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- Mon Aug 29 16:01:01 2016
- Mon Aug 29 16:01:01 2016
- Mon Aug 29 16:01:01 2016 Msieve v. 1.52 (SVN unknown)
- Mon Aug 29 16:01:01 2016 random seeds: 89ce56d8 6a06da9c
- Mon Aug 29 16:01:01 2016 factoring 28227440038208794164837457697459669011978713340529792528045002566707942859826695500579330327858344588216821616136636204121956905652273065396079883345163843934212132876588640904768871737288567038060627 (200 digits)
- Mon Aug 29 16:01:02 2016 no P-1/P+1/ECM available, skipping
- Mon Aug 29 16:01:02 2016 commencing number field sieve (200-digit input)
- Mon Aug 29 16:01:02 2016 R0: 11972515182562019788602740026717047105681
- Mon Aug 29 16:01:02 2016 R1: -311973482284542371301330321821976049
- Mon Aug 29 16:01:02 2016 A0: -9
- Mon Aug 29 16:01:02 2016 A1: 0
- Mon Aug 29 16:01:02 2016 A2: 0
- Mon Aug 29 16:01:02 2016 A3: 0
- Mon Aug 29 16:01:02 2016 A4: 0
- Mon Aug 29 16:01:02 2016 A5: 0
- Mon Aug 29 16:01:02 2016 A6: 7
- Mon Aug 29 16:01:02 2016 skew 1.04, size 3.986e-012, alpha 2.716, combined = 3.298e-013 rroots = 2
- Mon Aug 29 16:01:02 2016
- Mon Aug 29 16:01:02 2016 commencing relation filtering
- Mon Aug 29 16:01:02 2016 setting target matrix density to 120.0
- Mon Aug 29 16:01:02 2016 estimated available RAM is 16335.3 MB
- Mon Aug 29 16:01:02 2016 commencing duplicate removal, pass 1
- Mon Aug 29 16:24:58 2016 error -9 reading relation 146068737
- Mon Aug 29 16:26:04 2016 error -15 reading relation 153243885
- Mon Aug 29 16:29:32 2016 error -5 reading relation 176031499
- Mon Aug 29 16:31:15 2016 error -15 reading relation 187222088
- Mon Aug 29 16:33:04 2016 error -1 reading relation 199289649
- Mon Aug 29 16:34:26 2016 error -15 reading relation 208044705
- Mon Aug 29 16:34:26 2016 error -1 reading relation 208044731
- Mon Aug 29 16:34:26 2016 error -9 reading relation 208045901
- Mon Aug 29 16:34:26 2016 error -15 reading relation 208046526
- Mon Aug 29 16:34:26 2016 error -15 reading relation 208047172
- Mon Aug 29 16:34:26 2016 error -5 reading relation 208047208
- Mon Aug 29 16:34:26 2016 error -11 reading relation 208047806
- Mon Aug 29 16:34:26 2016 error -1 reading relation 208049034
- Mon Aug 29 16:35:06 2016 error -9 reading relation 212276542
- Mon Aug 29 16:35:14 2016 error -5 reading relation 213173503
- Mon Aug 29 16:36:07 2016 error -9 reading relation 218902208
- Mon Aug 29 16:36:07 2016 error -9 reading relation 218918736
- Mon Aug 29 16:36:14 2016 error -15 reading relation 219750053
- Mon Aug 29 16:36:14 2016 error -15 reading relation 219750184
- Mon Aug 29 16:38:11 2016 error -9 reading relation 232459391
- Mon Aug 29 16:38:14 2016 error -1 reading relation 232886520
- Mon Aug 29 16:38:15 2016 error -9 reading relation 232931324
- Mon Aug 29 16:38:22 2016 error -9 reading relation 233698064
- Mon Aug 29 16:38:22 2016 error -5 reading relation 233767194
- Mon Aug 29 16:38:54 2016 error -15 reading relation 237354017
- Mon Aug 29 16:38:54 2016 error -15 reading relation 237431829
- Mon Aug 29 16:38:57 2016 error -9 reading relation 237723446
- Mon Aug 29 16:39:12 2016 error -15 reading relation 239575115
- Mon Aug 29 16:39:13 2016 error -15 reading relation 239707305
- Mon Aug 29 16:39:13 2016 error -15 reading relation 239712991
- Mon Aug 29 16:39:16 2016 error -9 reading relation 239951419
- Mon Aug 29 16:39:16 2016 error -15 reading relation 239966762
- Mon Aug 29 16:39:16 2016 error -9 reading relation 240008318
- Mon Aug 29 16:39:17 2016 error -15 reading relation 240073478
- Mon Aug 29 16:39:39 2016 error -15 reading relation 242616140
- Mon Aug 29 16:39:46 2016 error -9 reading relation 243525451
- Mon Aug 29 16:39:47 2016 error -15 reading relation 243621125
- Mon Aug 29 16:39:54 2016 error -15 reading relation 244392987
- Mon Aug 29 16:40:01 2016 error -15 reading relation 245127147
- Mon Aug 29 16:40:01 2016 error -9 reading relation 245150715
- Mon Aug 29 16:40:05 2016 error -15 reading relation 245564248
- Mon Aug 29 16:40:05 2016 error -1 reading relation 245573745
- Mon Aug 29 16:40:05 2016 error -15 reading relation 245583287
- Mon Aug 29 16:40:06 2016 error -11 reading relation 245628184
- Mon Aug 29 16:40:06 2016 error -11 reading relation 245628634
- Mon Aug 29 16:40:06 2016 error -11 reading relation 245629009
- Mon Aug 29 16:40:06 2016 error -9 reading relation 245661537
- Mon Aug 29 16:40:06 2016 error -15 reading relation 245694978
- Mon Aug 29 16:40:06 2016 error -11 reading relation 245695465
- Mon Aug 29 16:40:07 2016 error -15 reading relation 245744094
- Mon Aug 29 16:40:07 2016 error -11 reading relation 245744431
- Mon Aug 29 16:40:09 2016 error -15 reading relation 246003113
- Mon Aug 29 16:40:21 2016 error -9 reading relation 247439467
- Mon Aug 29 16:40:32 2016 error -1 reading relation 248693749
- Mon Aug 29 16:40:32 2016 error -9 reading relation 248703440
- Mon Aug 29 16:41:04 2016 skipped 70 relations with b > 2^32
- Mon Aug 29 16:41:04 2016 found 52080848 hash collisions in 250367681 relations
- Mon Aug 29 16:41:24 2016 commencing duplicate removal, pass 2
- Mon Aug 29 16:48:44 2016 found 52090284 duplicates and 198277397 unique relations
- Mon Aug 29 16:48:44 2016 memory use: 1321.5 MB
- Mon Aug 29 16:48:44 2016 reading ideals above 179896320
- Mon Aug 29 16:48:44 2016 commencing singleton removal, initial pass
- Mon Aug 29 17:24:56 2016 memory use: 3012.0 MB
- Mon Aug 29 17:24:57 2016 reading all ideals from disk
- Mon Aug 29 17:25:50 2016 memory use: 3234.7 MB
- Mon Aug 29 17:25:56 2016 commencing in-memory singleton removal
- Mon Aug 29 17:26:02 2016 begin with 198277397 relations and 156900899 unique ideals
- Mon Aug 29 17:27:13 2016 reduce to 132242352 relations and 84420411 ideals in 14 passes
- Mon Aug 29 17:27:13 2016 max relations containing the same ideal: 35
- Mon Aug 29 17:27:23 2016 reading ideals above 720000
- Mon Aug 29 17:27:23 2016 commencing singleton removal, initial pass
- Mon Aug 29 17:58:29 2016 memory use: 2756.0 MB
- Mon Aug 29 17:58:30 2016 reading all ideals from disk
- Mon Aug 29 17:59:57 2016 memory use: 5196.4 MB
- Mon Aug 29 18:00:11 2016 keeping 103784499 ideals with weight <= 200, target excess is 679151
- Mon Aug 29 18:00:26 2016 commencing in-memory singleton removal
- Mon Aug 29 18:00:37 2016 begin with 132242352 relations and 103784499 unique ideals
- Mon Aug 29 18:01:58 2016 reduce to 132230803 relations and 103772948 ideals in 7 passes
- Mon Aug 29 18:01:58 2016 max relations containing the same ideal: 200
- Mon Aug 29 18:02:54 2016 removing 10485697 relations and 8485697 ideals in 2000000 cliques
- Mon Aug 29 18:02:57 2016 commencing in-memory singleton removal
- Mon Aug 29 18:03:07 2016 begin with 121745106 relations and 103772948 unique ideals
- Mon Aug 29 18:04:32 2016 reduce to 121144141 relations and 94674992 ideals in 8 passes
- Mon Aug 29 18:04:32 2016 max relations containing the same ideal: 196
- Mon Aug 29 18:05:24 2016 removing 7977713 relations and 5977713 ideals in 2000000 cliques
- Mon Aug 29 18:05:27 2016 commencing in-memory singleton removal
- Mon Aug 29 18:05:36 2016 begin with 113166428 relations and 94674992 unique ideals
- Mon Aug 29 18:06:45 2016 reduce to 112764643 relations and 88288915 ideals in 7 passes
- Mon Aug 29 18:06:45 2016 max relations containing the same ideal: 188
- Mon Aug 29 18:07:33 2016 removing 7231012 relations and 5231012 ideals in 2000000 cliques
- Mon Aug 29 18:07:36 2016 commencing in-memory singleton removal
- Mon Aug 29 18:07:44 2016 begin with 105533631 relations and 88288915 unique ideals
- Mon Aug 29 18:08:48 2016 reduce to 105182101 relations and 82700435 ideals in 7 passes
- Mon Aug 29 18:08:48 2016 max relations containing the same ideal: 183
- Mon Aug 29 18:09:33 2016 removing 6853237 relations and 4853237 ideals in 2000000 cliques
- Mon Aug 29 18:09:36 2016 commencing in-memory singleton removal
- Mon Aug 29 18:09:44 2016 begin with 98328864 relations and 82700435 unique ideals
- Mon Aug 29 18:10:42 2016 reduce to 98000044 relations and 77512556 ideals in 7 passes
- Mon Aug 29 18:10:42 2016 max relations containing the same ideal: 173
- Mon Aug 29 18:11:24 2016 removing 6607633 relations and 4607633 ideals in 2000000 cliques
- Mon Aug 29 18:11:27 2016 commencing in-memory singleton removal
- Mon Aug 29 18:11:34 2016 begin with 91392411 relations and 77512556 unique ideals
- Mon Aug 29 18:12:28 2016 reduce to 91075109 relations and 72581924 ideals in 7 passes
- Mon Aug 29 18:12:28 2016 max relations containing the same ideal: 169
- Mon Aug 29 18:13:08 2016 removing 6437733 relations and 4437733 ideals in 2000000 cliques
- Mon Aug 29 18:13:10 2016 commencing in-memory singleton removal
- Mon Aug 29 18:13:17 2016 begin with 84637376 relations and 72581924 unique ideals
- Mon Aug 29 18:14:07 2016 reduce to 84323774 relations and 67824335 ideals in 7 passes
- Mon Aug 29 18:14:07 2016 max relations containing the same ideal: 161
- Mon Aug 29 18:14:43 2016 removing 6313893 relations and 4313893 ideals in 2000000 cliques
- Mon Aug 29 18:14:45 2016 commencing in-memory singleton removal
- Mon Aug 29 18:14:51 2016 begin with 78009881 relations and 67824335 unique ideals
- Mon Aug 29 18:15:37 2016 reduce to 77693046 relations and 63187134 ideals in 7 passes
- Mon Aug 29 18:15:37 2016 max relations containing the same ideal: 151
- Mon Aug 29 18:16:12 2016 removing 6220532 relations and 4220532 ideals in 2000000 cliques
- Mon Aug 29 18:16:13 2016 commencing in-memory singleton removal
- Mon Aug 29 18:16:19 2016 begin with 71472514 relations and 63187134 unique ideals
- Mon Aug 29 18:16:55 2016 reduce to 71150154 relations and 58637073 ideals in 6 passes
- Mon Aug 29 18:16:55 2016 max relations containing the same ideal: 140
- Mon Aug 29 18:17:27 2016 removing 6143081 relations and 4143081 ideals in 2000000 cliques
- Mon Aug 29 18:17:28 2016 commencing in-memory singleton removal
- Mon Aug 29 18:17:33 2016 begin with 65007073 relations and 58637073 unique ideals
- Mon Aug 29 18:18:05 2016 reduce to 64672858 relations and 54151723 ideals in 6 passes
- Mon Aug 29 18:18:05 2016 max relations containing the same ideal: 134
- Mon Aug 29 18:18:34 2016 removing 6086779 relations and 4086779 ideals in 2000000 cliques
- Mon Aug 29 18:18:36 2016 commencing in-memory singleton removal
- Mon Aug 29 18:18:40 2016 begin with 58586079 relations and 54151723 unique ideals
- Mon Aug 29 18:19:14 2016 reduce to 58233460 relations and 49703028 ideals in 7 passes
- Mon Aug 29 18:19:14 2016 max relations containing the same ideal: 123
- Mon Aug 29 18:19:40 2016 removing 6043574 relations and 4043574 ideals in 2000000 cliques
- Mon Aug 29 18:19:41 2016 commencing in-memory singleton removal
- Mon Aug 29 18:19:45 2016 begin with 52189886 relations and 49703028 unique ideals
- Mon Aug 29 18:20:15 2016 reduce to 51809525 relations and 45268191 ideals in 7 passes
- Mon Aug 29 18:20:15 2016 max relations containing the same ideal: 113
- Mon Aug 29 18:20:38 2016 removing 6011865 relations and 4011865 ideals in 2000000 cliques
- Mon Aug 29 18:20:40 2016 commencing in-memory singleton removal
- Mon Aug 29 18:20:43 2016 begin with 45797660 relations and 45268191 unique ideals
- Mon Aug 29 18:21:12 2016 reduce to 45373429 relations and 40818446 ideals in 8 passes
- Mon Aug 29 18:21:12 2016 max relations containing the same ideal: 104
- Mon Aug 29 18:21:33 2016 removing 6004256 relations and 4004256 ideals in 2000000 cliques
- Mon Aug 29 18:21:34 2016 commencing in-memory singleton removal
- Mon Aug 29 18:21:37 2016 begin with 39369173 relations and 40818446 unique ideals
- Mon Aug 29 18:22:02 2016 reduce to 38878124 relations and 36304772 ideals in 8 passes
- Mon Aug 29 18:22:02 2016 max relations containing the same ideal: 97
- Mon Aug 29 18:22:20 2016 removing 5485076 relations and 3699540 ideals in 1785536 cliques
- Mon Aug 29 18:22:21 2016 commencing in-memory singleton removal
- Mon Aug 29 18:22:24 2016 begin with 33393048 relations and 36304772 unique ideals
- Mon Aug 29 18:22:42 2016 reduce to 32880425 relations and 32072491 ideals in 7 passes
- Mon Aug 29 18:22:42 2016 max relations containing the same ideal: 90
- Mon Aug 29 18:22:57 2016 removing 127508 relations and 107390 ideals in 20118 cliques
- Mon Aug 29 18:22:57 2016 commencing in-memory singleton removal
- Mon Aug 29 18:23:00 2016 begin with 32752917 relations and 32072491 unique ideals
- Mon Aug 29 18:23:10 2016 reduce to 32752549 relations and 31964732 ideals in 4 passes
- Mon Aug 29 18:23:10 2016 max relations containing the same ideal: 88
- Mon Aug 29 18:23:16 2016 relations with 0 large ideals: 25724
- Mon Aug 29 18:23:16 2016 relations with 1 large ideals: 11354
- Mon Aug 29 18:23:16 2016 relations with 2 large ideals: 143973
- Mon Aug 29 18:23:16 2016 relations with 3 large ideals: 932071
- Mon Aug 29 18:23:16 2016 relations with 4 large ideals: 3249302
- Mon Aug 29 18:23:16 2016 relations with 5 large ideals: 6747647
- Mon Aug 29 18:23:16 2016 relations with 6 large ideals: 8753722
- Mon Aug 29 18:23:16 2016 relations with 7+ large ideals: 12888756
- Mon Aug 29 18:23:16 2016 commencing 2-way merge
- Mon Aug 29 18:23:35 2016 reduce to 22264810 relation sets and 21476993 unique ideals
- Mon Aug 29 18:23:35 2016 commencing full merge
- Mon Aug 29 18:32:20 2016 memory use: 2800.0 MB
- Mon Aug 29 18:32:23 2016 found 9954934 cycles, need 9921193
- Mon Aug 29 18:32:23 2016 weight of 9921193 cycles is about 1191145811 (120.06/cycle)
- Mon Aug 29 18:32:23 2016 distribution of cycle lengths:
- Mon Aug 29 18:32:23 2016 1 relations: 333107
- Mon Aug 29 18:32:23 2016 2 relations: 530583
- Mon Aug 29 18:32:23 2016 3 relations: 664333
- Mon Aug 29 18:32:23 2016 4 relations: 716234
- Mon Aug 29 18:32:23 2016 5 relations: 754419
- Mon Aug 29 18:32:23 2016 6 relations: 764321
- Mon Aug 29 18:32:23 2016 7 relations: 755489
- Mon Aug 29 18:32:23 2016 8 relations: 721491
- Mon Aug 29 18:32:23 2016 9 relations: 676029
- Mon Aug 29 18:32:23 2016 10+ relations: 4005187
- Mon Aug 29 18:32:23 2016 heaviest cycle: 28 relations
- Mon Aug 29 18:32:25 2016 commencing cycle optimization
- Mon Aug 29 18:32:43 2016 start with 89082952 relations
- Mon Aug 29 18:36:56 2016 pruned 4476749 relations
- Mon Aug 29 18:36:56 2016 memory use: 2281.9 MB
- Mon Aug 29 18:36:56 2016 distribution of cycle lengths:
- Mon Aug 29 18:36:56 2016 1 relations: 333107
- Mon Aug 29 18:36:56 2016 2 relations: 544673
- Mon Aug 29 18:36:56 2016 3 relations: 694150
- Mon Aug 29 18:36:56 2016 4 relations: 749545
- Mon Aug 29 18:36:56 2016 5 relations: 797984
- Mon Aug 29 18:36:56 2016 6 relations: 806894
- Mon Aug 29 18:36:56 2016 7 relations: 801286
- Mon Aug 29 18:36:56 2016 8 relations: 760514
- Mon Aug 29 18:36:56 2016 9 relations: 711887
- Mon Aug 29 18:36:56 2016 10+ relations: 3721153
- Mon Aug 29 18:36:56 2016 heaviest cycle: 28 relations
- Mon Aug 29 18:37:14 2016 RelProcTime: 9372
- Mon Aug 29 18:37:14 2016
- Mon Aug 29 18:37:14 2016 commencing linear algebra
- Mon Aug 29 18:37:16 2016 read 9921193 cycles
- Mon Aug 29 18:37:37 2016 cycles contain 32366765 unique relations
- Mon Aug 29 18:46:15 2016 read 32366765 relations
- Mon Aug 29 18:47:12 2016 using 20 quadratic characters above 2147480942
- Mon Aug 29 18:49:36 2016 building initial matrix
- Mon Aug 29 18:56:31 2016 memory use: 4008.6 MB
- Mon Aug 29 18:57:11 2016 read 9921193 cycles
- Mon Aug 29 18:57:14 2016 matrix is 9921016 x 9921193 (4594.8 MB) with weight 1305544149 (131.59/col)
- Mon Aug 29 18:57:14 2016 sparse part has weight 1105277307 (111.41/col)
- Mon Aug 29 18:59:25 2016 filtering completed in 2 passes
- Mon Aug 29 18:59:28 2016 matrix is 9920883 x 9921060 (4594.7 MB) with weight 1305539072 (131.59/col)
- Mon Aug 29 18:59:28 2016 sparse part has weight 1105274998 (111.41/col)
- Mon Aug 29 19:01:37 2016 matrix starts at (0, 0)
- Mon Aug 29 19:01:39 2016 matrix is 9920883 x 9921060 (4594.7 MB) with weight 1305539072 (131.59/col)
- Mon Aug 29 19:01:39 2016 sparse part has weight 1105274998 (111.41/col)
- Mon Aug 29 19:01:39 2016 saving the first 48 matrix rows for later
- Mon Aug 29 19:01:43 2016 matrix includes 64 packed rows
- Mon Aug 29 19:01:44 2016 matrix is 9920835 x 9921060 (4424.8 MB) with weight 1125713949 (113.47/col)
- Mon Aug 29 19:01:44 2016 sparse part has weight 1060715320 (106.92/col)
- Mon Aug 29 19:01:44 2016 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
- Mon Aug 29 19:02:42 2016 commencing Lanczos iteration (4 threads)
- Mon Aug 29 19:02:42 2016 memory use: 3777.3 MB
- Mon Aug 29 19:03:31 2016 linear algebra at 0.0%, ETA 85h35m
- Mon Aug 29 19:03:46 2016 checkpointing every 120000 dimensions
- Fri Sep 02 07:07:24 2016 lanczos halted after 156890 iterations (dim = 9920833)
- Fri Sep 02 07:07:50 2016 recovered 35 nontrivial dependencies
- Fri Sep 02 07:07:59 2016 BLanczosTime: 304245
- Fri Sep 02 07:07:59 2016
- Fri Sep 02 07:07:59 2016 commencing square root phase
- Fri Sep 02 07:07:59 2016 handling dependencies 1 to 64
- Fri Sep 02 07:07:59 2016 reading relations for dependency 1
- Fri Sep 02 07:08:03 2016 read 4961487 cycles
- Fri Sep 02 07:08:12 2016 cycles contain 16187840 unique relations
- Fri Sep 02 07:14:48 2016 read 16187840 relations
- Fri Sep 02 07:16:14 2016 multiplying 16187840 relations
- Fri Sep 02 07:30:24 2016 multiply complete, coefficients have about 449.70 million bits
- Fri Sep 02 07:30:29 2016 initial square root is modulo 117231979
- Fri Sep 02 07:48:06 2016 GCD is N, no factor found
- Fri Sep 02 07:48:06 2016 reading relations for dependency 2
- Fri Sep 02 07:48:08 2016 read 4961562 cycles
- Fri Sep 02 07:48:18 2016 cycles contain 16188134 unique relations
- Fri Sep 02 08:02:17 2016 read 16188134 relations
- Fri Sep 02 08:03:46 2016 multiplying 16188134 relations
- Fri Sep 02 08:18:35 2016 multiply complete, coefficients have about 449.71 million bits
- Fri Sep 02 08:18:41 2016 initial square root is modulo 117304483
- Fri Sep 02 08:37:06 2016 GCD is N, no factor found
- Fri Sep 02 08:37:06 2016 reading relations for dependency 3
- Fri Sep 02 08:37:12 2016 read 4960890 cycles
- Fri Sep 02 08:37:22 2016 cycles contain 16186336 unique relations
- Fri Sep 02 09:26:11 2016 read 16186336 relations
- Fri Sep 02 09:27:41 2016 multiplying 16186336 relations
- Fri Sep 02 09:42:26 2016 multiply complete, coefficients have about 449.67 million bits
- Fri Sep 02 09:42:32 2016 initial square root is modulo 117067429
- Fri Sep 02 10:00:44 2016 GCD is N, no factor found
- Fri Sep 02 10:00:44 2016 reading relations for dependency 4
- Fri Sep 02 10:00:54 2016 read 4959089 cycles
- Fri Sep 02 10:01:04 2016 cycles contain 16181420 unique relations
- Fri Sep 02 10:49:47 2016 read 16181420 relations
- Fri Sep 02 10:51:15 2016 multiplying 16181420 relations
- Fri Sep 02 11:06:25 2016 multiply complete, coefficients have about 449.52 million bits
- Fri Sep 02 11:06:31 2016 initial square root is modulo 116363347
- Fri Sep 02 11:25:11 2016 sqrtTime: 15432
- Fri Sep 02 11:25:11 2016 prp70 factor: 5333961928061629960150462260768119892810996483380373443923472443400927
- Fri Sep 02 11:25:11 2016 prp130 factor: 5292021281536722491608483649026472667095649877784685592077926761929144842006039926290345037575215342821720544618211111514691321101
- Fri Sep 02 11:25:11 2016 elapsed time 91:24:10
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