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- Tue Mar 28 23:44:57 2023
- Tue Mar 28 23:44:57 2023
- Tue Mar 28 23:44:57 2023 Msieve v. 1.54 (SVN 1028)
- Tue Mar 28 23:44:57 2023 random seeds: 79e8a8d1 b805e770
- Tue Mar 28 23:44:57 2023 factoring 179316786973739894066901291463753110574069470233302626586887446143977854931691623925501293019978636412624407255771120547887518074687606994101046040711695905012151389675358455377952713858881178720298599013788293374882455288141 (225 digits)
- Tue Mar 28 23:44:59 2023 no P-1/P+1/ECM available, skipping
- Tue Mar 28 23:44:59 2023 commencing number field sieve (225-digit input)
- Tue Mar 28 23:44:59 2023 R0: 21778071482940061661655974875633165533184
- Tue Mar 28 23:44:59 2023 R1: -1
- Tue Mar 28 23:44:59 2023 A0: -1
- Tue Mar 28 23:44:59 2023 A1: 0
- Tue Mar 28 23:44:59 2023 A2: 0
- Tue Mar 28 23:44:59 2023 A3: 0
- Tue Mar 28 23:44:59 2023 A4: 0
- Tue Mar 28 23:44:59 2023 A5: 0
- Tue Mar 28 23:44:59 2023 A6: 5
- Tue Mar 28 23:44:59 2023 skew 0.98, size 5.196e-12, alpha 2.301, combined = 3.953e-13 rroots = 2
- Tue Mar 28 23:44:59 2023
- Tue Mar 28 23:44:59 2023 commencing relation filtering
- Tue Mar 28 23:44:59 2023 setting target matrix density to 112.0
- Tue Mar 28 23:44:59 2023 estimated available RAM is 128848.2 MB
- Tue Mar 28 23:44:59 2023 commencing duplicate removal, pass 1
- Wed Mar 29 00:20:31 2023 skipped 126 relations with b > 2^32
- Wed Mar 29 00:20:31 2023 found 7762212 hash collisions in 187791562 relations
- Wed Mar 29 00:20:54 2023 added 1218700 free relations
- Wed Mar 29 00:20:54 2023 commencing duplicate removal, pass 2
- Wed Mar 29 00:22:20 2023 found 0 duplicates and 189010262 unique relations
- Wed Mar 29 00:22:20 2023 memory use: 522.4 MB
- Wed Mar 29 00:22:20 2023 reading ideals above 720000
- Wed Mar 29 00:22:20 2023 commencing singleton removal, initial pass
- Wed Mar 29 01:05:07 2023 memory use: 5512.0 MB
- Wed Mar 29 01:05:07 2023 reading all ideals from disk
- Wed Mar 29 01:05:14 2023 memory use: 7413.4 MB
- Wed Mar 29 01:06:08 2023 keeping 188517993 ideals with weight <= 200, target excess is 1072246
- Wed Mar 29 01:07:09 2023 commencing in-memory singleton removal
- Wed Mar 29 01:07:51 2023 begin with 189010262 relations and 188517993 unique ideals
- Wed Mar 29 01:14:56 2023 reduce to 87677438 relations and 73863486 ideals in 15 passes
- Wed Mar 29 01:14:56 2023 max relations containing the same ideal: 122
- Wed Mar 29 01:16:17 2023 removing 11150322 relations and 9150322 ideals in 2000000 cliques
- Wed Mar 29 01:16:21 2023 commencing in-memory singleton removal
- Wed Mar 29 01:16:33 2023 begin with 76527116 relations and 73863486 unique ideals
- Wed Mar 29 01:19:33 2023 reduce to 75492323 relations and 63649757 ideals in 11 passes
- Wed Mar 29 01:19:33 2023 max relations containing the same ideal: 114
- Wed Mar 29 01:20:36 2023 removing 8637467 relations and 6637467 ideals in 2000000 cliques
- Wed Mar 29 01:20:40 2023 commencing in-memory singleton removal
- Wed Mar 29 01:20:49 2023 begin with 66854856 relations and 63649757 unique ideals
- Wed Mar 29 01:22:51 2023 reduce to 66102071 relations and 56240096 ideals in 9 passes
- Wed Mar 29 01:22:51 2023 max relations containing the same ideal: 104
- Wed Mar 29 01:23:48 2023 removing 7921107 relations and 5921107 ideals in 2000000 cliques
- Wed Mar 29 01:23:52 2023 commencing in-memory singleton removal
- Wed Mar 29 01:24:00 2023 begin with 58180964 relations and 56240096 unique ideals
- Wed Mar 29 01:25:54 2023 reduce to 57461123 relations and 49579186 ideals in 10 passes
- Wed Mar 29 01:25:54 2023 max relations containing the same ideal: 97
- Wed Mar 29 01:26:42 2023 removing 7585136 relations and 5585136 ideals in 2000000 cliques
- Wed Mar 29 01:26:46 2023 commencing in-memory singleton removal
- Wed Mar 29 01:26:52 2023 begin with 49875987 relations and 49579186 unique ideals
- Wed Mar 29 01:28:24 2023 reduce to 49124265 relations and 43219068 ideals in 10 passes
- Wed Mar 29 01:28:24 2023 max relations containing the same ideal: 85
- Wed Mar 29 01:29:06 2023 removing 7420082 relations and 5420082 ideals in 2000000 cliques
- Wed Mar 29 01:29:09 2023 commencing in-memory singleton removal
- Wed Mar 29 01:29:14 2023 begin with 41704183 relations and 43219068 unique ideals
- Wed Mar 29 01:30:24 2023 reduce to 40864842 relations and 36929617 ideals in 9 passes
- Wed Mar 29 01:30:24 2023 max relations containing the same ideal: 75
- Wed Mar 29 01:30:59 2023 removing 7358112 relations and 5358112 ideals in 2000000 cliques
- Wed Mar 29 01:31:02 2023 commencing in-memory singleton removal
- Wed Mar 29 01:31:06 2023 begin with 33506730 relations and 36929617 unique ideals
- Wed Mar 29 01:32:01 2023 reduce to 32499164 relations and 30520521 ideals in 9 passes
- Wed Mar 29 01:32:01 2023 max relations containing the same ideal: 64
- Wed Mar 29 01:32:30 2023 removing 3419579 relations and 2684742 ideals in 734837 cliques
- Wed Mar 29 01:32:32 2023 commencing in-memory singleton removal
- Wed Mar 29 01:32:35 2023 begin with 29079585 relations and 30520521 unique ideals
- Wed Mar 29 01:33:17 2023 reduce to 28817085 relations and 27568213 ideals in 8 passes
- Wed Mar 29 01:33:17 2023 max relations containing the same ideal: 57
- Wed Mar 29 01:33:46 2023 relations with 0 large ideals: 40204
- Wed Mar 29 01:33:46 2023 relations with 1 large ideals: 32186
- Wed Mar 29 01:33:46 2023 relations with 2 large ideals: 353601
- Wed Mar 29 01:33:46 2023 relations with 3 large ideals: 1793881
- Wed Mar 29 01:33:46 2023 relations with 4 large ideals: 4866926
- Wed Mar 29 01:33:46 2023 relations with 5 large ideals: 7684940
- Wed Mar 29 01:33:46 2023 relations with 6 large ideals: 7349712
- Wed Mar 29 01:33:46 2023 relations with 7+ large ideals: 6695635
- Wed Mar 29 01:33:46 2023 commencing 2-way merge
- Wed Mar 29 01:34:16 2023 reduce to 17352615 relation sets and 16103743 unique ideals
- Wed Mar 29 01:34:16 2023 commencing full merge
- Wed Mar 29 01:45:25 2023 memory use: 2059.5 MB
- Wed Mar 29 01:45:28 2023 found 7950747 cycles, need 7827943
- Wed Mar 29 01:45:33 2023 weight of 7827943 cycles is about 876798993 (112.01/cycle)
- Wed Mar 29 01:45:33 2023 distribution of cycle lengths:
- Wed Mar 29 01:45:33 2023 1 relations: 567281
- Wed Mar 29 01:45:33 2023 2 relations: 548188
- Wed Mar 29 01:45:33 2023 3 relations: 568504
- Wed Mar 29 01:45:33 2023 4 relations: 570886
- Wed Mar 29 01:45:33 2023 5 relations: 574756
- Wed Mar 29 01:45:33 2023 6 relations: 564235
- Wed Mar 29 01:45:33 2023 7 relations: 549198
- Wed Mar 29 01:45:33 2023 8 relations: 523837
- Wed Mar 29 01:45:33 2023 9 relations: 491964
- Wed Mar 29 01:45:33 2023 10+ relations: 2869094
- Wed Mar 29 01:45:33 2023 heaviest cycle: 28 relations
- Wed Mar 29 01:45:37 2023 commencing cycle optimization
- Wed Mar 29 01:46:07 2023 start with 64474013 relations
- Wed Mar 29 01:50:05 2023 pruned 2520478 relations
- Wed Mar 29 01:50:05 2023 memory use: 1824.1 MB
- Wed Mar 29 01:50:05 2023 distribution of cycle lengths:
- Wed Mar 29 01:50:05 2023 1 relations: 567281
- Wed Mar 29 01:50:05 2023 2 relations: 560443
- Wed Mar 29 01:50:05 2023 3 relations: 589479
- Wed Mar 29 01:50:05 2023 4 relations: 591339
- Wed Mar 29 01:50:05 2023 5 relations: 599941
- Wed Mar 29 01:50:05 2023 6 relations: 588190
- Wed Mar 29 01:50:05 2023 7 relations: 574188
- Wed Mar 29 01:50:05 2023 8 relations: 545995
- Wed Mar 29 01:50:05 2023 9 relations: 511752
- Wed Mar 29 01:50:05 2023 10+ relations: 2699335
- Wed Mar 29 01:50:05 2023 heaviest cycle: 27 relations
- Wed Mar 29 01:50:28 2023 RelProcTime: 7529
- Wed Mar 29 01:50:33 2023
- Wed Mar 29 01:50:33 2023 commencing linear algebra
- Wed Mar 29 01:50:34 2023 read 7827943 cycles
- Wed Mar 29 01:51:02 2023 cycles contain 27975399 unique relations
- Wed Mar 29 01:54:56 2023 read 27975399 relations
- Wed Mar 29 01:56:14 2023 using 20 quadratic characters above 4294917295
- Wed Mar 29 01:58:43 2023 building initial matrix
- Wed Mar 29 02:07:34 2023 memory use: 3416.1 MB
- Wed Mar 29 02:07:41 2023 read 7827943 cycles
- Wed Mar 29 02:07:43 2023 matrix is 7827762 x 7827943 (3440.6 MB) with weight 978988780 (125.06/col)
- Wed Mar 29 02:07:43 2023 sparse part has weight 823657266 (105.22/col)
- Wed Mar 29 02:10:52 2023 filtering completed in 2 passes
- Wed Mar 29 02:10:54 2023 matrix is 7826488 x 7826666 (3440.5 MB) with weight 978938524 (125.08/col)
- Wed Mar 29 02:10:54 2023 sparse part has weight 823632742 (105.23/col)
- Wed Mar 29 02:11:35 2023 matrix starts at (0, 0)
- Wed Mar 29 02:11:36 2023 matrix is 7826488 x 7826666 (3440.5 MB) with weight 978938524 (125.08/col)
- Wed Mar 29 02:11:36 2023 sparse part has weight 823632742 (105.23/col)
- Wed Mar 29 02:11:36 2023 saving the first 112 matrix rows for later
- Wed Mar 29 02:11:39 2023 matrix includes 128 packed rows
- Wed Mar 29 02:11:42 2023 matrix is 7826376 x 7826666 (3210.0 MB) with weight 790308846 (100.98/col)
- Wed Mar 29 02:11:42 2023 sparse part has weight 747572301 (95.52/col)
- Wed Mar 29 02:11:42 2023 using block size 8192 and superblock size 1228800 for processor cache size 25600 kB
- Wed Mar 29 02:12:21 2023 commencing Lanczos iteration (9 threads)
- Wed Mar 29 02:12:21 2023 memory use: 3571.9 MB
- Wed Mar 29 02:13:02 2023 linear algebra at 0.0%, ETA 54h11m
- Wed Mar 29 02:13:15 2023 checkpointing every 150000 dimensions
- Thu Mar 30 21:11:13 2023 lanczos halted after 61513 iterations (dim = 7826373)
- Thu Mar 30 21:11:32 2023 recovered 34 nontrivial dependencies
- Thu Mar 30 21:11:33 2023 BLanczosTime: 156060
- Thu Mar 30 21:11:33 2023
- Thu Mar 30 21:11:33 2023 commencing square root phase
- Thu Mar 30 21:11:33 2023 handling dependencies 1 to 64
- Thu Mar 30 21:11:33 2023 reading relations for dependency 1
- Thu Mar 30 21:11:34 2023 read 3912067 cycles
- Thu Mar 30 21:11:44 2023 cycles contain 13985050 unique relations
- Thu Mar 30 21:13:30 2023 read 13985050 relations
- Thu Mar 30 21:15:03 2023 multiplying 13985050 relations
- Thu Mar 30 21:26:33 2023 multiply complete, coefficients have about 382.30 million bits
- Thu Mar 30 21:26:35 2023 initial square root is modulo 7240243
- Thu Mar 30 21:39:27 2023 GCD is N, no factor found
- Thu Mar 30 21:39:27 2023 reading relations for dependency 2
- Thu Mar 30 21:39:28 2023 read 3914698 cycles
- Thu Mar 30 21:39:39 2023 cycles contain 13991646 unique relations
- Thu Mar 30 21:41:22 2023 read 13991646 relations
- Thu Mar 30 21:42:56 2023 multiplying 13991646 relations
- Thu Mar 30 21:54:28 2023 multiply complete, coefficients have about 382.48 million bits
- Thu Mar 30 21:54:30 2023 initial square root is modulo 7292227
- Thu Mar 30 22:07:40 2023 GCD is 1, no factor found
- Thu Mar 30 22:07:40 2023 reading relations for dependency 3
- Thu Mar 30 22:07:41 2023 read 3913213 cycles
- Thu Mar 30 22:07:51 2023 cycles contain 13990066 unique relations
- Thu Mar 30 22:09:37 2023 read 13990066 relations
- Thu Mar 30 22:11:13 2023 multiplying 13990066 relations
- Thu Mar 30 22:22:47 2023 multiply complete, coefficients have about 382.44 million bits
- Thu Mar 30 22:22:49 2023 initial square root is modulo 7281247
- Thu Mar 30 22:35:45 2023 sqrtTime: 5052
- Thu Mar 30 22:35:45 2023 p63 factor: 174999190675404335006221697800928465874034098371814991673683559
- Thu Mar 30 22:35:45 2023 p163 factor: 1024672092948955481046961564423536168852697789405361894141317220356259560193392987241531116017188140102434240960911610285848912107045587772886247431596163319456299
- Thu Mar 30 22:35:45 2023 elapsed time 46:50:48
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