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- Sun Jan 31 17:31:44 2021
- Sun Jan 31 17:31:44 2021 Msieve v. 1.54 (SVN 1025)
- Sun Jan 31 17:31:44 2021 random seeds: 9ee3582d 59211f45
- Sun Jan 31 17:31:44 2021 factoring 70923513335415911523257332680186736993580975995677236979976849837942046263703017986964037697331184514239054230636400903317879146988111207545047639092602322858345687706846027208317066230796900167930997 (200 digits)
- Sun Jan 31 17:31:45 2021 searching for 15-digit factors
- Sun Jan 31 17:31:46 2021 commencing number field sieve (200-digit input)
- Sun Jan 31 17:31:46 2021 R0: 7385544613883839266230041883493354002
- Sun Jan 31 17:31:46 2021 R1: -2717635850124854249
- Sun Jan 31 17:31:46 2021 A0: -1
- Sun Jan 31 17:31:46 2021 A1: 3
- Sun Jan 31 17:31:46 2021 A2: 6
- Sun Jan 31 17:31:46 2021 A3: -4
- Sun Jan 31 17:31:46 2021 A4: -5
- Sun Jan 31 17:31:46 2021 A5: 1
- Sun Jan 31 17:31:46 2021 A6: 1
- Sun Jan 31 17:31:46 2021 skew 1.00, size 6.591e-11, alpha 3.126, combined = 2.442e-12 rroots = 6
- Sun Jan 31 17:31:46 2021
- Sun Jan 31 17:31:46 2021 commencing relation filtering
- Sun Jan 31 17:31:46 2021 setting target matrix density to 108.0
- Sun Jan 31 17:31:46 2021 estimated available RAM is 15984.6 MB
- Sun Jan 31 17:31:46 2021 commencing duplicate removal, pass 1
- Sun Jan 31 17:40:26 2021 skipped 1 relations with b > 2^32
- Sun Jan 31 17:40:26 2021 skipped 1 relations with composite factors
- Sun Jan 31 17:40:26 2021 found 2579365 hash collisions in 54467718 relations
- Sun Jan 31 17:40:26 2021 commencing duplicate removal, pass 2
- Sun Jan 31 17:40:41 2021 found 0 duplicates and 54467718 unique relations
- Sun Jan 31 17:40:41 2021 memory use: 189.2 MB
- Sun Jan 31 17:40:41 2021 reading ideals above 720000
- Sun Jan 31 17:40:41 2021 commencing singleton removal, initial pass
- Sun Jan 31 17:46:14 2021 memory use: 1378.0 MB
- Sun Jan 31 17:46:14 2021 reading all ideals from disk
- Sun Jan 31 17:46:15 2021 memory use: 1984.1 MB
- Sun Jan 31 17:46:18 2021 keeping 48886286 ideals with weight <= 200, target excess is 272530
- Sun Jan 31 17:46:21 2021 commencing in-memory singleton removal
- Sun Jan 31 17:46:23 2021 begin with 54467718 relations and 48886286 unique ideals
- Sun Jan 31 17:46:48 2021 reduce to 39296543 relations and 32440202 ideals in 11 passes
- Sun Jan 31 17:46:48 2021 max relations containing the same ideal: 169
- Sun Jan 31 17:46:58 2021 removing 4348207 relations and 3348207 ideals in 1000000 cliques
- Sun Jan 31 17:46:59 2021 commencing in-memory singleton removal
- Sun Jan 31 17:47:00 2021 begin with 34948336 relations and 32440202 unique ideals
- Sun Jan 31 17:47:17 2021 reduce to 34411544 relations and 28537286 ideals in 9 passes
- Sun Jan 31 17:47:17 2021 max relations containing the same ideal: 156
- Sun Jan 31 17:47:25 2021 removing 3599453 relations and 2599453 ideals in 1000000 cliques
- Sun Jan 31 17:47:26 2021 commencing in-memory singleton removal
- Sun Jan 31 17:47:28 2021 begin with 30812091 relations and 28537286 unique ideals
- Sun Jan 31 17:47:39 2021 reduce to 30466974 relations and 25581969 ideals in 7 passes
- Sun Jan 31 17:47:39 2021 max relations containing the same ideal: 145
- Sun Jan 31 17:47:47 2021 removing 3335455 relations and 2335455 ideals in 1000000 cliques
- Sun Jan 31 17:47:48 2021 commencing in-memory singleton removal
- Sun Jan 31 17:47:49 2021 begin with 27131519 relations and 25581969 unique ideals
- Sun Jan 31 17:48:00 2021 reduce to 26809827 relations and 22914550 ideals in 8 passes
- Sun Jan 31 17:48:00 2021 max relations containing the same ideal: 135
- Sun Jan 31 17:48:07 2021 removing 3233518 relations and 2233518 ideals in 1000000 cliques
- Sun Jan 31 17:48:08 2021 commencing in-memory singleton removal
- Sun Jan 31 17:48:09 2021 begin with 23576309 relations and 22914550 unique ideals
- Sun Jan 31 17:48:19 2021 reduce to 23244919 relations and 20338147 ideals in 8 passes
- Sun Jan 31 17:48:19 2021 max relations containing the same ideal: 122
- Sun Jan 31 17:48:25 2021 removing 3198603 relations and 2198603 ideals in 1000000 cliques
- Sun Jan 31 17:48:26 2021 commencing in-memory singleton removal
- Sun Jan 31 17:48:27 2021 begin with 20046316 relations and 20338147 unique ideals
- Sun Jan 31 17:48:35 2021 reduce to 19681716 relations and 17760446 ideals in 8 passes
- Sun Jan 31 17:48:35 2021 max relations containing the same ideal: 107
- Sun Jan 31 17:48:40 2021 removing 3205399 relations and 2205399 ideals in 1000000 cliques
- Sun Jan 31 17:48:41 2021 commencing in-memory singleton removal
- Sun Jan 31 17:48:42 2021 begin with 16476317 relations and 17760446 unique ideals
- Sun Jan 31 17:48:48 2021 reduce to 16046226 relations and 15104910 ideals in 8 passes
- Sun Jan 31 17:48:48 2021 max relations containing the same ideal: 91
- Sun Jan 31 17:48:53 2021 removing 2243532 relations and 1618351 ideals in 625181 cliques
- Sun Jan 31 17:48:53 2021 commencing in-memory singleton removal
- Sun Jan 31 17:48:54 2021 begin with 13802694 relations and 15104910 unique ideals
- Sun Jan 31 17:49:00 2021 reduce to 13539552 relations and 13213945 ideals in 9 passes
- Sun Jan 31 17:49:00 2021 max relations containing the same ideal: 83
- Sun Jan 31 17:49:04 2021 removing 69830 relations and 60358 ideals in 9472 cliques
- Sun Jan 31 17:49:04 2021 commencing in-memory singleton removal
- Sun Jan 31 17:49:05 2021 begin with 13469722 relations and 13213945 unique ideals
- Sun Jan 31 17:49:08 2021 reduce to 13469460 relations and 13153325 ideals in 5 passes
- Sun Jan 31 17:49:08 2021 max relations containing the same ideal: 83
- Sun Jan 31 17:49:10 2021 relations with 0 large ideals: 20885
- Sun Jan 31 17:49:10 2021 relations with 1 large ideals: 3314
- Sun Jan 31 17:49:10 2021 relations with 2 large ideals: 38021
- Sun Jan 31 17:49:10 2021 relations with 3 large ideals: 269143
- Sun Jan 31 17:49:10 2021 relations with 4 large ideals: 1046314
- Sun Jan 31 17:49:10 2021 relations with 5 large ideals: 2428667
- Sun Jan 31 17:49:10 2021 relations with 6 large ideals: 3509777
- Sun Jan 31 17:49:10 2021 relations with 7+ large ideals: 6153339
- Sun Jan 31 17:49:10 2021 commencing 2-way merge
- Sun Jan 31 17:49:15 2021 reduce to 8932964 relation sets and 8616829 unique ideals
- Sun Jan 31 17:49:15 2021 commencing full merge
- Sun Jan 31 17:51:47 2021 memory use: 1196.0 MB
- Sun Jan 31 17:51:47 2021 found 4043875 cycles, need 4041029
- Sun Jan 31 17:51:48 2021 weight of 4041029 cycles is about 436973561 (108.13/cycle)
- Sun Jan 31 17:51:48 2021 distribution of cycle lengths:
- Sun Jan 31 17:51:48 2021 1 relations: 256451
- Sun Jan 31 17:51:48 2021 2 relations: 286501
- Sun Jan 31 17:51:48 2021 3 relations: 304561
- Sun Jan 31 17:51:48 2021 4 relations: 300359
- Sun Jan 31 17:51:48 2021 5 relations: 298442
- Sun Jan 31 17:51:48 2021 6 relations: 289426
- Sun Jan 31 17:51:48 2021 7 relations: 278558
- Sun Jan 31 17:51:48 2021 8 relations: 261666
- Sun Jan 31 17:51:48 2021 9 relations: 243986
- Sun Jan 31 17:51:48 2021 10+ relations: 1521079
- Sun Jan 31 17:51:48 2021 heaviest cycle: 28 relations
- Sun Jan 31 17:51:49 2021 commencing cycle optimization
- Sun Jan 31 17:51:55 2021 start with 34711098 relations
- Sun Jan 31 17:52:50 2021 pruned 1594256 relations
- Sun Jan 31 17:52:50 2021 memory use: 912.8 MB
- Sun Jan 31 17:52:50 2021 distribution of cycle lengths:
- Sun Jan 31 17:52:50 2021 1 relations: 256451
- Sun Jan 31 17:52:50 2021 2 relations: 292499
- Sun Jan 31 17:52:50 2021 3 relations: 316091
- Sun Jan 31 17:52:50 2021 4 relations: 312350
- Sun Jan 31 17:52:50 2021 5 relations: 312611
- Sun Jan 31 17:52:50 2021 6 relations: 303072
- Sun Jan 31 17:52:50 2021 7 relations: 292310
- Sun Jan 31 17:52:50 2021 8 relations: 274080
- Sun Jan 31 17:52:50 2021 9 relations: 254796
- Sun Jan 31 17:52:50 2021 10+ relations: 1426769
- Sun Jan 31 17:52:50 2021 heaviest cycle: 28 relations
- Sun Jan 31 17:52:56 2021 RelProcTime: 1270
- Sun Jan 31 17:52:56 2021
- Sun Jan 31 17:52:56 2021 commencing linear algebra
- Sun Jan 31 17:52:56 2021 read 4041029 cycles
- Sun Jan 31 17:53:02 2021 cycles contain 13286179 unique relations
- Sun Jan 31 17:54:01 2021 read 13286179 relations
- Sun Jan 31 17:54:14 2021 using 20 quadratic characters above 4294917295
- Sun Jan 31 17:54:59 2021 building initial matrix
- Sun Jan 31 17:56:41 2021 memory use: 1597.1 MB
- Sun Jan 31 17:56:43 2021 read 4041029 cycles
- Sun Jan 31 17:56:43 2021 matrix is 4040852 x 4041029 (1710.9 MB) with weight 485500657 (120.14/col)
- Sun Jan 31 17:56:43 2021 sparse part has weight 408102301 (100.99/col)
- Sun Jan 31 17:57:13 2021 filtering completed in 2 passes
- Sun Jan 31 17:57:14 2021 matrix is 4040798 x 4040975 (1710.9 MB) with weight 485499181 (120.14/col)
- Sun Jan 31 17:57:14 2021 sparse part has weight 408101889 (100.99/col)
- Sun Jan 31 17:57:20 2021 matrix starts at (0, 0)
- Sun Jan 31 17:57:21 2021 matrix is 4040798 x 4040975 (1710.9 MB) with weight 485499181 (120.14/col)
- Sun Jan 31 17:57:21 2021 sparse part has weight 408101889 (100.99/col)
- Sun Jan 31 17:57:21 2021 saving the first 48 matrix rows for later
- Sun Jan 31 17:57:21 2021 matrix includes 64 packed rows
- Sun Jan 31 17:57:22 2021 matrix is 4040750 x 4040975 (1640.8 MB) with weight 415874986 (102.91/col)
- Sun Jan 31 17:57:22 2021 sparse part has weight 389723019 (96.44/col)
- Sun Jan 31 17:57:22 2021 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
- Sun Jan 31 17:57:33 2021 commencing Lanczos iteration (3 threads)
- Sun Jan 31 17:57:33 2021 memory use: 1566.4 MB
- Sun Jan 31 17:57:47 2021 linear algebra at 0.0%, ETA 10h20m
- Sun Jan 31 17:57:52 2021 checkpointing every 390000 dimensions
- Mon Feb 1 03:19:48 2021 lanczos halted after 63901 iterations (dim = 4040748)
- Mon Feb 1 03:19:53 2021 recovered 34 nontrivial dependencies
- Mon Feb 1 03:19:53 2021 BLanczosTime: 34017
- Mon Feb 1 03:19:53 2021
- Mon Feb 1 03:19:53 2021 commencing square root phase
- Mon Feb 1 03:19:53 2021 handling dependencies 1 to 64
- Mon Feb 1 03:19:53 2021 reading relations for dependency 1
- Mon Feb 1 03:19:54 2021 read 2021707 cycles
- Mon Feb 1 03:19:56 2021 cycles contain 6646998 unique relations
- Mon Feb 1 03:20:28 2021 read 6646998 relations
- Mon Feb 1 03:20:46 2021 multiplying 6646998 relations
- Mon Feb 1 03:23:43 2021 multiply complete, coefficients have about 158.42 million bits
- Mon Feb 1 03:23:44 2021 initial square root is modulo 484543
- Mon Feb 1 03:27:00 2021 GCD is N, no factor found
- Mon Feb 1 03:27:00 2021 reading relations for dependency 2
- Mon Feb 1 03:27:01 2021 read 2020198 cycles
- Mon Feb 1 03:27:03 2021 cycles contain 6643626 unique relations
- Mon Feb 1 03:27:35 2021 read 6643626 relations
- Mon Feb 1 03:27:53 2021 multiplying 6643626 relations
- Mon Feb 1 03:30:49 2021 multiply complete, coefficients have about 158.34 million bits
- Mon Feb 1 03:30:50 2021 initial square root is modulo 481379
- Mon Feb 1 03:34:07 2021 sqrtTime: 854
- Mon Feb 1 03:34:07 2021 p81 factor: 270899268818168681214419915735981757220200111362109451244758965592365103825052159
- Mon Feb 1 03:34:07 2021 p120 factor: 261807695697476208768002517722215032830431491877760417844330710276566438694504711767388527592925570651866811689502630283
- Mon Feb 1 03:34:07 2021 elapsed time 10:02:23
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