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- Fri Jul 22 09:39:03 2016
- Fri Jul 22 09:39:03 2016
- Fri Jul 22 09:39:03 2016 Msieve v. 1.53 (SVN 988M)
- Fri Jul 22 09:39:03 2016 random seeds: 3d96df21 8a995c1a
- Fri Jul 22 09:39:03 2016 factoring 8991195158795863674573878263605159299992465985800254108294015822117616141806410010926765850822729429481658673958454555043498287876080947581075126491567091791238867904126122950156625455523096228243554976233066383962094952783718783725849 (235 digits)
- Fri Jul 22 09:39:04 2016 searching for 15-digit factors
- Fri Jul 22 09:39:07 2016 commencing number field sieve (235-digit input)
- Fri Jul 22 09:39:07 2016 R0: 11188186607572508208626560435749082103808
- Fri Jul 22 09:39:07 2016 R1: 174859124550883201
- Fri Jul 22 09:39:07 2016 A0: 3
- Fri Jul 22 09:39:07 2016 A1: 0
- Fri Jul 22 09:39:07 2016 A2: 0
- Fri Jul 22 09:39:07 2016 A3: 0
- Fri Jul 22 09:39:07 2016 A4: 0
- Fri Jul 22 09:39:07 2016 A5: 0
- Fri Jul 22 09:39:07 2016 A6: 4
- Fri Jul 22 09:39:07 2016 skew 0.95, size 6.961e-12, alpha 1.261, combined = 4.906e-13 rroots = 0
- Fri Jul 22 09:39:07 2016
- Fri Jul 22 09:39:07 2016 commencing relation filtering
- Fri Jul 22 09:39:07 2016 setting target matrix density to 130.0
- Fri Jul 22 09:39:07 2016 estimated available RAM is 65536.0 MB
- Fri Jul 22 09:39:07 2016 commencing duplicate removal, pass 1
- Fri Jul 22 09:49:33 2016 error -9 reading relation 83881470
- Fri Jul 22 09:49:43 2016 error -1 reading relation 85209724
- Fri Jul 22 09:56:16 2016 error -9 reading relation 138003976
- Fri Jul 22 09:59:26 2016 error -1 reading relation 163540084
- Fri Jul 22 09:59:26 2016 error -15 reading relation 163542010
- Fri Jul 22 09:59:26 2016 error -1 reading relation 163543523
- Fri Jul 22 09:59:26 2016 error -5 reading relation 163546608
- Fri Jul 22 09:59:26 2016 error -1 reading relation 163546609
- Fri Jul 22 09:59:26 2016 error -9 reading relation 163549175
- Fri Jul 22 09:59:27 2016 error -9 reading relation 163551083
- Fri Jul 22 09:59:27 2016 error -1 reading relation 163558930
- Fri Jul 22 09:59:27 2016 error -9 reading relation 163560553
- Fri Jul 22 09:59:27 2016 error -9 reading relation 163563795
- Fri Jul 22 09:59:27 2016 error -1 reading relation 163571042
- Fri Jul 22 10:00:19 2016 error -15 reading relation 170567354
- Fri Jul 22 10:03:52 2016 error -5 reading relation 199307894
- Fri Jul 22 10:04:02 2016 error -9 reading relation 200635772
- Fri Jul 22 10:04:04 2016 error -15 reading relation 200811781
- Fri Jul 22 10:04:09 2016 error -1 reading relation 201549217
- Fri Jul 22 10:04:09 2016 error -15 reading relation 201604883
- Fri Jul 22 10:04:11 2016 error -5 reading relation 201761683
- Fri Jul 22 10:04:15 2016 error -15 reading relation 202420040
- Fri Jul 22 10:04:17 2016 error -15 reading relation 202642656
- Fri Jul 22 10:04:19 2016 error -15 reading relation 202877289
- Fri Jul 22 10:04:27 2016 error -9 reading relation 203972458
- Fri Jul 22 10:04:29 2016 error -15 reading relation 204210188
- Fri Jul 22 10:05:05 2016 error -9 reading relation 209076340
- Fri Jul 22 10:05:45 2016 error -5 reading relation 214511924
- Fri Jul 22 10:06:54 2016 error -1 reading relation 223795015
- Fri Jul 22 10:07:04 2016 error -15 reading relation 225163425
- Fri Jul 22 10:07:16 2016 error -9 reading relation 226841309
- Fri Jul 22 10:07:56 2016 error -1 reading relation 232278434
- Fri Jul 22 10:08:03 2016 error -5 reading relation 233273505
- Fri Jul 22 10:08:14 2016 error -9 reading relation 234735724
- Fri Jul 22 10:09:02 2016 error -9 reading relation 241417405
- Fri Jul 22 10:09:42 2016 skipped 83 relations with b > 2^32
- Fri Jul 22 10:09:42 2016 skipped 17 relations with composite factors
- Fri Jul 22 10:09:42 2016 found 46937098 hash collisions in 246882621 relations
- Fri Jul 22 10:09:50 2016 added 2438315 free relations
- Fri Jul 22 10:09:50 2016 commencing duplicate removal, pass 2
- Fri Jul 22 10:13:36 2016 found 45045252 duplicates and 204275684 unique relations
- Fri Jul 22 10:13:36 2016 memory use: 1321.5 MB
- Fri Jul 22 10:13:36 2016 reading ideals above 720000
- Fri Jul 22 10:13:36 2016 commencing singleton removal, initial pass
- Fri Jul 22 10:38:53 2016 memory use: 5512.0 MB
- Fri Jul 22 10:38:53 2016 reading all ideals from disk
- Fri Jul 22 10:38:58 2016 memory use: 7976.8 MB
- Fri Jul 22 10:39:19 2016 keeping 176022554 ideals with weight <= 200, target excess is 1029860
- Fri Jul 22 10:39:44 2016 commencing in-memory singleton removal
- Fri Jul 22 10:40:00 2016 begin with 204275684 relations and 176022554 unique ideals
- Fri Jul 22 10:42:43 2016 reduce to 139371595 relations and 104965842 ideals in 13 passes
- Fri Jul 22 10:42:43 2016 max relations containing the same ideal: 164
- Fri Jul 22 10:43:40 2016 removing 10008378 relations and 8008378 ideals in 2000000 cliques
- Fri Jul 22 10:43:44 2016 commencing in-memory singleton removal
- Fri Jul 22 10:43:54 2016 begin with 129363217 relations and 104965842 unique ideals
- Fri Jul 22 10:45:09 2016 reduce to 128831365 relations and 96415908 ideals in 7 passes
- Fri Jul 22 10:45:09 2016 max relations containing the same ideal: 156
- Fri Jul 22 10:46:01 2016 removing 7619182 relations and 5619182 ideals in 2000000 cliques
- Fri Jul 22 10:46:04 2016 commencing in-memory singleton removal
- Fri Jul 22 10:46:14 2016 begin with 121212183 relations and 96415908 unique ideals
- Fri Jul 22 10:47:24 2016 reduce to 120857211 relations and 90435982 ideals in 7 passes
- Fri Jul 22 10:47:24 2016 max relations containing the same ideal: 151
- Fri Jul 22 10:48:13 2016 removing 6927115 relations and 4927115 ideals in 2000000 cliques
- Fri Jul 22 10:48:16 2016 commencing in-memory singleton removal
- Fri Jul 22 10:48:25 2016 begin with 113930096 relations and 90435982 unique ideals
- Fri Jul 22 10:49:31 2016 reduce to 113621349 relations and 85195235 ideals in 7 passes
- Fri Jul 22 10:49:31 2016 max relations containing the same ideal: 143
- Fri Jul 22 10:50:17 2016 removing 6569922 relations and 4569922 ideals in 2000000 cliques
- Fri Jul 22 10:50:20 2016 commencing in-memory singleton removal
- Fri Jul 22 10:50:28 2016 begin with 107051427 relations and 85195235 unique ideals
- Fri Jul 22 10:51:30 2016 reduce to 106765387 relations and 80334447 ideals in 7 passes
- Fri Jul 22 10:51:30 2016 max relations containing the same ideal: 138
- Fri Jul 22 10:52:13 2016 removing 6345091 relations and 4345091 ideals in 2000000 cliques
- Fri Jul 22 10:52:16 2016 commencing in-memory singleton removal
- Fri Jul 22 10:52:24 2016 begin with 100420296 relations and 80334447 unique ideals
- Fri Jul 22 10:53:13 2016 reduce to 100146793 relations and 75711166 ideals in 6 passes
- Fri Jul 22 10:53:13 2016 max relations containing the same ideal: 133
- Fri Jul 22 10:53:54 2016 removing 6188453 relations and 4188453 ideals in 2000000 cliques
- Fri Jul 22 10:53:56 2016 commencing in-memory singleton removal
- Fri Jul 22 10:54:03 2016 begin with 93958340 relations and 75711166 unique ideals
- Fri Jul 22 10:54:57 2016 reduce to 93688535 relations and 71247828 ideals in 7 passes
- Fri Jul 22 10:54:57 2016 max relations containing the same ideal: 127
- Fri Jul 22 10:55:35 2016 removing 6074746 relations and 4074746 ideals in 2000000 cliques
- Fri Jul 22 10:55:37 2016 commencing in-memory singleton removal
- Fri Jul 22 10:55:44 2016 begin with 87613789 relations and 71247828 unique ideals
- Fri Jul 22 10:56:26 2016 reduce to 87343562 relations and 66897538 ideals in 6 passes
- Fri Jul 22 10:56:26 2016 max relations containing the same ideal: 122
- Fri Jul 22 10:57:03 2016 removing 5986955 relations and 3986955 ideals in 2000000 cliques
- Fri Jul 22 10:57:05 2016 commencing in-memory singleton removal
- Fri Jul 22 10:57:11 2016 begin with 81356607 relations and 66897538 unique ideals
- Fri Jul 22 10:57:50 2016 reduce to 81078953 relations and 62627274 ideals in 6 passes
- Fri Jul 22 10:57:50 2016 max relations containing the same ideal: 115
- Fri Jul 22 10:58:23 2016 removing 5923395 relations and 3923395 ideals in 2000000 cliques
- Fri Jul 22 10:58:26 2016 commencing in-memory singleton removal
- Fri Jul 22 10:58:31 2016 begin with 75155558 relations and 62627274 unique ideals
- Fri Jul 22 10:59:13 2016 reduce to 74869282 relations and 58411245 ideals in 7 passes
- Fri Jul 22 10:59:13 2016 max relations containing the same ideal: 111
- Fri Jul 22 10:59:43 2016 removing 5879553 relations and 3879553 ideals in 2000000 cliques
- Fri Jul 22 10:59:46 2016 commencing in-memory singleton removal
- Fri Jul 22 10:59:51 2016 begin with 68989729 relations and 58411245 unique ideals
- Fri Jul 22 11:00:23 2016 reduce to 68688939 relations and 54223838 ideals in 6 passes
- Fri Jul 22 11:00:23 2016 max relations containing the same ideal: 102
- Fri Jul 22 11:00:51 2016 removing 5850770 relations and 3850770 ideals in 2000000 cliques
- Fri Jul 22 11:00:54 2016 commencing in-memory singleton removal
- Fri Jul 22 11:00:58 2016 begin with 62838169 relations and 54223838 unique ideals
- Fri Jul 22 11:01:28 2016 reduce to 62518085 relations and 50044672 ideals in 6 passes
- Fri Jul 22 11:01:28 2016 max relations containing the same ideal: 95
- Fri Jul 22 11:01:54 2016 removing 5834458 relations and 3834458 ideals in 2000000 cliques
- Fri Jul 22 11:01:56 2016 commencing in-memory singleton removal
- Fri Jul 22 11:02:00 2016 begin with 56683627 relations and 50044672 unique ideals
- Fri Jul 22 11:02:30 2016 reduce to 56338494 relations and 45855356 ideals in 7 passes
- Fri Jul 22 11:02:30 2016 max relations containing the same ideal: 91
- Fri Jul 22 11:02:53 2016 removing 5829818 relations and 3829818 ideals in 2000000 cliques
- Fri Jul 22 11:02:55 2016 commencing in-memory singleton removal
- Fri Jul 22 11:02:59 2016 begin with 50508676 relations and 45855356 unique ideals
- Fri Jul 22 11:03:26 2016 reduce to 50132435 relations and 41637609 ideals in 7 passes
- Fri Jul 22 11:03:26 2016 max relations containing the same ideal: 83
- Fri Jul 22 11:03:47 2016 removing 5829948 relations and 3829948 ideals in 2000000 cliques
- Fri Jul 22 11:03:48 2016 commencing in-memory singleton removal
- Fri Jul 22 11:03:51 2016 begin with 44302487 relations and 41637609 unique ideals
- Fri Jul 22 11:04:15 2016 reduce to 43888109 relations and 37379003 ideals in 7 passes
- Fri Jul 22 11:04:15 2016 max relations containing the same ideal: 77
- Fri Jul 22 11:04:33 2016 removing 5835463 relations and 3835463 ideals in 2000000 cliques
- Fri Jul 22 11:04:35 2016 commencing in-memory singleton removal
- Fri Jul 22 11:04:37 2016 begin with 38052646 relations and 37379003 unique ideals
- Fri Jul 22 11:04:57 2016 reduce to 37585873 relations and 33058891 ideals in 7 passes
- Fri Jul 22 11:04:57 2016 max relations containing the same ideal: 68
- Fri Jul 22 11:05:12 2016 removing 5837920 relations and 3837920 ideals in 2000000 cliques
- Fri Jul 22 11:05:14 2016 commencing in-memory singleton removal
- Fri Jul 22 11:05:16 2016 begin with 31747953 relations and 33058891 unique ideals
- Fri Jul 22 11:05:35 2016 reduce to 31204633 relations and 28653254 ideals in 8 passes
- Fri Jul 22 11:05:35 2016 max relations containing the same ideal: 61
- Fri Jul 22 11:05:47 2016 removing 4222140 relations and 2865399 ideals in 1356741 cliques
- Fri Jul 22 11:05:49 2016 commencing in-memory singleton removal
- Fri Jul 22 11:05:50 2016 begin with 26982493 relations and 28653254 unique ideals
- Fri Jul 22 11:06:06 2016 reduce to 26606695 relations and 25397558 ideals in 8 passes
- Fri Jul 22 11:06:06 2016 max relations containing the same ideal: 54
- Fri Jul 22 11:06:17 2016 removing 88149 relations and 73650 ideals in 14499 cliques
- Fri Jul 22 11:06:17 2016 commencing in-memory singleton removal
- Fri Jul 22 11:06:19 2016 begin with 26518546 relations and 25397558 unique ideals
- Fri Jul 22 11:06:26 2016 reduce to 26518374 relations and 25323736 ideals in 4 passes
- Fri Jul 22 11:06:26 2016 max relations containing the same ideal: 54
- Fri Jul 22 11:06:31 2016 relations with 0 large ideals: 70174
- Fri Jul 22 11:06:31 2016 relations with 1 large ideals: 31866
- Fri Jul 22 11:06:31 2016 relations with 2 large ideals: 365090
- Fri Jul 22 11:06:31 2016 relations with 3 large ideals: 1792020
- Fri Jul 22 11:06:31 2016 relations with 4 large ideals: 4609029
- Fri Jul 22 11:06:31 2016 relations with 5 large ideals: 6908501
- Fri Jul 22 11:06:31 2016 relations with 6 large ideals: 6375719
- Fri Jul 22 11:06:31 2016 relations with 7+ large ideals: 6365975
- Fri Jul 22 11:06:31 2016 commencing 2-way merge
- Fri Jul 22 11:06:45 2016 reduce to 18078104 relation sets and 16883466 unique ideals
- Fri Jul 22 11:06:45 2016 commencing full merge
- Fri Jul 22 11:14:12 2016 memory use: 2270.3 MB
- Fri Jul 22 11:14:15 2016 found 7878978 cycles, need 7875666
- Fri Jul 22 11:14:16 2016 weight of 7875666 cycles is about 1024344420 (130.06/cycle)
- Fri Jul 22 11:14:16 2016 distribution of cycle lengths:
- Fri Jul 22 11:14:16 2016 1 relations: 262917
- Fri Jul 22 11:14:16 2016 2 relations: 344450
- Fri Jul 22 11:14:16 2016 3 relations: 433121
- Fri Jul 22 11:14:16 2016 4 relations: 473948
- Fri Jul 22 11:14:16 2016 5 relations: 505186
- Fri Jul 22 11:14:16 2016 6 relations: 522271
- Fri Jul 22 11:14:16 2016 7 relations: 527232
- Fri Jul 22 11:14:16 2016 8 relations: 518568
- Fri Jul 22 11:14:16 2016 9 relations: 500355
- Fri Jul 22 11:14:16 2016 10+ relations: 3787618
- Fri Jul 22 11:14:16 2016 heaviest cycle: 28 relations
- Fri Jul 22 11:14:18 2016 commencing cycle optimization
- Fri Jul 22 11:14:36 2016 start with 79752021 relations
- Fri Jul 22 11:18:34 2016 pruned 4800665 relations
- Fri Jul 22 11:18:35 2016 memory use: 1910.5 MB
- Fri Jul 22 11:18:35 2016 distribution of cycle lengths:
- Fri Jul 22 11:18:35 2016 1 relations: 262917
- Fri Jul 22 11:18:35 2016 2 relations: 352968
- Fri Jul 22 11:18:35 2016 3 relations: 451907
- Fri Jul 22 11:18:35 2016 4 relations: 497163
- Fri Jul 22 11:18:35 2016 5 relations: 537342
- Fri Jul 22 11:18:35 2016 6 relations: 557065
- Fri Jul 22 11:18:35 2016 7 relations: 567021
- Fri Jul 22 11:18:35 2016 8 relations: 557101
- Fri Jul 22 11:18:35 2016 9 relations: 538932
- Fri Jul 22 11:18:35 2016 10+ relations: 3553250
- Fri Jul 22 11:18:35 2016 heaviest cycle: 28 relations
- Fri Jul 22 11:18:49 2016 RelProcTime: 5982
- Fri Jul 22 11:18:49 2016
- Fri Jul 22 11:18:49 2016 commencing linear algebra
- Fri Jul 22 11:18:50 2016 read 7875666 cycles
- Fri Jul 22 11:19:09 2016 cycles contain 25972715 unique relations
- Fri Jul 22 11:23:45 2016 read 25972715 relations
- Fri Jul 22 11:24:42 2016 using 20 quadratic characters above 4294917295
- Fri Jul 22 11:26:15 2016 building initial matrix
- Fri Jul 22 11:31:18 2016 memory use: 3281.5 MB
- Fri Jul 22 11:31:25 2016 read 7875666 cycles
- Fri Jul 22 11:31:26 2016 matrix is 7875489 x 7875666 (3887.1 MB) with weight 1113110034 (141.34/col)
- Fri Jul 22 11:31:26 2016 sparse part has weight 940234171 (119.38/col)
- Fri Jul 22 11:33:14 2016 filtering completed in 2 passes
- Fri Jul 22 11:33:15 2016 matrix is 7875442 x 7875619 (3887.1 MB) with weight 1113108674 (141.34/col)
- Fri Jul 22 11:33:15 2016 sparse part has weight 940233779 (119.39/col)
- Fri Jul 22 11:33:45 2016 matrix starts at (0, 0)
- Fri Jul 22 11:33:46 2016 matrix is 7875442 x 7875619 (3887.1 MB) with weight 1113108674 (141.34/col)
- Fri Jul 22 11:33:46 2016 sparse part has weight 940233779 (119.39/col)
- Fri Jul 22 11:33:46 2016 saving the first 48 matrix rows for later
- Fri Jul 22 11:33:47 2016 matrix includes 64 packed rows
- Fri Jul 22 11:33:48 2016 matrix is 7875394 x 7875619 (3746.6 MB) with weight 961560874 (122.09/col)
- Fri Jul 22 11:33:48 2016 sparse part has weight 903380428 (114.71/col)
- Fri Jul 22 11:33:48 2016 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
- Fri Jul 22 11:34:36 2016 commencing Lanczos iteration (6 threads)
- Fri Jul 22 11:34:36 2016 memory use: 3200.6 MB
- Fri Jul 22 11:34:59 2016 linear algebra at 0.0%, ETA 31h48m
- Fri Jul 22 11:35:07 2016 checkpointing every 250000 dimensions
- Sat Jul 23 20:01:16 2016 lanczos halted after 124553 iterations (dim = 7875394)
- Sat Jul 23 20:01:25 2016 recovered 39 nontrivial dependencies
- Sat Jul 23 20:01:27 2016 BLanczosTime: 117758
- Sat Jul 23 20:01:27 2016
- Sat Jul 23 20:01:27 2016 commencing square root phase
- Sat Jul 23 20:01:27 2016 handling dependencies 1 to 64
- Sat Jul 23 20:01:27 2016 reading relations for dependency 1
- Sat Jul 23 20:01:28 2016 read 3939223 cycles
- Sat Jul 23 20:01:37 2016 cycles contain 12989736 unique relations
- Sat Jul 23 20:05:13 2016 read 12989736 relations
- Sat Jul 23 20:06:05 2016 multiplying 12989736 relations
- Sat Jul 23 20:14:58 2016 multiply complete, coefficients have about 349.16 million bits
- Sat Jul 23 20:15:00 2016 warning: no irreducible prime found, switching to small primes
- Sat Jul 23 20:15:00 2016 initial square root is modulo 53
- Sat Jul 23 20:25:06 2016 Newton iteration failed to converge
- Sat Jul 23 20:25:06 2016 algebraic square root failed
- Sat Jul 23 20:25:06 2016 reading relations for dependency 2
- Sat Jul 23 20:25:08 2016 read 3938714 cycles
- Sat Jul 23 20:25:16 2016 cycles contain 12989626 unique relations
- Sat Jul 23 20:28:51 2016 read 12989626 relations
- Sat Jul 23 20:29:43 2016 multiplying 12989626 relations
- Sat Jul 23 20:38:37 2016 multiply complete, coefficients have about 349.16 million bits
- Sat Jul 23 20:38:38 2016 warning: no irreducible prime found, switching to small primes
- Sat Jul 23 20:38:38 2016 initial square root is modulo 53
- Sat Jul 23 20:48:44 2016 Newton iteration failed to converge
- Sat Jul 23 20:48:44 2016 algebraic square root failed
- Sat Jul 23 20:48:44 2016 reading relations for dependency 3
- Sat Jul 23 20:48:46 2016 read 3938816 cycles
- Sat Jul 23 20:48:54 2016 cycles contain 12986346 unique relations
- Sat Jul 23 20:52:37 2016 read 12986346 relations
- Sat Jul 23 20:53:32 2016 multiplying 12986346 relations
- Sat Jul 23 21:02:41 2016 multiply complete, coefficients have about 349.06 million bits
- Sat Jul 23 21:02:43 2016 warning: no irreducible prime found, switching to small primes
- Sat Jul 23 21:02:43 2016 initial square root is modulo 53
- Sat Jul 23 21:13:05 2016 sqrtTime: 4298
- Sat Jul 23 21:13:05 2016 p117 factor: 145615905130920535738416045659822790134415033791318416450132821292147959125742863914889330692639871978449923408970147
- Sat Jul 23 21:13:05 2016 p119 factor: 61745968963431902155151004692609673528522063291516032371959894747867099367273839198142542181597646411792148098558658067
- Sat Jul 23 21:13:05 2016 elapsed time 35:34:02
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