Not a member of Pastebin yet?
Sign Up,
it unlocks many cool features!
- Wed Jun 24 13:23:39 2020
- Wed Jun 24 13:23:39 2020
- Wed Jun 24 13:23:39 2020 Msieve v. 1.53 (SVN unknown)
- Wed Jun 24 13:23:39 2020 random seeds: 8e535b00 4b5bff1c
- Wed Jun 24 13:23:39 2020 factoring 19089497204065993309005292392481738049035030413251804043718113041015139738570183667492055519194645405506370794427360661818056730722480565026125639452867578633643093263095868046051005624288352766079275906581 (206 digits)
- Wed Jun 24 13:23:41 2020 searching for 15-digit factors
- Wed Jun 24 13:23:41 2020 commencing number field sieve (206-digit input)
- Wed Jun 24 13:23:41 2020 R0: -199667811101603467823686647723289448859052847504205678489
- Wed Jun 24 13:23:41 2020 R1: 332306998946228968225951765070086144
- Wed Jun 24 13:23:41 2020 A0: 4
- Wed Jun 24 13:23:41 2020 A1: -12
- Wed Jun 24 13:23:41 2020 A2: 18
- Wed Jun 24 13:23:41 2020 A3: -18
- Wed Jun 24 13:23:41 2020 A4: 9
- Wed Jun 24 13:23:41 2020 skew 0.82, size 3.732e-23, alpha 1.559, combined = 8.847e-14 rroots = 0
- Wed Jun 24 13:23:41 2020
- Wed Jun 24 13:23:41 2020 commencing relation filtering
- Wed Jun 24 13:23:41 2020 setting target matrix density to 140.0
- Wed Jun 24 13:23:41 2020 estimated available RAM is 16335.3 MB
- Wed Jun 24 13:23:41 2020 commencing duplicate removal, pass 1
- Wed Jun 24 13:24:35 2020 error -9 reading relation 3820652
- Wed Jun 24 13:24:42 2020 error -9 reading relation 4376209
- Wed Jun 24 13:25:27 2020 error -1 reading relation 7690373
- Wed Jun 24 13:26:10 2020 error -1 reading relation 10908719
- Wed Jun 24 13:26:10 2020 error -1 reading relation 10908720
- Wed Jun 24 13:26:10 2020 error -1 reading relation 10908721
- Wed Jun 24 13:26:10 2020 error -1 reading relation 10908722
- Wed Jun 24 13:26:10 2020 error -1 reading relation 10908723
- ....
- Wed Jun 24 15:08:20 2020 error -9 reading relation 458131145
- Wed Jun 24 15:08:20 2020 error -9 reading relation 458136195
- Wed Jun 24 15:08:21 2020 error -9 reading relation 458227038
- Wed Jun 24 15:08:23 2020 skipped 3000 relations with b > 2^32
- Wed Jun 24 15:08:23 2020 skipped 656 relations with composite factors
- Wed Jun 24 15:08:23 2020 found 105506158 hash collisions in 458368390 relations
- Wed Jun 24 15:08:38 2020 added 3657369 free relations
- Wed Jun 24 15:08:38 2020 commencing duplicate removal, pass 2
- Wed Jun 24 15:22:07 2020 found 103855651 duplicates and 358170108 unique relations
- Wed Jun 24 15:22:07 2020 memory use: 2387.0 MB
- Wed Jun 24 15:22:07 2020 reading ideals above 259981312
- Wed Jun 24 15:22:07 2020 commencing singleton removal, initial pass
- Wed Jun 24 16:27:16 2020 memory use: 6024.0 MB
- Wed Jun 24 16:27:17 2020 reading all ideals from disk
- Wed Jun 24 16:28:19 2020 memory use: 6410.2 MB
- Wed Jun 24 16:28:34 2020 commencing in-memory singleton removal
- Wed Jun 24 16:28:48 2020 begin with 358170108 relations and 301322229 unique ideals
- Wed Jun 24 16:31:14 2020 reduce to 228997831 relations and 158464204 ideals in 14 passes
- Wed Jun 24 16:31:14 2020 max relations containing the same ideal: 49
- Wed Jun 24 16:31:33 2020 reading ideals above 720000
- Wed Jun 24 16:31:34 2020 commencing singleton removal, initial pass
- Wed Jun 24 17:24:42 2020 memory use: 5512.0 MB
- Wed Jun 24 17:24:42 2020 reading large ideals from disk
- Wed Jun 24 17:28:44 2020 keeping 169222175 ideals with weight <= 20, target excess is 17629603
- Wed Jun 24 17:34:56 2020 memory use: 5269.9 MB
- Wed Jun 24 17:34:56 2020 commencing in-memory singleton removal
- Wed Jun 24 17:35:06 2020 begin with 228997831 relations and 169222175 unique ideals
- Wed Jun 24 17:36:23 2020 reduce to 228992590 relations and 169216922 ideals in 7 passes
- Wed Jun 24 17:36:23 2020 max relations containing the same ideal: 20
- Wed Jun 24 17:37:26 2020 removing 12831908 relations and 10831908 ideals in 2000000 cliques
- Wed Jun 24 17:37:31 2020 commencing in-memory singleton removal
- Wed Jun 24 17:37:40 2020 begin with 216160682 relations and 169216922 unique ideals
- Wed Jun 24 17:39:13 2020 reduce to 215508432 relations and 157724451 ideals in 9 passes
- Wed Jun 24 17:39:13 2020 max relations containing the same ideal: 20
- Wed Jun 24 17:40:11 2020 removing 9604374 relations and 7604374 ideals in 2000000 cliques
- Wed Jun 24 17:40:15 2020 commencing in-memory singleton removal
- Wed Jun 24 17:40:24 2020 begin with 205904058 relations and 157724451 unique ideals
- Wed Jun 24 17:41:32 2020 reduce to 205486919 relations and 149698453 ideals in 7 passes
- Wed Jun 24 17:41:32 2020 max relations containing the same ideal: 20
- Wed Jun 24 17:42:28 2020 removing 8619211 relations and 6619211 ideals in 2000000 cliques
- Wed Jun 24 17:42:32 2020 commencing in-memory singleton removal
- Wed Jun 24 17:42:40 2020 begin with 196867708 relations and 149698453 unique ideals
- Wed Jun 24 17:43:53 2020 reduce to 196510274 relations and 142718048 ideals in 8 passes
- Wed Jun 24 17:43:53 2020 max relations containing the same ideal: 20
- Wed Jun 24 17:44:47 2020 removing 8109140 relations and 6109140 ideals in 2000000 cliques
- Wed Jun 24 17:44:50 2020 commencing in-memory singleton removal
- Wed Jun 24 17:44:58 2020 begin with 188401134 relations and 142718048 unique ideals
- Wed Jun 24 17:45:59 2020 reduce to 188073714 relations and 136277999 ideals in 7 passes
- Wed Jun 24 17:45:59 2020 max relations containing the same ideal: 20
- Wed Jun 24 17:46:50 2020 removing 7748055 relations and 5748055 ideals in 2000000 cliques
- Wed Jun 24 17:46:53 2020 commencing in-memory singleton removal
- Wed Jun 24 17:47:01 2020 begin with 180325659 relations and 136277999 unique ideals
- Wed Jun 24 17:47:58 2020 reduce to 180007150 relations and 130208086 ideals in 7 passes
- Wed Jun 24 17:47:58 2020 max relations containing the same ideal: 20
- Wed Jun 24 17:48:47 2020 removing 7530372 relations and 5530372 ideals in 2000000 cliques
- Wed Jun 24 17:48:50 2020 commencing in-memory singleton removal
- Wed Jun 24 17:48:57 2020 begin with 172476778 relations and 130208086 unique ideals
- Wed Jun 24 17:49:59 2020 reduce to 172170067 relations and 124367575 ideals in 8 passes
- Wed Jun 24 17:49:59 2020 max relations containing the same ideal: 20
- Wed Jun 24 17:50:45 2020 removing 7370975 relations and 5370975 ideals in 2000000 cliques
- Wed Jun 24 17:50:49 2020 commencing in-memory singleton removal
- Wed Jun 24 17:50:55 2020 begin with 164799092 relations and 124367575 unique ideals
- Wed Jun 24 17:51:54 2020 reduce to 164497658 relations and 118691796 ideals in 8 passes
- Wed Jun 24 17:51:54 2020 max relations containing the same ideal: 20
- Wed Jun 24 17:52:38 2020 removing 7228023 relations and 5228023 ideals in 2000000 cliques
- Wed Jun 24 17:52:41 2020 commencing in-memory singleton removal
- Wed Jun 24 17:52:47 2020 begin with 157269635 relations and 118691796 unique ideals
- Wed Jun 24 17:53:36 2020 reduce to 156962724 relations and 113153202 ideals in 7 passes
- Wed Jun 24 17:53:36 2020 max relations containing the same ideal: 20
- Wed Jun 24 17:54:18 2020 removing 7153427 relations and 5153427 ideals in 2000000 cliques
- Wed Jun 24 17:54:21 2020 commencing in-memory singleton removal
- Wed Jun 24 17:54:27 2020 begin with 149809297 relations and 113153202 unique ideals
- Wed Jun 24 17:55:19 2020 reduce to 149503289 relations and 107690001 ideals in 8 passes
- Wed Jun 24 17:55:19 2020 max relations containing the same ideal: 20
- Wed Jun 24 17:55:59 2020 removing 7041048 relations and 5041048 ideals in 2000000 cliques
- Wed Jun 24 17:56:02 2020 commencing in-memory singleton removal
- Wed Jun 24 17:56:08 2020 begin with 142462241 relations and 107690001 unique ideals
- Wed Jun 24 17:56:51 2020 reduce to 142135204 relations and 102317844 ideals in 7 passes
- Wed Jun 24 17:56:51 2020 max relations containing the same ideal: 20
- Wed Jun 24 17:57:29 2020 removing 7056331 relations and 5056331 ideals in 2000000 cliques
- Wed Jun 24 17:57:32 2020 commencing in-memory singleton removal
- Wed Jun 24 17:57:37 2020 begin with 135078873 relations and 102317844 unique ideals
- Wed Jun 24 17:58:23 2020 reduce to 134758646 relations and 96936891 ideals in 8 passes
- Wed Jun 24 17:58:23 2020 max relations containing the same ideal: 20
- Wed Jun 24 17:58:59 2020 removing 6970128 relations and 4970128 ideals in 2000000 cliques
- Wed Jun 24 17:59:01 2020 commencing in-memory singleton removal
- Wed Jun 24 17:59:06 2020 begin with 127788518 relations and 96936891 unique ideals
- Wed Jun 24 17:59:49 2020 reduce to 127450450 relations and 91623897 ideals in 8 passes
- Wed Jun 24 17:59:49 2020 max relations containing the same ideal: 20
- Wed Jun 24 18:00:23 2020 removing 6891306 relations and 4891306 ideals in 2000000 cliques
- Wed Jun 24 18:00:26 2020 commencing in-memory singleton removal
- Wed Jun 24 18:00:30 2020 begin with 120559144 relations and 91623897 unique ideals
- Wed Jun 24 18:01:10 2020 reduce to 120182543 relations and 86350089 ideals in 8 passes
- Wed Jun 24 18:01:10 2020 max relations containing the same ideal: 20
- Wed Jun 24 18:01:42 2020 removing 6957453 relations and 4957453 ideals in 2000000 cliques
- Wed Jun 24 18:01:44 2020 commencing in-memory singleton removal
- Wed Jun 24 18:01:48 2020 begin with 113225090 relations and 86350089 unique ideals
- Wed Jun 24 18:02:25 2020 reduce to 112849738 relations and 81011248 ideals in 8 passes
- Wed Jun 24 18:02:25 2020 max relations containing the same ideal: 20
- Wed Jun 24 18:02:55 2020 removing 6960160 relations and 4960160 ideals in 2000000 cliques
- Wed Jun 24 18:02:57 2020 commencing in-memory singleton removal
- Wed Jun 24 18:03:01 2020 begin with 105889578 relations and 81011248 unique ideals
- Wed Jun 24 18:03:31 2020 reduce to 105485215 relations and 75639907 ideals in 7 passes
- Wed Jun 24 18:03:31 2020 max relations containing the same ideal: 19
- Wed Jun 24 18:03:59 2020 removing 6979563 relations and 4979563 ideals in 2000000 cliques
- Wed Jun 24 18:04:01 2020 commencing in-memory singleton removal
- Wed Jun 24 18:04:04 2020 begin with 98505652 relations and 75639907 unique ideals
- Wed Jun 24 18:04:31 2020 reduce to 98076820 relations and 70223665 ideals in 7 passes
- Wed Jun 24 18:04:31 2020 max relations containing the same ideal: 19
- Wed Jun 24 18:04:57 2020 removing 6933705 relations and 4933705 ideals in 2000000 cliques
- Wed Jun 24 18:05:00 2020 commencing in-memory singleton removal
- Wed Jun 24 18:05:03 2020 begin with 91143115 relations and 70223665 unique ideals
- Wed Jun 24 18:05:34 2020 reduce to 90642758 relations and 64779785 ideals in 9 passes
- Wed Jun 24 18:05:34 2020 max relations containing the same ideal: 18
- Wed Jun 24 18:05:58 2020 removing 7091324 relations and 5091324 ideals in 2000000 cliques
- Wed Jun 24 18:06:00 2020 commencing in-memory singleton removal
- Wed Jun 24 18:06:03 2020 begin with 83551434 relations and 64779785 unique ideals
- Wed Jun 24 18:06:28 2020 reduce to 83030283 relations and 59156389 ideals in 8 passes
- Wed Jun 24 18:06:28 2020 max relations containing the same ideal: 18
- Wed Jun 24 18:06:50 2020 removing 7047941 relations and 5047941 ideals in 2000000 cliques
- Wed Jun 24 18:06:52 2020 commencing in-memory singleton removal
- Wed Jun 24 18:06:54 2020 begin with 75982342 relations and 59156389 unique ideals
- Wed Jun 24 18:07:16 2020 reduce to 75356114 relations and 53467757 ideals in 8 passes
- Wed Jun 24 18:07:16 2020 max relations containing the same ideal: 18
- Wed Jun 24 18:07:36 2020 removing 5371494 relations and 3933477 ideals in 1438017 cliques
- Wed Jun 24 18:07:38 2020 commencing in-memory singleton removal
- Wed Jun 24 18:07:40 2020 begin with 69984620 relations and 53467757 unique ideals
- Wed Jun 24 18:08:02 2020 reduce to 69572142 relations and 49113471 ideals in 9 passes
- Wed Jun 24 18:08:02 2020 max relations containing the same ideal: 17
- Wed Jun 24 18:08:20 2020 removing 45648 relations and 37317 ideals in 8331 cliques
- Wed Jun 24 18:08:21 2020 commencing in-memory singleton removal
- Wed Jun 24 18:08:23 2020 begin with 69526494 relations and 49113471 unique ideals
- Wed Jun 24 18:08:32 2020 reduce to 69526440 relations and 49076100 ideals in 4 passes
- Wed Jun 24 18:08:32 2020 max relations containing the same ideal: 17
- Wed Jun 24 18:08:36 2020 relations with 0 large ideals: 4565725
- Wed Jun 24 18:08:36 2020 relations with 1 large ideals: 16410530
- Wed Jun 24 18:08:36 2020 relations with 2 large ideals: 25023893
- Wed Jun 24 18:08:36 2020 relations with 3 large ideals: 16829659
- Wed Jun 24 18:08:36 2020 relations with 4 large ideals: 5974057
- Wed Jun 24 18:08:36 2020 relations with 5 large ideals: 689935
- Wed Jun 24 18:08:36 2020 relations with 6 large ideals: 32039
- Wed Jun 24 18:08:36 2020 relations with 7+ large ideals: 602
- Wed Jun 24 18:08:36 2020 commencing 2-way merge
- Wed Jun 24 18:09:01 2020 reduce to 42136139 relation sets and 21685799 unique ideals
- Wed Jun 24 18:09:01 2020 commencing full merge
- Wed Jun 24 18:12:25 2020 memory use: 1963.0 MB
- Wed Jun 24 18:12:29 2020 found 20577330 cycles, need 18441303
- Wed Jun 24 18:12:31 2020 weight of 18441303 cycles is about 1691890832 (91.74/cycle)
- Wed Jun 24 18:12:31 2020 distribution of cycle lengths:
- Wed Jun 24 18:12:31 2020 1 relations: 4569799
- Wed Jun 24 18:12:31 2020 2 relations: 1613892
- Wed Jun 24 18:12:31 2020 3 relations: 1168683
- Wed Jun 24 18:12:31 2020 4 relations: 1003149
- Wed Jun 24 18:12:31 2020 5 relations: 943293
- Wed Jun 24 18:12:31 2020 6 relations: 899709
- Wed Jun 24 18:12:31 2020 7 relations: 874604
- Wed Jun 24 18:12:31 2020 8 relations: 846268
- Wed Jun 24 18:12:31 2020 9 relations: 813563
- Wed Jun 24 18:12:31 2020 10+ relations: 5708343
- Wed Jun 24 18:12:31 2020 heaviest cycle: 24 relations
- Wed Jun 24 18:12:32 2020 commencing cycle optimization
- Wed Jun 24 18:12:58 2020 start with 124582418 relations
- Wed Jun 24 18:17:17 2020 pruned 9304253 relations
- Wed Jun 24 18:17:17 2020 memory use: 3501.3 MB
- Wed Jun 24 18:17:17 2020 distribution of cycle lengths:
- Wed Jun 24 18:17:17 2020 1 relations: 4569799
- Wed Jun 24 18:17:17 2020 2 relations: 1673729
- Wed Jun 24 18:17:17 2020 3 relations: 1239353
- Wed Jun 24 18:17:17 2020 4 relations: 1078656
- Wed Jun 24 18:17:17 2020 5 relations: 1033299
- Wed Jun 24 18:17:17 2020 6 relations: 998869
- Wed Jun 24 18:17:17 2020 7 relations: 980931
- Wed Jun 24 18:17:17 2020 8 relations: 949045
- Wed Jun 24 18:17:17 2020 9 relations: 914119
- Wed Jun 24 18:17:17 2020 10+ relations: 5003503
- Wed Jun 24 18:17:17 2020 heaviest cycle: 23 relations
- Wed Jun 24 18:17:52 2020 RelProcTime: 17651
- Wed Jun 24 18:17:52 2020
- Wed Jun 24 18:17:52 2020 commencing linear algebra
- Wed Jun 24 18:17:55 2020 read 18441303 cycles
- Wed Jun 24 18:18:28 2020 cycles contain 57447021 unique relations
- Wed Jun 24 18:38:09 2020 read 57447021 relations
- Wed Jun 24 18:40:08 2020 using 20 quadratic characters above 4294917295
- Wed Jun 24 18:43:58 2020 building initial matrix
- Wed Jun 24 18:53:02 2020 memory use: 7112.0 MB
- Wed Jun 24 18:53:35 2020 read 18441303 cycles
- Wed Jun 24 18:53:40 2020 matrix is 18439719 x 18441303 (6539.5 MB) with weight 1868651552 (101.33/col)
- Wed Jun 24 18:53:40 2020 sparse part has weight 1511424046 (81.96/col)
- Wed Jun 24 18:59:12 2020 filtering completed in 3 passes
- Wed Jun 24 18:59:17 2020 matrix is 18404303 x 18404503 (6531.7 MB) with weight 1866330524 (101.41/col)
- Wed Jun 24 18:59:17 2020 sparse part has weight 1509800619 (82.03/col)
- Wed Jun 24 19:01:03 2020 matrix starts at (0, 0)
- Wed Jun 24 19:01:08 2020 matrix is 18404303 x 18404503 (6531.7 MB) with weight 1866330524 (101.41/col)
- Wed Jun 24 19:01:08 2020 sparse part has weight 1509800619 (82.03/col)
- Wed Jun 24 19:01:08 2020 saving the first 48 matrix rows for later
- Wed Jun 24 19:01:13 2020 matrix includes 64 packed rows
- Wed Jun 24 19:01:15 2020 matrix is 18404255 x 18404503 (6231.3 MB) with weight 1551440233 (84.30/col)
- Wed Jun 24 19:01:15 2020 sparse part has weight 1449447354 (78.76/col)
- Wed Jun 24 19:01:15 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
- Wed Jun 24 19:03:03 2020 commencing Lanczos iteration (8 threads)
- Wed Jun 24 19:03:03 2020 memory use: 5297.9 MB
- Wed Jun 24 19:04:40 2020 linear algebra at 0.0%, ETA 312h33m
- Wed Jun 24 19:05:12 2020 checkpointing every 60000 dimensions
- Tue Jul 7 03:07:23 2020 lanczos halted after 291050 iterations (dim = 18404250)
- Tue Jul 7 03:08:17 2020 recovered 34 nontrivial dependencies
- Tue Jul 7 03:08:36 2020 BLanczosTime: 1068644
- Tue Jul 7 03:08:36 2020
- Tue Jul 7 03:08:36 2020 commencing square root phase
- Tue Jul 7 03:08:36 2020 handling dependencies 1 to 64
- Tue Jul 7 03:08:36 2020 reading relations for dependency 1
- Tue Jul 7 03:08:41 2020 read 9200620 cycles
- Tue Jul 7 03:08:57 2020 cycles contain 28699892 unique relations
- Tue Jul 7 03:20:11 2020 read 28699892 relations
- Tue Jul 7 03:22:32 2020 multiplying 28699892 relations
- Tue Jul 7 03:33:57 2020 multiply complete, coefficients have about 828.67 million bits
- Tue Jul 7 03:34:01 2020 warning: no irreducible prime found, switching to small primes
- Tue Jul 7 03:34:02 2020 initial square root is modulo 53
- Tue Jul 7 04:04:19 2020 sqrtTime: 3343
- Tue Jul 7 04:04:19 2020 p83 factor: 48540317716429836775702938668864881280828332435361561179963893824107234882969727533
- Tue Jul 7 04:04:19 2020 p123 factor: 393270957054420261365052568309540207054078966339663960162396248650137506180829482207643370319921040878499345434912681528457
- Tue Jul 7 04:04:19 2020 elapsed time 302:40:40
Add Comment
Please, Sign In to add comment