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- Mon Nov 4 23:13:10 2019
- Mon Nov 4 23:13:10 2019 Msieve v. 1.54 (SVN 1025)
- Mon Nov 4 23:13:10 2019 random seeds: 31064a63 0955eee7
- Mon Nov 4 23:13:10 2019 factoring 646434259519934337629376955825068335201416439904460972936245641710811874078979913356249559336044175917626455258619940208019633488765950127509261769399725565355426502001 (168 digits)
- Mon Nov 4 23:13:11 2019 searching for 15-digit factors
- Mon Nov 4 23:13:11 2019 commencing number field sieve (168-digit input)
- Mon Nov 4 23:13:11 2019 R0: -900451509212457340584752295799146
- Mon Nov 4 23:13:11 2019 R1: 92147673483982247
- Mon Nov 4 23:13:11 2019 A0: 66178765581065676516656139601238218697575405
- Mon Nov 4 23:13:11 2019 A1: 1950140705736314889055821760080336147
- Mon Nov 4 23:13:11 2019 A2: -43944148477219392072153957812
- Mon Nov 4 23:13:11 2019 A3: -983557426431562122849
- Mon Nov 4 23:13:11 2019 A4: 1843461605917
- Mon Nov 4 23:13:11 2019 A5: 1092
- Mon Nov 4 23:13:11 2019 skew 169638124.37, size 1.899e-16, alpha -8.252, combined = 4.064e-13 rroots = 5
- Mon Nov 4 23:13:11 2019
- Mon Nov 4 23:13:11 2019 commencing relation filtering
- Mon Nov 4 23:13:11 2019 setting target matrix density to 136.0
- Mon Nov 4 23:13:11 2019 estimated available RAM is 16007.4 MB
- Mon Nov 4 23:13:11 2019 commencing duplicate removal, pass 1
- Mon Nov 4 23:26:37 2019 error -15 reading relation 105621593
- Mon Nov 4 23:33:16 2019 error -1 reading relation 158275256
- Mon Nov 4 23:35:34 2019 error -15 reading relation 176345553
- Mon Nov 4 23:37:02 2019 error -15 reading relation 187899509
- Mon Nov 4 23:39:16 2019 skipped 1 relations with composite factors
- Mon Nov 4 23:39:16 2019 found 9224136 hash collisions in 205380907 relations
- Mon Nov 4 23:39:43 2019 commencing duplicate removal, pass 2
- Mon Nov 4 23:40:40 2019 found 35 duplicates and 205380872 unique relations
- Mon Nov 4 23:40:40 2019 memory use: 522.4 MB
- Mon Nov 4 23:40:40 2019 reading ideals above 169934848
- Mon Nov 4 23:40:40 2019 commencing singleton removal, initial pass
- Tue Nov 5 00:00:07 2019 memory use: 3012.0 MB
- Tue Nov 5 00:00:07 2019 reading all ideals from disk
- Tue Nov 5 00:00:15 2019 memory use: 3366.4 MB
- Tue Nov 5 00:00:21 2019 commencing in-memory singleton removal
- Tue Nov 5 00:00:27 2019 begin with 205380872 relations and 158322224 unique ideals
- Tue Nov 5 00:01:38 2019 reduce to 142096591 relations and 89258015 ideals in 12 passes
- Tue Nov 5 00:01:38 2019 max relations containing the same ideal: 40
- Tue Nov 5 00:01:44 2019 reading ideals above 720000
- Tue Nov 5 00:01:45 2019 commencing singleton removal, initial pass
- Tue Nov 5 00:18:47 2019 memory use: 3012.0 MB
- Tue Nov 5 00:18:47 2019 reading all ideals from disk
- Tue Nov 5 00:19:02 2019 memory use: 5505.1 MB
- Tue Nov 5 00:19:16 2019 keeping 107524103 ideals with weight <= 200, target excess is 732325
- Tue Nov 5 00:19:32 2019 commencing in-memory singleton removal
- Tue Nov 5 00:19:43 2019 begin with 142096591 relations and 107524103 unique ideals
- Tue Nov 5 00:21:18 2019 reduce to 142070141 relations and 107497653 ideals in 8 passes
- Tue Nov 5 00:21:18 2019 max relations containing the same ideal: 200
- Tue Nov 5 00:22:12 2019 removing 9899425 relations and 7899425 ideals in 2000000 cliques
- Tue Nov 5 00:22:16 2019 commencing in-memory singleton removal
- Tue Nov 5 00:22:26 2019 begin with 132170716 relations and 107497653 unique ideals
- Tue Nov 5 00:23:42 2019 reduce to 131663589 relations and 99082119 ideals in 7 passes
- Tue Nov 5 00:23:42 2019 max relations containing the same ideal: 197
- Tue Nov 5 00:24:32 2019 removing 7564688 relations and 5564688 ideals in 2000000 cliques
- Tue Nov 5 00:24:35 2019 commencing in-memory singleton removal
- Tue Nov 5 00:24:43 2019 begin with 124098901 relations and 99082119 unique ideals
- Tue Nov 5 00:25:48 2019 reduce to 123757171 relations and 93170479 ideals in 7 passes
- Tue Nov 5 00:25:48 2019 max relations containing the same ideal: 193
- Tue Nov 5 00:26:31 2019 removing 6884596 relations and 4884596 ideals in 2000000 cliques
- Tue Nov 5 00:26:34 2019 commencing in-memory singleton removal
- Tue Nov 5 00:26:41 2019 begin with 116872575 relations and 93170479 unique ideals
- Tue Nov 5 00:27:42 2019 reduce to 116575616 relations and 87984400 ideals in 7 passes
- Tue Nov 5 00:27:42 2019 max relations containing the same ideal: 186
- Tue Nov 5 00:28:22 2019 removing 6534933 relations and 4534933 ideals in 2000000 cliques
- Tue Nov 5 00:28:25 2019 commencing in-memory singleton removal
- Tue Nov 5 00:28:32 2019 begin with 110040683 relations and 87984400 unique ideals
- Tue Nov 5 00:29:21 2019 reduce to 109765155 relations and 83169459 ideals in 6 passes
- Tue Nov 5 00:29:21 2019 max relations containing the same ideal: 179
- Tue Nov 5 00:29:59 2019 removing 6316019 relations and 4316019 ideals in 2000000 cliques
- Tue Nov 5 00:30:01 2019 commencing in-memory singleton removal
- Tue Nov 5 00:30:08 2019 begin with 103449136 relations and 83169459 unique ideals
- Tue Nov 5 00:30:54 2019 reduce to 103184969 relations and 78584887 ideals in 6 passes
- Tue Nov 5 00:30:54 2019 max relations containing the same ideal: 173
- Tue Nov 5 00:31:30 2019 removing 6159136 relations and 4159136 ideals in 2000000 cliques
- Tue Nov 5 00:31:33 2019 commencing in-memory singleton removal
- Tue Nov 5 00:31:39 2019 begin with 97025833 relations and 78584887 unique ideals
- Tue Nov 5 00:32:29 2019 reduce to 96767641 relations and 74162970 ideals in 7 passes
- Tue Nov 5 00:32:29 2019 max relations containing the same ideal: 165
- Tue Nov 5 00:33:04 2019 removing 6051084 relations and 4051084 ideals in 2000000 cliques
- Tue Nov 5 00:33:06 2019 commencing in-memory singleton removal
- Tue Nov 5 00:33:12 2019 begin with 90716557 relations and 74162970 unique ideals
- Tue Nov 5 00:33:52 2019 reduce to 90457299 relations and 69847801 ideals in 6 passes
- Tue Nov 5 00:33:52 2019 max relations containing the same ideal: 159
- Tue Nov 5 00:34:23 2019 removing 5963955 relations and 3963955 ideals in 2000000 cliques
- Tue Nov 5 00:34:25 2019 commencing in-memory singleton removal
- Tue Nov 5 00:34:30 2019 begin with 84493344 relations and 69847801 unique ideals
- Tue Nov 5 00:35:06 2019 reduce to 84230815 relations and 65616112 ideals in 6 passes
- Tue Nov 5 00:35:06 2019 max relations containing the same ideal: 152
- Tue Nov 5 00:35:36 2019 removing 5905627 relations and 3905627 ideals in 2000000 cliques
- Tue Nov 5 00:35:38 2019 commencing in-memory singleton removal
- Tue Nov 5 00:35:43 2019 begin with 78325188 relations and 65616112 unique ideals
- Tue Nov 5 00:36:16 2019 reduce to 78056172 relations and 61435875 ideals in 6 passes
- Tue Nov 5 00:36:16 2019 max relations containing the same ideal: 144
- Tue Nov 5 00:36:44 2019 removing 5859874 relations and 3859874 ideals in 2000000 cliques
- Tue Nov 5 00:36:47 2019 commencing in-memory singleton removal
- Tue Nov 5 00:36:51 2019 begin with 72196298 relations and 61435875 unique ideals
- Tue Nov 5 00:37:22 2019 reduce to 71916775 relations and 57290104 ideals in 6 passes
- Tue Nov 5 00:37:22 2019 max relations containing the same ideal: 141
- Tue Nov 5 00:37:47 2019 removing 5826873 relations and 3826873 ideals in 2000000 cliques
- Tue Nov 5 00:37:49 2019 commencing in-memory singleton removal
- Tue Nov 5 00:37:53 2019 begin with 66089902 relations and 57290104 unique ideals
- Tue Nov 5 00:38:21 2019 reduce to 65796142 relations and 53162301 ideals in 6 passes
- Tue Nov 5 00:38:21 2019 max relations containing the same ideal: 131
- Tue Nov 5 00:38:45 2019 removing 5803802 relations and 3803802 ideals in 2000000 cliques
- Tue Nov 5 00:38:47 2019 commencing in-memory singleton removal
- Tue Nov 5 00:38:51 2019 begin with 59992340 relations and 53162301 unique ideals
- Tue Nov 5 00:39:16 2019 reduce to 59680226 relations and 49038349 ideals in 6 passes
- Tue Nov 5 00:39:16 2019 max relations containing the same ideal: 124
- Tue Nov 5 00:39:37 2019 removing 5792651 relations and 3792651 ideals in 2000000 cliques
- Tue Nov 5 00:39:39 2019 commencing in-memory singleton removal
- Tue Nov 5 00:39:42 2019 begin with 53887575 relations and 49038349 unique ideals
- Tue Nov 5 00:40:04 2019 reduce to 53548246 relations and 44896739 ideals in 6 passes
- Tue Nov 5 00:40:04 2019 max relations containing the same ideal: 114
- Tue Nov 5 00:40:23 2019 removing 5792835 relations and 3792835 ideals in 2000000 cliques
- Tue Nov 5 00:40:25 2019 commencing in-memory singleton removal
- Tue Nov 5 00:40:28 2019 begin with 47755411 relations and 44896739 unique ideals
- Tue Nov 5 00:40:50 2019 reduce to 47381702 relations and 40718292 ideals in 7 passes
- Tue Nov 5 00:40:50 2019 max relations containing the same ideal: 103
- Tue Nov 5 00:41:07 2019 removing 5804478 relations and 3804478 ideals in 2000000 cliques
- Tue Nov 5 00:41:09 2019 commencing in-memory singleton removal
- Tue Nov 5 00:41:11 2019 begin with 41577224 relations and 40718292 unique ideals
- Tue Nov 5 00:41:31 2019 reduce to 41154114 relations and 36475707 ideals in 7 passes
- Tue Nov 5 00:41:31 2019 max relations containing the same ideal: 94
- Tue Nov 5 00:41:46 2019 removing 5836966 relations and 3836966 ideals in 2000000 cliques
- Tue Nov 5 00:41:47 2019 commencing in-memory singleton removal
- Tue Nov 5 00:41:49 2019 begin with 35317148 relations and 36475707 unique ideals
- Tue Nov 5 00:42:06 2019 reduce to 34813784 relations and 32114899 ideals in 7 passes
- Tue Nov 5 00:42:06 2019 max relations containing the same ideal: 85
- Tue Nov 5 00:42:19 2019 removing 5530766 relations and 3681378 ideals in 1849388 cliques
- Tue Nov 5 00:42:20 2019 commencing in-memory singleton removal
- Tue Nov 5 00:42:22 2019 begin with 29283018 relations and 32114899 unique ideals
- Tue Nov 5 00:42:36 2019 reduce to 28710957 relations and 27835692 ideals in 8 passes
- Tue Nov 5 00:42:36 2019 max relations containing the same ideal: 75
- Tue Nov 5 00:42:46 2019 removing 159128 relations and 133360 ideals in 25768 cliques
- Tue Nov 5 00:42:47 2019 commencing in-memory singleton removal
- Tue Nov 5 00:42:49 2019 begin with 28551829 relations and 27835692 unique ideals
- Tue Nov 5 00:42:57 2019 reduce to 28551228 relations and 27701731 ideals in 5 passes
- Tue Nov 5 00:42:57 2019 max relations containing the same ideal: 75
- Tue Nov 5 00:43:02 2019 relations with 0 large ideals: 2400
- Tue Nov 5 00:43:02 2019 relations with 1 large ideals: 16118
- Tue Nov 5 00:43:02 2019 relations with 2 large ideals: 223729
- Tue Nov 5 00:43:02 2019 relations with 3 large ideals: 1288842
- Tue Nov 5 00:43:02 2019 relations with 4 large ideals: 3908483
- Tue Nov 5 00:43:02 2019 relations with 5 large ideals: 6963188
- Tue Nov 5 00:43:02 2019 relations with 6 large ideals: 7742114
- Tue Nov 5 00:43:02 2019 relations with 7+ large ideals: 8406354
- Tue Nov 5 00:43:02 2019 commencing 2-way merge
- Tue Nov 5 00:43:15 2019 reduce to 19145051 relation sets and 18295554 unique ideals
- Tue Nov 5 00:43:15 2019 commencing full merge
- Tue Nov 5 00:48:51 2019 memory use: 2246.4 MB
- Tue Nov 5 00:48:53 2019 found 8239236 cycles, need 8223754
- Tue Nov 5 00:48:55 2019 weight of 8223754 cycles is about 1119342126 (136.11/cycle)
- Tue Nov 5 00:48:55 2019 distribution of cycle lengths:
- Tue Nov 5 00:48:55 2019 1 relations: 180020
- Tue Nov 5 00:48:55 2019 2 relations: 374016
- Tue Nov 5 00:48:55 2019 3 relations: 483385
- Tue Nov 5 00:48:55 2019 4 relations: 532915
- Tue Nov 5 00:48:55 2019 5 relations: 577618
- Tue Nov 5 00:48:55 2019 6 relations: 591626
- Tue Nov 5 00:48:55 2019 7 relations: 599450
- Tue Nov 5 00:48:55 2019 8 relations: 587657
- Tue Nov 5 00:48:55 2019 9 relations: 560013
- Tue Nov 5 00:48:55 2019 10+ relations: 3737054
- Tue Nov 5 00:48:55 2019 heaviest cycle: 28 relations
- Tue Nov 5 00:48:57 2019 commencing cycle optimization
- Tue Nov 5 00:49:12 2019 start with 79996256 relations
- Tue Nov 5 00:51:58 2019 pruned 4418503 relations
- Tue Nov 5 00:51:58 2019 memory use: 2004.6 MB
- Tue Nov 5 00:51:58 2019 distribution of cycle lengths:
- Tue Nov 5 00:51:58 2019 1 relations: 180020
- Tue Nov 5 00:51:58 2019 2 relations: 385748
- Tue Nov 5 00:51:58 2019 3 relations: 506849
- Tue Nov 5 00:51:58 2019 4 relations: 560356
- Tue Nov 5 00:51:58 2019 5 relations: 613251
- Tue Nov 5 00:51:58 2019 6 relations: 629409
- Tue Nov 5 00:51:58 2019 7 relations: 640534
- Tue Nov 5 00:51:58 2019 8 relations: 625207
- Tue Nov 5 00:51:58 2019 9 relations: 594543
- Tue Nov 5 00:51:58 2019 10+ relations: 3487837
- Tue Nov 5 00:51:58 2019 heaviest cycle: 28 relations
- Tue Nov 5 00:52:09 2019 RelProcTime: 5938
- Tue Nov 5 00:52:09 2019
- Tue Nov 5 00:52:09 2019 commencing linear algebra
- Tue Nov 5 00:52:13 2019 read 8223754 cycles
- Tue Nov 5 00:52:30 2019 cycles contain 28136647 unique relations
- Tue Nov 5 00:55:11 2019 read 28136647 relations
- Tue Nov 5 00:55:53 2019 using 20 quadratic characters above 4294917295
- Tue Nov 5 00:57:44 2019 building initial matrix
- Tue Nov 5 01:03:29 2019 memory use: 3926.6 MB
- Tue Nov 5 01:03:33 2019 read 8223754 cycles
- Tue Nov 5 01:03:34 2019 matrix is 8223575 x 8223754 (4286.7 MB) with weight 1314027024 (159.78/col)
- Tue Nov 5 01:03:34 2019 sparse part has weight 1025055159 (124.65/col)
- Tue Nov 5 01:05:17 2019 filtering completed in 2 passes
- Tue Nov 5 01:05:19 2019 matrix is 8223515 x 8223694 (4286.7 MB) with weight 1314024370 (159.79/col)
- Tue Nov 5 01:05:19 2019 sparse part has weight 1025054625 (124.65/col)
- Tue Nov 5 01:05:47 2019 matrix starts at (0, 0)
- Tue Nov 5 01:05:48 2019 matrix is 8223515 x 8223694 (4286.7 MB) with weight 1314024370 (159.79/col)
- Tue Nov 5 01:05:48 2019 sparse part has weight 1025054625 (124.65/col)
- Tue Nov 5 01:05:48 2019 saving the first 48 matrix rows for later
- Tue Nov 5 01:05:49 2019 matrix includes 64 packed rows
- Tue Nov 5 01:05:51 2019 matrix is 8223467 x 8223694 (4188.5 MB) with weight 1138527807 (138.44/col)
- Tue Nov 5 01:05:51 2019 sparse part has weight 1015742577 (123.51/col)
- Tue Nov 5 01:05:51 2019 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
- Tue Nov 5 01:06:20 2019 commencing Lanczos iteration (4 threads)
- Tue Nov 5 01:06:20 2019 memory use: 3880.8 MB
- Tue Nov 5 01:07:34 2019 linear algebra at 0.0%, ETA 106h53m
- Tue Nov 5 01:07:58 2019 checkpointing every 80000 dimensions
- Thu Nov 7 01:40:00 2019 lanczos halted after 130052 iterations (dim = 8223465)
- Thu Nov 7 01:40:15 2019 recovered 28 nontrivial dependencies
- Thu Nov 7 01:40:15 2019 BLanczosTime: 175686
- Thu Nov 7 01:40:15 2019
- Thu Nov 7 01:40:15 2019 commencing square root phase
- Thu Nov 7 01:40:15 2019 handling dependencies 1 to 64
- Thu Nov 7 01:40:15 2019 reading relations for dependency 1
- Thu Nov 7 01:40:16 2019 read 4112643 cycles
- Thu Nov 7 01:40:23 2019 cycles contain 14070486 unique relations
- Thu Nov 7 01:41:51 2019 read 14070486 relations
- Thu Nov 7 01:42:40 2019 multiplying 14070486 relations
- Thu Nov 7 01:55:11 2019 multiply complete, coefficients have about 726.47 million bits
- Thu Nov 7 01:55:15 2019 initial square root is modulo 3292589
- Thu Nov 7 02:09:50 2019 sqrtTime: 1775
- Thu Nov 7 02:09:50 2019 p63 factor: 165952240558687686017704893971249267264234726886437182029579901
- Thu Nov 7 02:09:50 2019 p106 factor: 3895302994064295375210109311767243614834642421399481397035028171643694740894953493756387739182215092132101
- Thu Nov 7 02:09:50 2019 elapsed time 50:56:40
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