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- Msieve v. 1.53 (SVN 1005)
- Fri Jul 28 18:48:15 2023
- random seeds: 0c797efc c3183e73
- factoring 1868340775192838943198653575052454708089252434096932808373344639773469186810741847065913546825522924008685745603892304176532555795661230101022399803169551565707 (160 digits)
- searching for 15-digit factors
- commencing number field sieve (160-digit input)
- R0: -4447427740548647371459431352604
- R1: 16074120088128802300511
- A0: 2328005345493910071663802566080439135
- A1: 13725070854400540109583235775684
- A2: 1231632247293277886488841
- A3: -8350245775555850920
- A4: -6734061382596
- A5: 3245760
- skew 1429113.49, size 1.814e-015, alpha -6.837, combined = 1.647e-012 rroots = 3
- commencing relation filtering
- setting target matrix density to 110.0
- estimated available RAM is 16335.2 MB
- commencing duplicate removal, pass 1
- error -15 reading relation 1058189
- error -15 reading relation 1948984
- error -9 reading relation 4997617
- error -9 reading relation 5315229
- error -15 reading relation 7613872
- read 10M relations
- read 20M relations
- error -9 reading relation 25038869
- error -9 reading relation 25292049
- read 30M relations
- error -1 reading relation 38580957
- read 40M relations
- error -15 reading relation 40546407
- error -9 reading relation 43015530
- error -1 reading relation 43015531
- error -15 reading relation 44798032
- read 50M relations
- read 60M relations
- error -15 reading relation 61568342
- read 70M relations
- error -9 reading relation 70294243
- error -9 reading relation 78221892
- read 80M relations
- error -9 reading relation 84659062
- read 90M relations
- error -9 reading relation 96363797
- error -9 reading relation 96378216
- error -15 reading relation 99008296
- read 100M relations
- error -15 reading relation 107543083
- error -1 reading relation 109219133
- read 110M relations
- error -15 reading relation 110350909
- error -15 reading relation 117759936
- read 120M relations
- error -15 reading relation 124444789
- read 130M relations
- error -15 reading relation 133110437
- read 140M relations
- error -1 reading relation 140801308
- error -1 reading relation 140919639
- error -15 reading relation 143377313
- error -9 reading relation 143960630
- error -15 reading relation 144138155
- read 150M relations
- error -15 reading relation 158179458
- read 160M relations
- error -15 reading relation 160715668
- error -1 reading relation 163414608
- error -9 reading relation 164821655
- error -1 reading relation 165020519
- error -9 reading relation 167641329
- read 170M relations
- error -15 reading relation 171559215
- error -1 reading relation 173732711
- error -1 reading relation 173754864
- read 180M relations
- error -9 reading relation 187178716
- error -9 reading relation 189263836
- error -9 reading relation 189279515
- error -9 reading relation 189364693
- error -15 reading relation 189368052
- error -15 reading relation 189498214
- skipped 22 relations with composite factors
- found 29609843 hash collisions in 189542155 relations
- added 121673 free relations
- commencing duplicate removal, pass 2
- found 26961040 duplicates and 162702788 unique relations
- memory use: 852.8 MB
- reading ideals above 67043328
- commencing singleton removal, initial pass
- memory use: 3012.0 MB
- reading all ideals from disk
- memory use: 2833.5 MB
- commencing in-memory singleton removal
- begin with 162702788 relations and 141505978 unique ideals
- reduce to 91690323 relations and 62311340 ideals in 16 passes
- max relations containing the same ideal: 28
- reading ideals above 720000
- commencing singleton removal, initial pass
- memory use: 1506.0 MB
- reading all ideals from disk
- memory use: 3366.9 MB
- keeping 69733596 ideals with weight <= 200, target excess is 487076
- commencing in-memory singleton removal
- begin with 91690324 relations and 69733596 unique ideals
- reduce to 91689172 relations and 69732443 ideals in 6 passes
- max relations containing the same ideal: 200
- removing 9639277 relations and 7639277 ideals in 2000000 cliques
- commencing in-memory singleton removal
- begin with 82049895 relations and 69732443 unique ideals
- reduce to 81306622 relations and 61329878 ideals in 9 passes
- max relations containing the same ideal: 192
- removing 7410431 relations and 5410431 ideals in 2000000 cliques
- commencing in-memory singleton removal
- begin with 73896191 relations and 61329878 unique ideals
- reduce to 73386407 relations and 55397119 ideals in 7 passes
- max relations containing the same ideal: 184
- removing 6780660 relations and 4780660 ideals in 2000000 cliques
- commencing in-memory singleton removal
- begin with 66605747 relations and 55397119 unique ideals
- reduce to 66152119 relations and 50151131 ideals in 8 passes
- max relations containing the same ideal: 171
- removing 6459621 relations and 4459621 ideals in 2000000 cliques
- commencing in-memory singleton removal
- begin with 59692498 relations and 50151131 unique ideals
- reduce to 59261258 relations and 45248335 ideals in 8 passes
- max relations containing the same ideal: 160
- removing 6251441 relations and 4251441 ideals in 2000000 cliques
- commencing in-memory singleton removal
- begin with 53009817 relations and 45248335 unique ideals
- reduce to 52575716 relations and 40549686 ideals in 7 passes
- max relations containing the same ideal: 147
- removing 6112824 relations and 4112824 ideals in 2000000 cliques
- commencing in-memory singleton removal
- begin with 46462892 relations and 40549686 unique ideals
- reduce to 46014955 relations and 35973819 ideals in 7 passes
- max relations containing the same ideal: 137
- removing 6016205 relations and 4016205 ideals in 2000000 cliques
- commencing in-memory singleton removal
- begin with 39998750 relations and 35973819 unique ideals
- reduce to 39521395 relations and 31462303 ideals in 8 passes
- max relations containing the same ideal: 122
- removing 5948627 relations and 3948627 ideals in 2000000 cliques
- commencing in-memory singleton removal
- begin with 33572768 relations and 31462303 unique ideals
- reduce to 33047846 relations and 26965971 ideals in 8 passes
- max relations containing the same ideal: 108
- removing 5898715 relations and 3898715 ideals in 2000000 cliques
- commencing in-memory singleton removal
- begin with 27149131 relations and 26965971 unique ideals
- reduce to 26552866 relations and 22440309 ideals in 7 passes
- max relations containing the same ideal: 91
- removing 5855859 relations and 3855859 ideals in 2000000 cliques
- commencing in-memory singleton removal
- begin with 20697007 relations and 22440309 unique ideals
- reduce to 19987560 relations and 17829347 ideals in 7 passes
- max relations containing the same ideal: 78
- removing 4802062 relations and 3208858 ideals in 1593204 cliques
- commencing in-memory singleton removal
- begin with 15185498 relations and 17829347 unique ideals
- reduce to 14529012 relations and 13918519 ideals in 8 passes
- max relations containing the same ideal: 62
- removing 267434 relations and 221950 ideals in 45484 cliques
- commencing in-memory singleton removal
- begin with 14261578 relations and 13918519 unique ideals
- reduce to 14258458 relations and 13693439 ideals in 5 passes
- max relations containing the same ideal: 62
- relations with 0 large ideals: 1608
- relations with 1 large ideals: 10885
- relations with 2 large ideals: 144972
- relations with 3 large ideals: 808752
- relations with 4 large ideals: 2305510
- relations with 5 large ideals: 3770155
- relations with 6 large ideals: 3776100
- relations with 7+ large ideals: 3440476
- commencing 2-way merge
- reduce to 9071029 relation sets and 8506010 unique ideals
- commencing full merge
- memory use: 1097.5 MB
- found 4306271 cycles, need 4240210
- weight of 4240210 cycles is about 466531139 (110.03/cycle)
- distribution of cycle lengths:
- 1 relations: 144595
- 2 relations: 262090
- 3 relations: 325740
- 4 relations: 349960
- 5 relations: 371295
- 6 relations: 367609
- 7 relations: 358761
- 8 relations: 333069
- 9 relations: 303613
- 10+ relations: 1423478
- heaviest cycle: 24 relations
- commencing cycle optimization
- start with 34044749 relations
- pruned 1474101 relations
- memory use: 941.3 MB
- distribution of cycle lengths:
- 1 relations: 144595
- 2 relations: 269270
- 3 relations: 340786
- 4 relations: 365734
- 5 relations: 391056
- 6 relations: 386967
- 7 relations: 377716
- 8 relations: 348118
- 9 relations: 314510
- 10+ relations: 1301458
- heaviest cycle: 24 relations
- RelProcTime: 7489
- commencing linear algebra
- read 4240210 cycles
- cycles contain 13968211 unique relations
- read 13968211 relations
- using 20 quadratic characters above 4294917295
- building initial matrix
- memory use: 1911.1 MB
- read 4240210 cycles
- matrix is 4240033 x 4240210 (1860.3 MB) with weight 568991909 (134.19/col)
- sparse part has weight 436793825 (103.01/col)
- filtering completed in 2 passes
- matrix is 4239747 x 4239924 (1860.3 MB) with weight 568977020 (134.20/col)
- sparse part has weight 436788085 (103.02/col)
- matrix starts at (0, 0)
- matrix is 4239747 x 4239924 (1860.3 MB) with weight 568977020 (134.20/col)
- sparse part has weight 436788085 (103.02/col)
- saving the first 48 matrix rows for later
- matrix includes 64 packed rows
- matrix is 4239699 x 4239924 (1803.8 MB) with weight 481210608 (113.50/col)
- sparse part has weight 430447798 (101.52/col)
- using block size 8192 and superblock size 589824 for processor cache size 6144 kB
- commencing Lanczos iteration (4 threads)
- memory use: 1480.3 MB
- linear algebra at 0.0%, ETA 10h 3m239924 dimensions (0.0%, ETA 10h 3m)
- checkpointing every 410000 dimensions924 dimensions (0.0%, ETA 10h27m)
- linear algebra completed 4239613 of 4239924 dimensions (100.0%, ETA 0h 0m)
- lanczos halted after 67051 iterations (dim = 4239699)
- recovered 30 nontrivial dependencies
- BLanczosTime: 36129
- commencing square root phase
- handling dependencies 1 to 64
- reading relations for dependency 1
- read 2120068 cycles
- cycles contain 6981696 unique relations
- read 6981696 relations
- multiplying 6981696 relations
- multiply complete, coefficients have about 393.34 million bits
- initial square root is modulo 11421749
- sqrtTime: 1120
- p79 factor: 4567174417179111895640194824879223610999641723825916442055672572674402672177317
- p81 factor: 409080233101062189449330494354897249031599690294646313465320696129567407438658671
- elapsed time 12:25:39
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