Fri Apr 09 08:08:28 2021 Fri Apr 09 08:08:28 2021 Fri Apr 09 08:08:28 2021 Msieve v. 1.53 (SVN 988) Fri Apr 09 08:08:28 2021 random seeds: 30c790b8 170fc2e3 Fri Apr 09 08:08:28 2021 factoring 61261166485026227511726155519212509985876084953802512601591229852049695512630830403673419690583345902491367706330801335588559309116504443825572146140205343448081770842112278218058347523404836189330389 (200 digits) Fri Apr 09 08:08:29 2021 searching for 15-digit factors Fri Apr 09 08:08:29 2021 commencing number field sieve (200-digit input) Fri Apr 09 08:08:29 2021 R0: 6995054278642830456476803564727944887163413650 Fri Apr 09 08:08:29 2021 R1: -83636441092641133832407 Fri Apr 09 08:08:29 2021 A0: 1 Fri Apr 09 08:08:29 2021 A1: 3 Fri Apr 09 08:08:29 2021 A2: -3 Fri Apr 09 08:08:29 2021 A3: -4 Fri Apr 09 08:08:29 2021 A4: 1 Fri Apr 09 08:08:29 2021 A5: 1 Fri Apr 09 08:08:29 2021 skew 1.00, size 1.330e-015, alpha 2.379, combined = 1.133e-012 rroots = 5 Fri Apr 09 08:08:29 2021 Fri Apr 09 08:08:29 2021 commencing relation filtering Fri Apr 09 08:08:29 2021 setting target matrix density to 130.0 Fri Apr 09 08:08:29 2021 estimated available RAM is 16151.1 MB Fri Apr 09 08:08:29 2021 commencing duplicate removal, pass 1 Fri Apr 09 08:09:23 2021 error -9 reading relation 8220905 Fri Apr 09 08:11:19 2021 error -9 reading relation 26678268 Fri Apr 09 08:11:51 2021 error -9 reading relation 31742239 Fri Apr 09 08:12:50 2021 error -1 reading relation 41054898 Fri Apr 09 08:12:51 2021 error -9 reading relation 41096509 Fri Apr 09 08:13:37 2021 error -9 reading relation 48297573 Fri Apr 09 08:13:46 2021 error -1 reading relation 49585926 Fri Apr 09 08:14:04 2021 error -9 reading relation 52332421 Fri Apr 09 08:14:22 2021 error -15 reading relation 55200089 Fri Apr 09 08:14:55 2021 error -15 reading relation 60338533 Fri Apr 09 08:15:04 2021 error -9 reading relation 61832531 Fri Apr 09 08:15:04 2021 error -9 reading relation 61857322 Fri Apr 09 08:15:20 2021 error -15 reading relation 64340852 Fri Apr 09 08:16:01 2021 error -1 reading relation 70745983 Fri Apr 09 08:16:15 2021 error -9 reading relation 72877227 Fri Apr 09 08:17:00 2021 error -5 reading relation 80004023 Fri Apr 09 08:17:48 2021 error -9 reading relation 87525489 Fri Apr 09 08:19:01 2021 error -9 reading relation 99294576 Fri Apr 09 08:19:15 2021 error -15 reading relation 101612813 Fri Apr 09 08:19:30 2021 error -1 reading relation 103942757 Fri Apr 09 08:19:30 2021 error -9 reading relation 103946270 Fri Apr 09 08:19:44 2021 error -15 reading relation 106184555 Fri Apr 09 08:19:44 2021 error -1 reading relation 106187834 Fri Apr 09 08:19:52 2021 error -9 reading relation 107507234 Fri Apr 09 08:20:04 2021 error -1 reading relation 109416304 Fri Apr 09 08:20:08 2021 error -15 reading relation 110040246 Fri Apr 09 08:20:08 2021 error -9 reading relation 110054239 Fri Apr 09 08:20:18 2021 error -9 reading relation 111672762 Fri Apr 09 08:20:28 2021 error -1 reading relation 113231302 Fri Apr 09 08:20:30 2021 error -9 reading relation 113538411 Fri Apr 09 08:20:43 2021 error -9 reading relation 115536400 Fri Apr 09 08:20:45 2021 error -5 reading relation 115803396 Fri Apr 09 08:20:56 2021 error -5 reading relation 117588125 Fri Apr 09 08:21:05 2021 error -1 reading relation 119120414 Fri Apr 09 08:21:06 2021 error -9 reading relation 119216574 Fri Apr 09 08:21:13 2021 error -9 reading relation 120261008 Fri Apr 09 08:21:14 2021 error -9 reading relation 120543195 Fri Apr 09 08:21:30 2021 error -9 reading relation 123027732 Fri Apr 09 08:21:30 2021 error -15 reading relation 123090474 Fri Apr 09 08:21:35 2021 error -9 reading relation 123777283 Fri Apr 09 08:21:55 2021 error -15 reading relation 126984574 Fri Apr 09 08:22:00 2021 error -15 reading relation 127758192 Fri Apr 09 08:22:10 2021 error -9 reading relation 129264709 Fri Apr 09 08:22:14 2021 error -15 reading relation 129877977 Fri Apr 09 08:22:16 2021 error -9 reading relation 130245444 Fri Apr 09 08:22:18 2021 error -15 reading relation 130496054 Fri Apr 09 08:22:18 2021 error -9 reading relation 130513320 Fri Apr 09 08:22:23 2021 error -9 reading relation 131325880 Fri Apr 09 08:22:23 2021 error -15 reading relation 131406847 Fri Apr 09 08:22:24 2021 error -9 reading relation 131420234 Fri Apr 09 08:22:24 2021 error -15 reading relation 131427336 Fri Apr 09 08:22:24 2021 error -9 reading relation 131431294 Fri Apr 09 08:22:25 2021 error -1 reading relation 131701746 Fri Apr 09 08:22:33 2021 error -9 reading relation 132941368 Fri Apr 09 08:22:36 2021 error -9 reading relation 133387724 Fri Apr 09 08:22:36 2021 error -15 reading relation 133398174 Fri Apr 09 08:22:36 2021 error -9 reading relation 133400218 Fri Apr 09 08:22:36 2021 error -5 reading relation 133400722 Fri Apr 09 08:22:37 2021 error -9 reading relation 133469759 Fri Apr 09 08:22:40 2021 error -9 reading relation 133928713 Fri Apr 09 08:22:40 2021 error -9 reading relation 133989532 Fri Apr 09 08:22:40 2021 error -1 reading relation 134041284 Fri Apr 09 08:22:47 2021 error -9 reading relation 135008269 Fri Apr 09 08:22:51 2021 error -15 reading relation 135624863 Fri Apr 09 08:22:51 2021 error -5 reading relation 135626839 Fri Apr 09 08:22:51 2021 error -1 reading relation 135743252 Fri Apr 09 08:22:51 2021 error -1 reading relation 135747646 Fri Apr 09 08:22:51 2021 error -9 reading relation 135753069 Fri Apr 09 08:23:06 2021 error -1 reading relation 137970048 Fri Apr 09 08:23:07 2021 error -15 reading relation 138129683 Fri Apr 09 08:23:07 2021 error -9 reading relation 138215580 Fri Apr 09 08:23:07 2021 error -15 reading relation 138241531 Fri Apr 09 08:23:13 2021 error -1 reading relation 139231812 Fri Apr 09 08:23:22 2021 error -9 reading relation 140538301 Fri Apr 09 08:23:22 2021 error -15 reading relation 140577649 Fri Apr 09 08:23:24 2021 skipped 45 relations with b > 2^32 Fri Apr 09 08:23:24 2021 skipped 30 relations with composite factors Fri Apr 09 08:23:24 2021 found 26142106 hash collisions in 140847484 relations Fri Apr 09 08:23:29 2021 added 2926300 free relations Fri Apr 09 08:23:29 2021 commencing duplicate removal, pass 2 Fri Apr 09 08:24:36 2021 found 24083950 duplicates and 119689834 unique relations Fri Apr 09 08:24:36 2021 memory use: 660.8 MB Fri Apr 09 08:24:36 2021 reading ideals above 83951616 Fri Apr 09 08:24:36 2021 commencing singleton removal, initial pass Fri Apr 09 08:34:50 2021 memory use: 2756.0 MB Fri Apr 09 08:34:50 2021 reading all ideals from disk Fri Apr 09 08:34:53 2021 memory use: 2072.3 MB Fri Apr 09 08:34:58 2021 commencing in-memory singleton removal Fri Apr 09 08:35:04 2021 begin with 119689834 relations and 86396733 unique ideals Fri Apr 09 08:35:43 2021 reduce to 92214049 relations and 56942025 ideals in 10 passes Fri Apr 09 08:35:43 2021 max relations containing the same ideal: 55 Fri Apr 09 08:35:49 2021 reading ideals above 720000 Fri Apr 09 08:35:49 2021 commencing singleton removal, initial pass Fri Apr 09 08:45:50 2021 memory use: 1506.0 MB Fri Apr 09 08:45:50 2021 reading all ideals from disk Fri Apr 09 08:45:56 2021 memory use: 3469.3 MB Fri Apr 09 08:46:07 2021 keeping 66245580 ideals with weight <= 200, target excess is 470160 Fri Apr 09 08:46:17 2021 commencing in-memory singleton removal Fri Apr 09 08:46:27 2021 begin with 92214049 relations and 66245580 unique ideals Fri Apr 09 08:46:41 2021 reduce to 92214004 relations and 66245535 ideals in 2 passes Fri Apr 09 08:46:41 2021 max relations containing the same ideal: 200 Fri Apr 09 08:47:20 2021 removing 7448334 relations and 5448334 ideals in 2000000 cliques Fri Apr 09 08:47:23 2021 commencing in-memory singleton removal Fri Apr 09 08:47:31 2021 begin with 84765670 relations and 66245535 unique ideals Fri Apr 09 08:48:21 2021 reduce to 84246982 relations and 60263763 ideals in 7 passes Fri Apr 09 08:48:21 2021 max relations containing the same ideal: 197 Fri Apr 09 08:48:58 2021 removing 6037615 relations and 4037615 ideals in 2000000 cliques Fri Apr 09 08:49:00 2021 commencing in-memory singleton removal Fri Apr 09 08:49:07 2021 begin with 78209367 relations and 60263763 unique ideals Fri Apr 09 08:49:45 2021 reduce to 77856708 relations and 55864721 ideals in 6 passes Fri Apr 09 08:49:45 2021 max relations containing the same ideal: 188 Fri Apr 09 08:50:19 2021 removing 5659255 relations and 3659255 ideals in 2000000 cliques Fri Apr 09 08:50:21 2021 commencing in-memory singleton removal Fri Apr 09 08:50:29 2021 begin with 72197453 relations and 55864721 unique ideals Fri Apr 09 08:51:03 2021 reduce to 71889964 relations and 51890187 ideals in 6 passes Fri Apr 09 08:51:03 2021 max relations containing the same ideal: 181 Fri Apr 09 08:51:35 2021 removing 5465907 relations and 3465907 ideals in 2000000 cliques Fri Apr 09 08:51:37 2021 commencing in-memory singleton removal Fri Apr 09 08:51:44 2021 begin with 66424057 relations and 51890187 unique ideals Fri Apr 09 08:52:16 2021 reduce to 66131229 relations and 48123723 ideals in 6 passes Fri Apr 09 08:52:16 2021 max relations containing the same ideal: 174 Fri Apr 09 08:52:46 2021 removing 5347341 relations and 3347341 ideals in 2000000 cliques Fri Apr 09 08:52:47 2021 commencing in-memory singleton removal Fri Apr 09 08:52:54 2021 begin with 60783888 relations and 48123723 unique ideals Fri Apr 09 08:53:23 2021 reduce to 60491812 relations and 44476327 ideals in 6 passes Fri Apr 09 08:53:23 2021 max relations containing the same ideal: 168 Fri Apr 09 08:53:50 2021 removing 5266411 relations and 3266411 ideals in 2000000 cliques Fri Apr 09 08:53:51 2021 commencing in-memory singleton removal Fri Apr 09 08:53:56 2021 begin with 55225401 relations and 44476327 unique ideals Fri Apr 09 08:54:23 2021 reduce to 54926078 relations and 40901703 ideals in 6 passes Fri Apr 09 08:54:23 2021 max relations containing the same ideal: 152 Fri Apr 09 08:54:47 2021 removing 5219050 relations and 3219050 ideals in 2000000 cliques Fri Apr 09 08:54:49 2021 commencing in-memory singleton removal Fri Apr 09 08:54:54 2021 begin with 49707028 relations and 40901703 unique ideals Fri Apr 09 08:55:17 2021 reduce to 49392590 relations and 37358031 ideals in 6 passes Fri Apr 09 08:55:17 2021 max relations containing the same ideal: 142 Fri Apr 09 08:55:40 2021 removing 5187913 relations and 3187913 ideals in 2000000 cliques Fri Apr 09 08:55:41 2021 commencing in-memory singleton removal Fri Apr 09 08:55:45 2021 begin with 44204677 relations and 37358031 unique ideals Fri Apr 09 08:56:06 2021 reduce to 43864010 relations and 33817537 ideals in 6 passes Fri Apr 09 08:56:06 2021 max relations containing the same ideal: 133 Fri Apr 09 08:56:26 2021 removing 5182149 relations and 3182149 ideals in 2000000 cliques Fri Apr 09 08:56:27 2021 commencing in-memory singleton removal Fri Apr 09 08:56:31 2021 begin with 38681861 relations and 33817537 unique ideals Fri Apr 09 08:56:52 2021 reduce to 38305303 relations and 30243960 ideals in 7 passes Fri Apr 09 08:56:52 2021 max relations containing the same ideal: 123 Fri Apr 09 08:57:10 2021 removing 5190450 relations and 3190450 ideals in 2000000 cliques Fri Apr 09 08:57:12 2021 commencing in-memory singleton removal Fri Apr 09 08:57:15 2021 begin with 33114853 relations and 30243960 unique ideals Fri Apr 09 08:57:33 2021 reduce to 32688379 relations and 26608446 ideals in 7 passes Fri Apr 09 08:57:33 2021 max relations containing the same ideal: 110 Fri Apr 09 08:57:49 2021 removing 5214292 relations and 3214292 ideals in 2000000 cliques Fri Apr 09 08:57:50 2021 commencing in-memory singleton removal Fri Apr 09 08:57:53 2021 begin with 27474087 relations and 26608446 unique ideals Fri Apr 09 08:58:10 2021 reduce to 26976482 relations and 22871130 ideals in 8 passes Fri Apr 09 08:58:10 2021 max relations containing the same ideal: 100 Fri Apr 09 08:58:23 2021 removing 5245227 relations and 3245227 ideals in 2000000 cliques Fri Apr 09 08:58:24 2021 commencing in-memory singleton removal Fri Apr 09 08:58:26 2021 begin with 21731255 relations and 22871130 unique ideals Fri Apr 09 08:58:39 2021 reduce to 21124031 relations and 18980764 ideals in 8 passes Fri Apr 09 08:58:39 2021 max relations containing the same ideal: 81 Fri Apr 09 08:58:50 2021 removing 4365248 relations and 2767367 ideals in 1597881 cliques Fri Apr 09 08:58:51 2021 commencing in-memory singleton removal Fri Apr 09 08:58:52 2021 begin with 16758783 relations and 18980764 unique ideals Fri Apr 09 08:59:02 2021 reduce to 16158839 relations and 15573682 ideals in 8 passes Fri Apr 09 08:59:02 2021 max relations containing the same ideal: 68 Fri Apr 09 08:59:10 2021 removing 220498 relations and 180727 ideals in 39771 cliques Fri Apr 09 08:59:11 2021 commencing in-memory singleton removal Fri Apr 09 08:59:12 2021 begin with 15938341 relations and 15573682 unique ideals Fri Apr 09 08:59:18 2021 reduce to 15935481 relations and 15390086 ideals in 5 passes Fri Apr 09 08:59:18 2021 max relations containing the same ideal: 68 Fri Apr 09 08:59:21 2021 relations with 0 large ideals: 35591 Fri Apr 09 08:59:21 2021 relations with 1 large ideals: 8010 Fri Apr 09 08:59:21 2021 relations with 2 large ideals: 98912 Fri Apr 09 08:59:21 2021 relations with 3 large ideals: 593953 Fri Apr 09 08:59:21 2021 relations with 4 large ideals: 1902164 Fri Apr 09 08:59:21 2021 relations with 5 large ideals: 3594389 Fri Apr 09 08:59:21 2021 relations with 6 large ideals: 4738035 Fri Apr 09 08:59:21 2021 relations with 7+ large ideals: 4964427 Fri Apr 09 08:59:21 2021 commencing 2-way merge Fri Apr 09 08:59:31 2021 reduce to 11072570 relation sets and 10527175 unique ideals Fri Apr 09 08:59:31 2021 commencing full merge Fri Apr 09 09:07:20 2021 memory use: 490.7 MB Fri Apr 09 09:07:20 2021 found 49297 cycles, need 2454360 Fri Apr 09 09:07:20 2021 too few cycles, matrix probably cannot build Fri Apr 09 09:09:28 2021 Fri Apr 09 09:09:28 2021 Fri Apr 09 09:09:28 2021 Msieve v. 1.53 (SVN 988) Fri Apr 09 09:09:28 2021 random seeds: 743092c0 1d8b22d0 Fri Apr 09 09:09:28 2021 factoring 61261166485026227511726155519212509985876084953802512601591229852049695512630830403673419690583345902491367706330801335588559309116504443825572146140205343448081770842112278218058347523404836189330389 (200 digits) Fri Apr 09 09:09:28 2021 searching for 15-digit factors Fri Apr 09 09:09:29 2021 commencing number field sieve (200-digit input) Fri Apr 09 09:09:29 2021 R0: 6995054278642830456476803564727944887163413650 Fri Apr 09 09:09:29 2021 R1: -83636441092641133832407 Fri Apr 09 09:09:29 2021 A0: 1 Fri Apr 09 09:09:29 2021 A1: 3 Fri Apr 09 09:09:29 2021 A2: -3 Fri Apr 09 09:09:29 2021 A3: -4 Fri Apr 09 09:09:29 2021 A4: 1 Fri Apr 09 09:09:29 2021 A5: 1 Fri Apr 09 09:09:29 2021 skew 1.00, size 1.330e-015, alpha 2.379, combined = 1.133e-012 rroots = 5 Fri Apr 09 09:09:29 2021 Fri Apr 09 09:09:29 2021 commencing relation filtering Fri Apr 09 09:09:29 2021 setting target matrix density to 110.0 Fri Apr 09 09:09:29 2021 estimated available RAM is 16151.1 MB Fri Apr 09 09:09:29 2021 commencing duplicate removal, pass 1 Fri Apr 09 09:10:22 2021 error -9 reading relation 8220905 Fri Apr 09 09:12:20 2021 error -9 reading relation 26678268 Fri Apr 09 09:12:52 2021 error -9 reading relation 31742239 Fri Apr 09 09:13:52 2021 error -1 reading relation 41054898 Fri Apr 09 09:13:52 2021 error -9 reading relation 41096509 Fri Apr 09 09:14:38 2021 error -9 reading relation 48297573 Fri Apr 09 09:14:47 2021 error -1 reading relation 49585926 Fri Apr 09 09:15:05 2021 error -9 reading relation 52332421 Fri Apr 09 09:15:23 2021 error -15 reading relation 55200089 Fri Apr 09 09:15:57 2021 error -15 reading relation 60338533 Fri Apr 09 09:16:06 2021 error -9 reading relation 61832531 Fri Apr 09 09:16:06 2021 error -9 reading relation 61857322 Fri Apr 09 09:16:23 2021 error -15 reading relation 64340852 Fri Apr 09 09:17:04 2021 error -1 reading relation 70745983 Fri Apr 09 09:17:18 2021 error -9 reading relation 72877227 Fri Apr 09 09:18:04 2021 error -5 reading relation 80004023 Fri Apr 09 09:18:53 2021 error -9 reading relation 87525489 Fri Apr 09 09:20:09 2021 error -9 reading relation 99294576 Fri Apr 09 09:20:24 2021 error -15 reading relation 101612813 Fri Apr 09 09:20:39 2021 error -1 reading relation 103942757 Fri Apr 09 09:20:39 2021 error -9 reading relation 103946270 Fri Apr 09 09:20:53 2021 error -15 reading relation 106184555 Fri Apr 09 09:20:53 2021 error -1 reading relation 106187834 Fri Apr 09 09:21:02 2021 error -9 reading relation 107507234 Fri Apr 09 09:21:14 2021 error -1 reading relation 109416304 Fri Apr 09 09:21:18 2021 error -15 reading relation 110040246 Fri Apr 09 09:21:18 2021 error -9 reading relation 110054239 Fri Apr 09 09:21:29 2021 error -9 reading relation 111672762 Fri Apr 09 09:21:39 2021 error -1 reading relation 113231302 Fri Apr 09 09:21:40 2021 error -9 reading relation 113538411 Fri Apr 09 09:21:53 2021 error -9 reading relation 115536400 Fri Apr 09 09:21:55 2021 error -5 reading relation 115803396 Fri Apr 09 09:22:07 2021 error -5 reading relation 117588125 Fri Apr 09 09:22:16 2021 error -1 reading relation 119120414 Fri Apr 09 09:22:17 2021 error -9 reading relation 119216574 Fri Apr 09 09:22:24 2021 error -9 reading relation 120261008 Fri Apr 09 09:22:25 2021 error -9 reading relation 120543195 Fri Apr 09 09:22:41 2021 error -9 reading relation 123027732 Fri Apr 09 09:22:42 2021 error -15 reading relation 123090474 Fri Apr 09 09:22:46 2021 error -9 reading relation 123777283 Fri Apr 09 09:23:07 2021 error -15 reading relation 126984574 Fri Apr 09 09:23:12 2021 error -15 reading relation 127758192 Fri Apr 09 09:23:21 2021 error -9 reading relation 129264709 Fri Apr 09 09:23:25 2021 error -15 reading relation 129877977 Fri Apr 09 09:23:28 2021 error -9 reading relation 130245444 Fri Apr 09 09:23:29 2021 error -15 reading relation 130496054 Fri Apr 09 09:23:30 2021 error -9 reading relation 130513320 Fri Apr 09 09:23:35 2021 error -9 reading relation 131325880 Fri Apr 09 09:23:35 2021 error -15 reading relation 131406847 Fri Apr 09 09:23:36 2021 error -9 reading relation 131420234 Fri Apr 09 09:23:36 2021 error -15 reading relation 131427336 Fri Apr 09 09:23:36 2021 error -9 reading relation 131431294 Fri Apr 09 09:23:37 2021 error -1 reading relation 131701746 Fri Apr 09 09:23:46 2021 error -9 reading relation 132941368 Fri Apr 09 09:23:48 2021 error -9 reading relation 133387724 Fri Apr 09 09:23:49 2021 error -15 reading relation 133398174 Fri Apr 09 09:23:49 2021 error -9 reading relation 133400218 Fri Apr 09 09:23:49 2021 error -5 reading relation 133400722 Fri Apr 09 09:23:49 2021 error -9 reading relation 133469759 Fri Apr 09 09:23:52 2021 error -9 reading relation 133928713 Fri Apr 09 09:23:52 2021 error -9 reading relation 133989532 Fri Apr 09 09:23:53 2021 error -1 reading relation 134041284 Fri Apr 09 09:23:59 2021 error -9 reading relation 135008269 Fri Apr 09 09:24:03 2021 error -15 reading relation 135624863 Fri Apr 09 09:24:03 2021 error -5 reading relation 135626839 Fri Apr 09 09:24:04 2021 error -1 reading relation 135743252 Fri Apr 09 09:24:04 2021 error -1 reading relation 135747646 Fri Apr 09 09:24:04 2021 error -9 reading relation 135753069 Fri Apr 09 09:24:18 2021 error -1 reading relation 137970048 Fri Apr 09 09:24:19 2021 error -15 reading relation 138129683 Fri Apr 09 09:24:20 2021 error -9 reading relation 138215580 Fri Apr 09 09:24:20 2021 error -15 reading relation 138241531 Fri Apr 09 09:24:26 2021 error -1 reading relation 139231812 Fri Apr 09 09:24:35 2021 error -9 reading relation 140538301 Fri Apr 09 09:24:35 2021 error -15 reading relation 140577649 Fri Apr 09 09:24:58 2021 skipped 45 relations with b > 2^32 Fri Apr 09 09:24:58 2021 skipped 30 relations with composite factors Fri Apr 09 09:24:58 2021 found 26383329 hash collisions in 143773784 relations Fri Apr 09 09:24:58 2021 commencing duplicate removal, pass 2 Fri Apr 09 09:26:05 2021 found 24083950 duplicates and 119689834 unique relations Fri Apr 09 09:26:05 2021 memory use: 660.8 MB Fri Apr 09 09:26:05 2021 reading ideals above 83951616 Fri Apr 09 09:26:05 2021 commencing singleton removal, initial pass Fri Apr 09 09:36:14 2021 memory use: 2756.0 MB Fri Apr 09 09:36:14 2021 reading all ideals from disk Fri Apr 09 09:36:17 2021 memory use: 2072.3 MB Fri Apr 09 09:36:23 2021 commencing in-memory singleton removal Fri Apr 09 09:36:28 2021 begin with 119689834 relations and 86396733 unique ideals Fri Apr 09 09:37:07 2021 reduce to 92214049 relations and 56942025 ideals in 10 passes Fri Apr 09 09:37:07 2021 max relations containing the same ideal: 55 Fri Apr 09 09:37:13 2021 reading ideals above 720000 Fri Apr 09 09:37:13 2021 commencing singleton removal, initial pass Fri Apr 09 09:47:14 2021 memory use: 1506.0 MB Fri Apr 09 09:47:14 2021 reading all ideals from disk Fri Apr 09 09:47:20 2021 memory use: 3469.3 MB Fri Apr 09 09:47:31 2021 keeping 66245580 ideals with weight <= 200, target excess is 470160 Fri Apr 09 09:47:41 2021 commencing in-memory singleton removal Fri Apr 09 09:47:51 2021 begin with 92214049 relations and 66245580 unique ideals Fri Apr 09 09:48:05 2021 reduce to 92214004 relations and 66245535 ideals in 2 passes Fri Apr 09 09:48:05 2021 max relations containing the same ideal: 200 Fri Apr 09 09:48:44 2021 removing 7448334 relations and 5448334 ideals in 2000000 cliques Fri Apr 09 09:48:46 2021 commencing in-memory singleton removal Fri Apr 09 09:48:55 2021 begin with 84765670 relations and 66245535 unique ideals Fri Apr 09 09:49:42 2021 reduce to 84246982 relations and 60263763 ideals in 7 passes Fri Apr 09 09:49:42 2021 max relations containing the same ideal: 197 Fri Apr 09 09:50:20 2021 removing 6037615 relations and 4037615 ideals in 2000000 cliques Fri Apr 09 09:50:22 2021 commencing in-memory singleton removal Fri Apr 09 09:50:30 2021 begin with 78209367 relations and 60263763 unique ideals Fri Apr 09 09:51:10 2021 reduce to 77856708 relations and 55864721 ideals in 6 passes Fri Apr 09 09:51:10 2021 max relations containing the same ideal: 188 Fri Apr 09 09:51:46 2021 removing 5659255 relations and 3659255 ideals in 2000000 cliques Fri Apr 09 09:51:47 2021 commencing in-memory singleton removal Fri Apr 09 09:51:55 2021 begin with 72197453 relations and 55864721 unique ideals Fri Apr 09 09:52:32 2021 reduce to 71889964 relations and 51890187 ideals in 6 passes Fri Apr 09 09:52:32 2021 max relations containing the same ideal: 181 Fri Apr 09 09:53:05 2021 removing 5465907 relations and 3465907 ideals in 2000000 cliques Fri Apr 09 09:53:07 2021 commencing in-memory singleton removal Fri Apr 09 09:53:14 2021 begin with 66424057 relations and 51890187 unique ideals Fri Apr 09 09:53:47 2021 reduce to 66131229 relations and 48123723 ideals in 6 passes Fri Apr 09 09:53:47 2021 max relations containing the same ideal: 174 Fri Apr 09 09:54:18 2021 removing 5347341 relations and 3347341 ideals in 2000000 cliques Fri Apr 09 09:54:20 2021 commencing in-memory singleton removal Fri Apr 09 09:54:26 2021 begin with 60783888 relations and 48123723 unique ideals Fri Apr 09 09:54:56 2021 reduce to 60491812 relations and 44476327 ideals in 6 passes Fri Apr 09 09:54:56 2021 max relations containing the same ideal: 168 Fri Apr 09 09:55:23 2021 removing 5266411 relations and 3266411 ideals in 2000000 cliques Fri Apr 09 09:55:25 2021 commencing in-memory singleton removal Fri Apr 09 09:55:30 2021 begin with 55225401 relations and 44476327 unique ideals Fri Apr 09 09:55:56 2021 reduce to 54926078 relations and 40901703 ideals in 6 passes Fri Apr 09 09:55:56 2021 max relations containing the same ideal: 152 Fri Apr 09 09:56:21 2021 removing 5219050 relations and 3219050 ideals in 2000000 cliques Fri Apr 09 09:56:23 2021 commencing in-memory singleton removal Fri Apr 09 09:56:28 2021 begin with 49707028 relations and 40901703 unique ideals Fri Apr 09 09:56:51 2021 reduce to 49392590 relations and 37358031 ideals in 6 passes Fri Apr 09 09:56:51 2021 max relations containing the same ideal: 142 Fri Apr 09 09:57:14 2021 removing 5187913 relations and 3187913 ideals in 2000000 cliques Fri Apr 09 09:57:15 2021 commencing in-memory singleton removal Fri Apr 09 09:57:19 2021 begin with 44204677 relations and 37358031 unique ideals Fri Apr 09 09:57:40 2021 reduce to 43864010 relations and 33817537 ideals in 6 passes Fri Apr 09 09:57:40 2021 max relations containing the same ideal: 133 Fri Apr 09 09:58:01 2021 removing 5182149 relations and 3182149 ideals in 2000000 cliques Fri Apr 09 09:58:02 2021 commencing in-memory singleton removal Fri Apr 09 09:58:06 2021 begin with 38681861 relations and 33817537 unique ideals Fri Apr 09 09:58:27 2021 reduce to 38305303 relations and 30243960 ideals in 7 passes Fri Apr 09 09:58:27 2021 max relations containing the same ideal: 123 Fri Apr 09 09:58:46 2021 removing 5190450 relations and 3190450 ideals in 2000000 cliques Fri Apr 09 09:58:47 2021 commencing in-memory singleton removal Fri Apr 09 09:58:51 2021 begin with 33114853 relations and 30243960 unique ideals Fri Apr 09 09:59:09 2021 reduce to 32688379 relations and 26608446 ideals in 7 passes Fri Apr 09 09:59:09 2021 max relations containing the same ideal: 110 Fri Apr 09 09:59:25 2021 removing 5214292 relations and 3214292 ideals in 2000000 cliques Fri Apr 09 09:59:27 2021 commencing in-memory singleton removal Fri Apr 09 09:59:29 2021 begin with 27474087 relations and 26608446 unique ideals Fri Apr 09 09:59:47 2021 reduce to 26976482 relations and 22871130 ideals in 8 passes Fri Apr 09 09:59:47 2021 max relations containing the same ideal: 100 Fri Apr 09 10:00:01 2021 removing 5245227 relations and 3245227 ideals in 2000000 cliques Fri Apr 09 10:00:02 2021 commencing in-memory singleton removal Fri Apr 09 10:00:04 2021 begin with 21731255 relations and 22871130 unique ideals Fri Apr 09 10:00:17 2021 reduce to 21124031 relations and 18980764 ideals in 8 passes Fri Apr 09 10:00:17 2021 max relations containing the same ideal: 81 Fri Apr 09 10:00:28 2021 removing 4365248 relations and 2767367 ideals in 1597881 cliques Fri Apr 09 10:00:29 2021 commencing in-memory singleton removal Fri Apr 09 10:00:30 2021 begin with 16758783 relations and 18980764 unique ideals Fri Apr 09 10:00:40 2021 reduce to 16158839 relations and 15573682 ideals in 8 passes Fri Apr 09 10:00:40 2021 max relations containing the same ideal: 68 Fri Apr 09 10:00:48 2021 removing 220498 relations and 180727 ideals in 39771 cliques Fri Apr 09 10:00:49 2021 commencing in-memory singleton removal Fri Apr 09 10:00:50 2021 begin with 15938341 relations and 15573682 unique ideals Fri Apr 09 10:00:56 2021 reduce to 15935481 relations and 15390086 ideals in 5 passes Fri Apr 09 10:00:56 2021 max relations containing the same ideal: 68 Fri Apr 09 10:00:58 2021 relations with 0 large ideals: 35591 Fri Apr 09 10:00:58 2021 relations with 1 large ideals: 8010 Fri Apr 09 10:00:58 2021 relations with 2 large ideals: 98912 Fri Apr 09 10:00:58 2021 relations with 3 large ideals: 593953 Fri Apr 09 10:00:58 2021 relations with 4 large ideals: 1902164 Fri Apr 09 10:00:58 2021 relations with 5 large ideals: 3594389 Fri Apr 09 10:00:58 2021 relations with 6 large ideals: 4738035 Fri Apr 09 10:00:58 2021 relations with 7+ large ideals: 4964427 Fri Apr 09 10:00:59 2021 commencing 2-way merge Fri Apr 09 10:01:09 2021 reduce to 11072570 relation sets and 10527175 unique ideals Fri Apr 09 10:01:09 2021 commencing full merge Fri Apr 09 10:05:17 2021 memory use: 1381.4 MB Fri Apr 09 10:05:19 2021 found 5045170 cycles, need 5017375 Fri Apr 09 10:05:19 2021 weight of 5017375 cycles is about 552195321 (110.06/cycle) Fri Apr 09 10:05:19 2021 distribution of cycle lengths: Fri Apr 09 10:05:19 2021 1 relations: 189386 Fri Apr 09 10:05:19 2021 2 relations: 282525 Fri Apr 09 10:05:19 2021 3 relations: 353250 Fri Apr 09 10:05:19 2021 4 relations: 382640 Fri Apr 09 10:05:19 2021 5 relations: 402879 Fri Apr 09 10:05:19 2021 6 relations: 402230 Fri Apr 09 10:05:19 2021 7 relations: 390826 Fri Apr 09 10:05:19 2021 8 relations: 368312 Fri Apr 09 10:05:19 2021 9 relations: 337842 Fri Apr 09 10:05:19 2021 10+ relations: 1907485 Fri Apr 09 10:05:19 2021 heaviest cycle: 28 relations Fri Apr 09 10:05:22 2021 commencing cycle optimization Fri Apr 09 10:05:31 2021 start with 43792959 relations Fri Apr 09 10:07:16 2021 pruned 2268932 relations Fri Apr 09 10:07:16 2021 memory use: 1113.7 MB Fri Apr 09 10:07:16 2021 distribution of cycle lengths: Fri Apr 09 10:07:16 2021 1 relations: 189386 Fri Apr 09 10:07:16 2021 2 relations: 289444 Fri Apr 09 10:07:16 2021 3 relations: 368919 Fri Apr 09 10:07:16 2021 4 relations: 400593 Fri Apr 09 10:07:16 2021 5 relations: 426959 Fri Apr 09 10:07:16 2021 6 relations: 426022 Fri Apr 09 10:07:16 2021 7 relations: 415564 Fri Apr 09 10:07:16 2021 8 relations: 388335 Fri Apr 09 10:07:16 2021 9 relations: 355171 Fri Apr 09 10:07:16 2021 10+ relations: 1756982 Fri Apr 09 10:07:16 2021 heaviest cycle: 28 relations Fri Apr 09 10:07:24 2021 RelProcTime: 3475 Fri Apr 09 10:07:24 2021 Fri Apr 09 10:07:24 2021 commencing linear algebra Fri Apr 09 10:07:24 2021 read 5017375 cycles Fri Apr 09 10:07:34 2021 cycles contain 15672494 unique relations Fri Apr 09 10:08:53 2021 read 15672494 relations Fri Apr 09 10:09:24 2021 using 20 quadratic characters above 4294917295 Fri Apr 09 10:10:20 2021 building initial matrix Fri Apr 09 10:13:05 2021 memory use: 1924.3 MB Fri Apr 09 10:13:09 2021 read 5017375 cycles Fri Apr 09 10:13:09 2021 matrix is 5017198 x 5017375 (2173.3 MB) with weight 621491543 (123.87/col) Fri Apr 09 10:13:09 2021 sparse part has weight 514529901 (102.55/col) Fri Apr 09 10:13:59 2021 filtering completed in 2 passes Fri Apr 09 10:14:00 2021 matrix is 5017010 x 5017187 (2173.3 MB) with weight 621483160 (123.87/col) Fri Apr 09 10:14:00 2021 sparse part has weight 514525672 (102.55/col) Fri Apr 09 10:14:13 2021 matrix starts at (0, 0) Fri Apr 09 10:14:14 2021 matrix is 5017010 x 5017187 (2173.3 MB) with weight 621483160 (123.87/col) Fri Apr 09 10:14:14 2021 sparse part has weight 514525672 (102.55/col) Fri Apr 09 10:14:14 2021 saving the first 48 matrix rows for later Fri Apr 09 10:14:15 2021 matrix includes 64 packed rows Fri Apr 09 10:14:16 2021 matrix is 5016962 x 5017187 (2080.2 MB) with weight 530737728 (105.78/col) Fri Apr 09 10:14:16 2021 sparse part has weight 495139605 (98.69/col) Fri Apr 09 10:14:16 2021 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB Fri Apr 09 10:14:34 2021 commencing Lanczos iteration (6 threads) Fri Apr 09 10:14:34 2021 memory use: 1750.1 MB Fri Apr 09 10:14:56 2021 linear algebra at 0.0%, ETA 19h15m Fri Apr 09 10:15:04 2021 checkpointing every 260000 dimensions Sat Apr 10 06:18:03 2021 lanczos halted after 79342 iterations (dim = 5016959) Sat Apr 10 06:18:08 2021 recovered 34 nontrivial dependencies Sat Apr 10 06:18:09 2021 BLanczosTime: 72645 Sat Apr 10 06:18:09 2021 Sat Apr 10 06:18:09 2021 commencing square root phase Sat Apr 10 06:18:09 2021 handling dependencies 1 to 64 Sat Apr 10 06:18:10 2021 reading relations for dependency 1 Sat Apr 10 06:18:11 2021 read 2507824 cycles Sat Apr 10 06:18:15 2021 cycles contain 7833268 unique relations Sat Apr 10 06:19:11 2021 read 7833268 relations Sat Apr 10 06:19:47 2021 multiplying 7833268 relations Sat Apr 10 06:22:10 2021 multiply complete, coefficients have about 193.47 million bits Sat Apr 10 06:22:11 2021 initial square root is modulo 8770253 Sat Apr 10 06:24:57 2021 GCD is N, no factor found Sat Apr 10 06:24:57 2021 reading relations for dependency 2 Sat Apr 10 06:24:58 2021 read 2508197 cycles Sat Apr 10 06:25:02 2021 cycles contain 7837786 unique relations Sat Apr 10 06:25:49 2021 read 7837786 relations Sat Apr 10 06:26:21 2021 multiplying 7837786 relations Sat Apr 10 06:28:43 2021 multiply complete, coefficients have about 193.59 million bits Sat Apr 10 06:28:44 2021 initial square root is modulo 8857853 Sat Apr 10 06:31:33 2021 GCD is N, no factor found Sat Apr 10 06:31:33 2021 reading relations for dependency 3 Sat Apr 10 06:31:34 2021 read 2509412 cycles Sat Apr 10 06:31:38 2021 cycles contain 7836914 unique relations Sat Apr 10 06:32:24 2021 read 7836914 relations Sat Apr 10 06:32:57 2021 multiplying 7836914 relations Sat Apr 10 06:35:16 2021 multiply complete, coefficients have about 193.56 million bits Sat Apr 10 06:35:17 2021 initial square root is modulo 8837593 Sat Apr 10 06:38:06 2021 GCD is 1, no factor found Sat Apr 10 06:38:06 2021 reading relations for dependency 4 Sat Apr 10 06:38:07 2021 read 2509222 cycles Sat Apr 10 06:38:11 2021 cycles contain 7834510 unique relations Sat Apr 10 06:38:58 2021 read 7834510 relations Sat Apr 10 06:39:32 2021 multiplying 7834510 relations Sat Apr 10 06:41:53 2021 multiply complete, coefficients have about 193.50 million bits Sat Apr 10 06:41:53 2021 initial square root is modulo 8797849 Sat Apr 10 06:44:41 2021 sqrtTime: 1592 Sat Apr 10 06:44:41 2021 p51 factor: 218680903209511211263635576153026969524132939797443 Sat Apr 10 06:44:41 2021 p150 factor: 280139534755505624843102259791353714667376543805540506492337475101987232834219923565684240282493202327069116045408453957592167533399582572009628684423 Sat Apr 10 06:44:41 2021 elapsed time 21:35:13