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- Mon Aug 30 21:59:08 2021
- Mon Aug 30 21:59:08 2021
- Mon Aug 30 21:59:08 2021 Msieve v. 1.53 (SVN 988)
- Mon Aug 30 21:59:08 2021 random seeds: d12c5014 4fe7705e
- Mon Aug 30 21:59:08 2021 factoring 312804257296410317683167380007585198741986792806325499743422194164797713448527245453851048616375492570809100035252924225742323268015755893967998537181 (150 digits)
- Mon Aug 30 21:59:09 2021 searching for 15-digit factors
- Mon Aug 30 21:59:10 2021 commencing number field sieve (150-digit input)
- Mon Aug 30 21:59:10 2021 R0: 519211189523980856872429785652927511
- Mon Aug 30 21:59:10 2021 R1: -1
- Mon Aug 30 21:59:10 2021 A0: 1
- Mon Aug 30 21:59:10 2021 A1: 1
- Mon Aug 30 21:59:10 2021 A2: 1
- Mon Aug 30 21:59:10 2021 A3: 1
- Mon Aug 30 21:59:10 2021 A4: 1
- Mon Aug 30 21:59:10 2021 A5: 1
- Mon Aug 30 21:59:10 2021 A6: 1
- Mon Aug 30 21:59:10 2021 skew 1.00, size 1.215e-010, alpha 2.428, combined = 3.844e-012 rroots = 0
- Mon Aug 30 21:59:10 2021
- Mon Aug 30 21:59:10 2021 commencing relation filtering
- Mon Aug 30 21:59:10 2021 setting target matrix density to 100.0
- Mon Aug 30 21:59:10 2021 estimated available RAM is 12041.5 MB
- Mon Aug 30 21:59:10 2021 commencing duplicate removal, pass 1
- Mon Aug 30 21:59:53 2021 error -9 reading relation 3749334
- Mon Aug 30 22:01:59 2021 error -1 reading relation 15139359
- Mon Aug 30 22:05:05 2021 error -15 reading relation 31719770
- Mon Aug 30 22:05:17 2021 error -1 reading relation 32795482
- Mon Aug 30 22:05:30 2021 error -9 reading relation 34041624
- Mon Aug 30 22:05:40 2021 error -15 reading relation 34917142
- Mon Aug 30 22:05:56 2021 error -1 reading relation 36365895
- Mon Aug 30 22:06:29 2021 error -15 reading relation 39336162
- Mon Aug 30 22:06:33 2021 error -1 reading relation 39705000
- Mon Aug 30 22:06:33 2021 error -9 reading relation 39729066
- Mon Aug 30 22:06:40 2021 error -9 reading relation 40373654
- Mon Aug 30 22:06:42 2021 error -1 reading relation 40506094
- Mon Aug 30 22:06:47 2021 error -9 reading relation 40982130
- Mon Aug 30 22:06:51 2021 error -15 reading relation 41337769
- Mon Aug 30 22:06:58 2021 error -9 reading relation 41978977
- Mon Aug 30 22:08:54 2021 error -5 reading relation 52712646
- Mon Aug 30 22:09:15 2021 error -9 reading relation 54662487
- Mon Aug 30 22:09:19 2021 skipped 2 relations with b > 2^32
- Mon Aug 30 22:09:19 2021 skipped 13 relations with composite factors
- Mon Aug 30 22:09:19 2021 found 9102037 hash collisions in 54950784 relations
- Mon Aug 30 22:09:28 2021 added 2438529 free relations
- Mon Aug 30 22:09:28 2021 commencing duplicate removal, pass 2
- Mon Aug 30 22:10:09 2021 found 8288419 duplicates and 49100894 unique relations
- Mon Aug 30 22:10:09 2021 memory use: 330.4 MB
- Mon Aug 30 22:10:09 2021 reading ideals above 720000
- Mon Aug 30 22:10:09 2021 commencing singleton removal, initial pass
- Mon Aug 30 22:20:34 2021 memory use: 1378.0 MB
- Mon Aug 30 22:20:35 2021 reading all ideals from disk
- Mon Aug 30 22:20:38 2021 memory use: 1752.4 MB
- Mon Aug 30 22:20:46 2021 keeping 46713315 ideals with weight <= 200, target excess is 252428
- Mon Aug 30 22:20:53 2021 commencing in-memory singleton removal
- Mon Aug 30 22:21:00 2021 begin with 49100894 relations and 46713315 unique ideals
- Mon Aug 30 22:21:56 2021 reduce to 30299413 relations and 25733119 ideals in 14 passes
- Mon Aug 30 22:21:56 2021 max relations containing the same ideal: 152
- Mon Aug 30 22:22:17 2021 removing 4871414 relations and 3871414 ideals in 1000000 cliques
- Mon Aug 30 22:22:19 2021 commencing in-memory singleton removal
- Mon Aug 30 22:22:23 2021 begin with 25427999 relations and 25733119 unique ideals
- Mon Aug 30 22:22:49 2021 reduce to 24629966 relations and 21028653 ideals in 9 passes
- Mon Aug 30 22:22:49 2021 max relations containing the same ideal: 132
- Mon Aug 30 22:23:06 2021 removing 3885639 relations and 2885639 ideals in 1000000 cliques
- Mon Aug 30 22:23:08 2021 commencing in-memory singleton removal
- Mon Aug 30 22:23:11 2021 begin with 20744327 relations and 21028653 unique ideals
- Mon Aug 30 22:23:32 2021 reduce to 20239755 relations and 17617124 ideals in 9 passes
- Mon Aug 30 22:23:32 2021 max relations containing the same ideal: 116
- Mon Aug 30 22:23:47 2021 removing 3531818 relations and 2531818 ideals in 1000000 cliques
- Mon Aug 30 22:23:48 2021 commencing in-memory singleton removal
- Mon Aug 30 22:23:51 2021 begin with 16707937 relations and 17617124 unique ideals
- Mon Aug 30 22:24:10 2021 reduce to 16227459 relations and 14582107 ideals in 10 passes
- Mon Aug 30 22:24:10 2021 max relations containing the same ideal: 101
- Mon Aug 30 22:24:22 2021 removing 3374205 relations and 2374205 ideals in 1000000 cliques
- Mon Aug 30 22:24:23 2021 commencing in-memory singleton removal
- Mon Aug 30 22:24:25 2021 begin with 12853254 relations and 14582107 unique ideals
- Mon Aug 30 22:24:38 2021 reduce to 12341766 relations and 11666722 ideals in 9 passes
- Mon Aug 30 22:24:38 2021 max relations containing the same ideal: 82
- Mon Aug 30 22:24:47 2021 removing 1553194 relations and 1170967 ideals in 382227 cliques
- Mon Aug 30 22:24:48 2021 commencing in-memory singleton removal
- Mon Aug 30 22:24:49 2021 begin with 10788572 relations and 11666722 unique ideals
- Mon Aug 30 22:24:59 2021 reduce to 10650315 relations and 10353733 ideals in 8 passes
- Mon Aug 30 22:24:59 2021 max relations containing the same ideal: 73
- Mon Aug 30 22:25:09 2021 relations with 0 large ideals: 18251
- Mon Aug 30 22:25:09 2021 relations with 1 large ideals: 5562
- Mon Aug 30 22:25:09 2021 relations with 2 large ideals: 37539
- Mon Aug 30 22:25:09 2021 relations with 3 large ideals: 255106
- Mon Aug 30 22:25:09 2021 relations with 4 large ideals: 951605
- Mon Aug 30 22:25:09 2021 relations with 5 large ideals: 2094180
- Mon Aug 30 22:25:09 2021 relations with 6 large ideals: 2833986
- Mon Aug 30 22:25:09 2021 relations with 7+ large ideals: 4454086
- Mon Aug 30 22:25:09 2021 commencing 2-way merge
- Mon Aug 30 22:25:19 2021 reduce to 6912697 relation sets and 6616115 unique ideals
- Mon Aug 30 22:25:19 2021 commencing full merge
- Mon Aug 30 22:29:24 2021 memory use: 947.5 MB
- Mon Aug 30 22:29:26 2021 found 3284056 cycles, need 3258315
- Mon Aug 30 22:29:26 2021 weight of 3258315 cycles is about 326420529 (100.18/cycle)
- Mon Aug 30 22:29:26 2021 distribution of cycle lengths:
- Mon Aug 30 22:29:26 2021 1 relations: 191339
- Mon Aug 30 22:29:27 2021 2 relations: 237618
- Mon Aug 30 22:29:27 2021 3 relations: 265439
- Mon Aug 30 22:29:27 2021 4 relations: 265124
- Mon Aug 30 22:29:27 2021 5 relations: 262185
- Mon Aug 30 22:29:27 2021 6 relations: 253738
- Mon Aug 30 22:29:27 2021 7 relations: 240864
- Mon Aug 30 22:29:27 2021 8 relations: 224529
- Mon Aug 30 22:29:27 2021 9 relations: 205366
- Mon Aug 30 22:29:27 2021 10+ relations: 1112113
- Mon Aug 30 22:29:27 2021 heaviest cycle: 28 relations
- Mon Aug 30 22:29:29 2021 commencing cycle optimization
- Mon Aug 30 22:29:36 2021 start with 26181068 relations
- Mon Aug 30 22:31:06 2021 pruned 1082654 relations
- Mon Aug 30 22:31:06 2021 memory use: 710.1 MB
- Mon Aug 30 22:31:06 2021 distribution of cycle lengths:
- Mon Aug 30 22:31:06 2021 1 relations: 191339
- Mon Aug 30 22:31:06 2021 2 relations: 242698
- Mon Aug 30 22:31:06 2021 3 relations: 275582
- Mon Aug 30 22:31:06 2021 4 relations: 275031
- Mon Aug 30 22:31:06 2021 5 relations: 274158
- Mon Aug 30 22:31:06 2021 6 relations: 264287
- Mon Aug 30 22:31:06 2021 7 relations: 251796
- Mon Aug 30 22:31:06 2021 8 relations: 233903
- Mon Aug 30 22:31:06 2021 9 relations: 212713
- Mon Aug 30 22:31:06 2021 10+ relations: 1036808
- Mon Aug 30 22:31:06 2021 heaviest cycle: 28 relations
- Mon Aug 30 22:31:12 2021 RelProcTime: 1922
- Mon Aug 30 22:31:12 2021
- Mon Aug 30 22:31:12 2021 commencing linear algebra
- Mon Aug 30 22:31:13 2021 read 3258315 cycles
- Mon Aug 30 22:31:22 2021 cycles contain 10455972 unique relations
- Mon Aug 30 22:33:07 2021 read 10455972 relations
- Mon Aug 30 22:33:33 2021 using 20 quadratic characters above 4294917295
- Mon Aug 30 22:34:42 2021 building initial matrix
- Mon Aug 30 22:37:34 2021 memory use: 1278.6 MB
- Mon Aug 30 22:37:38 2021 read 3258315 cycles
- Mon Aug 30 22:37:39 2021 matrix is 3258136 x 3258315 (1309.4 MB) with weight 374282239 (114.87/col)
- Mon Aug 30 22:37:39 2021 sparse part has weight 307420856 (94.35/col)
- Mon Aug 30 22:38:28 2021 filtering completed in 2 passes
- Mon Aug 30 22:38:29 2021 matrix is 3257936 x 3258115 (1309.4 MB) with weight 374275021 (114.87/col)
- Mon Aug 30 22:38:29 2021 sparse part has weight 307417930 (94.35/col)
- Mon Aug 30 22:38:42 2021 matrix starts at (0, 0)
- Mon Aug 30 22:38:42 2021 matrix is 3257936 x 3258115 (1309.4 MB) with weight 374275021 (114.87/col)
- Mon Aug 30 22:38:42 2021 sparse part has weight 307417930 (94.35/col)
- Mon Aug 30 22:38:42 2021 saving the first 48 matrix rows for later
- Mon Aug 30 22:38:44 2021 matrix includes 64 packed rows
- Mon Aug 30 22:38:45 2021 matrix is 3257888 x 3258115 (1249.3 MB) with weight 316979340 (97.29/col)
- Mon Aug 30 22:38:45 2021 sparse part has weight 294903384 (90.51/col)
- Mon Aug 30 22:38:45 2021 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
- Mon Aug 30 22:39:05 2021 commencing Lanczos iteration (6 threads)
- Mon Aug 30 22:39:05 2021 memory use: 1041.3 MB
- Mon Aug 30 22:39:19 2021 linear algebra at 0.0%, ETA 8h19m
- Mon Aug 30 22:39:23 2021 checkpointing every 410000 dimensions
- Tue Aug 31 06:42:01 2021 lanczos halted after 51520 iterations (dim = 3257885)
- Tue Aug 31 06:42:06 2021 recovered 38 nontrivial dependencies
- Tue Aug 31 06:42:07 2021 BLanczosTime: 29455
- Tue Aug 31 06:42:07 2021
- Tue Aug 31 06:42:07 2021 commencing square root phase
- Tue Aug 31 06:42:07 2021 handling dependencies 1 to 64
- Tue Aug 31 06:42:07 2021 reading relations for dependency 1
- Tue Aug 31 06:42:08 2021 read 1629956 cycles
- Tue Aug 31 06:42:12 2021 cycles contain 5232344 unique relations
- Tue Aug 31 06:43:08 2021 read 5232344 relations
- Tue Aug 31 06:43:44 2021 multiplying 5232344 relations
- Tue Aug 31 06:47:48 2021 multiply complete, coefficients have about 124.59 million bits
- Tue Aug 31 06:47:49 2021 initial square root is modulo 876337003
- Tue Aug 31 06:52:00 2021 sqrtTime: 593
- Tue Aug 31 06:52:00 2021 p70 factor: 5848154131191689267467694179951968309131812767388176684996493674814591
- Tue Aug 31 06:52:00 2021 p80 factor: 53487690351394622212150053021845692715807845271076173219665934912819279028803491
- Tue Aug 31 06:52:00 2021 elapsed time 08:52:52
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