Sun Sep 15 16:17:27 2019 Sun Sep 15 16:17:27 2019 Sun Sep 15 16:17:27 2019 Msieve v. 1.53 (SVN 988M) Sun Sep 15 16:17:27 2019 random seeds: 7a01524b d72f3a1a Sun Sep 15 16:17:27 2019 factoring 177925942221081171048476729824653284468017226670967783773269511287674165798685030581130817502608997519749815654000156430531477673620574070310862469038540391801573075329254352390131781969747229351649290963317092472948801 (219 digits) Sun Sep 15 16:17:28 2019 searching for 15-digit factors Sun Sep 15 16:17:29 2019 commencing number field sieve (219-digit input) Sun Sep 15 16:17:29 2019 R0: 16543612251060553497428173841399257071316242218017578125 Sun Sep 15 16:17:29 2019 R1: -49269609804781974438694403402127765867 Sun Sep 15 16:17:29 2019 A0: 1 Sun Sep 15 16:17:29 2019 A1: -1 Sun Sep 15 16:17:29 2019 A2: 1 Sun Sep 15 16:17:29 2019 A3: -1 Sun Sep 15 16:17:29 2019 A4: 1 Sun Sep 15 16:17:29 2019 skew 1.00, size 1.673e-22, alpha 1.694, combined = 2.023e-13 rroots = 0 Sun Sep 15 16:17:29 2019 Sun Sep 15 16:17:29 2019 commencing relation filtering Sun Sep 15 16:17:29 2019 setting target matrix density to 130.0 Sun Sep 15 16:17:29 2019 estimated available RAM is 32768.0 MB Sun Sep 15 16:17:29 2019 commencing duplicate removal, pass 1 Sun Sep 15 16:20:52 2019 error -15 reading relation 32676828 [10505 more error lines] Sun Sep 15 16:35:33 2019 error -5 reading relation 180230862 Sun Sep 15 16:37:35 2019 skipped 825 relations with b > 2^32 Sun Sep 15 16:37:35 2019 skipped 3169 relations with composite factors Sun Sep 15 16:37:35 2019 found 8916885 hash collisions in 201816091 relations Sun Sep 15 16:37:41 2019 added 3657741 free relations Sun Sep 15 16:37:41 2019 commencing duplicate removal, pass 2 Sun Sep 15 16:38:43 2019 found 0 duplicates and 205473832 unique relations Sun Sep 15 16:38:43 2019 memory use: 522.4 MB Sun Sep 15 16:38:43 2019 reading ideals above 189857792 Sun Sep 15 16:38:43 2019 commencing singleton removal, initial pass Sun Sep 15 16:52:42 2019 memory use: 3012.0 MB Sun Sep 15 16:52:43 2019 reading all ideals from disk Sun Sep 15 16:54:08 2019 memory use: 3526.7 MB Sun Sep 15 16:54:15 2019 commencing in-memory singleton removal Sun Sep 15 16:54:22 2019 begin with 205473832 relations and 156644008 unique ideals Sun Sep 15 16:55:54 2019 reduce to 147328931 relations and 93513706 ideals in 14 passes Sun Sep 15 16:55:55 2019 max relations containing the same ideal: 46 Sun Sep 15 16:56:13 2019 reading ideals above 720000 Sun Sep 15 16:56:13 2019 commencing singleton removal, initial pass Sun Sep 15 17:10:28 2019 memory use: 3012.0 MB Sun Sep 15 17:10:29 2019 reading all ideals from disk Sun Sep 15 17:12:49 2019 memory use: 5787.5 MB Sun Sep 15 17:13:02 2019 keeping 113897171 ideals with weight <= 200, target excess is 712036 Sun Sep 15 17:13:15 2019 commencing in-memory singleton removal Sun Sep 15 17:13:25 2019 begin with 147328931 relations and 113897171 unique ideals Sun Sep 15 17:14:44 2019 reduce to 147316991 relations and 113885161 ideals in 7 passes Sun Sep 15 17:14:44 2019 max relations containing the same ideal: 200 Sun Sep 15 17:15:36 2019 removing 9902899 relations and 7902899 ideals in 2000000 cliques Sun Sep 15 17:15:39 2019 commencing in-memory singleton removal Sun Sep 15 17:15:49 2019 begin with 137414092 relations and 113885161 unique ideals Sun Sep 15 17:17:03 2019 reduce to 136864649 relations and 105422807 ideals in 7 passes Sun Sep 15 17:17:05 2019 max relations containing the same ideal: 198 Sun Sep 15 17:17:54 2019 removing 7608875 relations and 5608875 ideals in 2000000 cliques Sun Sep 15 17:17:57 2019 commencing in-memory singleton removal Sun Sep 15 17:18:05 2019 begin with 129255774 relations and 105422807 unique ideals Sun Sep 15 17:19:15 2019 reduce to 128892289 relations and 99444626 ideals in 7 passes Sun Sep 15 17:19:15 2019 max relations containing the same ideal: 193 Sun Sep 15 17:20:01 2019 removing 6931834 relations and 4931834 ideals in 2000000 cliques Sun Sep 15 17:20:04 2019 commencing in-memory singleton removal Sun Sep 15 17:20:12 2019 begin with 121960455 relations and 99444626 unique ideals Sun Sep 15 17:21:17 2019 reduce to 121643049 relations and 94190331 ideals in 7 passes Sun Sep 15 17:21:18 2019 max relations containing the same ideal: 188 Sun Sep 15 17:22:02 2019 removing 6586871 relations and 4586871 ideals in 2000000 cliques Sun Sep 15 17:22:04 2019 commencing in-memory singleton removal Sun Sep 15 17:22:12 2019 begin with 115056178 relations and 94190331 unique ideals Sun Sep 15 17:23:13 2019 reduce to 114761098 relations and 89303758 ideals in 7 passes Sun Sep 15 17:23:13 2019 max relations containing the same ideal: 182 Sun Sep 15 17:23:54 2019 removing 6374603 relations and 4374603 ideals in 2000000 cliques Sun Sep 15 17:23:57 2019 commencing in-memory singleton removal Sun Sep 15 17:24:04 2019 begin with 108386495 relations and 89303758 unique ideals Sun Sep 15 17:25:01 2019 reduce to 108101981 relations and 84640054 ideals in 7 passes Sun Sep 15 17:25:03 2019 max relations containing the same ideal: 174 Sun Sep 15 17:25:42 2019 removing 6233771 relations and 4233771 ideals in 2000000 cliques Sun Sep 15 17:25:45 2019 commencing in-memory singleton removal Sun Sep 15 17:25:51 2019 begin with 101868210 relations and 84640054 unique ideals Sun Sep 15 17:26:37 2019 reduce to 101586198 relations and 80119458 ideals in 6 passes Sun Sep 15 17:26:37 2019 max relations containing the same ideal: 168 Sun Sep 15 17:27:14 2019 removing 6132862 relations and 4132862 ideals in 2000000 cliques Sun Sep 15 17:27:17 2019 commencing in-memory singleton removal Sun Sep 15 17:27:23 2019 begin with 95453336 relations and 80119458 unique ideals Sun Sep 15 17:28:13 2019 reduce to 95167343 relations and 75695413 ideals in 7 passes Sun Sep 15 17:28:13 2019 max relations containing the same ideal: 161 Sun Sep 15 17:28:47 2019 removing 6065993 relations and 4065993 ideals in 2000000 cliques Sun Sep 15 17:28:50 2019 commencing in-memory singleton removal Sun Sep 15 17:28:56 2019 begin with 89101350 relations and 75695413 unique ideals Sun Sep 15 17:29:35 2019 reduce to 88807280 relations and 71329830 ideals in 6 passes Sun Sep 15 17:29:35 2019 max relations containing the same ideal: 155 Sun Sep 15 17:30:08 2019 removing 6026650 relations and 4026650 ideals in 2000000 cliques Sun Sep 15 17:30:10 2019 commencing in-memory singleton removal Sun Sep 15 17:30:16 2019 begin with 82780630 relations and 71329830 unique ideals Sun Sep 15 17:30:59 2019 reduce to 82476389 relations and 66992693 ideals in 7 passes Sun Sep 15 17:30:59 2019 max relations containing the same ideal: 148 Sun Sep 15 17:31:28 2019 removing 6004349 relations and 4004349 ideals in 2000000 cliques Sun Sep 15 17:31:31 2019 commencing in-memory singleton removal Sun Sep 15 17:31:35 2019 begin with 76472040 relations and 66992693 unique ideals Sun Sep 15 17:32:09 2019 reduce to 76149489 relations and 62658779 ideals in 6 passes Sun Sep 15 17:32:09 2019 max relations containing the same ideal: 143 Sun Sep 15 17:32:37 2019 removing 6000162 relations and 4000162 ideals in 2000000 cliques Sun Sep 15 17:32:39 2019 commencing in-memory singleton removal Sun Sep 15 17:32:43 2019 begin with 70149327 relations and 62658779 unique ideals Sun Sep 15 17:33:19 2019 reduce to 69803855 relations and 58304956 ideals in 7 passes Sun Sep 15 17:33:19 2019 max relations containing the same ideal: 135 Sun Sep 15 17:33:45 2019 removing 6012113 relations and 4012113 ideals in 2000000 cliques Sun Sep 15 17:33:47 2019 commencing in-memory singleton removal Sun Sep 15 17:33:51 2019 begin with 63791742 relations and 58304956 unique ideals Sun Sep 15 17:34:23 2019 reduce to 63416529 relations and 53908188 ideals in 7 passes Sun Sep 15 17:34:23 2019 max relations containing the same ideal: 125 Sun Sep 15 17:34:46 2019 removing 6041611 relations and 4041611 ideals in 2000000 cliques Sun Sep 15 17:34:48 2019 commencing in-memory singleton removal Sun Sep 15 17:34:52 2019 begin with 57374918 relations and 53908188 unique ideals Sun Sep 15 17:35:20 2019 reduce to 56962873 relations and 49443136 ideals in 7 passes Sun Sep 15 17:35:20 2019 max relations containing the same ideal: 115 Sun Sep 15 17:35:42 2019 removing 6084418 relations and 4084418 ideals in 2000000 cliques Sun Sep 15 17:35:43 2019 commencing in-memory singleton removal Sun Sep 15 17:35:47 2019 begin with 50878455 relations and 49443136 unique ideals Sun Sep 15 17:36:11 2019 reduce to 50415748 relations and 44881623 ideals in 7 passes Sun Sep 15 17:36:11 2019 max relations containing the same ideal: 106 Sun Sep 15 17:36:31 2019 removing 6141652 relations and 4141652 ideals in 2000000 cliques Sun Sep 15 17:36:33 2019 commencing in-memory singleton removal Sun Sep 15 17:36:35 2019 begin with 44274096 relations and 44881623 unique ideals Sun Sep 15 17:36:57 2019 reduce to 43742772 relations and 40190277 ideals in 7 passes Sun Sep 15 17:36:57 2019 max relations containing the same ideal: 97 Sun Sep 15 17:37:13 2019 removing 6222390 relations and 4222390 ideals in 2000000 cliques Sun Sep 15 17:37:15 2019 commencing in-memory singleton removal Sun Sep 15 17:37:17 2019 begin with 37520382 relations and 40190277 unique ideals Sun Sep 15 17:37:38 2019 reduce to 36884334 relations and 35306972 ideals in 8 passes Sun Sep 15 17:37:38 2019 max relations containing the same ideal: 85 Sun Sep 15 17:37:52 2019 removing 2893820 relations and 2142420 ideals in 751400 cliques Sun Sep 15 17:37:53 2019 commencing in-memory singleton removal Sun Sep 15 17:37:55 2019 begin with 33990514 relations and 35306972 unique ideals Sun Sep 15 17:38:11 2019 reduce to 33822390 relations and 32993337 ideals in 7 passes Sun Sep 15 17:38:11 2019 max relations containing the same ideal: 82 Sun Sep 15 17:38:27 2019 relations with 0 large ideals: 57618 Sun Sep 15 17:38:27 2019 relations with 1 large ideals: 10831 Sun Sep 15 17:38:27 2019 relations with 2 large ideals: 129963 Sun Sep 15 17:38:27 2019 relations with 3 large ideals: 866665 Sun Sep 15 17:38:27 2019 relations with 4 large ideals: 3170054 Sun Sep 15 17:38:27 2019 relations with 5 large ideals: 8022424 Sun Sep 15 17:38:27 2019 relations with 6 large ideals: 8913515 Sun Sep 15 17:38:27 2019 relations with 7+ large ideals: 12651320 Sun Sep 15 17:38:27 2019 commencing 2-way merge Sun Sep 15 17:38:45 2019 reduce to 22947119 relation sets and 22118066 unique ideals Sun Sep 15 17:38:45 2019 commencing full merge Sun Sep 15 17:52:36 2019 memory use: 1026.3 MB Sun Sep 15 17:52:37 2019 found 87587 cycles, need 4936236 Sun Sep 15 17:52:38 2019 too few cycles, matrix probably cannot build Sun Sep 15 20:44:06 2019 Sun Sep 15 20:44:07 2019 Sun Sep 15 20:44:08 2019 Msieve v. 1.53 (SVN 988M) Sun Sep 15 20:44:08 2019 random seeds: b80be1bc 7b4ca363 Sun Sep 15 20:44:08 2019 factoring 177925942221081171048476729824653284468017226670967783773269511287674165798685030581130817502608997519749815654000156430531477673620574070310862469038540391801573075329254352390131781969747229351649290963317092472948801 (219 digits) Sun Sep 15 20:44:09 2019 searching for 15-digit factors Sun Sep 15 20:44:10 2019 commencing number field sieve (219-digit input) Sun Sep 15 20:44:10 2019 R0: 16543612251060553497428173841399257071316242218017578125 Sun Sep 15 20:44:10 2019 R1: -49269609804781974438694403402127765867 Sun Sep 15 20:44:10 2019 A0: 1 Sun Sep 15 20:44:10 2019 A1: -1 Sun Sep 15 20:44:10 2019 A2: 1 Sun Sep 15 20:44:10 2019 A3: -1 Sun Sep 15 20:44:10 2019 A4: 1 Sun Sep 15 20:44:10 2019 skew 1.00, size 1.673e-22, alpha 1.694, combined = 2.023e-13 rroots = 0 Sun Sep 15 20:44:10 2019 Sun Sep 15 20:44:10 2019 commencing relation filtering Sun Sep 15 20:44:10 2019 setting target matrix density to 120.0 Sun Sep 15 20:44:10 2019 estimated available RAM is 32768.0 MB Sun Sep 15 20:44:10 2019 commencing duplicate removal, pass 1 Sun Sep 15 20:47:13 2019 error -15 reading relation 32676828 [10505 more error lines] Sun Sep 15 21:01:05 2019 error -5 reading relation 180230862 Sun Sep 15 21:03:27 2019 skipped 825 relations with b > 2^32 Sun Sep 15 21:03:27 2019 skipped 3169 relations with composite factors Sun Sep 15 21:03:27 2019 found 9229768 hash collisions in 205473832 relations Sun Sep 15 21:03:27 2019 commencing duplicate removal, pass 2 Sun Sep 15 21:04:13 2019 found 0 duplicates and 205473832 unique relations Sun Sep 15 21:04:14 2019 memory use: 522.4 MB Sun Sep 15 21:04:14 2019 reading ideals above 189857792 Sun Sep 15 21:04:14 2019 commencing singleton removal, initial pass Sun Sep 15 21:18:23 2019 memory use: 3012.0 MB Sun Sep 15 21:18:24 2019 reading all ideals from disk Sun Sep 15 21:19:49 2019 memory use: 3526.7 MB Sun Sep 15 21:19:56 2019 commencing in-memory singleton removal Sun Sep 15 21:20:02 2019 begin with 205473832 relations and 156644008 unique ideals Sun Sep 15 21:21:33 2019 reduce to 147328931 relations and 93513706 ideals in 14 passes Sun Sep 15 21:21:35 2019 max relations containing the same ideal: 46 Sun Sep 15 21:21:53 2019 reading ideals above 720000 Sun Sep 15 21:21:53 2019 commencing singleton removal, initial pass Sun Sep 15 21:35:53 2019 memory use: 3012.0 MB Sun Sep 15 21:35:53 2019 reading all ideals from disk Sun Sep 15 21:38:12 2019 memory use: 5787.5 MB Sun Sep 15 21:38:24 2019 keeping 113897171 ideals with weight <= 200, target excess is 712036 Sun Sep 15 21:38:38 2019 commencing in-memory singleton removal Sun Sep 15 21:38:48 2019 begin with 147328931 relations and 113897171 unique ideals Sun Sep 15 21:40:08 2019 reduce to 147316991 relations and 113885161 ideals in 7 passes Sun Sep 15 21:40:09 2019 max relations containing the same ideal: 200 Sun Sep 15 21:41:01 2019 removing 9902899 relations and 7902899 ideals in 2000000 cliques Sun Sep 15 21:41:05 2019 commencing in-memory singleton removal Sun Sep 15 21:41:14 2019 begin with 137414092 relations and 113885161 unique ideals Sun Sep 15 21:42:29 2019 reduce to 136864649 relations and 105422807 ideals in 7 passes Sun Sep 15 21:42:30 2019 max relations containing the same ideal: 198 Sun Sep 15 21:43:19 2019 removing 7608875 relations and 5608875 ideals in 2000000 cliques Sun Sep 15 21:43:23 2019 commencing in-memory singleton removal Sun Sep 15 21:43:32 2019 begin with 129255774 relations and 105422807 unique ideals Sun Sep 15 21:44:42 2019 reduce to 128892289 relations and 99444626 ideals in 7 passes Sun Sep 15 21:44:43 2019 max relations containing the same ideal: 193 Sun Sep 15 21:45:30 2019 removing 6931834 relations and 4931834 ideals in 2000000 cliques Sun Sep 15 21:45:32 2019 commencing in-memory singleton removal Sun Sep 15 21:45:41 2019 begin with 121960455 relations and 99444626 unique ideals Sun Sep 15 21:46:46 2019 reduce to 121643049 relations and 94190331 ideals in 7 passes Sun Sep 15 21:46:48 2019 max relations containing the same ideal: 188 Sun Sep 15 21:47:31 2019 removing 6586871 relations and 4586871 ideals in 2000000 cliques Sun Sep 15 21:47:34 2019 commencing in-memory singleton removal Sun Sep 15 21:47:41 2019 begin with 115056178 relations and 94190331 unique ideals Sun Sep 15 21:48:43 2019 reduce to 114761098 relations and 89303758 ideals in 7 passes Sun Sep 15 21:48:43 2019 max relations containing the same ideal: 182 Sun Sep 15 21:49:24 2019 removing 6374603 relations and 4374603 ideals in 2000000 cliques Sun Sep 15 21:49:27 2019 commencing in-memory singleton removal Sun Sep 15 21:49:34 2019 begin with 108386495 relations and 89303758 unique ideals Sun Sep 15 21:50:31 2019 reduce to 108101981 relations and 84640054 ideals in 7 passes Sun Sep 15 21:50:32 2019 max relations containing the same ideal: 174 Sun Sep 15 21:51:12 2019 removing 6233771 relations and 4233771 ideals in 2000000 cliques Sun Sep 15 21:51:14 2019 commencing in-memory singleton removal Sun Sep 15 21:51:21 2019 begin with 101868210 relations and 84640054 unique ideals Sun Sep 15 21:52:07 2019 reduce to 101586198 relations and 80119458 ideals in 6 passes Sun Sep 15 21:52:07 2019 max relations containing the same ideal: 168 Sun Sep 15 21:52:44 2019 removing 6132862 relations and 4132862 ideals in 2000000 cliques Sun Sep 15 21:52:46 2019 commencing in-memory singleton removal Sun Sep 15 21:52:53 2019 begin with 95453336 relations and 80119458 unique ideals Sun Sep 15 21:53:43 2019 reduce to 95167343 relations and 75695413 ideals in 7 passes Sun Sep 15 21:53:43 2019 max relations containing the same ideal: 161 Sun Sep 15 21:54:17 2019 removing 6065993 relations and 4065993 ideals in 2000000 cliques Sun Sep 15 21:54:19 2019 commencing in-memory singleton removal Sun Sep 15 21:54:25 2019 begin with 89101350 relations and 75695413 unique ideals Sun Sep 15 21:55:05 2019 reduce to 88807280 relations and 71329830 ideals in 6 passes Sun Sep 15 21:55:05 2019 max relations containing the same ideal: 155 Sun Sep 15 21:55:37 2019 removing 6026650 relations and 4026650 ideals in 2000000 cliques Sun Sep 15 21:55:39 2019 commencing in-memory singleton removal Sun Sep 15 21:55:45 2019 begin with 82780630 relations and 71329830 unique ideals Sun Sep 15 21:56:27 2019 reduce to 82476389 relations and 66992693 ideals in 7 passes Sun Sep 15 21:56:27 2019 max relations containing the same ideal: 148 Sun Sep 15 21:56:57 2019 removing 6004349 relations and 4004349 ideals in 2000000 cliques Sun Sep 15 21:56:59 2019 commencing in-memory singleton removal Sun Sep 15 21:57:04 2019 begin with 76472040 relations and 66992693 unique ideals Sun Sep 15 21:57:37 2019 reduce to 76149489 relations and 62658779 ideals in 6 passes Sun Sep 15 21:57:37 2019 max relations containing the same ideal: 143 Sun Sep 15 21:58:05 2019 removing 6000162 relations and 4000162 ideals in 2000000 cliques Sun Sep 15 21:58:07 2019 commencing in-memory singleton removal Sun Sep 15 21:58:12 2019 begin with 70149327 relations and 62658779 unique ideals Sun Sep 15 21:58:47 2019 reduce to 69803855 relations and 58304956 ideals in 7 passes Sun Sep 15 21:58:47 2019 max relations containing the same ideal: 135 Sun Sep 15 21:59:13 2019 removing 6012113 relations and 4012113 ideals in 2000000 cliques Sun Sep 15 21:59:15 2019 commencing in-memory singleton removal Sun Sep 15 21:59:19 2019 begin with 63791742 relations and 58304956 unique ideals Sun Sep 15 21:59:51 2019 reduce to 63416529 relations and 53908188 ideals in 7 passes Sun Sep 15 21:59:51 2019 max relations containing the same ideal: 125 Sun Sep 15 22:00:15 2019 removing 6041611 relations and 4041611 ideals in 2000000 cliques Sun Sep 15 22:00:17 2019 commencing in-memory singleton removal Sun Sep 15 22:00:21 2019 begin with 57374918 relations and 53908188 unique ideals Sun Sep 15 22:00:49 2019 reduce to 56962873 relations and 49443136 ideals in 7 passes Sun Sep 15 22:00:49 2019 max relations containing the same ideal: 115 Sun Sep 15 22:01:11 2019 removing 6084418 relations and 4084418 ideals in 2000000 cliques Sun Sep 15 22:01:12 2019 commencing in-memory singleton removal Sun Sep 15 22:01:15 2019 begin with 50878455 relations and 49443136 unique ideals Sun Sep 15 22:01:40 2019 reduce to 50415748 relations and 44881623 ideals in 7 passes Sun Sep 15 22:01:40 2019 max relations containing the same ideal: 106 Sun Sep 15 22:02:00 2019 removing 6141652 relations and 4141652 ideals in 2000000 cliques Sun Sep 15 22:02:02 2019 commencing in-memory singleton removal Sun Sep 15 22:02:04 2019 begin with 44274096 relations and 44881623 unique ideals Sun Sep 15 22:02:25 2019 reduce to 43742772 relations and 40190277 ideals in 7 passes Sun Sep 15 22:02:25 2019 max relations containing the same ideal: 97 Sun Sep 15 22:02:42 2019 removing 6222390 relations and 4222390 ideals in 2000000 cliques Sun Sep 15 22:02:44 2019 commencing in-memory singleton removal Sun Sep 15 22:02:46 2019 begin with 37520382 relations and 40190277 unique ideals Sun Sep 15 22:03:07 2019 reduce to 36884334 relations and 35306972 ideals in 8 passes Sun Sep 15 22:03:07 2019 max relations containing the same ideal: 85 Sun Sep 15 22:03:21 2019 removing 2893820 relations and 2142420 ideals in 751400 cliques Sun Sep 15 22:03:22 2019 commencing in-memory singleton removal Sun Sep 15 22:03:24 2019 begin with 33990514 relations and 35306972 unique ideals Sun Sep 15 22:03:40 2019 reduce to 33822390 relations and 32993337 ideals in 7 passes Sun Sep 15 22:03:40 2019 max relations containing the same ideal: 82 Sun Sep 15 22:03:56 2019 relations with 0 large ideals: 57618 Sun Sep 15 22:03:56 2019 relations with 1 large ideals: 10831 Sun Sep 15 22:03:56 2019 relations with 2 large ideals: 129963 Sun Sep 15 22:03:56 2019 relations with 3 large ideals: 866665 Sun Sep 15 22:03:56 2019 relations with 4 large ideals: 3170054 Sun Sep 15 22:03:56 2019 relations with 5 large ideals: 8022424 Sun Sep 15 22:03:56 2019 relations with 6 large ideals: 8913515 Sun Sep 15 22:03:56 2019 relations with 7+ large ideals: 12651320 Sun Sep 15 22:03:56 2019 commencing 2-way merge Sun Sep 15 22:04:14 2019 reduce to 22947119 relation sets and 22118066 unique ideals Sun Sep 15 22:04:14 2019 commencing full merge Sun Sep 15 22:18:01 2019 memory use: 1026.3 MB Sun Sep 15 22:18:02 2019 found 87587 cycles, need 4936236 Sun Sep 15 22:18:03 2019 too few cycles, matrix probably cannot build Sun Sep 15 22:44:40 2019 Sun Sep 15 22:44:41 2019 Sun Sep 15 22:44:42 2019 Msieve v. 1.53 (SVN 988M) Sun Sep 15 22:44:42 2019 random seeds: ac17fae0 ea91af0e Sun Sep 15 22:44:42 2019 factoring 177925942221081171048476729824653284468017226670967783773269511287674165798685030581130817502608997519749815654000156430531477673620574070310862469038540391801573075329254352390131781969747229351649290963317092472948801 (219 digits) Sun Sep 15 22:44:43 2019 searching for 15-digit factors Sun Sep 15 22:44:44 2019 commencing number field sieve (219-digit input) Sun Sep 15 22:44:44 2019 R0: 16543612251060553497428173841399257071316242218017578125 Sun Sep 15 22:44:44 2019 R1: -49269609804781974438694403402127765867 Sun Sep 15 22:44:44 2019 A0: 1 Sun Sep 15 22:44:44 2019 A1: -1 Sun Sep 15 22:44:44 2019 A2: 1 Sun Sep 15 22:44:44 2019 A3: -1 Sun Sep 15 22:44:44 2019 A4: 1 Sun Sep 15 22:44:44 2019 skew 1.00, size 1.673e-22, alpha 1.694, combined = 2.023e-13 rroots = 0 Sun Sep 15 22:44:44 2019 Sun Sep 15 22:44:44 2019 commencing relation filtering Sun Sep 15 22:44:44 2019 setting target matrix density to 114.0 Sun Sep 15 22:44:44 2019 estimated available RAM is 32768.0 MB Sun Sep 15 22:44:44 2019 commencing duplicate removal, pass 1 Sun Sep 15 22:47:46 2019 error -15 reading relation 32676828 [10505 more error lines] Sun Sep 15 23:01:35 2019 error -5 reading relation 180230862 Sun Sep 15 23:03:57 2019 skipped 825 relations with b > 2^32 Sun Sep 15 23:03:57 2019 skipped 3169 relations with composite factors Sun Sep 15 23:03:57 2019 found 9229768 hash collisions in 205473832 relations Sun Sep 15 23:03:57 2019 commencing duplicate removal, pass 2 Sun Sep 15 23:04:43 2019 found 0 duplicates and 205473832 unique relations Sun Sep 15 23:04:43 2019 memory use: 522.4 MB Sun Sep 15 23:04:43 2019 reading ideals above 189857792 Sun Sep 15 23:04:43 2019 commencing singleton removal, initial pass Sun Sep 15 23:18:54 2019 memory use: 3012.0 MB Sun Sep 15 23:18:55 2019 reading all ideals from disk Sun Sep 15 23:20:20 2019 memory use: 3526.7 MB Sun Sep 15 23:20:27 2019 commencing in-memory singleton removal Sun Sep 15 23:20:34 2019 begin with 205473832 relations and 156644008 unique ideals Sun Sep 15 23:22:05 2019 reduce to 147328931 relations and 93513706 ideals in 14 passes Sun Sep 15 23:22:06 2019 max relations containing the same ideal: 46 Sun Sep 15 23:22:24 2019 reading ideals above 720000 Sun Sep 15 23:22:25 2019 commencing singleton removal, initial pass Sun Sep 15 23:36:23 2019 memory use: 3012.0 MB Sun Sep 15 23:36:24 2019 reading all ideals from disk Sun Sep 15 23:38:43 2019 memory use: 5787.5 MB Sun Sep 15 23:38:55 2019 keeping 113897171 ideals with weight <= 200, target excess is 712036 Sun Sep 15 23:39:09 2019 commencing in-memory singleton removal Sun Sep 15 23:39:19 2019 begin with 147328931 relations and 113897171 unique ideals Sun Sep 15 23:40:38 2019 reduce to 147316991 relations and 113885161 ideals in 7 passes Sun Sep 15 23:40:40 2019 max relations containing the same ideal: 200 Sun Sep 15 23:41:32 2019 removing 9902899 relations and 7902899 ideals in 2000000 cliques Sun Sep 15 23:41:36 2019 commencing in-memory singleton removal Sun Sep 15 23:41:45 2019 begin with 137414092 relations and 113885161 unique ideals Sun Sep 15 23:43:00 2019 reduce to 136864649 relations and 105422807 ideals in 7 passes Sun Sep 15 23:43:01 2019 max relations containing the same ideal: 198 Sun Sep 15 23:43:50 2019 removing 7608875 relations and 5608875 ideals in 2000000 cliques Sun Sep 15 23:43:54 2019 commencing in-memory singleton removal Sun Sep 15 23:44:03 2019 begin with 129255774 relations and 105422807 unique ideals Sun Sep 15 23:45:13 2019 reduce to 128892289 relations and 99444626 ideals in 7 passes Sun Sep 15 23:45:14 2019 max relations containing the same ideal: 193 Sun Sep 15 23:46:02 2019 removing 6931834 relations and 4931834 ideals in 2000000 cliques Sun Sep 15 23:46:05 2019 commencing in-memory singleton removal Sun Sep 15 23:46:13 2019 begin with 121960455 relations and 99444626 unique ideals Sun Sep 15 23:47:19 2019 reduce to 121643049 relations and 94190331 ideals in 7 passes Sun Sep 15 23:47:20 2019 max relations containing the same ideal: 188 Sun Sep 15 23:48:03 2019 removing 6586871 relations and 4586871 ideals in 2000000 cliques Sun Sep 15 23:48:06 2019 commencing in-memory singleton removal Sun Sep 15 23:48:14 2019 begin with 115056178 relations and 94190331 unique ideals Sun Sep 15 23:49:15 2019 reduce to 114761098 relations and 89303758 ideals in 7 passes Sun Sep 15 23:49:15 2019 max relations containing the same ideal: 182 Sun Sep 15 23:49:57 2019 removing 6374603 relations and 4374603 ideals in 2000000 cliques Sun Sep 15 23:49:59 2019 commencing in-memory singleton removal Sun Sep 15 23:50:06 2019 begin with 108386495 relations and 89303758 unique ideals Sun Sep 15 23:51:04 2019 reduce to 108101981 relations and 84640054 ideals in 7 passes Sun Sep 15 23:51:04 2019 max relations containing the same ideal: 174 Sun Sep 15 23:51:43 2019 removing 6233771 relations and 4233771 ideals in 2000000 cliques Sun Sep 15 23:51:45 2019 commencing in-memory singleton removal Sun Sep 15 23:51:52 2019 begin with 101868210 relations and 84640054 unique ideals Sun Sep 15 23:52:38 2019 reduce to 101586198 relations and 80119458 ideals in 6 passes Sun Sep 15 23:52:38 2019 max relations containing the same ideal: 168 Sun Sep 15 23:53:15 2019 removing 6132862 relations and 4132862 ideals in 2000000 cliques Sun Sep 15 23:53:18 2019 commencing in-memory singleton removal Sun Sep 15 23:53:24 2019 begin with 95453336 relations and 80119458 unique ideals Sun Sep 15 23:54:14 2019 reduce to 95167343 relations and 75695413 ideals in 7 passes Sun Sep 15 23:54:14 2019 max relations containing the same ideal: 161 Sun Sep 15 23:54:48 2019 removing 6065993 relations and 4065993 ideals in 2000000 cliques Sun Sep 15 23:54:51 2019 commencing in-memory singleton removal Sun Sep 15 23:54:57 2019 begin with 89101350 relations and 75695413 unique ideals Sun Sep 15 23:55:36 2019 reduce to 88807280 relations and 71329830 ideals in 6 passes Sun Sep 15 23:55:36 2019 max relations containing the same ideal: 155 Sun Sep 15 23:56:09 2019 removing 6026650 relations and 4026650 ideals in 2000000 cliques Sun Sep 15 23:56:11 2019 commencing in-memory singleton removal Sun Sep 15 23:56:16 2019 begin with 82780630 relations and 71329830 unique ideals Sun Sep 15 23:56:59 2019 reduce to 82476389 relations and 66992693 ideals in 7 passes Sun Sep 15 23:56:59 2019 max relations containing the same ideal: 148 Sun Sep 15 23:57:30 2019 removing 6004349 relations and 4004349 ideals in 2000000 cliques Sun Sep 15 23:57:32 2019 commencing in-memory singleton removal Sun Sep 15 23:57:37 2019 begin with 76472040 relations and 66992693 unique ideals Sun Sep 15 23:58:10 2019 reduce to 76149489 relations and 62658779 ideals in 6 passes Sun Sep 15 23:58:10 2019 max relations containing the same ideal: 143 Sun Sep 15 23:58:38 2019 removing 6000162 relations and 4000162 ideals in 2000000 cliques Sun Sep 15 23:58:40 2019 commencing in-memory singleton removal Sun Sep 15 23:58:44 2019 begin with 70149327 relations and 62658779 unique ideals Sun Sep 15 23:59:20 2019 reduce to 69803855 relations and 58304956 ideals in 7 passes Sun Sep 15 23:59:20 2019 max relations containing the same ideal: 135 Sun Sep 15 23:59:46 2019 removing 6012113 relations and 4012113 ideals in 2000000 cliques Sun Sep 15 23:59:48 2019 commencing in-memory singleton removal Sun Sep 15 23:59:52 2019 begin with 63791742 relations and 58304956 unique ideals Mon Sep 16 00:00:24 2019 reduce to 63416529 relations and 53908188 ideals in 7 passes Mon Sep 16 00:00:24 2019 max relations containing the same ideal: 125 Mon Sep 16 00:00:48 2019 removing 6041611 relations and 4041611 ideals in 2000000 cliques Mon Sep 16 00:00:50 2019 commencing in-memory singleton removal Mon Sep 16 00:00:53 2019 begin with 57374918 relations and 53908188 unique ideals Mon Sep 16 00:01:22 2019 reduce to 56962873 relations and 49443136 ideals in 7 passes Mon Sep 16 00:01:22 2019 max relations containing the same ideal: 115 Mon Sep 16 00:01:43 2019 removing 6084418 relations and 4084418 ideals in 2000000 cliques Mon Sep 16 00:01:45 2019 commencing in-memory singleton removal Mon Sep 16 00:01:48 2019 begin with 50878455 relations and 49443136 unique ideals Mon Sep 16 00:02:14 2019 reduce to 50415748 relations and 44881623 ideals in 7 passes Mon Sep 16 00:02:14 2019 max relations containing the same ideal: 106 Mon Sep 16 00:02:33 2019 removing 6141652 relations and 4141652 ideals in 2000000 cliques Mon Sep 16 00:02:35 2019 commencing in-memory singleton removal Mon Sep 16 00:02:37 2019 begin with 44274096 relations and 44881623 unique ideals Mon Sep 16 00:02:59 2019 reduce to 43742772 relations and 40190277 ideals in 7 passes Mon Sep 16 00:02:59 2019 max relations containing the same ideal: 97 Mon Sep 16 00:03:15 2019 removing 6222390 relations and 4222390 ideals in 2000000 cliques Mon Sep 16 00:03:17 2019 commencing in-memory singleton removal Mon Sep 16 00:03:19 2019 begin with 37520382 relations and 40190277 unique ideals Mon Sep 16 00:03:40 2019 reduce to 36884334 relations and 35306972 ideals in 8 passes Mon Sep 16 00:03:40 2019 max relations containing the same ideal: 85 Mon Sep 16 00:03:54 2019 removing 2893820 relations and 2142420 ideals in 751400 cliques Mon Sep 16 00:03:55 2019 commencing in-memory singleton removal Mon Sep 16 00:03:57 2019 begin with 33990514 relations and 35306972 unique ideals Mon Sep 16 00:04:13 2019 reduce to 33822390 relations and 32993337 ideals in 7 passes Mon Sep 16 00:04:13 2019 max relations containing the same ideal: 82 Mon Sep 16 00:04:29 2019 relations with 0 large ideals: 57618 Mon Sep 16 00:04:29 2019 relations with 1 large ideals: 10831 Mon Sep 16 00:04:29 2019 relations with 2 large ideals: 129963 Mon Sep 16 00:04:29 2019 relations with 3 large ideals: 866665 Mon Sep 16 00:04:29 2019 relations with 4 large ideals: 3170054 Mon Sep 16 00:04:29 2019 relations with 5 large ideals: 8022424 Mon Sep 16 00:04:29 2019 relations with 6 large ideals: 8913515 Mon Sep 16 00:04:29 2019 relations with 7+ large ideals: 12651320 Mon Sep 16 00:04:29 2019 commencing 2-way merge Mon Sep 16 00:04:47 2019 reduce to 22947119 relation sets and 22118066 unique ideals Mon Sep 16 00:04:47 2019 commencing full merge Mon Sep 16 00:12:54 2019 memory use: 2818.2 MB Mon Sep 16 00:13:00 2019 found 10309622 cycles, need 10290266 Mon Sep 16 00:13:00 2019 weight of 10290266 cycles is about 1173159759 (114.01/cycle) Mon Sep 16 00:13:00 2019 distribution of cycle lengths: Mon Sep 16 00:13:00 2019 1 relations: 380604 Mon Sep 16 00:13:00 2019 2 relations: 567663 Mon Sep 16 00:13:00 2019 3 relations: 684232 Mon Sep 16 00:13:00 2019 4 relations: 717883 Mon Sep 16 00:13:00 2019 5 relations: 740720 Mon Sep 16 00:13:00 2019 6 relations: 737278 Mon Sep 16 00:13:00 2019 7 relations: 724760 Mon Sep 16 00:13:00 2019 8 relations: 700692 Mon Sep 16 00:13:00 2019 9 relations: 664294 Mon Sep 16 00:13:00 2019 10+ relations: 4372140 Mon Sep 16 00:13:00 2019 heaviest cycle: 28 relations Mon Sep 16 00:13:05 2019 commencing cycle optimization Mon Sep 16 00:13:29 2019 start with 95205633 relations Mon Sep 16 00:17:39 2019 pruned 4795273 relations Mon Sep 16 00:17:40 2019 memory use: 2389.6 MB Mon Sep 16 00:17:41 2019 distribution of cycle lengths: Mon Sep 16 00:17:41 2019 1 relations: 380604 Mon Sep 16 00:17:41 2019 2 relations: 581043 Mon Sep 16 00:17:41 2019 3 relations: 714515 Mon Sep 16 00:17:41 2019 4 relations: 750864 Mon Sep 16 00:17:41 2019 5 relations: 780995 Mon Sep 16 00:17:41 2019 6 relations: 777038 Mon Sep 16 00:17:41 2019 7 relations: 767557 Mon Sep 16 00:17:41 2019 8 relations: 738901 Mon Sep 16 00:17:41 2019 9 relations: 700718 Mon Sep 16 00:17:41 2019 10+ relations: 4098031 Mon Sep 16 00:17:41 2019 heaviest cycle: 28 relations Mon Sep 16 00:18:11 2019 RelProcTime: 5607 Mon Sep 16 00:18:11 2019 Mon Sep 16 00:18:11 2019 commencing linear algebra Mon Sep 16 00:18:13 2019 read 10290266 cycles Mon Sep 16 00:18:35 2019 cycles contain 33389822 unique relations Mon Sep 16 00:27:07 2019 read 33389822 relations Mon Sep 16 00:28:13 2019 using 20 quadratic characters above 4294917295 Mon Sep 16 00:30:05 2019 building initial matrix Mon Sep 16 00:35:14 2019 memory use: 4254.5 MB Mon Sep 16 00:37:12 2019 read 10290266 cycles Mon Sep 16 00:37:13 2019 matrix is 10290089 x 10290266 (4619.3 MB) with weight 1324002841 (128.67/col) Mon Sep 16 00:37:13 2019 sparse part has weight 1097725543 (106.68/col) Mon Sep 16 00:38:57 2019 filtering completed in 2 passes Mon Sep 16 00:39:00 2019 matrix is 10289986 x 10290163 (4619.3 MB) with weight 1323999515 (128.67/col) Mon Sep 16 00:39:00 2019 sparse part has weight 1097724557 (106.68/col) Mon Sep 16 00:41:13 2019 matrix starts at (0, 0) Mon Sep 16 00:41:14 2019 matrix is 10289986 x 10290163 (4619.3 MB) with weight 1323999515 (128.67/col) Mon Sep 16 00:41:14 2019 sparse part has weight 1097724557 (106.68/col) Mon Sep 16 00:41:14 2019 saving the first 48 matrix rows for later Mon Sep 16 00:41:16 2019 matrix includes 64 packed rows Mon Sep 16 00:41:17 2019 matrix is 10289938 x 10290163 (4424.2 MB) with weight 1134216365 (110.22/col) Mon Sep 16 00:41:17 2019 sparse part has weight 1056875541 (102.71/col) Mon Sep 16 00:41:17 2019 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB Mon Sep 16 00:42:02 2019 commencing Lanczos iteration (14 threads) Mon Sep 16 00:42:02 2019 memory use: 3766.6 MB Mon Sep 16 00:42:14 2019 linear algebra at 0.0%, ETA 20h42m Mon Sep 16 00:42:18 2019 checkpointing every 490000 dimensions Mon Sep 16 22:25:26 2019 lanczos halted after 162734 iterations (dim = 10289937) Mon Sep 16 22:25:34 2019 recovered 36 nontrivial dependencies Mon Sep 16 22:25:38 2019 BLanczosTime: 79647 Mon Sep 16 22:25:38 2019 Mon Sep 16 22:25:38 2019 commencing square root phase Mon Sep 16 22:25:38 2019 handling dependencies 1 to 64 Mon Sep 16 22:25:38 2019 reading relations for dependency 1 Mon Sep 16 22:25:47 2019 read 5143715 cycles Mon Sep 16 22:25:58 2019 cycles contain 16695278 unique relations Mon Sep 16 22:34:27 2019 read 16695278 relations Mon Sep 16 22:35:28 2019 multiplying 16695278 relations Mon Sep 16 22:39:59 2019 multiply complete, coefficients have about 428.48 million bits Mon Sep 16 22:40:00 2019 initial square root is modulo 48778003 Mon Sep 16 22:44:58 2019 sqrtTime: 1160 Mon Sep 16 22:45:00 2019 p73 factor: 4521427647447423556026169230195935970159851527770192257425464928419649351 Mon Sep 16 22:45:00 2019 p146 factor: 39351717221778266751367182261284102453768675750006332965781871345149677929983786143646262013167047902298535422924597773629716798090367826916816951 Mon Sep 16 22:45:00 2019 elapsed time 24:00:18