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- Fri Apr 14 10:32:08 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
- Fri Apr 14 10:32:08 2023 random seeds: d4c0fce3 a71ee5f1
- Fri Apr 14 10:32:08 2023 Using 15 OpenMP threads
- Fri Apr 14 10:32:08 2023 factoring 8213853717663566189446329575217977502903289760183172555962829235108026004079519982903463041649208652259277247520430559795496251554876778789379893932293958500867655870082061836794708622694293442363715314432786092350175360969940797656039 (235 digits)
- Fri Apr 14 10:32:09 2023 no P-1/P+1/ECM available, skipping
- Fri Apr 14 10:32:09 2023 commencing number field sieve (235-digit input)
- Fri Apr 14 10:32:09 2023 R0: 4274867218322991660392954359266140071727
- Fri Apr 14 10:32:09 2023 R1: -1
- Fri Apr 14 10:32:09 2023 A0: 1
- Fri Apr 14 10:32:09 2023 A1: 1
- Fri Apr 14 10:32:09 2023 A2: 1
- Fri Apr 14 10:32:09 2023 A3: 1
- Fri Apr 14 10:32:09 2023 A4: 1
- Fri Apr 14 10:32:09 2023 A5: 1
- Fri Apr 14 10:32:09 2023 A6: 1
- Fri Apr 14 10:32:09 2023 skew 1.35, size 9.242e-12, alpha 2.428, combined = 6.052e-13 rroots = 0
- Fri Apr 14 10:32:09 2023
- Fri Apr 14 10:32:09 2023 commencing relation filtering
- Fri Apr 14 10:32:09 2023 setting target matrix density to 110.0
- Fri Apr 14 10:32:09 2023 estimated available RAM is 64238.6 MB
- Fri Apr 14 10:32:09 2023 commencing duplicate removal, pass 1
- Fri Apr 14 10:33:51 2023 skipped 19 relations with b > 2^32
- Fri Apr 14 10:33:51 2023 found 8491156 hash collisions in 140934327 relations
- Fri Apr 14 10:33:55 2023 added 2438534 free relations
- Fri Apr 14 10:33:55 2023 commencing duplicate removal, pass 2
- Fri Apr 14 10:34:19 2023 found 0 duplicates and 143372861 unique relations
- Fri Apr 14 10:34:19 2023 memory use: 426.4 MB
- Fri Apr 14 10:34:19 2023 reading ideals above 720000
- Fri Apr 14 10:34:19 2023 commencing singleton removal, initial pass
- Fri Apr 14 10:38:38 2023 memory use: 3012.0 MB
- Fri Apr 14 10:38:38 2023 reading all ideals from disk
- Fri Apr 14 10:38:39 2023 memory use: 6647.3 MB
- Fri Apr 14 10:38:45 2023 keeping 121681692 ideals with weight <= 200, target excess is 708699
- Fri Apr 14 10:38:52 2023 commencing in-memory singleton removal
- Fri Apr 14 10:38:54 2023 begin with 143372861 relations and 121681692 unique ideals
- Fri Apr 14 10:39:08 2023 reduce to 105444153 relations and 81445005 ideals in 12 passes
- Fri Apr 14 10:39:08 2023 max relations containing the same ideal: 171
- Fri Apr 14 10:39:25 2023 removing 8867812 relations and 6867812 ideals in 2000000 cliques
- Fri Apr 14 10:39:27 2023 commencing in-memory singleton removal
- Fri Apr 14 10:39:29 2023 begin with 96576341 relations and 81445005 unique ideals
- Fri Apr 14 10:39:37 2023 reduce to 95980815 relations and 73967258 ideals in 9 passes
- Fri Apr 14 10:39:37 2023 max relations containing the same ideal: 161
- Fri Apr 14 10:39:53 2023 removing 6980129 relations and 4980129 ideals in 2000000 cliques
- Fri Apr 14 10:39:55 2023 commencing in-memory singleton removal
- Fri Apr 14 10:39:56 2023 begin with 89000686 relations and 73967258 unique ideals
- Fri Apr 14 10:40:02 2023 reduce to 88588691 relations and 68566321 ideals in 7 passes
- Fri Apr 14 10:40:02 2023 max relations containing the same ideal: 153
- Fri Apr 14 10:40:17 2023 removing 6469547 relations and 4469547 ideals in 2000000 cliques
- Fri Apr 14 10:40:19 2023 commencing in-memory singleton removal
- Fri Apr 14 10:40:20 2023 begin with 82119144 relations and 68566321 unique ideals
- Fri Apr 14 10:40:25 2023 reduce to 81749888 relations and 63719419 ideals in 7 passes
- Fri Apr 14 10:40:25 2023 max relations containing the same ideal: 149
- Fri Apr 14 10:40:39 2023 removing 6211964 relations and 4211964 ideals in 2000000 cliques
- Fri Apr 14 10:40:41 2023 commencing in-memory singleton removal
- Fri Apr 14 10:40:42 2023 begin with 75537924 relations and 63719419 unique ideals
- Fri Apr 14 10:40:46 2023 reduce to 75180230 relations and 59141642 ideals in 7 passes
- Fri Apr 14 10:40:46 2023 max relations containing the same ideal: 141
- Fri Apr 14 10:40:59 2023 removing 6061087 relations and 4061087 ideals in 2000000 cliques
- Fri Apr 14 10:41:01 2023 commencing in-memory singleton removal
- Fri Apr 14 10:41:02 2023 begin with 69119143 relations and 59141642 unique ideals
- Fri Apr 14 10:41:06 2023 reduce to 68760013 relations and 54712718 ideals in 6 passes
- Fri Apr 14 10:41:06 2023 max relations containing the same ideal: 132
- Fri Apr 14 10:41:18 2023 removing 5966061 relations and 3966061 ideals in 2000000 cliques
- Fri Apr 14 10:41:19 2023 commencing in-memory singleton removal
- Fri Apr 14 10:41:20 2023 begin with 62793952 relations and 54712718 unique ideals
- Fri Apr 14 10:41:23 2023 reduce to 62422803 relations and 50365922 ideals in 6 passes
- Fri Apr 14 10:41:23 2023 max relations containing the same ideal: 122
- Fri Apr 14 10:41:34 2023 removing 5910231 relations and 3910231 ideals in 2000000 cliques
- Fri Apr 14 10:41:36 2023 commencing in-memory singleton removal
- Fri Apr 14 10:41:37 2023 begin with 56512572 relations and 50365922 unique ideals
- Fri Apr 14 10:41:40 2023 reduce to 56118495 relations and 46050218 ideals in 6 passes
- Fri Apr 14 10:41:40 2023 max relations containing the same ideal: 113
- Fri Apr 14 10:41:50 2023 removing 5885639 relations and 3885639 ideals in 2000000 cliques
- Fri Apr 14 10:41:51 2023 commencing in-memory singleton removal
- Fri Apr 14 10:41:52 2023 begin with 50232856 relations and 46050218 unique ideals
- Fri Apr 14 10:41:55 2023 reduce to 49805708 relations and 41724163 ideals in 7 passes
- Fri Apr 14 10:41:55 2023 max relations containing the same ideal: 104
- Fri Apr 14 10:42:04 2023 removing 5882895 relations and 3882895 ideals in 2000000 cliques
- Fri Apr 14 10:42:05 2023 commencing in-memory singleton removal
- Fri Apr 14 10:42:06 2023 begin with 43922813 relations and 41724163 unique ideals
- Fri Apr 14 10:42:08 2023 reduce to 43445657 relations and 37347551 ideals in 7 passes
- Fri Apr 14 10:42:08 2023 max relations containing the same ideal: 97
- Fri Apr 14 10:42:17 2023 removing 5899600 relations and 3899600 ideals in 2000000 cliques
- Fri Apr 14 10:42:18 2023 commencing in-memory singleton removal
- Fri Apr 14 10:42:19 2023 begin with 37546057 relations and 37347551 unique ideals
- Fri Apr 14 10:42:21 2023 reduce to 36999829 relations and 32879631 ideals in 7 passes
- Fri Apr 14 10:42:21 2023 max relations containing the same ideal: 90
- Fri Apr 14 10:42:28 2023 removing 5940099 relations and 3940100 ideals in 2000000 cliques
- Fri Apr 14 10:42:29 2023 commencing in-memory singleton removal
- Fri Apr 14 10:42:30 2023 begin with 31059730 relations and 32879631 unique ideals
- Fri Apr 14 10:42:31 2023 reduce to 30404806 relations and 28253735 ideals in 8 passes
- Fri Apr 14 10:42:31 2023 max relations containing the same ideal: 77
- Fri Apr 14 10:42:37 2023 removing 4293850 relations and 2964870 ideals in 1328980 cliques
- Fri Apr 14 10:42:38 2023 commencing in-memory singleton removal
- Fri Apr 14 10:42:39 2023 begin with 26110956 relations and 28253735 unique ideals
- Fri Apr 14 10:42:40 2023 reduce to 25651968 relations and 24811621 ideals in 8 passes
- Fri Apr 14 10:42:40 2023 max relations containing the same ideal: 71
- Fri Apr 14 10:42:46 2023 removing 118447 relations and 100191 ideals in 18256 cliques
- Fri Apr 14 10:42:46 2023 commencing in-memory singleton removal
- Fri Apr 14 10:42:46 2023 begin with 25533521 relations and 24811621 unique ideals
- Fri Apr 14 10:42:47 2023 reduce to 25533070 relations and 24710979 ideals in 4 passes
- Fri Apr 14 10:42:47 2023 max relations containing the same ideal: 71
- Fri Apr 14 10:42:49 2023 relations with 0 large ideals: 54340
- Fri Apr 14 10:42:49 2023 relations with 1 large ideals: 15249
- Fri Apr 14 10:42:49 2023 relations with 2 large ideals: 177700
- Fri Apr 14 10:42:49 2023 relations with 3 large ideals: 1027603
- Fri Apr 14 10:42:49 2023 relations with 4 large ideals: 3194891
- Fri Apr 14 10:42:49 2023 relations with 5 large ideals: 5870790
- Fri Apr 14 10:42:49 2023 relations with 6 large ideals: 6709930
- Fri Apr 14 10:42:49 2023 relations with 7+ large ideals: 8482567
- Fri Apr 14 10:42:49 2023 commencing 2-way merge
- Fri Apr 14 10:42:57 2023 reduce to 17210584 relation sets and 16388493 unique ideals
- Fri Apr 14 10:42:57 2023 commencing full merge
- Fri Apr 14 10:47:00 2023 memory use: 2226.0 MB
- Fri Apr 14 10:47:02 2023 found 7916271 cycles, need 7864693
- Fri Apr 14 10:47:03 2023 weight of 7864693 cycles is about 865166675 (110.01/cycle)
- Fri Apr 14 10:47:03 2023 distribution of cycle lengths:
- Fri Apr 14 10:47:03 2023 1 relations: 378722
- Fri Apr 14 10:47:03 2023 2 relations: 500161
- Fri Apr 14 10:47:03 2023 3 relations: 577661
- Fri Apr 14 10:47:03 2023 4 relations: 596128
- Fri Apr 14 10:47:03 2023 5 relations: 609491
- Fri Apr 14 10:47:03 2023 6 relations: 601998
- Fri Apr 14 10:47:03 2023 7 relations: 586872
- Fri Apr 14 10:47:03 2023 8 relations: 553562
- Fri Apr 14 10:47:03 2023 9 relations: 512704
- Fri Apr 14 10:47:03 2023 10+ relations: 2947394
- Fri Apr 14 10:47:03 2023 heaviest cycle: 28 relations
- Fri Apr 14 10:47:04 2023 commencing cycle optimization
- Fri Apr 14 10:47:15 2023 start with 67188571 relations
- Fri Apr 14 10:48:46 2023 pruned 3206932 relations
- Fri Apr 14 10:48:46 2023 memory use: 1750.1 MB
- Fri Apr 14 10:48:46 2023 distribution of cycle lengths:
- Fri Apr 14 10:48:46 2023 1 relations: 378722
- Fri Apr 14 10:48:46 2023 2 relations: 511499
- Fri Apr 14 10:48:46 2023 3 relations: 601530
- Fri Apr 14 10:48:46 2023 4 relations: 621768
- Fri Apr 14 10:48:46 2023 5 relations: 641969
- Fri Apr 14 10:48:46 2023 6 relations: 633305
- Fri Apr 14 10:48:46 2023 7 relations: 619115
- Fri Apr 14 10:48:46 2023 8 relations: 580703
- Fri Apr 14 10:48:46 2023 9 relations: 538619
- Fri Apr 14 10:48:46 2023 10+ relations: 2737463
- Fri Apr 14 10:48:46 2023 heaviest cycle: 28 relations
- Fri Apr 14 10:48:54 2023 RelProcTime: 1005
- Fri Apr 14 10:48:54 2023
- Fri Apr 14 10:48:54 2023 commencing linear algebra
- Fri Apr 14 10:48:54 2023 using VBITS=256
- Fri Apr 14 10:48:54 2023 stopping after matrix build
- Fri Apr 14 10:48:54 2023 read 7864693 cycles
- Fri Apr 14 10:49:04 2023 cycles contain 25114361 unique relations
- Fri Apr 14 10:49:20 2023 read 25114361 relations
- Fri Apr 14 10:49:23 2023 using 20 quadratic characters above 4294917295
- Fri Apr 14 10:49:28 2023 building initial matrix
- Fri Apr 14 10:52:15 2023 memory use: 3101.0 MB
- Fri Apr 14 10:52:17 2023 read 7864693 cycles
- Fri Apr 14 10:52:18 2023 matrix is 7864516 x 7864693 (3414.8 MB) with weight 972121577 (123.61/col)
- Fri Apr 14 10:52:18 2023 sparse part has weight 808650068 (102.82/col)
- Fri Apr 14 10:53:01 2023 filtering completed in 2 passes
- Fri Apr 14 10:53:02 2023 matrix is 7864144 x 7864308 (3414.7 MB) with weight 972108168 (123.61/col)
- Fri Apr 14 10:53:02 2023 sparse part has weight 808644678 (102.82/col)
- Fri Apr 14 10:53:11 2023 BLanczosTime: 257
- Fri Apr 14 10:53:11 2023
- Fri Apr 14 10:53:11 2023 commencing square root phase
- Fri Apr 14 10:53:11 2023 handling dependencies 1 to 64
- Fri Apr 14 10:53:11 2023 reading relations for dependency 1
- Fri Apr 14 10:53:11 2023 error: read_cycles can't open dependency file
- Fri Apr 14 16:26:00 2023
- Fri Apr 14 16:26:00 2023
- Fri Apr 14 16:26:00 2023 Msieve v. 1.54 (SVN 03e8738)
- Fri Apr 14 16:26:00 2023 random seeds: 6813452a c7630f73
- Fri Apr 14 16:26:00 2023 Using 15 OpenMP threads
- Fri Apr 14 16:26:00 2023 factoring 8213853717663566189446329575217977502903289760183172555962829235108026004079519982903463041649208652259277247520430559795496251554876778789379893932293958500867655870082061836794708622694293442363715314432786092350175360969940797656039 (235 digits)
- Fri Apr 14 16:26:01 2023 no P-1/P+1/ECM available, skipping
- Fri Apr 14 16:26:01 2023 commencing number field sieve (235-digit input)
- Fri Apr 14 16:26:01 2023 R0: 4274867218322991660392954359266140071727
- Fri Apr 14 16:26:01 2023 R1: -1
- Fri Apr 14 16:26:01 2023 A0: 1
- Fri Apr 14 16:26:01 2023 A1: 1
- Fri Apr 14 16:26:01 2023 A2: 1
- Fri Apr 14 16:26:01 2023 A3: 1
- Fri Apr 14 16:26:01 2023 A4: 1
- Fri Apr 14 16:26:01 2023 A5: 1
- Fri Apr 14 16:26:01 2023 A6: 1
- Fri Apr 14 16:26:01 2023 skew 1.35, size 9.242e-12, alpha 2.428, combined = 6.052e-13 rroots = 0
- Fri Apr 14 16:26:01 2023
- Fri Apr 14 16:26:01 2023 commencing linear algebra
- Fri Apr 14 16:26:01 2023 using VBITS=256
- Fri Apr 14 16:26:01 2023 skipping matrix build
- Fri Apr 14 16:26:04 2023 matrix starts at (0, 0)
- Fri Apr 14 16:26:05 2023 matrix is 7864144 x 7864308 (3414.7 MB) with weight 972108168 (123.61/col)
- Fri Apr 14 16:26:05 2023 sparse part has weight 808644678 (102.82/col)
- Fri Apr 14 16:26:05 2023 saving the first 240 matrix rows for later
- Fri Apr 14 16:26:07 2023 matrix includes 256 packed rows
- Fri Apr 14 16:26:10 2023 matrix is 7863904 x 7864308 (3138.0 MB) with weight 735780825 (93.56/col)
- Fri Apr 14 16:26:10 2023 sparse part has weight 696772190 (88.60/col)
- Fri Apr 14 16:26:10 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
- Fri Apr 14 16:26:10 2023 selected card has CUDA arch 8.6
- Fri Apr 14 16:26:48 2023 commencing Lanczos iteration
- Fri Apr 14 16:26:49 2023 memory use: 7296.0 MB
- Fri Apr 14 16:27:12 2023 linear algebra at 0.4%, ETA 1h38m
- Fri Apr 14 16:27:45 2023 checking every 80000 dimensions, checkpointing every 4960000 dimensions
- Fri Apr 14 18:02:20 2023 lanczos halted after 30811 iterations (dim = 7863903)
- Fri Apr 14 18:02:59 2023 recovered 37 nontrivial dependencies
- Fri Apr 14 18:02:59 2023 BLanczosTime: 5818
- Fri Apr 14 18:02:59 2023
- Fri Apr 14 18:02:59 2023 commencing square root phase
- Fri Apr 14 18:02:59 2023 handling dependencies 1 to 64
- Fri Apr 14 18:02:59 2023 reading relations for dependency 1
- Fri Apr 14 18:03:00 2023 read 3933908 cycles
- Fri Apr 14 18:03:07 2023 cycles contain 12560778 unique relations
- Fri Apr 14 18:03:44 2023 read 12560778 relations
- Fri Apr 14 18:04:31 2023 multiplying 12560778 relations
- Fri Apr 14 18:08:07 2023 multiply complete, coefficients have about 310.21 million bits
- Fri Apr 14 18:08:08 2023 initial square root is modulo 368273
- Fri Apr 14 18:10:11 2023 GCD is 1, no factor found
- Fri Apr 14 18:10:11 2023 reading relations for dependency 2
- Fri Apr 14 18:10:13 2023 read 3933561 cycles
- Fri Apr 14 18:10:19 2023 cycles contain 12562854 unique relations
- Fri Apr 14 18:10:48 2023 read 12562854 relations
- Fri Apr 14 18:11:35 2023 multiplying 12562854 relations
- Fri Apr 14 18:15:11 2023 multiply complete, coefficients have about 310.26 million bits
- Fri Apr 14 18:15:12 2023 initial square root is modulo 369169
- Fri Apr 14 18:17:02 2023 GCD is 1, no factor found
- Fri Apr 14 18:17:02 2023 reading relations for dependency 3
- Fri Apr 14 18:17:03 2023 read 3932883 cycles
- Fri Apr 14 18:17:08 2023 cycles contain 12554646 unique relations
- Fri Apr 14 18:17:18 2023 read 12554646 relations
- Fri Apr 14 18:17:51 2023 multiplying 12554646 relations
- Fri Apr 14 18:20:38 2023 multiply complete, coefficients have about 310.06 million bits
- Fri Apr 14 18:20:39 2023 initial square root is modulo 366077
- Fri Apr 14 18:22:47 2023 GCD is N, no factor found
- Fri Apr 14 18:22:47 2023 reading relations for dependency 4
- Fri Apr 14 18:22:48 2023 read 3933883 cycles
- Fri Apr 14 18:22:53 2023 cycles contain 12561948 unique relations
- Fri Apr 14 18:23:03 2023 read 12561948 relations
- Fri Apr 14 18:23:42 2023 multiplying 12561948 relations
- Fri Apr 14 18:27:16 2023 multiply complete, coefficients have about 310.24 million bits
- Fri Apr 14 18:27:17 2023 initial square root is modulo 368791
- Fri Apr 14 18:29:18 2023 GCD is 1, no factor found
- Fri Apr 14 18:29:18 2023 reading relations for dependency 5
- Fri Apr 14 18:29:19 2023 read 3933015 cycles
- Fri Apr 14 18:29:26 2023 cycles contain 12559484 unique relations
- Fri Apr 14 18:29:54 2023 read 12559484 relations
- Fri Apr 14 18:30:40 2023 multiplying 12559484 relations
- Fri Apr 14 18:34:16 2023 multiply complete, coefficients have about 310.19 million bits
- Fri Apr 14 18:34:17 2023 initial square root is modulo 368021
- Fri Apr 14 18:36:22 2023 sqrtTime: 2003
- Fri Apr 14 18:36:22 2023 p82 factor: 4880170221458965545820872031398804630769183104899789041980406234737838742800215467
- Fri Apr 14 18:36:22 2023 p154 factor: 1683108036179928485110419812806275191690518464463709534764152715209967769149251304985898723460449169345001150024981382263880605274739166608465106690459317
- Fri Apr 14 18:36:22 2023 elapsed time 02:10:22
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