliques
- Tue Oct 13 02:09:55 2015 commencing in-memory singleton removal
- Tue Oct 13 02:09:57 2015 begin with 25374757 relations and 26454896 unique ideals
- Tue Oct 13 02:10:11 2015 reduce to 25221823 relations and 24459364 ideals in 7 passes
- Tue Oct 13 02:10:11 2015 max relations containing the same ideal: 72
- Tue Oct 13 02:10:28 2015 relations with 0 large ideals: 14068
- Tue Oct 13 02:10:28 2015 relations with 1 large ideals: 10906
- Tue Oct 13 02:10:28 2015 relations with 2 large ideals: 156424
- Tue Oct 13 02:10:28 2015 relations with 3 large ideals: 957311
- Tue Oct 13 02:10:28 2015 relations with 4 large ideals: 3099793
- Tue Oct 13 02:10:28 2015 relations with 5 large ideals: 5870956
- Tue Oct 13 02:10:28 2015 relations with 6 large ideals: 7087519
- Tue Oct 13 02:10:28 2015 relations with 7+ large ideals: 8024846
- Tue Oct 13 02:10:28 2015 commencing 2-way merge
- Tue Oct 13 02:10:45 2015 reduce to 16396329 relation sets and 15633870 unique ideals
- Tue Oct 13 02:10:45 2015 commencing full merge
- Tue Oct 13 02:19:35 2015 memory use: 2057.1 MB
- Tue Oct 13 02:19:37 2015 found 7366020 cycles, need 7322070
- Tue Oct 13 02:19:38 2015 weight of 7322070 cycles is about 915724068 (125.06/cycle)
- Tue Oct 13 02:19:38 2015 distribution of cycle lengths:
- Tue Oct 13 02:19:38 2015 1 relations: 223334
- Tue Oct 13 02:19:38 2015 2 relations: 381175
- Tue Oct 13 02:19:38 2015 3 relations: 468074
- Tue Oct 13 02:19:38 2015 4 relations: 501773
- Tue Oct 13 02:19:38 2015 5 relations: 529539
- Tue Oct 13 02:19:38 2015 6 relations: 536695
- Tue Oct 13 02:19:38 2015 7 relations: 532088
- Tue Oct 13 02:19:38 2015 8 relations: 519547
- Tue Oct 13 02:19:38 2015 9 relations: 492874
- Tue Oct 13 02:19:38 2015 10+ relations: 3136971
- Tue Oct 13 02:19:38 2015 heaviest cycle: 28 relations
- Tue Oct 13 02:19:39 2015 commencing cycle optimization
- Tue Oct 13 02:19:55 2015 start with 67795779 relations
- Tue Oct 13 02:23:57 2015 pruned 3352162 relations
- Tue Oct 13 02:23:57 2015 memory use: 1743.2 MB
- Tue Oct 13 02:23:57 2015 distribution of cycle lengths:
- Tue Oct 13 02:23:57 2015 1 relations: 223334
- Tue Oct 13 02:23:57 2015 2 relations: 391472
- Tue Oct 13 02:23:57 2015 3 relations: 488808
- Tue Oct 13 02:23:57 2015 4 relations: 524454
- Tue Oct 13 02:23:57 2015 5 relations: 558586
- Tue Oct 13 02:23:57 2015 6 relations: 565678
- Tue Oct 13 02:23:57 2015 7 relations: 564060
- Tue Oct 13 02:23:57 2015 8 relations: 548899
- Tue Oct 13 02:23:57 2015 9 relations: 519993
- Tue Oct 13 02:23:57 2015 10+ relations: 2936786
- Tue Oct 13 02:23:57 2015 heaviest cycle: 28 relations
- Tue Oct 13 02:24:16 2015 RelProcTime: 8704
- Tue Oct 13 02:24:16 2015 elapsed time 02:25:05
- Tue Oct 13 13:13:07 2015
- Tue Oct 13 13:13:07 2015
- Tue Oct 13 13:13:07 2015 Msieve v. 1.52 (SVN 946)
- Tue Oct 13 13:13:07 2015 random seeds: 0e24ef24 477f11f4
- Tue Oct 13 13:13:07 2015 factoring 37929053826770721130976655002516137962119295616501862751577777483997135220857169808770075202035625360852642276914755922968617581298708397873716342510819902309582616715791731641126547219403414109581783 (200 digits)
- Tue Oct 13 13:13:08 2015 no P-1/P+1/ECM available, skipping
- Tue Oct 13 13:13:08 2015 commencing number field sieve (200-digit input)
- Tue Oct 13 13:13:08 2015 R0: -11973747886018297523742405394432
- Tue Oct 13 13:13:08 2015 R1: 24506804088319785713436649354236658982956133
- Tue Oct 13 13:13:08 2015 A0: 456533
- Tue Oct 13 13:13:08 2015 A1: 0
- Tue Oct 13 13:13:08 2015 A2: 0
- Tue Oct 13 13:13:08 2015 A3: 0
- Tue Oct 13 13:13:08 2015 A4: 0
- Tue Oct 13 13:13:08 2015 A5: 13924
- Tue Oct 13 13:13:08 2015 skew 1.00, size 3.102e-016, alpha -0.048, combined = 5.972e-013 rroots = 1
- Tue Oct 13 13:13:08 2015
- Tue Oct 13 13:13:08 2015 commencing linear algebra
- Tue Oct 13 13:13:09 2015 read 7322070 cycles
- Tue Oct 13 13:13:28 2015 cycles contain 24820290 unique relations
- Tue Oct 13 13:17:56 2015 read 24820290 relations
- Tue Oct 13 13:18:33 2015 using 20 quadratic characters above 2147478080
- Tue Oct 13 13:20:19 2015 building initial matrix
- Tue Oct 13 13:25:08 2015 memory use: 3196.2 MB
- Tue Oct 13 13:25:12 2015 read 7322070 cycles
- Tue Oct 13 13:25:14 2015 matrix is 7321893 x 7322070 (3546.0 MB) with weight 1018548809 (139.11/col)
- Tue Oct 13 13:25:14 2015 sparse part has weight 849020186 (115.95/col)
- Tue Oct 13 13:26:44 2015 filtering completed in 2 passes
- Tue Oct 13 13:26:47 2015 matrix is 7321771 x 7321948 (3546.0 MB) with weight 1018543835 (139.11/col)
- Tue Oct 13 13:26:47 2015 sparse part has weight 849018174 (115.96/col)
- Tue Oct 13 13:27:09 2015 matrix starts at (0, 0)
- Tue Oct 13 13:27:11 2015 matrix is 7321771 x 7321948 (3546.0 MB) with weight 1018543835 (139.11/col)
- Tue Oct 13 13:27:11 2015 sparse part has weight 849018174 (115.96/col)
- Tue Oct 13 13:27:11 2015 saving the first 48 matrix rows for later
- Tue Oct 13 13:27:13 2015 matrix includes 64 packed rows
- Tue Oct 13 13:27:14 2015 matrix is 7321723 x 7321948 (3389.2 MB) with weight 874226408 (119.40/col)
- Tue Oct 13 13:27:14 2015 sparse part has weight 815249638 (111.34/col)
- Tue Oct 13 13:27:14 2015 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
- Tue Oct 13 13:27:54 2015 commencing Lanczos iteration (4 threads)
- Tue Oct 13 13:27:54 2015 memory use: 2866.7 MB
- Tue Oct 13 13:28:21 2015 linear algebra at 0.0%, ETA 33h28m
- Tue Oct 13 13:28:30 2015 checkpointing every 220000 dimensions
- Wed Oct 14 23:54:23 2015 lanczos halted after 115784 iterations (dim = 7321720)
- Wed Oct 14 23:54:32 2015 recovered 36 nontrivial dependencies
- Wed Oct 14 23:54:35 2015 BLanczosTime: 124887
- Wed Oct 14 23:54:35 2015 elapsed time 34:41:28
- Thu Oct 15 01:43:07 2015
- Thu Oct 15 01:43:07 2015
- Thu Oct 15 01:43:07 2015 Msieve v. 1.52 (SVN 946)
- Thu Oct 15 01:43:07 2015 random seeds: 973d4770 f278cd9c
- Thu Oct 15 01:43:07 2015 factoring 37929053826770721130976655002516137962119295616501862751577777483997135220857169808770075202035625360852642276914755922968617581298708397873716342510819902309582616715791731641126547219403414109581783 (200 digits)
- Thu Oct 15 01:43:08 2015 no P-1/P+1/ECM available, skipping
- Thu Oct 15 01:43:08 2015 commencing number field sieve (200-digit input)
- Thu Oct 15 01:43:08 2015 R0: -11973747886018297523742405394432
- Thu Oct 15 01:43:08 2015 R1: 24506804088319785713436649354236658982956133
- Thu Oct 15 01:43:08 2015 A0: 456533
- Thu Oct 15 01:43:08 2015 A1: 0
- Thu Oct 15 01:43:08 2015 A2: 0
- Thu Oct 15 01:43:08 2015 A3: 0
- Thu Oct 15 01:43:08 2015 A4: 0
- Thu Oct 15 01:43:08 2015 A5: 13924
- Thu Oct 15 01:43:08 2015 skew 1.00, size 3.102e-016, alpha -0.048, combined = 5.972e-013 rroots = 1
- Thu Oct 15 01:43:08 2015
- Thu Oct 15 01:43:08 2015 commencing square root phase
- Thu Oct 15 01:43:08 2015 reading relations for dependency 1
- Thu Oct 15 01:43:10 2015 read 3663757 cycles
- Thu Oct 15 01:43:18 2015 cycles contain 12413210 unique relations
- Thu Oct 15 01:45:46 2015 read 12413210 relations
- Thu Oct 15 01:47:06 2015 multiplying 12413210 relations
- Thu Oct 15 01:58:20 2015 multiply complete, coefficients have about 486.81 million bits
- Thu Oct 15 01:58:24 2015 initial square root is modulo 543028061
- Thu Oct 15 02:13:29 2015 sqrtTime: 1821
- Thu Oct 15 02:13:29 2015 prp57 factor: 471288736153998521542622677712183430204675950031435405821
- Thu Oct 15 02:13:29 2015 prp143 factor: 80479440557596959564357885225091525208088355423126072895140230671368085212335657452106102688837257204553939780014899023133974107543069557229923
- Thu Oct 15 02:13:29 2015 elapsed time 00:30:22
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