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- Tue Jan 22 07:20:19 2019
- Tue Jan 22 07:20:20 2019
- Tue Jan 22 07:20:21 2019 Msieve v. 1.53 (SVN 988M)
- Tue Jan 22 07:20:21 2019 random seeds: 2b611bfb bcb180f2
- Tue Jan 22 07:20:21 2019 factoring 15104676021470222558017795975411397527406747816183282341786633430066395086665346906735174287761827324004427192802681930800945412252335842513486887265268441764183075885331501641387676156928751107375616227765628223741604369841 (224 digits)
- Tue Jan 22 07:20:22 2019 searching for 15-digit factors
- Tue Jan 22 07:20:23 2019 commencing number field sieve (224-digit input)
- Tue Jan 22 07:20:23 2019 R0: 749048330965186233494494102694564493649
- Tue Jan 22 07:20:23 2019 R1: -8862938119652501095929
- Tue Jan 22 07:20:23 2019 A0: 1
- Tue Jan 22 07:20:23 2019 A1: -1
- Tue Jan 22 07:20:23 2019 A2: 1
- Tue Jan 22 07:20:23 2019 A3: -1
- Tue Jan 22 07:20:23 2019 A4: 1
- Tue Jan 22 07:20:23 2019 A5: -1
- Tue Jan 22 07:20:23 2019 A6: 1
- Tue Jan 22 07:20:23 2019 skew 1.00, size 1.520e-11, alpha 2.428, combined = 8.659e-13 rroots = 0
- Tue Jan 22 07:20:23 2019
- Tue Jan 22 07:20:23 2019 commencing relation filtering
- Tue Jan 22 07:20:23 2019 setting target matrix density to 120.0
- Tue Jan 22 07:20:23 2019 estimated available RAM is 65536.0 MB
- Tue Jan 22 07:20:23 2019 commencing duplicate removal, pass 1
- Tue Jan 22 07:21:05 2019 error -1 reading relation 5081002
- [280 more error lines]
- Tue Jan 22 07:37:44 2019 error -5 reading relation 126428613
- Tue Jan 22 07:37:46 2019 skipped 24 relations with b > 2^32
- Tue Jan 22 07:37:46 2019 skipped 180 relations with composite factors
- Tue Jan 22 07:37:46 2019 found 24971269 hash collisions in 126634574 relations
- Tue Jan 22 07:37:55 2019 added 2438534 free relations
- Tue Jan 22 07:37:55 2019 commencing duplicate removal, pass 2
- Tue Jan 22 07:40:03 2019 found 24158348 duplicates and 104914760 unique relations
- Tue Jan 22 07:40:03 2019 memory use: 660.8 MB
- Tue Jan 22 07:40:03 2019 reading ideals above 720000
- Tue Jan 22 07:40:03 2019 commencing singleton removal, initial pass
- Tue Jan 22 07:54:23 2019 memory use: 2756.0 MB
- Tue Jan 22 07:54:23 2019 reading all ideals from disk
- Tue Jan 22 07:54:26 2019 memory use: 3987.5 MB
- Tue Jan 22 07:54:36 2019 keeping 92036609 ideals with weight <= 200, target excess is 544145
- Tue Jan 22 07:54:48 2019 commencing in-memory singleton removal
- Tue Jan 22 07:54:57 2019 begin with 104914760 relations and 92036609 unique ideals
- Tue Jan 22 07:56:22 2019 reduce to 72497102 relations and 56611007 ideals in 12 passes
- Tue Jan 22 07:56:24 2019 max relations containing the same ideal: 167
- Tue Jan 22 07:56:56 2019 removing 8267246 relations and 6267246 ideals in 2000000 cliques
- Tue Jan 22 07:56:59 2019 commencing in-memory singleton removal
- Tue Jan 22 07:57:04 2019 begin with 64229856 relations and 56611007 unique ideals
- Tue Jan 22 07:57:50 2019 reduce to 63442618 relations and 49529946 ideals in 8 passes
- Tue Jan 22 07:57:50 2019 max relations containing the same ideal: 152
- Tue Jan 22 07:58:17 2019 removing 6712793 relations and 4712793 ideals in 2000000 cliques
- Tue Jan 22 07:58:20 2019 commencing in-memory singleton removal
- Tue Jan 22 07:58:25 2019 begin with 56729825 relations and 49529946 unique ideals
- Tue Jan 22 07:58:59 2019 reduce to 56178877 relations and 44248936 ideals in 7 passes
- Tue Jan 22 07:58:59 2019 max relations containing the same ideal: 141
- Tue Jan 22 07:59:23 2019 removing 6222120 relations and 4222120 ideals in 2000000 cliques
- Tue Jan 22 07:59:26 2019 commencing in-memory singleton removal
- Tue Jan 22 07:59:30 2019 begin with 49956757 relations and 44248936 unique ideals
- Tue Jan 22 08:00:04 2019 reduce to 49456131 relations and 39509595 ideals in 8 passes
- Tue Jan 22 08:00:04 2019 max relations containing the same ideal: 129
- Tue Jan 22 08:00:26 2019 removing 5975335 relations and 3975335 ideals in 2000000 cliques
- Tue Jan 22 08:00:28 2019 commencing in-memory singleton removal
- Tue Jan 22 08:00:31 2019 begin with 43480796 relations and 39509595 unique ideals
- Tue Jan 22 08:00:57 2019 reduce to 42991917 relations and 35027412 ideals in 7 passes
- Tue Jan 22 08:00:57 2019 max relations containing the same ideal: 114
- Tue Jan 22 08:01:15 2019 removing 5815089 relations and 3815089 ideals in 2000000 cliques
- Tue Jan 22 08:01:17 2019 commencing in-memory singleton removal
- Tue Jan 22 08:01:20 2019 begin with 37176828 relations and 35027412 unique ideals
- Tue Jan 22 08:01:42 2019 reduce to 36676715 relations and 30691593 ideals in 7 passes
- Tue Jan 22 08:01:42 2019 max relations containing the same ideal: 107
- Tue Jan 22 08:01:57 2019 removing 5698101 relations and 3698101 ideals in 2000000 cliques
- Tue Jan 22 08:01:59 2019 commencing in-memory singleton removal
- Tue Jan 22 08:02:01 2019 begin with 30978614 relations and 30691593 unique ideals
- Tue Jan 22 08:02:16 2019 reduce to 30446450 relations and 26436353 ideals in 6 passes
- Tue Jan 22 08:02:16 2019 max relations containing the same ideal: 92
- Tue Jan 22 08:02:29 2019 removing 5603236 relations and 3603236 ideals in 2000000 cliques
- Tue Jan 22 08:02:31 2019 commencing in-memory singleton removal
- Tue Jan 22 08:02:33 2019 begin with 24843214 relations and 26436353 unique ideals
- Tue Jan 22 08:02:46 2019 reduce to 24239484 relations and 22195762 ideals in 7 passes
- Tue Jan 22 08:02:46 2019 max relations containing the same ideal: 78
- Tue Jan 22 08:02:56 2019 removing 4131171 relations and 2718658 ideals in 1412513 cliques
- Tue Jan 22 08:02:58 2019 commencing in-memory singleton removal
- Tue Jan 22 08:02:59 2019 begin with 20108313 relations and 22195762 unique ideals
- Tue Jan 22 08:03:11 2019 reduce to 19650507 relations and 18995844 ideals in 8 passes
- Tue Jan 22 08:03:11 2019 max relations containing the same ideal: 68
- Tue Jan 22 08:03:19 2019 removing 134987 relations and 111533 ideals in 23454 cliques
- Tue Jan 22 08:03:20 2019 commencing in-memory singleton removal
- Tue Jan 22 08:03:21 2019 begin with 19515520 relations and 18995844 unique ideals
- Tue Jan 22 08:03:27 2019 reduce to 19514794 relations and 18883584 ideals in 4 passes
- Tue Jan 22 08:03:27 2019 max relations containing the same ideal: 68
- Tue Jan 22 08:03:30 2019 relations with 0 large ideals: 40566
- Tue Jan 22 08:03:30 2019 relations with 1 large ideals: 13086
- Tue Jan 22 08:03:30 2019 relations with 2 large ideals: 124201
- Tue Jan 22 08:03:30 2019 relations with 3 large ideals: 732983
- Tue Jan 22 08:03:30 2019 relations with 4 large ideals: 2335582
- Tue Jan 22 08:03:30 2019 relations with 5 large ideals: 4394850
- Tue Jan 22 08:03:30 2019 relations with 6 large ideals: 5132183
- Tue Jan 22 08:03:30 2019 relations with 7+ large ideals: 6741343
- Tue Jan 22 08:03:30 2019 commencing 2-way merge
- Tue Jan 22 08:03:42 2019 reduce to 13612872 relation sets and 12981662 unique ideals
- Tue Jan 22 08:03:42 2019 commencing full merge
- Tue Jan 22 08:09:20 2019 memory use: 1758.7 MB
- Tue Jan 22 08:09:24 2019 found 6065496 cycles, need 6049862
- Tue Jan 22 08:09:24 2019 weight of 6049862 cycles is about 726322009 (120.06/cycle)
- Tue Jan 22 08:09:24 2019 distribution of cycle lengths:
- Tue Jan 22 08:09:24 2019 1 relations: 185085
- Tue Jan 22 08:09:24 2019 2 relations: 301872
- Tue Jan 22 08:09:24 2019 3 relations: 388508
- Tue Jan 22 08:09:24 2019 4 relations: 423943
- Tue Jan 22 08:09:24 2019 5 relations: 448564
- Tue Jan 22 08:09:24 2019 6 relations: 455406
- Tue Jan 22 08:09:24 2019 7 relations: 449255
- Tue Jan 22 08:09:24 2019 8 relations: 431344
- Tue Jan 22 08:09:24 2019 9 relations: 405677
- Tue Jan 22 08:09:24 2019 10+ relations: 2560208
- Tue Jan 22 08:09:24 2019 heaviest cycle: 28 relations
- Tue Jan 22 08:09:26 2019 commencing cycle optimization
- Tue Jan 22 08:09:41 2019 start with 56312563 relations
- Tue Jan 22 08:12:18 2019 pruned 3035763 relations
- Tue Jan 22 08:12:19 2019 memory use: 1392.7 MB
- Tue Jan 22 08:12:20 2019 distribution of cycle lengths:
- Tue Jan 22 08:12:20 2019 1 relations: 185085
- Tue Jan 22 08:12:20 2019 2 relations: 309690
- Tue Jan 22 08:12:20 2019 3 relations: 406028
- Tue Jan 22 08:12:20 2019 4 relations: 444849
- Tue Jan 22 08:12:20 2019 5 relations: 475496
- Tue Jan 22 08:12:20 2019 6 relations: 482667
- Tue Jan 22 08:12:20 2019 7 relations: 478152
- Tue Jan 22 08:12:20 2019 8 relations: 457427
- Tue Jan 22 08:12:20 2019 9 relations: 428995
- Tue Jan 22 08:12:20 2019 10+ relations: 2381473
- Tue Jan 22 08:12:20 2019 heaviest cycle: 28 relations
- Tue Jan 22 08:12:37 2019 RelProcTime: 3134
- Tue Jan 22 08:12:37 2019
- Tue Jan 22 08:12:37 2019 commencing linear algebra
- Tue Jan 22 08:12:39 2019 read 6049862 cycles
- Tue Jan 22 08:12:51 2019 cycles contain 19219794 unique relations
- Tue Jan 22 08:15:58 2019 read 19219794 relations
- Tue Jan 22 08:16:35 2019 using 20 quadratic characters above 4294917295
- Tue Jan 22 08:17:51 2019 building initial matrix
- Tue Jan 22 08:21:45 2019 memory use: 2424.1 MB
- Tue Jan 22 08:21:51 2019 read 6049862 cycles
- Tue Jan 22 08:21:52 2019 matrix is 6049685 x 6049862 (2816.5 MB) with weight 800861263 (132.38/col)
- Tue Jan 22 08:21:52 2019 sparse part has weight 671790176 (111.04/col)
- Tue Jan 22 08:23:15 2019 filtering completed in 2 passes
- Tue Jan 22 08:23:16 2019 matrix is 6049619 x 6049796 (2816.5 MB) with weight 800858789 (132.38/col)
- Tue Jan 22 08:23:16 2019 sparse part has weight 671789172 (111.04/col)
- Tue Jan 22 08:24:40 2019 matrix starts at (0, 0)
- Tue Jan 22 08:24:41 2019 matrix is 6049619 x 6049796 (2816.5 MB) with weight 800858789 (132.38/col)
- Tue Jan 22 08:24:41 2019 sparse part has weight 671789172 (111.04/col)
- Tue Jan 22 08:24:41 2019 saving the first 48 matrix rows for later
- Tue Jan 22 08:24:42 2019 matrix includes 64 packed rows
- Tue Jan 22 08:24:43 2019 matrix is 6049571 x 6049796 (2691.6 MB) with weight 691323844 (114.27/col)
- Tue Jan 22 08:24:43 2019 sparse part has weight 645077129 (106.63/col)
- Tue Jan 22 08:24:43 2019 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
- Tue Jan 22 08:25:19 2019 commencing Lanczos iteration (8 threads)
- Tue Jan 22 08:25:19 2019 memory use: 2279.4 MB
- Tue Jan 22 08:25:32 2019 linear algebra at 0.0%, ETA 13h15m
- Tue Jan 22 08:25:36 2019 checkpointing every 460000 dimensions
- Tue Jan 22 22:12:04 2019 lanczos halted after 95669 iterations (dim = 6049571)
- Tue Jan 22 22:12:20 2019 recovered 38 nontrivial dependencies
- Tue Jan 22 22:12:23 2019 BLanczosTime: 50386
- Tue Jan 22 22:12:23 2019
- Tue Jan 22 22:12:23 2019 commencing square root phase
- Tue Jan 22 22:12:23 2019 handling dependencies 1 to 64
- Tue Jan 22 22:12:23 2019 reading relations for dependency 1
- Tue Jan 22 22:12:29 2019 read 3024133 cycles
- Tue Jan 22 22:12:35 2019 cycles contain 9610298 unique relations
- Tue Jan 22 22:15:20 2019 read 9610298 relations
- Tue Jan 22 22:16:02 2019 multiplying 9610298 relations
- Tue Jan 22 22:22:27 2019 multiply complete, coefficients have about 236.62 million bits
- Tue Jan 22 22:22:29 2019 initial square root is modulo 310266799
- Tue Jan 22 22:29:13 2019 GCD is 1, no factor found
- Tue Jan 22 22:29:14 2019 reading relations for dependency 2
- Tue Jan 22 22:29:15 2019 read 3026439 cycles
- Tue Jan 22 22:29:21 2019 cycles contain 9612916 unique relations
- Tue Jan 22 22:31:45 2019 read 9612916 relations
- Tue Jan 22 22:32:27 2019 multiplying 9612916 relations
- Tue Jan 22 22:38:51 2019 multiply complete, coefficients have about 236.69 million bits
- Tue Jan 22 22:38:53 2019 initial square root is modulo 311938793
- Tue Jan 22 22:45:31 2019 GCD is N, no factor found
- Tue Jan 22 22:45:31 2019 reading relations for dependency 3
- Tue Jan 22 22:45:33 2019 read 3025505 cycles
- Tue Jan 22 22:45:39 2019 cycles contain 9613458 unique relations
- Tue Jan 22 22:48:03 2019 read 9613458 relations
- Tue Jan 22 22:48:45 2019 multiplying 9613458 relations
- Tue Jan 22 22:55:13 2019 multiply complete, coefficients have about 236.70 million bits
- Tue Jan 22 22:55:15 2019 initial square root is modulo 312256957
- Tue Jan 22 23:01:52 2019 GCD is N, no factor found
- Tue Jan 22 23:01:52 2019 reading relations for dependency 4
- Tue Jan 22 23:01:54 2019 read 3023926 cycles
- Tue Jan 22 23:02:00 2019 cycles contain 9604792 unique relations
- Tue Jan 22 23:04:24 2019 read 9604792 relations
- Tue Jan 22 23:05:06 2019 multiplying 9604792 relations
- Tue Jan 22 23:11:31 2019 multiply complete, coefficients have about 236.49 million bits
- Tue Jan 22 23:11:32 2019 initial square root is modulo 306739627
- Tue Jan 22 23:18:19 2019 sqrtTime: 3956
- Tue Jan 22 23:18:20 2019 p64 factor: 1185220881247715779150691844600461115860505995578347228155372501
- Tue Jan 22 23:18:20 2019 p161 factor: 12744186556660307822819158722319552941126222626630436539332963912773183220779112259431919086675490187286909951669403498263208466692321901135358587671375114847341
- Tue Jan 22 23:18:20 2019 elapsed time 15:57:59
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