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- Wed Jan 30 15:59:29 2019
- Wed Jan 30 15:59:29 2019
- Wed Jan 30 15:59:29 2019 Msieve v. 1.53 (SVN unknown)
- Wed Jan 30 15:59:29 2019 random seeds: 852fb520 98524c61
- Wed Jan 30 15:59:29 2019 factoring 3444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449 (244 digits)
- Wed Jan 30 15:59:31 2019 searching for 15-digit factors
- Wed Jan 30 15:59:31 2019 commencing number field sieve (244-digit input)
- Wed Jan 30 15:59:31 2019 R0: -10000000000000000000000000000000000000000
- Wed Jan 30 15:59:31 2019 R1: 1
- Wed Jan 30 15:59:31 2019 A0: 41
- Wed Jan 30 15:59:31 2019 A1: 0
- Wed Jan 30 15:59:31 2019 A2: 0
- Wed Jan 30 15:59:31 2019 A3: 0
- Wed Jan 30 15:59:31 2019 A4: 0
- Wed Jan 30 15:59:31 2019 A5: 0
- Wed Jan 30 15:59:31 2019 A6: 31000
- Wed Jan 30 15:59:31 2019 skew 1.00, size 1.754e-12, alpha -0.117, combined = 1.806e-13 rroots = 0
- Wed Jan 30 15:59:31 2019
- Wed Jan 30 15:59:31 2019 commencing relation filtering
- Wed Jan 30 15:59:31 2019 setting target matrix density to 124.0
- Wed Jan 30 15:59:31 2019 estimated available RAM is 32721.3 MB
- Wed Jan 30 15:59:31 2019 commencing duplicate removal, pass 1
- Wed Jan 30 16:01:08 2019 error -5 reading relation 6863486
- Wed Jan 30 16:01:13 2019 error -9 reading relation 7243926
- Wed Jan 30 16:02:29 2019 error -5 reading relation 12750319
- Wed Jan 30 16:02:34 2019 error -15 reading relation 13080363
- Wed Jan 30 16:03:12 2019 error -9 reading relation 15898803
- Wed Jan 30 16:03:35 2019 error -15 reading relation 17506853
- Wed Jan 30 16:03:41 2019 error -9 reading relation 17992287
- Wed Jan 30 16:03:50 2019 error -9 reading relation 18638095
- Wed Jan 30 16:03:56 2019 error -1 reading relation 19106815
- Wed Jan 30 16:04:09 2019 error -9 reading relation 20030101
- Wed Jan 30 16:57:28 2019 error -9 reading relation 253121378
- Wed Jan 30 16:57:29 2019 error -9 reading relation 253172327
- Wed Jan 30 16:57:36 2019 error -9 reading relation 253670786
- Wed Jan 30 16:57:41 2019 error -9 reading relation 254061516
- Wed Jan 30 16:57:44 2019 error -15 reading relation 254296613
- Wed Jan 30 16:57:44 2019 error -1 reading relation 254297460
- Wed Jan 30 16:57:48 2019 error -9 reading relation 254527238
- Wed Jan 30 16:57:48 2019 error -9 reading relation 254540107
- Wed Jan 30 16:57:48 2019 error -1 reading relation 254544210
- Wed Jan 30 16:57:49 2019 error -15 reading relation 254636029
- Wed Jan 30 16:57:49 2019 error -15 reading relation 254636799
- Wed Jan 30 16:57:50 2019 error -1 reading relation 254729362
- Wed Jan 30 16:57:51 2019 error -5 reading relation 254766756
- Wed Jan 30 16:58:20 2019 skipped 752 relations with b > 2^32
- Wed Jan 30 16:58:20 2019 skipped 843 relations with composite factors
- Wed Jan 30 16:58:20 2019 found 59109896 hash collisions in 255995925 relations
- Wed Jan 30 16:58:42 2019 commencing duplicate removal, pass 2
- Wed Jan 30 17:04:36 2019 found 62281800 duplicates and 193714125 unique relations
- Wed Jan 30 17:04:36 2019 memory use: 1449.5 MB
- Wed Jan 30 17:04:36 2019 reading ideals above 200605696
- Wed Jan 30 17:04:36 2019 commencing singleton removal, initial pass
- Wed Jan 30 17:37:36 2019 memory use: 3012.0 MB
- Wed Jan 30 17:37:36 2019 reading all ideals from disk
- Wed Jan 30 17:37:38 2019 memory use: 3260.7 MB
- Wed Jan 30 17:37:44 2019 commencing in-memory singleton removal
- Wed Jan 30 17:37:50 2019 begin with 193714125 relations and 154795878 unique ideals
- Wed Jan 30 17:39:05 2019 reduce to 127057270 relations and 81462146 ideals in 14 passes
- Wed Jan 30 17:39:05 2019 max relations containing the same ideal: 32
- Wed Jan 30 17:39:17 2019 reading ideals above 720000
- Wed Jan 30 17:39:17 2019 commencing singleton removal, initial pass
- Wed Jan 30 18:06:47 2019 memory use: 2756.0 MB
- Wed Jan 30 18:06:48 2019 reading all ideals from disk
- Wed Jan 30 18:06:52 2019 memory use: 5048.9 MB
- Wed Jan 30 18:07:07 2019 keeping 103025757 ideals with weight <= 200, target excess is 660593
- Wed Jan 30 18:07:23 2019 commencing in-memory singleton removal
- Wed Jan 30 18:07:34 2019 begin with 127057270 relations and 103025757 unique ideals
- Wed Jan 30 18:09:13 2019 reduce to 127027525 relations and 102995998 ideals in 8 passes
- Wed Jan 30 18:09:13 2019 max relations containing the same ideal: 200
- Wed Jan 30 18:10:13 2019 removing 10790447 relations and 8790447 ideals in 2000000 cliques
- Wed Jan 30 18:10:17 2019 commencing in-memory singleton removal
- Wed Jan 30 18:10:27 2019 begin with 116237078 relations and 102995998 unique ideals
- Wed Jan 30 18:11:57 2019 reduce to 115592251 relations and 93547949 ideals in 8 passes
- Wed Jan 30 18:11:57 2019 max relations containing the same ideal: 196
- Wed Jan 30 18:12:52 2019 removing 8193195 relations and 6193195 ideals in 2000000 cliques
- Wed Jan 30 18:12:56 2019 commencing in-memory singleton removal
- Wed Jan 30 18:13:06 2019 begin with 107399056 relations and 93547949 unique ideals
- Wed Jan 30 18:14:20 2019 reduce to 106975881 relations and 86924093 ideals in 7 passes
- Wed Jan 30 18:14:20 2019 max relations containing the same ideal: 188
- Wed Jan 30 18:15:12 2019 removing 7392401 relations and 5392401 ideals in 2000000 cliques
- Wed Jan 30 18:15:14 2019 commencing in-memory singleton removal
- Wed Jan 30 18:15:23 2019 begin with 99583480 relations and 86924093 unique ideals
- Wed Jan 30 18:16:31 2019 reduce to 99215799 relations and 81157483 ideals in 7 passes
- Wed Jan 30 18:16:31 2019 max relations containing the same ideal: 179
- Wed Jan 30 18:17:19 2019 removing 6969629 relations and 4969629 ideals in 2000000 cliques
- Wed Jan 30 18:17:22 2019 commencing in-memory singleton removal
- Wed Jan 30 18:17:30 2019 begin with 92246170 relations and 81157483 unique ideals
- Wed Jan 30 18:18:33 2019 reduce to 91904797 relations and 75840247 ideals in 7 passes
- Wed Jan 30 18:18:33 2019 max relations containing the same ideal: 173
- Wed Jan 30 18:19:19 2019 removing 6697186 relations and 4697186 ideals in 2000000 cliques
- Wed Jan 30 18:19:21 2019 commencing in-memory singleton removal
- Wed Jan 30 18:19:29 2019 begin with 85207611 relations and 75840247 unique ideals
- Wed Jan 30 18:20:27 2019 reduce to 84876944 relations and 70805965 ideals in 7 passes
- Wed Jan 30 18:20:27 2019 max relations containing the same ideal: 164
- Wed Jan 30 18:21:09 2019 removing 6503211 relations and 4503211 ideals in 2000000 cliques
- Wed Jan 30 18:21:11 2019 commencing in-memory singleton removal
- Wed Jan 30 18:21:18 2019 begin with 78373733 relations and 70805965 unique ideals
- Wed Jan 30 18:22:11 2019 reduce to 78047770 relations and 65970215 ideals in 7 passes
- Wed Jan 30 18:22:11 2019 max relations containing the same ideal: 154
- Wed Jan 30 18:22:48 2019 removing 6359377 relations and 4359377 ideals in 2000000 cliques
- Wed Jan 30 18:22:51 2019 commencing in-memory singleton removal
- Wed Jan 30 18:22:57 2019 begin with 71688393 relations and 65970215 unique ideals
- Wed Jan 30 18:23:50 2019 reduce to 71356139 relations and 61271197 ideals in 8 passes
- Wed Jan 30 18:23:50 2019 max relations containing the same ideal: 148
- Wed Jan 30 18:24:24 2019 removing 6251272 relations and 4251272 ideals in 2000000 cliques
- Wed Jan 30 18:24:27 2019 commencing in-memory singleton removal
- Wed Jan 30 18:24:32 2019 begin with 65104867 relations and 61271197 unique ideals
- Wed Jan 30 18:25:14 2019 reduce to 64759544 relations and 56666381 ideals in 7 passes
- Wed Jan 30 18:25:14 2019 max relations containing the same ideal: 138
- Wed Jan 30 18:25:45 2019 removing 6173043 relations and 4173043 ideals in 2000000 cliques
- Wed Jan 30 18:25:48 2019 commencing in-memory singleton removal
- Wed Jan 30 18:25:52 2019 begin with 58586501 relations and 56666381 unique ideals
- Wed Jan 30 18:26:30 2019 reduce to 58215346 relations and 52112341 ideals in 7 passes
- Wed Jan 30 18:26:30 2019 max relations containing the same ideal: 128
- Wed Jan 30 18:26:58 2019 removing 6128686 relations and 4128686 ideals in 2000000 cliques
- Wed Jan 30 18:27:00 2019 commencing in-memory singleton removal
- Wed Jan 30 18:27:04 2019 begin with 52086660 relations and 52112341 unique ideals
- Wed Jan 30 18:27:38 2019 reduce to 51673221 relations and 47558171 ideals in 7 passes
- Wed Jan 30 18:27:38 2019 max relations containing the same ideal: 120
- Wed Jan 30 18:28:04 2019 removing 6124168 relations and 4124168 ideals in 2000000 cliques
- Wed Jan 30 18:28:06 2019 commencing in-memory singleton removal
- Wed Jan 30 18:28:09 2019 begin with 45549053 relations and 47558171 unique ideals
- Wed Jan 30 18:28:46 2019 reduce to 45066672 relations and 42935904 ideals in 9 passes
- Wed Jan 30 18:28:46 2019 max relations containing the same ideal: 105
- Wed Jan 30 18:29:08 2019 removing 4504971 relations and 3140491 ideals in 1364480 cliques
- Wed Jan 30 18:29:10 2019 commencing in-memory singleton removal
- Wed Jan 30 18:29:13 2019 begin with 40561701 relations and 42935904 unique ideals
- Wed Jan 30 18:29:42 2019 reduce to 40239498 relations and 39464695 ideals in 8 passes
- Wed Jan 30 18:29:42 2019 max relations containing the same ideal: 103
- Wed Jan 30 18:30:02 2019 removing 57795 relations and 49280 ideals in 8515 cliques
- Wed Jan 30 18:30:03 2019 commencing in-memory singleton removal
- Wed Jan 30 18:30:06 2019 begin with 40181703 relations and 39464695 unique ideals
- Wed Jan 30 18:30:20 2019 reduce to 40181643 relations and 39415355 ideals in 4 passes
- Wed Jan 30 18:30:20 2019 max relations containing the same ideal: 102
- Wed Jan 30 18:30:30 2019 relations with 0 large ideals: 24799
- Wed Jan 30 18:30:30 2019 relations with 1 large ideals: 9908
- Wed Jan 30 18:30:30 2019 relations with 2 large ideals: 121503
- Wed Jan 30 18:30:30 2019 relations with 3 large ideals: 842932
- Wed Jan 30 18:30:30 2019 relations with 4 large ideals: 3202947
- Wed Jan 30 18:30:30 2019 relations with 5 large ideals: 7289882
- Wed Jan 30 18:30:30 2019 relations with 6 large ideals: 10448166
- Wed Jan 30 18:30:30 2019 relations with 7+ large ideals: 18241506
- Wed Jan 30 18:30:30 2019 commencing 2-way merge
- Wed Jan 30 18:30:56 2019 reduce to 27724792 relation sets and 26958504 unique ideals
- Wed Jan 30 18:30:56 2019 commencing full merge
- Wed Jan 30 18:43:03 2019 memory use: 3437.7 MB
- Wed Jan 30 18:43:07 2019 found 12205228 cycles, need 12182704
- Wed Jan 30 18:43:08 2019 weight of 12182704 cycles is about 1511174852 (124.04/cycle)
- Wed Jan 30 18:43:08 2019 distribution of cycle lengths:
- Wed Jan 30 18:43:08 2019 1 relations: 394133
- Wed Jan 30 18:43:08 2019 2 relations: 637794
- Wed Jan 30 18:43:08 2019 3 relations: 797449
- Wed Jan 30 18:43:08 2019 4 relations: 869566
- Wed Jan 30 18:43:08 2019 5 relations: 914098
- Wed Jan 30 18:43:08 2019 6 relations: 925088
- Wed Jan 30 18:43:08 2019 7 relations: 917134
- Wed Jan 30 18:43:08 2019 8 relations: 881482
- Wed Jan 30 18:43:08 2019 9 relations: 829818
- Wed Jan 30 18:43:08 2019 10+ relations: 5016142
- Wed Jan 30 18:43:08 2019 heaviest cycle: 28 relations
- Wed Jan 30 18:43:11 2019 commencing cycle optimization
- Wed Jan 30 18:43:34 2019 start with 110578299 relations
- Wed Jan 30 18:49:21 2019 pruned 5683920 relations
- Wed Jan 30 18:49:21 2019 memory use: 2814.7 MB
- Wed Jan 30 18:49:21 2019 distribution of cycle lengths:
- Wed Jan 30 18:49:21 2019 1 relations: 394133
- Wed Jan 30 18:49:21 2019 2 relations: 655583
- Wed Jan 30 18:49:21 2019 3 relations: 834584
- Wed Jan 30 18:49:21 2019 4 relations: 911792
- Wed Jan 30 18:49:21 2019 5 relations: 967290
- Wed Jan 30 18:49:21 2019 6 relations: 978295
- Wed Jan 30 18:49:21 2019 7 relations: 973850
- Wed Jan 30 18:49:21 2019 8 relations: 930322
- Wed Jan 30 18:49:21 2019 9 relations: 874815
- Wed Jan 30 18:49:21 2019 10+ relations: 4662040
- Wed Jan 30 18:49:21 2019 heaviest cycle: 28 relations
- Wed Jan 30 18:49:50 2019 RelProcTime: 10219
- Wed Jan 30 18:49:50 2019
- Wed Jan 30 18:49:50 2019 commencing linear algebra
- Wed Jan 30 18:49:52 2019 read 12182704 cycles
- Wed Jan 30 18:50:22 2019 cycles contain 39809589 unique relations
- Wed Jan 30 18:58:38 2019 read 39809589 relations
- Wed Jan 30 19:00:19 2019 using 20 quadratic characters above 4294917295
- Wed Jan 30 19:03:06 2019 building initial matrix
- Wed Jan 30 19:12:58 2019 memory use: 5281.7 MB
- Wed Jan 30 19:13:09 2019 read 12182704 cycles
- Wed Jan 30 19:13:13 2019 matrix is 12182527 x 12182704 (5833.4 MB) with weight 1669772456 (137.06/col)
- Wed Jan 30 19:13:13 2019 sparse part has weight 1407369735 (115.52/col)
- Wed Jan 30 19:16:23 2019 filtering completed in 2 passes
- Wed Jan 30 19:16:26 2019 matrix is 12182445 x 12182622 (5833.4 MB) with weight 1669769558 (137.06/col)
- Wed Jan 30 19:16:26 2019 sparse part has weight 1407368746 (115.52/col)
- Wed Jan 30 19:17:43 2019 matrix starts at (0, 0)
- Wed Jan 30 19:17:50 2019 matrix is 12182445 x 12182622 (5833.4 MB) with weight 1669769558 (137.06/col)
- Wed Jan 30 19:17:50 2019 sparse part has weight 1407368746 (115.52/col)
- Wed Jan 30 19:17:50 2019 saving the first 48 matrix rows for later
- Wed Jan 30 19:17:59 2019 matrix includes 64 packed rows
- Wed Jan 30 19:18:02 2019 matrix is 12182397 x 12182622 (5600.1 MB) with weight 1434918614 (117.78/col)
- Wed Jan 30 19:18:02 2019 sparse part has weight 1346218249 (110.50/col)
- Wed Jan 30 19:18:02 2019 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
- Wed Jan 30 19:19:35 2019 commencing Lanczos iteration (8 threads)
- Wed Jan 30 19:19:35 2019 memory use: 4768.7 MB
- Wed Jan 30 19:20:41 2019 linear algebra at 0.0%, ETA 140h25m
- Wed Jan 30 19:21:02 2019 checkpointing every 90000 dimensions
- Tue Feb 5 15:46:00 2019 lanczos halted after 192650 iterations (dim = 12182396)
- Tue Feb 5 15:46:37 2019 recovered 36 nontrivial dependencies
- Tue Feb 5 15:46:51 2019 BLanczosTime: 507421
- Tue Feb 5 15:46:51 2019
- Tue Feb 5 15:46:51 2019 commencing square root phase
- Tue Feb 5 15:46:51 2019 handling dependencies 1 to 64
- Tue Feb 5 15:46:51 2019 reading relations for dependency 1
- Tue Feb 5 15:46:56 2019 read 6092480 cycles
- Tue Feb 5 15:47:11 2019 cycles contain 19903928 unique relations
- Tue Feb 5 15:54:58 2019 read 19903928 relations
- Tue Feb 5 15:56:50 2019 multiplying 19903928 relations
- Tue Feb 5 16:19:46 2019 multiply complete, coefficients have about 783.89 million bits
- Tue Feb 5 16:19:51 2019 initial square root is modulo 10781131
- Tue Feb 5 16:46:16 2019 sqrtTime: 3565
- Tue Feb 5 16:46:16 2019 p113 factor: 24543310879344243726934368277002410485358255103494262316185905267354843063701132416657702719152919063918464644709
- Tue Feb 5 16:46:16 2019 p132 factor: 140341474765872103352237175236818954287733451600868013460914891028258754826925077382319635822554879028953766654395798281139331150861
- Tue Feb 5 16:46:16 2019 elapsed time 144:46:47
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