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- Thu Dec 10 15:52:51 2015
- Thu Dec 10 15:52:51 2015
- Thu Dec 10 15:52:51 2015 Msieve v. 1.52 (SVN 946)
- Thu Dec 10 15:52:51 2015 random seeds: df775fe8 409a28b0
- Thu Dec 10 15:52:51 2015 factoring 27394866798951641850620978819851383993304495259398963038668954040287247868234740089800537784246476517329072310873074320132632739078998848852158347502828227 (155 digits)
- Thu Dec 10 15:52:51 2015 no P-1/P+1/ECM available, skipping
- Thu Dec 10 15:52:51 2015 commencing number field sieve (155-digit input)
- Thu Dec 10 15:52:51 2015 R0: -625067905257568521152444299113
- Thu Dec 10 15:52:51 2015 R1: 1985761569746047
- Thu Dec 10 15:52:51 2015 A0: 5156278169675654790285856050616661024
- Thu Dec 10 15:52:51 2015 A1: 43685191399971368372304808017998
- Thu Dec 10 15:52:51 2015 A2: 2642090624816573600058958
- Thu Dec 10 15:52:51 2015 A3: -15263564525060612741
- Thu Dec 10 15:52:51 2015 A4: -64224886164
- Thu Dec 10 15:52:51 2015 A5: 287100
- Thu Dec 10 15:52:51 2015 skew 1.00, size 4.980e-015, alpha -7.137, combined = 2.626e-014 rroots = 5
- Thu Dec 10 15:52:51 2015
- Thu Dec 10 15:52:51 2015 commencing relation filtering
- Thu Dec 10 15:52:51 2015 setting target matrix density to 130.0
- Thu Dec 10 15:52:51 2015 estimated available RAM is 16331.2 MB
- Thu Dec 10 15:52:51 2015 commencing duplicate removal, pass 1
- <errors reading relations>
- Thu Dec 10 16:09:04 2015 skipped 1 relations with b > 2^32
- Thu Dec 10 16:09:04 2015 found 13283013 hash collisions in 98692642 relations
- Thu Dec 10 16:09:52 2015 added 121743 free relations
- Thu Dec 10 16:09:52 2015 commencing duplicate removal, pass 2
- Thu Dec 10 16:10:37 2015 found 11262369 duplicates and 87552016 unique relations
- Thu Dec 10 16:10:37 2015 memory use: 394.4 MB
- Thu Dec 10 16:10:37 2015 reading ideals above 73728000
- Thu Dec 10 16:10:37 2015 commencing singleton removal, initial pass
- Thu Dec 10 16:26:03 2015 memory use: 1506.0 MB
- Thu Dec 10 16:26:03 2015 reading all ideals from disk
- Thu Dec 10 16:26:05 2015 memory use: 1405.5 MB
- Thu Dec 10 16:26:08 2015 commencing in-memory singleton removal
- Thu Dec 10 16:26:10 2015 begin with 87552016 relations and 74303783 unique ideals
- Thu Dec 10 16:26:38 2015 reduce to 49643071 relations and 31573948 ideals in 14 passes
- Thu Dec 10 16:26:38 2015 max relations containing the same ideal: 33
- Thu Dec 10 16:26:42 2015 reading ideals above 720000
- Thu Dec 10 16:26:42 2015 commencing singleton removal, initial pass
- Thu Dec 10 16:37:09 2015 memory use: 753.0 MB
- Thu Dec 10 16:37:09 2015 reading all ideals from disk
- Thu Dec 10 16:37:12 2015 memory use: 1808.5 MB
- Thu Dec 10 16:37:17 2015 keeping 39965583 ideals with weight <= 200, target excess is 255344
- Thu Dec 10 16:37:21 2015 commencing in-memory singleton removal
- Thu Dec 10 16:37:25 2015 begin with 49643072 relations and 39965583 unique ideals
- Thu Dec 10 16:37:54 2015 reduce to 49633931 relations and 39956442 ideals in 7 passes
- Thu Dec 10 16:37:54 2015 max relations containing the same ideal: 200
- Thu Dec 10 16:38:18 2015 removing 5402161 relations and 4402161 ideals in 1000000 cliques
- Thu Dec 10 16:38:19 2015 commencing in-memory singleton removal
- Thu Dec 10 16:38:23 2015 begin with 44231770 relations and 39956442 unique ideals
- Thu Dec 10 16:38:52 2015 reduce to 43832674 relations and 35145097 ideals in 8 passes
- Thu Dec 10 16:38:52 2015 max relations containing the same ideal: 192
- Thu Dec 10 16:39:13 2015 removing 4060314 relations and 3060314 ideals in 1000000 cliques
- Thu Dec 10 16:39:14 2015 commencing in-memory singleton removal
- Thu Dec 10 16:39:17 2015 begin with 39772360 relations and 35145097 unique ideals
- Thu Dec 10 16:39:43 2015 reduce to 39515934 relations and 31822533 ideals in 8 passes
- Thu Dec 10 16:39:43 2015 max relations containing the same ideal: 183
- Thu Dec 10 16:40:02 2015 removing 3647125 relations and 2647125 ideals in 1000000 cliques
- Thu Dec 10 16:40:03 2015 commencing in-memory singleton removal
- Thu Dec 10 16:40:06 2015 begin with 35868809 relations and 31822533 unique ideals
- Thu Dec 10 16:40:24 2015 reduce to 35649703 relations and 28951108 ideals in 6 passes
- Thu Dec 10 16:40:24 2015 max relations containing the same ideal: 174
- Thu Dec 10 16:40:41 2015 removing 3417552 relations and 2417552 ideals in 1000000 cliques
- Thu Dec 10 16:40:42 2015 commencing in-memory singleton removal
- Thu Dec 10 16:40:45 2015 begin with 32232151 relations and 28951108 unique ideals
- Thu Dec 10 16:41:00 2015 reduce to 32032507 relations and 26329055 ideals in 6 passes
- Thu Dec 10 16:41:00 2015 max relations containing the same ideal: 160
- Thu Dec 10 16:41:16 2015 removing 3258489 relations and 2258489 ideals in 1000000 cliques
- Thu Dec 10 16:41:17 2015 commencing in-memory singleton removal
- Thu Dec 10 16:41:19 2015 begin with 28774018 relations and 26329055 unique ideals
- Thu Dec 10 16:41:35 2015 reduce to 28586694 relations and 23878265 ideals in 7 passes
- Thu Dec 10 16:41:35 2015 max relations containing the same ideal: 152
- Thu Dec 10 16:41:49 2015 removing 3131879 relations and 2131879 ideals in 1000000 cliques
- Thu Dec 10 16:41:49 2015 commencing in-memory singleton removal
- Thu Dec 10 16:41:51 2015 begin with 25454815 relations and 23878265 unique ideals
- Thu Dec 10 16:42:03 2015 reduce to 25272191 relations and 21558433 ideals in 6 passes
- Thu Dec 10 16:42:03 2015 max relations containing the same ideal: 140
- Thu Dec 10 16:42:16 2015 removing 3022435 relations and 2022435 ideals in 1000000 cliques
- Thu Dec 10 16:42:17 2015 commencing in-memory singleton removal
- Thu Dec 10 16:42:18 2015 begin with 22249756 relations and 21558433 unique ideals
- Thu Dec 10 16:42:29 2015 reduce to 22067183 relations and 19347424 ideals in 6 passes
- Thu Dec 10 16:42:29 2015 max relations containing the same ideal: 127
- Thu Dec 10 16:42:39 2015 removing 2932137 relations and 1932137 ideals in 1000000 cliques
- Thu Dec 10 16:42:40 2015 commencing in-memory singleton removal
- Thu Dec 10 16:42:41 2015 begin with 19135046 relations and 19347424 unique ideals
- Thu Dec 10 16:42:56 2015 reduce to 18942378 relations and 17215545 ideals in 10 passes
- Thu Dec 10 16:42:56 2015 max relations containing the same ideal: 114
- Thu Dec 10 16:43:05 2015 removing 2858310 relations and 1858310 ideals in 1000000 cliques
- Thu Dec 10 16:43:06 2015 commencing in-memory singleton removal
- Thu Dec 10 16:43:07 2015 begin with 16084068 relations and 17215545 unique ideals
- Thu Dec 10 16:43:15 2015 reduce to 15863497 relations and 15126963 ideals in 6 passes
- Thu Dec 10 16:43:15 2015 max relations containing the same ideal: 103
- Thu Dec 10 16:43:23 2015 removing 1422747 relations and 982413 ideals in 440334 cliques
- Thu Dec 10 16:43:23 2015 commencing in-memory singleton removal
- Thu Dec 10 16:43:24 2015 begin with 14440750 relations and 15126963 unique ideals
- Thu Dec 10 16:43:32 2015 reduce to 14363934 relations and 14065846 ideals in 7 passes
- Thu Dec 10 16:43:32 2015 max relations containing the same ideal: 94
- Thu Dec 10 16:43:41 2015 relations with 0 large ideals: 711
- Thu Dec 10 16:43:41 2015 relations with 1 large ideals: 2352
- Thu Dec 10 16:43:41 2015 relations with 2 large ideals: 33968
- Thu Dec 10 16:43:41 2015 relations with 3 large ideals: 265832
- Thu Dec 10 16:43:41 2015 relations with 4 large ideals: 1099120
- Thu Dec 10 16:43:41 2015 relations with 5 large ideals: 2639838
- Thu Dec 10 16:43:41 2015 relations with 6 large ideals: 3919695
- Thu Dec 10 16:43:41 2015 relations with 7+ large ideals: 6402418
- Thu Dec 10 16:43:41 2015 commencing 2-way merge
- Thu Dec 10 16:43:50 2015 reduce to 10050366 relation sets and 9752278 unique ideals
- Thu Dec 10 16:43:50 2015 commencing full merge
- Thu Dec 10 16:48:51 2015 memory use: 1269.6 MB
- Thu Dec 10 16:48:52 2015 found 4422011 cycles, need 4414478
- Thu Dec 10 16:48:53 2015 weight of 4414478 cycles is about 574106101 (130.05/cycle)
- Thu Dec 10 16:48:53 2015 distribution of cycle lengths:
- Thu Dec 10 16:48:53 2015 1 relations: 48433
- Thu Dec 10 16:48:53 2015 2 relations: 171493
- Thu Dec 10 16:48:53 2015 3 relations: 244003
- Thu Dec 10 16:48:53 2015 4 relations: 284074
- Thu Dec 10 16:48:53 2015 5 relations: 320427
- Thu Dec 10 16:48:53 2015 6 relations: 333302
- Thu Dec 10 16:48:53 2015 7 relations: 341523
- Thu Dec 10 16:48:53 2015 8 relations: 332858
- Thu Dec 10 16:48:53 2015 9 relations: 319298
- Thu Dec 10 16:48:53 2015 10+ relations: 2019067
- Thu Dec 10 16:48:53 2015 heaviest cycle: 28 relations
- Thu Dec 10 16:48:54 2015 commencing cycle optimization
- Thu Dec 10 16:49:03 2015 start with 42961805 relations
- Thu Dec 10 16:51:30 2015 pruned 2518077 relations
- Thu Dec 10 16:51:30 2015 memory use: 1045.0 MB
- Thu Dec 10 16:51:30 2015 distribution of cycle lengths:
- Thu Dec 10 16:51:30 2015 1 relations: 48433
- Thu Dec 10 16:51:30 2015 2 relations: 176951
- Thu Dec 10 16:51:30 2015 3 relations: 256238
- Thu Dec 10 16:51:30 2015 4 relations: 300455
- Thu Dec 10 16:51:30 2015 5 relations: 342157
- Thu Dec 10 16:51:30 2015 6 relations: 357060
- Thu Dec 10 16:51:30 2015 7 relations: 367666
- Thu Dec 10 16:51:30 2015 8 relations: 355997
- Thu Dec 10 16:51:30 2015 9 relations: 341164
- Thu Dec 10 16:51:30 2015 10+ relations: 1868357
- Thu Dec 10 16:51:30 2015 heaviest cycle: 28 relations
- Thu Dec 10 16:51:38 2015 RelProcTime: 3527
- Thu Dec 10 16:51:38 2015
- Thu Dec 10 16:51:38 2015 commencing linear algebra
- Thu Dec 10 16:51:39 2015 read 4414478 cycles
- Thu Dec 10 16:51:49 2015 cycles contain 14232052 unique relations
- Thu Dec 10 16:54:22 2015 read 14232052 relations
- Thu Dec 10 16:54:53 2015 using 20 quadratic characters above 1073740794
- Thu Dec 10 16:55:53 2015 building initial matrix
- Thu Dec 10 16:59:51 2015 memory use: 1931.3 MB
- Thu Dec 10 16:59:55 2015 read 4414478 cycles
- Thu Dec 10 16:59:56 2015 matrix is 4414301 x 4414478 (2195.4 MB) with weight 669933986 (151.76/col)
- Thu Dec 10 16:59:56 2015 sparse part has weight 522532461 (118.37/col)
- Thu Dec 10 17:01:02 2015 filtering completed in 2 passes
- Thu Dec 10 17:01:04 2015 matrix is 4414297 x 4414474 (2195.4 MB) with weight 669933832 (151.76/col)
- Thu Dec 10 17:01:04 2015 sparse part has weight 522532425 (118.37/col)
- Thu Dec 10 17:01:16 2015 matrix starts at (0, 0)
- Thu Dec 10 17:01:18 2015 matrix is 4414297 x 4414474 (2195.4 MB) with weight 669933832 (151.76/col)
- Thu Dec 10 17:01:18 2015 sparse part has weight 522532425 (118.37/col)
- Thu Dec 10 17:01:18 2015 saving the first 48 matrix rows for later
- Thu Dec 10 17:01:19 2015 matrix includes 64 packed rows
- Thu Dec 10 17:01:20 2015 matrix is 4414249 x 4414474 (2140.0 MB) with weight 576926423 (130.69/col)
- Thu Dec 10 17:01:20 2015 sparse part has weight 516833006 (117.08/col)
- Thu Dec 10 17:01:20 2015 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
- Thu Dec 10 17:01:47 2015 commencing Lanczos iteration (4 threads)
- Thu Dec 10 17:01:47 2015 memory use: 1770.7 MB
- Thu Dec 10 17:02:04 2015 linear algebra at 0.0%, ETA 12h52m
- Thu Dec 10 17:02:09 2015 checkpointing every 350000 dimensions
- Fri Dec 11 06:26:03 2015 lanczos halted after 69811 iterations (dim = 4414248)
- Fri Dec 11 06:26:08 2015 recovered 28 nontrivial dependencies
- Fri Dec 11 06:26:10 2015 BLanczosTime: 48872
- Fri Dec 11 06:26:10 2015
- Fri Dec 11 06:26:10 2015 commencing square root phase
- Fri Dec 11 06:26:10 2015 handling dependencies 1 to 64
- Fri Dec 11 06:26:10 2015 reading relations for dependency 1
- Fri Dec 11 06:26:11 2015 read 2207111 cycles
- Fri Dec 11 06:26:15 2015 cycles contain 7113326 unique relations
- Fri Dec 11 06:27:38 2015 read 7113326 relations
- Fri Dec 11 06:28:24 2015 multiplying 7113326 relations
- Fri Dec 11 06:37:12 2015 multiply complete, coefficients have about 381.64 million bits
- Fri Dec 11 06:37:17 2015 initial square root is modulo 7044133
- Fri Dec 11 06:49:27 2015 GCD is N, no factor found
- Fri Dec 11 06:49:27 2015 reading relations for dependency 2
- Fri Dec 11 06:49:28 2015 read 2205497 cycles
- Fri Dec 11 06:49:33 2015 cycles contain 7112854 unique relations
- Fri Dec 11 06:50:57 2015 read 7112854 relations
- Fri Dec 11 06:51:43 2015 multiplying 7112854 relations
- Fri Dec 11 07:00:31 2015 multiply complete, coefficients have about 381.61 million bits
- Fri Dec 11 07:00:36 2015 initial square root is modulo 7037171
- Fri Dec 11 07:12:49 2015 sqrtTime: 2799
- Fri Dec 11 07:12:49 2015 prp55 factor: 1262562858408992800428867338378430551967233554382410981
- Fri Dec 11 07:12:49 2015 prp101 factor: 21697824085743371372469020640657301318547323841169042223962885256123964861774717098648145373746642567
- Fri Dec 11 07:12:49 2015 elapsed time 15:19:58
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