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- Wed Aug 19 16:27:54 2020
- Wed Aug 19 16:27:54 2020
- Wed Aug 19 16:27:54 2020 Msieve v. 1.54 (SVN 1030)
- Wed Aug 19 16:27:54 2020 random seeds: 5d21cea3 98818291
- Wed Aug 19 16:27:54 2020 factoring 4669937847922960469627450025852521600970960716253233463463175393037881391445831426544400440779446261919779956841537764139538685150025011203456632914616237356852276106135950741518387764290511773720355409129825475537 (214 digits)
- Wed Aug 19 16:27:55 2020 no P-1/P+1/ECM available, skipping
- Wed Aug 19 16:27:55 2020 commencing number field sieve (214-digit input)
- Wed Aug 19 16:27:55 2020 R0: 53145718831620619426213008116646863762
- Wed Aug 19 16:27:55 2020 R1: -7290111030129830569
- Wed Aug 19 16:27:55 2020 A0: -1
- Wed Aug 19 16:27:55 2020 A1: 3
- Wed Aug 19 16:27:55 2020 A2: 6
- Wed Aug 19 16:27:55 2020 A3: -4
- Wed Aug 19 16:27:55 2020 A4: -5
- Wed Aug 19 16:27:55 2020 A5: 1
- Wed Aug 19 16:27:55 2020 A6: 1
- Wed Aug 19 16:27:55 2020 skew 1.00, size 3.750e-11, alpha 3.126, combined = 1.629e-12 rroots = 6
- Wed Aug 19 16:27:55 2020
- Wed Aug 19 16:27:55 2020 commencing relation filtering
- Wed Aug 19 16:27:55 2020 setting target matrix density to 120.0
- Wed Aug 19 16:27:55 2020 estimated available RAM is 128833.4 MB
- Wed Aug 19 16:27:55 2020 commencing duplicate removal, pass 1
- Wed Aug 19 16:37:06 2020 error -15 reading relation 106829191
- Wed Aug 19 16:37:47 2020 skipped 6 relations with b > 2^32
- Wed Aug 19 16:37:47 2020 found 5401416 hash collisions in 111455481 relations
- Wed Aug 19 16:37:47 2020 commencing duplicate removal, pass 2
- Wed Aug 19 16:38:07 2020 found 0 duplicates and 111455481 unique relations
- Wed Aug 19 16:38:07 2020 memory use: 378.4 MB
- Wed Aug 19 16:38:07 2020 reading ideals above 720000
- Wed Aug 19 16:38:07 2020 commencing singleton removal, initial pass
- Wed Aug 19 16:47:08 2020 memory use: 2756.0 MB
- Wed Aug 19 16:47:08 2020 reading all ideals from disk
- Wed Aug 19 16:47:09 2020 memory use: 4174.4 MB
- Wed Aug 19 16:47:14 2020 keeping 92706986 ideals with weight <= 200, target excess is 567760
- Wed Aug 19 16:47:22 2020 commencing in-memory singleton removal
- Wed Aug 19 16:47:27 2020 begin with 111455481 relations and 92706986 unique ideals
- Wed Aug 19 16:48:34 2020 reduce to 80451735 relations and 59066262 ideals in 13 passes
- Wed Aug 19 16:48:34 2020 max relations containing the same ideal: 169
- Wed Aug 19 16:48:56 2020 removing 7759599 relations and 5759599 ideals in 2000000 cliques
- Wed Aug 19 16:48:57 2020 commencing in-memory singleton removal
- Wed Aug 19 16:49:00 2020 begin with 72692136 relations and 59066262 unique ideals
- Wed Aug 19 16:49:36 2020 reduce to 72066008 relations and 52661191 ideals in 8 passes
- Wed Aug 19 16:49:36 2020 max relations containing the same ideal: 163
- Wed Aug 19 16:49:55 2020 removing 6322164 relations and 4322164 ideals in 2000000 cliques
- Wed Aug 19 16:49:57 2020 commencing in-memory singleton removal
- Wed Aug 19 16:50:00 2020 begin with 65743844 relations and 52661191 unique ideals
- Wed Aug 19 16:50:27 2020 reduce to 65309704 relations and 47892501 ideals in 7 passes
- Wed Aug 19 16:50:27 2020 max relations containing the same ideal: 149
- Wed Aug 19 16:50:45 2020 removing 5885168 relations and 3885168 ideals in 2000000 cliques
- Wed Aug 19 16:50:46 2020 commencing in-memory singleton removal
- Wed Aug 19 16:50:49 2020 begin with 59424536 relations and 47892501 unique ideals
- Wed Aug 19 16:51:13 2020 reduce to 59041310 relations and 43613117 ideals in 7 passes
- Wed Aug 19 16:51:13 2020 max relations containing the same ideal: 140
- Wed Aug 19 16:51:30 2020 removing 5661514 relations and 3661514 ideals in 2000000 cliques
- Wed Aug 19 16:51:31 2020 commencing in-memory singleton removal
- Wed Aug 19 16:51:33 2020 begin with 53379796 relations and 43613117 unique ideals
- Wed Aug 19 16:51:58 2020 reduce to 53011107 relations and 39571466 ideals in 8 passes
- Wed Aug 19 16:51:58 2020 max relations containing the same ideal: 130
- Wed Aug 19 16:52:12 2020 removing 5523963 relations and 3523963 ideals in 2000000 cliques
- Wed Aug 19 16:52:13 2020 commencing in-memory singleton removal
- Wed Aug 19 16:52:15 2020 begin with 47487144 relations and 39571466 unique ideals
- Wed Aug 19 16:52:34 2020 reduce to 47116314 relations and 35664334 ideals in 7 passes
- Wed Aug 19 16:52:34 2020 max relations containing the same ideal: 119
- Wed Aug 19 16:52:47 2020 removing 5433728 relations and 3433728 ideals in 2000000 cliques
- Wed Aug 19 16:52:48 2020 commencing in-memory singleton removal
- Wed Aug 19 16:52:50 2020 begin with 41682586 relations and 35664334 unique ideals
- Wed Aug 19 16:53:07 2020 reduce to 41298760 relations and 31832494 ideals in 7 passes
- Wed Aug 19 16:53:07 2020 max relations containing the same ideal: 109
- Wed Aug 19 16:53:18 2020 removing 5372064 relations and 3372064 ideals in 2000000 cliques
- Wed Aug 19 16:53:19 2020 commencing in-memory singleton removal
- Wed Aug 19 16:53:21 2020 begin with 35926696 relations and 31832494 unique ideals
- Wed Aug 19 16:53:35 2020 reduce to 35519373 relations and 28036049 ideals in 7 passes
- Wed Aug 19 16:53:35 2020 max relations containing the same ideal: 100
- Wed Aug 19 16:53:46 2020 removing 5323670 relations and 3323670 ideals in 2000000 cliques
- Wed Aug 19 16:53:47 2020 commencing in-memory singleton removal
- Wed Aug 19 16:53:48 2020 begin with 30195703 relations and 28036049 unique ideals
- Wed Aug 19 16:54:00 2020 reduce to 29749383 relations and 24245123 ideals in 7 passes
- Wed Aug 19 16:54:00 2020 max relations containing the same ideal: 89
- Wed Aug 19 16:54:08 2020 removing 5278446 relations and 3278446 ideals in 2000000 cliques
- Wed Aug 19 16:54:09 2020 commencing in-memory singleton removal
- Wed Aug 19 16:54:10 2020 begin with 24470937 relations and 24245123 unique ideals
- Wed Aug 19 16:54:20 2020 reduce to 23971052 relations and 20438825 ideals in 7 passes
- Wed Aug 19 16:54:20 2020 max relations containing the same ideal: 78
- Wed Aug 19 16:54:27 2020 removing 5228786 relations and 3228786 ideals in 2000000 cliques
- Wed Aug 19 16:54:28 2020 commencing in-memory singleton removal
- Wed Aug 19 16:54:28 2020 begin with 18742266 relations and 20438825 unique ideals
- Wed Aug 19 16:54:36 2020 reduce to 18154126 relations and 16581104 ideals in 8 passes
- Wed Aug 19 16:54:36 2020 max relations containing the same ideal: 63
- Wed Aug 19 16:54:41 2020 removing 2661600 relations and 1747180 ideals in 914420 cliques
- Wed Aug 19 16:54:42 2020 commencing in-memory singleton removal
- Wed Aug 19 16:54:43 2020 begin with 15492526 relations and 16581104 unique ideals
- Wed Aug 19 16:54:48 2020 reduce to 15204038 relations and 14531795 ideals in 7 passes
- Wed Aug 19 16:54:48 2020 max relations containing the same ideal: 55
- Wed Aug 19 16:54:53 2020 removing 75832 relations and 62191 ideals in 13641 cliques
- Wed Aug 19 16:54:53 2020 commencing in-memory singleton removal
- Wed Aug 19 16:54:54 2020 begin with 15128206 relations and 14531795 unique ideals
- Wed Aug 19 16:54:58 2020 reduce to 15127849 relations and 14469246 ideals in 5 passes
- Wed Aug 19 16:54:58 2020 max relations containing the same ideal: 55
- Wed Aug 19 16:54:59 2020 relations with 0 large ideals: 41809
- Wed Aug 19 16:54:59 2020 relations with 1 large ideals: 18082
- Wed Aug 19 16:54:59 2020 relations with 2 large ideals: 161259
- Wed Aug 19 16:54:59 2020 relations with 3 large ideals: 849301
- Wed Aug 19 16:54:59 2020 relations with 4 large ideals: 2358101
- Wed Aug 19 16:54:59 2020 relations with 5 large ideals: 3826741
- Wed Aug 19 16:54:59 2020 relations with 6 large ideals: 3817679
- Wed Aug 19 16:54:59 2020 relations with 7+ large ideals: 4054877
- Wed Aug 19 16:54:59 2020 commencing 2-way merge
- Wed Aug 19 16:55:05 2020 reduce to 10626066 relation sets and 9967463 unique ideals
- Wed Aug 19 16:55:05 2020 commencing full merge
- Wed Aug 19 16:57:56 2020 memory use: 1338.6 MB
- Wed Aug 19 16:57:57 2020 found 4762800 cycles, need 4733663
- Wed Aug 19 16:57:58 2020 weight of 4733663 cycles is about 568283296 (120.05/cycle)
- Wed Aug 19 16:57:58 2020 distribution of cycle lengths:
- Wed Aug 19 16:57:58 2020 1 relations: 130497
- Wed Aug 19 16:57:58 2020 2 relations: 219855
- Wed Aug 19 16:57:58 2020 3 relations: 292668
- Wed Aug 19 16:57:58 2020 4 relations: 325234
- Wed Aug 19 16:57:58 2020 5 relations: 351407
- Wed Aug 19 16:57:58 2020 6 relations: 357053
- Wed Aug 19 16:57:58 2020 7 relations: 356326
- Wed Aug 19 16:57:58 2020 8 relations: 345991
- Wed Aug 19 16:57:58 2020 9 relations: 323709
- Wed Aug 19 16:57:58 2020 10+ relations: 2030923
- Wed Aug 19 16:57:58 2020 heaviest cycle: 28 relations
- Wed Aug 19 16:57:59 2020 commencing cycle optimization
- Wed Aug 19 16:58:06 2020 start with 44356176 relations
- Wed Aug 19 16:59:21 2020 pruned 2504466 relations
- Wed Aug 19 16:59:21 2020 memory use: 1085.2 MB
- Wed Aug 19 16:59:21 2020 distribution of cycle lengths:
- Wed Aug 19 16:59:21 2020 1 relations: 130497
- Wed Aug 19 16:59:21 2020 2 relations: 225719
- Wed Aug 19 16:59:21 2020 3 relations: 306238
- Wed Aug 19 16:59:21 2020 4 relations: 341386
- Wed Aug 19 16:59:21 2020 5 relations: 373776
- Wed Aug 19 16:59:21 2020 6 relations: 380116
- Wed Aug 19 16:59:21 2020 7 relations: 382046
- Wed Aug 19 16:59:21 2020 8 relations: 368576
- Wed Aug 19 16:59:21 2020 9 relations: 344749
- Wed Aug 19 16:59:21 2020 10+ relations: 1880560
- Wed Aug 19 16:59:21 2020 heaviest cycle: 28 relations
- Wed Aug 19 16:59:24 2020 RelProcTime: 1889
- Wed Aug 19 16:59:25 2020
- Wed Aug 19 16:59:25 2020 commencing linear algebra
- Wed Aug 19 16:59:25 2020 read 4733663 cycles
- Wed Aug 19 16:59:32 2020 cycles contain 14841555 unique relations
- Wed Aug 19 17:00:23 2020 read 14841555 relations
- Wed Aug 19 17:00:47 2020 using 20 quadratic characters above 4294917295
- Wed Aug 19 17:01:27 2020 building initial matrix
- Wed Aug 19 17:03:38 2020 memory use: 1813.0 MB
- Wed Aug 19 17:03:40 2020 read 4733663 cycles
- Wed Aug 19 17:03:40 2020 matrix is 4733486 x 4733663 (2179.7 MB) with weight 618262290 (130.61/col)
- Wed Aug 19 17:03:40 2020 sparse part has weight 524065771 (110.71/col)
- Wed Aug 19 17:04:13 2020 filtering completed in 2 passes
- Wed Aug 19 17:04:13 2020 matrix is 4733393 x 4733570 (2179.7 MB) with weight 618259241 (130.61/col)
- Wed Aug 19 17:04:13 2020 sparse part has weight 524064596 (110.71/col)
- Wed Aug 19 17:04:37 2020 matrix starts at (0, 0)
- Wed Aug 19 17:04:37 2020 matrix is 4733393 x 4733570 (2179.7 MB) with weight 618259241 (130.61/col)
- Wed Aug 19 17:04:37 2020 sparse part has weight 524064596 (110.71/col)
- Wed Aug 19 17:04:37 2020 saving the first 48 matrix rows for later
- Wed Aug 19 17:04:38 2020 matrix includes 64 packed rows
- Wed Aug 19 17:04:38 2020 matrix is 4733345 x 4733570 (2091.0 MB) with weight 533815204 (112.77/col)
- Wed Aug 19 17:04:38 2020 sparse part has weight 500809561 (105.80/col)
- Wed Aug 19 17:04:38 2020 using block size 8192 and superblock size 6291456 for processor cache size 65536 kB
- Wed Aug 19 17:04:49 2020 commencing Lanczos iteration (16 threads)
- Wed Aug 19 17:04:49 2020 memory use: 1987.6 MB
- Wed Aug 19 17:04:59 2020 linear algebra at 0.0%, ETA 7h46m
- Wed Aug 19 17:05:02 2020 checkpointing every 610000 dimensions
- Thu Aug 20 00:39:05 2020 lanczos halted after 74852 iterations (dim = 4733341)
- Thu Aug 20 00:39:08 2020 recovered 31 nontrivial dependencies
- Thu Aug 20 00:39:08 2020 BLanczosTime: 27583
- Thu Aug 20 00:39:08 2020
- Thu Aug 20 00:39:08 2020 commencing square root phase
- Thu Aug 20 00:39:08 2020 handling dependencies 1 to 64
- Thu Aug 20 00:39:08 2020 reading relations for dependency 1
- Thu Aug 20 00:39:10 2020 read 2365919 cycles
- Thu Aug 20 00:39:13 2020 cycles contain 7417616 unique relations
- Thu Aug 20 00:39:41 2020 read 7417616 relations
- Thu Aug 20 00:40:00 2020 multiplying 7417616 relations
- Thu Aug 20 00:42:29 2020 multiply complete, coefficients have about 180.76 million bits
- Thu Aug 20 00:42:30 2020 initial square root is modulo 3069397
- Thu Aug 20 00:45:23 2020 GCD is 1, no factor found
- Thu Aug 20 00:45:23 2020 reading relations for dependency 2
- Thu Aug 20 00:45:23 2020 read 2365511 cycles
- Thu Aug 20 00:45:26 2020 cycles contain 7417690 unique relations
- Thu Aug 20 00:45:54 2020 read 7417690 relations
- Thu Aug 20 00:46:13 2020 multiplying 7417690 relations
- Thu Aug 20 00:48:42 2020 multiply complete, coefficients have about 180.78 million bits
- Thu Aug 20 00:48:43 2020 initial square root is modulo 3075209
- Thu Aug 20 00:51:37 2020 sqrtTime: 749
- Thu Aug 20 00:51:37 2020 p57 factor: 306898094953959745998691492463080223702000970268483228387
- Thu Aug 20 00:51:37 2020 p158 factor: 15216574898008198594265248163743357787805864769331649967367117551854117263342078415782629817716878819468513550018264678132735569164522322767079753987248779451
- Thu Aug 20 00:51:37 2020 elapsed time 08:23:43
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