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- Wed May 29 09:45:06 2019
- Wed May 29 09:45:06 2019
- Wed May 29 09:45:06 2019 Msieve v. 1.54 (SVN 1025)
- Wed May 29 09:45:06 2019 random seeds: 9e762cb1 5ba31b44
- Wed May 29 09:45:06 2019 factoring 249420906328864813002585693186064097292681903704008873307534354071285750135061364089654279226499648945957513523715997509873437937856429749629240935080414883930096200620238061147566677148227776704077803 (201 digits)
- Wed May 29 09:45:06 2019 searching for 15-digit factors
- Wed May 29 09:45:07 2019 commencing number field sieve (201-digit input)
- Wed May 29 09:45:07 2019 R0: 811795320536133573571931534665380233173841533961
- Wed May 29 09:45:07 2019 R1: -89543024325523737224653100000000000000000000000
- Wed May 29 09:45:07 2019 A0: -1
- Wed May 29 09:45:07 2019 A1: 3
- Wed May 29 09:45:07 2019 A2: 3
- Wed May 29 09:45:07 2019 A3: -4
- Wed May 29 09:45:07 2019 A4: -1
- Wed May 29 09:45:07 2019 A5: 1
- Wed May 29 09:45:07 2019 skew 1.00, size 2.757e-16, alpha 2.379, combined = 3.973e-13 rroots = 5
- Wed May 29 09:45:07 2019
- Wed May 29 09:45:07 2019 commencing relation filtering
- Wed May 29 09:45:07 2019 setting max relations to 212000000
- Wed May 29 09:45:07 2019 setting target matrix density to 132.0
- Wed May 29 09:45:07 2019 estimated available RAM is 15984.6 MB
- Wed May 29 09:45:07 2019 commencing duplicate removal, pass 1
- Wed May 29 10:00:30 2019 error -1 reading relation 140374067
- Wed May 29 10:02:01 2019 error -15 reading relation 154107176
- Wed May 29 10:06:36 2019 error -1 reading relation 195159401
- Wed May 29 10:08:28 2019 skipped 236 relations with b > 2^32
- Wed May 29 10:08:28 2019 skipped 1 relations with composite factors
- Wed May 29 10:08:28 2019 found 9806929 hash collisions in 211999760 relations
- Wed May 29 10:08:28 2019 commencing duplicate removal, pass 2
- Wed May 29 10:09:24 2019 found 0 duplicates and 211999760 unique relations
- Wed May 29 10:09:24 2019 memory use: 522.4 MB
- Wed May 29 10:09:24 2019 reading ideals above 159842304
- Wed May 29 10:09:24 2019 commencing singleton removal, initial pass
- Wed May 29 10:26:09 2019 memory use: 3012.0 MB
- Wed May 29 10:26:09 2019 reading all ideals from disk
- Wed May 29 10:26:18 2019 memory use: 3505.6 MB
- Wed May 29 10:26:25 2019 commencing in-memory singleton removal
- Wed May 29 10:26:32 2019 begin with 211999760 relations and 161267775 unique ideals
- Wed May 29 10:27:51 2019 reduce to 150294691 relations and 94208656 ideals in 13 passes
- Wed May 29 10:27:51 2019 max relations containing the same ideal: 47
- Wed May 29 10:27:58 2019 reading ideals above 720000
- Wed May 29 10:27:58 2019 commencing singleton removal, initial pass
- Wed May 29 10:43:53 2019 memory use: 3012.0 MB
- Wed May 29 10:43:53 2019 reading all ideals from disk
- Wed May 29 10:44:07 2019 memory use: 5876.2 MB
- Wed May 29 10:44:27 2019 keeping 111356824 ideals with weight <= 200, target excess is 782853
- Wed May 29 10:44:45 2019 commencing in-memory singleton removal
- Wed May 29 10:44:58 2019 begin with 150294693 relations and 111356824 unique ideals
- Wed May 29 10:46:37 2019 reduce to 150286334 relations and 111348464 ideals in 7 passes
- Wed May 29 10:46:37 2019 max relations containing the same ideal: 200
- Wed May 29 10:47:41 2019 removing 9628971 relations and 7628971 ideals in 2000000 cliques
- Wed May 29 10:47:44 2019 commencing in-memory singleton removal
- Wed May 29 10:47:58 2019 begin with 140657363 relations and 111348464 unique ideals
- Wed May 29 10:49:29 2019 reduce to 140199748 relations and 103253992 ideals in 7 passes
- Wed May 29 10:49:29 2019 max relations containing the same ideal: 199
- Wed May 29 10:50:29 2019 removing 7372157 relations and 5372157 ideals in 2000000 cliques
- Wed May 29 10:50:32 2019 commencing in-memory singleton removal
- Wed May 29 10:50:44 2019 begin with 132827591 relations and 103253992 unique ideals
- Wed May 29 10:52:07 2019 reduce to 132517308 relations and 97566994 ideals in 7 passes
- Wed May 29 10:52:07 2019 max relations containing the same ideal: 193
- Wed May 29 10:53:03 2019 removing 6728146 relations and 4728146 ideals in 2000000 cliques
- Wed May 29 10:53:05 2019 commencing in-memory singleton removal
- Wed May 29 10:53:17 2019 begin with 125789162 relations and 97566994 unique ideals
- Wed May 29 10:54:34 2019 reduce to 125520082 relations and 92565896 ideals in 7 passes
- Wed May 29 10:54:34 2019 max relations containing the same ideal: 189
- Wed May 29 10:55:27 2019 removing 6391137 relations and 4391137 ideals in 2000000 cliques
- Wed May 29 10:55:29 2019 commencing in-memory singleton removal
- Wed May 29 10:55:39 2019 begin with 119128945 relations and 92565896 unique ideals
- Wed May 29 10:56:52 2019 reduce to 118881717 relations and 87923809 ideals in 7 passes
- Wed May 29 10:56:52 2019 max relations containing the same ideal: 184
- Wed May 29 10:57:41 2019 removing 6178114 relations and 4178114 ideals in 2000000 cliques
- Wed May 29 10:57:44 2019 commencing in-memory singleton removal
- Wed May 29 10:57:53 2019 begin with 112703603 relations and 87923809 unique ideals
- Wed May 29 10:59:00 2019 reduce to 112467657 relations and 83506082 ideals in 7 passes
- Wed May 29 10:59:00 2019 max relations containing the same ideal: 179
- Wed May 29 10:59:48 2019 removing 6031816 relations and 4031816 ideals in 2000000 cliques
- Wed May 29 10:59:50 2019 commencing in-memory singleton removal
- Wed May 29 10:59:59 2019 begin with 106435841 relations and 83506082 unique ideals
- Wed May 29 11:00:54 2019 reduce to 106206744 relations and 79241360 ideals in 6 passes
- Wed May 29 11:00:54 2019 max relations containing the same ideal: 171
- Wed May 29 11:01:39 2019 removing 5917160 relations and 3917160 ideals in 2000000 cliques
- Wed May 29 11:01:41 2019 commencing in-memory singleton removal
- Wed May 29 11:01:50 2019 begin with 100289584 relations and 79241360 unique ideals
- Wed May 29 11:02:48 2019 reduce to 100062140 relations and 75092843 ideals in 7 passes
- Wed May 29 11:02:48 2019 max relations containing the same ideal: 167
- Wed May 29 11:03:31 2019 removing 5835752 relations and 3835752 ideals in 2000000 cliques
- Wed May 29 11:03:33 2019 commencing in-memory singleton removal
- Wed May 29 11:03:41 2019 begin with 94226388 relations and 75092843 unique ideals
- Wed May 29 11:04:28 2019 reduce to 93996947 relations and 71023421 ideals in 6 passes
- Wed May 29 11:04:28 2019 max relations containing the same ideal: 159
- Wed May 29 11:05:06 2019 removing 5770956 relations and 3770956 ideals in 2000000 cliques
- Wed May 29 11:05:08 2019 commencing in-memory singleton removal
- Wed May 29 11:05:15 2019 begin with 88225991 relations and 71023421 unique ideals
- Wed May 29 11:05:57 2019 reduce to 87993558 relations and 67015578 ideals in 6 passes
- Wed May 29 11:05:57 2019 max relations containing the same ideal: 151
- Wed May 29 11:06:32 2019 removing 5722057 relations and 3722057 ideals in 2000000 cliques
- Wed May 29 11:06:35 2019 commencing in-memory singleton removal
- Wed May 29 11:06:41 2019 begin with 82271501 relations and 67015578 unique ideals
- Wed May 29 11:07:19 2019 reduce to 82032643 relations and 63049760 ideals in 6 passes
- Wed May 29 11:07:19 2019 max relations containing the same ideal: 145
- Wed May 29 11:07:51 2019 removing 5682482 relations and 3682482 ideals in 2000000 cliques
- Wed May 29 11:07:53 2019 commencing in-memory singleton removal
- Wed May 29 11:08:00 2019 begin with 76350161 relations and 63049760 unique ideals
- Wed May 29 11:08:43 2019 reduce to 76102224 relations and 59114035 ideals in 7 passes
- Wed May 29 11:08:43 2019 max relations containing the same ideal: 136
- Wed May 29 11:09:11 2019 removing 5655783 relations and 3655783 ideals in 2000000 cliques
- Wed May 29 11:09:13 2019 commencing in-memory singleton removal
- Wed May 29 11:09:17 2019 begin with 70446441 relations and 59114035 unique ideals
- Wed May 29 11:09:45 2019 reduce to 70187265 relations and 55193093 ideals in 6 passes
- Wed May 29 11:09:45 2019 max relations containing the same ideal: 131
- Wed May 29 11:10:09 2019 removing 5641619 relations and 3641619 ideals in 2000000 cliques
- Wed May 29 11:10:10 2019 commencing in-memory singleton removal
- Wed May 29 11:10:14 2019 begin with 64545646 relations and 55193093 unique ideals
- Wed May 29 11:10:38 2019 reduce to 64273036 relations and 51271832 ideals in 6 passes
- Wed May 29 11:10:38 2019 max relations containing the same ideal: 125
- Wed May 29 11:11:00 2019 removing 5630813 relations and 3630813 ideals in 2000000 cliques
- Wed May 29 11:11:02 2019 commencing in-memory singleton removal
- Wed May 29 11:11:05 2019 begin with 58642223 relations and 51271832 unique ideals
- Wed May 29 11:11:30 2019 reduce to 58349550 relations and 47340577 ideals in 7 passes
- Wed May 29 11:11:30 2019 max relations containing the same ideal: 118
- Wed May 29 11:11:51 2019 removing 5627204 relations and 3627204 ideals in 2000000 cliques
- Wed May 29 11:11:52 2019 commencing in-memory singleton removal
- Wed May 29 11:11:56 2019 begin with 52722346 relations and 47340577 unique ideals
- Wed May 29 11:12:17 2019 reduce to 52405274 relations and 43387237 ideals in 7 passes
- Wed May 29 11:12:17 2019 max relations containing the same ideal: 113
- Wed May 29 11:12:34 2019 removing 5636638 relations and 3636638 ideals in 2000000 cliques
- Wed May 29 11:12:35 2019 commencing in-memory singleton removal
- Wed May 29 11:12:38 2019 begin with 46768636 relations and 43387237 unique ideals
- Wed May 29 11:12:55 2019 reduce to 46418791 relations and 39389560 ideals in 7 passes
- Wed May 29 11:12:55 2019 max relations containing the same ideal: 107
- Wed May 29 11:13:10 2019 removing 5652964 relations and 3652964 ideals in 2000000 cliques
- Wed May 29 11:13:11 2019 commencing in-memory singleton removal
- Wed May 29 11:13:13 2019 begin with 40765827 relations and 39389560 unique ideals
- Wed May 29 11:13:26 2019 reduce to 40368032 relations and 35324537 ideals in 6 passes
- Wed May 29 11:13:26 2019 max relations containing the same ideal: 97
- Wed May 29 11:13:39 2019 removing 5683795 relations and 3683795 ideals in 2000000 cliques
- Wed May 29 11:13:41 2019 commencing in-memory singleton removal
- Wed May 29 11:13:43 2019 begin with 34684237 relations and 35324537 unique ideals
- Wed May 29 11:13:55 2019 reduce to 34216112 relations and 31153623 ideals in 7 passes
- Wed May 29 11:13:55 2019 max relations containing the same ideal: 83
- Wed May 29 11:14:07 2019 removing 5742053 relations and 3742053 ideals in 2000000 cliques
- Wed May 29 11:14:08 2019 commencing in-memory singleton removal
- Wed May 29 11:14:09 2019 begin with 28474059 relations and 31153623 unique ideals
- Wed May 29 11:14:20 2019 reduce to 27882569 relations and 26791407 ideals in 7 passes
- Wed May 29 11:14:20 2019 max relations containing the same ideal: 70
- Wed May 29 11:14:29 2019 removing 811705 relations and 628653 ideals in 183052 cliques
- Wed May 29 11:14:29 2019 commencing in-memory singleton removal
- Wed May 29 11:14:31 2019 begin with 27070864 relations and 26791407 unique ideals
- Wed May 29 11:14:39 2019 reduce to 27052229 relations and 26143996 ideals in 6 passes
- Wed May 29 11:14:39 2019 max relations containing the same ideal: 69
- Wed May 29 11:14:51 2019 relations with 0 large ideals: 0
- Wed May 29 11:14:51 2019 relations with 1 large ideals: 14989
- Wed May 29 11:14:51 2019 relations with 2 large ideals: 218517
- Wed May 29 11:14:51 2019 relations with 3 large ideals: 1256370
- Wed May 29 11:14:51 2019 relations with 4 large ideals: 3785171
- Wed May 29 11:14:51 2019 relations with 5 large ideals: 6679091
- Wed May 29 11:14:51 2019 relations with 6 large ideals: 7285339
- Wed May 29 11:14:51 2019 relations with 7+ large ideals: 7812752
- Wed May 29 11:14:51 2019 commencing 2-way merge
- Wed May 29 11:15:02 2019 reduce to 18286358 relation sets and 17378125 unique ideals
- Wed May 29 11:15:02 2019 commencing full merge
- Wed May 29 11:19:52 2019 memory use: 2194.7 MB
- Wed May 29 11:19:53 2019 found 8059813 cycles, need 7998325
- Wed May 29 11:19:56 2019 weight of 7998325 cycles is about 1055817756 (132.00/cycle)
- Wed May 29 11:19:56 2019 distribution of cycle lengths:
- Wed May 29 11:19:56 2019 1 relations: 172859
- Wed May 29 11:19:56 2019 2 relations: 372319
- Wed May 29 11:19:56 2019 3 relations: 488831
- Wed May 29 11:19:56 2019 4 relations: 540497
- Wed May 29 11:19:56 2019 5 relations: 586875
- Wed May 29 11:19:56 2019 6 relations: 599926
- Wed May 29 11:19:56 2019 7 relations: 606746
- Wed May 29 11:19:56 2019 8 relations: 588550
- Wed May 29 11:19:56 2019 9 relations: 559880
- Wed May 29 11:19:56 2019 10+ relations: 3481842
- Wed May 29 11:19:56 2019 heaviest cycle: 28 relations
- Wed May 29 11:19:58 2019 commencing cycle optimization
- Wed May 29 11:20:11 2019 start with 74992803 relations
- Wed May 29 11:22:18 2019 pruned 4170479 relations
- Wed May 29 11:22:18 2019 memory use: 1894.0 MB
- Wed May 29 11:22:18 2019 distribution of cycle lengths:
- Wed May 29 11:22:18 2019 1 relations: 172859
- Wed May 29 11:22:18 2019 2 relations: 384499
- Wed May 29 11:22:18 2019 3 relations: 513417
- Wed May 29 11:22:18 2019 4 relations: 569392
- Wed May 29 11:22:18 2019 5 relations: 624395
- Wed May 29 11:22:18 2019 6 relations: 639925
- Wed May 29 11:22:18 2019 7 relations: 648962
- Wed May 29 11:22:18 2019 8 relations: 627725
- Wed May 29 11:22:18 2019 9 relations: 595525
- Wed May 29 11:22:18 2019 10+ relations: 3221626
- Wed May 29 11:22:18 2019 heaviest cycle: 28 relations
- Wed May 29 11:22:31 2019 RelProcTime: 5844
- Wed May 29 11:22:31 2019 elapsed time 01:37:25
- Wed May 29 11:32:10 2019
- Wed May 29 11:32:10 2019
- Wed May 29 11:32:10 2019 Msieve v. 1.54 (SVN 1025)
- Wed May 29 11:32:10 2019 random seeds: 5623e27e 3fdb08dc
- Wed May 29 11:32:10 2019 factoring 249420906328864813002585693186064097292681903704008873307534354071285750135061364089654279226499648945957513523715997509873437937856429749629240935080414883930096200620238061147566677148227776704077803 (201 digits)
- Wed May 29 11:32:11 2019 searching for 15-digit factors
- Wed May 29 11:32:11 2019 commencing number field sieve (201-digit input)
- Wed May 29 11:32:11 2019 R0: 811795320536133573571931534665380233173841533961
- Wed May 29 11:32:11 2019 R1: -89543024325523737224653100000000000000000000000
- Wed May 29 11:32:11 2019 A0: -1
- Wed May 29 11:32:11 2019 A1: 3
- Wed May 29 11:32:11 2019 A2: 3
- Wed May 29 11:32:11 2019 A3: -4
- Wed May 29 11:32:11 2019 A4: -1
- Wed May 29 11:32:11 2019 A5: 1
- Wed May 29 11:32:11 2019 skew 1.00, size 2.757e-16, alpha 2.379, combined = 3.973e-13 rroots = 5
- Wed May 29 11:32:11 2019
- Wed May 29 11:32:11 2019 commencing linear algebra
- Wed May 29 11:32:12 2019 read 7998325 cycles
- Wed May 29 11:32:24 2019 cycles contain 26657670 unique relations
- Wed May 29 11:34:26 2019 read 26657670 relations
- Wed May 29 11:35:01 2019 using 20 quadratic characters above 4294917295
- Wed May 29 11:36:32 2019 building initial matrix
- Wed May 29 11:40:38 2019 memory use: 3345.4 MB
- Wed May 29 11:40:41 2019 read 7998325 cycles
- Wed May 29 11:40:42 2019 matrix is 7998148 x 7998325 (4020.1 MB) with weight 1143386798 (142.95/col)
- Wed May 29 11:40:42 2019 sparse part has weight 965872081 (120.76/col)
- Wed May 29 11:42:09 2019 filtering completed in 2 passes
- Wed May 29 11:42:10 2019 matrix is 7998027 x 7998204 (4020.1 MB) with weight 1143382054 (142.95/col)
- Wed May 29 11:42:10 2019 sparse part has weight 965869977 (120.76/col)
- Wed May 29 11:42:29 2019 matrix starts at (0, 0)
- Wed May 29 11:42:30 2019 matrix is 7998027 x 7998204 (4020.1 MB) with weight 1143382054 (142.95/col)
- Wed May 29 11:42:30 2019 sparse part has weight 965869977 (120.76/col)
- Wed May 29 11:42:30 2019 saving the first 48 matrix rows for later
- Wed May 29 11:42:31 2019 matrix includes 64 packed rows
- Wed May 29 11:42:32 2019 matrix is 7997979 x 7998204 (3851.9 MB) with weight 991941908 (124.02/col)
- Wed May 29 11:42:32 2019 sparse part has weight 929770638 (116.25/col)
- Wed May 29 11:42:32 2019 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
- Wed May 29 11:43:02 2019 commencing Lanczos iteration (4 threads)
- Wed May 29 11:43:02 2019 memory use: 3639.9 MB
- Wed May 29 11:43:32 2019 linear algebra at 0.0%, ETA 42h24m
- Wed May 29 11:43:42 2019 checkpointing every 190000 dimensions
- Fri May 31 02:54:09 2019 lanczos halted after 126478 iterations (dim = 7997974)
- Fri May 31 02:54:22 2019 recovered 32 nontrivial dependencies
- Fri May 31 02:54:22 2019 BLanczosTime: 141731
- Fri May 31 02:54:22 2019
- Fri May 31 02:54:22 2019 commencing square root phase
- Fri May 31 02:54:22 2019 reading relations for dependency 1
- Fri May 31 02:54:23 2019 read 3996769 cycles
- Fri May 31 02:54:29 2019 cycles contain 13320516 unique relations
- Fri May 31 02:55:41 2019 read 13320516 relations
- Fri May 31 02:56:22 2019 multiplying 13320516 relations
- Fri May 31 03:01:31 2019 multiply complete, coefficients have about 335.31 million bits
- Fri May 31 03:01:33 2019 initial square root is modulo 1039139
- Fri May 31 03:07:25 2019 GCD is N, no factor found
- Fri May 31 03:07:25 2019 reading relations for dependency 2
- Fri May 31 03:07:26 2019 read 3999693 cycles
- Fri May 31 03:07:32 2019 cycles contain 13330356 unique relations
- Fri May 31 03:08:44 2019 read 13330356 relations
- Fri May 31 03:09:25 2019 multiplying 13330356 relations
- Fri May 31 03:14:36 2019 multiply complete, coefficients have about 335.55 million bits
- Fri May 31 03:14:37 2019 initial square root is modulo 1049387
- Fri May 31 03:20:43 2019 GCD is N, no factor found
- Fri May 31 03:20:43 2019 reading relations for dependency 3
- Fri May 31 03:20:44 2019 read 3997592 cycles
- Fri May 31 03:20:49 2019 cycles contain 13330034 unique relations
- Fri May 31 03:22:01 2019 read 13330034 relations
- Fri May 31 03:22:43 2019 multiplying 13330034 relations
- Fri May 31 03:27:54 2019 multiply complete, coefficients have about 335.55 million bits
- Fri May 31 03:27:55 2019 initial square root is modulo 1049459
- Fri May 31 03:34:01 2019 sqrtTime: 2379
- Fri May 31 03:34:01 2019 p74 factor: 52105341302210937562203401216786845593841352383291858382917122897845103439
- Fri May 31 03:34:01 2019 p127 factor: 4786858699998216253844967994735560739300549644414722513033356704065736305346636252455408937426237146548894641004935534571367077
- Fri May 31 03:34:01 2019 elapsed time 40:01:51
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