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- Tue Mar 3 16:02:22 2026
- Tue Mar 3 16:02:22 2026
- Tue Mar 3 16:02:22 2026 Msieve v. 1.54 (SVN unknown)
- Tue Mar 3 16:02:22 2026 random seeds: 62b73e90 5a5c9c98
- Tue Mar 3 16:02:22 2026 factoring 19359929587858248818526080602233024825832966002101781992078921606370697186709671575773411743607761560358789631423843802727846294014455124379275803361907060328086349967953718122810258702541128485385071 (200 digits)
- Tue Mar 3 16:02:22 2026 no P-1/P+1/ECM available, skipping
- Tue Mar 3 16:02:22 2026 commencing number field sieve (200-digit input)
- Tue Mar 3 16:02:22 2026 R0: 240511486418621718945012873953076193322
- Tue Mar 3 16:02:22 2026 R1: -15508432751848966861
- Tue Mar 3 16:02:22 2026 A0: -1
- Tue Mar 3 16:02:22 2026 A1: 3
- Tue Mar 3 16:02:22 2026 A2: 6
- Tue Mar 3 16:02:22 2026 A3: -4
- Tue Mar 3 16:02:22 2026 A4: -5
- Tue Mar 3 16:02:22 2026 A5: 1
- Tue Mar 3 16:02:22 2026 A6: 1
- Tue Mar 3 16:02:22 2026 skew 1.37, size 2.436e-11, alpha 3.126, combined = 1.201e-12 rroots = 6
- Tue Mar 3 16:02:22 2026
- Tue Mar 3 16:02:22 2026 commencing relation filtering
- Tue Mar 3 16:02:22 2026 setting target matrix density to 105.0
- Tue Mar 3 16:02:22 2026 estimated available RAM is 95911.2 MB
- Tue Mar 3 16:02:22 2026 commencing duplicate removal, pass 1
- Tue Mar 3 16:04:14 2026 error -5 reading relation 21163798
- Tue Mar 3 16:04:32 2026 error -9 reading relation 24521520
- Tue Mar 3 16:05:35 2026 error -9 reading relation 37337441
- Tue Mar 3 16:06:35 2026 error -9 reading relation 49190204
- Tue Mar 3 16:08:34 2026 error -9 reading relation 74125998
- Tue Mar 3 16:09:18 2026 error -9 reading relation 83266694
- Tue Mar 3 16:09:51 2026 error -9 reading relation 89945127
- Tue Mar 3 16:09:59 2026 error -9 reading relation 91542179
- Tue Mar 3 16:10:15 2026 error -15 reading relation 95177908
- Tue Mar 3 16:10:50 2026 error -15 reading relation 103326558
- Tue Mar 3 16:11:43 2026 error -9 reading relation 115285744
- Tue Mar 3 16:11:45 2026 error -9 reading relation 115780865
- Tue Mar 3 16:12:28 2026 error -15 reading relation 125302202
- Tue Mar 3 16:12:53 2026 skipped 7 relations with b > 2^32
- Tue Mar 3 16:12:53 2026 skipped 9 relations with composite factors
- Tue Mar 3 16:12:53 2026 found 25696104 hash collisions in 131091128 relations
- Tue Mar 3 16:12:59 2026 added 2438358 free relations
- Tue Mar 3 16:12:59 2026 commencing duplicate removal, pass 2
- Tue Mar 3 16:15:49 2026 found 24573223 duplicates and 108956263 unique relations
- Tue Mar 3 16:15:49 2026 memory use: 660.8 MB
- Tue Mar 3 16:15:49 2026 reading ideals above 720000
- Tue Mar 3 16:15:49 2026 commencing singleton removal, initial pass
- Tue Mar 3 16:27:03 2026 memory use: 3012.0 MB
- Tue Mar 3 16:27:03 2026 reading all ideals from disk
- Tue Mar 3 16:27:05 2026 memory use: 4062.1 MB
- Tue Mar 3 16:27:08 2026 keeping 112166560 ideals with weight <= 200, target excess is 561278
- Tue Mar 3 16:27:15 2026 commencing in-memory singleton removal
- Tue Mar 3 16:27:18 2026 begin with 108956263 relations and 112166560 unique ideals
- Tue Mar 3 16:28:33 2026 reduce to 50530385 relations and 45159475 ideals in 18 passes
- Tue Mar 3 16:28:33 2026 max relations containing the same ideal: 123
- Tue Mar 3 16:28:47 2026 removing 6721341 relations and 5721341 ideals in 1000000 cliques
- Tue Mar 3 16:28:49 2026 commencing in-memory singleton removal
- Tue Mar 3 16:28:50 2026 begin with 43809044 relations and 45159475 unique ideals
- Tue Mar 3 16:29:23 2026 reduce to 42962781 relations and 38569540 ideals in 11 passes
- Tue Mar 3 16:29:23 2026 max relations containing the same ideal: 112
- Tue Mar 3 16:29:35 2026 removing 5222754 relations and 4222754 ideals in 1000000 cliques
- Tue Mar 3 16:29:36 2026 commencing in-memory singleton removal
- Tue Mar 3 16:29:37 2026 begin with 37740027 relations and 38569540 unique ideals
- Tue Mar 3 16:30:04 2026 reduce to 37177030 relations and 33770255 ideals in 9 passes
- Tue Mar 3 16:30:04 2026 max relations containing the same ideal: 102
- Tue Mar 3 16:30:14 2026 removing 4761206 relations and 3761206 ideals in 1000000 cliques
- Tue Mar 3 16:30:16 2026 commencing in-memory singleton removal
- Tue Mar 3 16:30:17 2026 begin with 32415824 relations and 33770255 unique ideals
- Tue Mar 3 16:30:45 2026 reduce to 31895095 relations and 29474662 ideals in 11 passes
- Tue Mar 3 16:30:45 2026 max relations containing the same ideal: 90
- Tue Mar 3 16:30:54 2026 removing 4524125 relations and 3524125 ideals in 1000000 cliques
- Tue Mar 3 16:30:55 2026 commencing in-memory singleton removal
- Tue Mar 3 16:30:56 2026 begin with 27370970 relations and 29474662 unique ideals
- Tue Mar 3 16:31:13 2026 reduce to 26834985 relations and 25398887 ideals in 11 passes
- Tue Mar 3 16:31:13 2026 max relations containing the same ideal: 83
- Tue Mar 3 16:31:21 2026 removing 3635753 relations and 2850738 ideals in 785015 cliques
- Tue Mar 3 16:31:22 2026 commencing in-memory singleton removal
- Tue Mar 3 16:31:22 2026 begin with 23199232 relations and 25398887 unique ideals
- Tue Mar 3 16:31:35 2026 reduce to 22803078 relations and 22141258 ideals in 10 passes
- Tue Mar 3 16:31:35 2026 max relations containing the same ideal: 73
- Tue Mar 3 16:31:41 2026 removing 104111 relations and 93374 ideals in 10737 cliques
- Tue Mar 3 16:31:42 2026 commencing in-memory singleton removal
- Tue Mar 3 16:31:42 2026 begin with 22698967 relations and 22141258 unique ideals
- Tue Mar 3 16:31:48 2026 reduce to 22698712 relations and 22047627 ideals in 5 passes
- Tue Mar 3 16:31:48 2026 max relations containing the same ideal: 73
- Tue Mar 3 16:31:51 2026 relations with 0 large ideals: 43004
- Tue Mar 3 16:31:51 2026 relations with 1 large ideals: 11599
- Tue Mar 3 16:31:51 2026 relations with 2 large ideals: 141710
- Tue Mar 3 16:31:51 2026 relations with 3 large ideals: 858125
- Tue Mar 3 16:31:51 2026 relations with 4 large ideals: 2777858
- Tue Mar 3 16:31:51 2026 relations with 5 large ideals: 5272808
- Tue Mar 3 16:31:51 2026 relations with 6 large ideals: 6097281
- Tue Mar 3 16:31:51 2026 relations with 7+ large ideals: 7496327
- Tue Mar 3 16:31:51 2026 commencing 2-way merge
- Tue Mar 3 16:32:00 2026 reduce to 13736952 relation sets and 13085867 unique ideals
- Tue Mar 3 16:32:00 2026 commencing full merge
- Tue Mar 3 16:35:21 2026 memory use: 1781.6 MB
- Tue Mar 3 16:35:22 2026 found 6306692 cycles, need 6288067
- Tue Mar 3 16:35:22 2026 weight of 6288067 cycles is about 660406014 (105.03/cycle)
- Tue Mar 3 16:35:22 2026 distribution of cycle lengths:
- Tue Mar 3 16:35:22 2026 1 relations: 522991
- Tue Mar 3 16:35:22 2026 2 relations: 511856
- Tue Mar 3 16:35:22 2026 3 relations: 501334
- Tue Mar 3 16:35:22 2026 4 relations: 474105
- Tue Mar 3 16:35:22 2026 5 relations: 453492
- Tue Mar 3 16:35:22 2026 6 relations: 429959
- Tue Mar 3 16:35:22 2026 7 relations: 401297
- Tue Mar 3 16:35:22 2026 8 relations: 375957
- Tue Mar 3 16:35:22 2026 9 relations: 347920
- Tue Mar 3 16:35:22 2026 10+ relations: 2269156
- Tue Mar 3 16:35:22 2026 heaviest cycle: 28 relations
- Tue Mar 3 16:35:24 2026 commencing cycle optimization
- Tue Mar 3 16:35:31 2026 start with 52301479 relations
- Tue Mar 3 16:36:45 2026 pruned 1916789 relations
- Tue Mar 3 16:36:45 2026 memory use: 1460.0 MB
- Tue Mar 3 16:36:45 2026 distribution of cycle lengths:
- Tue Mar 3 16:36:45 2026 1 relations: 522991
- Tue Mar 3 16:36:45 2026 2 relations: 521178
- Tue Mar 3 16:36:45 2026 3 relations: 517881
- Tue Mar 3 16:36:45 2026 4 relations: 488845
- Tue Mar 3 16:36:45 2026 5 relations: 470993
- Tue Mar 3 16:36:45 2026 6 relations: 444490
- Tue Mar 3 16:36:45 2026 7 relations: 416675
- Tue Mar 3 16:36:45 2026 8 relations: 387746
- Tue Mar 3 16:36:45 2026 9 relations: 358209
- Tue Mar 3 16:36:45 2026 10+ relations: 2159059
- Tue Mar 3 16:36:45 2026 heaviest cycle: 28 relations
- Tue Mar 3 16:36:50 2026 RelProcTime: 2068
- Tue Mar 3 16:36:50 2026
- Tue Mar 3 16:36:50 2026 commencing linear algebra
- Tue Mar 3 16:36:51 2026 read 6288067 cycles
- Tue Mar 3 16:36:57 2026 cycles contain 22208160 unique relations
- Tue Mar 3 16:38:53 2026 read 22208160 relations
- Tue Mar 3 16:39:17 2026 using 20 quadratic characters above 4294917295
- Tue Mar 3 16:40:13 2026 building initial matrix
- Tue Mar 3 16:42:24 2026 memory use: 2656.1 MB
- Tue Mar 3 16:42:28 2026 read 6288067 cycles
- Tue Mar 3 16:42:28 2026 matrix is 6287890 x 6288067 (2619.5 MB) with weight 742521160 (118.08/col)
- Tue Mar 3 16:42:28 2026 sparse part has weight 623794914 (99.20/col)
- Tue Mar 3 16:43:03 2026 filtering completed in 2 passes
- Tue Mar 3 16:43:04 2026 matrix is 6287389 x 6287566 (2619.4 MB) with weight 742505036 (118.09/col)
- Tue Mar 3 16:43:04 2026 sparse part has weight 623788421 (99.21/col)
- Tue Mar 3 16:43:12 2026 matrix starts at (0, 0)
- Tue Mar 3 16:43:15 2026 matrix is 6287389 x 6287566 (2619.4 MB) with weight 742505036 (118.09/col)
- Tue Mar 3 16:43:15 2026 sparse part has weight 623788421 (99.21/col)
- Tue Mar 3 16:43:15 2026 saving the first 48 matrix rows for later
- Tue Mar 3 16:43:16 2026 matrix includes 64 packed rows
- Tue Mar 3 16:43:17 2026 matrix is 6287341 x 6287566 (2514.7 MB) with weight 635431899 (101.06/col)
- Tue Mar 3 16:43:17 2026 sparse part has weight 596327241 (94.84/col)
- Tue Mar 3 16:43:17 2026 using block size 8192 and superblock size 18874368 for processor cache size 196608 kB
- Tue Mar 3 16:43:35 2026 commencing Lanczos iteration (16 threads)
- Tue Mar 3 16:43:35 2026 memory use: 2416.9 MB
- Tue Mar 3 16:43:40 2026 linear algebra at 0.0%, ETA 5h44m
- Tue Mar 3 16:43:42 2026 checkpointing every 1050000 dimensions
- Tue Mar 3 22:18:12 2026 lanczos halted after 99423 iterations (dim = 6287338)
- Tue Mar 3 22:18:15 2026 recovered 32 nontrivial dependencies
- Tue Mar 3 22:18:15 2026 BLanczosTime: 20485
- Tue Mar 3 22:18:15 2026
- Tue Mar 3 22:18:15 2026 commencing square root phase
- Tue Mar 3 22:18:15 2026 handling dependencies 1 to 64
- Tue Mar 3 22:18:15 2026 reading relations for dependency 1
- Tue Mar 3 22:18:16 2026 read 3145307 cycles
- Tue Mar 3 22:18:20 2026 cycles contain 11105798 unique relations
- Tue Mar 3 22:19:38 2026 read 11105798 relations
- Tue Mar 3 22:20:14 2026 multiplying 11105798 relations
- Tue Mar 3 22:25:25 2026 multiply complete, coefficients have about 267.53 million bits
- Tue Mar 3 22:25:26 2026 initial square root is modulo 63199
- Tue Mar 3 22:30:52 2026 GCD is 1, no factor found
- Tue Mar 3 22:30:52 2026 reading relations for dependency 2
- Tue Mar 3 22:30:53 2026 read 3142288 cycles
- Tue Mar 3 22:30:58 2026 cycles contain 11101532 unique relations
- Tue Mar 3 22:32:39 2026 read 11101532 relations
- Tue Mar 3 22:33:17 2026 multiplying 11101532 relations
- Tue Mar 3 22:38:17 2026 multiply complete, coefficients have about 267.42 million bits
- Tue Mar 3 22:38:18 2026 initial square root is modulo 62927
- Tue Mar 3 22:43:42 2026 sqrtTime: 1527
- Tue Mar 3 22:43:42 2026 p67 factor: 3630882958775254818381441959646277458925812106268472140392294899977
- Tue Mar 3 22:43:42 2026 p133 factor: 5332016979800585729385555377261066646970238297608805476823101939751298730592447633332435588898681055795330688630057844022065000752823
- Tue Mar 3 22:43:42 2026 elapsed time 06:41:20
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