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- Thu Apr 18 20:56:30 2019
- Thu Apr 18 20:56:30 2019
- Thu Apr 18 20:56:30 2019 Msieve v. 1.54 (SVN 1025)
- Thu Apr 18 20:56:30 2019 random seeds: 9e15e9dd abe33ffb
- Thu Apr 18 20:56:30 2019 factoring 75330216856137242943568661496039575792022245053130355286525978768752700651704203724808386902382706870787846630150371114552533611444654144007867843455062345826898449449861606680844659120012445664963644577 (203 digits)
- Thu Apr 18 20:56:31 2019 searching for 15-digit factors
- Thu Apr 18 20:56:32 2019 commencing number field sieve (203-digit input)
- Thu Apr 18 20:56:32 2019 R0: 22888701332097558377030522
- Thu Apr 18 20:56:32 2019 R1: -4784213763211
- Thu Apr 18 20:56:32 2019 A0: 1
- Thu Apr 18 20:56:32 2019 A1: -4
- Thu Apr 18 20:56:32 2019 A2: -10
- Thu Apr 18 20:56:32 2019 A3: 10
- Thu Apr 18 20:56:32 2019 A4: 15
- Thu Apr 18 20:56:32 2019 A5: -6
- Thu Apr 18 20:56:32 2019 A6: -7
- Thu Apr 18 20:56:32 2019 A7: 1
- Thu Apr 18 20:56:32 2019 A8: 1
- Thu Apr 18 20:56:32 2019 skew 1.00, size 6.125e-06, alpha 3.205, combined = 1.916e-13 rroots = 8
- Thu Apr 18 20:56:32 2019
- Thu Apr 18 20:56:32 2019 commencing relation filtering
- Thu Apr 18 20:56:32 2019 setting target matrix density to 80.0
- Thu Apr 18 20:56:32 2019 estimated available RAM is 15988.9 MB
- Thu Apr 18 20:56:32 2019 commencing duplicate removal, pass 1
- Thu Apr 18 21:03:01 2019 error -1 reading relation 61806130
- Thu Apr 18 21:03:22 2019 error -15 reading relation 64970037
- Thu Apr 18 21:03:54 2019 error -15 reading relation 70035844
- Thu Apr 18 21:05:45 2019 error -6 reading relation 83535940
- Thu Apr 18 21:05:52 2019 skipped 4 relations with b > 2^32
- Thu Apr 18 21:05:52 2019 skipped 18 relations with composite factors
- Thu Apr 18 21:05:52 2019 found 3162480 hash collisions in 84601198 relations
- Thu Apr 18 21:05:52 2019 commencing duplicate removal, pass 2
- Thu Apr 18 21:06:07 2019 found 0 duplicates and 84601198 unique relations
- Thu Apr 18 21:06:07 2019 memory use: 253.2 MB
- Thu Apr 18 21:06:07 2019 reading ideals above 45809664
- Thu Apr 18 21:06:07 2019 commencing singleton removal, initial pass
- Thu Apr 18 21:13:21 2019 memory use: 2756.0 MB
- Thu Apr 18 21:13:21 2019 reading all ideals from disk
- Thu Apr 18 21:13:21 2019 memory use: 1885.0 MB
- Thu Apr 18 21:13:24 2019 commencing in-memory singleton removal
- Thu Apr 18 21:13:27 2019 begin with 84601198 relations and 82227317 unique ideals
- Thu Apr 18 21:14:19 2019 reduce to 47659784 relations and 40822423 ideals in 23 passes
- Thu Apr 18 21:14:19 2019 max relations containing the same ideal: 37
- Thu Apr 18 21:14:21 2019 reading ideals above 720000
- Thu Apr 18 21:14:22 2019 commencing singleton removal, initial pass
- Thu Apr 18 21:19:18 2019 memory use: 1378.0 MB
- Thu Apr 18 21:19:18 2019 reading all ideals from disk
- Thu Apr 18 21:19:19 2019 memory use: 1810.8 MB
- Thu Apr 18 21:19:22 2019 keeping 46107467 ideals with weight <= 200, target excess is 242949
- Thu Apr 18 21:19:26 2019 commencing in-memory singleton removal
- Thu Apr 18 21:19:29 2019 begin with 47659789 relations and 46107467 unique ideals
- Thu Apr 18 21:20:02 2019 reduce to 47652861 relations and 46100531 ideals in 10 passes
- Thu Apr 18 21:20:02 2019 max relations containing the same ideal: 200
- Thu Apr 18 21:20:17 2019 removing 3494527 relations and 3094527 ideals in 400000 cliques
- Thu Apr 18 21:20:18 2019 commencing in-memory singleton removal
- Thu Apr 18 21:20:21 2019 begin with 44158334 relations and 46100531 unique ideals
- Thu Apr 18 21:20:51 2019 reduce to 43894523 relations and 42738727 ideals in 10 passes
- Thu Apr 18 21:20:51 2019 max relations containing the same ideal: 195
- Thu Apr 18 21:21:05 2019 removing 2645981 relations and 2245981 ideals in 400000 cliques
- Thu Apr 18 21:21:06 2019 commencing in-memory singleton removal
- Thu Apr 18 21:21:08 2019 begin with 41248542 relations and 42738727 unique ideals
- Thu Apr 18 21:21:33 2019 reduce to 41083598 relations and 40326074 ideals in 9 passes
- Thu Apr 18 21:21:33 2019 max relations containing the same ideal: 189
- Thu Apr 18 21:21:46 2019 removing 2387566 relations and 1987566 ideals in 400000 cliques
- Thu Apr 18 21:21:47 2019 commencing in-memory singleton removal
- Thu Apr 18 21:21:50 2019 begin with 38696032 relations and 40326074 unique ideals
- Thu Apr 18 21:22:10 2019 reduce to 38555229 relations and 38196207 ideals in 8 passes
- Thu Apr 18 21:22:10 2019 max relations containing the same ideal: 184
- Thu Apr 18 21:22:23 2019 removing 585386 relations and 508185 ideals in 77201 cliques
- Thu Apr 18 21:22:23 2019 commencing in-memory singleton removal
- Thu Apr 18 21:22:26 2019 begin with 37969843 relations and 38196207 unique ideals
- Thu Apr 18 21:22:41 2019 reduce to 37961965 relations and 37680117 ideals in 6 passes
- Thu Apr 18 21:22:41 2019 max relations containing the same ideal: 182
- Thu Apr 18 21:22:48 2019 relations with 0 large ideals: 11392
- Thu Apr 18 21:22:48 2019 relations with 1 large ideals: 7488
- Thu Apr 18 21:22:48 2019 relations with 2 large ideals: 33915
- Thu Apr 18 21:22:48 2019 relations with 3 large ideals: 267961
- Thu Apr 18 21:22:48 2019 relations with 4 large ideals: 1246548
- Thu Apr 18 21:22:48 2019 relations with 5 large ideals: 3719855
- Thu Apr 18 21:22:48 2019 relations with 6 large ideals: 7363660
- Thu Apr 18 21:22:48 2019 relations with 7+ large ideals: 25311146
- Thu Apr 18 21:22:48 2019 commencing 2-way merge
- Thu Apr 18 21:23:06 2019 reduce to 24774578 relation sets and 24492730 unique ideals
- Thu Apr 18 21:23:06 2019 commencing full merge
- Thu Apr 18 21:28:55 2019 memory use: 2932.6 MB
- Thu Apr 18 21:28:57 2019 found 12305137 cycles, need 12276930
- Thu Apr 18 21:29:01 2019 weight of 12276930 cycles is about 982257047 (80.01/cycle)
- Thu Apr 18 21:29:01 2019 distribution of cycle lengths:
- Thu Apr 18 21:29:01 2019 1 relations: 1584563
- Thu Apr 18 21:29:01 2019 2 relations: 1473018
- Thu Apr 18 21:29:01 2019 3 relations: 1385436
- Thu Apr 18 21:29:01 2019 4 relations: 1220056
- Thu Apr 18 21:29:01 2019 5 relations: 1078667
- Thu Apr 18 21:29:01 2019 6 relations: 915451
- Thu Apr 18 21:29:01 2019 7 relations: 784408
- Thu Apr 18 21:29:01 2019 8 relations: 673272
- Thu Apr 18 21:29:01 2019 9 relations: 572526
- Thu Apr 18 21:29:01 2019 10+ relations: 2589533
- Thu Apr 18 21:29:01 2019 heaviest cycle: 28 relations
- Thu Apr 18 21:29:04 2019 commencing cycle optimization
- Thu Apr 18 21:29:19 2019 start with 75620190 relations
- Thu Apr 18 21:30:52 2019 pruned 2044790 relations
- Thu Apr 18 21:30:53 2019 memory use: 2337.9 MB
- Thu Apr 18 21:30:53 2019 distribution of cycle lengths:
- Thu Apr 18 21:30:53 2019 1 relations: 1584563
- Thu Apr 18 21:30:53 2019 2 relations: 1502670
- Thu Apr 18 21:30:53 2019 3 relations: 1433782
- Thu Apr 18 21:30:53 2019 4 relations: 1250831
- Thu Apr 18 21:30:53 2019 5 relations: 1105840
- Thu Apr 18 21:30:53 2019 6 relations: 929826
- Thu Apr 18 21:30:53 2019 7 relations: 792775
- Thu Apr 18 21:30:53 2019 8 relations: 673129
- Thu Apr 18 21:30:53 2019 9 relations: 568812
- Thu Apr 18 21:30:53 2019 10+ relations: 2434702
- Thu Apr 18 21:30:53 2019 heaviest cycle: 28 relations
- Thu Apr 18 21:31:13 2019 RelProcTime: 2081
- Thu Apr 18 21:31:14 2019
- Thu Apr 18 21:31:14 2019 commencing linear algebra
- Thu Apr 18 21:31:14 2019 read 12276930 cycles
- Thu Apr 18 21:31:28 2019 cycles contain 37743222 unique relations
- Thu Apr 18 21:34:11 2019 read 37743222 relations
- Thu Apr 18 21:34:51 2019 using 20 quadratic characters above 4294917295
- Thu Apr 18 21:36:53 2019 building initial matrix
- Thu Apr 18 21:41:34 2019 memory use: 4548.2 MB
- Thu Apr 18 21:41:44 2019 read 12276930 cycles
- Thu Apr 18 21:41:45 2019 matrix is 12276753 x 12276930 (4067.7 MB) with weight 1151562765 (93.80/col)
- Thu Apr 18 21:41:45 2019 sparse part has weight 943555847 (76.86/col)
- Thu Apr 18 21:43:12 2019 filtering completed in 2 passes
- Thu Apr 18 21:43:14 2019 matrix is 12274382 x 12274559 (4067.6 MB) with weight 1151505016 (93.81/col)
- Thu Apr 18 21:43:14 2019 sparse part has weight 943539239 (76.87/col)
- Thu Apr 18 21:43:34 2019 matrix starts at (0, 0)
- Thu Apr 18 21:43:35 2019 matrix is 12274382 x 12274559 (4067.6 MB) with weight 1151505016 (93.81/col)
- Thu Apr 18 21:43:35 2019 sparse part has weight 943539239 (76.87/col)
- Thu Apr 18 21:43:35 2019 saving the first 48 matrix rows for later
- Thu Apr 18 21:43:36 2019 matrix includes 64 packed rows
- Thu Apr 18 21:43:38 2019 matrix is 12274334 x 12274559 (3888.9 MB) with weight 955848812 (77.87/col)
- Thu Apr 18 21:43:38 2019 sparse part has weight 896713870 (73.05/col)
- Thu Apr 18 21:43:38 2019 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
- Thu Apr 18 21:44:06 2019 commencing Lanczos iteration (4 threads)
- Thu Apr 18 21:44:06 2019 memory use: 3843.2 MB
- Thu Apr 18 21:44:46 2019 linear algebra at 0.0%, ETA 87h49m
- Thu Apr 18 21:45:00 2019 checkpointing every 140000 dimensions
- Fri Apr 19 01:11:28 2019 error: corrupt state, please restart from checkpoint
- Sat Apr 20 07:54:00 2019
- Sat Apr 20 07:54:00 2019
- Sat Apr 20 07:54:00 2019 Msieve v. 1.54 (SVN 1025)
- Sat Apr 20 07:54:00 2019 random seeds: d7eb31a6 c400d7f8
- Sat Apr 20 07:54:00 2019 factoring 75330216856137242943568661496039575792022245053130355286525978768752700651704203724808386902382706870787846630150371114552533611444654144007867843455062345826898449449861606680844659120012445664963644577 (203 digits)
- Sat Apr 20 07:54:01 2019 searching for 15-digit factors
- Sat Apr 20 07:54:01 2019 commencing number field sieve (203-digit input)
- Sat Apr 20 07:54:01 2019 R0: 22888701332097558377030522
- Sat Apr 20 07:54:01 2019 R1: -4784213763211
- Sat Apr 20 07:54:01 2019 A0: 1
- Sat Apr 20 07:54:01 2019 A1: -4
- Sat Apr 20 07:54:01 2019 A2: -10
- Sat Apr 20 07:54:01 2019 A3: 10
- Sat Apr 20 07:54:01 2019 A4: 15
- Sat Apr 20 07:54:01 2019 A5: -6
- Sat Apr 20 07:54:01 2019 A6: -7
- Sat Apr 20 07:54:01 2019 A7: 1
- Sat Apr 20 07:54:01 2019 A8: 1
- Sat Apr 20 07:54:01 2019 skew 1.00, size 6.125e-06, alpha 3.205, combined = 1.916e-13 rroots = 8
- Sat Apr 20 07:54:01 2019
- Sat Apr 20 07:54:01 2019 commencing linear algebra
- Sat Apr 20 07:54:01 2019 skipping matrix build
- Sat Apr 20 07:54:03 2019 matrix starts at (0, 0)
- Sat Apr 20 07:54:04 2019 matrix is 12274382 x 12274559 (4067.6 MB) with weight 1151505016 (93.81/col)
- Sat Apr 20 07:54:04 2019 sparse part has weight 943539239 (76.87/col)
- Sat Apr 20 07:54:04 2019 saving the first 48 matrix rows for later
- Sat Apr 20 07:54:06 2019 matrix includes 64 packed rows
- Sat Apr 20 07:54:07 2019 matrix is 12274334 x 12274559 (3888.9 MB) with weight 955848812 (77.87/col)
- Sat Apr 20 07:54:07 2019 sparse part has weight 896713870 (73.05/col)
- Sat Apr 20 07:54:07 2019 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
- Sat Apr 20 07:54:31 2019 commencing Lanczos iteration (4 threads)
- Sat Apr 20 07:54:31 2019 memory use: 3843.2 MB
- Sat Apr 20 07:54:31 2019 restarting at iteration 6643 (dim = 420019)
- Sat Apr 20 07:55:14 2019 linear algebra at 3.4%, ETA 93h23m
- Sat Apr 20 07:55:33 2019 checkpointing every 120000 dimensions
- Tue Apr 23 17:11:29 2019 lanczos halted after 194105 iterations (dim = 12274334)
- Tue Apr 23 17:11:47 2019 recovered 34 nontrivial dependencies
- Tue Apr 23 17:11:47 2019 BLanczosTime: 292666
- Tue Apr 23 17:11:47 2019
- Tue Apr 23 17:11:47 2019 commencing square root phase
- Tue Apr 23 17:11:47 2019 handling dependencies 1 to 64
- Tue Apr 23 17:11:47 2019 reading relations for dependency 1
- Tue Apr 23 17:11:48 2019 read 6137888 cycles
- Tue Apr 23 17:11:54 2019 cycles contain 18874984 unique relations
- Tue Apr 23 17:13:22 2019 read 18874984 relations
- Tue Apr 23 17:14:20 2019 multiplying 18874984 relations
- Tue Apr 23 17:31:32 2019 multiply complete, coefficients have about 456.76 million bits
- Tue Apr 23 17:31:35 2019 initial square root is modulo 156950251
- Tue Apr 23 17:48:24 2019 GCD is 1, no factor found
- Tue Apr 23 17:48:24 2019 reading relations for dependency 2
- Tue Apr 23 17:48:25 2019 read 6138369 cycles
- Tue Apr 23 17:48:32 2019 cycles contain 18877956 unique relations
- Tue Apr 23 17:50:00 2019 read 18877956 relations
- Tue Apr 23 17:50:58 2019 multiplying 18877956 relations
- Tue Apr 23 18:08:06 2019 multiply complete, coefficients have about 456.84 million bits
- Tue Apr 23 18:08:10 2019 initial square root is modulo 157466789
- Tue Apr 23 18:24:49 2019 GCD is N, no factor found
- Tue Apr 23 18:24:49 2019 reading relations for dependency 3
- Tue Apr 23 18:24:50 2019 read 6137341 cycles
- Tue Apr 23 18:24:56 2019 cycles contain 18878050 unique relations
- Tue Apr 23 18:26:23 2019 read 18878050 relations
- Tue Apr 23 18:27:21 2019 multiplying 18878050 relations
- Tue Apr 23 18:44:40 2019 multiply complete, coefficients have about 456.84 million bits
- Tue Apr 23 18:44:43 2019 initial square root is modulo 157478891
- Tue Apr 23 19:12:02 2019 sqrtTime: 7215
- Tue Apr 23 19:12:02 2019 p94 factor: 2163861565543173737998968261988721968639399154262676521132511050026644544908835216955263833027
- Tue Apr 23 19:12:02 2019 p110 factor: 34812863288335088044690436414578102283937810674949634438937380122021766050026205633696654422489103301875272651
- Tue Apr 23 19:12:02 2019 elapsed time 83:18:02
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