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- Sat Dec 26 08:12:56 2020
- Sat Dec 26 08:12:56 2020
- Sat Dec 26 08:12:56 2020 Msieve v. 1.54 (SVN 1025)
- Sat Dec 26 08:12:56 2020 random seeds: 59555220 e704e48e
- Sat Dec 26 08:12:56 2020 factoring 22424680323776980435506800720166616826570860267706138938274686677684725607079756640574622731256847457766711711536097379018212770422185765364171532389735025778532515184190886540124735414999732033198931701658863 (209 digits)
- Sat Dec 26 08:12:57 2020 searching for 15-digit factors
- Sat Dec 26 08:12:57 2020 commencing number field sieve (209-digit input)
- Sat Dec 26 08:12:57 2020 R0: 12711678352369641693089526371212358762
- Sat Dec 26 08:12:57 2020 R1: -3565344072087523181
- Sat Dec 26 08:12:57 2020 A0: -1
- Sat Dec 26 08:12:57 2020 A1: 3
- Sat Dec 26 08:12:57 2020 A2: 6
- Sat Dec 26 08:12:57 2020 A3: -4
- Sat Dec 26 08:12:57 2020 A4: -5
- Sat Dec 26 08:12:57 2020 A5: 1
- Sat Dec 26 08:12:57 2020 A6: 1
- Sat Dec 26 08:12:57 2020 skew 1.00, size 5.644e-11, alpha 3.126, combined = 2.185e-12 rroots = 6
- Sat Dec 26 08:12:57 2020
- Sat Dec 26 08:12:57 2020 commencing relation filtering
- Sat Dec 26 08:12:57 2020 setting target matrix density to 120.0
- Sat Dec 26 08:12:57 2020 estimated available RAM is 15984.6 MB
- Sat Dec 26 08:12:57 2020 commencing duplicate removal, pass 1
- Sat Dec 26 08:25:47 2020 skipped 16 relations with b > 2^32
- Sat Dec 26 08:25:47 2020 found 5641616 hash collisions in 113939870 relations
- Sat Dec 26 08:25:54 2020 added 2438358 free relations
- Sat Dec 26 08:25:54 2020 commencing duplicate removal, pass 2
- Sat Dec 26 08:26:24 2020 found 0 duplicates and 116378228 unique relations
- Sat Dec 26 08:26:24 2020 memory use: 378.4 MB
- Sat Dec 26 08:26:24 2020 reading ideals above 67960832
- Sat Dec 26 08:26:24 2020 commencing singleton removal, initial pass
- Sat Dec 26 08:36:40 2020 memory use: 2756.0 MB
- Sat Dec 26 08:36:40 2020 reading all ideals from disk
- Sat Dec 26 08:36:44 2020 memory use: 2007.3 MB
- Sat Dec 26 08:36:47 2020 commencing in-memory singleton removal
- Sat Dec 26 08:36:51 2020 begin with 116378228 relations and 85909943 unique ideals
- Sat Dec 26 08:37:28 2020 reduce to 86460647 relations and 53614146 ideals in 11 passes
- Sat Dec 26 08:37:28 2020 max relations containing the same ideal: 56
- Sat Dec 26 08:37:33 2020 reading ideals above 720000
- Sat Dec 26 08:37:33 2020 commencing singleton removal, initial pass
- Sat Dec 26 08:47:15 2020 memory use: 1506.0 MB
- Sat Dec 26 08:47:15 2020 reading all ideals from disk
- Sat Dec 26 08:47:21 2020 memory use: 3205.2 MB
- Sat Dec 26 08:47:29 2020 keeping 61186435 ideals with weight <= 200, target excess is 437629
- Sat Dec 26 08:47:36 2020 commencing in-memory singleton removal
- Sat Dec 26 08:47:42 2020 begin with 86460647 relations and 61186435 unique ideals
- Sat Dec 26 08:47:54 2020 reduce to 86460646 relations and 61186434 ideals in 2 passes
- Sat Dec 26 08:47:54 2020 max relations containing the same ideal: 200
- Sat Dec 26 08:48:22 2020 removing 7455840 relations and 5455840 ideals in 2000000 cliques
- Sat Dec 26 08:48:24 2020 commencing in-memory singleton removal
- Sat Dec 26 08:48:30 2020 begin with 79004806 relations and 61186434 unique ideals
- Sat Dec 26 08:49:14 2020 reduce to 78467293 relations and 55177685 ideals in 8 passes
- Sat Dec 26 08:49:14 2020 max relations containing the same ideal: 196
- Sat Dec 26 08:49:39 2020 removing 6084577 relations and 4084577 ideals in 2000000 cliques
- Sat Dec 26 08:49:41 2020 commencing in-memory singleton removal
- Sat Dec 26 08:49:46 2020 begin with 72382716 relations and 55177685 unique ideals
- Sat Dec 26 08:50:16 2020 reduce to 72015193 relations and 50715895 ideals in 6 passes
- Sat Dec 26 08:50:16 2020 max relations containing the same ideal: 189
- Sat Dec 26 08:50:39 2020 removing 5679238 relations and 3679238 ideals in 2000000 cliques
- Sat Dec 26 08:50:41 2020 commencing in-memory singleton removal
- Sat Dec 26 08:50:46 2020 begin with 66335955 relations and 50715895 unique ideals
- Sat Dec 26 08:51:13 2020 reduce to 66014919 relations and 46707067 ideals in 6 passes
- Sat Dec 26 08:51:13 2020 max relations containing the same ideal: 181
- Sat Dec 26 08:51:34 2020 removing 5464325 relations and 3464325 ideals in 2000000 cliques
- Sat Dec 26 08:51:36 2020 commencing in-memory singleton removal
- Sat Dec 26 08:51:40 2020 begin with 60550594 relations and 46707067 unique ideals
- Sat Dec 26 08:52:05 2020 reduce to 60249654 relations and 42933447 ideals in 6 passes
- Sat Dec 26 08:52:05 2020 max relations containing the same ideal: 171
- Sat Dec 26 08:52:25 2020 removing 5330686 relations and 3330686 ideals in 2000000 cliques
- Sat Dec 26 08:52:27 2020 commencing in-memory singleton removal
- Sat Dec 26 08:52:31 2020 begin with 54918968 relations and 42933447 unique ideals
- Sat Dec 26 08:52:53 2020 reduce to 54623988 relations and 39299047 ideals in 6 passes
- Sat Dec 26 08:52:53 2020 max relations containing the same ideal: 157
- Sat Dec 26 08:53:12 2020 removing 5237503 relations and 3237503 ideals in 2000000 cliques
- Sat Dec 26 08:53:13 2020 commencing in-memory singleton removal
- Sat Dec 26 08:53:16 2020 begin with 49386485 relations and 39299047 unique ideals
- Sat Dec 26 08:53:37 2020 reduce to 49087580 relations and 35752831 ideals in 6 passes
- Sat Dec 26 08:53:37 2020 max relations containing the same ideal: 148
- Sat Dec 26 08:53:53 2020 removing 5172673 relations and 3172673 ideals in 2000000 cliques
- Sat Dec 26 08:53:55 2020 commencing in-memory singleton removal
- Sat Dec 26 08:53:58 2020 begin with 43914907 relations and 35752831 unique ideals
- Sat Dec 26 08:54:16 2020 reduce to 43604651 relations and 32259187 ideals in 6 passes
- Sat Dec 26 08:54:16 2020 max relations containing the same ideal: 138
- Sat Dec 26 08:54:30 2020 removing 5123427 relations and 3123427 ideals in 2000000 cliques
- Sat Dec 26 08:54:31 2020 commencing in-memory singleton removal
- Sat Dec 26 08:54:34 2020 begin with 38481224 relations and 32259187 unique ideals
- Sat Dec 26 08:54:49 2020 reduce to 38148890 relations and 28790500 ideals in 6 passes
- Sat Dec 26 08:54:49 2020 max relations containing the same ideal: 126
- Sat Dec 26 08:55:02 2020 removing 5089907 relations and 3089907 ideals in 2000000 cliques
- Sat Dec 26 08:55:04 2020 commencing in-memory singleton removal
- Sat Dec 26 08:55:06 2020 begin with 33058983 relations and 28790500 unique ideals
- Sat Dec 26 08:55:18 2020 reduce to 32697255 relations and 25322969 ideals in 6 passes
- Sat Dec 26 08:55:18 2020 max relations containing the same ideal: 112
- Sat Dec 26 08:55:29 2020 removing 5064097 relations and 3064097 ideals in 2000000 cliques
- Sat Dec 26 08:55:30 2020 commencing in-memory singleton removal
- Sat Dec 26 08:55:32 2020 begin with 27633158 relations and 25322969 unique ideals
- Sat Dec 26 08:55:42 2020 reduce to 27228218 relations and 21833820 ideals in 6 passes
- Sat Dec 26 08:55:42 2020 max relations containing the same ideal: 96
- Sat Dec 26 08:55:52 2020 removing 5042391 relations and 3042391 ideals in 2000000 cliques
- Sat Dec 26 08:55:53 2020 commencing in-memory singleton removal
- Sat Dec 26 08:55:54 2020 begin with 22185827 relations and 21833820 unique ideals
- Sat Dec 26 08:56:02 2020 reduce to 21723634 relations and 18302079 ideals in 6 passes
- Sat Dec 26 08:56:02 2020 max relations containing the same ideal: 82
- Sat Dec 26 08:56:10 2020 removing 5009293 relations and 3009293 ideals in 2000000 cliques
- Sat Dec 26 08:56:11 2020 commencing in-memory singleton removal
- Sat Dec 26 08:56:12 2020 begin with 16714341 relations and 18302079 unique ideals
- Sat Dec 26 08:56:20 2020 reduce to 16154266 relations and 14692079 ideals in 8 passes
- Sat Dec 26 08:56:20 2020 max relations containing the same ideal: 69
- Sat Dec 26 08:56:25 2020 removing 2627142 relations and 1672605 ideals in 954537 cliques
- Sat Dec 26 08:56:26 2020 commencing in-memory singleton removal
- Sat Dec 26 08:56:27 2020 begin with 13527124 relations and 14692079 unique ideals
- Sat Dec 26 08:56:32 2020 reduce to 13204523 relations and 12678633 ideals in 7 passes
- Sat Dec 26 08:56:32 2020 max relations containing the same ideal: 60
- Sat Dec 26 08:56:37 2020 removing 95783 relations and 77543 ideals in 18240 cliques
- Sat Dec 26 08:56:37 2020 commencing in-memory singleton removal
- Sat Dec 26 08:56:38 2020 begin with 13108740 relations and 12678633 unique ideals
- Sat Dec 26 08:56:41 2020 reduce to 13108048 relations and 12600397 ideals in 4 passes
- Sat Dec 26 08:56:41 2020 max relations containing the same ideal: 59
- Sat Dec 26 08:56:43 2020 relations with 0 large ideals: 32348
- Sat Dec 26 08:56:43 2020 relations with 1 large ideals: 11460
- Sat Dec 26 08:56:43 2020 relations with 2 large ideals: 101789
- Sat Dec 26 08:56:43 2020 relations with 3 large ideals: 583375
- Sat Dec 26 08:56:43 2020 relations with 4 large ideals: 1765848
- Sat Dec 26 08:56:43 2020 relations with 5 large ideals: 3121549
- Sat Dec 26 08:56:43 2020 relations with 6 large ideals: 3399748
- Sat Dec 26 08:56:43 2020 relations with 7+ large ideals: 4091931
- Sat Dec 26 08:56:43 2020 commencing 2-way merge
- Sat Dec 26 08:56:49 2020 reduce to 9319828 relation sets and 8812177 unique ideals
- Sat Dec 26 08:56:49 2020 commencing full merge
- Sat Dec 26 08:59:46 2020 memory use: 1198.4 MB
- Sat Dec 26 08:59:47 2020 found 4161517 cycles, need 4152377
- Sat Dec 26 08:59:48 2020 weight of 4152377 cycles is about 498587793 (120.07/cycle)
- Sat Dec 26 08:59:48 2020 distribution of cycle lengths:
- Sat Dec 26 08:59:48 2020 1 relations: 109292
- Sat Dec 26 08:59:48 2020 2 relations: 189576
- Sat Dec 26 08:59:48 2020 3 relations: 255924
- Sat Dec 26 08:59:48 2020 4 relations: 288714
- Sat Dec 26 08:59:48 2020 5 relations: 312786
- Sat Dec 26 08:59:48 2020 6 relations: 318489
- Sat Dec 26 08:59:48 2020 7 relations: 316213
- Sat Dec 26 08:59:48 2020 8 relations: 304638
- Sat Dec 26 08:59:48 2020 9 relations: 284929
- Sat Dec 26 08:59:48 2020 10+ relations: 1771816
- Sat Dec 26 08:59:48 2020 heaviest cycle: 28 relations
- Sat Dec 26 08:59:49 2020 commencing cycle optimization
- Sat Dec 26 08:59:56 2020 start with 39118406 relations
- Sat Dec 26 09:01:14 2020 pruned 2271395 relations
- Sat Dec 26 09:01:14 2020 memory use: 948.8 MB
- Sat Dec 26 09:01:15 2020 distribution of cycle lengths:
- Sat Dec 26 09:01:15 2020 1 relations: 109292
- Sat Dec 26 09:01:15 2020 2 relations: 194691
- Sat Dec 26 09:01:15 2020 3 relations: 267835
- Sat Dec 26 09:01:15 2020 4 relations: 303260
- Sat Dec 26 09:01:15 2020 5 relations: 332673
- Sat Dec 26 09:01:15 2020 6 relations: 339486
- Sat Dec 26 09:01:15 2020 7 relations: 339238
- Sat Dec 26 09:01:15 2020 8 relations: 324902
- Sat Dec 26 09:01:15 2020 9 relations: 303742
- Sat Dec 26 09:01:15 2020 10+ relations: 1637258
- Sat Dec 26 09:01:15 2020 heaviest cycle: 28 relations
- Sat Dec 26 09:01:21 2020 RelProcTime: 2904
- Sat Dec 26 09:01:21 2020
- Sat Dec 26 09:01:21 2020 commencing linear algebra
- Sat Dec 26 09:01:22 2020 read 4152377 cycles
- Sat Dec 26 09:01:29 2020 cycles contain 12890119 unique relations
- Sat Dec 26 09:02:35 2020 read 12890119 relations
- Sat Dec 26 09:02:53 2020 using 20 quadratic characters above 4294917295
- Sat Dec 26 09:03:38 2020 building initial matrix
- Sat Dec 26 09:05:46 2020 memory use: 1589.0 MB
- Sat Dec 26 09:05:48 2020 read 4152377 cycles
- Sat Dec 26 09:05:49 2020 matrix is 4152200 x 4152377 (1907.9 MB) with weight 541016643 (130.29/col)
- Sat Dec 26 09:05:49 2020 sparse part has weight 458625577 (110.45/col)
- Sat Dec 26 09:06:29 2020 filtering completed in 2 passes
- Sat Dec 26 09:06:30 2020 matrix is 4152158 x 4152335 (1907.9 MB) with weight 541015002 (130.29/col)
- Sat Dec 26 09:06:30 2020 sparse part has weight 458624816 (110.45/col)
- Sat Dec 26 09:06:38 2020 matrix starts at (0, 0)
- Sat Dec 26 09:06:39 2020 matrix is 4152158 x 4152335 (1907.9 MB) with weight 541015002 (130.29/col)
- Sat Dec 26 09:06:39 2020 sparse part has weight 458624816 (110.45/col)
- Sat Dec 26 09:06:39 2020 saving the first 48 matrix rows for later
- Sat Dec 26 09:06:40 2020 matrix includes 64 packed rows
- Sat Dec 26 09:06:40 2020 matrix is 4152110 x 4152335 (1829.7 MB) with weight 467215772 (112.52/col)
- Sat Dec 26 09:06:40 2020 sparse part has weight 438122160 (105.51/col)
- Sat Dec 26 09:06:40 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
- Sat Dec 26 09:06:54 2020 commencing Lanczos iteration (3 threads)
- Sat Dec 26 09:06:54 2020 memory use: 1736.5 MB
- Sat Dec 26 09:07:26 2020 linear algebra at 0.0%, ETA 23h31m
- Sat Dec 26 09:07:36 2020 checkpointing every 180000 dimensions
- Sat Dec 26 19:42:53 2020 lanczos halted after 65659 iterations (dim = 4152110)
- Sat Dec 26 19:42:58 2020 recovered 35 nontrivial dependencies
- Sat Dec 26 19:42:58 2020 BLanczosTime: 38497
- Sat Dec 26 19:42:58 2020
- Sat Dec 26 19:42:58 2020 commencing square root phase
- Sat Dec 26 19:42:58 2020 handling dependencies 1 to 64
- Sat Dec 26 19:42:58 2020 reading relations for dependency 1
- Sat Dec 26 19:42:59 2020 read 2076081 cycles
- Sat Dec 26 19:43:02 2020 cycles contain 6443488 unique relations
- Sat Dec 26 19:43:38 2020 read 6443488 relations
- Sat Dec 26 19:43:56 2020 multiplying 6443488 relations
- Sat Dec 26 19:46:50 2020 multiply complete, coefficients have about 156.34 million bits
- Sat Dec 26 19:46:51 2020 initial square root is modulo 407947
- Sat Dec 26 19:50:06 2020 sqrtTime: 428
- Sat Dec 26 19:50:06 2020 p83 factor: 17145488029446357047300016636564505220872942809805758762746421255329492840773616279
- Sat Dec 26 19:50:06 2020 p127 factor: 1307905630056369598152764934325059564731388786794495092969360918438008182015254882690993978376339610776385752434151774894056297
- Sat Dec 26 19:50:06 2020 elapsed time 11:37:10
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