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- Sun Dec 13 08:11:37 2020
- Sun Dec 13 08:11:37 2020 Msieve v. 1.54 (SVN 1025)
- Sun Dec 13 08:11:37 2020 random seeds: 7606ed76 21feb50a
- Sun Dec 13 08:11:37 2020 factoring 215767330604416944765064173567138078757720077148407704236587411272856642863538712251821347725222733400395671289809448672064627480358189757023727473040930908112588490943533467830138934664744484199843 (198 digits)
- Sun Dec 13 08:11:38 2020 searching for 15-digit factors
- Sun Dec 13 08:11:38 2020 commencing number field sieve (198-digit input)
- Sun Dec 13 08:11:38 2020 R0: 93136471349046652328881000393146641845788362
- Sun Dec 13 08:11:38 2020 R1: -9650723876945534717731
- Sun Dec 13 08:11:38 2020 A0: 1
- Sun Dec 13 08:11:38 2020 A1: 3
- Sun Dec 13 08:11:38 2020 A2: -3
- Sun Dec 13 08:11:38 2020 A3: -4
- Sun Dec 13 08:11:38 2020 A4: 1
- Sun Dec 13 08:11:38 2020 A5: 1
- Sun Dec 13 08:11:38 2020 skew 1.00, size 5.612e-15, alpha 2.379, combined = 2.905e-12 rroots = 5
- Sun Dec 13 08:11:38 2020
- Sun Dec 13 08:11:38 2020 commencing relation filtering
- Sun Dec 13 08:11:38 2020 setting target matrix density to 116.0
- Sun Dec 13 08:11:38 2020 estimated available RAM is 16007.4 MB
- Sun Dec 13 08:11:38 2020 commencing duplicate removal, pass 1
- Sun Dec 13 08:17:22 2020 skipped 4 relations with b > 2^32
- Sun Dec 13 08:17:22 2020 found 2289620 hash collisions in 51136837 relations
- Sun Dec 13 08:17:28 2020 added 2926244 free relations
- Sun Dec 13 08:17:28 2020 commencing duplicate removal, pass 2
- Sun Dec 13 08:17:40 2020 found 0 duplicates and 54063081 unique relations
- Sun Dec 13 08:17:40 2020 memory use: 130.6 MB
- Sun Dec 13 08:17:40 2020 reading ideals above 720000
- Sun Dec 13 08:17:40 2020 commencing singleton removal, initial pass
- Sun Dec 13 08:23:07 2020 memory use: 1378.0 MB
- Sun Dec 13 08:23:07 2020 reading all ideals from disk
- Sun Dec 13 08:23:07 2020 memory use: 1933.9 MB
- Sun Dec 13 08:23:11 2020 keeping 48237274 ideals with weight <= 200, target excess is 282909
- Sun Dec 13 08:23:16 2020 commencing in-memory singleton removal
- Sun Dec 13 08:23:19 2020 begin with 54063081 relations and 48237274 unique ideals
- Sun Dec 13 08:23:57 2020 reduce to 37491969 relations and 30053310 ideals in 13 passes
- Sun Dec 13 08:23:57 2020 max relations containing the same ideal: 165
- Sun Dec 13 08:24:10 2020 removing 4519586 relations and 3519586 ideals in 1000000 cliques
- Sun Dec 13 08:24:11 2020 commencing in-memory singleton removal
- Sun Dec 13 08:24:13 2020 begin with 32972383 relations and 30053310 unique ideals
- Sun Dec 13 08:24:32 2020 reduce to 32429897 relations and 25972886 ideals in 8 passes
- Sun Dec 13 08:24:32 2020 max relations containing the same ideal: 152
- Sun Dec 13 08:24:43 2020 removing 3590668 relations and 2590668 ideals in 1000000 cliques
- Sun Dec 13 08:24:44 2020 commencing in-memory singleton removal
- Sun Dec 13 08:24:46 2020 begin with 28839229 relations and 25972886 unique ideals
- Sun Dec 13 08:25:02 2020 reduce to 28505518 relations and 23037909 ideals in 8 passes
- Sun Dec 13 08:25:02 2020 max relations containing the same ideal: 141
- Sun Dec 13 08:25:12 2020 removing 3283972 relations and 2283972 ideals in 1000000 cliques
- Sun Dec 13 08:25:13 2020 commencing in-memory singleton removal
- Sun Dec 13 08:25:15 2020 begin with 25221546 relations and 23037909 unique ideals
- Sun Dec 13 08:25:27 2020 reduce to 24922461 relations and 20444889 ideals in 7 passes
- Sun Dec 13 08:25:27 2020 max relations containing the same ideal: 129
- Sun Dec 13 08:25:36 2020 removing 3144325 relations and 2144325 ideals in 1000000 cliques
- Sun Dec 13 08:25:36 2020 commencing in-memory singleton removal
- Sun Dec 13 08:25:38 2020 begin with 21778136 relations and 20444889 unique ideals
- Sun Dec 13 08:25:48 2020 reduce to 21483507 relations and 17995259 ideals in 7 passes
- Sun Dec 13 08:25:48 2020 max relations containing the same ideal: 115
- Sun Dec 13 08:25:56 2020 removing 3072087 relations and 2072087 ideals in 1000000 cliques
- Sun Dec 13 08:25:57 2020 commencing in-memory singleton removal
- Sun Dec 13 08:25:58 2020 begin with 18411420 relations and 17995259 unique ideals
- Sun Dec 13 08:26:06 2020 reduce to 18100934 relations and 15599736 ideals in 7 passes
- Sun Dec 13 08:26:06 2020 max relations containing the same ideal: 101
- Sun Dec 13 08:26:13 2020 removing 3028639 relations and 2028639 ideals in 1000000 cliques
- Sun Dec 13 08:26:14 2020 commencing in-memory singleton removal
- Sun Dec 13 08:26:14 2020 begin with 15072295 relations and 15599736 unique ideals
- Sun Dec 13 08:26:22 2020 reduce to 14728162 relations and 13210193 ideals in 8 passes
- Sun Dec 13 08:26:22 2020 max relations containing the same ideal: 87
- Sun Dec 13 08:26:28 2020 removing 3006145 relations and 2006145 ideals in 1000000 cliques
- Sun Dec 13 08:26:28 2020 commencing in-memory singleton removal
- Sun Dec 13 08:26:29 2020 begin with 11722017 relations and 13210193 unique ideals
- Sun Dec 13 08:26:35 2020 reduce to 11312538 relations and 10770203 ideals in 8 passes
- Sun Dec 13 08:26:35 2020 max relations containing the same ideal: 75
- Sun Dec 13 08:26:39 2020 removing 880220 relations and 666060 ideals in 214160 cliques
- Sun Dec 13 08:26:39 2020 commencing in-memory singleton removal
- Sun Dec 13 08:26:40 2020 begin with 10432318 relations and 10770203 unique ideals
- Sun Dec 13 08:26:45 2020 reduce to 10380175 relations and 10051101 ideals in 7 passes
- Sun Dec 13 08:26:45 2020 max relations containing the same ideal: 71
- Sun Dec 13 08:26:50 2020 relations with 0 large ideals: 22156
- Sun Dec 13 08:26:50 2020 relations with 1 large ideals: 3968
- Sun Dec 13 08:26:50 2020 relations with 2 large ideals: 47906
- Sun Dec 13 08:26:50 2020 relations with 3 large ideals: 308366
- Sun Dec 13 08:26:50 2020 relations with 4 large ideals: 1071011
- Sun Dec 13 08:26:50 2020 relations with 5 large ideals: 2193276
- Sun Dec 13 08:26:50 2020 relations with 6 large ideals: 3119181
- Sun Dec 13 08:26:50 2020 relations with 7+ large ideals: 3614311
- Sun Dec 13 08:26:50 2020 commencing 2-way merge
- Sun Dec 13 08:26:55 2020 reduce to 6930410 relation sets and 6601336 unique ideals
- Sun Dec 13 08:26:55 2020 commencing full merge
- Sun Dec 13 08:29:11 2020 memory use: 906.1 MB
- Sun Dec 13 08:29:11 2020 found 3114981 cycles, need 3105536
- Sun Dec 13 08:29:12 2020 weight of 3105536 cycles is about 360520347 (116.09/cycle)
- Sun Dec 13 08:29:12 2020 distribution of cycle lengths:
- Sun Dec 13 08:29:12 2020 1 relations: 125213
- Sun Dec 13 08:29:12 2020 2 relations: 164384
- Sun Dec 13 08:29:12 2020 3 relations: 198202
- Sun Dec 13 08:29:12 2020 4 relations: 211226
- Sun Dec 13 08:29:12 2020 5 relations: 216982
- Sun Dec 13 08:29:12 2020 6 relations: 219951
- Sun Dec 13 08:29:12 2020 7 relations: 216782
- Sun Dec 13 08:29:12 2020 8 relations: 210010
- Sun Dec 13 08:29:12 2020 9 relations: 198550
- Sun Dec 13 08:29:12 2020 10+ relations: 1344236
- Sun Dec 13 08:29:12 2020 heaviest cycle: 28 relations
- Sun Dec 13 08:29:13 2020 commencing cycle optimization
- Sun Dec 13 08:29:18 2020 start with 29103955 relations
- Sun Dec 13 08:30:13 2020 pruned 1482817 relations
- Sun Dec 13 08:30:13 2020 memory use: 729.5 MB
- Sun Dec 13 08:30:13 2020 distribution of cycle lengths:
- Sun Dec 13 08:30:13 2020 1 relations: 125213
- Sun Dec 13 08:30:13 2020 2 relations: 168168
- Sun Dec 13 08:30:13 2020 3 relations: 206307
- Sun Dec 13 08:30:13 2020 4 relations: 220253
- Sun Dec 13 08:30:13 2020 5 relations: 229532
- Sun Dec 13 08:30:13 2020 6 relations: 231632
- Sun Dec 13 08:30:13 2020 7 relations: 230310
- Sun Dec 13 08:30:13 2020 8 relations: 221520
- Sun Dec 13 08:30:13 2020 9 relations: 209911
- Sun Dec 13 08:30:13 2020 10+ relations: 1262690
- Sun Dec 13 08:30:13 2020 heaviest cycle: 28 relations
- Sun Dec 13 08:30:17 2020 RelProcTime: 1119
- Sun Dec 13 08:30:17 2020
- Sun Dec 13 08:30:17 2020 commencing linear algebra
- Sun Dec 13 08:30:18 2020 read 3105536 cycles
- Sun Dec 13 08:30:23 2020 cycles contain 10209048 unique relations
- Sun Dec 13 08:31:13 2020 read 10209048 relations
- Sun Dec 13 08:31:25 2020 using 20 quadratic characters above 4294917295
- Sun Dec 13 08:32:03 2020 building initial matrix
- Sun Dec 13 08:33:38 2020 memory use: 1272.9 MB
- Sun Dec 13 08:33:39 2020 read 3105536 cycles
- Sun Dec 13 08:33:40 2020 matrix is 3105359 x 3105536 (1409.2 MB) with weight 403113924 (129.80/col)
- Sun Dec 13 08:33:40 2020 sparse part has weight 335261763 (107.96/col)
- Sun Dec 13 08:34:08 2020 filtering completed in 2 passes
- Sun Dec 13 08:34:09 2020 matrix is 3105319 x 3105496 (1409.2 MB) with weight 403112634 (129.81/col)
- Sun Dec 13 08:34:09 2020 sparse part has weight 335261427 (107.96/col)
- Sun Dec 13 08:34:15 2020 matrix starts at (0, 0)
- Sun Dec 13 08:34:15 2020 matrix is 3105319 x 3105496 (1409.2 MB) with weight 403112634 (129.81/col)
- Sun Dec 13 08:34:15 2020 sparse part has weight 335261427 (107.96/col)
- Sun Dec 13 08:34:15 2020 saving the first 48 matrix rows for later
- Sun Dec 13 08:34:16 2020 matrix includes 64 packed rows
- Sun Dec 13 08:34:16 2020 matrix is 3105271 x 3105496 (1348.1 MB) with weight 345890855 (111.38/col)
- Sun Dec 13 08:34:16 2020 sparse part has weight 322348598 (103.80/col)
- Sun Dec 13 08:34:16 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
- Sun Dec 13 08:34:25 2020 commencing Lanczos iteration (4 threads)
- Sun Dec 13 08:34:25 2020 memory use: 1274.0 MB
- Sun Dec 13 08:34:35 2020 linear algebra at 0.0%, ETA 5h41m
- Sun Dec 13 08:34:39 2020 checkpointing every 520000 dimensions
- Sun Dec 13 13:29:13 2020 lanczos halted after 49109 iterations (dim = 3105269)
- Sun Dec 13 13:29:16 2020 recovered 34 nontrivial dependencies
- Sun Dec 13 13:29:16 2020 BLanczosTime: 17939
- Sun Dec 13 13:29:16 2020
- Sun Dec 13 13:29:16 2020 commencing square root phase
- Sun Dec 13 13:29:16 2020 handling dependencies 1 to 64
- Sun Dec 13 13:29:16 2020 reading relations for dependency 1
- Sun Dec 13 13:29:16 2020 read 1551646 cycles
- Sun Dec 13 13:29:18 2020 cycles contain 5099888 unique relations
- Sun Dec 13 13:29:45 2020 read 5099888 relations
- Sun Dec 13 13:30:00 2020 multiplying 5099888 relations
- Sun Dec 13 13:31:37 2020 multiply complete, coefficients have about 123.17 million bits
- Sun Dec 13 13:31:37 2020 initial square root is modulo 693344657
- Sun Dec 13 13:33:36 2020 GCD is 1, no factor found
- Sun Dec 13 13:33:36 2020 reading relations for dependency 2
- Sun Dec 13 13:33:36 2020 read 1551871 cycles
- Sun Dec 13 13:33:38 2020 cycles contain 5101848 unique relations
- Sun Dec 13 13:34:05 2020 read 5101848 relations
- Sun Dec 13 13:34:20 2020 multiplying 5101848 relations
- Sun Dec 13 13:35:56 2020 multiply complete, coefficients have about 123.22 million bits
- Sun Dec 13 13:35:57 2020 initial square root is modulo 698414419
- Sun Dec 13 13:37:55 2020 Newton iteration failed to converge
- Sun Dec 13 13:37:55 2020 algebraic square root failed
- Sun Dec 13 13:37:55 2020 reading relations for dependency 3
- Sun Dec 13 13:37:55 2020 read 1555132 cycles
- Sun Dec 13 13:37:57 2020 cycles contain 5106134 unique relations
- Sun Dec 13 13:38:24 2020 read 5106134 relations
- Sun Dec 13 13:38:39 2020 multiplying 5106134 relations
- Sun Dec 13 13:40:15 2020 multiply complete, coefficients have about 123.32 million bits
- Sun Dec 13 13:40:16 2020 initial square root is modulo 710749723
- Sun Dec 13 13:42:14 2020 sqrtTime: 778
- Sun Dec 13 13:42:14 2020 p97 factor: 8248372566223118827967601011613349094493488468170703134948873058581653673870220980959581945390359
- Sun Dec 13 13:42:14 2020 p101 factor: 26158776033951086844650905981150407439270806440663081967260625565699310204824672253097281121417345877
- Sun Dec 13 13:42:14 2020 elapsed time 05:30:37
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