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- Sat May 03 11:04:49 2025
- Sat May 03 11:04:49 2025
- Sat May 03 11:04:49 2025 Msieve v. 1.52 (SVN unknown)
- Sat May 03 11:04:49 2025 random seeds: 565c4efc f5d6c76b
- Sat May 03 11:04:49 2025 factoring 109597132847306151203165047585761869971123474487389503676380820359664369842101044981345320673857500599899666688012889943528188801755915819015803817821867547346680985564761 (171 digits)
- Sat May 03 11:04:50 2025 no P-1/P+1/ECM available, skipping
- Sat May 03 11:04:50 2025 commencing number field sieve (171-digit input)
- Sat May 03 11:04:50 2025 R0: 708801874985091845381344307009569161216
- Sat May 03 11:04:50 2025 R1: -2651730845859653471779023381601
- Sat May 03 11:04:50 2025 A0: 144
- Sat May 03 11:04:50 2025 A1: 0
- Sat May 03 11:04:50 2025 A2: 0
- Sat May 03 11:04:50 2025 A3: 84
- Sat May 03 11:04:50 2025 A4: 0
- Sat May 03 11:04:50 2025 A5: 0
- Sat May 03 11:04:50 2025 A6: 49
- Sat May 03 11:04:50 2025 skew 1.20, size 1.046e-011, alpha -0.442, combined = 6.695e-013 rroots = 0
- Sat May 03 11:04:50 2025
- Sat May 03 11:04:50 2025 commencing relation filtering
- Sat May 03 11:04:50 2025 setting target matrix density to 100.0
- Sat May 03 11:04:50 2025 estimated available RAM is 16289.0 MB
- Sat May 03 11:04:50 2025 commencing duplicate removal, pass 1
- Sat May 03 11:05:09 2025 error -9 reading relation 2936200
- Sat May 03 11:05:26 2025 error -15 reading relation 5597679
- Sat May 03 11:06:29 2025 error -9 reading relation 15711663
- Sat May 03 11:18:22 2025 error -9 reading relation 128329265
- Sat May 03 11:18:22 2025 error -15 reading relation 128351147
- Sat May 03 11:18:53 2025 error -9 reading relation 131198873
- Sat May 03 11:18:53 2025 error -15 reading relation 131213713
- Sat May 03 11:18:55 2025 skipped 16 relations with b > 2^32
- Sat May 03 11:18:55 2025 found 27206119 hash collisions in 131434634 relations
- Sat May 03 11:19:16 2025 added 813062 free relations
- Sat May 03 11:19:16 2025 commencing duplicate removal, pass 2
- Sat May 03 11:23:37 2025 found 26827964 duplicates and 105419732 unique relations
- Sat May 03 11:23:37 2025 memory use: 660.8 MB
- Sat May 03 11:23:37 2025 reading ideals above 110034944
- Sat May 03 11:23:37 2025 commencing singleton removal, initial pass
- Sat May 03 11:37:49 2025 memory use: 1506.0 MB
- Sat May 03 11:37:50 2025 reading all ideals from disk
- Sat May 03 11:38:19 2025 memory use: 1715.4 MB
- Sat May 03 11:38:22 2025 commencing in-memory singleton removal
- Sat May 03 11:38:24 2025 begin with 105419732 relations and 80003482 unique ideals
- Sat May 03 11:38:58 2025 reduce to 73148963 relations and 44826532 ideals in 13 passes
- Sat May 03 11:38:58 2025 max relations containing the same ideal: 42
- Sat May 03 11:39:03 2025 reading ideals above 720000
- Sat May 03 11:39:04 2025 commencing singleton removal, initial pass
- Sat May 03 11:51:33 2025 memory use: 1506.0 MB
- Sat May 03 11:51:33 2025 reading all ideals from disk
- Sat May 03 11:52:17 2025 memory use: 2772.6 MB
- Sat May 03 11:52:24 2025 keeping 57050683 ideals with weight <= 200, target excess is 385978
- Sat May 03 11:52:31 2025 commencing in-memory singleton removal
- Sat May 03 11:52:37 2025 begin with 73148964 relations and 57050683 unique ideals
- Sat May 03 11:53:24 2025 reduce to 73129931 relations and 57031643 ideals in 8 passes
- Sat May 03 11:53:24 2025 max relations containing the same ideal: 200
- Sat May 03 11:53:54 2025 removing 8316189 relations and 6316189 ideals in 2000000 cliques
- Sat May 03 11:53:56 2025 commencing in-memory singleton removal
- Sat May 03 11:54:01 2025 begin with 64813742 relations and 57031643 unique ideals
- Sat May 03 11:54:37 2025 reduce to 64085794 relations and 49962992 ideals in 7 passes
- Sat May 03 11:54:37 2025 max relations containing the same ideal: 192
- Sat May 03 11:55:03 2025 removing 6624421 relations and 4624421 ideals in 2000000 cliques
- Sat May 03 11:55:05 2025 commencing in-memory singleton removal
- Sat May 03 11:55:09 2025 begin with 57461373 relations and 49962992 unique ideals
- Sat May 03 11:55:41 2025 reduce to 56956351 relations and 44818146 ideals in 7 passes
- Sat May 03 11:55:41 2025 max relations containing the same ideal: 182
- Sat May 03 11:56:05 2025 removing 6142945 relations and 4142945 ideals in 2000000 cliques
- Sat May 03 11:56:07 2025 commencing in-memory singleton removal
- Sat May 03 11:56:11 2025 begin with 50813406 relations and 44818146 unique ideals
- Sat May 03 11:56:39 2025 reduce to 50361738 relations and 40208956 ideals in 7 passes
- Sat May 03 11:56:39 2025 max relations containing the same ideal: 167
- Sat May 03 11:57:00 2025 removing 5886562 relations and 3886562 ideals in 2000000 cliques
- Sat May 03 11:57:02 2025 commencing in-memory singleton removal
- Sat May 03 11:57:05 2025 begin with 44475176 relations and 40208956 unique ideals
- Sat May 03 11:57:29 2025 reduce to 44038993 relations and 35870800 ideals in 7 passes
- Sat May 03 11:57:29 2025 max relations containing the same ideal: 150
- Sat May 03 11:57:48 2025 removing 5719430 relations and 3719430 ideals in 2000000 cliques
- Sat May 03 11:57:49 2025 commencing in-memory singleton removal
- Sat May 03 11:57:52 2025 begin with 38319563 relations and 35870800 unique ideals
- Sat May 03 11:58:13 2025 reduce to 37881992 relations and 31696750 ideals in 7 passes
- Sat May 03 11:58:13 2025 max relations containing the same ideal: 139
- Sat May 03 11:58:29 2025 removing 5587212 relations and 3587212 ideals in 2000000 cliques
- Sat May 03 11:58:31 2025 commencing in-memory singleton removal
- Sat May 03 11:58:33 2025 begin with 32294780 relations and 31696750 unique ideals
- Sat May 03 11:58:50 2025 reduce to 31829905 relations and 27624132 ideals in 7 passes
- Sat May 03 11:58:50 2025 max relations containing the same ideal: 124
- Sat May 03 11:59:04 2025 removing 5490229 relations and 3490229 ideals in 2000000 cliques
- Sat May 03 11:59:05 2025 commencing in-memory singleton removal
- Sat May 03 11:59:07 2025 begin with 26339676 relations and 27624132 unique ideals
- Sat May 03 11:59:21 2025 reduce to 25813566 relations and 23580374 ideals in 7 passes
- Sat May 03 11:59:21 2025 max relations containing the same ideal: 105
- Sat May 03 11:59:32 2025 removing 4931963 relations and 3146506 ideals in 1785457 cliques
- Sat May 03 11:59:33 2025 commencing in-memory singleton removal
- Sat May 03 11:59:35 2025 begin with 20881603 relations and 23580374 unique ideals
- Sat May 03 11:59:45 2025 reduce to 20313838 relations and 19833383 ideals in 7 passes
- Sat May 03 11:59:45 2025 max relations containing the same ideal: 90
- Sat May 03 11:59:54 2025 removing 182363 relations and 149643 ideals in 32720 cliques
- Sat May 03 11:59:55 2025 commencing in-memory singleton removal
- Sat May 03 11:59:56 2025 begin with 20131475 relations and 19833383 unique ideals
- Sat May 03 12:00:03 2025 reduce to 20130232 relations and 19682494 ideals in 5 passes
- Sat May 03 12:00:03 2025 max relations containing the same ideal: 87
- Sat May 03 12:00:07 2025 relations with 0 large ideals: 9594
- Sat May 03 12:00:07 2025 relations with 1 large ideals: 4604
- Sat May 03 12:00:07 2025 relations with 2 large ideals: 61590
- Sat May 03 12:00:07 2025 relations with 3 large ideals: 437669
- Sat May 03 12:00:07 2025 relations with 4 large ideals: 1661187
- Sat May 03 12:00:07 2025 relations with 5 large ideals: 3753050
- Sat May 03 12:00:07 2025 relations with 6 large ideals: 5300518
- Sat May 03 12:00:07 2025 relations with 7+ large ideals: 8902020
- Sat May 03 12:00:07 2025 commencing 2-way merge
- Sat May 03 12:00:19 2025 reduce to 14145269 relation sets and 13697531 unique ideals
- Sat May 03 12:00:19 2025 commencing full merge
- Sat May 03 12:05:12 2025 memory use: 1715.0 MB
- Sat May 03 12:05:15 2025 found 6704623 cycles, need 6651731
- Sat May 03 12:05:15 2025 weight of 6651731 cycles is about 665211330 (100.01/cycle)
- Sat May 03 12:05:15 2025 distribution of cycle lengths:
- Sat May 03 12:05:15 2025 1 relations: 249098
- Sat May 03 12:05:15 2025 2 relations: 469019
- Sat May 03 12:05:15 2025 3 relations: 595908
- Sat May 03 12:05:15 2025 4 relations: 633262
- Sat May 03 12:05:15 2025 5 relations: 653104
- Sat May 03 12:05:15 2025 6 relations: 634139
- Sat May 03 12:05:15 2025 7 relations: 591334
- Sat May 03 12:05:15 2025 8 relations: 531529
- Sat May 03 12:05:15 2025 9 relations: 461859
- Sat May 03 12:05:15 2025 10+ relations: 1832479
- Sat May 03 12:05:15 2025 heaviest cycle: 26 relations
- Sat May 03 12:05:20 2025 commencing cycle optimization
- Sat May 03 12:05:30 2025 start with 49071756 relations
- Sat May 03 12:07:23 2025 pruned 2222493 relations
- Sat May 03 12:07:23 2025 memory use: 1352.2 MB
- Sat May 03 12:07:23 2025 distribution of cycle lengths:
- Sat May 03 12:07:23 2025 1 relations: 249098
- Sat May 03 12:07:23 2025 2 relations: 482795
- Sat May 03 12:07:23 2025 3 relations: 625524
- Sat May 03 12:07:23 2025 4 relations: 664025
- Sat May 03 12:07:23 2025 5 relations: 690614
- Sat May 03 12:07:23 2025 6 relations: 666855
- Sat May 03 12:07:23 2025 7 relations: 620498
- Sat May 03 12:07:23 2025 8 relations: 549912
- Sat May 03 12:07:23 2025 9 relations: 470540
- Sat May 03 12:07:23 2025 10+ relations: 1631870
- Sat May 03 12:07:23 2025 heaviest cycle: 25 relations
- Sat May 03 12:07:33 2025 RelProcTime: 3763
- Sat May 03 12:07:33 2025
- Sat May 03 12:07:33 2025 commencing linear algebra
- Sat May 03 12:07:35 2025 read 6651731 cycles
- Sat May 03 12:07:46 2025 cycles contain 19920447 unique relations
- Sat May 03 12:11:59 2025 read 19920447 relations
- Sat May 03 12:12:30 2025 using 20 quadratic characters above 1073741420
- Sat May 03 12:13:49 2025 building initial matrix
- Sat May 03 12:17:42 2025 memory use: 2537.8 MB
- Sat May 03 12:19:20 2025 read 6651731 cycles
- Sat May 03 12:19:22 2025 matrix is 6651552 x 6651731 (2663.6 MB) with weight 763200260 (114.74/col)
- Sat May 03 12:19:22 2025 sparse part has weight 625069286 (93.97/col)
- Sat May 03 12:20:28 2025 filtering completed in 2 passes
- Sat May 03 12:20:30 2025 matrix is 6651233 x 6651412 (2663.5 MB) with weight 763189267 (114.74/col)
- Sat May 03 12:20:30 2025 sparse part has weight 625064741 (93.97/col)
- Sat May 03 12:21:24 2025 matrix starts at (0, 0)
- Sat May 03 12:21:26 2025 matrix is 6651233 x 6651412 (2663.5 MB) with weight 763189267 (114.74/col)
- Sat May 03 12:21:26 2025 sparse part has weight 625064741 (93.97/col)
- Sat May 03 12:21:26 2025 saving the first 48 matrix rows for later
- Sat May 03 12:21:28 2025 matrix includes 64 packed rows
- Sat May 03 12:21:30 2025 matrix is 6651185 x 6651412 (2535.8 MB) with weight 646015068 (97.12/col)
- Sat May 03 12:21:30 2025 sparse part has weight 598222607 (89.94/col)
- Sat May 03 12:21:30 2025 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
- Sat May 03 12:21:59 2025 commencing Lanczos iteration (4 threads)
- Sat May 03 12:21:59 2025 memory use: 2116.4 MB
- Sat May 03 12:22:41 2025 linear algebra at 0.0%, ETA 48h40m
- Sat May 03 12:22:55 2025 checkpointing every 140000 dimensions
- Mon May 05 12:24:18 2025 lanczos halted after 105179 iterations (dim = 6651181)
- Mon May 05 12:24:24 2025 recovered 41 nontrivial dependencies
- Mon May 05 12:24:27 2025 BLanczosTime: 173814
- Mon May 05 12:24:27 2025
- Mon May 05 12:24:27 2025 commencing square root phase
- Mon May 05 12:24:27 2025 handling dependencies 1 to 64
- Mon May 05 12:24:27 2025 reading relations for dependency 1
- Mon May 05 12:24:29 2025 read 3325736 cycles
- Mon May 05 12:24:34 2025 cycles contain 9958876 unique relations
- Mon May 05 12:28:35 2025 read 9958876 relations
- Mon May 05 12:29:26 2025 multiplying 9958876 relations
- Mon May 05 12:38:39 2025 multiply complete, coefficients have about 303.41 million bits
- Mon May 05 12:38:43 2025 initial square root is modulo 278147
- Mon May 05 12:49:27 2025 GCD is N, no factor found
- Mon May 05 12:49:27 2025 reading relations for dependency 2
- Mon May 05 12:49:42 2025 read 3325885 cycles
- Mon May 05 12:49:47 2025 cycles contain 9959780 unique relations
- Mon May 05 12:53:38 2025 read 9959780 relations
- Mon May 05 12:54:28 2025 multiplying 9959780 relations
- Mon May 05 13:03:40 2025 multiply complete, coefficients have about 303.44 million bits
- Mon May 05 13:03:43 2025 initial square root is modulo 278489
- Mon May 05 13:14:24 2025 GCD is N, no factor found
- Mon May 05 13:14:24 2025 reading relations for dependency 3
- Mon May 05 13:14:39 2025 read 3324866 cycles
- Mon May 05 13:14:44 2025 cycles contain 9960080 unique relations
- Mon May 05 13:18:47 2025 read 9960080 relations
- Mon May 05 13:19:37 2025 multiplying 9960080 relations
- Mon May 05 13:28:49 2025 multiply complete, coefficients have about 303.44 million bits
- Mon May 05 13:28:53 2025 initial square root is modulo 278489
- Mon May 05 13:39:32 2025 Newton iteration failed to converge
- Mon May 05 13:39:33 2025 algebraic square root failed
- Mon May 05 13:39:33 2025 reading relations for dependency 4
- Mon May 05 13:39:46 2025 read 3324572 cycles
- Mon May 05 13:39:51 2025 cycles contain 9959458 unique relations
- Mon May 05 13:43:48 2025 read 9959458 relations
- Mon May 05 13:44:38 2025 multiplying 9959458 relations
- Mon May 05 13:53:51 2025 multiply complete, coefficients have about 303.43 million bits
- Mon May 05 13:53:54 2025 initial square root is modulo 278321
- Mon May 05 14:04:34 2025 Newton iteration failed to converge
- Mon May 05 14:04:34 2025 algebraic square root failed
- Mon May 05 14:04:34 2025 reading relations for dependency 5
- Mon May 05 14:04:49 2025 read 3323487 cycles
- Mon May 05 14:04:54 2025 cycles contain 9960234 unique relations
- Mon May 05 14:08:42 2025 read 9960234 relations
- Mon May 05 14:09:33 2025 multiplying 9960234 relations
- Mon May 05 14:18:45 2025 multiply complete, coefficients have about 303.44 million bits
- Mon May 05 14:18:49 2025 initial square root is modulo 278489
- Mon May 05 14:29:29 2025 Newton iteration failed to converge
- Mon May 05 14:29:29 2025 algebraic square root failed
- Mon May 05 14:29:29 2025 reading relations for dependency 6
- Mon May 05 14:29:44 2025 read 3324086 cycles
- Mon May 05 14:29:49 2025 cycles contain 9959454 unique relations
- Mon May 05 14:34:07 2025 read 9959454 relations
- Mon May 05 14:34:57 2025 multiplying 9959454 relations
- Mon May 05 14:44:10 2025 multiply complete, coefficients have about 303.43 million bits
- Mon May 05 14:44:13 2025 initial square root is modulo 278321
- Mon May 05 14:54:53 2025 Newton iteration failed to converge
- Mon May 05 14:54:53 2025 algebraic square root failed
- Mon May 05 14:54:53 2025 reading relations for dependency 7
- Mon May 05 14:55:09 2025 read 3325012 cycles
- Mon May 05 14:55:14 2025 cycles contain 9960070 unique relations
- Mon May 05 14:59:03 2025 read 9960070 relations
- Mon May 05 14:59:54 2025 multiplying 9960070 relations
- Mon May 05 15:09:06 2025 multiply complete, coefficients have about 303.44 million bits
- Mon May 05 15:09:09 2025 initial square root is modulo 278501
- Mon May 05 15:19:48 2025 GCD is N, no factor found
- Mon May 05 15:19:48 2025 reading relations for dependency 8
- Mon May 05 15:20:04 2025 read 3328062 cycles
- Mon May 05 15:20:09 2025 cycles contain 9967064 unique relations
- Mon May 05 15:23:58 2025 read 9967064 relations
- Mon May 05 15:24:48 2025 multiplying 9967064 relations
- Mon May 05 15:34:02 2025 multiply complete, coefficients have about 303.65 million bits
- Mon May 05 15:34:05 2025 initial square root is modulo 280913
- Mon May 05 15:44:46 2025 Newton iteration failed to converge
- Mon May 05 15:44:46 2025 algebraic square root failed
- Mon May 05 15:44:46 2025 reading relations for dependency 9
- Mon May 05 15:45:01 2025 read 3326755 cycles
- Mon May 05 15:45:06 2025 cycles contain 9962568 unique relations
- Mon May 05 15:49:17 2025 read 9962568 relations
- Mon May 05 15:50:07 2025 multiplying 9962568 relations
- Mon May 05 15:59:19 2025 multiply complete, coefficients have about 303.53 million bits
- Mon May 05 15:59:22 2025 initial square root is modulo 279479
- Mon May 05 16:10:02 2025 Newton iteration failed to converge
- Mon May 05 16:10:02 2025 algebraic square root failed
- Mon May 05 16:10:02 2025 reading relations for dependency 10
- Mon May 05 16:10:17 2025 read 3326567 cycles
- Mon May 05 16:10:22 2025 cycles contain 9965574 unique relations
- Mon May 05 16:14:23 2025 read 9965574 relations
- Mon May 05 16:15:14 2025 multiplying 9965574 relations
- Mon May 05 16:24:28 2025 multiply complete, coefficients have about 303.61 million bits
- Mon May 05 16:24:31 2025 initial square root is modulo 280451
- Mon May 05 16:35:05 2025 GCD is N, no factor found
- Mon May 05 16:35:05 2025 reading relations for dependency 11
- Mon May 05 16:35:20 2025 read 3325016 cycles
- Mon May 05 16:35:25 2025 cycles contain 9959238 unique relations
- Mon May 05 16:39:17 2025 read 9959238 relations
- Mon May 05 16:40:08 2025 multiplying 9959238 relations
- Mon May 05 16:49:20 2025 multiply complete, coefficients have about 303.41 million bits
- Mon May 05 16:49:23 2025 initial square root is modulo 278147
- Mon May 05 17:00:16 2025 GCD is N, no factor found
- Mon May 05 17:00:16 2025 reading relations for dependency 12
- Mon May 05 17:00:31 2025 read 3325881 cycles
- Mon May 05 17:00:36 2025 cycles contain 9960984 unique relations
- Mon May 05 17:04:30 2025 read 9960984 relations
- Mon May 05 17:05:21 2025 multiplying 9960984 relations
- Mon May 05 17:14:34 2025 multiply complete, coefficients have about 303.47 million bits
- Mon May 05 17:14:37 2025 initial square root is modulo 278813
- Mon May 05 17:25:20 2025 sqrtTime: 18053
- Mon May 05 17:25:20 2025 prp82 factor: 8395596805278413720660872952534995728043140729468650072732552890362150435664430851
- Mon May 05 17:25:20 2025 prp89 factor: 13054120557385640785167234179092108857119510686196853409240711869567596712827079079735411
- Mon May 05 17:25:20 2025 elapsed time 54:20:31
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