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- Sun May 4 04:30:02 2025
- Sun May 4 04:30:02 2025
- Sun May 4 04:30:02 2025 Msieve v. 1.54 (SVN Unversioned directory)
- Sun May 4 04:30:02 2025 random seeds: 3786add7 235a49cb
- Sun May 4 04:30:02 2025 MPI process 0 of 1
- Sun May 4 04:30:02 2025 Using 32 OpenMP threads
- Sun May 4 04:30:02 2025 factoring 2005954108806900137367009346662638379956099864398119907546877945676695873140671330465573517658352021610814266805976228120913323911404267200997400178120980650542004017541462535741 (178 digits)
- Sun May 4 04:30:03 2025 searching for 15-digit factors
- Sun May 4 04:30:03 2025 commencing number field sieve (178-digit input)
- Sun May 4 04:30:03 2025 R0: -13733126175802602293723189609483709
- Sun May 4 04:30:03 2025 R1: 689667328419764237
- Sun May 4 04:30:03 2025 A0: -1461947355394426845553204883737164260637050
- Sun May 4 04:30:03 2025 A1: 1013007455109385011757468986197071625
- Sun May 4 04:30:03 2025 A2: 19103598234520620552712724718
- Sun May 4 04:30:03 2025 A3: -6544964651513749824944
- Sun May 4 04:30:03 2025 A4: -55115439939892
- Sun May 4 04:30:03 2025 A5: 4106520
- Sun May 4 04:30:03 2025 skew 21302112.69, size 2.133e-17, alpha -6.974, combined = 1.128e-13 rroots = 5
- Sun May 4 04:30:03 2025
- Sun May 4 04:30:03 2025 commencing relation filtering
- Sun May 4 04:30:03 2025 setting target matrix density to 120.0
- Sun May 4 04:30:03 2025 estimated available RAM is 257736.5 MB
- Sun May 4 04:30:04 2025 commencing duplicate removal, pass 1
- Sun May 4 04:30:55 2025 error -1 reading relation 21532745
- Sun May 4 04:31:01 2025 error -1 reading relation 23795954
- Sun May 4 04:32:06 2025 error -1 reading relation 51744479
- Sun May 4 04:32:09 2025 error -1 reading relation 52904077
- Sun May 4 04:32:09 2025 error -1 reading relation 53014297
- Sun May 4 04:33:16 2025 error -1 reading relation 81393944
- Sun May 4 04:38:16 2025 error -1 reading relation 209607104
- Sun May 4 04:38:16 2025 error -1 reading relation 209717389
- Sun May 4 04:39:50 2025 error -1 reading relation 249958053
- Sun May 4 04:40:53 2025 error -1 reading relation 276684312
- Sun May 4 04:41:11 2025 error -1 reading relation 284600174
- Sun May 4 04:41:42 2025 error -1 reading relation 297487024
- Sun May 4 04:42:16 2025 error -1 reading relation 312020666
- Sun May 4 04:42:45 2025 error -1 reading relation 324310053
- Sun May 4 04:43:36 2025 error -1 reading relation 345912686
- Sun May 4 04:43:57 2025 error -1 reading relation 354876350
- Sun May 4 04:43:57 2025 error -1 reading relation 355039972
- Sun May 4 04:44:00 2025 error -1 reading relation 356181886
- Sun May 4 04:44:04 2025 error -1 reading relation 357964313
- Sun May 4 04:44:15 2025 error -1 reading relation 362442880
- Sun May 4 04:44:31 2025 skipped 2 relations with composite factors
- Sun May 4 04:44:31 2025 skipped 146 malformed relations
- Sun May 4 04:44:31 2025 found 76286063 hash collisions in 369200375 relations
- Sun May 4 04:45:01 2025 added 122411 free relations
- Sun May 4 04:45:01 2025 commencing duplicate removal, pass 2
- Sun May 4 04:53:41 2025 found 79912517 duplicates and 289410269 unique relations
- Sun May 4 04:53:41 2025 memory use: 2643.0 MB
- Sun May 4 04:53:41 2025 reading ideals above 720000
- Sun May 4 04:53:41 2025 commencing singleton removal, initial pass
- Sun May 4 05:18:01 2025 memory use: 6024.0 MB
- Sun May 4 05:18:01 2025 reading all ideals from disk
- Sun May 4 05:18:07 2025 memory use: 13955.1 MB
- Sun May 4 05:18:47 2025 keeping 296799597 ideals with weight <= 200, target excess is 1490903
- Sun May 4 05:19:37 2025 commencing in-memory singleton removal
- Sun May 4 05:19:44 2025 begin with 289410269 relations and 296799597 unique ideals
- Sun May 4 05:20:13 2025 reduce to 140483824 relations and 127644407 ideals in 20 passes
- Sun May 4 05:20:13 2025 max relations containing the same ideal: 130
- Sun May 4 05:21:19 2025 removing 15416776 relations and 13416776 ideals in 2000000 cliques
- Sun May 4 05:21:25 2025 commencing in-memory singleton removal
- Sun May 4 05:21:27 2025 begin with 125067048 relations and 127644407 unique ideals
- Sun May 4 05:21:37 2025 reduce to 123637025 relations and 112769806 ideals in 10 passes
- Sun May 4 05:21:37 2025 max relations containing the same ideal: 121
- Sun May 4 05:22:41 2025 removing 11687006 relations and 9687006 ideals in 2000000 cliques
- Sun May 4 05:22:47 2025 commencing in-memory singleton removal
- Sun May 4 05:22:49 2025 begin with 111950019 relations and 112769806 unique ideals
- Sun May 4 05:22:59 2025 reduce to 110985386 relations and 102101677 ideals in 12 passes
- Sun May 4 05:22:59 2025 max relations containing the same ideal: 113
- Sun May 4 05:23:49 2025 removing 10588419 relations and 8588419 ideals in 2000000 cliques
- Sun May 4 05:23:53 2025 commencing in-memory singleton removal
- Sun May 4 05:23:55 2025 begin with 100396967 relations and 102101677 unique ideals
- Sun May 4 05:24:03 2025 reduce to 99500369 relations and 92601157 ideals in 10 passes
- Sun May 4 05:24:03 2025 max relations containing the same ideal: 103
- Sun May 4 05:24:47 2025 removing 10074632 relations and 8074632 ideals in 2000000 cliques
- Sun May 4 05:24:51 2025 commencing in-memory singleton removal
- Sun May 4 05:24:52 2025 begin with 89425737 relations and 92601157 unique ideals
- Sun May 4 05:24:59 2025 reduce to 88510825 relations and 83594338 ideals in 10 passes
- Sun May 4 05:24:59 2025 max relations containing the same ideal: 96
- Sun May 4 05:25:38 2025 removing 9829240 relations and 7829240 ideals in 2000000 cliques
- Sun May 4 05:25:41 2025 commencing in-memory singleton removal
- Sun May 4 05:25:43 2025 begin with 78681585 relations and 83594338 unique ideals
- Sun May 4 05:25:48 2025 reduce to 77681125 relations and 74743867 ideals in 9 passes
- Sun May 4 05:25:48 2025 max relations containing the same ideal: 89
- Sun May 4 05:26:24 2025 removing 6616391 relations and 5408581 ideals in 1207810 cliques
- Sun May 4 05:26:27 2025 commencing in-memory singleton removal
- Sun May 4 05:26:28 2025 begin with 71064734 relations and 74743867 unique ideals
- Sun May 4 05:26:33 2025 reduce to 70570341 relations and 68833697 ideals in 10 passes
- Sun May 4 05:26:33 2025 max relations containing the same ideal: 86
- Sun May 4 05:27:24 2025 relations with 0 large ideals: 5127
- Sun May 4 05:27:24 2025 relations with 1 large ideals: 33629
- Sun May 4 05:27:24 2025 relations with 2 large ideals: 452353
- Sun May 4 05:27:24 2025 relations with 3 large ideals: 2709232
- Sun May 4 05:27:24 2025 relations with 4 large ideals: 8822086
- Sun May 4 05:27:24 2025 relations with 5 large ideals: 17024926
- Sun May 4 05:27:24 2025 relations with 6 large ideals: 20001770
- Sun May 4 05:27:24 2025 relations with 7+ large ideals: 21521218
- Sun May 4 05:27:24 2025 commencing 2-way merge
- Sun May 4 05:28:13 2025 reduce to 42113431 relation sets and 40376788 unique ideals
- Sun May 4 05:28:13 2025 ignored 1 oversize relation sets
- Sun May 4 05:28:13 2025 commencing full merge
- Sun May 4 05:41:33 2025 memory use: 4280.0 MB
- Sun May 4 05:41:36 2025 found 17954638 cycles, need 17902988
- Sun May 4 05:41:42 2025 weight of 17902988 cycles is about 2149003594 (120.04/cycle)
- Sun May 4 05:41:42 2025 distribution of cycle lengths:
- Sun May 4 05:41:42 2025 1 relations: 1386311
- Sun May 4 05:41:42 2025 2 relations: 1300530
- Sun May 4 05:41:42 2025 3 relations: 1360873
- Sun May 4 05:41:42 2025 4 relations: 1309795
- Sun May 4 05:41:42 2025 5 relations: 1279723
- Sun May 4 05:41:42 2025 6 relations: 1225846
- Sun May 4 05:41:42 2025 7 relations: 1155180
- Sun May 4 05:41:42 2025 8 relations: 1089124
- Sun May 4 05:41:42 2025 9 relations: 1003484
- Sun May 4 05:41:42 2025 10+ relations: 6792122
- Sun May 4 05:41:42 2025 heaviest cycle: 28 relations
- Sun May 4 05:41:45 2025 commencing cycle optimization
- Sun May 4 05:42:18 2025 start with 153509781 relations
- Sun May 4 05:47:08 2025 pruned 5182222 relations
- Sun May 4 05:47:08 2025 memory use: 4423.4 MB
- Sun May 4 05:47:08 2025 distribution of cycle lengths:
- Sun May 4 05:47:08 2025 1 relations: 1386311
- Sun May 4 05:47:08 2025 2 relations: 1334822
- Sun May 4 05:47:08 2025 3 relations: 1413249
- Sun May 4 05:47:08 2025 4 relations: 1352784
- Sun May 4 05:47:08 2025 5 relations: 1326771
- Sun May 4 05:47:08 2025 6 relations: 1264838
- Sun May 4 05:47:08 2025 7 relations: 1192262
- Sun May 4 05:47:08 2025 8 relations: 1115349
- Sun May 4 05:47:08 2025 9 relations: 1027373
- Sun May 4 05:47:08 2025 10+ relations: 6489229
- Sun May 4 05:47:08 2025 heaviest cycle: 28 relations
- Sun May 4 05:47:31 2025 RelProcTime: 4648
- Sun May 4 05:47:35 2025
- Sun May 4 05:47:35 2025 commencing linear algebra
- Sun May 4 05:47:35 2025 using VBITS=256
- Sun May 4 05:47:35 2025 stopping after matrix build
- Sun May 4 05:47:35 2025 initialized process (0,0) of 1 x 1 grid
- Sun May 4 05:47:36 2025 read 17902988 cycles
- Sun May 4 05:48:06 2025 cycles contain 69062830 unique relations
- Sun May 4 05:53:26 2025 read 69062830 relations
- Sun May 4 05:53:35 2025 using 20 quadratic characters above 4294917295
- Sun May 4 05:53:44 2025 building initial matrix
- Sun May 4 06:05:31 2025 memory use: 9260.9 MB
- Sun May 4 06:05:44 2025 read 17902988 cycles
- Sun May 4 06:05:46 2025 matrix is 17902809 x 17902988 (8543.5 MB) with weight 2577835842 (143.99/col)
- Sun May 4 06:05:46 2025 sparse part has weight 2024788282 (113.10/col)
- Sun May 4 06:10:20 2025 filtering completed in 2 passes
- Sun May 4 06:10:24 2025 matrix is 17900366 x 17900543 (8543.2 MB) with weight 2577716579 (144.00/col)
- Sun May 4 06:10:24 2025 sparse part has weight 2024750877 (113.11/col)
- Sun May 4 06:12:05 2025 BLanczosTime: 1470
- Sun May 4 06:12:05 2025 elapsed time 01:42:03
- Sun May 4 09:43:32 2025
- Sun May 4 09:43:32 2025
- Sun May 4 09:43:32 2025 Msieve v. 1.54 (SVN Unversioned directory)
- Sun May 4 09:43:32 2025 random seeds: 09641c72 2cef0f70
- Sun May 4 09:43:32 2025 Using 96 OpenMP threads
- Sun May 4 09:43:32 2025 factoring 2005954108806900137367009346662638379956099864398119907546877945676695873140671330465573517658352021610814266805976228120913323911404267200997400178120980650542004017541462535741 (178 digits)
- Sun May 4 09:43:33 2025 searching for 15-digit factors
- Sun May 4 09:43:34 2025 commencing number field sieve (178-digit input)
- Sun May 4 09:43:34 2025 R0: -13733126175802602293723189609483709
- Sun May 4 09:43:34 2025 R1: 689667328419764237
- Sun May 4 09:43:34 2025 A0: -1461947355394426845553204883737164260637050
- Sun May 4 09:43:34 2025 A1: 1013007455109385011757468986197071625
- Sun May 4 09:43:34 2025 A2: 19103598234520620552712724718
- Sun May 4 09:43:34 2025 A3: -6544964651513749824944
- Sun May 4 09:43:34 2025 A4: -55115439939892
- Sun May 4 09:43:34 2025 A5: 4106520
- Sun May 4 09:43:34 2025 skew 21302112.69, size 2.133e-17, alpha -6.974, combined = 1.128e-13 rroots = 5
- Sun May 4 09:43:34 2025
- Sun May 4 09:43:34 2025 commencing linear algebra
- Sun May 4 09:43:34 2025 using VBITS=256
- Sun May 4 09:43:34 2025 skipping matrix build
- Sun May 4 09:43:40 2025 matrix starts at (0, 0)
- Sun May 4 09:43:44 2025 matrix is 17900366 x 17900543 (8543.2 MB) with weight 2577716579 (144.00/col)
- Sun May 4 09:43:44 2025 sparse part has weight 2024750877 (113.11/col)
- Sun May 4 09:43:44 2025 saving the first 240 matrix rows for later
- Sun May 4 09:43:49 2025 matrix includes 256 packed rows
- Sun May 4 09:43:57 2025 matrix is 17900126 x 17900543 (7762.7 MB) with weight 1855150469 (103.64/col)
- Sun May 4 09:43:57 2025 sparse part has weight 1748537959 (97.68/col)
- Sun May 4 09:43:57 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
- Sun May 4 09:45:05 2025 commencing Lanczos iteration (96 threads)
- Sun May 4 09:45:05 2025 memory use: 10677.0 MB
- Sun May 4 09:47:26 2025 linear algebra at 0.2%, ETA 21h13m
- Sun May 4 09:50:40 2025 checking every 10000 dimensions, checkpointing every 860000 dimensions
- Mon May 5 06:19:16 2025 lanczos halted after 70133 iterations (dim = 17900126)
- Mon May 5 06:20:33 2025 recovered 30 nontrivial dependencies
- Mon May 5 06:20:36 2025 BLanczosTime: 74222
- Mon May 5 06:20:36 2025
- Mon May 5 06:20:36 2025 commencing square root phase
- Mon May 5 06:20:36 2025 handling dependencies 1 to 64
- Mon May 5 06:20:36 2025 reading relations for dependency 1
- Mon May 5 06:20:38 2025 read 8952809 cycles
- Mon May 5 06:21:05 2025 cycles contain 34529070 unique relations
- Mon May 5 06:27:19 2025 read 34529070 relations
- Mon May 5 06:31:15 2025 multiplying 34529070 relations
- Mon May 5 07:00:43 2025 multiply complete, coefficients have about 2073.48 million bits
- Mon May 5 07:00:50 2025 initial square root is modulo 2000044913
- Mon May 5 07:20:31 2025 sqrtTime: 3595
- Mon May 5 07:20:31 2025 p67 factor: 1427620087218955083181475523454549756416256697391579270602507474377
- Mon May 5 07:20:31 2025 p112 factor: 1405103589369183178268134032520163079607985939706357862882289152631677678860191112116164815039990094782458846933
- Mon May 5 07:20:31 2025 elapsed time 21:36:59
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