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- Sat Jan 24 09:14:25 2026
- Sat Jan 24 09:14:25 2026
- Sat Jan 24 09:14:25 2026 Msieve v. 1.54 (SVN Unversioned directory)
- Sat Jan 24 09:14:25 2026 random seeds: cef8759f cb9519f5
- Sat Jan 24 09:14:25 2026 Using 8 OpenMP threads
- Sat Jan 24 09:14:25 2026 factoring 16939573480197043095939933441977236559686054871859619452660927937050343100418796260535652883604309196051686977025635189296503667487032871454362609796546801977220871 (164 digits)
- Sat Jan 24 09:14:26 2026 searching for 15-digit factors
- Sat Jan 24 09:14:26 2026 commencing number field sieve (164-digit input)
- Sat Jan 24 09:14:26 2026 R0: -51621555150897348255437447401924
- Sat Jan 24 09:14:26 2026 R1: 311827229529142482247
- Sat Jan 24 09:14:26 2026 A0: 854085024044816642164568467009404839802
- Sat Jan 24 09:14:26 2026 A1: -224510892411077786395251299546659
- Sat Jan 24 09:14:26 2026 A2: -596239987933647454844554722
- Sat Jan 24 09:14:26 2026 A3: 25817774917587346969
- Sat Jan 24 09:14:26 2026 A4: 11103880455630
- Sat Jan 24 09:14:26 2026 A5: 277200
- Sat Jan 24 09:14:26 2026 skew 1.00, size 8.656e-16, alpha -8.191, combined = 6.613e-15 rroots = 5
- Sat Jan 24 09:14:26 2026
- Sat Jan 24 09:14:26 2026 commencing relation filtering
- Sat Jan 24 09:14:26 2026 estimated available RAM is 78540.1 MB
- Sat Jan 24 09:14:26 2026 commencing duplicate removal, pass 1
- Sat Jan 24 09:22:10 2026 error -1 reading relation 174300582
- Sat Jan 24 09:22:38 2026 skipped 25 malformed relations
- Sat Jan 24 09:22:38 2026 found 26148933 hash collisions in 184886888 relations
- Sat Jan 24 09:22:56 2026 added 122215 free relations
- Sat Jan 24 09:22:56 2026 commencing duplicate removal, pass 2
- Sat Jan 24 09:24:25 2026 found 22994230 duplicates and 162014873 unique relations
- Sat Jan 24 09:24:25 2026 memory use: 852.8 MB
- Sat Jan 24 09:24:25 2026 reading ideals above 720000
- Sat Jan 24 09:24:26 2026 commencing singleton removal, initial pass
- Sat Jan 24 09:39:21 2026 memory use: 3012.0 MB
- Sat Jan 24 09:39:21 2026 reading all ideals from disk
- Sat Jan 24 09:39:26 2026 memory use: 7304.2 MB
- Sat Jan 24 09:39:42 2026 keeping 162407427 ideals with weight <= 200, target excess is 850004
- Sat Jan 24 09:40:01 2026 commencing in-memory singleton removal
- Sat Jan 24 09:40:04 2026 begin with 162014873 relations and 162407427 unique ideals
- Sat Jan 24 09:40:37 2026 reduce to 73837545 relations and 61952204 ideals in 20 passes
- Sat Jan 24 09:40:37 2026 max relations containing the same ideal: 123
- Sat Jan 24 09:41:19 2026 removing 11266901 relations and 9266901 ideals in 2000000 cliques
- Sat Jan 24 09:41:23 2026 commencing in-memory singleton removal
- Sat Jan 24 09:41:24 2026 begin with 62570644 relations and 61952204 unique ideals
- Sat Jan 24 09:41:34 2026 reduce to 61296624 relations and 51368229 ideals in 9 passes
- Sat Jan 24 09:41:34 2026 max relations containing the same ideal: 110
- Sat Jan 24 09:42:09 2026 removing 8592652 relations and 6592652 ideals in 2000000 cliques
- Sat Jan 24 09:42:12 2026 commencing in-memory singleton removal
- Sat Jan 24 09:42:13 2026 begin with 52703972 relations and 51368229 unique ideals
- Sat Jan 24 09:42:21 2026 reduce to 51793319 relations and 43835483 ideals in 9 passes
- Sat Jan 24 09:42:21 2026 max relations containing the same ideal: 99
- Sat Jan 24 09:42:49 2026 removing 7811048 relations and 5811048 ideals in 2000000 cliques
- Sat Jan 24 09:42:52 2026 commencing in-memory singleton removal
- Sat Jan 24 09:42:53 2026 begin with 43982271 relations and 43835483 unique ideals
- Sat Jan 24 09:43:00 2026 reduce to 43114377 relations and 37125377 ideals in 9 passes
- Sat Jan 24 09:43:00 2026 max relations containing the same ideal: 86
- Sat Jan 24 09:43:28 2026 removing 7426955 relations and 5426955 ideals in 2000000 cliques
- Sat Jan 24 09:43:32 2026 commencing in-memory singleton removal
- Sat Jan 24 09:43:32 2026 begin with 35687422 relations and 37125377 unique ideals
- Sat Jan 24 09:43:39 2026 reduce to 34781900 relations and 30754894 ideals in 10 passes
- Sat Jan 24 09:43:39 2026 max relations containing the same ideal: 75
- Sat Jan 24 09:43:59 2026 removing 7192005 relations and 5192005 ideals in 2000000 cliques
- Sat Jan 24 09:44:02 2026 commencing in-memory singleton removal
- Sat Jan 24 09:44:02 2026 begin with 27589895 relations and 30754894 unique ideals
- Sat Jan 24 09:44:06 2026 reduce to 26570710 relations and 24491120 ideals in 10 passes
- Sat Jan 24 09:44:06 2026 max relations containing the same ideal: 64
- Sat Jan 24 09:44:23 2026 removing 4407825 relations and 3314240 ideals in 1093585 cliques
- Sat Jan 24 09:44:25 2026 commencing in-memory singleton removal
- Sat Jan 24 09:44:25 2026 begin with 22162885 relations and 24491120 unique ideals
- Sat Jan 24 09:44:28 2026 reduce to 21696227 relations and 20693191 ideals in 9 passes
- Sat Jan 24 09:44:28 2026 max relations containing the same ideal: 55
- Sat Jan 24 09:44:41 2026 removing 135897 relations and 118866 ideals in 17031 cliques
- Sat Jan 24 09:44:42 2026 commencing in-memory singleton removal
- Sat Jan 24 09:44:43 2026 begin with 21560330 relations and 20693191 unique ideals
- Sat Jan 24 09:44:45 2026 reduce to 21559902 relations and 20573897 ideals in 6 passes
- Sat Jan 24 09:44:45 2026 max relations containing the same ideal: 54
- Sat Jan 24 09:44:48 2026 relations with 0 large ideals: 2976
- Sat Jan 24 09:44:48 2026 relations with 1 large ideals: 28774
- Sat Jan 24 09:44:48 2026 relations with 2 large ideals: 345045
- Sat Jan 24 09:44:48 2026 relations with 3 large ideals: 1691771
- Sat Jan 24 09:44:48 2026 relations with 4 large ideals: 4267180
- Sat Jan 24 09:44:48 2026 relations with 5 large ideals: 6117276
- Sat Jan 24 09:44:48 2026 relations with 6 large ideals: 5287629
- Sat Jan 24 09:44:48 2026 relations with 7+ large ideals: 3819251
- Sat Jan 24 09:44:48 2026 commencing 2-way merge
- Sat Jan 24 09:45:04 2026 reduce to 13043630 relation sets and 12057625 unique ideals
- Sat Jan 24 09:45:04 2026 commencing full merge
- Sat Jan 24 09:49:39 2026 memory use: 1493.9 MB
- Sat Jan 24 09:49:42 2026 found 6566371 cycles, need 6433825
- Sat Jan 24 09:49:44 2026 weight of 6433825 cycles is about 579080142 (90.01/cycle)
- Sat Jan 24 09:49:44 2026 distribution of cycle lengths:
- Sat Jan 24 09:49:44 2026 1 relations: 472714
- Sat Jan 24 09:49:44 2026 2 relations: 579935
- Sat Jan 24 09:49:44 2026 3 relations: 627536
- Sat Jan 24 09:49:44 2026 4 relations: 617308
- Sat Jan 24 09:49:44 2026 5 relations: 610325
- Sat Jan 24 09:49:44 2026 6 relations: 576273
- Sat Jan 24 09:49:44 2026 7 relations: 538753
- Sat Jan 24 09:49:44 2026 8 relations: 482589
- Sat Jan 24 09:49:44 2026 9 relations: 420718
- Sat Jan 24 09:49:44 2026 10+ relations: 1507674
- Sat Jan 24 09:49:44 2026 heaviest cycle: 21 relations
- Sat Jan 24 09:49:46 2026 commencing cycle optimization
- Sat Jan 24 09:50:04 2026 start with 42670311 relations
- Sat Jan 24 09:51:35 2026 pruned 1332713 relations
- Sat Jan 24 09:51:36 2026 memory use: 1317.8 MB
- Sat Jan 24 09:51:36 2026 distribution of cycle lengths:
- Sat Jan 24 09:51:36 2026 1 relations: 472714
- Sat Jan 24 09:51:36 2026 2 relations: 594013
- Sat Jan 24 09:51:36 2026 3 relations: 652333
- Sat Jan 24 09:51:36 2026 4 relations: 638074
- Sat Jan 24 09:51:36 2026 5 relations: 633096
- Sat Jan 24 09:51:36 2026 6 relations: 595738
- Sat Jan 24 09:51:36 2026 7 relations: 555566
- Sat Jan 24 09:51:36 2026 8 relations: 492226
- Sat Jan 24 09:51:36 2026 9 relations: 425903
- Sat Jan 24 09:51:36 2026 10+ relations: 1374162
- Sat Jan 24 09:51:36 2026 heaviest cycle: 21 relations
- Sat Jan 24 09:51:50 2026 RelProcTime: 2244
- Sat Jan 24 09:51:50 2026
- Sat Jan 24 09:51:50 2026 commencing linear algebra
- Sat Jan 24 09:51:50 2026 using VBITS=256
- Sat Jan 24 09:51:50 2026 read 6433825 cycles
- Sat Jan 24 09:52:01 2026 cycles contain 20939491 unique relations
- Sat Jan 24 09:52:52 2026 read 20939491 relations
- Sat Jan 24 09:53:00 2026 using 20 quadratic characters above 4294917295
- Sat Jan 24 09:53:13 2026 building initial matrix
- Sat Jan 24 09:58:04 2026 memory use: 2897.1 MB
- Sat Jan 24 09:58:07 2026 read 6433825 cycles
- Sat Jan 24 09:58:08 2026 matrix is 6433646 x 6433825 (2406.3 MB) with weight 748738540 (116.38/col)
- Sat Jan 24 09:58:08 2026 sparse part has weight 553590333 (86.04/col)
- Sat Jan 24 09:59:05 2026 filtering completed in 2 passes
- Sat Jan 24 09:59:07 2026 matrix is 6431978 x 6432157 (2406.1 MB) with weight 748662302 (116.39/col)
- Sat Jan 24 09:59:07 2026 sparse part has weight 553565350 (86.06/col)
- Sat Jan 24 09:59:23 2026 matrix starts at (0, 0)
- Sat Jan 24 09:59:24 2026 matrix is 6431978 x 6432157 (2406.1 MB) with weight 748662302 (116.39/col)
- Sat Jan 24 09:59:24 2026 sparse part has weight 553565350 (86.06/col)
- Sat Jan 24 09:59:24 2026 saving the first 240 matrix rows for later
- Sat Jan 24 09:59:25 2026 matrix includes 256 packed rows
- Sat Jan 24 09:59:26 2026 matrix is 6431738 x 6432157 (2192.1 MB) with weight 504537973 (78.44/col)
- Sat Jan 24 09:59:26 2026 sparse part has weight 471737727 (73.34/col)
- Sat Jan 24 09:59:27 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
- Sat Jan 24 09:59:27 2026 selected card has CUDA arch 12.0
- Sat Jan 24 10:00:00 2026 commencing Lanczos iteration
- Sat Jan 24 10:00:02 2026 memory use: 5218.5 MB
- Sat Jan 24 10:00:18 2026 linear algebra at 0.5%, ETA 0h52m
- Sat Jan 24 10:00:41 2026 checking every 120000 dimensions, checkpointing every 7320000 dimensions
- Sat Jan 24 10:53:26 2026 lanczos halted after 25201 iterations (dim = 6431736)
- Sat Jan 24 10:54:06 2026 recovered 28 nontrivial dependencies
- Sat Jan 24 10:54:07 2026 BLanczosTime: 3737
- Sat Jan 24 10:54:07 2026
- Sat Jan 24 10:54:07 2026 commencing square root phase
- Sat Jan 24 10:54:07 2026 reading relations for dependency 1
- Sat Jan 24 10:54:25 2026 read 3216955 cycles
- Sat Jan 24 10:54:31 2026 cycles contain 10469490 unique relations
- Sat Jan 24 10:57:22 2026 read 10469490 relations
- Sat Jan 24 10:58:15 2026 multiplying 10469490 relations
- Sat Jan 24 10:59:40 2026 multiply complete, coefficients have about 580.43 million bits
- Sat Jan 24 10:59:42 2026 initial square root is modulo 161221
- Sat Jan 24 11:03:18 2026 GCD is 1, no factor found
- Sat Jan 24 11:03:18 2026 reading relations for dependency 2
- Sat Jan 24 11:03:20 2026 read 3216473 cycles
- Sat Jan 24 11:03:26 2026 cycles contain 10471060 unique relations
- Sat Jan 24 11:04:41 2026 read 10471060 relations
- Sat Jan 24 11:05:30 2026 multiplying 10471060 relations
- Sat Jan 24 11:06:58 2026 multiply complete, coefficients have about 580.51 million bits
- Sat Jan 24 11:07:00 2026 initial square root is modulo 161471
- Sat Jan 24 11:10:43 2026 GCD is 1, no factor found
- Sat Jan 24 11:10:43 2026 reading relations for dependency 3
- Sat Jan 24 11:10:44 2026 read 3216786 cycles
- Sat Jan 24 11:10:50 2026 cycles contain 10468760 unique relations
- Sat Jan 24 11:11:19 2026 read 10468760 relations
- Sat Jan 24 11:12:06 2026 multiplying 10468760 relations
- Sat Jan 24 11:13:31 2026 multiply complete, coefficients have about 580.40 million bits
- Sat Jan 24 11:13:33 2026 initial square root is modulo 161221
- Sat Jan 24 11:17:13 2026 GCD is 1, no factor found
- Sat Jan 24 11:17:13 2026 reading relations for dependency 4
- Sat Jan 24 11:17:14 2026 read 3215423 cycles
- Sat Jan 24 11:17:20 2026 cycles contain 10471562 unique relations
- Sat Jan 24 11:17:47 2026 read 10471562 relations
- Sat Jan 24 11:18:36 2026 multiplying 10471562 relations
- Sat Jan 24 11:20:01 2026 multiply complete, coefficients have about 580.54 million bits
- Sat Jan 24 11:20:03 2026 initial square root is modulo 161611
- Sat Jan 24 11:23:33 2026 GCD is N, no factor found
- Sat Jan 24 11:23:33 2026 reading relations for dependency 5
- Sat Jan 24 11:23:34 2026 read 3217449 cycles
- Sat Jan 24 11:23:40 2026 cycles contain 10470912 unique relations
- Sat Jan 24 11:24:08 2026 read 10470912 relations
- Sat Jan 24 11:24:57 2026 multiplying 10470912 relations
- Sat Jan 24 11:26:21 2026 multiply complete, coefficients have about 580.51 million bits
- Sat Jan 24 11:26:23 2026 initial square root is modulo 161459
- Sat Jan 24 11:30:04 2026 GCD is N, no factor found
- Sat Jan 24 11:30:04 2026 reading relations for dependency 6
- Sat Jan 24 11:30:05 2026 read 3217050 cycles
- Sat Jan 24 11:30:11 2026 cycles contain 10474052 unique relations
- Sat Jan 24 11:30:38 2026 read 10474052 relations
- Sat Jan 24 11:31:24 2026 multiplying 10474052 relations
- Sat Jan 24 11:32:48 2026 multiply complete, coefficients have about 580.68 million bits
- Sat Jan 24 11:32:51 2026 initial square root is modulo 162053
- Sat Jan 24 11:36:25 2026 sqrtTime: 2538
- Sat Jan 24 11:36:25 2026 p72 factor: 494031357530491901960306648609939102959284092873460364996067112321373991
- Sat Jan 24 11:36:25 2026 p92 factor: 34288458054307864039941819255906265701843070929807333732903944447656538872247935091871163681
- Sat Jan 24 11:36:25 2026 elapsed time 02:22:00
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