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- Fri May 5 10:19:46 2023 Msieve v. 1.54 (SVN 03e8738)
- Fri May 5 10:19:46 2023 random seeds: 2b2cba2d 07efe4fd
- Fri May 5 10:19:46 2023 Using 7 OpenMP threads
- Fri May 5 10:19:46 2023 factoring 1412321542739965282009299817395034439352528093620378086219251823478777790106599862423394113221122011749384680132976794099015515584917141527165420339119565006598747593 (166 digits)
- Fri May 5 10:19:46 2023 no P-1/P+1/ECM available, skipping
- Fri May 5 10:19:46 2023 commencing number field sieve (166-digit input)
- Fri May 5 10:19:46 2023 R0: -89313759804578757114168043192375
- Fri May 5 10:19:46 2023 R1: 87496286239113486380609
- Fri May 5 10:19:46 2023 A0: 96024247609409734834098630682360672764
- Fri May 5 10:19:46 2023 A1: 1031923267053219382762012603633096
- Fri May 5 10:19:46 2023 A2: -13074745637157756559834921
- Fri May 5 10:19:46 2023 A3: -62088341431182207369
- Fri May 5 10:19:46 2023 A4: -1921968248250
- Fri May 5 10:19:46 2023 A5: 498960
- Fri May 5 10:19:46 2023 skew 1.00, size 4.775e-16, alpha -6.573, combined = 5.542e-15 rroots = 5
- Fri May 5 10:19:46 2023
- Fri May 5 10:19:46 2023 commencing relation filtering
- Fri May 5 10:19:46 2023 setting target matrix density to 110.0
- Fri May 5 10:19:46 2023 estimated available RAM is 64238.6 MB
- Fri May 5 10:19:46 2023 commencing duplicate removal, pass 1
- Fri May 5 10:21:46 2023 found 2401179 hash collisions in 73448734 relations
- Fri May 5 10:22:06 2023 added 122106 free relations
- Fri May 5 10:22:06 2023 commencing duplicate removal, pass 2
- Fri May 5 10:22:25 2023 found 0 duplicates and 73570840 unique relations
- Fri May 5 10:22:25 2023 memory use: 202.6 MB
- Fri May 5 10:22:25 2023 reading ideals above 720000
- Fri May 5 10:22:25 2023 commencing singleton removal, initial pass
- Fri May 5 10:26:21 2023 memory use: 1506.0 MB
- Fri May 5 10:26:21 2023 reading all ideals from disk
- Fri May 5 10:26:22 2023 memory use: 3365.1 MB
- Fri May 5 10:26:28 2023 keeping 66650812 ideals with weight <= 200, target excess is 374139
- Fri May 5 10:26:37 2023 commencing in-memory singleton removal
- Fri May 5 10:26:40 2023 begin with 73570840 relations and 66650812 unique ideals
- Fri May 5 10:26:58 2023 reduce to 60707661 relations and 53308593 ideals in 12 passes
- Fri May 5 10:26:58 2023 max relations containing the same ideal: 185
- Fri May 5 10:27:19 2023 removing 5778699 relations and 4778699 ideals in 1000000 cliques
- Fri May 5 10:27:22 2023 commencing in-memory singleton removal
- Fri May 5 10:27:23 2023 begin with 54928962 relations and 53308593 unique ideals
- Fri May 5 10:27:34 2023 reduce to 54472301 relations and 48063583 ideals in 9 passes
- Fri May 5 10:27:34 2023 max relations containing the same ideal: 176
- Fri May 5 10:27:54 2023 removing 4486704 relations and 3486704 ideals in 1000000 cliques
- Fri May 5 10:27:56 2023 commencing in-memory singleton removal
- Fri May 5 10:27:57 2023 begin with 49985597 relations and 48063583 unique ideals
- Fri May 5 10:28:06 2023 reduce to 49666688 relations and 44252031 ideals in 8 passes
- Fri May 5 10:28:06 2023 max relations containing the same ideal: 163
- Fri May 5 10:28:24 2023 removing 4123730 relations and 3123730 ideals in 1000000 cliques
- Fri May 5 10:28:26 2023 commencing in-memory singleton removal
- Fri May 5 10:28:28 2023 begin with 45542958 relations and 44252031 unique ideals
- Fri May 5 10:28:35 2023 reduce to 45246638 relations and 40826366 ideals in 7 passes
- Fri May 5 10:28:35 2023 max relations containing the same ideal: 156
- Fri May 5 10:28:51 2023 removing 3961108 relations and 2961108 ideals in 1000000 cliques
- Fri May 5 10:28:53 2023 commencing in-memory singleton removal
- Fri May 5 10:28:54 2023 begin with 41285530 relations and 40826366 unique ideals
- Fri May 5 10:29:01 2023 reduce to 40986229 relations and 37559889 ideals in 8 passes
- Fri May 5 10:29:01 2023 max relations containing the same ideal: 144
- Fri May 5 10:29:16 2023 removing 3889444 relations and 2889444 ideals in 1000000 cliques
- Fri May 5 10:29:17 2023 commencing in-memory singleton removal
- Fri May 5 10:29:18 2023 begin with 37096785 relations and 37559889 unique ideals
- Fri May 5 10:29:24 2023 reduce to 36777865 relations and 34344647 ideals in 7 passes
- Fri May 5 10:29:24 2023 max relations containing the same ideal: 132
- Fri May 5 10:29:39 2023 removing 3869296 relations and 2869296 ideals in 1000000 cliques
- Fri May 5 10:29:40 2023 commencing in-memory singleton removal
- Fri May 5 10:29:41 2023 begin with 32908569 relations and 34344647 unique ideals
- Fri May 5 10:29:48 2023 reduce to 32554186 relations and 31112342 ideals in 9 passes
- Fri May 5 10:29:48 2023 max relations containing the same ideal: 123
- Fri May 5 10:30:01 2023 removing 3893924 relations and 2893924 ideals in 1000000 cliques
- Fri May 5 10:30:02 2023 commencing in-memory singleton removal
- Fri May 5 10:30:03 2023 begin with 28660262 relations and 31112342 unique ideals
- Fri May 5 10:30:08 2023 reduce to 28250730 relations and 27797992 ideals in 7 passes
- Fri May 5 10:30:08 2023 max relations containing the same ideal: 112
- Fri May 5 10:30:19 2023 removing 152207 relations and 133471 ideals in 18736 cliques
- Fri May 5 10:30:20 2023 commencing in-memory singleton removal
- Fri May 5 10:30:21 2023 begin with 28098523 relations and 27797992 unique ideals
- Fri May 5 10:30:24 2023 reduce to 28097969 relations and 27663967 ideals in 5 passes
- Fri May 5 10:30:24 2023 max relations containing the same ideal: 112
- Fri May 5 10:30:30 2023 relations with 0 large ideals: 1292
- Fri May 5 10:30:30 2023 relations with 1 large ideals: 2895
- Fri May 5 10:30:30 2023 relations with 2 large ideals: 49647
- Fri May 5 10:30:30 2023 relations with 3 large ideals: 395368
- Fri May 5 10:30:30 2023 relations with 4 large ideals: 1707250
- Fri May 5 10:30:30 2023 relations with 5 large ideals: 4424318
- Fri May 5 10:30:30 2023 relations with 6 large ideals: 7238969
- Fri May 5 10:30:30 2023 relations with 7+ large ideals: 14278230
- Fri May 5 10:30:30 2023 commencing 2-way merge
- Fri May 5 10:30:45 2023 reduce to 18147327 relation sets and 17713325 unique ideals
- Fri May 5 10:30:45 2023 commencing full merge
- Fri May 5 10:37:31 2023 memory use: 2146.7 MB
- Fri May 5 10:37:33 2023 found 8134815 cycles, need 8119525
- Fri May 5 10:37:35 2023 weight of 8119525 cycles is about 893360775 (110.03/cycle)
- Fri May 5 10:37:35 2023 distribution of cycle lengths:
- Fri May 5 10:37:35 2023 1 relations: 580262
- Fri May 5 10:37:35 2023 2 relations: 633423
- Fri May 5 10:37:35 2023 3 relations: 662309
- Fri May 5 10:37:35 2023 4 relations: 641714
- Fri May 5 10:37:35 2023 5 relations: 624331
- Fri May 5 10:37:35 2023 6 relations: 598787
- Fri May 5 10:37:35 2023 7 relations: 561907
- Fri May 5 10:37:35 2023 8 relations: 528286
- Fri May 5 10:37:35 2023 9 relations: 484132
- Fri May 5 10:37:35 2023 10+ relations: 2804374
- Fri May 5 10:37:35 2023 heaviest cycle: 28 relations
- Fri May 5 10:37:38 2023 commencing cycle optimization
- Fri May 5 10:37:57 2023 start with 65759235 relations
- Fri May 5 10:40:13 2023 pruned 2708503 relations
- Fri May 5 10:40:14 2023 memory use: 1831.5 MB
- Fri May 5 10:40:14 2023 distribution of cycle lengths:
- Fri May 5 10:40:14 2023 1 relations: 580262
- Fri May 5 10:40:14 2023 2 relations: 650868
- Fri May 5 10:40:14 2023 3 relations: 691511
- Fri May 5 10:40:14 2023 4 relations: 667128
- Fri May 5 10:40:14 2023 5 relations: 652609
- Fri May 5 10:40:14 2023 6 relations: 621796
- Fri May 5 10:40:14 2023 7 relations: 584978
- Fri May 5 10:40:14 2023 8 relations: 545991
- Fri May 5 10:40:14 2023 9 relations: 498400
- Fri May 5 10:40:14 2023 10+ relations: 2625982
- Fri May 5 10:40:14 2023 heaviest cycle: 28 relations
- Fri May 5 10:40:28 2023 RelProcTime: 1242
- Fri May 5 10:40:28 2023
- Fri May 5 10:40:28 2023 commencing linear algebra
- Fri May 5 10:40:28 2023 using VBITS=256
- Fri May 5 10:40:29 2023 read 8119525 cycles
- Fri May 5 10:40:47 2023 cycles contain 27811249 unique relations
- Fri May 5 10:41:18 2023 read 27811249 relations
- Fri May 5 10:41:29 2023 using 20 quadratic characters above 4294917295
- Fri May 5 10:41:42 2023 building initial matrix
- Fri May 5 10:47:47 2023 memory use: 3793.0 MB
- Fri May 5 10:47:51 2023 read 8119525 cycles
- Fri May 5 10:47:52 2023 matrix is 8119348 x 8119525 (3552.7 MB) with weight 1091380919 (134.41/col)
- Fri May 5 10:47:52 2023 sparse part has weight 833880783 (102.70/col)
- Fri May 5 10:49:33 2023 filtering completed in 2 passes
- Fri May 5 10:49:35 2023 matrix is 8119087 x 8119264 (3552.7 MB) with weight 1091368598 (134.42/col)
- Fri May 5 10:49:35 2023 sparse part has weight 833877423 (102.70/col)
- Fri May 5 10:49:58 2023 matrix starts at (0, 0)
- Fri May 5 10:49:59 2023 matrix is 8119087 x 8119264 (3552.7 MB) with weight 1091368598 (134.42/col)
- Fri May 5 10:49:59 2023 sparse part has weight 833877423 (102.70/col)
- Fri May 5 10:49:59 2023 saving the first 240 matrix rows for later
- Fri May 5 10:50:01 2023 matrix includes 256 packed rows
- Fri May 5 10:50:04 2023 matrix is 8118847 x 8119264 (3220.8 MB) with weight 762011187 (93.85/col)
- Fri May 5 10:50:04 2023 sparse part has weight 714403738 (87.99/col)
- Fri May 5 10:50:04 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
- Fri May 5 10:50:04 2023 selected card has CUDA arch 8.6
- Fri May 5 10:50:51 2023 commencing Lanczos iteration
- Fri May 5 10:50:52 2023 memory use: 7494.7 MB
- Fri May 5 10:51:15 2023 linear algebra at 0.4%, ETA 1h41m
- Fri May 5 10:51:49 2023 checking every 80000 dimensions, checkpointing every 4880000 dimensions
- Fri May 5 12:30:50 2023 lanczos halted after 31809 iterations (dim = 8118845)
- Fri May 5 12:31:36 2023 recovered 28 nontrivial dependencies
- Fri May 5 12:31:37 2023 BLanczosTime: 6669
- Fri May 5 12:31:37 2023
- Fri May 5 12:31:37 2023 commencing square root phase
- Fri May 5 12:31:37 2023 handling dependencies 1 to 64
- Fri May 5 12:31:37 2023 reading relations for dependency 1
- Fri May 5 12:31:40 2023 read 4059591 cycles
- Fri May 5 12:31:48 2023 cycles contain 13902254 unique relations
- Fri May 5 12:32:11 2023 read 13902254 relations
- Fri May 5 12:33:15 2023 multiplying 13902254 relations
- Fri May 5 12:40:34 2023 multiply complete, coefficients have about 764.68 million bits
- Fri May 5 12:40:36 2023 initial square root is modulo 7249717
- Fri May 5 12:45:49 2023 sqrtTime: 852
- Fri May 5 12:45:49 2023 p70 factor: 1422742846353115529173718265114824568432840971583810133440406762387193
- Fri May 5 12:45:49 2023 p96 factor: 992675202240613658072456564145961483518640358845788923063854300118132440419493448469315876542801
- Fri May 5 12:45:49 2023 elapsed time 02:26:03
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