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__Sign Up__- Sat Mar 03 16:37:21 2018
- Sat Mar 03 16:37:21 2018
- Sat Mar 03 16:37:21 2018 Msieve v. 1.54 (SVN 1018)
- Sat Mar 03 16:37:21 2018 random seeds: acee98f8 bbca4a77
- Sat Mar 03 16:37:21 2018 factoring 5384873169174688033484914627416258502782704006038543660161218857340297520352400003716518901625026146841528974192690243079422963158159059754414222277185764554172465817418680726205097549486861 (190 digits)
- Sat Mar 03 16:37:22 2018 searching for 15-digit factors
- Sat Mar 03 16:37:22 2018 commencing number field sieve (190-digit input)
- Sat Mar 03 16:37:22 2018 R0: 6591064979223121842783091913720467836620027635880327917
- Sat Mar 03 16:37:22 2018 R1: -1
- Sat Mar 03 16:37:22 2018 A0: 1
- Sat Mar 03 16:37:22 2018 A1: 1
- Sat Mar 03 16:37:22 2018 A2: 1
- Sat Mar 03 16:37:22 2018 A3: 1
- Sat Mar 03 16:37:22 2018 A4: 1
- Sat Mar 03 16:37:22 2018 skew 1.00, size 2.418e-022, alpha 1.694, combined = 2.505e-013 rroots = 0
- Sat Mar 03 16:37:22 2018
- Sat Mar 03 16:37:22 2018 commencing relation filtering
- Sat Mar 03 16:37:22 2018 setting target matrix density to 130.0
- Sat Mar 03 16:37:22 2018 estimated available RAM is 32715.2 MB
- Sat Mar 03 16:37:22 2018 commencing duplicate removal, pass 1
- <errors reading relations>
- Sat Mar 03 17:14:18 2018 skipped 534 relations with b > 2^32
- Sat Mar 03 17:14:18 2018 skipped 783 relations with composite factors
- Sat Mar 03 17:14:18 2018 found 57264077 hash collisions in 259836832 relations
- Sat Mar 03 17:14:29 2018 added 3657741 free relations
- Sat Mar 03 17:14:29 2018 commencing duplicate removal, pass 2
- Sat Mar 03 17:17:23 2018 found 61112363 duplicates and 202382210 unique relations
- Sat Mar 03 17:17:23 2018 memory use: 1449.5 MB
- Sat Mar 03 17:17:23 2018 reading ideals above 150011904
- Sat Mar 03 17:17:23 2018 commencing singleton removal, initial pass
- Sat Mar 03 17:40:04 2018 memory use: 3012.0 MB
- Sat Mar 03 17:40:05 2018 reading all ideals from disk
- Sat Mar 03 17:40:07 2018 memory use: 3615.8 MB
- Sat Mar 03 17:40:26 2018 commencing in-memory singleton removal
- Sat Mar 03 17:40:40 2018 begin with 202382210 relations and 159350609 unique ideals
- Sat Mar 03 17:43:09 2018 reduce to 142643061 relations and 94274927 ideals in 13 passes
- Sat Mar 03 17:43:09 2018 max relations containing the same ideal: 31
- Sat Mar 03 17:43:25 2018 reading ideals above 720000
- Sat Mar 03 17:43:25 2018 commencing singleton removal, initial pass
- Sat Mar 03 18:03:42 2018 memory use: 3012.0 MB
- Sat Mar 03 18:03:43 2018 reading all ideals from disk
- Sat Mar 03 18:03:46 2018 memory use: 5555.9 MB
- Sat Mar 03 18:04:10 2018 keeping 110471437 ideals with weight <= 200, target excess is 692479
- Sat Mar 03 18:04:34 2018 commencing in-memory singleton removal
- Sat Mar 03 18:04:53 2018 begin with 142643061 relations and 110471437 unique ideals
- Sat Mar 03 18:06:45 2018 reduce to 142640521 relations and 110468891 ideals in 6 passes
- Sat Mar 03 18:06:45 2018 max relations containing the same ideal: 200
- Sat Mar 03 18:08:10 2018 removing 9977069 relations and 7977069 ideals in 2000000 cliques
- Sat Mar 03 18:08:14 2018 commencing in-memory singleton removal
- Sat Mar 03 18:08:31 2018 begin with 132663452 relations and 110468891 unique ideals
- Sat Mar 03 18:10:33 2018 reduce to 132092070 relations and 101909702 ideals in 7 passes
- Sat Mar 03 18:10:33 2018 max relations containing the same ideal: 198
- Sat Mar 03 18:11:50 2018 removing 7651220 relations and 5651220 ideals in 2000000 cliques
- Sat Mar 03 18:11:53 2018 commencing in-memory singleton removal
- Sat Mar 03 18:12:08 2018 begin with 124440850 relations and 101909702 unique ideals
- Sat Mar 03 18:13:56 2018 reduce to 124062503 relations and 95873843 ideals in 7 passes
- Sat Mar 03 18:13:56 2018 max relations containing the same ideal: 193
- Sat Mar 03 18:15:08 2018 removing 6966108 relations and 4966108 ideals in 2000000 cliques
- Sat Mar 03 18:15:12 2018 commencing in-memory singleton removal
- Sat Mar 03 18:15:26 2018 begin with 117096395 relations and 95873843 unique ideals
- Sat Mar 03 18:17:05 2018 reduce to 116768363 relations and 90574318 ideals in 7 passes
- Sat Mar 03 18:17:05 2018 max relations containing the same ideal: 187
- Sat Mar 03 18:18:11 2018 removing 6616782 relations and 4616782 ideals in 2000000 cliques
- Sat Mar 03 18:18:14 2018 commencing in-memory singleton removal
- Sat Mar 03 18:18:27 2018 begin with 110151581 relations and 90574318 unique ideals
- Sat Mar 03 18:19:46 2018 reduce to 109844580 relations and 85645495 ideals in 6 passes
- Sat Mar 03 18:19:46 2018 max relations containing the same ideal: 180
- Sat Mar 03 18:20:49 2018 removing 6401002 relations and 4401002 ideals in 2000000 cliques
- Sat Mar 03 18:20:52 2018 commencing in-memory singleton removal
- Sat Mar 03 18:21:03 2018 begin with 103443578 relations and 85645495 unique ideals
- Sat Mar 03 18:22:15 2018 reduce to 103145838 relations and 80941686 ideals in 6 passes
- Sat Mar 03 18:22:15 2018 max relations containing the same ideal: 173
- Sat Mar 03 18:23:13 2018 removing 6258687 relations and 4258687 ideals in 2000000 cliques
- Sat Mar 03 18:23:16 2018 commencing in-memory singleton removal
- Sat Mar 03 18:23:26 2018 begin with 96887151 relations and 80941686 unique ideals
- Sat Mar 03 18:24:42 2018 reduce to 96590303 relations and 76380821 ideals in 7 passes
- Sat Mar 03 18:24:42 2018 max relations containing the same ideal: 166
- Sat Mar 03 18:25:35 2018 removing 6167908 relations and 4167908 ideals in 2000000 cliques
- Sat Mar 03 18:25:37 2018 commencing in-memory singleton removal
- Sat Mar 03 18:25:46 2018 begin with 90422395 relations and 76380821 unique ideals
- Sat Mar 03 18:26:41 2018 reduce to 90121823 relations and 71906546 ideals in 6 passes
- Sat Mar 03 18:26:41 2018 max relations containing the same ideal: 162
- Sat Mar 03 18:27:30 2018 removing 6098662 relations and 4098662 ideals in 2000000 cliques
- Sat Mar 03 18:27:33 2018 commencing in-memory singleton removal
- Sat Mar 03 18:27:42 2018 begin with 84023161 relations and 71906546 unique ideals
- Sat Mar 03 18:28:42 2018 reduce to 83710559 relations and 67488953 ideals in 7 passes
- Sat Mar 03 18:28:42 2018 max relations containing the same ideal: 152
- Sat Mar 03 18:29:28 2018 removing 6062791 relations and 4062791 ideals in 2000000 cliques
- Sat Mar 03 18:29:31 2018 commencing in-memory singleton removal
- Sat Mar 03 18:29:38 2018 begin with 77647768 relations and 67488953 unique ideals
- Sat Mar 03 18:30:40 2018 reduce to 77317459 relations and 63088669 ideals in 8 passes
- Sat Mar 03 18:30:40 2018 max relations containing the same ideal: 143
- Sat Mar 03 18:31:22 2018 removing 6050837 relations and 4050837 ideals in 2000000 cliques
- Sat Mar 03 18:31:25 2018 commencing in-memory singleton removal
- Sat Mar 03 18:31:31 2018 begin with 71266622 relations and 63088669 unique ideals
- Sat Mar 03 18:32:21 2018 reduce to 70914902 relations and 58677949 ideals in 7 passes
- Sat Mar 03 18:32:21 2018 max relations containing the same ideal: 136
- Sat Mar 03 18:32:59 2018 removing 6058202 relations and 4058202 ideals in 2000000 cliques
- Sat Mar 03 18:33:01 2018 commencing in-memory singleton removal
- Sat Mar 03 18:33:07 2018 begin with 64856700 relations and 58677949 unique ideals
- Sat Mar 03 18:33:50 2018 reduce to 64472602 relations and 54226002 ideals in 7 passes
- Sat Mar 03 18:33:50 2018 max relations containing the same ideal: 127
- Sat Mar 03 18:34:25 2018 removing 6089530 relations and 4089530 ideals in 2000000 cliques
- Sat Mar 03 18:34:27 2018 commencing in-memory singleton removal
- Sat Mar 03 18:34:32 2018 begin with 58383072 relations and 54226002 unique ideals
- Sat Mar 03 18:35:10 2018 reduce to 57957711 relations and 49699558 ideals in 7 passes
- Sat Mar 03 18:35:10 2018 max relations containing the same ideal: 122
- Sat Mar 03 18:35:41 2018 removing 6143516 relations and 4143516 ideals in 2000000 cliques
- Sat Mar 03 18:35:43 2018 commencing in-memory singleton removal
- Sat Mar 03 18:35:48 2018 begin with 51814195 relations and 49699558 unique ideals
- Sat Mar 03 18:36:20 2018 reduce to 51333777 relations and 45061266 ideals in 7 passes
- Sat Mar 03 18:36:20 2018 max relations containing the same ideal: 113
- Sat Mar 03 18:36:48 2018 removing 6219606 relations and 4219606 ideals in 2000000 cliques
- Sat Mar 03 18:36:50 2018 commencing in-memory singleton removal
- Sat Mar 03 18:36:54 2018 begin with 45114171 relations and 45061266 unique ideals
- Sat Mar 03 18:37:29 2018 reduce to 44556280 relations and 40264772 ideals in 9 passes
- Sat Mar 03 18:37:29 2018 max relations containing the same ideal: 99
- Sat Mar 03 18:37:53 2018 removing 6324630 relations and 4324630 ideals in 2000000 cliques
- Sat Mar 03 18:37:55 2018 commencing in-memory singleton removal
- Sat Mar 03 18:37:59 2018 begin with 38231650 relations and 40264772 unique ideals
- Sat Mar 03 18:38:24 2018 reduce to 37561266 relations and 35243806 ideals in 8 passes
- Sat Mar 03 18:38:24 2018 max relations containing the same ideal: 90
- Sat Mar 03 18:38:45 2018 removing 5164993 relations and 3650809 ideals in 1514184 cliques
- Sat Mar 03 18:38:47 2018 commencing in-memory singleton removal
- Sat Mar 03 18:38:49 2018 begin with 32396273 relations and 35243806 unique ideals
- Sat Mar 03 18:39:11 2018 reduce to 31852817 relations and 31030033 ideals in 8 passes
- Sat Mar 03 18:39:11 2018 max relations containing the same ideal: 78
- Sat Mar 03 18:39:28 2018 removing 140511 relations and 121003 ideals in 19508 cliques
- Sat Mar 03 18:39:29 2018 commencing in-memory singleton removal
- Sat Mar 03 18:39:32 2018 begin with 31712306 relations and 31030033 unique ideals
- Sat Mar 03 18:39:42 2018 reduce to 31711942 relations and 30908665 ideals in 4 passes
- Sat Mar 03 18:39:42 2018 max relations containing the same ideal: 78
- Sat Mar 03 18:39:47 2018 relations with 0 large ideals: 55265
- Sat Mar 03 18:39:47 2018 relations with 1 large ideals: 11633
- Sat Mar 03 18:39:47 2018 relations with 2 large ideals: 141874
- Sat Mar 03 18:39:47 2018 relations with 3 large ideals: 909389
- Sat Mar 03 18:39:47 2018 relations with 4 large ideals: 3220278
- Sat Mar 03 18:39:47 2018 relations with 5 large ideals: 7798362
- Sat Mar 03 18:39:47 2018 relations with 6 large ideals: 8388520
- Sat Mar 03 18:39:47 2018 relations with 7+ large ideals: 11186621
- Sat Mar 03 18:39:47 2018 commencing 2-way merge
- Sat Mar 03 18:40:10 2018 reduce to 20974266 relation sets and 20170989 unique ideals
- Sat Mar 03 18:40:10 2018 commencing full merge
- Sat Mar 03 19:00:26 2018 memory use: 937.4 MB
- Sat Mar 03 19:00:28 2018 found 106628 cycles, need 4562179
- Sat Mar 03 19:00:28 2018 too few cycles, matrix probably cannot build
- Sat Mar 03 19:20:47 2018
- Sat Mar 03 19:20:47 2018
- Sat Mar 03 19:20:47 2018 Msieve v. 1.54 (SVN 1018)
- Sat Mar 03 19:20:47 2018 random seeds: 8918b9f0 2ba9202f
- Sat Mar 03 19:20:47 2018 factoring 5384873169174688033484914627416258502782704006038543660161218857340297520352400003716518901625026146841528974192690243079422963158159059754414222277185764554172465817418680726205097549486861 (190 digits)
- Sat Mar 03 19:20:48 2018 searching for 15-digit factors
- Sat Mar 03 19:20:48 2018 commencing number field sieve (190-digit input)
- Sat Mar 03 19:20:48 2018 R0: 6591064979223121842783091913720467836620027635880327917
- Sat Mar 03 19:20:48 2018 R1: -1
- Sat Mar 03 19:20:48 2018 A0: 1
- Sat Mar 03 19:20:48 2018 A1: 1
- Sat Mar 03 19:20:48 2018 A2: 1
- Sat Mar 03 19:20:48 2018 A3: 1
- Sat Mar 03 19:20:48 2018 A4: 1
- Sat Mar 03 19:20:48 2018 skew 1.00, size 2.418e-022, alpha 1.694, combined = 2.505e-013 rroots = 0
- Sat Mar 03 19:20:48 2018
- Sat Mar 03 19:20:48 2018 commencing relation filtering
- Sat Mar 03 19:20:48 2018 setting target matrix density to 125.0
- Sat Mar 03 19:20:48 2018 estimated available RAM is 32715.2 MB
- Sat Mar 03 19:20:48 2018 commencing duplicate removal, pass 1
- <errors reading relations>
- Sat Mar 03 19:58:11 2018 skipped 534 relations with b > 2^32
- Sat Mar 03 19:58:11 2018 skipped 783 relations with composite factors
- Sat Mar 03 19:58:11 2018 found 57510048 hash collisions in 263494573 relations
- Sat Mar 03 19:58:11 2018 commencing duplicate removal, pass 2
- Sat Mar 03 20:01:04 2018 found 61112363 duplicates and 202382210 unique relations
- Sat Mar 03 20:01:04 2018 memory use: 1449.5 MB
- Sat Mar 03 20:01:04 2018 reading ideals above 150011904
- Sat Mar 03 20:01:04 2018 commencing singleton removal, initial pass
- Sat Mar 03 20:23:41 2018 memory use: 3012.0 MB
- Sat Mar 03 20:23:41 2018 reading all ideals from disk
- Sat Mar 03 20:23:44 2018 memory use: 3615.8 MB
- Sat Mar 03 20:23:58 2018 commencing in-memory singleton removal
- Sat Mar 03 20:24:12 2018 begin with 202382210 relations and 159350609 unique ideals
- Sat Mar 03 20:26:33 2018 reduce to 142643061 relations and 94274927 ideals in 13 passes
- Sat Mar 03 20:26:33 2018 max relations containing the same ideal: 31
- Sat Mar 03 20:26:48 2018 reading ideals above 720000
- Sat Mar 03 20:26:48 2018 commencing singleton removal, initial pass
- Sat Mar 03 20:47:11 2018 memory use: 3012.0 MB
- Sat Mar 03 20:47:11 2018 reading all ideals from disk
- Sat Mar 03 20:47:14 2018 memory use: 5555.9 MB
- Sat Mar 03 20:47:37 2018 keeping 110471437 ideals with weight <= 200, target excess is 692479
- Sat Mar 03 20:48:01 2018 commencing in-memory singleton removal
- Sat Mar 03 20:48:20 2018 begin with 142643061 relations and 110471437 unique ideals
- Sat Mar 03 20:50:09 2018 reduce to 142640521 relations and 110468891 ideals in 6 passes
- Sat Mar 03 20:50:09 2018 max relations containing the same ideal: 200
- Sat Mar 03 20:51:33 2018 removing 9977069 relations and 7977069 ideals in 2000000 cliques
- Sat Mar 03 20:51:37 2018 commencing in-memory singleton removal
- Sat Mar 03 20:51:55 2018 begin with 132663452 relations and 110468891 unique ideals
- Sat Mar 03 20:53:59 2018 reduce to 132092070 relations and 101909702 ideals in 7 passes
- Sat Mar 03 20:53:59 2018 max relations containing the same ideal: 198
- Sat Mar 03 20:55:19 2018 removing 7651220 relations and 5651220 ideals in 2000000 cliques
- Sat Mar 03 20:55:22 2018 commencing in-memory singleton removal
- Sat Mar 03 20:55:38 2018 begin with 124440850 relations and 101909702 unique ideals
- Sat Mar 03 20:57:28 2018 reduce to 124062503 relations and 95873843 ideals in 7 passes
- Sat Mar 03 20:57:28 2018 max relations containing the same ideal: 193
- Sat Mar 03 20:58:40 2018 removing 6966108 relations and 4966108 ideals in 2000000 cliques
- Sat Mar 03 20:58:43 2018 commencing in-memory singleton removal
- Sat Mar 03 20:58:58 2018 begin with 117096395 relations and 95873843 unique ideals
- Sat Mar 03 21:00:38 2018 reduce to 116768363 relations and 90574318 ideals in 7 passes
- Sat Mar 03 21:00:38 2018 max relations containing the same ideal: 187
- Sat Mar 03 21:01:42 2018 removing 6616782 relations and 4616782 ideals in 2000000 cliques
- Sat Mar 03 21:01:44 2018 commencing in-memory singleton removal
- Sat Mar 03 21:01:58 2018 begin with 110151581 relations and 90574318 unique ideals
- Sat Mar 03 21:03:14 2018 reduce to 109844580 relations and 85645495 ideals in 6 passes
- Sat Mar 03 21:03:14 2018 max relations containing the same ideal: 180
- Sat Mar 03 21:04:17 2018 removing 6401002 relations and 4401002 ideals in 2000000 cliques
- Sat Mar 03 21:04:19 2018 commencing in-memory singleton removal
- Sat Mar 03 21:04:31 2018 begin with 103443578 relations and 85645495 unique ideals
- Sat Mar 03 21:05:43 2018 reduce to 103145838 relations and 80941686 ideals in 6 passes
- Sat Mar 03 21:05:43 2018 max relations containing the same ideal: 173
- Sat Mar 03 21:06:41 2018 removing 6258687 relations and 4258687 ideals in 2000000 cliques
- Sat Mar 03 21:06:44 2018 commencing in-memory singleton removal
- Sat Mar 03 21:06:54 2018 begin with 96887151 relations and 80941686 unique ideals
- Sat Mar 03 21:08:11 2018 reduce to 96590303 relations and 76380821 ideals in 7 passes
- Sat Mar 03 21:08:11 2018 max relations containing the same ideal: 166
- Sat Mar 03 21:09:06 2018 removing 6167908 relations and 4167908 ideals in 2000000 cliques
- Sat Mar 03 21:09:08 2018 commencing in-memory singleton removal
- Sat Mar 03 21:09:18 2018 begin with 90422395 relations and 76380821 unique ideals
- Sat Mar 03 21:10:18 2018 reduce to 90121823 relations and 71906546 ideals in 6 passes
- Sat Mar 03 21:10:18 2018 max relations containing the same ideal: 162
- Sat Mar 03 21:11:08 2018 removing 6098662 relations and 4098662 ideals in 2000000 cliques
- Sat Mar 03 21:11:10 2018 commencing in-memory singleton removal
- Sat Mar 03 21:11:19 2018 begin with 84023161 relations and 71906546 unique ideals
- Sat Mar 03 21:12:21 2018 reduce to 83710559 relations and 67488953 ideals in 7 passes
- Sat Mar 03 21:12:21 2018 max relations containing the same ideal: 152
- Sat Mar 03 21:13:07 2018 removing 6062791 relations and 4062791 ideals in 2000000 cliques
- Sat Mar 03 21:13:09 2018 commencing in-memory singleton removal
- Sat Mar 03 21:13:17 2018 begin with 77647768 relations and 67488953 unique ideals
- Sat Mar 03 21:14:20 2018 reduce to 77317459 relations and 63088669 ideals in 8 passes
- Sat Mar 03 21:14:20 2018 max relations containing the same ideal: 143
- Sat Mar 03 21:15:00 2018 removing 6050837 relations and 4050837 ideals in 2000000 cliques
- Sat Mar 03 21:15:03 2018 commencing in-memory singleton removal
- Sat Mar 03 21:15:10 2018 begin with 71266622 relations and 63088669 unique ideals
- Sat Mar 03 21:15:59 2018 reduce to 70914902 relations and 58677949 ideals in 7 passes
- Sat Mar 03 21:15:59 2018 max relations containing the same ideal: 136
- Sat Mar 03 21:16:37 2018 removing 6058202 relations and 4058202 ideals in 2000000 cliques
- Sat Mar 03 21:16:39 2018 commencing in-memory singleton removal
- Sat Mar 03 21:16:45 2018 begin with 64856700 relations and 58677949 unique ideals
- Sat Mar 03 21:17:27 2018 reduce to 64472602 relations and 54226002 ideals in 7 passes
- Sat Mar 03 21:17:27 2018 max relations containing the same ideal: 127
- Sat Mar 03 21:18:02 2018 removing 6089530 relations and 4089530 ideals in 2000000 cliques
- Sat Mar 03 21:18:04 2018 commencing in-memory singleton removal
- Sat Mar 03 21:18:09 2018 begin with 58383072 relations and 54226002 unique ideals
- Sat Mar 03 21:18:46 2018 reduce to 57957711 relations and 49699558 ideals in 7 passes
- Sat Mar 03 21:18:46 2018 max relations containing the same ideal: 122
- Sat Mar 03 21:19:18 2018 removing 6143516 relations and 4143516 ideals in 2000000 cliques
- Sat Mar 03 21:19:20 2018 commencing in-memory singleton removal
- Sat Mar 03 21:19:24 2018 begin with 51814195 relations and 49699558 unique ideals
- Sat Mar 03 21:19:57 2018 reduce to 51333777 relations and 45061266 ideals in 7 passes
- Sat Mar 03 21:19:57 2018 max relations containing the same ideal: 113
- Sat Mar 03 21:20:25 2018 removing 6219606 relations and 4219606 ideals in 2000000 cliques
- Sat Mar 03 21:20:27 2018 commencing in-memory singleton removal
- Sat Mar 03 21:20:31 2018 begin with 45114171 relations and 45061266 unique ideals
- Sat Mar 03 21:21:06 2018 reduce to 44556280 relations and 40264772 ideals in 9 passes
- Sat Mar 03 21:21:06 2018 max relations containing the same ideal: 99
- Sat Mar 03 21:21:31 2018 removing 6324630 relations and 4324630 ideals in 2000000 cliques
- Sat Mar 03 21:21:33 2018 commencing in-memory singleton removal
- Sat Mar 03 21:21:36 2018 begin with 38231650 relations and 40264772 unique ideals
- Sat Mar 03 21:22:02 2018 reduce to 37561266 relations and 35243806 ideals in 8 passes
- Sat Mar 03 21:22:02 2018 max relations containing the same ideal: 90
- Sat Mar 03 21:22:23 2018 removing 5164993 relations and 3650809 ideals in 1514184 cliques
- Sat Mar 03 21:22:24 2018 commencing in-memory singleton removal
- Sat Mar 03 21:22:27 2018 begin with 32396273 relations and 35243806 unique ideals
- Sat Mar 03 21:22:48 2018 reduce to 31852817 relations and 31030033 ideals in 8 passes
- Sat Mar 03 21:22:48 2018 max relations containing the same ideal: 78
- Sat Mar 03 21:23:06 2018 removing 140511 relations and 121003 ideals in 19508 cliques
- Sat Mar 03 21:23:07 2018 commencing in-memory singleton removal
- Sat Mar 03 21:23:09 2018 begin with 31712306 relations and 31030033 unique ideals
- Sat Mar 03 21:23:20 2018 reduce to 31711942 relations and 30908665 ideals in 4 passes
- Sat Mar 03 21:23:20 2018 max relations containing the same ideal: 78
- Sat Mar 03 21:23:26 2018 relations with 0 large ideals: 55265
- Sat Mar 03 21:23:26 2018 relations with 1 large ideals: 11633
- Sat Mar 03 21:23:26 2018 relations with 2 large ideals: 141874
- Sat Mar 03 21:23:26 2018 relations with 3 large ideals: 909389
- Sat Mar 03 21:23:26 2018 relations with 4 large ideals: 3220278
- Sat Mar 03 21:23:26 2018 relations with 5 large ideals: 7798362
- Sat Mar 03 21:23:26 2018 relations with 6 large ideals: 8388520
- Sat Mar 03 21:23:26 2018 relations with 7+ large ideals: 11186621
- Sat Mar 03 21:23:26 2018 commencing 2-way merge
- Sat Mar 03 21:23:49 2018 reduce to 20974266 relation sets and 20170989 unique ideals
- Sat Mar 03 21:23:49 2018 commencing full merge
- Sat Mar 03 21:44:04 2018 memory use: 937.4 MB
- Sat Mar 03 21:44:05 2018 found 106628 cycles, need 4562179
- Sat Mar 03 21:44:05 2018 too few cycles, matrix probably cannot build
- Sun Mar 04 01:52:23 2018
- Sun Mar 04 01:52:23 2018
- Sun Mar 04 01:52:23 2018 Msieve v. 1.54 (SVN 1018)
- Sun Mar 04 01:52:23 2018 random seeds: 56553aa0 f0de5597
- Sun Mar 04 01:52:23 2018 factoring 5384873169174688033484914627416258502782704006038543660161218857340297520352400003716518901625026146841528974192690243079422963158159059754414222277185764554172465817418680726205097549486861 (190 digits)
- Sun Mar 04 01:52:24 2018 searching for 15-digit factors
- Sun Mar 04 01:52:25 2018 commencing number field sieve (190-digit input)
- Sun Mar 04 01:52:25 2018 R0: 6591064979223121842783091913720467836620027635880327917
- Sun Mar 04 01:52:25 2018 R1: -1
- Sun Mar 04 01:52:25 2018 A0: 1
- Sun Mar 04 01:52:25 2018 A1: 1
- Sun Mar 04 01:52:25 2018 A2: 1
- Sun Mar 04 01:52:25 2018 A3: 1
- Sun Mar 04 01:52:25 2018 A4: 1
- Sun Mar 04 01:52:25 2018 skew 1.00, size 2.418e-022, alpha 1.694, combined = 2.505e-013 rroots = 0
- Sun Mar 04 01:52:25 2018
- Sun Mar 04 01:52:25 2018 commencing relation filtering
- Sun Mar 04 01:52:25 2018 setting target matrix density to 112.0
- Sun Mar 04 01:52:25 2018 estimated available RAM is 32715.2 MB
- Sun Mar 04 01:52:25 2018 commencing duplicate removal, pass 1
- <errors reading relations>
- Sun Mar 04 02:29:44 2018 skipped 534 relations with b > 2^32
- Sun Mar 04 02:29:44 2018 skipped 783 relations with composite factors
- Sun Mar 04 02:29:44 2018 found 57510048 hash collisions in 263494573 relations
- Sun Mar 04 02:29:44 2018 commencing duplicate removal, pass 2
- Sun Mar 04 02:32:37 2018 found 61112363 duplicates and 202382210 unique relations
- Sun Mar 04 02:32:37 2018 memory use: 1449.5 MB
- Sun Mar 04 02:32:37 2018 reading ideals above 150011904
- Sun Mar 04 02:32:37 2018 commencing singleton removal, initial pass
- Sun Mar 04 02:55:11 2018 memory use: 3012.0 MB
- Sun Mar 04 02:55:11 2018 reading all ideals from disk
- Sun Mar 04 02:55:13 2018 memory use: 3615.8 MB
- Sun Mar 04 02:55:28 2018 commencing in-memory singleton removal
- Sun Mar 04 02:55:41 2018 begin with 202382210 relations and 159350609 unique ideals
- Sun Mar 04 02:58:02 2018 reduce to 142643061 relations and 94274927 ideals in 13 passes
- Sun Mar 04 02:58:02 2018 max relations containing the same ideal: 31
- Sun Mar 04 02:58:17 2018 reading ideals above 720000
- Sun Mar 04 02:58:17 2018 commencing singleton removal, initial pass
- Sun Mar 04 03:18:39 2018 memory use: 3012.0 MB
- Sun Mar 04 03:18:39 2018 reading all ideals from disk
- Sun Mar 04 03:18:43 2018 memory use: 5555.9 MB
- Sun Mar 04 03:19:06 2018 keeping 110471437 ideals with weight <= 200, target excess is 692479
- Sun Mar 04 03:19:30 2018 commencing in-memory singleton removal
- Sun Mar 04 03:19:49 2018 begin with 142643061 relations and 110471437 unique ideals
- Sun Mar 04 03:21:40 2018 reduce to 142640521 relations and 110468891 ideals in 6 passes
- Sun Mar 04 03:21:40 2018 max relations containing the same ideal: 200
- Sun Mar 04 03:23:05 2018 removing 9977069 relations and 7977069 ideals in 2000000 cliques
- Sun Mar 04 03:23:09 2018 commencing in-memory singleton removal
- Sun Mar 04 03:23:27 2018 begin with 132663452 relations and 110468891 unique ideals
- Sun Mar 04 03:25:29 2018 reduce to 132092070 relations and 101909702 ideals in 7 passes
- Sun Mar 04 03:25:29 2018 max relations containing the same ideal: 198
- Sun Mar 04 03:26:48 2018 removing 7651220 relations and 5651220 ideals in 2000000 cliques
- Sun Mar 04 03:26:51 2018 commencing in-memory singleton removal
- Sun Mar 04 03:27:07 2018 begin with 124440850 relations and 101909702 unique ideals
- Sun Mar 04 03:28:56 2018 reduce to 124062503 relations and 95873843 ideals in 7 passes
- Sun Mar 04 03:28:56 2018 max relations containing the same ideal: 193
- Sun Mar 04 03:30:05 2018 removing 6966108 relations and 4966108 ideals in 2000000 cliques
- Sun Mar 04 03:30:08 2018 commencing in-memory singleton removal
- Sun Mar 04 03:30:21 2018 begin with 117096395 relations and 95873843 unique ideals
- Sun Mar 04 03:31:57 2018 reduce to 116768363 relations and 90574318 ideals in 7 passes
- Sun Mar 04 03:31:57 2018 max relations containing the same ideal: 187
- Sun Mar 04 03:33:03 2018 removing 6616782 relations and 4616782 ideals in 2000000 cliques
- Sun Mar 04 03:33:06 2018 commencing in-memory singleton removal
- Sun Mar 04 03:33:19 2018 begin with 110151581 relations and 90574318 unique ideals
- Sun Mar 04 03:34:37 2018 reduce to 109844580 relations and 85645495 ideals in 6 passes
- Sun Mar 04 03:34:37 2018 max relations containing the same ideal: 180
- Sun Mar 04 03:35:40 2018 removing 6401002 relations and 4401002 ideals in 2000000 cliques
- Sun Mar 04 03:35:43 2018 commencing in-memory singleton removal
- Sun Mar 04 03:35:55 2018 begin with 103443578 relations and 85645495 unique ideals
- Sun Mar 04 03:37:07 2018 reduce to 103145838 relations and 80941686 ideals in 6 passes
- Sun Mar 04 03:37:07 2018 max relations containing the same ideal: 173
- Sun Mar 04 03:38:05 2018 removing 6258687 relations and 4258687 ideals in 2000000 cliques
- Sun Mar 04 03:38:08 2018 commencing in-memory singleton removal
- Sun Mar 04 03:38:18 2018 begin with 96887151 relations and 80941686 unique ideals
- Sun Mar 04 03:39:33 2018 reduce to 96590303 relations and 76380821 ideals in 7 passes
- Sun Mar 04 03:39:33 2018 max relations containing the same ideal: 166
- Sun Mar 04 03:40:27 2018 removing 6167908 relations and 4167908 ideals in 2000000 cliques
- Sun Mar 04 03:40:29 2018 commencing in-memory singleton removal
- Sun Mar 04 03:40:39 2018 begin with 90422395 relations and 76380821 unique ideals
- Sun Mar 04 03:41:37 2018 reduce to 90121823 relations and 71906546 ideals in 6 passes
- Sun Mar 04 03:41:37 2018 max relations containing the same ideal: 162
- Sun Mar 04 03:42:26 2018 removing 6098662 relations and 4098662 ideals in 2000000 cliques
- Sun Mar 04 03:42:29 2018 commencing in-memory singleton removal
- Sun Mar 04 03:42:37 2018 begin with 84023161 relations and 71906546 unique ideals
- Sun Mar 04 03:43:35 2018 reduce to 83710559 relations and 67488953 ideals in 7 passes
- Sun Mar 04 03:43:35 2018 max relations containing the same ideal: 152
- Sun Mar 04 03:44:19 2018 removing 6062791 relations and 4062791 ideals in 2000000 cliques
- Sun Mar 04 03:44:22 2018 commencing in-memory singleton removal
- Sun Mar 04 03:44:29 2018 begin with 77647768 relations and 67488953 unique ideals
- Sun Mar 04 03:45:30 2018 reduce to 77317459 relations and 63088669 ideals in 8 passes
- Sun Mar 04 03:45:30 2018 max relations containing the same ideal: 143
- Sun Mar 04 03:46:12 2018 removing 6050837 relations and 4050837 ideals in 2000000 cliques
- Sun Mar 04 03:46:14 2018 commencing in-memory singleton removal
- Sun Mar 04 03:46:21 2018 begin with 71266622 relations and 63088669 unique ideals
- Sun Mar 04 03:47:09 2018 reduce to 70914902 relations and 58677949 ideals in 7 passes
- Sun Mar 04 03:47:09 2018 max relations containing the same ideal: 136
- Sun Mar 04 03:47:47 2018 removing 6058202 relations and 4058202 ideals in 2000000 cliques
- Sun Mar 04 03:47:49 2018 commencing in-memory singleton removal
- Sun Mar 04 03:47:55 2018 begin with 64856700 relations and 58677949 unique ideals
- Sun Mar 04 03:48:37 2018 reduce to 64472602 relations and 54226002 ideals in 7 passes
- Sun Mar 04 03:48:37 2018 max relations containing the same ideal: 127
- Sun Mar 04 03:49:12 2018 removing 6089530 relations and 4089530 ideals in 2000000 cliques
- Sun Mar 04 03:49:14 2018 commencing in-memory singleton removal
- Sun Mar 04 03:49:19 2018 begin with 58383072 relations and 54226002 unique ideals
- Sun Mar 04 03:49:57 2018 reduce to 57957711 relations and 49699558 ideals in 7 passes
- Sun Mar 04 03:49:57 2018 max relations containing the same ideal: 122
- Sun Mar 04 03:50:28 2018 removing 6143516 relations and 4143516 ideals in 2000000 cliques
- Sun Mar 04 03:50:30 2018 commencing in-memory singleton removal
- Sun Mar 04 03:50:34 2018 begin with 51814195 relations and 49699558 unique ideals
- Sun Mar 04 03:51:07 2018 reduce to 51333777 relations and 45061266 ideals in 7 passes
- Sun Mar 04 03:51:07 2018 max relations containing the same ideal: 113
- Sun Mar 04 03:51:34 2018 removing 6219606 relations and 4219606 ideals in 2000000 cliques
- Sun Mar 04 03:51:36 2018 commencing in-memory singleton removal
- Sun Mar 04 03:51:40 2018 begin with 45114171 relations and 45061266 unique ideals
- Sun Mar 04 03:52:15 2018 reduce to 44556280 relations and 40264772 ideals in 9 passes
- Sun Mar 04 03:52:15 2018 max relations containing the same ideal: 99
- Sun Mar 04 03:52:40 2018 removing 6324630 relations and 4324630 ideals in 2000000 cliques
- Sun Mar 04 03:52:42 2018 commencing in-memory singleton removal
- Sun Mar 04 03:52:45 2018 begin with 38231650 relations and 40264772 unique ideals
- Sun Mar 04 03:53:11 2018 reduce to 37561266 relations and 35243806 ideals in 8 passes
- Sun Mar 04 03:53:11 2018 max relations containing the same ideal: 90
- Sun Mar 04 03:53:31 2018 removing 5164993 relations and 3650809 ideals in 1514184 cliques
- Sun Mar 04 03:53:33 2018 commencing in-memory singleton removal
- Sun Mar 04 03:53:36 2018 begin with 32396273 relations and 35243806 unique ideals
- Sun Mar 04 03:53:57 2018 reduce to 31852817 relations and 31030033 ideals in 8 passes
- Sun Mar 04 03:53:57 2018 max relations containing the same ideal: 78
- Sun Mar 04 03:54:15 2018 removing 140511 relations and 121003 ideals in 19508 cliques
- Sun Mar 04 03:54:16 2018 commencing in-memory singleton removal
- Sun Mar 04 03:54:18 2018 begin with 31712306 relations and 31030033 unique ideals
- Sun Mar 04 03:54:28 2018 reduce to 31711942 relations and 30908665 ideals in 4 passes
- Sun Mar 04 03:54:28 2018 max relations containing the same ideal: 78
- Sun Mar 04 03:54:34 2018 relations with 0 large ideals: 55265
- Sun Mar 04 03:54:34 2018 relations with 1 large ideals: 11633
- Sun Mar 04 03:54:34 2018 relations with 2 large ideals: 141874
- Sun Mar 04 03:54:34 2018 relations with 3 large ideals: 909389
- Sun Mar 04 03:54:34 2018 relations with 4 large ideals: 3220278
- Sun Mar 04 03:54:34 2018 relations with 5 large ideals: 7798362
- Sun Mar 04 03:54:34 2018 relations with 6 large ideals: 8388520
- Sun Mar 04 03:54:34 2018 relations with 7+ large ideals: 11186621
- Sun Mar 04 03:54:34 2018 commencing 2-way merge
- Sun Mar 04 03:54:58 2018 reduce to 20974266 relation sets and 20170989 unique ideals
- Sun Mar 04 03:54:58 2018 commencing full merge
- Sun Mar 04 04:06:11 2018 memory use: 2527.1 MB
- Sun Mar 04 04:06:17 2018 found 9390907 cycles, need 9383189
- Sun Mar 04 04:06:17 2018 weight of 9383189 cycles is about 1051584129 (112.07/cycle)
- Sun Mar 04 04:06:17 2018 distribution of cycle lengths:
- Sun Mar 04 04:06:17 2018 1 relations: 437043
- Sun Mar 04 04:06:17 2018 2 relations: 558100
- Sun Mar 04 04:06:17 2018 3 relations: 635725
- Sun Mar 04 04:06:17 2018 4 relations: 655164
- Sun Mar 04 04:06:17 2018 5 relations: 669092
- Sun Mar 04 04:06:17 2018 6 relations: 664639
- Sun Mar 04 04:06:17 2018 7 relations: 651170
- Sun Mar 04 04:06:17 2018 8 relations: 624308
- Sun Mar 04 04:06:17 2018 9 relations: 590403
- Sun Mar 04 04:06:17 2018 10+ relations: 3897545
- Sun Mar 04 04:06:17 2018 heaviest cycle: 28 relations
- Sun Mar 04 04:06:30 2018 commencing cycle optimization
- Sun Mar 04 04:06:51 2018 start with 85764217 relations
- Sun Mar 04 04:11:53 2018 pruned 4132042 relations
- Sun Mar 04 04:11:53 2018 memory use: 2195.7 MB
- Sun Mar 04 04:11:53 2018 distribution of cycle lengths:
- Sun Mar 04 04:11:53 2018 1 relations: 437043
- Sun Mar 04 04:11:53 2018 2 relations: 570233
- Sun Mar 04 04:11:53 2018 3 relations: 661980
- Sun Mar 04 04:11:53 2018 4 relations: 683585
- Sun Mar 04 04:11:53 2018 5 relations: 704676
- Sun Mar 04 04:11:53 2018 6 relations: 698638
- Sun Mar 04 04:11:53 2018 7 relations: 687103
- Sun Mar 04 04:11:53 2018 8 relations: 656573
- Sun Mar 04 04:11:53 2018 9 relations: 620447
- Sun Mar 04 04:11:53 2018 10+ relations: 3662911
- Sun Mar 04 04:11:53 2018 heaviest cycle: 28 relations
- Sun Mar 04 04:12:17 2018 RelProcTime: 8392
- Sun Mar 04 04:12:17 2018 elapsed time 02:19:54
- Sun Mar 04 10:23:15 2018
- Sun Mar 04 10:23:15 2018
- Sun Mar 04 10:23:15 2018 Msieve v. 1.54 (SVN 1018)
- Sun Mar 04 10:23:15 2018 random seeds: 3c318400 9241687f
- Sun Mar 04 10:23:15 2018 factoring 5384873169174688033484914627416258502782704006038543660161218857340297520352400003716518901625026146841528974192690243079422963158159059754414222277185764554172465817418680726205097549486861 (190 digits)
- Sun Mar 04 10:23:16 2018 searching for 15-digit factors
- Sun Mar 04 10:23:16 2018 commencing number field sieve (190-digit input)
- Sun Mar 04 10:23:16 2018 R0: 6591064979223121842783091913720467836620027635880327917
- Sun Mar 04 10:23:16 2018 R1: -1
- Sun Mar 04 10:23:16 2018 A0: 1
- Sun Mar 04 10:23:16 2018 A1: 1
- Sun Mar 04 10:23:16 2018 A2: 1
- Sun Mar 04 10:23:16 2018 A3: 1
- Sun Mar 04 10:23:16 2018 A4: 1
- Sun Mar 04 10:23:16 2018 skew 1.00, size 2.418e-022, alpha 1.694, combined = 2.505e-013 rroots = 0
- Sun Mar 04 10:23:16 2018
- Sun Mar 04 10:23:16 2018 commencing linear algebra
- Sun Mar 04 10:23:18 2018 read 9383189 cycles
- Sun Mar 04 10:23:42 2018 cycles contain 31262375 unique relations
- Sun Mar 04 10:27:12 2018 read 31262375 relations
- Sun Mar 04 10:28:04 2018 using 20 quadratic characters above 4294917295
- Sun Mar 04 10:30:10 2018 building initial matrix
- Sun Mar 04 10:35:19 2018 memory use: 3828.0 MB
- Sun Mar 04 10:35:27 2018 read 9383189 cycles
- Sun Mar 04 10:35:29 2018 matrix is 9383012 x 9383189 (4153.0 MB) with weight 1192149150 (127.05/col)
- Sun Mar 04 10:35:29 2018 sparse part has weight 985468828 (105.02/col)
- Sun Mar 04 10:37:25 2018 filtering completed in 2 passes
- Sun Mar 04 10:37:26 2018 matrix is 9382907 x 9383084 (4153.0 MB) with weight 1192145526 (127.05/col)
- Sun Mar 04 10:37:26 2018 sparse part has weight 985467519 (105.03/col)
- Sun Mar 04 10:37:55 2018 matrix starts at (0, 0)
- Sun Mar 04 10:37:56 2018 matrix is 9382907 x 9383084 (4153.0 MB) with weight 1192145526 (127.05/col)
- Sun Mar 04 10:37:56 2018 sparse part has weight 985467519 (105.03/col)
- Sun Mar 04 10:37:56 2018 saving the first 48 matrix rows for later
- Sun Mar 04 10:37:59 2018 matrix includes 64 packed rows
- Sun Mar 04 10:38:00 2018 matrix is 9382859 x 9383084 (3977.5 MB) with weight 1018367010 (108.53/col)
- Sun Mar 04 10:38:00 2018 sparse part has weight 948851099 (101.12/col)
- Sun Mar 04 10:38:00 2018 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
- Sun Mar 04 10:38:50 2018 commencing Lanczos iteration (4 threads)
- Sun Mar 04 10:38:50 2018 memory use: 3379.5 MB
- Sun Mar 04 10:39:29 2018 linear algebra at 0.0%, ETA 63h18m
- Sun Mar 04 10:39:41 2018 checkpointing every 150000 dimensions
- Wed Mar 07 02:00:54 2018 lanczos halted after 148383 iterations (dim = 9382857)
- Wed Mar 07 02:01:03 2018 recovered 37 nontrivial dependencies
- Wed Mar 07 02:01:07 2018 BLanczosTime: 229071
- Wed Mar 07 02:01:07 2018 elapsed time 63:37:52
- Wed Mar 07 02:17:28 2018
- Wed Mar 07 02:17:28 2018
- Wed Mar 07 02:17:28 2018 Msieve v. 1.54 (SVN 1018)
- Wed Mar 07 02:17:28 2018 random seeds: 4dc42f50 ca700a21
- Wed Mar 07 02:17:28 2018 factoring 5384873169174688033484914627416258502782704006038543660161218857340297520352400003716518901625026146841528974192690243079422963158159059754414222277185764554172465817418680726205097549486861 (190 digits)
- Wed Mar 07 02:17:29 2018 searching for 15-digit factors
- Wed Mar 07 02:17:29 2018 commencing number field sieve (190-digit input)
- Wed Mar 07 02:17:29 2018 R0: 6591064979223121842783091913720467836620027635880327917
- Wed Mar 07 02:17:29 2018 R1: -1
- Wed Mar 07 02:17:29 2018 A0: 1
- Wed Mar 07 02:17:29 2018 A1: 1
- Wed Mar 07 02:17:29 2018 A2: 1
- Wed Mar 07 02:17:29 2018 A3: 1
- Wed Mar 07 02:17:29 2018 A4: 1
- Wed Mar 07 02:17:29 2018 skew 1.00, size 2.418e-022, alpha 1.694, combined = 2.505e-013 rroots = 0
- Wed Mar 07 02:17:29 2018
- Wed Mar 07 02:17:29 2018 commencing square root phase
- Wed Mar 07 02:17:29 2018 reading relations for dependency 1
- Wed Mar 07 02:17:31 2018 read 4692826 cycles
- Wed Mar 07 02:17:41 2018 cycles contain 15638084 unique relations
- Wed Mar 07 02:19:49 2018 read 15638084 relations
- Wed Mar 07 02:21:07 2018 multiplying 15638084 relations
- Wed Mar 07 02:26:29 2018 multiply complete, coefficients have about 398.16 million bits
- Wed Mar 07 02:26:31 2018 initial square root is modulo 13943143
- Wed Mar 07 02:32:51 2018 GCD is 1, no factor found
- Wed Mar 07 02:32:51 2018 reading relations for dependency 2
- Wed Mar 07 02:32:53 2018 read 4694148 cycles
- Wed Mar 07 02:33:05 2018 cycles contain 15636758 unique relations
- Wed Mar 07 02:35:16 2018 read 15636758 relations
- Wed Mar 07 02:36:34 2018 multiplying 15636758 relations
- Wed Mar 07 02:41:55 2018 multiply complete, coefficients have about 398.13 million bits
- Wed Mar 07 02:41:57 2018 initial square root is modulo 13921703
- Wed Mar 07 02:48:18 2018 GCD is 1, no factor found
- Wed Mar 07 02:48:18 2018 reading relations for dependency 3
- Wed Mar 07 02:48:20 2018 read 4692269 cycles
- Wed Mar 07 02:48:32 2018 cycles contain 15633430 unique relations
- Wed Mar 07 02:50:43 2018 read 15633430 relations
- Wed Mar 07 02:52:01 2018 multiplying 15633430 relations
- Wed Mar 07 02:57:19 2018 multiply complete, coefficients have about 398.05 million bits
- Wed Mar 07 02:57:21 2018 initial square root is modulo 13874573
- Wed Mar 07 03:03:47 2018 sqrtTime: 2778
- Wed Mar 07 03:03:47 2018 p88 factor: 2198482122787599725570047016227081448627462203124419539078036192646097631052654915600231
- Wed Mar 07 03:03:47 2018 p103 factor: 2449359543732315658566436703343001714736592747534508971148702399714198087212601423387187247655486778731
- Wed Mar 07 03:03:47 2018 elapsed time 00:46:19

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