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Sun Apr 01 14:50:33 2018 Sun Apr 01 14:50:33 2018 Sun Apr 01 14:50:33 2018 Msieve v. 1.54 (SVN 1018) Sun Apr 01 14:50:33 2018 random seeds: ca47d1f8 28d7c92f Sun Apr 01 14:50:33 2018 factoring 16578452467011585329221035518278114401146464395198569113442878333169232298949210235447660721329465773986803340478088615679494392467014257553003166535662501623628285087306308041878848741645011 (191 digits) Sun Apr 01 14:50:33 2018 searching for 15-digit factors Sun Apr 01 14:50:34 2018 commencing number field sieve (191-digit input) Sun Apr 01 14:50:34 2018 R0: 27945714132675033142899109225439212386442031501005140283 Sun Apr 01 14:50:34 2018 R1: -1 Sun Apr 01 14:50:34 2018 A0: 1 Sun Apr 01 14:50:34 2018 A1: 1 Sun Apr 01 14:50:34 2018 A2: 1 Sun Apr 01 14:50:34 2018 A3: 1 Sun Apr 01 14:50:34 2018 A4: 1 Sun Apr 01 14:50:34 2018 skew 1.00, size 1.357e-022, alpha 1.694, combined = 1.790e-013 rroots = 0 Sun Apr 01 14:50:34 2018 Sun Apr 01 14:50:34 2018 commencing relation filtering Sun Apr 01 14:50:34 2018 setting target matrix density to 120.0 Sun Apr 01 14:50:34 2018 estimated available RAM is 32715.2 MB Sun Apr 01 14:50:34 2018 commencing duplicate removal, pass 1 <errors reading relations> Sun Apr 01 15:23:28 2018 skipped 630 relations with b > 2^32 Sun Apr 01 15:23:28 2018 skipped 13335 relations with composite factors Sun Apr 01 15:23:28 2018 found 49686475 hash collisions in 224004197 relations Sun Apr 01 15:23:39 2018 added 3657740 free relations Sun Apr 01 15:23:39 2018 commencing duplicate removal, pass 2 Sun Apr 01 15:26:08 2018 found 54269723 duplicates and 173392214 unique relations Sun Apr 01 15:26:08 2018 memory use: 1321.5 MB Sun Apr 01 15:26:08 2018 reading ideals above 159973376 Sun Apr 01 15:26:08 2018 commencing singleton removal, initial pass Sun Apr 01 15:45:36 2018 memory use: 3012.0 MB Sun Apr 01 15:45:37 2018 reading all ideals from disk Sun Apr 01 15:45:39 2018 memory use: 3075.9 MB Sun Apr 01 15:45:52 2018 commencing in-memory singleton removal Sun Apr 01 15:46:04 2018 begin with 173392214 relations and 151385202 unique ideals Sun Apr 01 15:48:08 2018 reduce to 103917288 relations and 73850639 ideals in 15 passes Sun Apr 01 15:48:08 2018 max relations containing the same ideal: 34 Sun Apr 01 15:48:20 2018 reading ideals above 720000 Sun Apr 01 15:48:20 2018 commencing singleton removal, initial pass Sun Apr 01 16:03:26 2018 memory use: 2756.0 MB Sun Apr 01 16:03:26 2018 reading all ideals from disk Sun Apr 01 16:03:29 2018 memory use: 4063.1 MB Sun Apr 01 16:03:45 2018 keeping 91293457 ideals with weight <= 200, target excess is 502994 Sun Apr 01 16:04:01 2018 commencing in-memory singleton removal Sun Apr 01 16:04:14 2018 begin with 103917288 relations and 91293457 unique ideals Sun Apr 01 16:06:09 2018 reduce to 103890448 relations and 91266325 ideals in 9 passes Sun Apr 01 16:06:09 2018 max relations containing the same ideal: 200 Sun Apr 01 16:07:13 2018 removing 11990657 relations and 9990657 ideals in 2000000 cliques Sun Apr 01 16:07:17 2018 commencing in-memory singleton removal Sun Apr 01 16:07:29 2018 begin with 91899791 relations and 91266325 unique ideals Sun Apr 01 16:09:09 2018 reduce to 90712837 relations and 80058036 ideals in 9 passes Sun Apr 01 16:09:09 2018 max relations containing the same ideal: 191 Sun Apr 01 16:10:06 2018 removing 9198542 relations and 7198542 ideals in 2000000 cliques Sun Apr 01 16:10:09 2018 commencing in-memory singleton removal Sun Apr 01 16:10:18 2018 begin with 81514295 relations and 80058036 unique ideals Sun Apr 01 16:11:44 2018 reduce to 80698138 relations and 72024267 ideals in 9 passes Sun Apr 01 16:11:44 2018 max relations containing the same ideal: 182 Sun Apr 01 16:12:33 2018 removing 8385467 relations and 6385467 ideals in 2000000 cliques Sun Apr 01 16:12:36 2018 commencing in-memory singleton removal Sun Apr 01 16:12:43 2018 begin with 72312671 relations and 72024267 unique ideals Sun Apr 01 16:14:02 2018 reduce to 71543203 relations and 64850712 ideals in 10 passes Sun Apr 01 16:14:02 2018 max relations containing the same ideal: 164 Sun Apr 01 16:14:45 2018 removing 8031499 relations and 6031499 ideals in 2000000 cliques Sun Apr 01 16:14:48 2018 commencing in-memory singleton removal Sun Apr 01 16:14:54 2018 begin with 63511704 relations and 64850712 unique ideals Sun Apr 01 16:15:47 2018 reduce to 62721916 relations and 58008522 ideals in 8 passes Sun Apr 01 16:15:47 2018 max relations containing the same ideal: 153 Sun Apr 01 16:16:24 2018 removing 7873076 relations and 5873076 ideals in 2000000 cliques Sun Apr 01 16:16:26 2018 commencing in-memory singleton removal Sun Apr 01 16:16:32 2018 begin with 54848840 relations and 58008522 unique ideals Sun Apr 01 16:17:26 2018 reduce to 53978135 relations and 51239291 ideals in 10 passes Sun Apr 01 16:17:26 2018 max relations containing the same ideal: 139 Sun Apr 01 16:17:58 2018 removing 7838762 relations and 5838762 ideals in 2000000 cliques Sun Apr 01 16:18:00 2018 commencing in-memory singleton removal Sun Apr 01 16:18:05 2018 begin with 46139373 relations and 51239291 unique ideals Sun Apr 01 16:18:39 2018 reduce to 45133766 relations and 44360384 ideals in 8 passes Sun Apr 01 16:18:39 2018 max relations containing the same ideal: 126 Sun Apr 01 16:19:05 2018 removing 1245386 relations and 1055478 ideals in 189908 cliques Sun Apr 01 16:19:06 2018 commencing in-memory singleton removal Sun Apr 01 16:19:10 2018 begin with 43888380 relations and 44360384 unique ideals Sun Apr 01 16:19:37 2018 reduce to 43863861 relations and 43280270 ideals in 7 passes Sun Apr 01 16:19:37 2018 max relations containing the same ideal: 125 Sun Apr 01 16:20:09 2018 relations with 0 large ideals: 40546 Sun Apr 01 16:20:09 2018 relations with 1 large ideals: 4676 Sun Apr 01 16:20:09 2018 relations with 2 large ideals: 54761 Sun Apr 01 16:20:09 2018 relations with 3 large ideals: 454600 Sun Apr 01 16:20:09 2018 relations with 4 large ideals: 2149171 Sun Apr 01 16:20:09 2018 relations with 5 large ideals: 7808989 Sun Apr 01 16:20:09 2018 relations with 6 large ideals: 10384936 Sun Apr 01 16:20:09 2018 relations with 7+ large ideals: 22966182 Sun Apr 01 16:20:09 2018 commencing 2-way merge Sun Apr 01 16:20:45 2018 reduce to 28244235 relation sets and 27660644 unique ideals Sun Apr 01 16:20:45 2018 commencing full merge Sun Apr 01 16:52:21 2018 memory use: 1279.1 MB Sun Apr 01 16:52:24 2018 found 161662 cycles, need 5926694 Sun Apr 01 16:52:24 2018 too few cycles, matrix probably cannot build Sun Apr 01 19:55:57 2018 Sun Apr 01 19:55:57 2018 Sun Apr 01 19:55:57 2018 Msieve v. 1.54 (SVN 1018) Sun Apr 01 19:55:57 2018 random seeds: 7edeb1c0 5417f71c Sun Apr 01 19:55:57 2018 factoring 16578452467011585329221035518278114401146464395198569113442878333169232298949210235447660721329465773986803340478088615679494392467014257553003166535662501623628285087306308041878848741645011 (191 digits) Sun Apr 01 19:55:57 2018 searching for 15-digit factors Sun Apr 01 19:55:58 2018 commencing number field sieve (191-digit input) Sun Apr 01 19:55:58 2018 R0: 27945714132675033142899109225439212386442031501005140283 Sun Apr 01 19:55:58 2018 R1: -1 Sun Apr 01 19:55:58 2018 A0: 1 Sun Apr 01 19:55:58 2018 A1: 1 Sun Apr 01 19:55:58 2018 A2: 1 Sun Apr 01 19:55:58 2018 A3: 1 Sun Apr 01 19:55:58 2018 A4: 1 Sun Apr 01 19:55:58 2018 skew 1.00, size 1.357e-022, alpha 1.694, combined = 1.790e-013 rroots = 0 Sun Apr 01 19:55:58 2018 Sun Apr 01 19:55:58 2018 commencing relation filtering Sun Apr 01 19:55:58 2018 setting target matrix density to 110.0 Sun Apr 01 19:55:58 2018 estimated available RAM is 32715.2 MB Sun Apr 01 19:55:58 2018 commencing duplicate removal, pass 1 <errors reading relations> Sun Apr 01 20:29:51 2018 skipped 630 relations with b > 2^32 Sun Apr 01 20:29:51 2018 skipped 13335 relations with composite factors Sun Apr 01 20:29:51 2018 found 49898355 hash collisions in 227661937 relations Sun Apr 01 20:29:51 2018 commencing duplicate removal, pass 2 Sun Apr 01 20:32:20 2018 found 54269723 duplicates and 173392214 unique relations Sun Apr 01 20:32:20 2018 memory use: 1321.5 MB Sun Apr 01 20:32:20 2018 reading ideals above 159973376 Sun Apr 01 20:32:20 2018 commencing singleton removal, initial pass Sun Apr 01 20:51:49 2018 memory use: 3012.0 MB Sun Apr 01 20:51:49 2018 reading all ideals from disk Sun Apr 01 20:51:51 2018 memory use: 3075.9 MB Sun Apr 01 20:52:04 2018 commencing in-memory singleton removal Sun Apr 01 20:52:16 2018 begin with 173392214 relations and 151385202 unique ideals Sun Apr 01 20:54:19 2018 reduce to 103917288 relations and 73850639 ideals in 15 passes Sun Apr 01 20:54:19 2018 max relations containing the same ideal: 34 Sun Apr 01 20:54:30 2018 reading ideals above 720000 Sun Apr 01 20:54:31 2018 commencing singleton removal, initial pass Sun Apr 01 21:09:37 2018 memory use: 2756.0 MB Sun Apr 01 21:09:37 2018 reading all ideals from disk Sun Apr 01 21:09:40 2018 memory use: 4063.1 MB Sun Apr 01 21:09:56 2018 keeping 91293457 ideals with weight <= 200, target excess is 502994 Sun Apr 01 21:10:12 2018 commencing in-memory singleton removal Sun Apr 01 21:10:25 2018 begin with 103917288 relations and 91293457 unique ideals Sun Apr 01 21:12:21 2018 reduce to 103890448 relations and 91266325 ideals in 9 passes Sun Apr 01 21:12:21 2018 max relations containing the same ideal: 200 Sun Apr 01 21:13:26 2018 removing 11990657 relations and 9990657 ideals in 2000000 cliques Sun Apr 01 21:13:30 2018 commencing in-memory singleton removal Sun Apr 01 21:13:40 2018 begin with 91899791 relations and 91266325 unique ideals Sun Apr 01 21:15:19 2018 reduce to 90712837 relations and 80058036 ideals in 9 passes Sun Apr 01 21:15:19 2018 max relations containing the same ideal: 191 Sun Apr 01 21:16:14 2018 removing 9198542 relations and 7198542 ideals in 2000000 cliques Sun Apr 01 21:16:18 2018 commencing in-memory singleton removal Sun Apr 01 21:16:27 2018 begin with 81514295 relations and 80058036 unique ideals Sun Apr 01 21:17:50 2018 reduce to 80698138 relations and 72024267 ideals in 9 passes Sun Apr 01 21:17:50 2018 max relations containing the same ideal: 182 Sun Apr 01 21:18:39 2018 removing 8385467 relations and 6385467 ideals in 2000000 cliques Sun Apr 01 21:18:42 2018 commencing in-memory singleton removal Sun Apr 01 21:18:50 2018 begin with 72312671 relations and 72024267 unique ideals Sun Apr 01 21:20:08 2018 reduce to 71543203 relations and 64850712 ideals in 10 passes Sun Apr 01 21:20:08 2018 max relations containing the same ideal: 164 Sun Apr 01 21:20:51 2018 removing 8031499 relations and 6031499 ideals in 2000000 cliques Sun Apr 01 21:20:54 2018 commencing in-memory singleton removal Sun Apr 01 21:21:00 2018 begin with 63511704 relations and 64850712 unique ideals Sun Apr 01 21:21:52 2018 reduce to 62721916 relations and 58008522 ideals in 8 passes Sun Apr 01 21:21:52 2018 max relations containing the same ideal: 153 Sun Apr 01 21:22:29 2018 removing 7873076 relations and 5873076 ideals in 2000000 cliques Sun Apr 01 21:22:32 2018 commencing in-memory singleton removal Sun Apr 01 21:22:37 2018 begin with 54848840 relations and 58008522 unique ideals Sun Apr 01 21:23:31 2018 reduce to 53978135 relations and 51239291 ideals in 10 passes Sun Apr 01 21:23:31 2018 max relations containing the same ideal: 139 Sun Apr 01 21:24:03 2018 removing 7838762 relations and 5838762 ideals in 2000000 cliques Sun Apr 01 21:24:05 2018 commencing in-memory singleton removal Sun Apr 01 21:24:10 2018 begin with 46139373 relations and 51239291 unique ideals Sun Apr 01 21:24:44 2018 reduce to 45133766 relations and 44360384 ideals in 8 passes Sun Apr 01 21:24:44 2018 max relations containing the same ideal: 126 Sun Apr 01 21:25:11 2018 removing 1245386 relations and 1055478 ideals in 189908 cliques Sun Apr 01 21:25:13 2018 commencing in-memory singleton removal Sun Apr 01 21:25:17 2018 begin with 43888380 relations and 44360384 unique ideals Sun Apr 01 21:25:45 2018 reduce to 43863861 relations and 43280270 ideals in 7 passes Sun Apr 01 21:25:45 2018 max relations containing the same ideal: 125 Sun Apr 01 21:26:17 2018 relations with 0 large ideals: 40546 Sun Apr 01 21:26:17 2018 relations with 1 large ideals: 4676 Sun Apr 01 21:26:17 2018 relations with 2 large ideals: 54761 Sun Apr 01 21:26:17 2018 relations with 3 large ideals: 454600 Sun Apr 01 21:26:17 2018 relations with 4 large ideals: 2149171 Sun Apr 01 21:26:17 2018 relations with 5 large ideals: 7808989 Sun Apr 01 21:26:17 2018 relations with 6 large ideals: 10384936 Sun Apr 01 21:26:17 2018 relations with 7+ large ideals: 22966182 Sun Apr 01 21:26:17 2018 commencing 2-way merge Sun Apr 01 21:26:53 2018 reduce to 28244235 relation sets and 27660644 unique ideals Sun Apr 01 21:26:53 2018 commencing full merge Sun Apr 01 21:59:04 2018 memory use: 1279.1 MB Sun Apr 01 21:59:07 2018 found 161662 cycles, need 5926694 Sun Apr 01 21:59:07 2018 too few cycles, matrix probably cannot build Mon Apr 02 00:18:57 2018 Mon Apr 02 00:18:57 2018 Mon Apr 02 00:18:57 2018 Msieve v. 1.54 (SVN 1018) Mon Apr 02 00:18:57 2018 random seeds: 2a1af720 02913008 Mon Apr 02 00:18:57 2018 factoring 16578452467011585329221035518278114401146464395198569113442878333169232298949210235447660721329465773986803340478088615679494392467014257553003166535662501623628285087306308041878848741645011 (191 digits) Mon Apr 02 00:18:58 2018 searching for 15-digit factors Mon Apr 02 00:18:59 2018 commencing number field sieve (191-digit input) Mon Apr 02 00:18:59 2018 R0: 27945714132675033142899109225439212386442031501005140283 Mon Apr 02 00:18:59 2018 R1: -1 Mon Apr 02 00:18:59 2018 A0: 1 Mon Apr 02 00:18:59 2018 A1: 1 Mon Apr 02 00:18:59 2018 A2: 1 Mon Apr 02 00:18:59 2018 A3: 1 Mon Apr 02 00:18:59 2018 A4: 1 Mon Apr 02 00:18:59 2018 skew 1.00, size 1.357e-022, alpha 1.694, combined = 1.790e-013 rroots = 0 Mon Apr 02 00:18:59 2018 Mon Apr 02 00:18:59 2018 commencing relation filtering Mon Apr 02 00:18:59 2018 setting target matrix density to 90.0 Mon Apr 02 00:18:59 2018 estimated available RAM is 32715.2 MB Mon Apr 02 00:18:59 2018 commencing duplicate removal, pass 1 <errors reading relations> Mon Apr 02 00:52:54 2018 skipped 630 relations with b > 2^32 Mon Apr 02 00:52:54 2018 skipped 13335 relations with composite factors Mon Apr 02 00:52:54 2018 found 49898355 hash collisions in 227661937 relations Mon Apr 02 00:52:54 2018 commencing duplicate removal, pass 2 Mon Apr 02 00:55:23 2018 found 54269723 duplicates and 173392214 unique relations Mon Apr 02 00:55:23 2018 memory use: 1321.5 MB Mon Apr 02 00:55:23 2018 reading ideals above 159973376 Mon Apr 02 00:55:23 2018 commencing singleton removal, initial pass Mon Apr 02 01:14:51 2018 memory use: 3012.0 MB Mon Apr 02 01:14:51 2018 reading all ideals from disk Mon Apr 02 01:14:53 2018 memory use: 3075.9 MB Mon Apr 02 01:15:06 2018 commencing in-memory singleton removal Mon Apr 02 01:15:18 2018 begin with 173392214 relations and 151385202 unique ideals Mon Apr 02 01:17:16 2018 reduce to 103917288 relations and 73850639 ideals in 15 passes Mon Apr 02 01:17:16 2018 max relations containing the same ideal: 34 Mon Apr 02 01:17:27 2018 reading ideals above 720000 Mon Apr 02 01:17:27 2018 commencing singleton removal, initial pass Mon Apr 02 01:32:34 2018 memory use: 2756.0 MB Mon Apr 02 01:32:34 2018 reading all ideals from disk Mon Apr 02 01:32:37 2018 memory use: 4063.1 MB Mon Apr 02 01:32:53 2018 keeping 91293457 ideals with weight <= 200, target excess is 502994 Mon Apr 02 01:33:10 2018 commencing in-memory singleton removal Mon Apr 02 01:33:23 2018 begin with 103917288 relations and 91293457 unique ideals Mon Apr 02 01:35:21 2018 reduce to 103890448 relations and 91266325 ideals in 9 passes Mon Apr 02 01:35:21 2018 max relations containing the same ideal: 200 Mon Apr 02 01:36:27 2018 removing 11990657 relations and 9990657 ideals in 2000000 cliques Mon Apr 02 01:36:31 2018 commencing in-memory singleton removal Mon Apr 02 01:36:42 2018 begin with 91899791 relations and 91266325 unique ideals Mon Apr 02 01:38:25 2018 reduce to 90712837 relations and 80058036 ideals in 9 passes Mon Apr 02 01:38:25 2018 max relations containing the same ideal: 191 Mon Apr 02 01:39:22 2018 removing 9198542 relations and 7198542 ideals in 2000000 cliques Mon Apr 02 01:39:25 2018 commencing in-memory singleton removal Mon Apr 02 01:39:34 2018 begin with 81514295 relations and 80058036 unique ideals Mon Apr 02 01:40:59 2018 reduce to 80698138 relations and 72024267 ideals in 9 passes Mon Apr 02 01:40:59 2018 max relations containing the same ideal: 182 Mon Apr 02 01:41:47 2018 removing 8385467 relations and 6385467 ideals in 2000000 cliques Mon Apr 02 01:41:50 2018 commencing in-memory singleton removal Mon Apr 02 01:41:57 2018 begin with 72312671 relations and 72024267 unique ideals Mon Apr 02 01:43:16 2018 reduce to 71543203 relations and 64850712 ideals in 10 passes Mon Apr 02 01:43:16 2018 max relations containing the same ideal: 164 Mon Apr 02 01:43:59 2018 removing 8031499 relations and 6031499 ideals in 2000000 cliques Mon Apr 02 01:44:02 2018 commencing in-memory singleton removal Mon Apr 02 01:44:09 2018 begin with 63511704 relations and 64850712 unique ideals Mon Apr 02 01:45:01 2018 reduce to 62721916 relations and 58008522 ideals in 8 passes Mon Apr 02 01:45:01 2018 max relations containing the same ideal: 153 Mon Apr 02 01:45:39 2018 removing 7873076 relations and 5873076 ideals in 2000000 cliques Mon Apr 02 01:45:41 2018 commencing in-memory singleton removal Mon Apr 02 01:45:47 2018 begin with 54848840 relations and 58008522 unique ideals Mon Apr 02 01:46:40 2018 reduce to 53978135 relations and 51239291 ideals in 10 passes Mon Apr 02 01:46:40 2018 max relations containing the same ideal: 139 Mon Apr 02 01:47:12 2018 removing 7838762 relations and 5838762 ideals in 2000000 cliques Mon Apr 02 01:47:15 2018 commencing in-memory singleton removal Mon Apr 02 01:47:19 2018 begin with 46139373 relations and 51239291 unique ideals Mon Apr 02 01:47:54 2018 reduce to 45133766 relations and 44360384 ideals in 8 passes Mon Apr 02 01:47:54 2018 max relations containing the same ideal: 126 Mon Apr 02 01:48:21 2018 removing 1245386 relations and 1055478 ideals in 189908 cliques Mon Apr 02 01:48:22 2018 commencing in-memory singleton removal Mon Apr 02 01:48:26 2018 begin with 43888380 relations and 44360384 unique ideals Mon Apr 02 01:48:54 2018 reduce to 43863861 relations and 43280270 ideals in 7 passes Mon Apr 02 01:48:54 2018 max relations containing the same ideal: 125 Mon Apr 02 01:49:27 2018 relations with 0 large ideals: 40546 Mon Apr 02 01:49:27 2018 relations with 1 large ideals: 4676 Mon Apr 02 01:49:27 2018 relations with 2 large ideals: 54761 Mon Apr 02 01:49:27 2018 relations with 3 large ideals: 454600 Mon Apr 02 01:49:27 2018 relations with 4 large ideals: 2149171 Mon Apr 02 01:49:27 2018 relations with 5 large ideals: 7808989 Mon Apr 02 01:49:27 2018 relations with 6 large ideals: 10384936 Mon Apr 02 01:49:27 2018 relations with 7+ large ideals: 22966182 Mon Apr 02 01:49:27 2018 commencing 2-way merge Mon Apr 02 01:50:04 2018 reduce to 28244235 relation sets and 27660644 unique ideals Mon Apr 02 01:50:04 2018 commencing full merge Mon Apr 02 02:04:04 2018 memory use: 3470.3 MB Mon Apr 02 02:04:12 2018 found 13477781 cycles, need 13432844 Mon Apr 02 02:04:13 2018 weight of 13432844 cycles is about 1209078925 (90.01/cycle) Mon Apr 02 02:04:13 2018 distribution of cycle lengths: Mon Apr 02 02:04:13 2018 1 relations: 1250634 Mon Apr 02 02:04:13 2018 2 relations: 1247231 Mon Apr 02 02:04:13 2018 3 relations: 1202456 Mon Apr 02 02:04:13 2018 4 relations: 1129347 Mon Apr 02 02:04:13 2018 5 relations: 1075468 Mon Apr 02 02:04:13 2018 6 relations: 1003099 Mon Apr 02 02:04:13 2018 7 relations: 929729 Mon Apr 02 02:04:13 2018 8 relations: 848421 Mon Apr 02 02:04:13 2018 9 relations: 762342 Mon Apr 02 02:04:13 2018 10+ relations: 3984117 Mon Apr 02 02:04:13 2018 heaviest cycle: 28 relations Mon Apr 02 02:04:35 2018 commencing cycle optimization Mon Apr 02 02:05:01 2018 start with 98791975 relations Mon Apr 02 02:09:51 2018 pruned 3455712 relations Mon Apr 02 02:09:51 2018 memory use: 2826.3 MB Mon Apr 02 02:09:51 2018 distribution of cycle lengths: Mon Apr 02 02:09:51 2018 1 relations: 1250634 Mon Apr 02 02:09:51 2018 2 relations: 1270486 Mon Apr 02 02:09:51 2018 3 relations: 1246475 Mon Apr 02 02:09:51 2018 4 relations: 1166925 Mon Apr 02 02:09:51 2018 5 relations: 1116640 Mon Apr 02 02:09:51 2018 6 relations: 1036292 Mon Apr 02 02:09:51 2018 7 relations: 959530 Mon Apr 02 02:09:51 2018 8 relations: 870284 Mon Apr 02 02:09:51 2018 9 relations: 779563 Mon Apr 02 02:09:51 2018 10+ relations: 3736015 Mon Apr 02 02:09:51 2018 heaviest cycle: 28 relations Mon Apr 02 02:10:31 2018 RelProcTime: 6692 Mon Apr 02 02:10:31 2018 elapsed time 01:51:34 Mon Apr 02 03:38:24 2018 Mon Apr 02 03:38:24 2018 Mon Apr 02 03:38:24 2018 Msieve v. 1.54 (SVN 1018) Mon Apr 02 03:38:24 2018 random seeds: 540ce110 d259601c Mon Apr 02 03:38:24 2018 factoring 16578452467011585329221035518278114401146464395198569113442878333169232298949210235447660721329465773986803340478088615679494392467014257553003166535662501623628285087306308041878848741645011 (191 digits) Mon Apr 02 03:38:25 2018 searching for 15-digit factors Mon Apr 02 03:38:25 2018 commencing number field sieve (191-digit input) Mon Apr 02 03:38:25 2018 R0: 27945714132675033142899109225439212386442031501005140283 Mon Apr 02 03:38:25 2018 R1: -1 Mon Apr 02 03:38:25 2018 A0: 1 Mon Apr 02 03:38:25 2018 A1: 1 Mon Apr 02 03:38:25 2018 A2: 1 Mon Apr 02 03:38:25 2018 A3: 1 Mon Apr 02 03:38:25 2018 A4: 1 Mon Apr 02 03:38:25 2018 skew 1.00, size 1.357e-022, alpha 1.694, combined = 1.790e-013 rroots = 0 Mon Apr 02 03:38:25 2018 Mon Apr 02 03:38:25 2018 commencing relation filtering Mon Apr 02 03:38:25 2018 setting target matrix density to 100.0 Mon Apr 02 03:38:25 2018 estimated available RAM is 32715.2 MB Mon Apr 02 03:38:25 2018 commencing duplicate removal, pass 1 <errors reading relations> Mon Apr 02 04:12:24 2018 skipped 630 relations with b > 2^32 Mon Apr 02 04:12:24 2018 skipped 13335 relations with composite factors Mon Apr 02 04:12:24 2018 found 49898355 hash collisions in 227661937 relations Mon Apr 02 04:12:24 2018 commencing duplicate removal, pass 2 Mon Apr 02 04:14:52 2018 found 54269723 duplicates and 173392214 unique relations Mon Apr 02 04:14:52 2018 memory use: 1321.5 MB Mon Apr 02 04:14:52 2018 reading ideals above 159973376 Mon Apr 02 04:14:52 2018 commencing singleton removal, initial pass Mon Apr 02 04:34:20 2018 memory use: 3012.0 MB Mon Apr 02 04:34:20 2018 reading all ideals from disk Mon Apr 02 04:34:22 2018 memory use: 3075.9 MB Mon Apr 02 04:34:35 2018 commencing in-memory singleton removal Mon Apr 02 04:34:47 2018 begin with 173392214 relations and 151385202 unique ideals Mon Apr 02 04:36:44 2018 reduce to 103917288 relations and 73850639 ideals in 15 passes Mon Apr 02 04:36:44 2018 max relations containing the same ideal: 34 Mon Apr 02 04:36:54 2018 reading ideals above 720000 Mon Apr 02 04:36:54 2018 commencing singleton removal, initial pass Mon Apr 02 04:51:58 2018 memory use: 2756.0 MB Mon Apr 02 04:51:58 2018 reading all ideals from disk Mon Apr 02 04:52:01 2018 memory use: 4063.1 MB Mon Apr 02 04:52:18 2018 keeping 91293457 ideals with weight <= 200, target excess is 502994 Mon Apr 02 04:52:35 2018 commencing in-memory singleton removal Mon Apr 02 04:52:48 2018 begin with 103917288 relations and 91293457 unique ideals Mon Apr 02 04:54:46 2018 reduce to 103890448 relations and 91266325 ideals in 9 passes Mon Apr 02 04:54:46 2018 max relations containing the same ideal: 200 Mon Apr 02 04:55:53 2018 removing 11990657 relations and 9990657 ideals in 2000000 cliques Mon Apr 02 04:55:57 2018 commencing in-memory singleton removal Mon Apr 02 04:56:08 2018 begin with 91899791 relations and 91266325 unique ideals Mon Apr 02 04:57:52 2018 reduce to 90712837 relations and 80058036 ideals in 9 passes Mon Apr 02 04:57:52 2018 max relations containing the same ideal: 191 Mon Apr 02 04:58:49 2018 removing 9198542 relations and 7198542 ideals in 2000000 cliques Mon Apr 02 04:58:53 2018 commencing in-memory singleton removal Mon Apr 02 04:59:02 2018 begin with 81514295 relations and 80058036 unique ideals Mon Apr 02 05:00:26 2018 reduce to 80698138 relations and 72024267 ideals in 9 passes Mon Apr 02 05:00:26 2018 max relations containing the same ideal: 182 Mon Apr 02 05:01:15 2018 removing 8385467 relations and 6385467 ideals in 2000000 cliques Mon Apr 02 05:01:18 2018 commencing in-memory singleton removal Mon Apr 02 05:01:26 2018 begin with 72312671 relations and 72024267 unique ideals Mon Apr 02 05:02:45 2018 reduce to 71543203 relations and 64850712 ideals in 10 passes Mon Apr 02 05:02:45 2018 max relations containing the same ideal: 164 Mon Apr 02 05:03:26 2018 removing 8031499 relations and 6031499 ideals in 2000000 cliques Mon Apr 02 05:03:28 2018 commencing in-memory singleton removal Mon Apr 02 05:03:35 2018 begin with 63511704 relations and 64850712 unique ideals Mon Apr 02 05:04:27 2018 reduce to 62721916 relations and 58008522 ideals in 8 passes Mon Apr 02 05:04:27 2018 max relations containing the same ideal: 153 Mon Apr 02 05:05:04 2018 removing 7873076 relations and 5873076 ideals in 2000000 cliques Mon Apr 02 05:05:07 2018 commencing in-memory singleton removal Mon Apr 02 05:05:12 2018 begin with 54848840 relations and 58008522 unique ideals Mon Apr 02 05:06:05 2018 reduce to 53978135 relations and 51239291 ideals in 10 passes Mon Apr 02 05:06:05 2018 max relations containing the same ideal: 139 Mon Apr 02 05:06:37 2018 removing 7838762 relations and 5838762 ideals in 2000000 cliques Mon Apr 02 05:06:40 2018 commencing in-memory singleton removal Mon Apr 02 05:06:44 2018 begin with 46139373 relations and 51239291 unique ideals Mon Apr 02 05:07:18 2018 reduce to 45133766 relations and 44360384 ideals in 8 passes Mon Apr 02 05:07:18 2018 max relations containing the same ideal: 126 Mon Apr 02 05:07:45 2018 removing 1245386 relations and 1055478 ideals in 189908 cliques Mon Apr 02 05:07:46 2018 commencing in-memory singleton removal Mon Apr 02 05:07:50 2018 begin with 43888380 relations and 44360384 unique ideals Mon Apr 02 05:08:19 2018 reduce to 43863861 relations and 43280270 ideals in 7 passes Mon Apr 02 05:08:19 2018 max relations containing the same ideal: 125 Mon Apr 02 05:08:52 2018 relations with 0 large ideals: 40546 Mon Apr 02 05:08:52 2018 relations with 1 large ideals: 4676 Mon Apr 02 05:08:52 2018 relations with 2 large ideals: 54761 Mon Apr 02 05:08:52 2018 relations with 3 large ideals: 454600 Mon Apr 02 05:08:52 2018 relations with 4 large ideals: 2149171 Mon Apr 02 05:08:52 2018 relations with 5 large ideals: 7808989 Mon Apr 02 05:08:52 2018 relations with 6 large ideals: 10384936 Mon Apr 02 05:08:52 2018 relations with 7+ large ideals: 22966182 Mon Apr 02 05:08:52 2018 commencing 2-way merge Mon Apr 02 05:09:28 2018 reduce to 28244235 relation sets and 27660644 unique ideals Mon Apr 02 05:09:28 2018 commencing full merge Mon Apr 02 05:40:45 2018 memory use: 1279.1 MB Mon Apr 02 05:40:48 2018 found 161662 cycles, need 5926694 Mon Apr 02 05:40:48 2018 too few cycles, matrix probably cannot build Mon Apr 02 12:35:13 2018 Mon Apr 02 12:35:13 2018 Mon Apr 02 12:35:13 2018 Msieve v. 1.54 (SVN 1018) Mon Apr 02 12:35:13 2018 random seeds: 896a3e98 65747e70 Mon Apr 02 12:35:13 2018 factoring 16578452467011585329221035518278114401146464395198569113442878333169232298949210235447660721329465773986803340478088615679494392467014257553003166535662501623628285087306308041878848741645011 (191 digits) Mon Apr 02 12:35:14 2018 searching for 15-digit factors Mon Apr 02 12:35:14 2018 commencing number field sieve (191-digit input) Mon Apr 02 12:35:14 2018 R0: 27945714132675033142899109225439212386442031501005140283 Mon Apr 02 12:35:14 2018 R1: -1 Mon Apr 02 12:35:14 2018 A0: 1 Mon Apr 02 12:35:14 2018 A1: 1 Mon Apr 02 12:35:14 2018 A2: 1 Mon Apr 02 12:35:14 2018 A3: 1 Mon Apr 02 12:35:14 2018 A4: 1 Mon Apr 02 12:35:14 2018 skew 1.00, size 1.357e-022, alpha 1.694, combined = 1.790e-013 rroots = 0 Mon Apr 02 12:35:14 2018 Mon Apr 02 12:35:14 2018 commencing linear algebra Mon Apr 02 12:35:17 2018 read 13432844 cycles Mon Apr 02 12:35:49 2018 cycles contain 43474664 unique relations Mon Apr 02 12:40:31 2018 read 43474664 relations Mon Apr 02 12:42:09 2018 using 20 quadratic characters above 4294917295 Mon Apr 02 12:45:09 2018 building initial matrix Mon Apr 02 12:53:42 2018 memory use: 5319.7 MB Mon Apr 02 12:53:56 2018 read 13432844 cycles Mon Apr 02 12:53:58 2018 matrix is 13432667 x 13432844 (4969.0 MB) with weight 1430013614 (106.46/col) Mon Apr 02 12:53:58 2018 sparse part has weight 1154838129 (85.97/col) Mon Apr 02 12:57:22 2018 filtering completed in 2 passes Mon Apr 02 12:57:25 2018 matrix is 13431493 x 13431670 (4968.9 MB) with weight 1429978247 (106.46/col) Mon Apr 02 12:57:25 2018 sparse part has weight 1154827501 (85.98/col) Mon Apr 02 12:58:13 2018 matrix starts at (0, 0) Mon Apr 02 12:58:15 2018 matrix is 13431493 x 13431670 (4968.9 MB) with weight 1429978247 (106.46/col) Mon Apr 02 12:58:15 2018 sparse part has weight 1154827501 (85.98/col) Mon Apr 02 12:58:15 2018 saving the first 48 matrix rows for later Mon Apr 02 12:58:20 2018 matrix includes 64 packed rows Mon Apr 02 12:58:22 2018 matrix is 13431445 x 13431670 (4753.8 MB) with weight 1194707319 (88.95/col) Mon Apr 02 12:58:22 2018 sparse part has weight 1111856166 (82.78/col) Mon Apr 02 12:58:22 2018 using block size 8192 and superblock size 786432 for processor cache size 8192 kB Mon Apr 02 12:59:33 2018 commencing Lanczos iteration (4 threads) Mon Apr 02 12:59:33 2018 memory use: 4028.9 MB Mon Apr 02 13:00:28 2018 linear algebra at 0.0%, ETA 128h 2m Mon Apr 02 13:00:46 2018 checkpointing every 110000 dimensions Sat Apr 07 21:35:20 2018 lanczos halted after 212404 iterations (dim = 13431445) Sat Apr 07 21:35:34 2018 recovered 38 nontrivial dependencies Sat Apr 07 21:35:44 2018 BLanczosTime: 464430 Sat Apr 07 21:35:44 2018 elapsed time 129:00:31 Sun Apr 08 13:42:22 2018 Sun Apr 08 13:42:22 2018 Sun Apr 08 13:42:22 2018 Msieve v. 1.54 (SVN 1018) Sun Apr 08 13:42:22 2018 random seeds: 71190498 ee803178 Sun Apr 08 13:42:22 2018 factoring 16578452467011585329221035518278114401146464395198569113442878333169232298949210235447660721329465773986803340478088615679494392467014257553003166535662501623628285087306308041878848741645011 (191 digits) Sun Apr 08 13:42:23 2018 searching for 15-digit factors Sun Apr 08 13:42:23 2018 commencing number field sieve (191-digit input) Sun Apr 08 13:42:23 2018 R0: 27945714132675033142899109225439212386442031501005140283 Sun Apr 08 13:42:23 2018 R1: -1 Sun Apr 08 13:42:23 2018 A0: 1 Sun Apr 08 13:42:23 2018 A1: 1 Sun Apr 08 13:42:23 2018 A2: 1 Sun Apr 08 13:42:23 2018 A3: 1 Sun Apr 08 13:42:23 2018 A4: 1 Sun Apr 08 13:42:23 2018 skew 1.00, size 1.357e-022, alpha 1.694, combined = 1.790e-013 rroots = 0 Sun Apr 08 13:42:23 2018 Sun Apr 08 13:42:23 2018 commencing square root phase Sun Apr 08 13:42:24 2018 reading relations for dependency 1 Sun Apr 08 13:42:27 2018 read 6719283 cycles Sun Apr 08 13:42:41 2018 cycles contain 21751574 unique relations Sun Apr 08 13:45:23 2018 read 21751574 relations Sun Apr 08 13:47:19 2018 multiplying 21751574 relations Sun Apr 08 13:55:28 2018 multiply complete, coefficients have about 555.63 million bits Sun Apr 08 13:55:30 2018 initial square root is modulo 96587 Sun Apr 08 14:05:19 2018 GCD is N, no factor found Sun Apr 08 14:05:19 2018 reading relations for dependency 2 Sun Apr 08 14:05:22 2018 read 6716167 cycles Sun Apr 08 14:05:38 2018 cycles contain 21735844 unique relations Sun Apr 08 14:08:19 2018 read 21735844 relations Sun Apr 08 14:10:16 2018 multiplying 21735844 relations Sun Apr 08 14:18:24 2018 multiply complete, coefficients have about 555.23 million bits Sun Apr 08 14:18:26 2018 initial square root is modulo 95783 Sun Apr 08 14:28:16 2018 sqrtTime: 2752 Sun Apr 08 14:28:16 2018 p74 factor: 15626382775384692333419535084750741838727764681892018560625375689328636741 Sun Apr 08 14:28:16 2018 p118 factor: 1060927068363295920843997922057755434493742112717640472074895235538641668893476337366547906110082591116941822410140471 Sun Apr 08 14:28:16 2018 elapsed time 00:45:54
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