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- Sun Mar 24 10:27:35 2024
- Sun Mar 24 10:27:35 2024
- Sun Mar 24 10:27:35 2024 Msieve v. 1.54 (SVN Unversioned directory)
- Sun Mar 24 10:27:35 2024 random seeds: a4b65888 43dafccf
- Sun Mar 24 10:27:35 2024 Using 64 OpenMP threads
- Sun Mar 24 10:27:35 2024 factoring 1221027415036395372683765288155102835442505396611698826092061643068016095062014923158688438531508670064990228933280615395887213563820957163105984758551149537458122661 (166 digits)
- Sun Mar 24 10:27:35 2024 searching for 15-digit factors
- Sun Mar 24 10:27:35 2024 commencing number field sieve (166-digit input)
- Sun Mar 24 10:27:35 2024 R0: -145883010995289814435218849648217
- Sun Mar 24 10:27:35 2024 R1: 130854136512672919
- Sun Mar 24 10:27:35 2024 A0: 191319637217630677899574207157179331111040
- Sun Mar 24 10:27:35 2024 A1: 40490071524199687696552632308852356
- Sun Mar 24 10:27:35 2024 A2: 9807066629373243178034191761
- Sun Mar 24 10:27:35 2024 A3: -275515849328041416006
- Sun Mar 24 10:27:35 2024 A4: -6844312496096
- Sun Mar 24 10:27:35 2024 A5: 18480
- Sun Mar 24 10:27:35 2024 skew 44015355.52, size 4.101e-16, alpha -8.481, combined = 6.615e-13 rroots = 3
- Sun Mar 24 10:27:35 2024
- Sun Mar 24 10:27:35 2024 commencing relation filtering
- Sun Mar 24 10:27:35 2024 setting target matrix density to 140.0
- Sun Mar 24 10:27:35 2024 estimated available RAM is 515996.3 MB
- Sun Mar 24 10:27:35 2024 commencing duplicate removal, pass 1
- Sun Mar 24 10:29:23 2024 error -1 reading relation 81951078
- Sun Mar 24 10:29:47 2024 error -1 reading relation 100363692
- Sun Mar 24 10:30:00 2024 error -1 reading relation 110329782
- Sun Mar 24 10:30:03 2024 error -1 reading relation 112806092
- Sun Mar 24 10:31:00 2024 error -1 reading relation 156858505
- Sun Mar 24 10:31:04 2024 error -1 reading relation 159499973
- Sun Mar 24 10:31:57 2024 error -1 reading relation 200340094
- Sun Mar 24 10:32:09 2024 error -1 reading relation 209755836
- Sun Mar 24 10:32:17 2024 error -1 reading relation 215691999
- Sun Mar 24 10:32:18 2024 error -1 reading relation 216141013
- Sun Mar 24 10:32:30 2024 error -1 reading relation 225400607
- Sun Mar 24 10:32:33 2024 error -1 reading relation 227820483
- Sun Mar 24 10:32:38 2024 error -1 reading relation 231559475
- Sun Mar 24 10:32:48 2024 error -1 reading relation 239331183
- Sun Mar 24 10:32:48 2024 error -1 reading relation 239360934
- Sun Mar 24 10:32:48 2024 error -1 reading relation 239528965
- Sun Mar 24 10:32:48 2024 error -1 reading relation 239589202
- Sun Mar 24 10:32:52 2024 skipped 134 malformed relations
- Sun Mar 24 10:32:52 2024 found 51719643 hash collisions in 242460901 relations
- Sun Mar 24 10:33:13 2024 added 121867 free relations
- Sun Mar 24 10:33:13 2024 commencing duplicate removal, pass 2
- Sun Mar 24 10:37:49 2024 found 51202905 duplicates and 191379863 unique relations
- Sun Mar 24 10:37:49 2024 memory use: 1449.5 MB
- Sun Mar 24 10:37:49 2024 reading ideals above 720000
- Sun Mar 24 10:37:49 2024 commencing singleton removal, initial pass
- Sun Mar 24 10:46:37 2024 memory use: 5512.0 MB
- Sun Mar 24 10:46:38 2024 reading all ideals from disk
- Sun Mar 24 10:46:41 2024 memory use: 8668.0 MB
- Sun Mar 24 10:46:59 2024 keeping 190689133 ideals with weight <= 200, target excess is 1047075
- Sun Mar 24 10:47:21 2024 commencing in-memory singleton removal
- Sun Mar 24 10:47:23 2024 begin with 191379863 relations and 190689133 unique ideals
- Sun Mar 24 10:47:31 2024 reduce to 87689626 relations and 73189958 ideals in 15 passes
- Sun Mar 24 10:47:31 2024 max relations containing the same ideal: 124
- Sun Mar 24 10:48:00 2024 removing 11605652 relations and 9605653 ideals in 2000000 cliques
- Sun Mar 24 10:48:04 2024 commencing in-memory singleton removal
- Sun Mar 24 10:48:05 2024 begin with 76083974 relations and 73189958 unique ideals
- Sun Mar 24 10:48:09 2024 reduce to 74965742 relations and 62434767 ideals in 10 passes
- Sun Mar 24 10:48:09 2024 max relations containing the same ideal: 113
- Sun Mar 24 10:48:33 2024 removing 8836630 relations and 6836630 ideals in 2000000 cliques
- Sun Mar 24 10:48:37 2024 commencing in-memory singleton removal
- Sun Mar 24 10:48:37 2024 begin with 66129112 relations and 62434767 unique ideals
- Sun Mar 24 10:48:39 2024 reduce to 65343708 relations and 54792024 ideals in 9 passes
- Sun Mar 24 10:48:39 2024 max relations containing the same ideal: 101
- Sun Mar 24 10:49:01 2024 removing 8024592 relations and 6024592 ideals in 2000000 cliques
- Sun Mar 24 10:49:04 2024 commencing in-memory singleton removal
- Sun Mar 24 10:49:05 2024 begin with 57319116 relations and 54792024 unique ideals
- Sun Mar 24 10:49:07 2024 reduce to 56588965 relations and 48016626 ideals in 8 passes
- Sun Mar 24 10:49:07 2024 max relations containing the same ideal: 92
- Sun Mar 24 10:49:26 2024 removing 7621582 relations and 5621582 ideals in 2000000 cliques
- Sun Mar 24 10:49:29 2024 commencing in-memory singleton removal
- Sun Mar 24 10:49:29 2024 begin with 48967383 relations and 48016626 unique ideals
- Sun Mar 24 10:49:31 2024 reduce to 48226404 relations and 41630672 ideals in 9 passes
- Sun Mar 24 10:49:31 2024 max relations containing the same ideal: 85
- Sun Mar 24 10:49:47 2024 removing 7381704 relations and 5381704 ideals in 2000000 cliques
- Sun Mar 24 10:49:50 2024 commencing in-memory singleton removal
- Sun Mar 24 10:49:50 2024 begin with 40844700 relations and 41630672 unique ideals
- Sun Mar 24 10:49:51 2024 reduce to 40053682 relations and 35428843 ideals in 9 passes
- Sun Mar 24 10:49:51 2024 max relations containing the same ideal: 79
- Sun Mar 24 10:50:05 2024 removing 7226917 relations and 5226917 ideals in 2000000 cliques
- Sun Mar 24 10:50:07 2024 commencing in-memory singleton removal
- Sun Mar 24 10:50:08 2024 begin with 32826765 relations and 35428843 unique ideals
- Sun Mar 24 10:50:09 2024 reduce to 31930240 relations and 29266469 ideals in 12 passes
- Sun Mar 24 10:50:09 2024 max relations containing the same ideal: 62
- Sun Mar 24 10:50:20 2024 removing 5537592 relations and 4088429 ideals in 1449163 cliques
- Sun Mar 24 10:50:22 2024 commencing in-memory singleton removal
- Sun Mar 24 10:50:22 2024 begin with 26392648 relations and 29266469 unique ideals
- Sun Mar 24 10:50:23 2024 reduce to 25744970 relations and 24504405 ideals in 8 passes
- Sun Mar 24 10:50:23 2024 max relations containing the same ideal: 54
- Sun Mar 24 10:50:32 2024 removing 202553 relations and 176596 ideals in 25957 cliques
- Sun Mar 24 10:50:33 2024 commencing in-memory singleton removal
- Sun Mar 24 10:50:33 2024 begin with 25542417 relations and 24504405 unique ideals
- Sun Mar 24 10:50:34 2024 reduce to 25541492 relations and 24326884 ideals in 6 passes
- Sun Mar 24 10:50:34 2024 max relations containing the same ideal: 54
- Sun Mar 24 10:50:36 2024 relations with 0 large ideals: 3758
- Sun Mar 24 10:50:36 2024 relations with 1 large ideals: 56006
- Sun Mar 24 10:50:36 2024 relations with 2 large ideals: 581603
- Sun Mar 24 10:50:36 2024 relations with 3 large ideals: 2548656
- Sun Mar 24 10:50:36 2024 relations with 4 large ideals: 5767586
- Sun Mar 24 10:50:36 2024 relations with 5 large ideals: 7398225
- Sun Mar 24 10:50:36 2024 relations with 6 large ideals: 5689725
- Sun Mar 24 10:50:36 2024 relations with 7+ large ideals: 3495933
- Sun Mar 24 10:50:36 2024 commencing 2-way merge
- Sun Mar 24 10:50:49 2024 reduce to 15433382 relation sets and 14218774 unique ideals
- Sun Mar 24 10:50:49 2024 commencing full merge
- Sun Mar 24 10:54:49 2024 memory use: 1707.4 MB
- Sun Mar 24 10:54:50 2024 found 6573289 cycles, need 6542974
- Sun Mar 24 10:54:52 2024 weight of 6542974 cycles is about 916213651 (140.03/cycle)
- Sun Mar 24 10:54:52 2024 distribution of cycle lengths:
- Sun Mar 24 10:54:52 2024 1 relations: 203326
- Sun Mar 24 10:54:52 2024 2 relations: 313797
- Sun Mar 24 10:54:52 2024 3 relations: 381659
- Sun Mar 24 10:54:52 2024 4 relations: 405813
- Sun Mar 24 10:54:52 2024 5 relations: 425187
- Sun Mar 24 10:54:52 2024 6 relations: 426333
- Sun Mar 24 10:54:52 2024 7 relations: 427562
- Sun Mar 24 10:54:52 2024 8 relations: 418114
- Sun Mar 24 10:54:52 2024 9 relations: 402490
- Sun Mar 24 10:54:52 2024 10+ relations: 3138693
- Sun Mar 24 10:54:52 2024 heaviest cycle: 28 relations
- Sun Mar 24 10:54:53 2024 commencing cycle optimization
- Sun Mar 24 10:55:05 2024 start with 66068092 relations
- Sun Mar 24 10:57:07 2024 pruned 3039391 relations
- Sun Mar 24 10:57:07 2024 memory use: 1715.1 MB
- Sun Mar 24 10:57:07 2024 distribution of cycle lengths:
- Sun Mar 24 10:57:07 2024 1 relations: 203326
- Sun Mar 24 10:57:07 2024 2 relations: 322493
- Sun Mar 24 10:57:07 2024 3 relations: 397796
- Sun Mar 24 10:57:07 2024 4 relations: 422694
- Sun Mar 24 10:57:07 2024 5 relations: 445829
- Sun Mar 24 10:57:07 2024 6 relations: 447843
- Sun Mar 24 10:57:07 2024 7 relations: 450728
- Sun Mar 24 10:57:07 2024 8 relations: 439976
- Sun Mar 24 10:57:07 2024 9 relations: 423179
- Sun Mar 24 10:57:07 2024 10+ relations: 2989110
- Sun Mar 24 10:57:07 2024 heaviest cycle: 28 relations
- Sun Mar 24 10:57:14 2024 RelProcTime: 1779
- Sun Mar 24 10:57:14 2024
- Sun Mar 24 10:57:14 2024 commencing linear algebra
- Sun Mar 24 10:57:14 2024 using VBITS=256
- Sun Mar 24 10:57:15 2024 read 6542974 cycles
- Sun Mar 24 10:57:25 2024 cycles contain 24783904 unique relations
- Sun Mar 24 11:00:50 2024 read 24783904 relations
- Sun Mar 24 11:00:52 2024 using 20 quadratic characters above 4294917295
- Sun Mar 24 11:00:54 2024 building initial matrix
- Sun Mar 24 11:05:27 2024 memory use: 3421.7 MB
- Sun Mar 24 11:05:31 2024 read 6542974 cycles
- Sun Mar 24 11:05:32 2024 matrix is 6542796 x 6542974 (3521.0 MB) with weight 1083083651 (165.53/col)
- Sun Mar 24 11:05:32 2024 sparse part has weight 844504398 (129.07/col)
- Sun Mar 24 11:06:45 2024 filtering completed in 2 passes
- Sun Mar 24 11:06:46 2024 matrix is 6542660 x 6542837 (3521.0 MB) with weight 1083076026 (165.54/col)
- Sun Mar 24 11:06:46 2024 sparse part has weight 844502107 (129.07/col)
- Sun Mar 24 11:07:07 2024 matrix starts at (0, 0)
- Sun Mar 24 11:07:08 2024 matrix is 6542660 x 6542837 (3521.0 MB) with weight 1083076026 (165.54/col)
- Sun Mar 24 11:07:08 2024 sparse part has weight 844502107 (129.07/col)
- Sun Mar 24 11:07:08 2024 saving the first 240 matrix rows for later
- Sun Mar 24 11:07:10 2024 matrix includes 256 packed rows
- Sun Mar 24 11:07:11 2024 matrix is 6542420 x 6542837 (3146.2 MB) with weight 774399354 (118.36/col)
- Sun Mar 24 11:07:11 2024 sparse part has weight 720084178 (110.06/col)
- Sun Mar 24 11:07:11 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
- Sun Mar 24 11:07:26 2024 commencing Lanczos iteration (64 threads)
- Sun Mar 24 11:07:26 2024 memory use: 4143.7 MB
- Sun Mar 24 11:08:33 2024 linear algebra at 0.5%, ETA 3h53m
- Sun Mar 24 11:10:06 2024 checking every 20000 dimensions, checkpointing every 1740000 dimensions
- Sun Mar 24 14:47:59 2024 lanczos halted after 25633 iterations (dim = 6542419)
- Sun Mar 24 14:48:25 2024 recovered 31 nontrivial dependencies
- Sun Mar 24 14:48:25 2024 BLanczosTime: 13871
- Sun Mar 24 14:48:25 2024
- Sun Mar 24 14:48:25 2024 commencing square root phase
- Sun Mar 24 14:48:25 2024 handling dependencies 1 to 64
- Sun Mar 24 14:48:25 2024 reading relations for dependency 1
- Sun Mar 24 14:48:26 2024 read 3272082 cycles
- Sun Mar 24 14:48:31 2024 cycles contain 12394456 unique relations
- Sun Mar 24 14:52:00 2024 read 12394456 relations
- Sun Mar 24 14:52:45 2024 multiplying 12394456 relations
- Sun Mar 24 14:58:21 2024 multiply complete, coefficients have about 663.91 million bits
- Sun Mar 24 14:58:23 2024 initial square root is modulo 904261
- Sun Mar 24 15:02:09 2024 GCD is 1, no factor found
- Sun Mar 24 15:02:09 2024 reading relations for dependency 2
- Sun Mar 24 15:02:09 2024 read 3274040 cycles
- Sun Mar 24 15:02:15 2024 cycles contain 12400874 unique relations
- Sun Mar 24 15:05:40 2024 read 12400874 relations
- Sun Mar 24 15:06:19 2024 multiplying 12400874 relations
- Sun Mar 24 15:11:36 2024 multiply complete, coefficients have about 664.25 million bits
- Sun Mar 24 15:11:38 2024 initial square root is modulo 910751
- Sun Mar 24 15:15:12 2024 sqrtTime: 1607
- Sun Mar 24 15:15:12 2024 p54 factor: 187118899123958757628445470310281019991743416174697603
- Sun Mar 24 15:15:12 2024 p112 factor: 6525409356045397295178310407579833336857397874598052747975238185575273293450578691682341001675899606327764130487
- Sun Mar 24 15:15:12 2024 elapsed time 04:47:37
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