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- Wed Dec 7 11:04:56 2022
- Wed Dec 7 11:04:56 2022
- Wed Dec 7 11:04:56 2022 Msieve v. 1.54 (SVN Unversioned directory)
- Wed Dec 7 11:04:56 2022 random seeds: 950fbf6b 15e84176
- Wed Dec 7 11:04:56 2022 MPI process 0 of 1
- Wed Dec 7 11:04:56 2022 Using 32 OpenMP threads
- Wed Dec 7 11:04:56 2022 factoring 51276381220631050601395457948396132875800453994730190063206120298549919521704418919564359809723833785837297855838543476883096301154589400317024524520540356128251865593562159646207773382832638639035339980127949663907 (215 digits)
- Wed Dec 7 11:04:57 2022 no P-1/P+1/ECM available, skipping
- Wed Dec 7 11:04:57 2022 commencing number field sieve (215-digit input)
- Wed Dec 7 11:04:57 2022 R0: 1385958292650894673001267689147148914202
- Wed Dec 7 11:04:57 2022 R1: -37228460788097252101
- Wed Dec 7 11:04:57 2022 A0: -1
- Wed Dec 7 11:04:57 2022 A1: 3
- Wed Dec 7 11:04:57 2022 A2: 6
- Wed Dec 7 11:04:57 2022 A3: -4
- Wed Dec 7 11:04:57 2022 A4: -5
- Wed Dec 7 11:04:57 2022 A5: 1
- Wed Dec 7 11:04:57 2022 A6: 1
- Wed Dec 7 11:04:57 2022 skew 1.00, size 1.477e-11, alpha 3.126, combined = 8.294e-13 rroots = 6
- Wed Dec 7 11:04:57 2022
- Wed Dec 7 11:04:57 2022 commencing relation filtering
- Wed Dec 7 11:04:57 2022 setting target matrix density to 110.0
- Wed Dec 7 11:04:57 2022 estimated available RAM is 257753.8 MB
- Wed Dec 7 11:04:57 2022 commencing duplicate removal, pass 1
- Wed Dec 7 11:07:00 2022 skipped 7 relations with b > 2^32
- Wed Dec 7 11:07:00 2022 skipped 2 relations with composite factors
- Wed Dec 7 11:07:00 2022 skipped 18 malformed relations
- Wed Dec 7 11:07:00 2022 found 3744149 hash collisions in 92268982 relations
- Wed Dec 7 11:07:07 2022 added 2438358 free relations
- Wed Dec 7 11:07:08 2022 commencing duplicate removal, pass 2
- Wed Dec 7 11:07:27 2022 found 0 duplicates and 94707340 unique relations
- Wed Dec 7 11:07:27 2022 memory use: 261.2 MB
- Wed Dec 7 11:07:27 2022 reading ideals above 720000
- Wed Dec 7 11:07:27 2022 commencing singleton removal, initial pass
- Wed Dec 7 11:11:17 2022 memory use: 2756.0 MB
- Wed Dec 7 11:11:17 2022 reading all ideals from disk
- Wed Dec 7 11:11:21 2022 memory use: 4338.5 MB
- Wed Dec 7 11:11:31 2022 keeping 90323699 ideals with weight <= 200, target excess is 476846
- Wed Dec 7 11:11:43 2022 commencing in-memory singleton removal
- Wed Dec 7 11:11:46 2022 begin with 94707340 relations and 90323699 unique ideals
- Wed Dec 7 11:12:00 2022 reduce to 59393487 relations and 51178583 ideals in 15 passes
- Wed Dec 7 11:12:00 2022 max relations containing the same ideal: 157
- Wed Dec 7 11:12:20 2022 removing 5765686 relations and 4765686 ideals in 1000000 cliques
- Wed Dec 7 11:12:22 2022 commencing in-memory singleton removal
- Wed Dec 7 11:12:24 2022 begin with 53627801 relations and 51178583 unique ideals
- Wed Dec 7 11:12:31 2022 reduce to 53101525 relations and 45874704 ideals in 9 passes
- Wed Dec 7 11:12:31 2022 max relations containing the same ideal: 148
- Wed Dec 7 11:12:48 2022 removing 4507377 relations and 3507377 ideals in 1000000 cliques
- Wed Dec 7 11:12:50 2022 commencing in-memory singleton removal
- Wed Dec 7 11:12:52 2022 begin with 48594148 relations and 45874704 unique ideals
- Wed Dec 7 11:12:58 2022 reduce to 48245290 relations and 42011593 ideals in 9 passes
- Wed Dec 7 11:12:58 2022 max relations containing the same ideal: 140
- Wed Dec 7 11:13:13 2022 removing 4139062 relations and 3139062 ideals in 1000000 cliques
- Wed Dec 7 11:13:16 2022 commencing in-memory singleton removal
- Wed Dec 7 11:13:17 2022 begin with 44106228 relations and 42011593 unique ideals
- Wed Dec 7 11:13:22 2022 reduce to 43793658 relations and 38553567 ideals in 8 passes
- Wed Dec 7 11:13:22 2022 max relations containing the same ideal: 133
- Wed Dec 7 11:13:36 2022 removing 3957224 relations and 2957224 ideals in 1000000 cliques
- Wed Dec 7 11:13:38 2022 commencing in-memory singleton removal
- Wed Dec 7 11:13:40 2022 begin with 39836434 relations and 38553567 unique ideals
- Wed Dec 7 11:13:44 2022 reduce to 39532828 relations and 35286195 ideals in 9 passes
- Wed Dec 7 11:13:44 2022 max relations containing the same ideal: 122
- Wed Dec 7 11:13:58 2022 removing 3843626 relations and 2843626 ideals in 1000000 cliques
- Wed Dec 7 11:13:59 2022 commencing in-memory singleton removal
- Wed Dec 7 11:14:00 2022 begin with 35689202 relations and 35286195 unique ideals
- Wed Dec 7 11:14:05 2022 reduce to 35381034 relations and 32127242 ideals in 9 passes
- Wed Dec 7 11:14:05 2022 max relations containing the same ideal: 110
- Wed Dec 7 11:14:16 2022 removing 3770533 relations and 2770533 ideals in 1000000 cliques
- Wed Dec 7 11:14:18 2022 commencing in-memory singleton removal
- Wed Dec 7 11:14:19 2022 begin with 31610501 relations and 32127242 unique ideals
- Wed Dec 7 11:14:22 2022 reduce to 31289121 relations and 29027201 ideals in 8 passes
- Wed Dec 7 11:14:22 2022 max relations containing the same ideal: 102
- Wed Dec 7 11:14:33 2022 removing 3726537 relations and 2726537 ideals in 1000000 cliques
- Wed Dec 7 11:14:34 2022 commencing in-memory singleton removal
- Wed Dec 7 11:14:35 2022 begin with 27562584 relations and 29027201 unique ideals
- Wed Dec 7 11:14:38 2022 reduce to 27217170 relations and 25945350 ideals in 8 passes
- Wed Dec 7 11:14:38 2022 max relations containing the same ideal: 92
- Wed Dec 7 11:14:47 2022 removing 2836994 relations and 2118316 ideals in 718678 cliques
- Wed Dec 7 11:14:49 2022 commencing in-memory singleton removal
- Wed Dec 7 11:14:49 2022 begin with 24380176 relations and 25945350 unique ideals
- Wed Dec 7 11:14:52 2022 reduce to 24157904 relations and 23599494 ideals in 8 passes
- Wed Dec 7 11:14:52 2022 max relations containing the same ideal: 84
- Wed Dec 7 11:15:04 2022 relations with 0 large ideals: 34997
- Wed Dec 7 11:15:04 2022 relations with 1 large ideals: 10115
- Wed Dec 7 11:15:04 2022 relations with 2 large ideals: 79779
- Wed Dec 7 11:15:04 2022 relations with 3 large ideals: 536166
- Wed Dec 7 11:15:04 2022 relations with 4 large ideals: 2015429
- Wed Dec 7 11:15:04 2022 relations with 5 large ideals: 4522143
- Wed Dec 7 11:15:04 2022 relations with 6 large ideals: 6322829
- Wed Dec 7 11:15:04 2022 relations with 7+ large ideals: 10636446
- Wed Dec 7 11:15:04 2022 commencing 2-way merge
- Wed Dec 7 11:15:16 2022 reduce to 15932715 relation sets and 15374305 unique ideals
- Wed Dec 7 11:15:16 2022 commencing full merge
- Wed Dec 7 11:21:00 2022 memory use: 2139.0 MB
- Wed Dec 7 11:21:01 2022 found 7305062 cycles, need 7290505
- Wed Dec 7 11:21:03 2022 weight of 7290505 cycles is about 802003412 (110.01/cycle)
- Wed Dec 7 11:21:03 2022 distribution of cycle lengths:
- Wed Dec 7 11:21:03 2022 1 relations: 398825
- Wed Dec 7 11:21:03 2022 2 relations: 511863
- Wed Dec 7 11:21:03 2022 3 relations: 568964
- Wed Dec 7 11:21:03 2022 4 relations: 564144
- Wed Dec 7 11:21:03 2022 5 relations: 554224
- Wed Dec 7 11:21:03 2022 6 relations: 531288
- Wed Dec 7 11:21:03 2022 7 relations: 506001
- Wed Dec 7 11:21:03 2022 8 relations: 470878
- Wed Dec 7 11:21:03 2022 9 relations: 438220
- Wed Dec 7 11:21:03 2022 10+ relations: 2746098
- Wed Dec 7 11:21:03 2022 heaviest cycle: 28 relations
- Wed Dec 7 11:21:06 2022 commencing cycle optimization
- Wed Dec 7 11:21:18 2022 start with 62634262 relations
- Wed Dec 7 11:23:27 2022 pruned 2740828 relations
- Wed Dec 7 11:23:27 2022 memory use: 1646.0 MB
- Wed Dec 7 11:23:27 2022 distribution of cycle lengths:
- Wed Dec 7 11:23:27 2022 1 relations: 398825
- Wed Dec 7 11:23:27 2022 2 relations: 523263
- Wed Dec 7 11:23:27 2022 3 relations: 591768
- Wed Dec 7 11:23:27 2022 4 relations: 586161
- Wed Dec 7 11:23:27 2022 5 relations: 579723
- Wed Dec 7 11:23:27 2022 6 relations: 554154
- Wed Dec 7 11:23:27 2022 7 relations: 528313
- Wed Dec 7 11:23:27 2022 8 relations: 489984
- Wed Dec 7 11:23:27 2022 9 relations: 455285
- Wed Dec 7 11:23:27 2022 10+ relations: 2583029
- Wed Dec 7 11:23:27 2022 heaviest cycle: 28 relations
- Wed Dec 7 11:23:38 2022 RelProcTime: 1121
- Wed Dec 7 11:23:39 2022 elapsed time 00:18:43
- Wed Dec 7 11:23:41 2022
- Wed Dec 7 11:23:41 2022
- Wed Dec 7 11:23:41 2022 Msieve v. 1.54 (SVN Unversioned directory)
- Wed Dec 7 11:23:41 2022 random seeds: 8ecb0f1c becc5a00
- Wed Dec 7 11:23:41 2022 MPI process 0 of 1
- Wed Dec 7 11:23:41 2022 Using 32 OpenMP threads
- Wed Dec 7 11:23:41 2022 factoring 51276381220631050601395457948396132875800453994730190063206120298549919521704418919564359809723833785837297855838543476883096301154589400317024524520540356128251865593562159646207773382832638639035339980127949663907 (215 digits)
- Wed Dec 7 11:23:42 2022 no P-1/P+1/ECM available, skipping
- Wed Dec 7 11:23:42 2022 commencing number field sieve (215-digit input)
- Wed Dec 7 11:23:42 2022 R0: 1385958292650894673001267689147148914202
- Wed Dec 7 11:23:42 2022 R1: -37228460788097252101
- Wed Dec 7 11:23:42 2022 A0: -1
- Wed Dec 7 11:23:42 2022 A1: 3
- Wed Dec 7 11:23:42 2022 A2: 6
- Wed Dec 7 11:23:42 2022 A3: -4
- Wed Dec 7 11:23:42 2022 A4: -5
- Wed Dec 7 11:23:42 2022 A5: 1
- Wed Dec 7 11:23:42 2022 A6: 1
- Wed Dec 7 11:23:42 2022 skew 1.00, size 1.477e-11, alpha 3.126, combined = 8.294e-13 rroots = 6
- Wed Dec 7 11:23:42 2022
- Wed Dec 7 11:23:42 2022 commencing linear algebra
- Wed Dec 7 11:23:42 2022 using VBITS=128
- Wed Dec 7 11:23:42 2022 stopping after matrix build
- Wed Dec 7 11:23:42 2022 initialized process (0,0) of 1 x 1 grid
- Wed Dec 7 11:23:43 2022 read 7290505 cycles
- Wed Dec 7 11:23:57 2022 cycles contain 23794036 unique relations
- Wed Dec 7 11:24:28 2022 read 23794036 relations
- Wed Dec 7 11:24:32 2022 using 20 quadratic characters above 4294917295
- Wed Dec 7 11:24:41 2022 building initial matrix
- Wed Dec 7 11:28:53 2022 memory use: 2903.7 MB
- Wed Dec 7 11:29:02 2022 read 7290505 cycles
- Wed Dec 7 11:29:03 2022 matrix is 7290328 x 7290505 (3148.3 MB) with weight 891788065 (122.32/col)
- Wed Dec 7 11:29:03 2022 sparse part has weight 752397306 (103.20/col)
- Wed Dec 7 11:30:11 2022 filtering completed in 2 passes
- Wed Dec 7 11:30:12 2022 matrix is 7290175 x 7290348 (3148.3 MB) with weight 891782972 (122.32/col)
- Wed Dec 7 11:30:12 2022 sparse part has weight 752395330 (103.20/col)
- Wed Dec 7 11:30:29 2022 BLanczosTime: 407
- Wed Dec 7 11:30:29 2022 elapsed time 00:06:48
- Wed Dec 7 13:32:37 2022
- Wed Dec 7 13:32:37 2022
- Wed Dec 7 13:32:37 2022 Msieve v. 1.54 (SVN unknown)
- Wed Dec 7 13:32:37 2022 random seeds: d1b31a41 dcef1e76
- Wed Dec 7 13:32:37 2022 MPI process 0 of 4
- Wed Dec 7 13:32:37 2022 Using 16 OpenMP threads
- Wed Dec 7 13:32:37 2022 factoring 51276381220631050601395457948396132875800453994730190063206120298549919521704418919564359809723833785837297855838543476883096301154589400317024524520540356128251865593562159646207773382832638639035339980127949663907 (215 digits)
- Wed Dec 7 13:32:38 2022 no P-1/P+1/ECM available, skipping
- Wed Dec 7 13:32:38 2022 commencing number field sieve (215-digit input)
- Wed Dec 7 13:32:38 2022 R0: 1385958292650894673001267689147148914202
- Wed Dec 7 13:32:38 2022 R1: -37228460788097252101
- Wed Dec 7 13:32:38 2022 A0: -1
- Wed Dec 7 13:32:38 2022 A1: 3
- Wed Dec 7 13:32:38 2022 A2: 6
- Wed Dec 7 13:32:38 2022 A3: -4
- Wed Dec 7 13:32:38 2022 A4: -5
- Wed Dec 7 13:32:38 2022 A5: 1
- Wed Dec 7 13:32:38 2022 A6: 1
- Wed Dec 7 13:32:38 2022 skew 1.00, size 1.477e-11, alpha 3.126, combined = 8.294e-13 rroots = 6
- Wed Dec 7 13:32:38 2022
- Wed Dec 7 13:32:38 2022 commencing linear algebra
- Wed Dec 7 13:32:38 2022 using VBITS=256
- Wed Dec 7 13:32:38 2022 skipping matrix build
- Wed Dec 7 13:32:38 2022 initialized process (0,0) of 2 x 2 grid
- Wed Dec 7 13:32:42 2022 matrix starts at (0, 0)
- Wed Dec 7 13:32:42 2022 matrix is 3645208 x 3645160 (924.1 MB) with weight 275476428 (75.57/col)
- Wed Dec 7 13:32:42 2022 sparse part has weight 205785708 (56.45/col)
- Wed Dec 7 13:32:42 2022 saving the first 240 matrix rows for later
- Wed Dec 7 13:32:43 2022 matrix includes 256 packed rows
- Wed Dec 7 13:32:44 2022 matrix is 3644968 x 3645160 (819.8 MB) with weight 170539513 (46.79/col)
- Wed Dec 7 13:32:44 2022 sparse part has weight 156589217 (42.96/col)
- Wed Dec 7 13:32:44 2022 using GPU 0 (NVIDIA A100-SXM4-40GB)
- Wed Dec 7 13:32:44 2022 selected card has CUDA arch 8.0
- Wed Dec 7 13:32:51 2022 commencing Lanczos iteration
- Wed Dec 7 13:32:51 2022 memory use: 1889.9 MB
- Wed Dec 7 13:32:55 2022 linear algebra at 0.4%, ETA 0h15m
- Wed Dec 7 13:33:01 2022 checking every 460000 dimensions, checkpointing every 28060000 dimensions
- Wed Dec 7 13:47:56 2022 lanczos halted after 28564 iterations (dim = 7289932)
- Wed Dec 7 13:48:17 2022 recovered 33 nontrivial dependencies
- Wed Dec 7 13:48:17 2022 BLanczosTime: 939
- Wed Dec 7 13:48:17 2022 elapsed time 00:15:40
- Wed Dec 7 12:01:24 2022
- Wed Dec 7 12:01:24 2022
- Wed Dec 7 12:01:24 2022 Msieve v. 1.54 (SVN Unversioned directory)
- Wed Dec 7 12:01:24 2022 random seeds: 0c18c500 2f057772
- Wed Dec 7 12:01:24 2022 MPI process 0 of 1
- Wed Dec 7 12:01:24 2022 Using 32 OpenMP threads
- Wed Dec 7 12:01:24 2022 factoring 51276381220631050601395457948396132875800453994730190063206120298549919521704418919564359809723833785837297855838543476883096301154589400317024524520540356128251865593562159646207773382832638639035339980127949663907 (215 digits)
- Wed Dec 7 12:01:26 2022 no P-1/P+1/ECM available, skipping
- Wed Dec 7 12:01:26 2022 commencing number field sieve (215-digit input)
- Wed Dec 7 12:01:26 2022 R0: 1385958292650894673001267689147148914202
- Wed Dec 7 12:01:26 2022 R1: -37228460788097252101
- Wed Dec 7 12:01:26 2022 A0: -1
- Wed Dec 7 12:01:26 2022 A1: 3
- Wed Dec 7 12:01:26 2022 A2: 6
- Wed Dec 7 12:01:26 2022 A3: -4
- Wed Dec 7 12:01:26 2022 A4: -5
- Wed Dec 7 12:01:26 2022 A5: 1
- Wed Dec 7 12:01:26 2022 A6: 1
- Wed Dec 7 12:01:26 2022 skew 1.00, size 1.477e-11, alpha 3.126, combined = 8.294e-13 rroots = 6
- Wed Dec 7 12:01:26 2022
- Wed Dec 7 12:01:26 2022 commencing square root phase
- Wed Dec 7 12:01:26 2022 reading relations for dependency 1
- Wed Dec 7 12:01:27 2022 read 3644950 cycles
- Wed Dec 7 12:01:32 2022 cycles contain 11897220 unique relations
- Wed Dec 7 12:01:48 2022 read 11897220 relations
- Wed Dec 7 12:02:34 2022 multiplying 11897220 relations
- Wed Dec 7 12:03:50 2022 multiply complete, coefficients have about 292.09 million bits
- Wed Dec 7 12:03:51 2022 initial square root is modulo 174241
- Wed Dec 7 12:06:01 2022 GCD is N, no factor found
- Wed Dec 7 12:06:01 2022 reading relations for dependency 2
- Wed Dec 7 12:06:02 2022 read 3644976 cycles
- Wed Dec 7 12:06:09 2022 cycles contain 11899588 unique relations
- Wed Dec 7 12:06:24 2022 read 11899588 relations
- Wed Dec 7 12:07:06 2022 multiplying 11899588 relations
- Wed Dec 7 12:08:21 2022 multiply complete, coefficients have about 292.14 million bits
- Wed Dec 7 12:08:23 2022 initial square root is modulo 174571
- Wed Dec 7 12:10:32 2022 GCD is 1, no factor found
- Wed Dec 7 12:10:32 2022 reading relations for dependency 3
- Wed Dec 7 12:10:33 2022 read 3645464 cycles
- Wed Dec 7 12:10:40 2022 cycles contain 11896310 unique relations
- Wed Dec 7 12:10:55 2022 read 11896310 relations
- Wed Dec 7 12:11:37 2022 multiplying 11896310 relations
- Wed Dec 7 12:12:52 2022 multiply complete, coefficients have about 292.06 million bits
- Wed Dec 7 12:12:54 2022 initial square root is modulo 174077
- Wed Dec 7 12:15:04 2022 GCD is N, no factor found
- Wed Dec 7 12:15:04 2022 reading relations for dependency 4
- Wed Dec 7 12:15:05 2022 read 3644277 cycles
- Wed Dec 7 12:15:12 2022 cycles contain 11895264 unique relations
- Wed Dec 7 12:15:27 2022 read 11895264 relations
- Wed Dec 7 12:16:07 2022 multiplying 11895264 relations
- Wed Dec 7 12:17:23 2022 multiply complete, coefficients have about 292.04 million bits
- Wed Dec 7 12:17:24 2022 initial square root is modulo 173851
- Wed Dec 7 12:19:35 2022 GCD is N, no factor found
- Wed Dec 7 12:19:35 2022 reading relations for dependency 5
- Wed Dec 7 12:19:35 2022 read 3645361 cycles
- Wed Dec 7 12:19:42 2022 cycles contain 11897106 unique relations
- Wed Dec 7 12:19:57 2022 read 11897106 relations
- Wed Dec 7 12:20:38 2022 multiplying 11897106 relations
- Wed Dec 7 12:21:55 2022 multiply complete, coefficients have about 292.08 million bits
- Wed Dec 7 12:21:56 2022 initial square root is modulo 174137
- Wed Dec 7 12:24:07 2022 GCD is 1, no factor found
- Wed Dec 7 12:24:07 2022 reading relations for dependency 6
- Wed Dec 7 12:24:08 2022 read 3645771 cycles
- Wed Dec 7 12:24:15 2022 cycles contain 11898516 unique relations
- Wed Dec 7 12:24:30 2022 read 11898516 relations
- Wed Dec 7 12:25:11 2022 multiplying 11898516 relations
- Wed Dec 7 12:26:27 2022 multiply complete, coefficients have about 292.11 million bits
- Wed Dec 7 12:26:28 2022 initial square root is modulo 174389
- Wed Dec 7 12:28:39 2022 sqrtTime: 1633
- Wed Dec 7 12:28:39 2022 p96 factor: 503771653338540662062484570280663355748097665369787199285122133633696838516764146581049550020787
- Wed Dec 7 12:28:39 2022 p120 factor: 101784967218416913210605574943707657855341926084281858137196814398915098921174930292732673594308552692541542419404935761
- Wed Dec 7 12:28:39 2022 elapsed time 00:27:15
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