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- Sat Jul 25 09:46:42 2020
- Sat Jul 25 09:46:42 2020
- Sat Jul 25 09:46:42 2020 Msieve v. 1.53 (SVN 1005)
- Sat Jul 25 09:46:42 2020 random seeds: 307fae5c 4904e822
- Sat Jul 25 09:46:42 2020 factoring 16697374154631968504265316956426192544745650943495188030694670784656624784794777385264132822466320375547909681694794404948433945430961651451464374108728374909430401352640510986993 (179 digits)
- Sat Jul 25 09:46:42 2020 searching for 15-digit factors
- Sat Jul 25 09:46:43 2020 commencing number field sieve (179-digit input)
- Sat Jul 25 09:46:43 2020 R0: 178513261775594993287956037972113537210001
- Sat Jul 25 09:46:43 2020 R1: -1
- Sat Jul 25 09:46:43 2020 A0: -1
- Sat Jul 25 09:46:43 2020 A1: 0
- Sat Jul 25 09:46:43 2020 A2: 0
- Sat Jul 25 09:46:43 2020 A3: 0
- Sat Jul 25 09:46:43 2020 A4: 0
- Sat Jul 25 09:46:43 2020 A5: 7503751
- Sat Jul 25 09:46:43 2020 skew 0.04, size 3.008e-015, alpha 0.196, combined = 2.385e-012 rroots = 1
- Sat Jul 25 09:46:43 2020
- Sat Jul 25 09:46:43 2020 commencing relation filtering
- Sat Jul 25 09:46:43 2020 setting target matrix density to 130.0
- Sat Jul 25 09:46:43 2020 estimated available RAM is 16141.3 MB
- Sat Jul 25 09:46:43 2020 commencing duplicate removal, pass 1
- <1275 errors omitted>
- Sat Jul 25 09:53:34 2020 skipped 680 relations with b > 2^32
- Sat Jul 25 09:53:34 2020 skipped 38 relations with composite factors
- Sat Jul 25 09:53:34 2020 found 10763278 hash collisions in 61041366 relations
- Sat Jul 25 09:53:57 2020 added 732697 free relations
- Sat Jul 25 09:53:57 2020 commencing duplicate removal, pass 2
- Sat Jul 25 09:54:23 2020 found 9918803 duplicates and 51855260 unique relations
- Sat Jul 25 09:54:23 2020 memory use: 330.4 MB
- Sat Jul 25 09:54:23 2020 reading ideals above 720000
- Sat Jul 25 09:54:23 2020 commencing singleton removal, initial pass
- Sat Jul 25 09:59:45 2020 memory use: 1378.0 MB
- Sat Jul 25 09:59:45 2020 reading all ideals from disk
- Sat Jul 25 09:59:45 2020 memory use: 1885.8 MB
- Sat Jul 25 09:59:49 2020 keeping 48294177 ideals with weight <= 200, target excess is 269141
- Sat Jul 25 09:59:53 2020 commencing in-memory singleton removal
- Sat Jul 25 09:59:57 2020 begin with 51855260 relations and 48294177 unique ideals
- Sat Jul 25 10:00:31 2020 reduce to 34883524 relations and 29722512 ideals in 13 passes
- Sat Jul 25 10:00:31 2020 max relations containing the same ideal: 166
- Sat Jul 25 10:00:45 2020 removing 4694429 relations and 3694429 ideals in 1000000 cliques
- Sat Jul 25 10:00:46 2020 commencing in-memory singleton removal
- Sat Jul 25 10:00:48 2020 begin with 30189095 relations and 29722512 unique ideals
- Sat Jul 25 10:01:08 2020 reduce to 29605981 relations and 25423239 ideals in 9 passes
- Sat Jul 25 10:01:08 2020 max relations containing the same ideal: 147
- Sat Jul 25 10:01:19 2020 removing 3770861 relations and 2770861 ideals in 1000000 cliques
- Sat Jul 25 10:01:20 2020 commencing in-memory singleton removal
- Sat Jul 25 10:01:22 2020 begin with 25835120 relations and 25423239 unique ideals
- Sat Jul 25 10:01:36 2020 reduce to 25413695 relations and 22216498 ideals in 8 passes
- Sat Jul 25 10:01:36 2020 max relations containing the same ideal: 131
- Sat Jul 25 10:01:46 2020 removing 3526398 relations and 2526398 ideals in 1000000 cliques
- Sat Jul 25 10:01:47 2020 commencing in-memory singleton removal
- Sat Jul 25 10:01:49 2020 begin with 21887297 relations and 22216498 unique ideals
- Sat Jul 25 10:02:02 2020 reduce to 21473182 relations and 19260423 ideals in 9 passes
- Sat Jul 25 10:02:02 2020 max relations containing the same ideal: 115
- Sat Jul 25 10:02:11 2020 removing 3435511 relations and 2435511 ideals in 1000000 cliques
- Sat Jul 25 10:02:12 2020 commencing in-memory singleton removal
- Sat Jul 25 10:02:13 2020 begin with 18037671 relations and 19260423 unique ideals
- Sat Jul 25 10:02:21 2020 reduce to 17585615 relations and 16353597 ideals in 7 passes
- Sat Jul 25 10:02:21 2020 max relations containing the same ideal: 101
- Sat Jul 25 10:02:29 2020 removing 3195479 relations and 2275665 ideals in 919814 cliques
- Sat Jul 25 10:02:29 2020 commencing in-memory singleton removal
- Sat Jul 25 10:02:30 2020 begin with 14390136 relations and 16353597 unique ideals
- Sat Jul 25 10:02:38 2020 reduce to 13919077 relations and 13584179 ideals in 9 passes
- Sat Jul 25 10:02:38 2020 max relations containing the same ideal: 85
- Sat Jul 25 10:02:44 2020 removing 166974 relations and 144280 ideals in 22694 cliques
- Sat Jul 25 10:02:44 2020 commencing in-memory singleton removal
- Sat Jul 25 10:02:45 2020 begin with 13752103 relations and 13584179 unique ideals
- Sat Jul 25 10:02:50 2020 reduce to 13750786 relations and 13438581 ideals in 5 passes
- Sat Jul 25 10:02:50 2020 max relations containing the same ideal: 85
- Sat Jul 25 10:02:52 2020 relations with 0 large ideals: 5549
- Sat Jul 25 10:02:52 2020 relations with 1 large ideals: 2364
- Sat Jul 25 10:02:52 2020 relations with 2 large ideals: 36897
- Sat Jul 25 10:02:52 2020 relations with 3 large ideals: 271436
- Sat Jul 25 10:02:52 2020 relations with 4 large ideals: 1073043
- Sat Jul 25 10:02:52 2020 relations with 5 large ideals: 2525862
- Sat Jul 25 10:02:52 2020 relations with 6 large ideals: 3819879
- Sat Jul 25 10:02:52 2020 relations with 7+ large ideals: 6015756
- Sat Jul 25 10:02:52 2020 commencing 2-way merge
- Sat Jul 25 10:02:59 2020 reduce to 8897499 relation sets and 8585294 unique ideals
- Sat Jul 25 10:02:59 2020 commencing full merge
- Sat Jul 25 10:08:35 2020 memory use: 398.0 MB
- Sat Jul 25 10:08:36 2020 found 15372 cycles, need 1915882
- Sat Jul 25 10:08:36 2020 too few cycles, matrix probably cannot build
- Sat Jul 25 10:14:30 2020
- Sat Jul 25 10:14:30 2020
- Sat Jul 25 10:14:30 2020 Msieve v. 1.53 (SVN 1005)
- Sat Jul 25 10:14:30 2020 random seeds: f12b1bb4 3a9f69c6
- Sat Jul 25 10:14:30 2020 factoring 16697374154631968504265316956426192544745650943495188030694670784656624784794777385264132822466320375547909681694794404948433945430961651451464374108728374909430401352640510986993 (179 digits)
- Sat Jul 25 10:14:31 2020 searching for 15-digit factors
- Sat Jul 25 10:14:31 2020 commencing number field sieve (179-digit input)
- Sat Jul 25 10:14:31 2020 R0: 178513261775594993287956037972113537210001
- Sat Jul 25 10:14:31 2020 R1: -1
- Sat Jul 25 10:14:31 2020 A0: -1
- Sat Jul 25 10:14:31 2020 A1: 0
- Sat Jul 25 10:14:31 2020 A2: 0
- Sat Jul 25 10:14:31 2020 A3: 0
- Sat Jul 25 10:14:31 2020 A4: 0
- Sat Jul 25 10:14:31 2020 A5: 7503751
- Sat Jul 25 10:14:31 2020 skew 0.04, size 3.008e-015, alpha 0.196, combined = 2.385e-012 rroots = 1
- Sat Jul 25 10:14:31 2020
- Sat Jul 25 10:14:31 2020 commencing relation filtering
- Sat Jul 25 10:14:31 2020 setting target matrix density to 120.0
- Sat Jul 25 10:14:31 2020 estimated available RAM is 16141.3 MB
- Sat Jul 25 10:14:31 2020 commencing duplicate removal, pass 1
- <1275 errors>
- Sat Jul 25 10:21:24 2020 skipped 680 relations with b > 2^32
- Sat Jul 25 10:21:24 2020 skipped 38 relations with composite factors
- Sat Jul 25 10:21:24 2020 found 10817119 hash collisions in 61774063 relations
- Sat Jul 25 10:21:46 2020 commencing duplicate removal, pass 2
- Sat Jul 25 10:22:11 2020 found 9918803 duplicates and 51855260 unique relations
- Sat Jul 25 10:22:11 2020 memory use: 330.4 MB
- Sat Jul 25 10:22:11 2020 reading ideals above 720000
- Sat Jul 25 10:22:11 2020 commencing singleton removal, initial pass
- Sat Jul 25 10:27:32 2020 memory use: 1378.0 MB
- Sat Jul 25 10:27:32 2020 reading all ideals from disk
- Sat Jul 25 10:27:33 2020 memory use: 1885.8 MB
- Sat Jul 25 10:27:37 2020 keeping 48294177 ideals with weight <= 200, target excess is 269141
- Sat Jul 25 10:27:41 2020 commencing in-memory singleton removal
- Sat Jul 25 10:27:44 2020 begin with 51855260 relations and 48294177 unique ideals
- Sat Jul 25 10:28:18 2020 reduce to 34883524 relations and 29722512 ideals in 13 passes
- Sat Jul 25 10:28:18 2020 max relations containing the same ideal: 166
- Sat Jul 25 10:28:30 2020 removing 4694429 relations and 3694429 ideals in 1000000 cliques
- Sat Jul 25 10:28:32 2020 commencing in-memory singleton removal
- Sat Jul 25 10:28:34 2020 begin with 30189095 relations and 29722512 unique ideals
- Sat Jul 25 10:28:51 2020 reduce to 29605981 relations and 25423239 ideals in 9 passes
- Sat Jul 25 10:28:51 2020 max relations containing the same ideal: 147
- Sat Jul 25 10:29:03 2020 removing 3770861 relations and 2770861 ideals in 1000000 cliques
- Sat Jul 25 10:29:04 2020 commencing in-memory singleton removal
- Sat Jul 25 10:29:05 2020 begin with 25835120 relations and 25423239 unique ideals
- Sat Jul 25 10:29:19 2020 reduce to 25413695 relations and 22216498 ideals in 8 passes
- Sat Jul 25 10:29:19 2020 max relations containing the same ideal: 131
- Sat Jul 25 10:29:29 2020 removing 3526398 relations and 2526398 ideals in 1000000 cliques
- Sat Jul 25 10:29:30 2020 commencing in-memory singleton removal
- Sat Jul 25 10:29:31 2020 begin with 21887297 relations and 22216498 unique ideals
- Sat Jul 25 10:29:44 2020 reduce to 21473182 relations and 19260423 ideals in 9 passes
- Sat Jul 25 10:29:44 2020 max relations containing the same ideal: 115
- Sat Jul 25 10:29:53 2020 removing 3435511 relations and 2435511 ideals in 1000000 cliques
- Sat Jul 25 10:29:54 2020 commencing in-memory singleton removal
- Sat Jul 25 10:29:55 2020 begin with 18037671 relations and 19260423 unique ideals
- Sat Jul 25 10:30:03 2020 reduce to 17585615 relations and 16353597 ideals in 7 passes
- Sat Jul 25 10:30:03 2020 max relations containing the same ideal: 101
- Sat Jul 25 10:30:10 2020 removing 3195479 relations and 2275665 ideals in 919814 cliques
- Sat Jul 25 10:30:11 2020 commencing in-memory singleton removal
- Sat Jul 25 10:30:11 2020 begin with 14390136 relations and 16353597 unique ideals
- Sat Jul 25 10:30:19 2020 reduce to 13919077 relations and 13584179 ideals in 9 passes
- Sat Jul 25 10:30:19 2020 max relations containing the same ideal: 85
- Sat Jul 25 10:30:25 2020 removing 166974 relations and 144280 ideals in 22694 cliques
- Sat Jul 25 10:30:25 2020 commencing in-memory singleton removal
- Sat Jul 25 10:30:26 2020 begin with 13752103 relations and 13584179 unique ideals
- Sat Jul 25 10:30:30 2020 reduce to 13750786 relations and 13438581 ideals in 5 passes
- Sat Jul 25 10:30:30 2020 max relations containing the same ideal: 85
- Sat Jul 25 10:30:32 2020 relations with 0 large ideals: 5549
- Sat Jul 25 10:30:32 2020 relations with 1 large ideals: 2364
- Sat Jul 25 10:30:32 2020 relations with 2 large ideals: 36897
- Sat Jul 25 10:30:32 2020 relations with 3 large ideals: 271436
- Sat Jul 25 10:30:32 2020 relations with 4 large ideals: 1073043
- Sat Jul 25 10:30:32 2020 relations with 5 large ideals: 2525862
- Sat Jul 25 10:30:32 2020 relations with 6 large ideals: 3819879
- Sat Jul 25 10:30:32 2020 relations with 7+ large ideals: 6015756
- Sat Jul 25 10:30:32 2020 commencing 2-way merge
- Sat Jul 25 10:30:40 2020 reduce to 8897499 relation sets and 8585294 unique ideals
- Sat Jul 25 10:30:40 2020 commencing full merge
- Sat Jul 25 10:36:02 2020 memory use: 398.0 MB
- Sat Jul 25 10:36:02 2020 found 15372 cycles, need 1915882
- Sat Jul 25 10:36:02 2020 too few cycles, matrix probably cannot build
- Sat Jul 25 10:37:28 2020
- Sat Jul 25 10:37:28 2020
- Sat Jul 25 10:37:28 2020 Msieve v. 1.53 (SVN 1005)
- Sat Jul 25 10:37:28 2020 random seeds: f93cd424 6873c4de
- Sat Jul 25 10:37:28 2020 factoring 16697374154631968504265316956426192544745650943495188030694670784656624784794777385264132822466320375547909681694794404948433945430961651451464374108728374909430401352640510986993 (179 digits)
- Sat Jul 25 10:37:29 2020 searching for 15-digit factors
- Sat Jul 25 10:37:29 2020 commencing number field sieve (179-digit input)
- Sat Jul 25 10:37:29 2020 R0: 178513261775594993287956037972113537210001
- Sat Jul 25 10:37:29 2020 R1: -1
- Sat Jul 25 10:37:29 2020 A0: -1
- Sat Jul 25 10:37:29 2020 A1: 0
- Sat Jul 25 10:37:29 2020 A2: 0
- Sat Jul 25 10:37:29 2020 A3: 0
- Sat Jul 25 10:37:29 2020 A4: 0
- Sat Jul 25 10:37:29 2020 A5: 7503751
- Sat Jul 25 10:37:29 2020 skew 0.04, size 3.008e-015, alpha 0.196, combined = 2.385e-012 rroots = 1
- Sat Jul 25 10:37:29 2020
- Sat Jul 25 10:37:29 2020 commencing relation filtering
- Sat Jul 25 10:37:29 2020 setting target matrix density to 110.0
- Sat Jul 25 10:37:29 2020 estimated available RAM is 16141.3 MB
- Sat Jul 25 10:37:29 2020 commencing duplicate removal, pass 1
- <1275 errors>
- Sat Jul 25 10:44:24 2020 skipped 680 relations with b > 2^32
- Sat Jul 25 10:44:24 2020 skipped 38 relations with composite factors
- Sat Jul 25 10:44:24 2020 found 10817119 hash collisions in 61774063 relations
- Sat Jul 25 10:44:46 2020 commencing duplicate removal, pass 2
- Sat Jul 25 10:45:11 2020 found 9918803 duplicates and 51855260 unique relations
- Sat Jul 25 10:45:11 2020 memory use: 330.4 MB
- Sat Jul 25 10:45:11 2020 reading ideals above 720000
- Sat Jul 25 10:45:11 2020 commencing singleton removal, initial pass
- Sat Jul 25 10:50:32 2020 memory use: 1378.0 MB
- Sat Jul 25 10:50:32 2020 reading all ideals from disk
- Sat Jul 25 10:50:33 2020 memory use: 1885.8 MB
- Sat Jul 25 10:50:37 2020 keeping 48294177 ideals with weight <= 200, target excess is 269141
- Sat Jul 25 10:50:41 2020 commencing in-memory singleton removal
- Sat Jul 25 10:50:44 2020 begin with 51855260 relations and 48294177 unique ideals
- Sat Jul 25 10:51:17 2020 reduce to 34883524 relations and 29722512 ideals in 13 passes
- Sat Jul 25 10:51:17 2020 max relations containing the same ideal: 166
- Sat Jul 25 10:51:30 2020 removing 4694429 relations and 3694429 ideals in 1000000 cliques
- Sat Jul 25 10:51:31 2020 commencing in-memory singleton removal
- Sat Jul 25 10:51:33 2020 begin with 30189095 relations and 29722512 unique ideals
- Sat Jul 25 10:51:50 2020 reduce to 29605981 relations and 25423239 ideals in 9 passes
- Sat Jul 25 10:51:50 2020 max relations containing the same ideal: 147
- Sat Jul 25 10:52:01 2020 removing 3770861 relations and 2770861 ideals in 1000000 cliques
- Sat Jul 25 10:52:02 2020 commencing in-memory singleton removal
- Sat Jul 25 10:52:04 2020 begin with 25835120 relations and 25423239 unique ideals
- Sat Jul 25 10:52:17 2020 reduce to 25413695 relations and 22216498 ideals in 8 passes
- Sat Jul 25 10:52:17 2020 max relations containing the same ideal: 131
- Sat Jul 25 10:52:26 2020 removing 3526398 relations and 2526398 ideals in 1000000 cliques
- Sat Jul 25 10:52:27 2020 commencing in-memory singleton removal
- Sat Jul 25 10:52:28 2020 begin with 21887297 relations and 22216498 unique ideals
- Sat Jul 25 10:52:40 2020 reduce to 21473182 relations and 19260423 ideals in 9 passes
- Sat Jul 25 10:52:40 2020 max relations containing the same ideal: 115
- Sat Jul 25 10:52:49 2020 removing 3435511 relations and 2435511 ideals in 1000000 cliques
- Sat Jul 25 10:52:49 2020 commencing in-memory singleton removal
- Sat Jul 25 10:52:50 2020 begin with 18037671 relations and 19260423 unique ideals
- Sat Jul 25 10:52:58 2020 reduce to 17585615 relations and 16353597 ideals in 7 passes
- Sat Jul 25 10:52:58 2020 max relations containing the same ideal: 101
- Sat Jul 25 10:53:05 2020 removing 3195479 relations and 2275665 ideals in 919814 cliques
- Sat Jul 25 10:53:05 2020 commencing in-memory singleton removal
- Sat Jul 25 10:53:06 2020 begin with 14390136 relations and 16353597 unique ideals
- Sat Jul 25 10:53:14 2020 reduce to 13919077 relations and 13584179 ideals in 9 passes
- Sat Jul 25 10:53:14 2020 max relations containing the same ideal: 85
- Sat Jul 25 10:53:19 2020 removing 166974 relations and 144280 ideals in 22694 cliques
- Sat Jul 25 10:53:19 2020 commencing in-memory singleton removal
- Sat Jul 25 10:53:20 2020 begin with 13752103 relations and 13584179 unique ideals
- Sat Jul 25 10:53:24 2020 reduce to 13750786 relations and 13438581 ideals in 5 passes
- Sat Jul 25 10:53:24 2020 max relations containing the same ideal: 85
- Sat Jul 25 10:53:26 2020 relations with 0 large ideals: 5549
- Sat Jul 25 10:53:26 2020 relations with 1 large ideals: 2364
- Sat Jul 25 10:53:26 2020 relations with 2 large ideals: 36897
- Sat Jul 25 10:53:26 2020 relations with 3 large ideals: 271436
- Sat Jul 25 10:53:26 2020 relations with 4 large ideals: 1073043
- Sat Jul 25 10:53:26 2020 relations with 5 large ideals: 2525862
- Sat Jul 25 10:53:26 2020 relations with 6 large ideals: 3819879
- Sat Jul 25 10:53:26 2020 relations with 7+ large ideals: 6015756
- Sat Jul 25 10:53:26 2020 commencing 2-way merge
- Sat Jul 25 10:53:33 2020 reduce to 8897499 relation sets and 8585294 unique ideals
- Sat Jul 25 10:53:33 2020 commencing full merge
- Sat Jul 25 10:56:09 2020 memory use: 1120.5 MB
- Sat Jul 25 10:56:10 2020 found 4040499 cycles, need 4025494
- Sat Jul 25 10:56:11 2020 weight of 4025494 cycles is about 443397783 (110.15/cycle)
- Sat Jul 25 10:56:11 2020 distribution of cycle lengths:
- Sat Jul 25 10:56:11 2020 1 relations: 238538
- Sat Jul 25 10:56:11 2020 2 relations: 294327
- Sat Jul 25 10:56:11 2020 3 relations: 318565
- Sat Jul 25 10:56:11 2020 4 relations: 317041
- Sat Jul 25 10:56:11 2020 5 relations: 312568
- Sat Jul 25 10:56:11 2020 6 relations: 301612
- Sat Jul 25 10:56:11 2020 7 relations: 287346
- Sat Jul 25 10:56:11 2020 8 relations: 267868
- Sat Jul 25 10:56:11 2020 9 relations: 247203
- Sat Jul 25 10:56:11 2020 10+ relations: 1440426
- Sat Jul 25 10:56:11 2020 heaviest cycle: 28 relations
- Sat Jul 25 10:56:12 2020 commencing cycle optimization
- Sat Jul 25 10:56:18 2020 start with 33488433 relations
- Sat Jul 25 10:57:20 2020 pruned 1459374 relations
- Sat Jul 25 10:57:20 2020 memory use: 911.1 MB
- Sat Jul 25 10:57:20 2020 distribution of cycle lengths:
- Sat Jul 25 10:57:20 2020 1 relations: 238538
- Sat Jul 25 10:57:20 2020 2 relations: 301712
- Sat Jul 25 10:57:20 2020 3 relations: 332437
- Sat Jul 25 10:57:20 2020 4 relations: 330275
- Sat Jul 25 10:57:20 2020 5 relations: 327740
- Sat Jul 25 10:57:20 2020 6 relations: 314904
- Sat Jul 25 10:57:20 2020 7 relations: 300617
- Sat Jul 25 10:57:20 2020 8 relations: 278279
- Sat Jul 25 10:57:20 2020 9 relations: 256095
- Sat Jul 25 10:57:20 2020 10+ relations: 1344897
- Sat Jul 25 10:57:20 2020 heaviest cycle: 28 relations
- Sat Jul 25 10:57:24 2020 RelProcTime: 1195
- Sat Jul 25 10:57:24 2020 elapsed time 00:19:56
- Sat Jul 25 10:57:43 2020
- Sat Jul 25 10:57:43 2020
- Sat Jul 25 10:57:43 2020 Msieve v. 1.53 (SVN 1005)
- Sat Jul 25 10:57:43 2020 random seeds: 451dc6a8 5a39a7a6
- Sat Jul 25 10:57:43 2020 factoring 16697374154631968504265316956426192544745650943495188030694670784656624784794777385264132822466320375547909681694794404948433945430961651451464374108728374909430401352640510986993 (179 digits)
- Sat Jul 25 10:57:44 2020 searching for 15-digit factors
- Sat Jul 25 10:57:44 2020 commencing number field sieve (179-digit input)
- Sat Jul 25 10:57:44 2020 R0: 178513261775594993287956037972113537210001
- Sat Jul 25 10:57:44 2020 R1: -1
- Sat Jul 25 10:57:44 2020 A0: -1
- Sat Jul 25 10:57:44 2020 A1: 0
- Sat Jul 25 10:57:44 2020 A2: 0
- Sat Jul 25 10:57:44 2020 A3: 0
- Sat Jul 25 10:57:44 2020 A4: 0
- Sat Jul 25 10:57:44 2020 A5: 7503751
- Sat Jul 25 10:57:44 2020 skew 0.04, size 3.008e-015, alpha 0.196, combined = 2.385e-012 rroots = 1
- Sat Jul 25 10:57:44 2020
- Sat Jul 25 10:57:44 2020 commencing relation filtering
- Sat Jul 25 10:57:44 2020 setting target matrix density to 115.0
- Sat Jul 25 10:57:44 2020 estimated available RAM is 16141.3 MB
- Sat Jul 25 10:57:44 2020 commencing duplicate removal, pass 1
- <1275 errors>
- Sat Jul 25 11:04:39 2020 skipped 680 relations with b > 2^32
- Sat Jul 25 11:04:39 2020 skipped 38 relations with composite factors
- Sat Jul 25 11:04:39 2020 found 10817119 hash collisions in 61774063 relations
- Sat Jul 25 11:05:01 2020 commencing duplicate removal, pass 2
- Sat Jul 25 11:05:26 2020 found 9918803 duplicates and 51855260 unique relations
- Sat Jul 25 11:05:26 2020 memory use: 330.4 MB
- Sat Jul 25 11:05:26 2020 reading ideals above 720000
- Sat Jul 25 11:05:26 2020 commencing singleton removal, initial pass
- Sat Jul 25 11:10:44 2020 memory use: 1378.0 MB
- Sat Jul 25 11:10:44 2020 reading all ideals from disk
- Sat Jul 25 11:10:45 2020 memory use: 1885.8 MB
- Sat Jul 25 11:10:49 2020 keeping 48294177 ideals with weight <= 200, target excess is 269141
- Sat Jul 25 11:10:52 2020 commencing in-memory singleton removal
- Sat Jul 25 11:10:56 2020 begin with 51855260 relations and 48294177 unique ideals
- Sat Jul 25 11:11:29 2020 reduce to 34883524 relations and 29722512 ideals in 13 passes
- Sat Jul 25 11:11:29 2020 max relations containing the same ideal: 166
- Sat Jul 25 11:11:42 2020 removing 4694429 relations and 3694429 ideals in 1000000 cliques
- Sat Jul 25 11:11:43 2020 commencing in-memory singleton removal
- Sat Jul 25 11:11:45 2020 begin with 30189095 relations and 29722512 unique ideals
- Sat Jul 25 11:12:02 2020 reduce to 29605981 relations and 25423239 ideals in 9 passes
- Sat Jul 25 11:12:02 2020 max relations containing the same ideal: 147
- Sat Jul 25 11:12:13 2020 removing 3770861 relations and 2770861 ideals in 1000000 cliques
- Sat Jul 25 11:12:14 2020 commencing in-memory singleton removal
- Sat Jul 25 11:12:16 2020 begin with 25835120 relations and 25423239 unique ideals
- Sat Jul 25 11:12:29 2020 reduce to 25413695 relations and 22216498 ideals in 8 passes
- Sat Jul 25 11:12:29 2020 max relations containing the same ideal: 131
- Sat Jul 25 11:12:38 2020 removing 3526398 relations and 2526398 ideals in 1000000 cliques
- Sat Jul 25 11:12:39 2020 commencing in-memory singleton removal
- Sat Jul 25 11:12:41 2020 begin with 21887297 relations and 22216498 unique ideals
- Sat Jul 25 11:12:53 2020 reduce to 21473182 relations and 19260423 ideals in 9 passes
- Sat Jul 25 11:12:53 2020 max relations containing the same ideal: 115
- Sat Jul 25 11:13:01 2020 removing 3435511 relations and 2435511 ideals in 1000000 cliques
- Sat Jul 25 11:13:02 2020 commencing in-memory singleton removal
- Sat Jul 25 11:13:03 2020 begin with 18037671 relations and 19260423 unique ideals
- Sat Jul 25 11:13:10 2020 reduce to 17585615 relations and 16353597 ideals in 7 passes
- Sat Jul 25 11:13:10 2020 max relations containing the same ideal: 101
- Sat Jul 25 11:13:17 2020 removing 3195479 relations and 2275665 ideals in 919814 cliques
- Sat Jul 25 11:13:18 2020 commencing in-memory singleton removal
- Sat Jul 25 11:13:19 2020 begin with 14390136 relations and 16353597 unique ideals
- Sat Jul 25 11:13:26 2020 reduce to 13919077 relations and 13584179 ideals in 9 passes
- Sat Jul 25 11:13:26 2020 max relations containing the same ideal: 85
- Sat Jul 25 11:13:31 2020 removing 166974 relations and 144280 ideals in 22694 cliques
- Sat Jul 25 11:13:31 2020 commencing in-memory singleton removal
- Sat Jul 25 11:13:32 2020 begin with 13752103 relations and 13584179 unique ideals
- Sat Jul 25 11:13:36 2020 reduce to 13750786 relations and 13438581 ideals in 5 passes
- Sat Jul 25 11:13:36 2020 max relations containing the same ideal: 85
- Sat Jul 25 11:13:38 2020 relations with 0 large ideals: 5549
- Sat Jul 25 11:13:38 2020 relations with 1 large ideals: 2364
- Sat Jul 25 11:13:38 2020 relations with 2 large ideals: 36897
- Sat Jul 25 11:13:38 2020 relations with 3 large ideals: 271436
- Sat Jul 25 11:13:38 2020 relations with 4 large ideals: 1073043
- Sat Jul 25 11:13:38 2020 relations with 5 large ideals: 2525862
- Sat Jul 25 11:13:38 2020 relations with 6 large ideals: 3819879
- Sat Jul 25 11:13:38 2020 relations with 7+ large ideals: 6015756
- Sat Jul 25 11:13:38 2020 commencing 2-way merge
- Sat Jul 25 11:13:45 2020 reduce to 8897499 relation sets and 8585294 unique ideals
- Sat Jul 25 11:13:45 2020 commencing full merge
- Sat Jul 25 11:16:26 2020 memory use: 1125.4 MB
- Sat Jul 25 11:16:28 2020 found 3976555 cycles, need 3971494
- Sat Jul 25 11:16:28 2020 weight of 3971494 cycles is about 457059875 (115.09/cycle)
- Sat Jul 25 11:16:28 2020 distribution of cycle lengths:
- Sat Jul 25 11:16:28 2020 1 relations: 218125
- Sat Jul 25 11:16:28 2020 2 relations: 275248
- Sat Jul 25 11:16:28 2020 3 relations: 301326
- Sat Jul 25 11:16:28 2020 4 relations: 299489
- Sat Jul 25 11:16:28 2020 5 relations: 298008
- Sat Jul 25 11:16:28 2020 6 relations: 287291
- Sat Jul 25 11:16:28 2020 7 relations: 276835
- Sat Jul 25 11:16:28 2020 8 relations: 259150
- Sat Jul 25 11:16:28 2020 9 relations: 241227
- Sat Jul 25 11:16:28 2020 10+ relations: 1514795
- Sat Jul 25 11:16:28 2020 heaviest cycle: 28 relations
- Sat Jul 25 11:16:30 2020 commencing cycle optimization
- Sat Jul 25 11:16:35 2020 start with 34495881 relations
- Sat Jul 25 11:17:40 2020 pruned 1563060 relations
- Sat Jul 25 11:17:40 2020 memory use: 921.2 MB
- Sat Jul 25 11:17:40 2020 distribution of cycle lengths:
- Sat Jul 25 11:17:40 2020 1 relations: 218125
- Sat Jul 25 11:17:40 2020 2 relations: 282223
- Sat Jul 25 11:17:40 2020 3 relations: 314455
- Sat Jul 25 11:17:40 2020 4 relations: 312290
- Sat Jul 25 11:17:40 2020 5 relations: 312675
- Sat Jul 25 11:17:40 2020 6 relations: 300427
- Sat Jul 25 11:17:40 2020 7 relations: 290142
- Sat Jul 25 11:17:40 2020 8 relations: 270134
- Sat Jul 25 11:17:40 2020 9 relations: 251113
- Sat Jul 25 11:17:40 2020 10+ relations: 1419910
- Sat Jul 25 11:17:40 2020 heaviest cycle: 28 relations
- Sat Jul 25 11:17:44 2020 RelProcTime: 1200
- Sat Jul 25 11:17:44 2020 elapsed time 00:20:01
- Sat Jul 25 11:18:06 2020
- Sat Jul 25 11:18:06 2020
- Sat Jul 25 11:18:06 2020 Msieve v. 1.53 (SVN 1005)
- Sat Jul 25 11:18:06 2020 random seeds: ff72bc64 fd11e34e
- Sat Jul 25 11:18:06 2020 factoring 16697374154631968504265316956426192544745650943495188030694670784656624784794777385264132822466320375547909681694794404948433945430961651451464374108728374909430401352640510986993 (179 digits)
- Sat Jul 25 11:18:06 2020 searching for 15-digit factors
- Sat Jul 25 11:18:07 2020 commencing number field sieve (179-digit input)
- Sat Jul 25 11:18:07 2020 R0: 178513261775594993287956037972113537210001
- Sat Jul 25 11:18:07 2020 R1: -1
- Sat Jul 25 11:18:07 2020 A0: -1
- Sat Jul 25 11:18:07 2020 A1: 0
- Sat Jul 25 11:18:07 2020 A2: 0
- Sat Jul 25 11:18:07 2020 A3: 0
- Sat Jul 25 11:18:07 2020 A4: 0
- Sat Jul 25 11:18:07 2020 A5: 7503751
- Sat Jul 25 11:18:07 2020 skew 0.04, size 3.008e-015, alpha 0.196, combined = 2.385e-012 rroots = 1
- Sat Jul 25 11:18:07 2020
- Sat Jul 25 11:18:07 2020 commencing linear algebra
- Sat Jul 25 11:18:07 2020 read 3971494 cycles
- Sat Jul 25 11:18:15 2020 cycles contain 13555194 unique relations
- Sat Jul 25 11:19:19 2020 read 13555194 relations
- Sat Jul 25 11:19:37 2020 using 20 quadratic characters above 4294917295
- Sat Jul 25 11:20:34 2020 building initial matrix
- Sat Jul 25 11:22:46 2020 memory use: 1708.2 MB
- Sat Jul 25 11:22:49 2020 read 3971494 cycles
- Sat Jul 25 11:22:49 2020 matrix is 3971317 x 3971494 (1787.8 MB) with weight 517329046 (130.26/col)
- Sat Jul 25 11:22:49 2020 sparse part has weight 424967159 (107.00/col)
- Sat Jul 25 11:23:22 2020 filtering completed in 2 passes
- Sat Jul 25 11:23:23 2020 matrix is 3971256 x 3971433 (1787.8 MB) with weight 517326982 (130.26/col)
- Sat Jul 25 11:23:23 2020 sparse part has weight 424966519 (107.01/col)
- Sat Jul 25 11:23:36 2020 matrix starts at (0, 0)
- Sat Jul 25 11:23:37 2020 matrix is 3971256 x 3971433 (1787.8 MB) with weight 517326982 (130.26/col)
- Sat Jul 25 11:23:37 2020 sparse part has weight 424966519 (107.01/col)
- Sat Jul 25 11:23:37 2020 saving the first 48 matrix rows for later
- Sat Jul 25 11:23:38 2020 matrix includes 64 packed rows
- Sat Jul 25 11:23:38 2020 matrix is 3971208 x 3971433 (1707.6 MB) with weight 440224678 (110.85/col)
- Sat Jul 25 11:23:38 2020 sparse part has weight 407911086 (102.71/col)
- Sat Jul 25 11:23:38 2020 using block size 8192 and superblock size 884736 for processor cache size 9216 kB
- Sat Jul 25 11:23:56 2020 commencing Lanczos iteration (6 threads)
- Sat Jul 25 11:23:56 2020 memory use: 1422.0 MB
- Sat Jul 25 11:24:04 2020 linear algebra at 0.0%, ETA 5h 5m
- Sat Jul 25 11:24:07 2020 checkpointing every 730000 dimensions
- Sat Jul 25 18:31:28 2020 lanczos halted after 62803 iterations (dim = 3971205)
- Sat Jul 25 18:31:32 2020 recovered 34 nontrivial dependencies
- Sat Jul 25 18:31:33 2020 BLanczosTime: 26006
- Sat Jul 25 18:31:33 2020 elapsed time 07:13:27
- Sat Jul 25 18:31:40 2020
- Sat Jul 25 18:31:40 2020
- Sat Jul 25 18:31:40 2020 Msieve v. 1.53 (SVN 1005)
- Sat Jul 25 18:31:40 2020 random seeds: d00c9e60 20e935ce
- Sat Jul 25 18:31:40 2020 factoring 16697374154631968504265316956426192544745650943495188030694670784656624784794777385264132822466320375547909681694794404948433945430961651451464374108728374909430401352640510986993 (179 digits)
- Sat Jul 25 18:31:41 2020 searching for 15-digit factors
- Sat Jul 25 18:31:41 2020 commencing number field sieve (179-digit input)
- Sat Jul 25 18:31:41 2020 R0: 178513261775594993287956037972113537210001
- Sat Jul 25 18:31:41 2020 R1: -1
- Sat Jul 25 18:31:41 2020 A0: -1
- Sat Jul 25 18:31:41 2020 A1: 0
- Sat Jul 25 18:31:41 2020 A2: 0
- Sat Jul 25 18:31:41 2020 A3: 0
- Sat Jul 25 18:31:41 2020 A4: 0
- Sat Jul 25 18:31:41 2020 A5: 7503751
- Sat Jul 25 18:31:41 2020 skew 0.04, size 3.008e-015, alpha 0.196, combined = 2.385e-012 rroots = 1
- Sat Jul 25 18:31:41 2020
- Sat Jul 25 18:31:41 2020 commencing square root phase
- Sat Jul 25 18:31:41 2020 reading relations for dependency 1
- Sat Jul 25 18:31:42 2020 read 1984465 cycles
- Sat Jul 25 18:31:45 2020 cycles contain 6776376 unique relations
- Sat Jul 25 18:32:20 2020 read 6776376 relations
- Sat Jul 25 18:32:45 2020 multiplying 6776376 relations
- Sat Jul 25 18:37:03 2020 multiply complete, coefficients have about 304.02 million bits
- Sat Jul 25 18:37:03 2020 initial square root is modulo 285251
- Sat Jul 25 18:42:05 2020 GCD is N, no factor found
- Sat Jul 25 18:42:05 2020 reading relations for dependency 2
- Sat Jul 25 18:42:06 2020 read 1983720 cycles
- Sat Jul 25 18:42:09 2020 cycles contain 6771978 unique relations
- Sat Jul 25 18:42:44 2020 read 6771978 relations
- Sat Jul 25 18:43:09 2020 multiplying 6771978 relations
- Sat Jul 25 18:47:27 2020 multiply complete, coefficients have about 303.82 million bits
- Sat Jul 25 18:47:27 2020 initial square root is modulo 282911
- Sat Jul 25 18:52:29 2020 found factor: 75455992727427104319023985251117379988539274686194384494093
- Sat Jul 25 18:52:29 2020 reading relations for dependency 3
- Sat Jul 25 18:52:30 2020 read 1985289 cycles
- Sat Jul 25 18:52:33 2020 cycles contain 6779110 unique relations
- Sat Jul 25 18:53:08 2020 read 6779110 relations
- Sat Jul 25 18:53:33 2020 multiplying 6779110 relations
- Sat Jul 25 18:57:56 2020 multiply complete, coefficients have about 304.14 million bits
- Sat Jul 25 18:57:56 2020 initial square root is modulo 286651
- Sat Jul 25 19:02:56 2020 sqrtTime: 1875
- Sat Jul 25 19:02:56 2020 p49 factor: 8830574846454935898199455755450625228110359932947
- Sat Jul 25 19:02:56 2020 p59 factor: 75455992727427104319023985251117379988539274686194384494093
- Sat Jul 25 19:02:56 2020 p71 factor: 25059099805098130538661492075495288000705615021706272398547232823908183
- Sat Jul 25 19:02:56 2020 elapsed time 00:31:16
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