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- Fri Feb 21 08:00:57 2025
- Fri Feb 21 08:00:57 2025
- Fri Feb 21 08:00:57 2025 Msieve v. 1.54 (SVN Unversioned directory)
- Fri Feb 21 08:00:57 2025 random seeds: 9d83e3c5 e8af9cd3
- Fri Feb 21 08:00:57 2025 MPI process 0 of 1
- Fri Feb 21 08:00:57 2025 Using 32 OpenMP threads
- Fri Feb 21 08:00:57 2025 factoring 535820073448798111178078389192152275646771301900605261022723781604916680503277101688568281768379360420187910822678125866678027014652471285654063504120078444274741717 (165 digits)
- Fri Feb 21 08:00:58 2025 searching for 15-digit factors
- Fri Feb 21 08:00:58 2025 commencing number field sieve (165-digit input)
- Fri Feb 21 08:00:58 2025 R0: -74682160034763705231576606076096
- Fri Feb 21 08:00:58 2025 R1: 230254832759257231
- Fri Feb 21 08:00:58 2025 A0: -5599415583892969105642679170584643749
- Fri Feb 21 08:00:58 2025 A1: -292835961208887141246946893871217
- Fri Feb 21 08:00:58 2025 A2: 485861453512327538713664583
- Fri Feb 21 08:00:58 2025 A3: -14828853264102510147
- Fri Feb 21 08:00:58 2025 A4: -461403630758
- Fri Feb 21 08:00:58 2025 A5: 230640
- Fri Feb 21 08:00:58 2025 skew 6648829.75, size 4.392e-16, alpha -6.486, combined = 6.916e-13 rroots = 3
- Fri Feb 21 08:00:58 2025
- Fri Feb 21 08:00:58 2025 commencing relation filtering
- Fri Feb 21 08:00:58 2025 setting target matrix density to 120.0
- Fri Feb 21 08:00:58 2025 estimated available RAM is 257736.5 MB
- Fri Feb 21 08:00:58 2025 commencing duplicate removal, pass 1
- Fri Feb 21 08:01:30 2025 error -1 reading relation 14953958
- Fri Feb 21 08:04:07 2025 error -1 reading relation 75306322
- Fri Feb 21 08:05:18 2025 error -1 reading relation 101912126
- Fri Feb 21 08:05:25 2025 error -1 reading relation 104288867
- Fri Feb 21 08:05:26 2025 error -1 reading relation 104583134
- Fri Feb 21 08:07:24 2025 error -1 reading relation 152138738
- Fri Feb 21 08:08:09 2025 error -1 reading relation 171704615
- Fri Feb 21 08:08:31 2025 error -1 reading relation 180457031
- Fri Feb 21 08:09:41 2025 error -5 reading relation 210937828
- Fri Feb 21 08:09:58 2025 error -15 reading relation 218243151
- Fri Feb 21 08:10:00 2025 error -1 reading relation 219048878
- Fri Feb 21 08:10:02 2025 error -1 reading relation 219839400
- Fri Feb 21 08:10:02 2025 error -1 reading relation 219845694
- Fri Feb 21 08:10:24 2025 error -11 reading relation 229614172
- Fri Feb 21 08:10:30 2025 error -1 reading relation 232462246
- Fri Feb 21 08:10:32 2025 error -1 reading relation 233092587
- Fri Feb 21 08:10:42 2025 error -1 reading relation 237764192
- Fri Feb 21 08:11:02 2025 error -1 reading relation 247661105
- Fri Feb 21 08:11:06 2025 error -1 reading relation 249480567
- Fri Feb 21 08:11:31 2025 skipped 1 relations with composite factors
- Fri Feb 21 08:11:31 2025 skipped 134 malformed relations
- Fri Feb 21 08:11:31 2025 found 46841319 hash collisions in 259908805 relations
- Fri Feb 21 08:12:05 2025 added 121876 free relations
- Fri Feb 21 08:12:05 2025 commencing duplicate removal, pass 2
- Fri Feb 21 08:19:18 2025 found 43812436 duplicates and 216218245 unique relations
- Fri Feb 21 08:19:18 2025 memory use: 1449.5 MB
- Fri Feb 21 08:19:19 2025 reading ideals above 720000
- Fri Feb 21 08:19:19 2025 commencing singleton removal, initial pass
- Fri Feb 21 08:42:42 2025 memory use: 6024.0 MB
- Fri Feb 21 08:42:43 2025 reading all ideals from disk
- Fri Feb 21 08:42:50 2025 memory use: 9946.8 MB
- Fri Feb 21 08:43:32 2025 keeping 219969725 ideals with weight <= 200, target excess is 1048513
- Fri Feb 21 08:44:24 2025 commencing in-memory singleton removal
- Fri Feb 21 08:44:29 2025 begin with 216218245 relations and 219969725 unique ideals
- Fri Feb 21 08:44:49 2025 reduce to 103196855 relations and 91067059 ideals in 17 passes
- Fri Feb 21 08:44:49 2025 max relations containing the same ideal: 129
- Fri Feb 21 08:46:05 2025 removing 13426337 relations and 11426337 ideals in 2000000 cliques
- Fri Feb 21 08:46:11 2025 commencing in-memory singleton removal
- Fri Feb 21 08:46:13 2025 begin with 89770518 relations and 91067059 unique ideals
- Fri Feb 21 08:46:21 2025 reduce to 88317860 relations and 78150889 ideals in 10 passes
- Fri Feb 21 08:46:21 2025 max relations containing the same ideal: 119
- Fri Feb 21 08:47:41 2025 removing 10283740 relations and 8283740 ideals in 2000000 cliques
- Fri Feb 21 08:47:46 2025 commencing in-memory singleton removal
- Fri Feb 21 08:47:48 2025 begin with 78034120 relations and 78150889 unique ideals
- Fri Feb 21 08:47:55 2025 reduce to 77002851 relations and 68811888 ideals in 10 passes
- Fri Feb 21 08:47:55 2025 max relations containing the same ideal: 106
- Fri Feb 21 08:48:35 2025 removing 9371057 relations and 7371057 ideals in 2000000 cliques
- Fri Feb 21 08:48:39 2025 commencing in-memory singleton removal
- Fri Feb 21 08:48:40 2025 begin with 67631794 relations and 68811888 unique ideals
- Fri Feb 21 08:48:44 2025 reduce to 66636552 relations and 60420694 ideals in 10 passes
- Fri Feb 21 08:48:44 2025 max relations containing the same ideal: 97
- Fri Feb 21 08:49:12 2025 removing 8979862 relations and 6979862 ideals in 2000000 cliques
- Fri Feb 21 08:49:14 2025 commencing in-memory singleton removal
- Fri Feb 21 08:49:15 2025 begin with 57656690 relations and 60420694 unique ideals
- Fri Feb 21 08:49:18 2025 reduce to 56593272 relations and 52347686 ideals in 10 passes
- Fri Feb 21 08:49:18 2025 max relations containing the same ideal: 90
- Fri Feb 21 08:49:44 2025 removing 8817441 relations and 6817441 ideals in 2000000 cliques
- Fri Feb 21 08:49:48 2025 commencing in-memory singleton removal
- Fri Feb 21 08:49:49 2025 begin with 47775831 relations and 52347686 unique ideals
- Fri Feb 21 08:49:53 2025 reduce to 46538051 relations and 44252563 ideals in 11 passes
- Fri Feb 21 08:49:53 2025 max relations containing the same ideal: 76
- Fri Feb 21 08:50:33 2025 removing 5526288 relations and 4457076 ideals in 1069212 cliques
- Fri Feb 21 08:50:36 2025 commencing in-memory singleton removal
- Fri Feb 21 08:50:37 2025 begin with 41011763 relations and 44252563 unique ideals
- Fri Feb 21 08:50:40 2025 reduce to 40455781 relations and 39227773 ideals in 9 passes
- Fri Feb 21 08:50:40 2025 max relations containing the same ideal: 68
- Fri Feb 21 08:51:16 2025 removing 127763 relations and 116031 ideals in 11732 cliques
- Fri Feb 21 08:51:18 2025 commencing in-memory singleton removal
- Fri Feb 21 08:51:18 2025 begin with 40328018 relations and 39227773 unique ideals
- Fri Feb 21 08:51:20 2025 reduce to 40327741 relations and 39111465 ideals in 5 passes
- Fri Feb 21 08:51:20 2025 max relations containing the same ideal: 67
- Fri Feb 21 08:51:26 2025 relations with 0 large ideals: 3875
- Fri Feb 21 08:51:26 2025 relations with 1 large ideals: 28356
- Fri Feb 21 08:51:26 2025 relations with 2 large ideals: 376313
- Fri Feb 21 08:51:26 2025 relations with 3 large ideals: 2097742
- Fri Feb 21 08:51:26 2025 relations with 4 large ideals: 6213352
- Fri Feb 21 08:51:26 2025 relations with 5 large ideals: 10697103
- Fri Feb 21 08:51:26 2025 relations with 6 large ideals: 11093201
- Fri Feb 21 08:51:26 2025 relations with 7+ large ideals: 9817799
- Fri Feb 21 08:51:26 2025 commencing 2-way merge
- Fri Feb 21 08:52:15 2025 reduce to 23633082 relation sets and 22416806 unique ideals
- Fri Feb 21 08:52:15 2025 commencing full merge
- Fri Feb 21 09:06:04 2025 memory use: 2612.3 MB
- Fri Feb 21 09:06:08 2025 found 10100155 cycles, need 10093006
- Fri Feb 21 09:06:13 2025 weight of 10093006 cycles is about 1211362930 (120.02/cycle)
- Fri Feb 21 09:06:13 2025 distribution of cycle lengths:
- Fri Feb 21 09:06:13 2025 1 relations: 871328
- Fri Feb 21 09:06:13 2025 2 relations: 725865
- Fri Feb 21 09:06:13 2025 3 relations: 711877
- Fri Feb 21 09:06:13 2025 4 relations: 681131
- Fri Feb 21 09:06:13 2025 5 relations: 671370
- Fri Feb 21 09:06:13 2025 6 relations: 643696
- Fri Feb 21 09:06:13 2025 7 relations: 615497
- Fri Feb 21 09:06:13 2025 8 relations: 585331
- Fri Feb 21 09:06:13 2025 9 relations: 555729
- Fri Feb 21 09:06:13 2025 10+ relations: 4031182
- Fri Feb 21 09:06:13 2025 heaviest cycle: 28 relations
- Fri Feb 21 09:06:19 2025 commencing cycle optimization
- Fri Feb 21 09:06:59 2025 start with 89521129 relations
- Fri Feb 21 09:11:18 2025 pruned 3241965 relations
- Fri Feb 21 09:11:19 2025 memory use: 2534.8 MB
- Fri Feb 21 09:11:19 2025 distribution of cycle lengths:
- Fri Feb 21 09:11:19 2025 1 relations: 871328
- Fri Feb 21 09:11:19 2025 2 relations: 743907
- Fri Feb 21 09:11:19 2025 3 relations: 738147
- Fri Feb 21 09:11:19 2025 4 relations: 703182
- Fri Feb 21 09:11:19 2025 5 relations: 696625
- Fri Feb 21 09:11:19 2025 6 relations: 666142
- Fri Feb 21 09:11:19 2025 7 relations: 638013
- Fri Feb 21 09:11:19 2025 8 relations: 604490
- Fri Feb 21 09:11:19 2025 9 relations: 571830
- Fri Feb 21 09:11:19 2025 10+ relations: 3859342
- Fri Feb 21 09:11:19 2025 heaviest cycle: 28 relations
- Fri Feb 21 09:11:51 2025 RelProcTime: 4253
- Fri Feb 21 09:11:51 2025
- Fri Feb 21 09:11:51 2025 commencing linear algebra
- Fri Feb 21 09:11:51 2025 using VBITS=256
- Fri Feb 21 09:11:51 2025 stopping after matrix build
- Fri Feb 21 09:11:51 2025 initialized process (0,0) of 1 x 1 grid
- Fri Feb 21 09:11:52 2025 read 10093006 cycles
- Fri Feb 21 09:12:27 2025 cycles contain 39326634 unique relations
- Fri Feb 21 09:17:35 2025 read 39326634 relations
- Fri Feb 21 09:17:40 2025 using 20 quadratic characters above 4294917295
- Fri Feb 21 09:17:46 2025 building initial matrix
- Fri Feb 21 09:29:25 2025 memory use: 5148.0 MB
- Fri Feb 21 09:29:33 2025 read 10093006 cycles
- Fri Feb 21 09:29:35 2025 matrix is 10092828 x 10093006 (4783.9 MB) with weight 1441395577 (142.81/col)
- Fri Feb 21 09:29:35 2025 sparse part has weight 1132959552 (112.25/col)
- Fri Feb 21 09:32:09 2025 filtering completed in 2 passes
- Fri Feb 21 09:32:13 2025 matrix is 10092407 x 10092584 (4783.9 MB) with weight 1441375359 (142.82/col)
- Fri Feb 21 09:32:13 2025 sparse part has weight 1132953315 (112.26/col)
- Fri Feb 21 09:33:29 2025 BLanczosTime: 1298
- Fri Feb 21 09:33:29 2025 elapsed time 01:32:32
- Fri Feb 21 09:42:27 2025
- Fri Feb 21 09:42:27 2025
- Fri Feb 21 09:42:27 2025 Msieve v. 1.54 (SVN Unversioned directory)
- Fri Feb 21 09:42:27 2025 random seeds: 1388000d da1d9745
- Fri Feb 21 09:42:27 2025 Using 96 OpenMP threads
- Fri Feb 21 09:42:27 2025 factoring 535820073448798111178078389192152275646771301900605261022723781604916680503277101688568281768379360420187910822678125866678027014652471285654063504120078444274741717 (165 digits)
- Fri Feb 21 09:42:28 2025 searching for 15-digit factors
- Fri Feb 21 09:42:28 2025 commencing number field sieve (165-digit input)
- Fri Feb 21 09:42:28 2025 R0: -74682160034763705231576606076096
- Fri Feb 21 09:42:28 2025 R1: 230254832759257231
- Fri Feb 21 09:42:28 2025 A0: -5599415583892969105642679170584643749
- Fri Feb 21 09:42:28 2025 A1: -292835961208887141246946893871217
- Fri Feb 21 09:42:28 2025 A2: 485861453512327538713664583
- Fri Feb 21 09:42:28 2025 A3: -14828853264102510147
- Fri Feb 21 09:42:28 2025 A4: -461403630758
- Fri Feb 21 09:42:28 2025 A5: 230640
- Fri Feb 21 09:42:28 2025 skew 6648829.75, size 4.392e-16, alpha -6.486, combined = 6.916e-13 rroots = 3
- Fri Feb 21 09:42:28 2025
- Fri Feb 21 09:42:28 2025 commencing linear algebra
- Fri Feb 21 09:42:28 2025 using VBITS=256
- Fri Feb 21 09:42:28 2025 skipping matrix build
- Fri Feb 21 09:42:30 2025 matrix starts at (0, 0)
- Fri Feb 21 09:42:32 2025 matrix is 10092407 x 10092584 (4783.9 MB) with weight 1441375359 (142.82/col)
- Fri Feb 21 09:42:32 2025 sparse part has weight 1132953315 (112.26/col)
- Fri Feb 21 09:42:32 2025 saving the first 240 matrix rows for later
- Fri Feb 21 09:42:34 2025 matrix includes 256 packed rows
- Fri Feb 21 09:42:37 2025 matrix is 10092167 x 10092584 (4313.2 MB) with weight 1035147739 (102.57/col)
- Fri Feb 21 09:42:37 2025 sparse part has weight 969200965 (96.03/col)
- Fri Feb 21 09:42:37 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
- Fri Feb 21 09:42:57 2025 commencing Lanczos iteration (96 threads)
- Fri Feb 21 09:42:57 2025 memory use: 5924.9 MB
- Fri Feb 21 09:44:08 2025 linear algebra at 0.3%, ETA 6h23m
- Fri Feb 21 09:45:52 2025 checking every 20000 dimensions, checkpointing every 1600000 dimensions
- Fri Feb 21 15:51:15 2025 lanczos halted after 39542 iterations (dim = 10092165)
- Fri Feb 21 15:52:04 2025 recovered 33 nontrivial dependencies
- Fri Feb 21 15:52:05 2025 BLanczosTime: 22177
- Fri Feb 21 15:52:05 2025
- Fri Feb 21 15:52:05 2025 commencing square root phase
- Fri Feb 21 15:52:05 2025 handling dependencies 1 to 64
- Fri Feb 21 15:52:05 2025 reading relations for dependency 1
- Fri Feb 21 15:52:05 2025 read 5043575 cycles
- Fri Feb 21 15:52:14 2025 cycles contain 19660772 unique relations
- Fri Feb 21 15:55:54 2025 read 19660772 relations
- Fri Feb 21 15:56:57 2025 multiplying 19660772 relations
- Fri Feb 21 16:09:41 2025 multiply complete, coefficients have about 1068.17 million bits
- Fri Feb 21 16:09:46 2025 initial square root is modulo 61927
- Fri Feb 21 16:21:42 2025 GCD is N, no factor found
- Fri Feb 21 16:21:42 2025 reading relations for dependency 2
- Fri Feb 21 16:21:44 2025 read 5043195 cycles
- Fri Feb 21 16:21:57 2025 cycles contain 19658658 unique relations
- Fri Feb 21 16:27:09 2025 read 19658658 relations
- Fri Feb 21 16:28:43 2025 multiplying 19658658 relations
- Fri Feb 21 16:43:25 2025 multiply complete, coefficients have about 1068.05 million bits
- Fri Feb 21 16:43:31 2025 initial square root is modulo 61927
- Fri Feb 21 16:55:33 2025 GCD is 1, no factor found
- Fri Feb 21 16:55:33 2025 reading relations for dependency 3
- Fri Feb 21 16:55:34 2025 read 5043613 cycles
- Fri Feb 21 16:55:50 2025 cycles contain 19661716 unique relations
- Fri Feb 21 17:01:05 2025 read 19661716 relations
- Fri Feb 21 17:03:06 2025 multiplying 19661716 relations
- Fri Feb 21 17:17:09 2025 multiply complete, coefficients have about 1068.22 million bits
- Fri Feb 21 17:17:14 2025 initial square root is modulo 61927
- Fri Feb 21 17:29:23 2025 sqrtTime: 5838
- Fri Feb 21 17:29:23 2025 p76 factor: 2766754922493916961434303231510415452474087214088890070922020888175257894953
- Fri Feb 21 17:29:23 2025 p90 factor: 193663728251657669222348638146366596281578947936751586498824742512402126345883702364285389
- Fri Feb 21 17:29:23 2025 elapsed time 07:46:56
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