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- Fri May 20 18:56:20 2016 Msieve v. 1.53 (SVN Unversioned directory)
- Fri May 20 18:56:20 2016 random seeds: 264774e3 c5317bbf
- Fri May 20 18:56:20 2016 factoring 2045334897204996663165494748012110909972744068199100259394889493008253185525493860797045991190268958805524632894735350480732326124497408115343232270267700492689246338359206678216334083289849 (190 digits)
- Fri May 20 18:56:21 2016 searching for 15-digit factors
- Fri May 20 18:56:22 2016 commencing number field sieve (190-digit input)
- Fri May 20 18:56:22 2016 R0: 303869538891536196286006028740295917568
- Fri May 20 18:56:22 2016 R1: -582076609134674072265625
- Fri May 20 18:56:22 2016 A0: 68
- Fri May 20 18:56:22 2016 A1: 0
- Fri May 20 18:56:22 2016 A2: 0
- Fri May 20 18:56:22 2016 A3: 0
- Fri May 20 18:56:22 2016 A4: 0
- Fri May 20 18:56:22 2016 A5: 0
- Fri May 20 18:56:22 2016 A6: 1
- Fri May 20 18:56:22 2016 skew 2.02, size 1.486e-11, alpha 1.722, combined = 8.632e-13 rroots = 0
- Fri May 20 18:56:22 2016
- Fri May 20 18:56:22 2016 commencing relation filtering
- Fri May 20 18:56:22 2016 setting target matrix density to 116.0
- Fri May 20 18:56:22 2016 estimated available RAM is 16039.4 MB
- Fri May 20 18:56:22 2016 commencing duplicate removal, pass 1
- Fri May 20 18:57:28 2016 error -9 reading relation 7274231
- Fri May 20 18:57:29 2016 error -9 reading relation 7331192
- Fri May 20 19:00:17 2016 error -15 reading relation 25795519
- Fri May 20 19:00:27 2016 error -9 reading relation 27021954
- Fri May 20 19:00:31 2016 error -9 reading relation 27556601
- Fri May 20 19:00:59 2016 error -15 reading relation 31056805
- Fri May 20 19:07:11 2016 error -1 reading relation 69490375
- Fri May 20 19:08:05 2016 error -15 reading relation 77145459
- Fri May 20 19:08:17 2016 error -15 reading relation 78766749
- Fri May 20 19:08:18 2016 error -9 reading relation 78962745
- Fri May 20 19:08:18 2016 error -15 reading relation 79010804
- Fri May 20 19:08:19 2016 error -15 reading relation 79083812
- Fri May 20 19:08:19 2016 error -5 reading relation 79103267
- Fri May 20 19:10:24 2016 error -1 reading relation 95885062
- Fri May 20 19:11:31 2016 error -9 reading relation 103472367
- Fri May 20 19:11:32 2016 error -9 reading relation 103653396
- Fri May 20 19:11:50 2016 error -9 reading relation 105438667
- Fri May 20 19:11:51 2016 error -5 reading relation 105611823
- Fri May 20 19:11:53 2016 error -1 reading relation 105833863
- Fri May 20 19:11:55 2016 error -15 reading relation 106174698
- Fri May 20 19:12:42 2016 skipped 5 relations with b > 2^32
- Fri May 20 19:12:42 2016 skipped 11 relations with composite factors
- Fri May 20 19:12:42 2016 found 20499215 hash collisions in 111539247 relations
- Fri May 20 19:12:53 2016 commencing duplicate removal, pass 2
- Fri May 20 19:13:25 2016 found 19601033 duplicates and 91938214 unique relations
- Fri May 20 19:13:25 2016 memory use: 660.8 MB
- Fri May 20 19:13:25 2016 reading ideals above 97845248
- Fri May 20 19:13:25 2016 commencing singleton removal, initial pass
- Fri May 20 19:21:16 2016 memory use: 1506.0 MB
- Fri May 20 19:21:16 2016 reading all ideals from disk
- Fri May 20 19:21:18 2016 memory use: 1500.3 MB
- Fri May 20 19:21:21 2016 commencing in-memory singleton removal
- Fri May 20 19:21:23 2016 begin with 91938214 relations and 77934314 unique ideals
- Fri May 20 19:21:55 2016 reduce to 54711056 relations and 36409166 ideals in 16 passes
- Fri May 20 19:21:55 2016 max relations containing the same ideal: 35
- Fri May 20 19:21:58 2016 reading ideals above 720000
- Fri May 20 19:21:58 2016 commencing singleton removal, initial pass
- Fri May 20 19:28:24 2016 memory use: 1378.0 MB
- Fri May 20 19:28:24 2016 reading all ideals from disk
- Fri May 20 19:28:37 2016 memory use: 2069.8 MB
- Fri May 20 19:28:42 2016 keeping 47409078 ideals with weight <= 200, target excess is 284605
- Fri May 20 19:28:47 2016 commencing in-memory singleton removal
- Fri May 20 19:28:51 2016 begin with 54711057 relations and 47409078 unique ideals
- Fri May 20 19:29:25 2016 reduce to 54676637 relations and 47374622 ideals in 8 passes
- Fri May 20 19:29:25 2016 max relations containing the same ideal: 200
- Fri May 20 19:29:47 2016 removing 5888912 relations and 4888912 ideals in 1000000 cliques
- Fri May 20 19:29:49 2016 commencing in-memory singleton removal
- Fri May 20 19:29:52 2016 begin with 48787725 relations and 47374622 unique ideals
- Fri May 20 19:30:26 2016 reduce to 48270722 relations and 41956321 ideals in 11 passes
- Fri May 20 19:30:26 2016 max relations containing the same ideal: 194
- Fri May 20 19:30:42 2016 removing 4552087 relations and 3552087 ideals in 1000000 cliques
- Fri May 20 19:30:44 2016 commencing in-memory singleton removal
- Fri May 20 19:30:46 2016 begin with 43718635 relations and 41956321 unique ideals
- Fri May 20 19:31:08 2016 reduce to 43382852 relations and 38061424 ideals in 8 passes
- Fri May 20 19:31:08 2016 max relations containing the same ideal: 180
- Fri May 20 19:31:23 2016 removing 4130354 relations and 3130354 ideals in 1000000 cliques
- Fri May 20 19:31:24 2016 commencing in-memory singleton removal
- Fri May 20 19:31:27 2016 begin with 39252498 relations and 38061424 unique ideals
- Fri May 20 19:31:44 2016 reduce to 38954843 relations and 34626893 ideals in 7 passes
- Fri May 20 19:31:44 2016 max relations containing the same ideal: 170
- Fri May 20 19:31:57 2016 removing 3907408 relations and 2907408 ideals in 1000000 cliques
- Fri May 20 19:31:58 2016 commencing in-memory singleton removal
- Fri May 20 19:32:00 2016 begin with 35047435 relations and 34626893 unique ideals
- Fri May 20 19:32:15 2016 reduce to 34760234 relations and 31425742 ideals in 7 passes
- Fri May 20 19:32:15 2016 max relations containing the same ideal: 157
- Fri May 20 19:32:27 2016 removing 3762627 relations and 2762627 ideals in 1000000 cliques
- Fri May 20 19:32:28 2016 commencing in-memory singleton removal
- Fri May 20 19:32:30 2016 begin with 30997607 relations and 31425742 unique ideals
- Fri May 20 19:32:47 2016 reduce to 30707435 relations and 28365730 ideals in 9 passes
- Fri May 20 19:32:47 2016 max relations containing the same ideal: 145
- Fri May 20 19:32:58 2016 removing 3658221 relations and 2658221 ideals in 1000000 cliques
- Fri May 20 19:32:59 2016 commencing in-memory singleton removal
- Fri May 20 19:33:00 2016 begin with 27049214 relations and 28365730 unique ideals
- Fri May 20 19:33:13 2016 reduce to 26747623 relations and 25397463 ideals in 8 passes
- Fri May 20 19:33:13 2016 max relations containing the same ideal: 129
- Fri May 20 19:33:22 2016 removing 3582654 relations and 2582654 ideals in 1000000 cliques
- Fri May 20 19:33:23 2016 commencing in-memory singleton removal
- Fri May 20 19:33:25 2016 begin with 23164969 relations and 25397463 unique ideals
- Fri May 20 19:33:36 2016 reduce to 22834929 relations and 22474308 ideals in 8 passes
- Fri May 20 19:33:36 2016 max relations containing the same ideal: 121
- Fri May 20 19:33:44 2016 removing 199231 relations and 168752 ideals in 30479 cliques
- Fri May 20 19:33:44 2016 commencing in-memory singleton removal
- Fri May 20 19:33:45 2016 begin with 22635698 relations and 22474308 unique ideals
- Fri May 20 19:33:52 2016 reduce to 22634705 relations and 22304562 ideals in 5 passes
- Fri May 20 19:33:52 2016 max relations containing the same ideal: 119
- Fri May 20 19:33:57 2016 relations with 0 large ideals: 10640
- Fri May 20 19:33:57 2016 relations with 1 large ideals: 2457
- Fri May 20 19:33:57 2016 relations with 2 large ideals: 24427
- Fri May 20 19:33:57 2016 relations with 3 large ideals: 215382
- Fri May 20 19:33:57 2016 relations with 4 large ideals: 1027570
- Fri May 20 19:33:57 2016 relations with 5 large ideals: 2948440
- Fri May 20 19:33:57 2016 relations with 6 large ideals: 5287604
- Fri May 20 19:33:57 2016 relations with 7+ large ideals: 13118185
- Fri May 20 19:33:57 2016 commencing 2-way merge
- Fri May 20 19:34:07 2016 reduce to 14957546 relation sets and 14627403 unique ideals
- Fri May 20 19:34:07 2016 commencing full merge
- Fri May 20 19:39:11 2016 memory use: 2005.1 MB
- Fri May 20 19:39:12 2016 found 6831030 cycles, need 6829603
- Fri May 20 19:39:14 2016 weight of 6829603 cycles is about 792300856 (116.01/cycle)
- Fri May 20 19:39:14 2016 distribution of cycle lengths:
- Fri May 20 19:39:14 2016 1 relations: 269530
- Fri May 20 19:39:14 2016 2 relations: 432313
- Fri May 20 19:39:14 2016 3 relations: 513540
- Fri May 20 19:39:14 2016 4 relations: 527295
- Fri May 20 19:39:14 2016 5 relations: 532124
- Fri May 20 19:39:14 2016 6 relations: 516612
- Fri May 20 19:39:14 2016 7 relations: 499257
- Fri May 20 19:39:14 2016 8 relations: 469536
- Fri May 20 19:39:14 2016 9 relations: 434950
- Fri May 20 19:39:14 2016 10+ relations: 2634446
- Fri May 20 19:39:14 2016 heaviest cycle: 28 relations
- Fri May 20 19:39:15 2016 commencing cycle optimization
- Fri May 20 19:39:27 2016 start with 59816614 relations
- Fri May 20 19:41:21 2016 pruned 2696050 relations
- Fri May 20 19:41:21 2016 memory use: 1563.9 MB
- Fri May 20 19:41:21 2016 distribution of cycle lengths:
- Fri May 20 19:41:21 2016 1 relations: 269530
- Fri May 20 19:41:21 2016 2 relations: 442951
- Fri May 20 19:41:21 2016 3 relations: 536179
- Fri May 20 19:41:21 2016 4 relations: 549537
- Fri May 20 19:41:21 2016 5 relations: 558383
- Fri May 20 19:41:21 2016 6 relations: 540145
- Fri May 20 19:41:21 2016 7 relations: 523580
- Fri May 20 19:41:21 2016 8 relations: 488326
- Fri May 20 19:41:21 2016 9 relations: 452003
- Fri May 20 19:41:21 2016 10+ relations: 2468969
- Fri May 20 19:41:21 2016 heaviest cycle: 28 relations
- Fri May 20 19:41:32 2016 RelProcTime: 2710
- Fri May 20 19:41:32 2016
- Fri May 20 19:41:32 2016 commencing linear algebra
- Fri May 20 19:41:32 2016 read 6829603 cycles
- Fri May 20 19:41:43 2016 cycles contain 22456184 unique relations
- Fri May 20 19:43:57 2016 read 22456184 relations
- Fri May 20 19:44:21 2016 using 20 quadratic characters above 4294917295
- Fri May 20 19:45:48 2016 building initial matrix
- Fri May 20 19:49:19 2016 memory use: 2838.0 MB
- Fri May 20 19:49:21 2016 read 6829603 cycles
- Fri May 20 19:49:22 2016 matrix is 6829426 x 6829603 (3082.8 MB) with weight 881885067 (129.13/col)
- Fri May 20 19:49:22 2016 sparse part has weight 739843696 (108.33/col)
- Fri May 20 19:50:27 2016 filtering completed in 2 passes
- Fri May 20 19:50:28 2016 matrix is 6829405 x 6829582 (3082.8 MB) with weight 881884427 (129.13/col)
- Fri May 20 19:50:28 2016 sparse part has weight 739843512 (108.33/col)
- Fri May 20 19:51:02 2016 matrix starts at (0, 0)
- Fri May 20 19:51:03 2016 matrix is 6829405 x 6829582 (3082.8 MB) with weight 881884427 (129.13/col)
- Fri May 20 19:51:03 2016 sparse part has weight 739843512 (108.33/col)
- Fri May 20 19:51:03 2016 saving the first 48 matrix rows for later
- Fri May 20 19:51:04 2016 matrix includes 64 packed rows
- Fri May 20 19:51:05 2016 matrix is 6829357 x 6829582 (2965.8 MB) with weight 754581648 (110.49/col)
- Fri May 20 19:51:05 2016 sparse part has weight 709181606 (103.84/col)
- Fri May 20 19:51:05 2016 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
- Fri May 20 19:51:29 2016 commencing Lanczos iteration (4 threads)
- Fri May 20 19:51:29 2016 memory use: 2504.9 MB
- Fri May 20 19:51:55 2016 linear algebra at 0.0%, ETA 31h11m
- Fri May 20 19:52:04 2016 checkpointing every 220000 dimensions
- Sun May 22 05:23:36 2016 lanczos halted after 108003 iterations (dim = 6829355)
- Sun May 22 05:23:46 2016 recovered 40 nontrivial dependencies
- Sun May 22 05:23:46 2016 BLanczosTime: 121334
- Sun May 22 05:23:46 2016
- Sun May 22 05:23:46 2016 commencing square root phase
- Sun May 22 05:23:46 2016 handling dependencies 1 to 64
- Sun May 22 05:23:46 2016 reading relations for dependency 1
- Sun May 22 05:23:47 2016 read 3415559 cycles
- Sun May 22 05:23:52 2016 cycles contain 11227126 unique relations
- Sun May 22 05:25:46 2016 read 11227126 relations
- Sun May 22 05:26:21 2016 multiplying 11227126 relations
- Sun May 22 05:32:16 2016 multiply complete, coefficients have about 281.86 million bits
- Sun May 22 05:32:17 2016 initial square root is modulo 114217
- Sun May 22 05:38:50 2016 GCD is N, no factor found
- Sun May 22 05:38:50 2016 reading relations for dependency 2
- Sun May 22 05:38:50 2016 read 3413431 cycles
- Sun May 22 05:38:56 2016 cycles contain 11225480 unique relations
- Sun May 22 05:40:36 2016 read 11225480 relations
- Sun May 22 05:41:11 2016 multiplying 11225480 relations
- Sun May 22 05:47:06 2016 multiply complete, coefficients have about 281.81 million bits
- Sun May 22 05:47:07 2016 initial square root is modulo 113947
- Sun May 22 05:53:39 2016 sqrtTime: 1793
- Sun May 22 05:53:39 2016 p77 factor: 18679178836466448763557547493236927177178335412631736461374200583749417628789
- Sun May 22 05:53:39 2016 p114 factor: 109498116331109224901848268345589258050582247313726857740563854480158487615050439828233816006118444336336096535541
- Sun May 22 05:53:39 2016 elapsed time 34:57:19
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