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- Sat Nov 21 09:01:27 2020
- Sat Nov 21 09:01:27 2020
- Sat Nov 21 09:01:27 2020 Msieve v. 1.53 (SVN 988M)
- Sat Nov 21 09:01:27 2020 random seeds: 56b0ef35 ccb2274b
- Sat Nov 21 09:01:27 2020 factoring 837665227946434906285249290133082073769785273491214805714795286428138603574707956456375850747306153756349542905633361194548764463896451551787898603682451540345516662598748364245509 (180 digits)
- Sat Nov 21 09:01:28 2020 searching for 15-digit factors
- Sat Nov 21 09:01:29 2020 commencing number field sieve (180-digit input)
- Sat Nov 21 09:01:29 2020 R0: -41145427318101791984062855262036555
- Sat Nov 21 09:01:29 2020 R1: 12366451277742379
- Sat Nov 21 09:01:29 2020 A0: -10137236868442127513080507930078583262967584
- Sat Nov 21 09:01:29 2020 A1: 2903166912711932466067273101409510480
- Sat Nov 21 09:01:29 2020 A2: -76864374072950733609081939050
- Sat Nov 21 09:01:29 2020 A3: -25313751355577492189375
- Sat Nov 21 09:01:29 2020 A4: 76651249041324
- Sat Nov 21 09:01:29 2020 A5: 7103340
- Sat Nov 21 09:01:29 2020 skew 25222386.92, size 1.228e-17, alpha -7.607, combined = 8.044e-14 rroots = 3
- Sat Nov 21 09:01:29 2020
- Sat Nov 21 09:01:29 2020 commencing relation filtering
- Sat Nov 21 09:01:29 2020 setting target matrix density to 130.0
- Sat Nov 21 09:01:29 2020 estimated available RAM is 32768.0 MB
- Sat Nov 21 09:01:29 2020 commencing duplicate removal, pass 1
- Sat Nov 21 09:01:51 2020 error -15 reading relation 3160621
- Sat Nov 21 09:11:02 2020 error -15 reading relation 79010658
- Sat Nov 21 09:19:25 2020 error -15 reading relation 149387378
- Sat Nov 21 09:19:42 2020 error -15 reading relation 151864968
- Sat Nov 21 09:20:45 2020 error -15 reading relation 160522477
- Sat Nov 21 09:22:23 2020 error -15 reading relation 173638240
- Sat Nov 21 09:24:43 2020 error -15 reading relation 192487413
- Sat Nov 21 09:25:38 2020 error -15 reading relation 199930778
- Sat Nov 21 09:25:43 2020 skipped 3 relations with composite factors
- Sat Nov 21 09:25:43 2020 found 8813521 hash collisions in 200583435 relations
- Sat Nov 21 09:26:08 2020 added 121521 free relations
- Sat Nov 21 09:26:08 2020 commencing duplicate removal, pass 2
- Sat Nov 21 09:34:38 2020 found 8 duplicates and 200704948 unique relations
- Sat Nov 21 09:34:38 2020 memory use: 522.4 MB
- Sat Nov 21 09:34:38 2020 reading ideals above 188284928
- Sat Nov 21 09:34:38 2020 commencing singleton removal, initial pass
- Sat Nov 21 09:52:22 2020 memory use: 3012.0 MB
- Sat Nov 21 09:52:22 2020 reading all ideals from disk
- Sat Nov 21 09:53:44 2020 memory use: 3529.0 MB
- Sat Nov 21 09:53:52 2020 commencing in-memory singleton removal
- Sat Nov 21 09:54:00 2020 begin with 200704948 relations and 160534529 unique ideals
- Sat Nov 21 09:55:32 2020 reduce to 141549802 relations and 96284227 ideals in 13 passes
- Sat Nov 21 09:55:32 2020 max relations containing the same ideal: 45
- Sat Nov 21 09:55:49 2020 reading ideals above 720000
- Sat Nov 21 09:55:50 2020 commencing singleton removal, initial pass
- Sat Nov 21 10:12:52 2020 memory use: 3012.0 MB
- Sat Nov 21 10:12:52 2020 reading all ideals from disk
- Sat Nov 21 10:15:08 2020 memory use: 5837.2 MB
- Sat Nov 21 10:15:20 2020 keeping 116459961 ideals with weight <= 200, target excess is 748221
- Sat Nov 21 10:15:34 2020 commencing in-memory singleton removal
- Sat Nov 21 10:15:44 2020 begin with 141549802 relations and 116459961 unique ideals
- Sat Nov 21 10:17:15 2020 reduce to 141508518 relations and 116418674 ideals in 8 passes
- Sat Nov 21 10:17:15 2020 max relations containing the same ideal: 200
- Sat Nov 21 10:18:10 2020 removing 10399445 relations and 8399445 ideals in 2000000 cliques
- Sat Nov 21 10:18:14 2020 commencing in-memory singleton removal
- Sat Nov 21 10:18:24 2020 begin with 131109073 relations and 116418674 unique ideals
- Sat Nov 21 10:19:48 2020 reduce to 130508818 relations and 107407993 ideals in 8 passes
- Sat Nov 21 10:19:48 2020 max relations containing the same ideal: 198
- Sat Nov 21 10:20:39 2020 removing 8037316 relations and 6037316 ideals in 2000000 cliques
- Sat Nov 21 10:20:43 2020 commencing in-memory singleton removal
- Sat Nov 21 10:20:51 2020 begin with 122471502 relations and 107407993 unique ideals
- Sat Nov 21 10:22:10 2020 reduce to 122064388 relations and 100957123 ideals in 8 passes
- Sat Nov 21 10:22:10 2020 max relations containing the same ideal: 190
- Sat Nov 21 10:22:58 2020 removing 7347538 relations and 5347538 ideals in 2000000 cliques
- Sat Nov 21 10:23:01 2020 commencing in-memory singleton removal
- Sat Nov 21 10:23:09 2020 begin with 114716850 relations and 100957123 unique ideals
- Sat Nov 21 10:24:17 2020 reduce to 114350778 relations and 95237942 ideals in 7 passes
- Sat Nov 21 10:24:17 2020 max relations containing the same ideal: 186
- Sat Nov 21 10:25:09 2020 removing 7009124 relations and 5009124 ideals in 2000000 cliques
- Sat Nov 21 10:25:13 2020 commencing in-memory singleton removal
- Sat Nov 21 10:25:21 2020 begin with 107341654 relations and 95237942 unique ideals
- Sat Nov 21 10:26:20 2020 reduce to 106990906 relations and 89872420 ideals in 6 passes
- Sat Nov 21 10:26:20 2020 max relations containing the same ideal: 180
- Sat Nov 21 10:27:09 2020 removing 6809690 relations and 4809690 ideals in 2000000 cliques
- Sat Nov 21 10:27:13 2020 commencing in-memory singleton removal
- Sat Nov 21 10:27:21 2020 begin with 100181216 relations and 89872420 unique ideals
- Sat Nov 21 10:28:22 2020 reduce to 99834000 relations and 84709695 ideals in 7 passes
- Sat Nov 21 10:28:22 2020 max relations containing the same ideal: 169
- Sat Nov 21 10:29:09 2020 removing 6694371 relations and 4694371 ideals in 2000000 cliques
- Sat Nov 21 10:29:12 2020 commencing in-memory singleton removal
- Sat Nov 21 10:29:20 2020 begin with 93139629 relations and 84709695 unique ideals
- Sat Nov 21 10:30:16 2020 reduce to 92784457 relations and 79653830 ideals in 7 passes
- Sat Nov 21 10:30:16 2020 max relations containing the same ideal: 163
- Sat Nov 21 10:30:53 2020 removing 6630512 relations and 4630512 ideals in 2000000 cliques
- Sat Nov 21 10:30:56 2020 commencing in-memory singleton removal
- Sat Nov 21 10:31:02 2020 begin with 86153945 relations and 79653830 unique ideals
- Sat Nov 21 10:31:55 2020 reduce to 85783466 relations and 74645901 ideals in 8 passes
- Sat Nov 21 10:31:55 2020 max relations containing the same ideal: 157
- Sat Nov 21 10:32:30 2020 removing 6605562 relations and 4605562 ideals in 2000000 cliques
- Sat Nov 21 10:32:32 2020 commencing in-memory singleton removal
- Sat Nov 21 10:32:37 2020 begin with 79177904 relations and 74645901 unique ideals
- Sat Nov 21 10:33:20 2020 reduce to 78783432 relations and 69637789 ideals in 7 passes
- Sat Nov 21 10:33:20 2020 max relations containing the same ideal: 145
- Sat Nov 21 10:33:52 2020 removing 6614741 relations and 4614741 ideals in 2000000 cliques
- Sat Nov 21 10:33:54 2020 commencing in-memory singleton removal
- Sat Nov 21 10:33:59 2020 begin with 72168691 relations and 69637789 unique ideals
- Sat Nov 21 10:34:38 2020 reduce to 71739564 relations and 64584714 ideals in 7 passes
- Sat Nov 21 10:34:38 2020 max relations containing the same ideal: 136
- Sat Nov 21 10:35:07 2020 removing 6653367 relations and 4653367 ideals in 2000000 cliques
- Sat Nov 21 10:35:10 2020 commencing in-memory singleton removal
- Sat Nov 21 10:35:14 2020 begin with 65086197 relations and 64584714 unique ideals
- Sat Nov 21 10:35:49 2020 reduce to 64611240 relations and 59445325 ideals in 7 passes
- Sat Nov 21 10:35:49 2020 max relations containing the same ideal: 129
- Sat Nov 21 10:36:15 2020 removing 6730582 relations and 4730582 ideals in 2000000 cliques
- Sat Nov 21 10:36:18 2020 commencing in-memory singleton removal
- Sat Nov 21 10:36:21 2020 begin with 57880658 relations and 59445325 unique ideals
- Sat Nov 21 10:36:52 2020 reduce to 57342610 relations and 54162499 ideals in 7 passes
- Sat Nov 21 10:36:52 2020 max relations containing the same ideal: 120
- Sat Nov 21 10:37:16 2020 removing 6836009 relations and 4836009 ideals in 2000000 cliques
- Sat Nov 21 10:37:18 2020 commencing in-memory singleton removal
- Sat Nov 21 10:37:21 2020 begin with 50506601 relations and 54162499 unique ideals
- Sat Nov 21 10:37:55 2020 reduce to 49873740 relations and 48674924 ideals in 9 passes
- Sat Nov 21 10:37:55 2020 max relations containing the same ideal: 107
- Sat Nov 21 10:38:16 2020 removing 1639053 relations and 1308174 ideals in 330879 cliques
- Sat Nov 21 10:38:17 2020 commencing in-memory singleton removal
- Sat Nov 21 10:38:20 2020 begin with 48234687 relations and 48674924 unique ideals
- Sat Nov 21 10:38:42 2020 reduce to 48197534 relations and 47329375 ideals in 6 passes
- Sat Nov 21 10:38:42 2020 max relations containing the same ideal: 105
- Sat Nov 21 10:39:10 2020 relations with 0 large ideals: 2522
- Sat Nov 21 10:39:10 2020 relations with 1 large ideals: 5756
- Sat Nov 21 10:39:10 2020 relations with 2 large ideals: 93383
- Sat Nov 21 10:39:10 2020 relations with 3 large ideals: 715640
- Sat Nov 21 10:39:10 2020 relations with 4 large ideals: 2997332
- Sat Nov 21 10:39:10 2020 relations with 5 large ideals: 7555352
- Sat Nov 21 10:39:10 2020 relations with 6 large ideals: 12143331
- Sat Nov 21 10:39:10 2020 relations with 7+ large ideals: 24684218
- Sat Nov 21 10:39:10 2020 commencing 2-way merge
- Sat Nov 21 10:39:43 2020 reduce to 31959636 relation sets and 31091477 unique ideals
- Sat Nov 21 10:39:43 2020 commencing full merge
- Sat Nov 21 10:53:11 2020 memory use: 3976.8 MB
- Sat Nov 21 10:53:18 2020 found 14095608 cycles, need 14067677
- Sat Nov 21 10:53:19 2020 weight of 14067677 cycles is about 1828892415 (130.01/cycle)
- Sat Nov 21 10:53:19 2020 distribution of cycle lengths:
- Sat Nov 21 10:53:19 2020 1 relations: 625261
- Sat Nov 21 10:53:19 2020 2 relations: 854696
- Sat Nov 21 10:53:19 2020 3 relations: 985862
- Sat Nov 21 10:53:19 2020 4 relations: 1005758
- Sat Nov 21 10:53:19 2020 5 relations: 1021419
- Sat Nov 21 10:53:19 2020 6 relations: 1011126
- Sat Nov 21 10:53:19 2020 7 relations: 995839
- Sat Nov 21 10:53:19 2020 8 relations: 950740
- Sat Nov 21 10:53:19 2020 9 relations: 899140
- Sat Nov 21 10:53:19 2020 10+ relations: 5717836
- Sat Nov 21 10:53:19 2020 heaviest cycle: 28 relations
- Sat Nov 21 10:53:25 2020 commencing cycle optimization
- Sat Nov 21 10:53:59 2020 start with 125968263 relations
- Sat Nov 21 11:01:10 2020 pruned 6299634 relations
- Sat Nov 21 11:01:10 2020 memory use: 3291.9 MB
- Sat Nov 21 11:01:10 2020 distribution of cycle lengths:
- Sat Nov 21 11:01:10 2020 1 relations: 625261
- Sat Nov 21 11:01:10 2020 2 relations: 879957
- Sat Nov 21 11:01:10 2020 3 relations: 1032342
- Sat Nov 21 11:01:10 2020 4 relations: 1051569
- Sat Nov 21 11:01:10 2020 5 relations: 1077670
- Sat Nov 21 11:01:10 2020 6 relations: 1063441
- Sat Nov 21 11:01:10 2020 7 relations: 1052076
- Sat Nov 21 11:01:10 2020 8 relations: 1001208
- Sat Nov 21 11:01:10 2020 9 relations: 943350
- Sat Nov 21 11:01:10 2020 10+ relations: 5340803
- Sat Nov 21 11:01:10 2020 heaviest cycle: 28 relations
- Sat Nov 21 11:01:56 2020 RelProcTime: 7227
- Sat Nov 21 11:01:56 2020 elapsed time 02:00:29
- Sat Nov 21 17:01:18 2020
- Sat Nov 21 17:01:18 2020
- Sat Nov 21 17:01:18 2020 Msieve v. 1.53 (SVN 988M)
- Sat Nov 21 17:01:18 2020 random seeds: 636bb8ab 41c463ff
- Sat Nov 21 17:01:18 2020 factoring 837665227946434906285249290133082073769785273491214805714795286428138603574707956456375850747306153756349542905633361194548764463896451551787898603682451540345516662598748364245509 (180 digits)
- Sat Nov 21 17:01:19 2020 searching for 15-digit factors
- Sat Nov 21 17:01:20 2020 commencing number field sieve (180-digit input)
- Sat Nov 21 17:01:20 2020 R0: -41145427318101791984062855262036555
- Sat Nov 21 17:01:20 2020 R1: 12366451277742379
- Sat Nov 21 17:01:20 2020 A0: -10137236868442127513080507930078583262967584
- Sat Nov 21 17:01:20 2020 A1: 2903166912711932466067273101409510480
- Sat Nov 21 17:01:20 2020 A2: -76864374072950733609081939050
- Sat Nov 21 17:01:20 2020 A3: -25313751355577492189375
- Sat Nov 21 17:01:20 2020 A4: 76651249041324
- Sat Nov 21 17:01:20 2020 A5: 7103340
- Sat Nov 21 17:01:20 2020 skew 25222386.92, size 1.228e-17, alpha -7.607, combined = 8.044e-14 rroots = 3
- Sat Nov 21 17:01:20 2020
- Sat Nov 21 17:01:20 2020 commencing linear algebra
- Sat Nov 21 17:01:22 2020 read 14067677 cycles
- Sat Nov 21 17:01:54 2020 cycles contain 47760752 unique relations
- Sat Nov 21 17:10:25 2020 read 47760752 relations
- Sat Nov 21 17:12:50 2020 using 20 quadratic characters above 4294917295
- Sat Nov 21 17:15:34 2020 building initial matrix
- Sat Nov 21 17:24:28 2020 memory use: 6759.2 MB
- Sat Nov 21 17:24:53 2020 read 14067677 cycles
- Sat Nov 21 17:24:54 2020 matrix is 14067497 x 14067677 (7092.7 MB) with weight 2152815011 (153.03/col)
- Sat Nov 21 17:24:54 2020 sparse part has weight 1690507074 (120.17/col)
- Sat Nov 21 17:27:33 2020 filtering completed in 2 passes
- Sat Nov 21 17:27:36 2020 matrix is 14067361 x 14067541 (7092.7 MB) with weight 2152808382 (153.03/col)
- Sat Nov 21 17:27:36 2020 sparse part has weight 1690505120 (120.17/col)
- Sat Nov 21 17:31:04 2020 matrix starts at (0, 0)
- Sat Nov 21 17:31:06 2020 matrix is 14067361 x 14067541 (7092.7 MB) with weight 2152808382 (153.03/col)
- Sat Nov 21 17:31:06 2020 sparse part has weight 1690505120 (120.17/col)
- Sat Nov 21 17:31:06 2020 saving the first 48 matrix rows for later
- Sat Nov 21 17:31:08 2020 matrix includes 64 packed rows
- Sat Nov 21 17:31:09 2020 matrix is 14067313 x 14067541 (6910.1 MB) with weight 1855715594 (131.91/col)
- Sat Nov 21 17:31:09 2020 sparse part has weight 1670773308 (118.77/col)
- Sat Nov 21 17:31:09 2020 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
- Sat Nov 21 17:32:37 2020 commencing Lanczos iteration (16 threads)
- Sat Nov 21 17:32:37 2020 memory use: 5844.0 MB
- Sat Nov 21 17:32:55 2020 linear algebra at 0.0%, ETA 43h41m
- Sat Nov 21 17:33:00 2020 checkpointing every 340000 dimensions
- Mon Nov 23 13:46:05 2020
- Mon Nov 23 13:46:05 2020
- Mon Nov 23 13:46:05 2020 Msieve v. 1.53 (SVN 988M)
- Mon Nov 23 13:46:05 2020 random seeds: 3b7d279d ffa2e541
- Mon Nov 23 13:46:05 2020 factoring 837665227946434906285249290133082073769785273491214805714795286428138603574707956456375850747306153756349542905633361194548764463896451551787898603682451540345516662598748364245509 (180 digits)
- Mon Nov 23 13:46:06 2020 searching for 15-digit factors
- Mon Nov 23 13:46:07 2020 commencing number field sieve (180-digit input)
- Mon Nov 23 13:46:07 2020 R0: -41145427318101791984062855262036555
- Mon Nov 23 13:46:07 2020 R1: 12366451277742379
- Mon Nov 23 13:46:07 2020 A0: -10137236868442127513080507930078583262967584
- Mon Nov 23 13:46:07 2020 A1: 2903166912711932466067273101409510480
- Mon Nov 23 13:46:07 2020 A2: -76864374072950733609081939050
- Mon Nov 23 13:46:07 2020 A3: -25313751355577492189375
- Mon Nov 23 13:46:07 2020 A4: 76651249041324
- Mon Nov 23 13:46:07 2020 A5: 7103340
- Mon Nov 23 13:46:07 2020 skew 25222386.92, size 1.228e-17, alpha -7.607, combined = 8.044e-14 rroots = 3
- Mon Nov 23 13:46:07 2020
- Mon Nov 23 13:46:07 2020 commencing linear algebra
- Mon Nov 23 13:49:46 2020 matrix starts at (0, 0)
- Mon Nov 23 13:49:48 2020 matrix is 14067361 x 14067541 (7092.7 MB) with weight 2152808382 (153.03/col)
- Mon Nov 23 13:49:48 2020 sparse part has weight 1690505120 (120.17/col)
- Mon Nov 23 13:49:48 2020 saving the first 48 matrix rows for later
- Mon Nov 23 13:49:50 2020 matrix includes 64 packed rows
- Mon Nov 23 13:49:52 2020 matrix is 14067313 x 14067541 (6910.1 MB) with weight 1855715594 (131.91/col)
- Mon Nov 23 13:49:52 2020 sparse part has weight 1670773308 (118.77/col)
- Mon Nov 23 13:49:52 2020 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
- Mon Nov 23 13:51:22 2020 commencing Lanczos iteration (16 threads)
- Mon Nov 23 13:51:22 2020 memory use: 5844.0 MB
- Mon Nov 23 13:51:49 2020 restarting at iteration 220458 (dim = 13940050)
- Mon Nov 23 13:52:07 2020 linear algebra at 99.1%, ETA 0h24m
- Mon Nov 23 13:52:12 2020 checkpointing every 310000 dimensions
- Mon Nov 23 14:17:32 2020 lanczos halted after 222472 iterations (dim = 14067312)
- Mon Nov 23 14:17:44 2020 recovered 30 nontrivial dependencies
- Mon Nov 23 14:17:50 2020 BLanczosTime: 1903
- Mon Nov 23 14:17:50 2020
- Mon Nov 23 16:36:50 2020
- Mon Nov 23 16:36:51 2020 Msieve v. 1.53 (SVN 988M)
- Mon Nov 23 16:36:51 2020 random seeds: 0fe655fd 0548b42a
- Mon Nov 23 16:36:51 2020 factoring 837665227946434906285249290133082073769785273491214805714795286428138603574707956456375850747306153756349542905633361194548764463896451551787898603682451540345516662598748364245509 (180 digits)
- Mon Nov 23 16:36:51 2020 searching for 15-digit factors
- Mon Nov 23 16:36:52 2020 commencing number field sieve (180-digit input)
- Mon Nov 23 16:36:52 2020 R0: -41145427318101791984062855262036555
- Mon Nov 23 16:36:52 2020 R1: 12366451277742379
- Mon Nov 23 16:36:52 2020 A0: -10137236868442127513080507930078583262967584
- Mon Nov 23 16:36:52 2020 A1: 2903166912711932466067273101409510480
- Mon Nov 23 16:36:53 2020 A2: -76864374072950733609081939050
- Mon Nov 23 16:36:53 2020 A3: -25313751355577492189375
- Mon Nov 23 16:36:53 2020 A4: 76651249041324
- Mon Nov 23 16:36:53 2020 A5: 7103340
- Mon Nov 23 16:36:53 2020 skew 25222386.92, size 1.228e-17, alpha -7.607, combined = 8.044e-14 rroots = 3
- Mon Nov 23 16:36:53 2020
- Mon Nov 23 16:36:53 2020 commencing square root phase
- Mon Nov 23 16:36:53 2020 handling dependencies 11 to 15
- Mon Nov 23 16:36:53 2020 reading relations for dependency 11
- Mon Nov 23 16:36:56 2020 read 7034437 cycles
- Mon Nov 23 16:37:12 2020 cycles contain 23886066 unique relations
- Mon Nov 23 16:45:31 2020 read 23886066 relations
- Mon Nov 23 16:47:33 2020 multiplying 23886066 relations
- Mon Nov 23 17:12:36 2020 multiply complete, coefficients have about 1471.72 million bits
- Mon Nov 23 17:12:43 2020 initial square root is modulo 3997241
- Mon Nov 23 17:40:32 2020 sqrtTime: 3819
- Mon Nov 23 17:40:32 2020 p79 factor: 3957405750386562094847466159178975554292764438278704429144425199966447655485189
- Mon Nov 23 17:40:32 2020 p102 factor: 211670291292372836691384569646187596798716146044428082421023096174596764460717608376515272036137946881
- Mon Nov 23 17:40:32 2020 elapsed time 01:03:41
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