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- Fri Jun 18 21:55:40 2021
- Fri Jun 18 21:55:40 2021
- Fri Jun 18 21:55:40 2021 Msieve v. 1.53 (SVN 988)
- Fri Jun 18 21:55:40 2021 random seeds: e9bf6ed8 9fbec0dc
- Fri Jun 18 21:55:40 2021 factoring 20368336484713885398677406097734505623758182866618487845061026424243080234035735984572057007102072299354002399630367074690299710020069173954936098597279706833 (158 digits)
- Fri Jun 18 21:55:41 2021 searching for 15-digit factors
- Fri Jun 18 21:55:41 2021 commencing number field sieve (158-digit input)
- Fri Jun 18 21:55:41 2021 R0: 1208723442061036910551484955889629122
- Fri Jun 18 21:55:41 2021 R1: -1099419593267755489
- Fri Jun 18 21:55:41 2021 A0: -1
- Fri Jun 18 21:55:41 2021 A1: 3
- Fri Jun 18 21:55:41 2021 A2: 6
- Fri Jun 18 21:55:41 2021 A3: -4
- Fri Jun 18 21:55:41 2021 A4: -5
- Fri Jun 18 21:55:41 2021 A5: 1
- Fri Jun 18 21:55:41 2021 A6: 1
- Fri Jun 18 21:55:41 2021 skew 1.00, size 1.105e-010, alpha 3.126, combined = 3.528e-012 rroots = 6
- Fri Jun 18 21:55:41 2021
- Fri Jun 18 21:55:41 2021 commencing relation filtering
- Fri Jun 18 21:55:41 2021 setting target matrix density to 100.0
- Fri Jun 18 21:55:41 2021 estimated available RAM is 12043.5 MB
- Fri Jun 18 21:55:41 2021 commencing duplicate removal, pass 1
- Fri Jun 18 21:59:22 2021 error -15 reading relation 18655503
- Fri Jun 18 22:00:06 2021 error -15 reading relation 22634327
- Fri Jun 18 22:02:11 2021 error -1 reading relation 33331768
- Fri Jun 18 22:03:27 2021 error -9 reading relation 39637437
- Fri Jun 18 22:04:40 2021 error -9 reading relation 45742516
- Fri Jun 18 22:05:10 2021 error -15 reading relation 48292287
- Fri Jun 18 22:05:26 2021 error -9 reading relation 49677998
- Fri Jun 18 22:05:26 2021 error -9 reading relation 49707245
- Fri Jun 18 22:05:50 2021 error -9 reading relation 51646421
- Fri Jun 18 22:05:51 2021 error -15 reading relation 51679844
- Fri Jun 18 22:05:51 2021 error -15 reading relation 51706768
- Fri Jun 18 22:05:51 2021 error -15 reading relation 51735189
- Fri Jun 18 22:05:53 2021 error -1 reading relation 51900622
- Fri Jun 18 22:06:08 2021 error -5 reading relation 53101687
- Fri Jun 18 22:06:10 2021 error -9 reading relation 53280730
- Fri Jun 18 22:07:27 2021 error -1 reading relation 59612043
- Fri Jun 18 22:08:31 2021 skipped 18 relations with composite factors
- Fri Jun 18 22:08:31 2021 found 12011405 hash collisions in 64776737 relations
- Fri Jun 18 22:08:42 2021 added 2438354 free relations
- Fri Jun 18 22:08:42 2021 commencing duplicate removal, pass 2
- Fri Jun 18 22:09:30 2021 found 12320559 duplicates and 54894532 unique relations
- Fri Jun 18 22:09:30 2021 memory use: 394.4 MB
- Fri Jun 18 22:09:30 2021 reading ideals above 37945344
- Fri Jun 18 22:09:30 2021 commencing singleton removal, initial pass
- Fri Jun 18 22:18:59 2021 memory use: 1378.0 MB
- Fri Jun 18 22:18:59 2021 reading all ideals from disk
- Fri Jun 18 22:19:00 2021 memory use: 968.5 MB
- Fri Jun 18 22:19:03 2021 commencing in-memory singleton removal
- Fri Jun 18 22:19:05 2021 begin with 54894532 relations and 43814899 unique ideals
- Fri Jun 18 22:19:29 2021 reduce to 38560710 relations and 25966559 ideals in 12 passes
- Fri Jun 18 22:19:29 2021 max relations containing the same ideal: 41
- Fri Jun 18 22:19:32 2021 reading ideals above 720000
- Fri Jun 18 22:19:32 2021 commencing singleton removal, initial pass
- Fri Jun 18 22:27:40 2021 memory use: 753.0 MB
- Fri Jun 18 22:27:40 2021 reading all ideals from disk
- Fri Jun 18 22:27:42 2021 memory use: 1373.6 MB
- Fri Jun 18 22:27:47 2021 keeping 30394913 ideals with weight <= 200, target excess is 202429
- Fri Jun 18 22:27:51 2021 commencing in-memory singleton removal
- Fri Jun 18 22:27:56 2021 begin with 38560714 relations and 30394913 unique ideals
- Fri Jun 18 22:28:07 2021 reduce to 38560640 relations and 30394823 ideals in 3 passes
- Fri Jun 18 22:28:07 2021 max relations containing the same ideal: 200
- Fri Jun 18 22:28:27 2021 removing 4372944 relations and 3372944 ideals in 1000000 cliques
- Fri Jun 18 22:28:29 2021 commencing in-memory singleton removal
- Fri Jun 18 22:28:33 2021 begin with 34187696 relations and 30394823 unique ideals
- Fri Jun 18 22:29:05 2021 reduce to 33680486 relations and 26498383 ideals in 9 passes
- Fri Jun 18 22:29:05 2021 max relations containing the same ideal: 191
- Fri Jun 18 22:29:25 2021 removing 3545860 relations and 2545860 ideals in 1000000 cliques
- Fri Jun 18 22:29:27 2021 commencing in-memory singleton removal
- Fri Jun 18 22:29:31 2021 begin with 30134626 relations and 26498383 unique ideals
- Fri Jun 18 22:29:54 2021 reduce to 29829900 relations and 23638686 ideals in 7 passes
- Fri Jun 18 22:29:54 2021 max relations containing the same ideal: 177
- Fri Jun 18 22:30:12 2021 removing 3219815 relations and 2219815 ideals in 1000000 cliques
- Fri Jun 18 22:30:14 2021 commencing in-memory singleton removal
- Fri Jun 18 22:30:18 2021 begin with 26610085 relations and 23638686 unique ideals
- Fri Jun 18 22:30:38 2021 reduce to 26339680 relations and 21139880 ideals in 7 passes
- Fri Jun 18 22:30:38 2021 max relations containing the same ideal: 165
- Fri Jun 18 22:30:54 2021 removing 3082729 relations and 2082729 ideals in 1000000 cliques
- Fri Jun 18 22:30:55 2021 commencing in-memory singleton removal
- Fri Jun 18 22:30:59 2021 begin with 23256951 relations and 21139880 unique ideals
- Fri Jun 18 22:31:16 2021 reduce to 22993954 relations and 18784972 ideals in 7 passes
- Fri Jun 18 22:31:16 2021 max relations containing the same ideal: 151
- Fri Jun 18 22:31:31 2021 removing 3004350 relations and 2004350 ideals in 1000000 cliques
- Fri Jun 18 22:31:32 2021 commencing in-memory singleton removal
- Fri Jun 18 22:31:35 2021 begin with 19989604 relations and 18784972 unique ideals
- Fri Jun 18 22:31:50 2021 reduce to 19716987 relations and 16497362 ideals in 7 passes
- Fri Jun 18 22:31:50 2021 max relations containing the same ideal: 135
- Fri Jun 18 22:32:03 2021 removing 2962808 relations and 1962808 ideals in 1000000 cliques
- Fri Jun 18 22:32:04 2021 commencing in-memory singleton removal
- Fri Jun 18 22:32:07 2021 begin with 16754179 relations and 16497362 unique ideals
- Fri Jun 18 22:32:21 2021 reduce to 16458165 relations and 14225564 ideals in 8 passes
- Fri Jun 18 22:32:21 2021 max relations containing the same ideal: 119
- Fri Jun 18 22:32:32 2021 removing 2934714 relations and 1934714 ideals in 1000000 cliques
- Fri Jun 18 22:32:33 2021 commencing in-memory singleton removal
- Fri Jun 18 22:32:35 2021 begin with 13523451 relations and 14225564 unique ideals
- Fri Jun 18 22:32:47 2021 reduce to 13187976 relations and 11937690 ideals in 8 passes
- Fri Jun 18 22:32:47 2021 max relations containing the same ideal: 101
- Fri Jun 18 22:32:57 2021 removing 2913464 relations and 1913464 ideals in 1000000 cliques
- Fri Jun 18 22:32:58 2021 commencing in-memory singleton removal
- Fri Jun 18 22:32:59 2021 begin with 10274512 relations and 11937690 unique ideals
- Fri Jun 18 22:33:09 2021 reduce to 9868663 relations and 9591223 ideals in 8 passes
- Fri Jun 18 22:33:09 2021 max relations containing the same ideal: 86
- Fri Jun 18 22:33:16 2021 removing 227881 relations and 185259 ideals in 42622 cliques
- Fri Jun 18 22:33:16 2021 commencing in-memory singleton removal
- Fri Jun 18 22:33:17 2021 begin with 9640782 relations and 9591223 unique ideals
- Fri Jun 18 22:33:24 2021 reduce to 9636374 relations and 9401542 ideals in 6 passes
- Fri Jun 18 22:33:24 2021 max relations containing the same ideal: 86
- Fri Jun 18 22:33:27 2021 relations with 0 large ideals: 15079
- Fri Jun 18 22:33:27 2021 relations with 1 large ideals: 3125
- Fri Jun 18 22:33:27 2021 relations with 2 large ideals: 24596
- Fri Jun 18 22:33:27 2021 relations with 3 large ideals: 179999
- Fri Jun 18 22:33:27 2021 relations with 4 large ideals: 713409
- Fri Jun 18 22:33:27 2021 relations with 5 large ideals: 1685387
- Fri Jun 18 22:33:27 2021 relations with 6 large ideals: 2470646
- Fri Jun 18 22:33:27 2021 relations with 7+ large ideals: 4544133
- Fri Jun 18 22:33:27 2021 commencing 2-way merge
- Fri Jun 18 22:33:36 2021 reduce to 6480713 relation sets and 6245881 unique ideals
- Fri Jun 18 22:33:36 2021 commencing full merge
- Fri Jun 18 22:37:03 2021 memory use: 882.1 MB
- Fri Jun 18 22:37:04 2021 found 3082447 cycles, need 3062081
- Fri Jun 18 22:37:05 2021 weight of 3062081 cycles is about 306318878 (100.04/cycle)
- Fri Jun 18 22:37:05 2021 distribution of cycle lengths:
- Fri Jun 18 22:37:05 2021 1 relations: 161876
- Fri Jun 18 22:37:05 2021 2 relations: 207346
- Fri Jun 18 22:37:05 2021 3 relations: 244493
- Fri Jun 18 22:37:05 2021 4 relations: 255061
- Fri Jun 18 22:37:05 2021 5 relations: 260114
- Fri Jun 18 22:37:05 2021 6 relations: 255327
- Fri Jun 18 22:37:05 2021 7 relations: 243093
- Fri Jun 18 22:37:05 2021 8 relations: 226333
- Fri Jun 18 22:37:05 2021 9 relations: 203399
- Fri Jun 18 22:37:05 2021 10+ relations: 1005039
- Fri Jun 18 22:37:05 2021 heaviest cycle: 28 relations
- Fri Jun 18 22:37:06 2021 commencing cycle optimization
- Fri Jun 18 22:37:12 2021 start with 24340718 relations
- Fri Jun 18 22:38:34 2021 pruned 1077347 relations
- Fri Jun 18 22:38:34 2021 memory use: 652.9 MB
- Fri Jun 18 22:38:34 2021 distribution of cycle lengths:
- Fri Jun 18 22:38:34 2021 1 relations: 161876
- Fri Jun 18 22:38:34 2021 2 relations: 211791
- Fri Jun 18 22:38:34 2021 3 relations: 254104
- Fri Jun 18 22:38:34 2021 4 relations: 265731
- Fri Jun 18 22:38:34 2021 5 relations: 273430
- Fri Jun 18 22:38:34 2021 6 relations: 267848
- Fri Jun 18 22:38:34 2021 7 relations: 255988
- Fri Jun 18 22:38:34 2021 8 relations: 235628
- Fri Jun 18 22:38:34 2021 9 relations: 210796
- Fri Jun 18 22:38:34 2021 10+ relations: 924889
- Fri Jun 18 22:38:34 2021 heaviest cycle: 28 relations
- Fri Jun 18 22:38:39 2021 RelProcTime: 2578
- Fri Jun 18 22:38:39 2021
- Fri Jun 18 22:38:40 2021 commencing linear algebra
- Fri Jun 18 22:38:40 2021 read 3062081 cycles
- Fri Jun 18 22:38:49 2021 cycles contain 9520055 unique relations
- Fri Jun 18 22:40:34 2021 read 9520055 relations
- Fri Jun 18 22:40:55 2021 using 20 quadratic characters above 4294917295
- Fri Jun 18 22:42:02 2021 building initial matrix
- Fri Jun 18 22:44:53 2021 memory use: 1169.6 MB
- Fri Jun 18 22:44:57 2021 read 3062081 cycles
- Fri Jun 18 22:44:58 2021 matrix is 3061904 x 3062081 (1213.8 MB) with weight 346155195 (113.05/col)
- Fri Jun 18 22:44:58 2021 sparse part has weight 287573968 (93.91/col)
- Fri Jun 18 22:45:39 2021 filtering completed in 2 passes
- Fri Jun 18 22:45:39 2021 matrix is 3061774 x 3061951 (1213.8 MB) with weight 346151629 (113.05/col)
- Fri Jun 18 22:45:39 2021 sparse part has weight 287572888 (93.92/col)
- Fri Jun 18 22:45:49 2021 matrix starts at (0, 0)
- Fri Jun 18 22:45:50 2021 matrix is 3061774 x 3061951 (1213.8 MB) with weight 346151629 (113.05/col)
- Fri Jun 18 22:45:50 2021 sparse part has weight 287572888 (93.92/col)
- Fri Jun 18 22:45:50 2021 saving the first 48 matrix rows for later
- Fri Jun 18 22:45:52 2021 matrix includes 64 packed rows
- Fri Jun 18 22:45:52 2021 matrix is 3061726 x 3061951 (1163.2 MB) with weight 293805591 (95.95/col)
- Fri Jun 18 22:45:52 2021 sparse part has weight 274295137 (89.58/col)
- Fri Jun 18 22:45:52 2021 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
- Fri Jun 18 22:46:13 2021 commencing Lanczos iteration (6 threads)
- Fri Jun 18 22:46:13 2021 memory use: 969.0 MB
- Fri Jun 18 22:46:26 2021 linear algebra at 0.0%, ETA 6h43m
- Fri Jun 18 22:46:30 2021 checkpointing every 460000 dimensions
- Sat Jun 19 05:17:08 2021 lanczos halted after 48415 iterations (dim = 3061724)
- Sat Jun 19 05:17:11 2021 recovered 35 nontrivial dependencies
- Sat Jun 19 05:17:12 2021 BLanczosTime: 23913
- Sat Jun 19 05:17:12 2021
- Sat Jun 19 05:17:12 2021 commencing square root phase
- Sat Jun 19 05:17:12 2021 handling dependencies 1 to 64
- Sat Jun 19 05:17:12 2021 reading relations for dependency 1
- Sat Jun 19 05:17:13 2021 read 1530241 cycles
- Sat Jun 19 05:17:16 2021 cycles contain 4756488 unique relations
- Sat Jun 19 05:18:07 2021 read 4756488 relations
- Sat Jun 19 05:18:33 2021 multiplying 4756488 relations
- Sat Jun 19 05:21:37 2021 multiply complete, coefficients have about 112.80 million bits
- Sat Jun 19 05:21:38 2021 initial square root is modulo 124801597
- Sat Jun 19 05:24:51 2021 sqrtTime: 459
- Sat Jun 19 05:24:51 2021 p62 factor: 79810151339927355220718069187457254225032271676273124396559857
- Sat Jun 19 05:24:51 2021 p96 factor: 255209846651725758545065755101073460480250240809818091146210634247058377552584389920349769363169
- Sat Jun 19 05:24:51 2021 elapsed time 07:29:11
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