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- Mon May 09 21:36:23 2016
- Mon May 09 21:36:23 2016
- Mon May 09 21:36:23 2016 Msieve v. 1.52 (SVN unknown)
- Mon May 09 21:36:23 2016 random seeds: 1f5cb340 8f84877c
- Mon May 09 21:36:23 2016 factoring 456708874484336577424759853910524679288885548779626938691613721280597052276329062879076342533907069641339374278067514892483673098735177369820067224034607835064762065489540889464405803654025657 (192 digits)
- Mon May 09 21:36:24 2016 no P-1/P+1/ECM available, skipping
- Mon May 09 21:36:24 2016 commencing number field sieve (192-digit input)
- Mon May 09 21:36:24 2016 R0: 10764351351569111513009094806216900608
- Mon May 09 21:36:24 2016 R1: -186264514923095703125
- Mon May 09 21:36:24 2016 A0: 58
- Mon May 09 21:36:24 2016 A1: 0
- Mon May 09 21:36:24 2016 A2: 0
- Mon May 09 21:36:24 2016 A3: 0
- Mon May 09 21:36:24 2016 A4: 0
- Mon May 09 21:36:24 2016 A5: 0
- Mon May 09 21:36:24 2016 A6: 1
- Mon May 09 21:36:24 2016 skew 1.97, size 3.982e-011, alpha 1.678, combined = 1.753e-012 rroots = 0
- Mon May 09 21:36:24 2016
- Mon May 09 21:36:24 2016 commencing relation filtering
- Mon May 09 21:36:24 2016 setting target matrix density to 120.0
- Mon May 09 21:36:24 2016 estimated available RAM is 8098.7 MB
- Mon May 09 21:36:24 2016 commencing duplicate removal, pass 1
- Mon May 09 21:43:03 2016 error -15 reading relation 24263803
- Mon May 09 22:04:06 2016 error -9 reading relation 101961153
- Mon May 09 22:04:26 2016 error -1 reading relation 103238080
- Mon May 09 22:04:28 2016 error -9 reading relation 103316411
- Mon May 09 22:04:32 2016 error -9 reading relation 103571178
- Mon May 09 22:05:51 2016 error -15 reading relation 108660113
- Mon May 09 22:06:41 2016 error -15 reading relation 111754199
- Mon May 09 22:06:51 2016 error -9 reading relation 112348779
- Mon May 09 22:07:34 2016 skipped 1 relations with b > 2^32
- Mon May 09 22:07:34 2016 found 17645100 hash collisions in 115262834 relations
- Mon May 09 22:08:22 2016 added 1217996 free relations
- Mon May 09 22:08:22 2016 commencing duplicate removal, pass 2
- Mon May 09 22:10:36 2016 found 15235158 duplicates and 101245672 unique relations
- Mon May 09 22:10:36 2016 memory use: 660.8 MB
- Mon May 09 22:10:36 2016 reading ideals above 65994752
- Mon May 09 22:10:36 2016 commencing singleton removal, initial pass
- Mon May 09 22:40:46 2016 memory use: 2756.0 MB
- Mon May 09 22:40:46 2016 reading all ideals from disk
- Mon May 09 22:41:02 2016 memory use: 1745.5 MB
- Mon May 09 22:41:07 2016 commencing in-memory singleton removal
- Mon May 09 22:41:13 2016 begin with 101245672 relations and 82835376 unique ideals
- Mon May 09 22:42:00 2016 reduce to 66761141 relations and 44882069 ideals in 12 passes
- Mon May 09 22:42:00 2016 max relations containing the same ideal: 45
- Mon May 09 22:42:08 2016 reading ideals above 720000
- Mon May 09 22:42:08 2016 commencing singleton removal, initial pass
- Mon May 09 23:05:00 2016 memory use: 1378.0 MB
- Mon May 09 23:05:00 2016 reading all ideals from disk
- Mon May 09 23:05:23 2016 memory use: 2475.3 MB
- Mon May 09 23:05:32 2016 keeping 52333531 ideals with weight <= 200, target excess is 339626
- Mon May 09 23:05:42 2016 commencing in-memory singleton removal
- Mon May 09 23:05:50 2016 begin with 66761141 relations and 52333531 unique ideals
- Mon May 09 23:06:13 2016 reduce to 66761124 relations and 52333514 ideals in 3 passes
- Mon May 09 23:06:13 2016 max relations containing the same ideal: 200
- Mon May 09 23:06:54 2016 removing 8528386 relations and 6528386 ideals in 2000000 cliques
- Mon May 09 23:06:58 2016 commencing in-memory singleton removal
- Mon May 09 23:07:05 2016 begin with 58232738 relations and 52333514 unique ideals
- Mon May 09 23:08:04 2016 reduce to 57349687 relations and 44889273 ideals in 9 passes
- Mon May 09 23:08:04 2016 max relations containing the same ideal: 191
- Mon May 09 23:08:41 2016 removing 6819145 relations and 4819145 ideals in 2000000 cliques
- Mon May 09 23:08:44 2016 commencing in-memory singleton removal
- Mon May 09 23:08:49 2016 begin with 50530542 relations and 44889273 unique ideals
- Mon May 09 23:09:29 2016 reduce to 49907604 relations and 39425569 ideals in 7 passes
- Mon May 09 23:09:29 2016 max relations containing the same ideal: 173
- Mon May 09 23:10:01 2016 removing 6322030 relations and 4322030 ideals in 2000000 cliques
- Mon May 09 23:10:03 2016 commencing in-memory singleton removal
- Mon May 09 23:10:08 2016 begin with 43585574 relations and 39425569 unique ideals
- Mon May 09 23:10:42 2016 reduce to 43011616 relations and 34508400 ideals in 7 passes
- Mon May 09 23:10:42 2016 max relations containing the same ideal: 162
- Mon May 09 23:11:10 2016 removing 6079310 relations and 4079310 ideals in 2000000 cliques
- Mon May 09 23:11:12 2016 commencing in-memory singleton removal
- Mon May 09 23:11:16 2016 begin with 36932306 relations and 34508400 unique ideals
- Mon May 09 23:11:44 2016 reduce to 36353918 relations and 29826374 ideals in 7 passes
- Mon May 09 23:11:44 2016 max relations containing the same ideal: 140
- Mon May 09 23:12:08 2016 removing 5935868 relations and 3935868 ideals in 2000000 cliques
- Mon May 09 23:12:10 2016 commencing in-memory singleton removal
- Mon May 09 23:12:13 2016 begin with 30418050 relations and 29826374 unique ideals
- Mon May 09 23:12:35 2016 reduce to 29801181 relations and 25243959 ideals in 7 passes
- Mon May 09 23:12:35 2016 max relations containing the same ideal: 122
- Mon May 09 23:12:55 2016 removing 5829331 relations and 3829331 ideals in 2000000 cliques
- Mon May 09 23:12:57 2016 commencing in-memory singleton removal
- Mon May 09 23:13:00 2016 begin with 23971850 relations and 25243959 unique ideals
- Mon May 09 23:13:17 2016 reduce to 23284168 relations and 20686618 ideals in 7 passes
- Mon May 09 23:13:17 2016 max relations containing the same ideal: 103
- Mon May 09 23:13:32 2016 removing 5735627 relations and 3735627 ideals in 2000000 cliques
- Mon May 09 23:13:34 2016 commencing in-memory singleton removal
- Mon May 09 23:13:36 2016 begin with 17548541 relations and 20686618 unique ideals
- Mon May 09 23:13:51 2016 reduce to 16727168 relations and 16068127 ideals in 9 passes
- Mon May 09 23:13:51 2016 max relations containing the same ideal: 84
- Mon May 09 23:14:02 2016 removing 1120065 relations and 854991 ideals in 265074 cliques
- Mon May 09 23:14:02 2016 commencing in-memory singleton removal
- Mon May 09 23:14:04 2016 begin with 15607103 relations and 16068127 unique ideals
- Mon May 09 23:14:13 2016 reduce to 15548435 relations and 15153503 ideals in 6 passes
- Mon May 09 23:14:13 2016 max relations containing the same ideal: 80
- Mon May 09 23:14:26 2016 relations with 0 large ideals: 12430
- Mon May 09 23:14:26 2016 relations with 1 large ideals: 4938
- Mon May 09 23:14:26 2016 relations with 2 large ideals: 53627
- Mon May 09 23:14:26 2016 relations with 3 large ideals: 371158
- Mon May 09 23:14:26 2016 relations with 4 large ideals: 1387038
- Mon May 09 23:14:26 2016 relations with 5 large ideals: 3055683
- Mon May 09 23:14:26 2016 relations with 6 large ideals: 4170052
- Mon May 09 23:14:26 2016 relations with 7+ large ideals: 6493509
- Mon May 09 23:14:26 2016 commencing 2-way merge
- Mon May 09 23:14:39 2016 reduce to 10389846 relation sets and 9994913 unique ideals
- Mon May 09 23:14:39 2016 commencing full merge
- Mon May 09 23:20:53 2016 memory use: 1396.1 MB
- Mon May 09 23:20:55 2016 found 4720612 cycles, need 4709113
- Mon May 09 23:20:55 2016 weight of 4709113 cycles is about 565512238 (120.09/cycle)
- Mon May 09 23:20:55 2016 distribution of cycle lengths:
- Mon May 09 23:20:55 2016 1 relations: 130640
- Mon May 09 23:20:55 2016 2 relations: 244309
- Mon May 09 23:20:55 2016 3 relations: 311872
- Mon May 09 23:20:55 2016 4 relations: 334733
- Mon May 09 23:20:55 2016 5 relations: 353432
- Mon May 09 23:20:55 2016 6 relations: 354583
- Mon May 09 23:20:55 2016 7 relations: 349284
- Mon May 09 23:20:55 2016 8 relations: 334476
- Mon May 09 23:20:55 2016 9 relations: 315440
- Mon May 09 23:20:55 2016 10+ relations: 1980344
- Mon May 09 23:20:55 2016 heaviest cycle: 28 relations
- Mon May 09 23:20:56 2016 commencing cycle optimization
- Mon May 09 23:21:08 2016 start with 43522391 relations
- Mon May 09 23:24:04 2016 pruned 2202117 relations
- Mon May 09 23:24:04 2016 memory use: 1098.0 MB
- Mon May 09 23:24:04 2016 distribution of cycle lengths:
- Mon May 09 23:24:04 2016 1 relations: 130640
- Mon May 09 23:24:04 2016 2 relations: 250732
- Mon May 09 23:24:04 2016 3 relations: 325795
- Mon May 09 23:24:04 2016 4 relations: 350094
- Mon May 09 23:24:04 2016 5 relations: 373146
- Mon May 09 23:24:04 2016 6 relations: 373354
- Mon May 09 23:24:04 2016 7 relations: 369997
- Mon May 09 23:24:04 2016 8 relations: 353128
- Mon May 09 23:24:04 2016 9 relations: 332604
- Mon May 09 23:24:04 2016 10+ relations: 1849623
- Mon May 09 23:24:04 2016 heaviest cycle: 28 relations
- Mon May 09 23:24:12 2016 RelProcTime: 6468
- Mon May 09 23:24:12 2016
- Mon May 09 23:24:12 2016 commencing linear algebra
- Mon May 09 23:24:13 2016 read 4709113 cycles
- Mon May 09 23:24:27 2016 cycles contain 15349544 unique relations
- Mon May 09 23:29:23 2016 read 15349544 relations
- Mon May 09 23:30:01 2016 using 20 quadratic characters above 1073740068
- Mon May 09 23:31:54 2016 building initial matrix
- Mon May 09 23:37:12 2016 memory use: 1915.6 MB
- Mon May 09 23:37:19 2016 read 4709113 cycles
- Mon May 09 23:37:21 2016 matrix is 4708936 x 4709113 (2196.5 MB) with weight 638094905 (135.50/col)
- Mon May 09 23:37:21 2016 sparse part has weight 524009793 (111.28/col)
- Mon May 09 23:38:52 2016 filtering completed in 2 passes
- Mon May 09 23:38:55 2016 matrix is 4708907 x 4709084 (2196.5 MB) with weight 638093939 (135.50/col)
- Mon May 09 23:38:55 2016 sparse part has weight 524009565 (111.28/col)
- Mon May 09 23:39:30 2016 matrix starts at (0, 0)
- Mon May 09 23:39:33 2016 matrix is 4708907 x 4709084 (2196.5 MB) with weight 638093939 (135.50/col)
- Mon May 09 23:39:33 2016 sparse part has weight 524009565 (111.28/col)
- Mon May 09 23:39:33 2016 saving the first 48 matrix rows for later
- Mon May 09 23:39:35 2016 matrix includes 64 packed rows
- Mon May 09 23:39:36 2016 matrix is 4708859 x 4709084 (2118.2 MB) with weight 549915731 (116.78/col)
- Mon May 09 23:39:36 2016 sparse part has weight 508174563 (107.91/col)
- Mon May 09 23:39:36 2016 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
- Mon May 09 23:40:20 2016 commencing Lanczos iteration (4 threads)
- Mon May 09 23:40:20 2016 memory use: 1776.7 MB
- Mon May 09 23:40:53 2016 linear algebra at 0.0%, ETA 26h46m
- Mon May 09 23:41:03 2016 checkpointing every 180000 dimensions
- Wed May 11 07:33:27 2016 lanczos halted after 74476 iterations (dim = 4708859)
- Wed May 11 07:33:40 2016 recovered 38 nontrivial dependencies
- Wed May 11 07:33:43 2016 BLanczosTime: 115771
- Wed May 11 07:33:43 2016
- Wed May 11 07:33:43 2016 commencing square root phase
- Wed May 11 07:33:43 2016 handling dependencies 1 to 64
- Wed May 11 07:33:43 2016 reading relations for dependency 1
- Wed May 11 07:33:45 2016 read 2356546 cycles
- Wed May 11 07:33:51 2016 cycles contain 7676954 unique relations
- Wed May 11 07:36:32 2016 read 7676954 relations
- Wed May 11 07:37:32 2016 multiplying 7676954 relations
- Wed May 11 07:46:58 2016 multiply complete, coefficients have about 190.60 million bits
- Wed May 11 07:47:02 2016 initial square root is modulo 6921451
- Wed May 11 07:59:13 2016 GCD is N, no factor found
- Wed May 11 07:59:13 2016 reading relations for dependency 2
- Wed May 11 07:59:22 2016 read 2355074 cycles
- Wed May 11 07:59:28 2016 cycles contain 7676798 unique relations
- Wed May 11 08:02:11 2016 read 7676798 relations
- Wed May 11 08:03:11 2016 multiplying 7676798 relations
- Wed May 11 08:12:37 2016 multiply complete, coefficients have about 190.60 million bits
- Wed May 11 08:12:42 2016 initial square root is modulo 6918853
- Wed May 11 08:24:53 2016 GCD is N, no factor found
- Wed May 11 08:24:53 2016 reading relations for dependency 3
- Wed May 11 08:24:55 2016 read 2354358 cycles
- Wed May 11 08:25:01 2016 cycles contain 7676634 unique relations
- Wed May 11 08:27:42 2016 read 7676634 relations
- Wed May 11 08:28:42 2016 multiplying 7676634 relations
- Wed May 11 08:38:08 2016 multiply complete, coefficients have about 190.60 million bits
- Wed May 11 08:38:13 2016 initial square root is modulo 6917941
- Wed May 11 08:50:25 2016 sqrtTime: 4602
- Wed May 11 08:50:25 2016 prp58 factor: 2004568695855585378578421559385707909550321675288338363039
- Wed May 11 08:50:25 2016 prp135 factor: 227833985150309429025031185219360617529392083400994588687428553965659464339207205965390276897174227886480691278841996666363510806557863
- Wed May 11 08:50:25 2016 elapsed time 35:14:02
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