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- Mon Jun 14 07:20:01 2021
- Mon Jun 14 07:20:01 2021
- Mon Jun 14 07:20:01 2021 Msieve v. 1.54 (SVN 1040M)
- Mon Jun 14 07:20:01 2021 random seeds: d8342b90 12908d53
- Mon Jun 14 07:20:01 2021 factoring 1734147512979270320827767012217086906506556317798760101066642797284407332516993027773365157763102197607514963117947733088678302843725492651987691057475083298632139047698473602163355874115229 (190 digits)
- Mon Jun 14 07:20:02 2021 searching for 15-digit factors
- Mon Jun 14 07:20:02 2021 commencing number field sieve (190-digit input)
- Mon Jun 14 07:20:02 2021 R0: -2598343318530561190088419286201562362
- Mon Jun 14 07:20:02 2021 R1: 328301570246391373
- Mon Jun 14 07:20:02 2021 A0: -82717367334817895153685976600674902106038703
- Mon Jun 14 07:20:02 2021 A1: 24230002666061859616959799270512489908
- Mon Jun 14 07:20:02 2021 A2: 2098794365094139007789717181182
- Mon Jun 14 07:20:02 2021 A3: -69148370343514243109752
- Mon Jun 14 07:20:02 2021 A4: -1784626917919455
- Mon Jun 14 07:20:02 2021 A5: 14642100
- Mon Jun 14 07:20:02 2021 skew 34619080.46, size 1.462e-18, alpha -6.843, combined = 2.201e-14 rroots = 5
- Mon Jun 14 07:20:02 2021
- Mon Jun 14 07:20:02 2021 commencing relation filtering
- Mon Jun 14 07:20:02 2021 setting target matrix density to 130.0
- Mon Jun 14 07:20:02 2021 estimated available RAM is 32768.0 MB
- Mon Jun 14 07:20:02 2021 commencing duplicate removal, pass 1
- Mon Jun 14 07:40:24 2021 error -15 reading relation 189759775
- Mon Jun 14 07:40:43 2021 error -15 reading relation 192704261
- Mon Jun 14 07:41:03 2021 error -15 reading relation 195809928
- Mon Jun 14 07:41:37 2021 skipped 2 relations with composite factors
- Mon Jun 14 07:41:37 2021 found 8848719 hash collisions in 201028991 relations
- Mon Jun 14 07:41:58 2021 added 121458 free relations
- Mon Jun 14 07:41:58 2021 commencing duplicate removal, pass 2
- Mon Jun 14 07:42:44 2021 found 7 duplicates and 201150442 unique relations
- Mon Jun 14 07:42:44 2021 memory use: 522.4 MB
- Mon Jun 14 07:42:44 2021 reading ideals above 201129984
- Mon Jun 14 07:42:44 2021 commencing singleton removal, initial pass
- Mon Jun 14 07:57:48 2021 memory use: 3012.0 MB
- Mon Jun 14 07:57:48 2021 reading all ideals from disk
- Mon Jun 14 07:59:14 2021 memory use: 3619.0 MB
- Mon Jun 14 07:59:21 2021 commencing in-memory singleton removal
- Mon Jun 14 07:59:28 2021 begin with 201150442 relations and 161605573 unique ideals
- Mon Jun 14 08:00:34 2021 reduce to 144585557 relations and 100419684 ideals in 13 passes
- Mon Jun 14 08:00:35 2021 max relations containing the same ideal: 47
- Mon Jun 14 08:00:52 2021 reading ideals above 720000
- Mon Jun 14 08:00:52 2021 commencing singleton removal, initial pass
- Mon Jun 14 08:15:33 2021 memory use: 3012.0 MB
- Mon Jun 14 08:15:34 2021 reading all ideals from disk
- Mon Jun 14 08:18:02 2021 memory use: 6225.5 MB
- Mon Jun 14 08:18:15 2021 keeping 121879412 ideals with weight <= 200, target excess is 807073
- Mon Jun 14 08:18:29 2021 commencing in-memory singleton removal
- Mon Jun 14 08:18:40 2021 begin with 144585557 relations and 121879412 unique ideals
- Mon Jun 14 08:19:59 2021 reduce to 144540108 relations and 121833956 ideals in 8 passes
- Mon Jun 14 08:19:59 2021 max relations containing the same ideal: 200
- Mon Jun 14 08:20:56 2021 removing 10431819 relations and 8431819 ideals in 2000000 cliques
- Mon Jun 14 08:21:01 2021 commencing in-memory singleton removal
- Mon Jun 14 08:21:12 2021 begin with 134108289 relations and 121833956 unique ideals
- Mon Jun 14 08:22:25 2021 reduce to 133513512 relations and 112796968 ideals in 8 passes
- Mon Jun 14 08:22:25 2021 max relations containing the same ideal: 198
- Mon Jun 14 08:23:18 2021 removing 8106714 relations and 6106714 ideals in 2000000 cliques
- Mon Jun 14 08:23:23 2021 commencing in-memory singleton removal
- Mon Jun 14 08:23:32 2021 begin with 125406798 relations and 112796968 unique ideals
- Mon Jun 14 08:24:33 2021 reduce to 124998504 relations and 106275740 ideals in 7 passes
- Mon Jun 14 08:24:33 2021 max relations containing the same ideal: 191
- Mon Jun 14 08:25:23 2021 removing 7422998 relations and 5422998 ideals in 2000000 cliques
- Mon Jun 14 08:25:27 2021 commencing in-memory singleton removal
- Mon Jun 14 08:25:36 2021 begin with 117575506 relations and 106275740 unique ideals
- Mon Jun 14 08:26:32 2021 reduce to 117207968 relations and 100479578 ideals in 7 passes
- Mon Jun 14 08:26:32 2021 max relations containing the same ideal: 184
- Mon Jun 14 08:27:28 2021 removing 7092536 relations and 5092536 ideals in 2000000 cliques
- Mon Jun 14 08:27:32 2021 commencing in-memory singleton removal
- Mon Jun 14 08:27:41 2021 begin with 110115432 relations and 100479578 unique ideals
- Mon Jun 14 08:28:34 2021 reduce to 109760135 relations and 95026343 ideals in 7 passes
- Mon Jun 14 08:28:34 2021 max relations containing the same ideal: 177
- Mon Jun 14 08:29:19 2021 removing 6910056 relations and 4910056 ideals in 2000000 cliques
- Mon Jun 14 08:29:23 2021 commencing in-memory singleton removal
- Mon Jun 14 08:29:30 2021 begin with 102850079 relations and 95026343 unique ideals
- Mon Jun 14 08:30:19 2021 reduce to 102492520 relations and 89753073 ideals in 7 passes
- Mon Jun 14 08:30:19 2021 max relations containing the same ideal: 172
- Mon Jun 14 08:31:03 2021 removing 6812275 relations and 4812275 ideals in 2000000 cliques
- Mon Jun 14 08:31:06 2021 commencing in-memory singleton removal
- Mon Jun 14 08:31:13 2021 begin with 95680245 relations and 89753073 unique ideals
- Mon Jun 14 08:31:59 2021 reduce to 95313271 relations and 84567537 ideals in 7 passes
- Mon Jun 14 08:31:59 2021 max relations containing the same ideal: 166
- Mon Jun 14 08:32:40 2021 removing 6767569 relations and 4767569 ideals in 2000000 cliques
- Mon Jun 14 08:32:43 2021 commencing in-memory singleton removal
- Mon Jun 14 08:32:50 2021 begin with 88545702 relations and 84567537 unique ideals
- Mon Jun 14 08:33:31 2021 reduce to 88161069 relations and 79408302 ideals in 7 passes
- Mon Jun 14 08:33:31 2021 max relations containing the same ideal: 153
- Mon Jun 14 08:34:08 2021 removing 6762338 relations and 4762338 ideals in 2000000 cliques
- Mon Jun 14 08:34:11 2021 commencing in-memory singleton removal
- Mon Jun 14 08:34:17 2021 begin with 81398731 relations and 79408302 unique ideals
- Mon Jun 14 08:34:55 2021 reduce to 80985848 relations and 74224993 ideals in 7 passes
- Mon Jun 14 08:34:55 2021 max relations containing the same ideal: 146
- Mon Jun 14 08:35:30 2021 removing 6794405 relations and 4794405 ideals in 2000000 cliques
- Mon Jun 14 08:35:33 2021 commencing in-memory singleton removal
- Mon Jun 14 08:35:38 2021 begin with 74191443 relations and 74224993 unique ideals
- Mon Jun 14 08:36:12 2021 reduce to 73735204 relations and 68965025 ideals in 7 passes
- Mon Jun 14 08:36:12 2021 max relations containing the same ideal: 138
- Mon Jun 14 08:36:44 2021 removing 6866890 relations and 4866890 ideals in 2000000 cliques
- Mon Jun 14 08:36:47 2021 commencing in-memory singleton removal
- Mon Jun 14 08:36:51 2021 begin with 66868314 relations and 68965025 unique ideals
- Mon Jun 14 08:37:22 2021 reduce to 66358929 relations and 63576977 ideals in 7 passes
- Mon Jun 14 08:37:22 2021 max relations containing the same ideal: 127
- Mon Jun 14 08:37:51 2021 removing 6536994 relations and 4691247 ideals in 1845747 cliques
- Mon Jun 14 08:37:54 2021 commencing in-memory singleton removal
- Mon Jun 14 08:37:58 2021 begin with 59821935 relations and 63576977 unique ideals
- Mon Jun 14 08:38:29 2021 reduce to 59308651 relations and 58360409 ideals in 8 passes
- Mon Jun 14 08:38:29 2021 max relations containing the same ideal: 118
- Mon Jun 14 08:38:55 2021 removing 93145 relations and 81108 ideals in 12037 cliques
- Mon Jun 14 08:38:57 2021 commencing in-memory singleton removal
- Mon Jun 14 08:39:01 2021 begin with 59215506 relations and 58360409 unique ideals
- Mon Jun 14 08:39:20 2021 reduce to 59215407 relations and 58279202 ideals in 5 passes
- Mon Jun 14 08:39:20 2021 max relations containing the same ideal: 118
- Mon Jun 14 08:39:29 2021 relations with 0 large ideals: 2857
- Mon Jun 14 08:39:29 2021 relations with 1 large ideals: 3587
- Mon Jun 14 08:39:29 2021 relations with 2 large ideals: 57573
- Mon Jun 14 08:39:29 2021 relations with 3 large ideals: 496174
- Mon Jun 14 08:39:29 2021 relations with 4 large ideals: 2363393
- Mon Jun 14 08:39:29 2021 relations with 5 large ideals: 6893101
- Mon Jun 14 08:39:29 2021 relations with 6 large ideals: 12961904
- Mon Jun 14 08:39:29 2021 relations with 7+ large ideals: 36436818
- Mon Jun 14 08:39:29 2021 commencing 2-way merge
- Mon Jun 14 08:40:07 2021 reduce to 39843755 relation sets and 38907550 unique ideals
- Mon Jun 14 08:40:07 2021 commencing full merge
- Mon Jun 14 08:54:48 2021 memory use: 5083.6 MB
- Mon Jun 14 08:54:58 2021 found 17621416 cycles, need 17609750
- Mon Jun 14 08:54:59 2021 weight of 17609750 cycles is about 2289835103 (130.03/cycle)
- Mon Jun 14 08:54:59 2021 distribution of cycle lengths:
- Mon Jun 14 08:54:59 2021 1 relations: 908183
- Mon Jun 14 08:54:59 2021 2 relations: 1153533
- Mon Jun 14 08:54:59 2021 3 relations: 1288362
- Mon Jun 14 08:54:59 2021 4 relations: 1296870
- Mon Jun 14 08:54:59 2021 5 relations: 1307965
- Mon Jun 14 08:54:59 2021 6 relations: 1281567
- Mon Jun 14 08:54:59 2021 7 relations: 1256467
- Mon Jun 14 08:54:59 2021 8 relations: 1186498
- Mon Jun 14 08:54:59 2021 9 relations: 1114452
- Mon Jun 14 08:54:59 2021 10+ relations: 6815853
- Mon Jun 14 08:54:59 2021 heaviest cycle: 28 relations
- Mon Jun 14 08:55:06 2021 commencing cycle optimization
- Mon Jun 14 08:55:46 2021 start with 153260144 relations
- Mon Jun 14 09:02:08 2021 pruned 7865342 relations
- Mon Jun 14 09:02:08 2021 memory use: 4024.1 MB
- Mon Jun 14 09:02:08 2021 distribution of cycle lengths:
- Mon Jun 14 09:02:08 2021 1 relations: 908183
- Mon Jun 14 09:02:08 2021 2 relations: 1188232
- Mon Jun 14 09:02:08 2021 3 relations: 1351512
- Mon Jun 14 09:02:08 2021 4 relations: 1358927
- Mon Jun 14 09:02:08 2021 5 relations: 1381603
- Mon Jun 14 09:02:08 2021 6 relations: 1351605
- Mon Jun 14 09:02:08 2021 7 relations: 1327802
- Mon Jun 14 09:02:08 2021 8 relations: 1247211
- Mon Jun 14 09:02:08 2021 9 relations: 1166531
- Mon Jun 14 09:02:08 2021 10+ relations: 6328144
- Mon Jun 14 09:02:08 2021 heaviest cycle: 28 relations
- Mon Jun 14 09:03:04 2021 RelProcTime: 6182
- Mon Jun 14 09:03:04 2021
- Mon Jun 14 09:03:04 2021 commencing linear algebra
- Mon Jun 14 09:03:07 2021 read 17609750 cycles
- Mon Jun 14 09:03:44 2021 cycles contain 58698069 unique relations
- Mon Jun 14 09:11:30 2021 read 58698069 relations
- Mon Jun 14 09:13:57 2021 using 20 quadratic characters above 4294917295
- Mon Jun 14 09:17:31 2021 building initial matrix
- Mon Jun 14 09:28:40 2021 memory use: 8328.7 MB
- Mon Jun 14 09:32:22 2021 read 17609750 cycles
- Mon Jun 14 09:32:24 2021 matrix is 17609571 x 17609750 (8888.0 MB) with weight 2686328162 (152.55/col)
- Mon Jun 14 09:32:24 2021 sparse part has weight 2118617099 (120.31/col)
- Mon Jun 14 09:35:53 2021 filtering completed in 2 passes
- Mon Jun 14 09:35:56 2021 matrix is 17609477 x 17609656 (8888.0 MB) with weight 2686324216 (152.55/col)
- Mon Jun 14 09:35:56 2021 sparse part has weight 2118616345 (120.31/col)
- Mon Jun 14 09:40:12 2021 matrix starts at (0, 0)
- Mon Jun 14 09:40:14 2021 matrix is 17609477 x 17609656 (8888.0 MB) with weight 2686324216 (152.55/col)
- Mon Jun 14 09:40:14 2021 sparse part has weight 2118616345 (120.31/col)
- Mon Jun 14 09:40:14 2021 saving the first 48 matrix rows for later
- Mon Jun 14 09:40:16 2021 matrix includes 64 packed rows
- Mon Jun 14 09:40:17 2021 matrix is 17609429 x 17609656 (8676.8 MB) with weight 2322091420 (131.86/col)
- Mon Jun 14 09:40:17 2021 sparse part has weight 2098479932 (119.17/col)
- Mon Jun 14 09:40:17 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
- Mon Jun 14 09:41:32 2021 commencing Lanczos iteration (16 threads)
- Mon Jun 14 09:41:32 2021 memory use: 8243.1 MB
- Mon Jun 14 09:41:56 2021 linear algebra at 0.0%, ETA 74h15m
- Mon Jun 14 09:42:04 2021 checkpointing every 240000 dimensions
- Wed Jun 16 14:39:25 2021
- Wed Jun 16 14:39:25 2021
- Wed Jun 16 14:39:25 2021 Msieve v. 1.54 (SVN 1040M)
- Wed Jun 16 14:39:25 2021 random seeds: e04d3345 c66a0977
- Wed Jun 16 14:39:25 2021 factoring 1734147512979270320827767012217086906506556317798760101066642797284407332516993027773365157763102197607514963117947733088678302843725492651987691057475083298632139047698473602163355874115229 (190 digits)
- Wed Jun 16 14:39:26 2021 searching for 15-digit factors
- Wed Jun 16 14:39:26 2021 commencing number field sieve (190-digit input)
- Wed Jun 16 14:39:26 2021 R0: -2598343318530561190088419286201562362
- Wed Jun 16 14:39:26 2021 R1: 328301570246391373
- Wed Jun 16 14:39:26 2021 A0: -82717367334817895153685976600674902106038703
- Wed Jun 16 14:39:26 2021 A1: 24230002666061859616959799270512489908
- Wed Jun 16 14:39:26 2021 A2: 2098794365094139007789717181182
- Wed Jun 16 14:39:26 2021 A3: -69148370343514243109752
- Wed Jun 16 14:39:26 2021 A4: -1784626917919455
- Wed Jun 16 14:39:26 2021 A5: 14642100
- Wed Jun 16 14:39:26 2021 skew 34619080.46, size 1.462e-18, alpha -6.843, combined = 2.201e-14 rroots = 5
- Wed Jun 16 14:39:26 2021
- Wed Jun 16 14:39:26 2021 commencing linear algebra
- Wed Jun 16 14:42:45 2021 matrix starts at (0, 0)
- Wed Jun 16 14:42:47 2021 matrix is 17609477 x 17609656 (8888.0 MB) with weight 2686324216 (152.55/col)
- Wed Jun 16 14:42:47 2021 sparse part has weight 2118616345 (120.31/col)
- Wed Jun 16 14:42:47 2021 saving the first 48 matrix rows for later
- Wed Jun 16 14:42:49 2021 matrix includes 64 packed rows
- Wed Jun 16 14:42:51 2021 matrix is 17609429 x 17609656 (8676.8 MB) with weight 2322091420 (131.86/col)
- Wed Jun 16 14:42:51 2021 sparse part has weight 2098479932 (119.17/col)
- Wed Jun 16 14:42:51 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
- Wed Jun 16 14:44:03 2021 commencing Lanczos iteration (16 threads)
- Wed Jun 16 14:44:03 2021 memory use: 8243.1 MB
- Wed Jun 16 14:44:19 2021 restarting at iteration 189773 (dim = 12000032)
- Wed Jun 16 14:44:41 2021 linear algebra at 68.2%, ETA 22h30m
- Wed Jun 16 14:44:49 2021 checkpointing every 250000 dimensions
- Thu Jun 17 13:44:51 2021 lanczos halted after 278479 iterations (dim = 17609427)
- Thu Jun 17 13:45:06 2021 recovered 28 nontrivial dependencies
- Thu Jun 17 13:45:13 2021 BLanczosTime: 83147
- Thu Jun 17 13:45:13 2021
- Thu Jun 17 13:45:13 2021 commencing square root phase
- Thu Jun 17 13:45:13 2021 reading relations for dependency 1
- Thu Jun 17 13:45:28 2021 read 8803679 cycles
- Thu Jun 17 13:45:44 2021 cycles contain 29341472 unique relations
- Thu Jun 17 13:58:31 2021 read 29341472 relations
- Thu Jun 17 14:01:08 2021 multiplying 29341472 relations
- Thu Jun 17 14:32:17 2021 multiply complete, coefficients have about 1896.64 million bits
- Thu Jun 17 14:32:27 2021 initial square root is modulo 321967223
- Thu Jun 17 15:06:43 2021 GCD is 1, no factor found
- Thu Jun 17 13:47:35 2021 reading relations for dependency 6
- Thu Jun 17 13:47:38 2021 read 8802170 cycles
- Thu Jun 17 13:47:55 2021 cycles contain 29339816 unique relations
- Thu Jun 17 13:58:31 2021 read 29339816 relations
- Thu Jun 17 14:01:07 2021 multiplying 29339816 relations
- Thu Jun 17 14:32:17 2021 multiply complete, coefficients have about 1896.54 million bits
- Thu Jun 17 14:32:27 2021 initial square root is modulo 321628913
- Thu Jun 17 15:06:30 2021 sqrtTime: 4735
- Thu Jun 17 15:06:30 2021 p65 factor: 20056257140525238827944708795427289880876895721011953040327799961
- Thu Jun 17 15:06:31 2021 p125 factor: 86464164316845011516578941583510410690400548487377387226890875178459259433155440046559329671102907822605900414119512655386789
- Thu Jun 17 15:06:31 2021 elapsed time 01:18:58
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