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- Fri Oct 15 22:24:47 2021 Msieve v. 1.54 (SVN 1043M)
- Fri Oct 15 22:24:47 2021 random seeds: 149daa79 0e1c5447
- Fri Oct 15 22:24:47 2021 factoring 1239762805561429594286288233420012618532122893246949122958897848680213115917614415346303535609011886698511158615937281931431167545354301695978896290706257 (154 digits)
- Fri Oct 15 22:24:47 2021 searching for 15-digit factors
- Fri Oct 15 22:24:48 2021 commencing number field sieve (154-digit input)
- Fri Oct 15 22:24:48 2021 R0: -406133775376327442879249530634
- Fri Oct 15 22:24:48 2021 R1: 238036067529100981
- Fri Oct 15 22:24:48 2021 A0: 202836590175593866119944957356589040015
- Fri Oct 15 22:24:48 2021 A1: 380817119979585467506845599075529
- Fri Oct 15 22:24:48 2021 A2: 4529522713574626715048945
- Fri Oct 15 22:24:48 2021 A3: -18973397935243709641
- Fri Oct 15 22:24:48 2021 A4: 90109721720
- Fri Oct 15 22:24:48 2021 A5: 112200
- Fri Oct 15 22:24:48 2021 skew 7227664.02, size 6.634e-15, alpha -7.926, combined = 3.431e-12 rroots = 5
- Fri Oct 15 22:24:48 2021
- Fri Oct 15 22:24:48 2021 commencing relation filtering
- Fri Oct 15 22:24:48 2021 setting target matrix density to 130.0
- Fri Oct 15 22:24:48 2021 estimated available RAM is 31368.2 MB
- Fri Oct 15 22:24:48 2021 commencing duplicate removal, pass 1
- Fri Oct 15 22:33:30 2021 skipped 13 relations with composite factors
- Fri Oct 15 22:33:30 2021 found 12554489 hash collisions in 63467327 relations
- Fri Oct 15 22:33:59 2021 commencing duplicate removal, pass 2
- Fri Oct 15 22:34:23 2021 found 12127275 duplicates and 51340052 unique relations
- Fri Oct 15 22:34:23 2021 memory use: 330.4 MB
- Fri Oct 15 22:34:23 2021 reading ideals above 720000
- Fri Oct 15 22:34:23 2021 commencing singleton removal, initial pass
- Fri Oct 15 22:40:48 2021 memory use: 1378.0 MB
- Fri Oct 15 22:40:48 2021 reading all ideals from disk
- Fri Oct 15 22:40:49 2021 memory use: 1818.7 MB
- Fri Oct 15 22:40:53 2021 keeping 46789123 ideals with weight <= 200, target excess is 279032
- Fri Oct 15 22:40:58 2021 commencing in-memory singleton removal
- Fri Oct 15 22:41:01 2021 begin with 51340052 relations and 46789123 unique ideals
- Fri Oct 15 22:41:41 2021 reduce to 33367670 relations and 27003550 ideals in 13 passes
- Fri Oct 15 22:41:41 2021 max relations containing the same ideal: 156
- Fri Oct 15 22:41:56 2021 removing 4493227 relations and 3493227 ideals in 1000000 cliques
- Fri Oct 15 22:41:58 2021 commencing in-memory singleton removal
- Fri Oct 15 22:42:00 2021 begin with 28874443 relations and 27003550 unique ideals
- Fri Oct 15 22:42:19 2021 reduce to 28406922 relations and 23025837 ideals in 8 passes
- Fri Oct 15 22:42:19 2021 max relations containing the same ideal: 143
- Fri Oct 15 22:42:30 2021 removing 3537733 relations and 2537733 ideals in 1000000 cliques
- Fri Oct 15 22:42:32 2021 commencing in-memory singleton removal
- Fri Oct 15 22:42:34 2021 begin with 24869189 relations and 23025837 unique ideals
- Fri Oct 15 22:42:49 2021 reduce to 24533910 relations and 20141585 ideals in 8 passes
- Fri Oct 15 22:42:49 2021 max relations containing the same ideal: 129
- Fri Oct 15 22:43:00 2021 removing 3281094 relations and 2281094 ideals in 1000000 cliques
- Fri Oct 15 22:43:01 2021 commencing in-memory singleton removal
- Fri Oct 15 22:43:03 2021 begin with 21252816 relations and 20141585 unique ideals
- Fri Oct 15 22:43:15 2021 reduce to 20937151 relations and 17533116 ideals in 7 passes
- Fri Oct 15 22:43:15 2021 max relations containing the same ideal: 117
- Fri Oct 15 22:43:24 2021 removing 3162213 relations and 2162213 ideals in 1000000 cliques
- Fri Oct 15 22:43:25 2021 commencing in-memory singleton removal
- Fri Oct 15 22:43:26 2021 begin with 17774938 relations and 17533116 unique ideals
- Fri Oct 15 22:43:36 2021 reduce to 17445457 relations and 15027731 ideals in 7 passes
- Fri Oct 15 22:43:36 2021 max relations containing the same ideal: 103
- Fri Oct 15 22:43:43 2021 removing 3103197 relations and 2103197 ideals in 1000000 cliques
- Fri Oct 15 22:43:45 2021 commencing in-memory singleton removal
- Fri Oct 15 22:43:45 2021 begin with 14342260 relations and 15027731 unique ideals
- Fri Oct 15 22:43:53 2021 reduce to 13975448 relations and 12539676 ideals in 8 passes
- Fri Oct 15 22:43:53 2021 max relations containing the same ideal: 91
- Fri Oct 15 22:43:59 2021 removing 3069579 relations and 2069579 ideals in 1000000 cliques
- Fri Oct 15 22:44:00 2021 commencing in-memory singleton removal
- Fri Oct 15 22:44:01 2021 begin with 10905869 relations and 12539676 unique ideals
- Fri Oct 15 22:44:07 2021 reduce to 10462809 relations and 9999833 ideals in 9 passes
- Fri Oct 15 22:44:07 2021 max relations containing the same ideal: 79
- Fri Oct 15 22:44:12 2021 removing 649438 relations and 510140 ideals in 139298 cliques
- Fri Oct 15 22:44:13 2021 commencing in-memory singleton removal
- Fri Oct 15 22:44:13 2021 begin with 9813371 relations and 9999833 unique ideals
- Fri Oct 15 22:44:17 2021 reduce to 9786673 relations and 9462667 ideals in 6 passes
- Fri Oct 15 22:44:17 2021 max relations containing the same ideal: 74
- Fri Oct 15 22:44:22 2021 relations with 0 large ideals: 920
- Fri Oct 15 22:44:22 2021 relations with 1 large ideals: 4468
- Fri Oct 15 22:44:22 2021 relations with 2 large ideals: 60491
- Fri Oct 15 22:44:22 2021 relations with 3 large ideals: 375829
- Fri Oct 15 22:44:22 2021 relations with 4 large ideals: 1226143
- Fri Oct 15 22:44:22 2021 relations with 5 large ideals: 2326263
- Fri Oct 15 22:44:22 2021 relations with 6 large ideals: 2711310
- Fri Oct 15 22:44:22 2021 relations with 7+ large ideals: 3081249
- Fri Oct 15 22:44:22 2021 commencing 2-way merge
- Fri Oct 15 22:44:28 2021 reduce to 6345761 relation sets and 6021755 unique ideals
- Fri Oct 15 22:44:28 2021 commencing full merge
- Fri Oct 15 22:46:52 2021 memory use: 786.8 MB
- Fri Oct 15 22:46:52 2021 found 2786099 cycles, need 2771955
- Fri Oct 15 22:46:53 2021 weight of 2771955 cycles is about 360584983 (130.08/cycle)
- Fri Oct 15 22:46:53 2021 distribution of cycle lengths:
- Fri Oct 15 22:46:53 2021 1 relations: 76390
- Fri Oct 15 22:46:53 2021 2 relations: 136924
- Fri Oct 15 22:46:53 2021 3 relations: 171814
- Fri Oct 15 22:46:53 2021 4 relations: 184645
- Fri Oct 15 22:46:53 2021 5 relations: 194596
- Fri Oct 15 22:46:53 2021 6 relations: 196814
- Fri Oct 15 22:46:53 2021 7 relations: 196840
- Fri Oct 15 22:46:53 2021 8 relations: 190769
- Fri Oct 15 22:46:53 2021 9 relations: 182310
- Fri Oct 15 22:46:53 2021 10+ relations: 1240853
- Fri Oct 15 22:46:53 2021 heaviest cycle: 28 relations
- Fri Oct 15 22:46:54 2021 commencing cycle optimization
- Fri Oct 15 22:47:00 2021 start with 26545405 relations
- Fri Oct 15 22:48:07 2021 pruned 1391514 relations
- Fri Oct 15 22:48:07 2021 memory use: 676.8 MB
- Fri Oct 15 22:48:07 2021 distribution of cycle lengths:
- Fri Oct 15 22:48:07 2021 1 relations: 76390
- Fri Oct 15 22:48:07 2021 2 relations: 141223
- Fri Oct 15 22:48:07 2021 3 relations: 180162
- Fri Oct 15 22:48:07 2021 4 relations: 193510
- Fri Oct 15 22:48:07 2021 5 relations: 206270
- Fri Oct 15 22:48:07 2021 6 relations: 208284
- Fri Oct 15 22:48:07 2021 7 relations: 209755
- Fri Oct 15 22:48:07 2021 8 relations: 201825
- Fri Oct 15 22:48:07 2021 9 relations: 193012
- Fri Oct 15 22:48:07 2021 10+ relations: 1161524
- Fri Oct 15 22:48:07 2021 heaviest cycle: 28 relations
- Fri Oct 15 22:48:13 2021 RelProcTime: 1405
- Fri Oct 15 22:48:13 2021
- Fri Oct 15 22:48:13 2021 commencing linear algebra
- Fri Oct 15 22:48:13 2021 read 2771955 cycles
- Fri Oct 15 22:48:20 2021 cycles contain 9617941 unique relations
- Fri Oct 15 22:49:14 2021 read 9617941 relations
- Fri Oct 15 22:49:29 2021 using 20 quadratic characters above 4294917295
- Fri Oct 15 22:50:18 2021 building initial matrix
- Fri Oct 15 22:52:32 2021 memory use: 1343.3 MB
- Fri Oct 15 22:52:34 2021 read 2771955 cycles
- Fri Oct 15 22:52:35 2021 matrix is 2771777 x 2771955 (1391.8 MB) with weight 428085396 (154.43/col)
- Fri Oct 15 22:52:35 2021 sparse part has weight 331588021 (119.62/col)
- Fri Oct 15 22:53:06 2021 filtering completed in 2 passes
- Fri Oct 15 22:53:06 2021 matrix is 2771747 x 2771925 (1391.8 MB) with weight 428083954 (154.44/col)
- Fri Oct 15 22:53:06 2021 sparse part has weight 331587667 (119.62/col)
- Fri Oct 15 22:53:18 2021 matrix starts at (0, 0)
- Fri Oct 15 22:53:19 2021 matrix is 2771747 x 2771925 (1391.8 MB) with weight 428083954 (154.44/col)
- Fri Oct 15 22:53:19 2021 sparse part has weight 331587667 (119.62/col)
- Fri Oct 15 22:53:19 2021 saving the first 48 matrix rows for later
- Fri Oct 15 22:53:19 2021 matrix includes 64 packed rows
- Fri Oct 15 22:53:20 2021 matrix is 2771699 x 2771925 (1362.8 MB) with weight 369591332 (133.33/col)
- Fri Oct 15 22:53:20 2021 sparse part has weight 329526613 (118.88/col)
- Fri Oct 15 22:53:20 2021 using block size 8192 and superblock size 3244032 for processor cache size 33792 kB
- Fri Oct 15 22:53:31 2021 commencing Lanczos iteration (4 threads)
- Fri Oct 15 22:53:31 2021 memory use: 1244.4 MB
- Fri Oct 15 22:53:39 2021 linear algebra at 0.1%, ETA 4h 2m
- Fri Oct 15 22:53:42 2021 checkpointing every 670000 dimensions
- Sat Oct 16 03:11:53 2021 lanczos halted after 43835 iterations (dim = 2771699)
- Sat Oct 16 03:11:56 2021 recovered 32 nontrivial dependencies
- Sat Oct 16 03:11:56 2021 BLanczosTime: 15823
- Sat Oct 16 03:11:56 2021
- Sat Oct 16 03:11:56 2021 commencing square root phase
- Sat Oct 16 03:11:56 2021 handling dependencies 1 to 64
- Sat Oct 16 03:11:56 2021 reading relations for dependency 1
- Sat Oct 16 03:11:56 2021 read 1385396 cycles
- Sat Oct 16 03:11:59 2021 cycles contain 4806298 unique relations
- Sat Oct 16 03:12:28 2021 read 4806298 relations
- Sat Oct 16 03:12:51 2021 multiplying 4806298 relations
- Sat Oct 16 03:16:44 2021 multiply complete, coefficients have about 250.69 million bits
- Sat Oct 16 03:16:45 2021 initial square root is modulo 991741789
- Sat Oct 16 03:22:01 2021 Newton iteration failed to converge
- Sat Oct 16 03:22:01 2021 algebraic square root failed
- Sat Oct 16 03:22:01 2021 reading relations for dependency 2
- Sat Oct 16 03:22:02 2021 read 1385788 cycles
- Sat Oct 16 03:22:04 2021 cycles contain 4807866 unique relations
- Sat Oct 16 03:22:33 2021 read 4807866 relations
- Sat Oct 16 03:22:55 2021 multiplying 4807866 relations
- Sat Oct 16 03:27:02 2021 multiply complete, coefficients have about 250.76 million bits
- Sat Oct 16 03:27:03 2021 initial square root is modulo 998184497
- Sat Oct 16 03:32:24 2021 sqrtTime: 1228
- Sat Oct 16 03:32:24 2021 p70 factor: 1558372156579517914575361027742147884616942226989060487210578208943801
- Sat Oct 16 03:32:24 2021 p84 factor: 795549895015189284597586416115849704742615979198855160146739891676904958104924429657
- Sat Oct 16 03:32:24 2021 elapsed time 05:07:37
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