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- Sun Jul 7 19:48:30 2013 Msieve v. 1.52 (SVN unknown)
- Sun Jul 7 19:48:30 2013 random seeds: abb473c8 9fc11420
- Sun Jul 7 19:48:30 2013 factoring 8142407595379555956664326934321553246554007061976405895261142309923423862196237550828109566334240096734490515756182962907097181002915033691657806256938091627293279753 (166 digits)
- Sun Jul 7 19:48:32 2013 searching for 15-digit factors
- Sun Jul 7 19:49:19 2013 commencing number field sieve (166-digit input)
- Sun Jul 7 19:49:45 2013 R0: -75720857081489520167113425723158
- Sun Jul 7 19:49:45 2013 R1: 182903442679283
- Sun Jul 7 19:49:45 2013 A0: -4373964544762565487539713457664461161995
- Sun Jul 7 19:49:45 2013 A1: 26659683898587304014316158861991
- Sun Jul 7 19:49:45 2013 A2: 1053615880336319737012534130
- Sun Jul 7 19:49:45 2013 A3: -4900704720753009953
- Sun Jul 7 19:49:45 2013 A4: -31827541506237
- Sun Jul 7 19:49:45 2013 A5: 3270960
- Sun Jul 7 19:49:45 2013 skew 4881922.58, size 3.089e-16, alpha -6.966, combined = 5.640e-13 rroots = 3
- Sun Jul 7 19:49:45 2013
- Sun Jul 7 19:49:45 2013 commencing relation filtering
- Sun Jul 7 19:49:45 2013 setting target matrix density to 122.0
- Sun Jul 7 19:49:45 2013 estimated available RAM is 16063.1 MB
- Sun Jul 7 19:49:45 2013 commencing duplicate removal, pass 1
- Sun Jul 7 20:00:03 2013 error -1 reading relation 56236509
- Sun Jul 7 20:00:03 2013 error -11 reading relation 56236510
- [...removed billions and billions of error -1 & error -11 records...]
- Sun Jul 7 20:04:35 2013 error -11 reading relation 97832305
- Sun Jul 7 20:09:15 2013 error -15 reading relation 145379114
- Sun Jul 7 20:14:24 2013 skipped 84 relations with b > 2^32
- Sun Jul 7 20:14:24 2013 found 8307648 hash collisions in 194573342 relations
- Sun Jul 7 20:15:03 2013 added 122332 free relations
- Sun Jul 7 20:15:03 2013 commencing duplicate removal, pass 2
- Sun Jul 7 20:21:50 2013 found 4 duplicates and 194695670 unique relations
- Sun Jul 7 20:21:50 2013 memory use: 522.4 MB
- Sun Jul 7 20:21:50 2013 reading ideals above 129957888
- Sun Jul 7 20:21:50 2013 commencing singleton removal, initial pass
- Sun Jul 7 20:57:11 2013 memory use: 3012.0 MB
- Sun Jul 7 20:57:11 2013 reading all ideals from disk
- Sun Jul 7 20:58:13 2013 memory use: 3285.2 MB
- Sun Jul 7 20:58:23 2013 commencing in-memory singleton removal
- Sun Jul 7 20:58:31 2013 begin with 194695670 relations and 158361855 unique ideals
- Sun Jul 7 20:59:40 2013 reduce to 126747520 relations and 83445146 ideals in 13 passes
- Sun Jul 7 20:59:40 2013 max relations containing the same ideal: 55
- Sun Jul 7 20:59:46 2013 reading ideals above 720000
- Sun Jul 7 20:59:46 2013 commencing singleton removal, initial pass
- Sun Jul 7 21:28:38 2013 memory use: 2756.0 MB
- Sun Jul 7 21:28:38 2013 reading all ideals from disk
- Sun Jul 7 21:29:43 2013 memory use: 4869.6 MB
- Sun Jul 7 21:29:53 2013 keeping 97544136 ideals with weight <= 200, target excess is 654821
- Sun Jul 7 21:30:02 2013 commencing in-memory singleton removal
- Sun Jul 7 21:30:09 2013 begin with 126747520 relations and 97544136 unique ideals
- Sun Jul 7 21:31:08 2013 reduce to 126743083 relations and 97539699 ideals in 7 passes
- Sun Jul 7 21:31:08 2013 max relations containing the same ideal: 200
- Sun Jul 7 21:31:57 2013 removing 10335039 relations and 8335039 ideals in 2000000 cliques
- Sun Jul 7 21:32:01 2013 commencing in-memory singleton removal
- Sun Jul 7 21:32:10 2013 begin with 116408044 relations and 97539699 unique ideals
- Sun Jul 7 21:33:05 2013 reduce to 115792626 relations and 88577036 ideals in 7 passes
- Sun Jul 7 21:33:05 2013 max relations containing the same ideal: 197
- Sun Jul 7 21:33:50 2013 removing 7852453 relations and 5852453 ideals in 2000000 cliques
- Sun Jul 7 21:33:53 2013 commencing in-memory singleton removal
- Sun Jul 7 21:34:00 2013 begin with 107940173 relations and 88577036 unique ideals
- Sun Jul 7 21:34:53 2013 reduce to 107525091 relations and 82302311 ideals in 7 passes
- Sun Jul 7 21:34:53 2013 max relations containing the same ideal: 189
- Sun Jul 7 21:35:34 2013 removing 7126975 relations and 5126975 ideals in 2000000 cliques
- Sun Jul 7 21:35:36 2013 commencing in-memory singleton removal
- Sun Jul 7 21:35:43 2013 begin with 100398116 relations and 82302311 unique ideals
- Sun Jul 7 21:36:39 2013 reduce to 100034149 relations and 76804922 ideals in 8 passes
- Sun Jul 7 21:36:39 2013 max relations containing the same ideal: 182
- Sun Jul 7 21:37:15 2013 removing 6751739 relations and 4751739 ideals in 2000000 cliques
- Sun Jul 7 21:37:18 2013 commencing in-memory singleton removal
- Sun Jul 7 21:37:24 2013 begin with 93282410 relations and 76804922 unique ideals
- Sun Jul 7 21:38:08 2013 reduce to 92943160 relations and 71707745 ideals in 7 passes
- Sun Jul 7 21:38:08 2013 max relations containing the same ideal: 173
- Sun Jul 7 21:38:45 2013 removing 6521047 relations and 4521047 ideals in 2000000 cliques
- Sun Jul 7 21:38:48 2013 commencing in-memory singleton removal
- Sun Jul 7 21:38:53 2013 begin with 86422113 relations and 71707745 unique ideals
- Sun Jul 7 21:39:32 2013 reduce to 86092232 relations and 66850386 ideals in 7 passes
- Sun Jul 7 21:39:32 2013 max relations containing the same ideal: 166
- Sun Jul 7 21:40:09 2013 removing 6360261 relations and 4360261 ideals in 2000000 cliques
- Sun Jul 7 21:40:12 2013 commencing in-memory singleton removal
- Sun Jul 7 21:40:17 2013 begin with 79731971 relations and 66850386 unique ideals
- Sun Jul 7 21:40:58 2013 reduce to 79403474 relations and 62154778 ideals in 7 passes
- Sun Jul 7 21:40:58 2013 max relations containing the same ideal: 158
- Sun Jul 7 21:41:30 2013 removing 6246331 relations and 4246331 ideals in 2000000 cliques
- Sun Jul 7 21:41:33 2013 commencing in-memory singleton removal
- Sun Jul 7 21:41:37 2013 begin with 73157143 relations and 62154778 unique ideals
- Sun Jul 7 21:42:06 2013 reduce to 72822587 relations and 57566342 ideals in 6 passes
- Sun Jul 7 21:42:06 2013 max relations containing the same ideal: 149
- Sun Jul 7 21:42:39 2013 removing 6168862 relations and 4168862 ideals in 2000000 cliques
- Sun Jul 7 21:42:42 2013 commencing in-memory singleton removal
- Sun Jul 7 21:42:46 2013 begin with 66653725 relations and 57566342 unique ideals
- Sun Jul 7 21:43:22 2013 reduce to 66307613 relations and 53042968 ideals in 8 passes
- Sun Jul 7 21:43:22 2013 max relations containing the same ideal: 140
- Sun Jul 7 21:43:51 2013 removing 6107972 relations and 4107972 ideals in 2000000 cliques
- Sun Jul 7 21:43:53 2013 commencing in-memory singleton removal
- Sun Jul 7 21:43:57 2013 begin with 60199641 relations and 53042968 unique ideals
- Sun Jul 7 21:44:24 2013 reduce to 59835936 relations and 48561706 ideals in 7 passes
- Sun Jul 7 21:44:24 2013 max relations containing the same ideal: 131
- Sun Jul 7 21:44:48 2013 removing 6071307 relations and 4071307 ideals in 2000000 cliques
- Sun Jul 7 21:44:51 2013 commencing in-memory singleton removal
- Sun Jul 7 21:44:53 2013 begin with 53764629 relations and 48561706 unique ideals
- Sun Jul 7 21:45:17 2013 reduce to 53374515 relations and 44089005 ideals in 7 passes
- Sun Jul 7 21:45:17 2013 max relations containing the same ideal: 123
- Sun Jul 7 21:45:41 2013 removing 6050736 relations and 4050736 ideals in 2000000 cliques
- Sun Jul 7 21:45:43 2013 commencing in-memory singleton removal
- Sun Jul 7 21:45:46 2013 begin with 47323779 relations and 44089005 unique ideals
- Sun Jul 7 21:46:09 2013 reduce to 46898007 relations and 39599039 ideals in 7 passes
- Sun Jul 7 21:46:09 2013 max relations containing the same ideal: 114
- Sun Jul 7 21:46:28 2013 removing 6045415 relations and 4045415 ideals in 2000000 cliques
- Sun Jul 7 21:46:30 2013 commencing in-memory singleton removal
- Sun Jul 7 21:46:33 2013 begin with 40852592 relations and 39599039 unique ideals
- Sun Jul 7 21:46:51 2013 reduce to 40374309 relations and 35058175 ideals in 7 passes
- Sun Jul 7 21:46:51 2013 max relations containing the same ideal: 102
- Sun Jul 7 21:47:08 2013 removing 6047673 relations and 4047673 ideals in 2000000 cliques
- Sun Jul 7 21:47:09 2013 commencing in-memory singleton removal
- Sun Jul 7 21:47:11 2013 begin with 34326636 relations and 35058175 unique ideals
- Sun Jul 7 21:47:29 2013 reduce to 33777828 relations and 30438789 ideals in 8 passes
- Sun Jul 7 21:47:29 2013 max relations containing the same ideal: 91
- Sun Jul 7 21:47:43 2013 removing 6069737 relations and 4069737 ideals in 2000000 cliques
- Sun Jul 7 21:47:45 2013 commencing in-memory singleton removal
- Sun Jul 7 21:47:47 2013 begin with 27708091 relations and 30438789 unique ideals
- Sun Jul 7 21:48:02 2013 reduce to 27036806 relations and 25664552 ideals in 8 passes
- Sun Jul 7 21:48:02 2013 max relations containing the same ideal: 77
- Sun Jul 7 21:48:15 2013 removing 2356209 relations and 1743548 ideals in 612661 cliques
- Sun Jul 7 21:48:16 2013 commencing in-memory singleton removal
- Sun Jul 7 21:48:18 2013 begin with 24680597 relations and 25664552 unique ideals
- Sun Jul 7 21:48:29 2013 reduce to 24540155 relations and 23777715 ideals in 6 passes
- Sun Jul 7 21:48:29 2013 max relations containing the same ideal: 72
- Sun Jul 7 21:48:42 2013 relations with 0 large ideals: 2172
- Sun Jul 7 21:48:42 2013 relations with 1 large ideals: 12863
- Sun Jul 7 21:48:42 2013 relations with 2 large ideals: 178234
- Sun Jul 7 21:48:42 2013 relations with 3 large ideals: 1051209
- Sun Jul 7 21:48:42 2013 relations with 4 large ideals: 3268553
- Sun Jul 7 21:48:42 2013 relations with 5 large ideals: 5943723
- Sun Jul 7 21:48:42 2013 relations with 6 large ideals: 6711779
- Sun Jul 7 21:48:42 2013 relations with 7+ large ideals: 7371622
- Sun Jul 7 21:48:42 2013 commencing 2-way merge
- Sun Jul 7 21:48:53 2013 reduce to 16047088 relation sets and 15284648 unique ideals
- Sun Jul 7 21:48:53 2013 commencing full merge
- Sun Jul 7 21:53:23 2013 memory use: 1938.7 MB
- Sun Jul 7 21:53:25 2013 found 7290193 cycles, need 7218848
- Sun Jul 7 21:53:28 2013 weight of 7218848 cycles is about 881219685 (122.07/cycle)
- Sun Jul 7 21:53:28 2013 distribution of cycle lengths:
- Sun Jul 7 21:53:28 2013 1 relations: 212965
- Sun Jul 7 21:53:28 2013 2 relations: 388268
- Sun Jul 7 21:53:28 2013 3 relations: 486546
- Sun Jul 7 21:53:28 2013 4 relations: 528155
- Sun Jul 7 21:53:28 2013 5 relations: 560119
- Sun Jul 7 21:53:28 2013 6 relations: 567801
- Sun Jul 7 21:53:28 2013 7 relations: 565369
- Sun Jul 7 21:53:28 2013 8 relations: 542469
- Sun Jul 7 21:53:28 2013 9 relations: 508639
- Sun Jul 7 21:53:28 2013 10+ relations: 2858517
- Sun Jul 7 21:53:28 2013 heaviest cycle: 27 relations
- Sun Jul 7 21:53:29 2013 commencing cycle optimization
- Sun Jul 7 21:53:43 2013 start with 63362189 relations
- Sun Jul 7 21:55:43 2013 pruned 3040538 relations
- Sun Jul 7 21:55:43 2013 memory use: 1670.7 MB
- Sun Jul 7 21:55:43 2013 distribution of cycle lengths:
- Sun Jul 7 21:55:43 2013 1 relations: 212965
- Sun Jul 7 21:55:43 2013 2 relations: 399683
- Sun Jul 7 21:55:43 2013 3 relations: 509433
- Sun Jul 7 21:55:43 2013 4 relations: 552744
- Sun Jul 7 21:55:43 2013 5 relations: 591628
- Sun Jul 7 21:55:43 2013 6 relations: 599618
- Sun Jul 7 21:55:43 2013 7 relations: 598454
- Sun Jul 7 21:55:43 2013 8 relations: 571877
- Sun Jul 7 21:55:43 2013 9 relations: 535287
- Sun Jul 7 21:55:43 2013 10+ relations: 2647159
- Sun Jul 7 21:55:43 2013 heaviest cycle: 27 relations
- Sun Jul 7 21:55:59 2013 RelProcTime: 7574
- Sun Jul 7 21:55:59 2013
- Sun Jul 7 21:55:59 2013 commencing linear algebra
- Sun Jul 7 21:55:59 2013 read 7218848 cycles
- Sun Jul 7 21:56:11 2013 cycles contain 24150781 unique relations
- Sun Jul 7 21:59:49 2013 read 24150781 relations
- Sun Jul 7 22:00:21 2013 using 20 quadratic characters above 2147482362
- Sun Jul 7 22:01:45 2013 building initial matrix
- Sun Jul 7 22:06:31 2013 memory use: 3352.2 MB
- Sun Jul 7 22:06:34 2013 read 7218848 cycles
- Sun Jul 7 22:06:35 2013 matrix is 7218671 x 7218848 (3444.1 MB) with weight 1051851853 (145.71/col)
- Sun Jul 7 22:06:35 2013 sparse part has weight 816226038 (113.07/col)
- Sun Jul 7 22:07:42 2013 filtering completed in 2 passes
- Sun Jul 7 22:07:43 2013 matrix is 7218501 x 7218678 (3444.1 MB) with weight 1051843364 (145.71/col)
- Sun Jul 7 22:07:43 2013 sparse part has weight 816223383 (113.07/col)
- Sun Jul 7 22:08:47 2013 matrix starts at (0, 0)
- Sun Jul 7 22:08:49 2013 matrix is 7218501 x 7218678 (3444.1 MB) with weight 1051843364 (145.71/col)
- Sun Jul 7 22:08:49 2013 sparse part has weight 816223383 (113.07/col)
- Sun Jul 7 22:08:49 2013 saving the first 48 matrix rows for later
- Sun Jul 7 22:08:50 2013 matrix includes 64 packed rows
- Sun Jul 7 22:08:51 2013 matrix is 7218453 x 7218678 (3358.2 MB) with weight 902832043 (125.07/col)
- Sun Jul 7 22:08:51 2013 sparse part has weight 808150409 (111.95/col)
- Sun Jul 7 22:08:51 2013 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
- Sun Jul 7 22:09:17 2013 commencing Lanczos iteration (4 threads)
- Sun Jul 7 22:09:17 2013 memory use: 2793.4 MB
- Sun Jul 7 22:09:59 2013 linear algebra at 0.0%, ETA 53h 2m
- Sun Jul 7 22:10:12 2013 checkpointing every 140000 dimensions
- Tue Jul 9 05:02:55 2013 lanczos halted after 114157 iterations (dim = 7218450)
- Tue Jul 9 05:03:02 2013 recovered 30 nontrivial dependencies
- Tue Jul 9 05:03:02 2013 BLanczosTime: 112023
- Tue Jul 9 05:03:02 2013
- Tue Jul 9 05:03:02 2013 commencing square root phase
- Tue Jul 9 05:03:02 2013 handling dependencies 1 to 64
- Tue Jul 9 05:03:02 2013 reading relations for dependency 1
- Tue Jul 9 05:03:02 2013 read 3607754 cycles
- Tue Jul 9 05:03:07 2013 cycles contain 12072998 unique relations
- Tue Jul 9 05:06:30 2013 read 12072998 relations
- Tue Jul 9 05:07:09 2013 multiplying 12072998 relations
- Tue Jul 9 05:18:49 2013 multiply complete, coefficients have about 699.16 million bits
- Tue Jul 9 05:18:52 2013 initial square root is modulo 1872911
- Tue Jul 9 05:31:51 2013 sqrtTime: 1729
- Tue Jul 9 05:31:51 2013 prp64 factor: 3957499826043003026681977508556429204630334638827404697550068149
- Tue Jul 9 05:31:51 2013 prp103 factor: 2057462527678978814107818717602213311625928274792695098704010195907144568015404513381379826388808785797
- Tue Jul 9 05:31:51 2013 elapsed time 33:43:21
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