Wed Jan 13 16:46:16 2021 Wed Jan 13 16:46:16 2021 Wed Jan 13 16:46:16 2021 Msieve v. 1.53 (SVN 988M) Wed Jan 13 16:46:16 2021 random seeds: db6fb3f8 bd713dc7 Wed Jan 13 16:46:16 2021 factoring 29507897874110759521263650433606784693827870645040089161969292500671437638707529880158618979512210937115033683068276846916921446485873805876308557217627328142442620177576076502447533897086195364131197915721659983555183 (218 digits) Wed Jan 13 16:46:16 2021 searching for 15-digit factors Wed Jan 13 16:46:18 2021 commencing number field sieve (218-digit input) Wed Jan 13 16:46:18 2021 R0: 4336808689942017736029811203479766845703125 Wed Jan 13 16:46:18 2021 R1: -2305843009213693952 Wed Jan 13 16:46:18 2021 A0: 1 Wed Jan 13 16:46:18 2021 A1: -1 Wed Jan 13 16:46:18 2021 A2: 1 Wed Jan 13 16:46:18 2021 A3: -1 Wed Jan 13 16:46:18 2021 A4: 1 Wed Jan 13 16:46:18 2021 A5: -1 Wed Jan 13 16:46:18 2021 A6: 1 Wed Jan 13 16:46:18 2021 skew 1.00, size 1.279e-12, alpha 2.428, combined = 1.390e-13 rroots = 0 Wed Jan 13 16:46:18 2021 Wed Jan 13 16:46:18 2021 commencing relation filtering Wed Jan 13 16:46:18 2021 setting target matrix density to 134.0 Wed Jan 13 16:46:18 2021 estimated available RAM is 32768.0 MB Wed Jan 13 16:46:18 2021 commencing duplicate removal, pass 1 Wed Jan 13 16:49:54 2021 error -15 reading relation 35171406 Wed Jan 13 16:59:41 2021 error -1 reading relation 129352545 Wed Jan 13 16:59:42 2021 error -15 reading relation 129500846 Wed Jan 13 17:05:21 2021 error -11 reading relation 184502093 Wed Jan 13 17:05:21 2021 error -11 reading relation 184502094 Wed Jan 13 17:07:44 2021 error -15 reading relation 207724685 Wed Jan 13 17:08:30 2021 skipped 527 relations with b > 2^32 Wed Jan 13 17:08:30 2021 skipped 2 relations with composite factors Wed Jan 13 17:08:30 2021 found 10093926 hash collisions in 215134048 relations Wed Jan 13 17:08:35 2021 added 2438534 free relations Wed Jan 13 17:08:35 2021 commencing duplicate removal, pass 2 Wed Jan 13 17:17:39 2021 found 0 duplicates and 217572582 unique relations Wed Jan 13 17:17:39 2021 memory use: 756.8 MB Wed Jan 13 17:17:40 2021 reading ideals above 159842304 Wed Jan 13 17:17:40 2021 commencing singleton removal, initial pass Wed Jan 13 17:34:12 2021 memory use: 5512.0 MB Wed Jan 13 17:34:13 2021 reading all ideals from disk Wed Jan 13 17:35:39 2021 memory use: 3687.6 MB Wed Jan 13 17:35:47 2021 commencing in-memory singleton removal Wed Jan 13 17:35:54 2021 begin with 217572582 relations and 164549788 unique ideals Wed Jan 13 17:37:27 2021 reduce to 158572224 relations and 100740971 ideals in 13 passes Wed Jan 13 17:37:27 2021 max relations containing the same ideal: 44 Wed Jan 13 17:37:46 2021 reading ideals above 720000 Wed Jan 13 17:37:46 2021 commencing singleton removal, initial pass Wed Jan 13 17:54:21 2021 memory use: 3012.0 MB Wed Jan 13 17:54:21 2021 reading all ideals from disk Wed Jan 13 17:56:54 2021 memory use: 6444.9 MB Wed Jan 13 17:57:07 2021 keeping 117810681 ideals with weight <= 200, target excess is 861874 Wed Jan 13 17:57:23 2021 commencing in-memory singleton removal Wed Jan 13 17:57:34 2021 begin with 158572224 relations and 117810681 unique ideals Wed Jan 13 17:58:23 2021 reduce to 158571915 relations and 117810372 ideals in 4 passes Wed Jan 13 17:58:23 2021 max relations containing the same ideal: 200 Wed Jan 13 17:59:20 2021 removing 9576020 relations and 7576020 ideals in 2000000 cliques Wed Jan 13 17:59:24 2021 commencing in-memory singleton removal Wed Jan 13 17:59:34 2021 begin with 148995895 relations and 117810372 unique ideals Wed Jan 13 18:01:07 2021 reduce to 148564747 relations and 109796374 ideals in 8 passes Wed Jan 13 18:01:07 2021 max relations containing the same ideal: 199 Wed Jan 13 18:02:00 2021 removing 7344648 relations and 5344648 ideals in 2000000 cliques Wed Jan 13 18:02:03 2021 commencing in-memory singleton removal Wed Jan 13 18:02:13 2021 begin with 141220099 relations and 109796374 unique ideals Wed Jan 13 18:03:40 2021 reduce to 140928220 relations and 104155865 ideals in 8 passes Wed Jan 13 18:03:40 2021 max relations containing the same ideal: 197 Wed Jan 13 18:04:31 2021 removing 6700733 relations and 4700733 ideals in 2000000 cliques Wed Jan 13 18:04:34 2021 commencing in-memory singleton removal Wed Jan 13 18:04:43 2021 begin with 134227487 relations and 104155865 unique ideals Wed Jan 13 18:05:56 2021 reduce to 133975485 relations and 99199499 ideals in 7 passes Wed Jan 13 18:05:56 2021 max relations containing the same ideal: 191 Wed Jan 13 18:06:45 2021 removing 6364492 relations and 4364492 ideals in 2000000 cliques Wed Jan 13 18:06:47 2021 commencing in-memory singleton removal Wed Jan 13 18:06:56 2021 begin with 127610993 relations and 99199499 unique ideals Wed Jan 13 18:07:55 2021 reduce to 127378528 relations and 94599232 ideals in 6 passes Wed Jan 13 18:07:55 2021 max relations containing the same ideal: 183 Wed Jan 13 18:08:42 2021 removing 6151329 relations and 4151329 ideals in 2000000 cliques Wed Jan 13 18:08:44 2021 commencing in-memory singleton removal Wed Jan 13 18:08:52 2021 begin with 121227199 relations and 94599232 unique ideals Wed Jan 13 18:09:48 2021 reduce to 121007497 relations and 90225058 ideals in 6 passes Wed Jan 13 18:09:48 2021 max relations containing the same ideal: 178 Wed Jan 13 18:10:32 2021 removing 5999154 relations and 3999154 ideals in 2000000 cliques Wed Jan 13 18:10:35 2021 commencing in-memory singleton removal Wed Jan 13 18:10:42 2021 begin with 115008343 relations and 90225058 unique ideals Wed Jan 13 18:11:35 2021 reduce to 114795698 relations and 86010057 ideals in 6 passes Wed Jan 13 18:11:35 2021 max relations containing the same ideal: 176 Wed Jan 13 18:12:17 2021 removing 5890700 relations and 3890700 ideals in 2000000 cliques Wed Jan 13 18:12:19 2021 commencing in-memory singleton removal Wed Jan 13 18:12:27 2021 begin with 108904998 relations and 86010057 unique ideals Wed Jan 13 18:13:16 2021 reduce to 108694948 relations and 81906003 ideals in 6 passes Wed Jan 13 18:13:16 2021 max relations containing the same ideal: 165 Wed Jan 13 18:13:57 2021 removing 5804516 relations and 3804516 ideals in 2000000 cliques Wed Jan 13 18:13:59 2021 commencing in-memory singleton removal Wed Jan 13 18:14:06 2021 begin with 102890432 relations and 81906003 unique ideals Wed Jan 13 18:14:53 2021 reduce to 102681674 relations and 77889167 ideals in 6 passes Wed Jan 13 18:14:53 2021 max relations containing the same ideal: 158 Wed Jan 13 18:15:31 2021 removing 5738769 relations and 3738769 ideals in 2000000 cliques Wed Jan 13 18:15:33 2021 commencing in-memory singleton removal Wed Jan 13 18:15:40 2021 begin with 96942905 relations and 77889167 unique ideals Wed Jan 13 18:16:24 2021 reduce to 96729553 relations and 73933277 ideals in 6 passes Wed Jan 13 18:16:24 2021 max relations containing the same ideal: 154 Wed Jan 13 18:16:59 2021 removing 5686087 relations and 3686087 ideals in 2000000 cliques Wed Jan 13 18:17:02 2021 commencing in-memory singleton removal Wed Jan 13 18:17:08 2021 begin with 91043466 relations and 73933277 unique ideals Wed Jan 13 18:17:48 2021 reduce to 90826133 relations and 70025824 ideals in 6 passes Wed Jan 13 18:17:48 2021 max relations containing the same ideal: 149 Wed Jan 13 18:18:22 2021 removing 5647067 relations and 3647067 ideals in 2000000 cliques Wed Jan 13 18:18:24 2021 commencing in-memory singleton removal Wed Jan 13 18:18:30 2021 begin with 85179066 relations and 70025824 unique ideals Wed Jan 13 18:19:08 2021 reduce to 84954634 relations and 66149937 ideals in 6 passes Wed Jan 13 18:19:08 2021 max relations containing the same ideal: 141 Wed Jan 13 18:19:40 2021 removing 5618815 relations and 3618815 ideals in 2000000 cliques Wed Jan 13 18:19:42 2021 commencing in-memory singleton removal Wed Jan 13 18:19:47 2021 begin with 79335819 relations and 66149937 unique ideals Wed Jan 13 18:20:22 2021 reduce to 79102163 relations and 62292451 ideals in 6 passes Wed Jan 13 18:20:22 2021 max relations containing the same ideal: 135 Wed Jan 13 18:20:51 2021 removing 5599673 relations and 3599673 ideals in 2000000 cliques Wed Jan 13 18:20:53 2021 commencing in-memory singleton removal Wed Jan 13 18:20:58 2021 begin with 73502490 relations and 62292451 unique ideals Wed Jan 13 18:21:30 2021 reduce to 73257647 relations and 58442447 ideals in 6 passes Wed Jan 13 18:21:30 2021 max relations containing the same ideal: 128 Wed Jan 13 18:21:58 2021 removing 5590117 relations and 3590117 ideals in 2000000 cliques Wed Jan 13 18:22:00 2021 commencing in-memory singleton removal Wed Jan 13 18:22:04 2021 begin with 67667530 relations and 58442447 unique ideals Wed Jan 13 18:22:34 2021 reduce to 67407406 relations and 54586066 ideals in 6 passes Wed Jan 13 18:22:34 2021 max relations containing the same ideal: 119 Wed Jan 13 18:22:59 2021 removing 5588224 relations and 3588224 ideals in 2000000 cliques Wed Jan 13 18:23:01 2021 commencing in-memory singleton removal Wed Jan 13 18:23:04 2021 begin with 61819182 relations and 54586066 unique ideals Wed Jan 13 18:23:31 2021 reduce to 61540170 relations and 50711630 ideals in 6 passes Wed Jan 13 18:23:31 2021 max relations containing the same ideal: 113 Wed Jan 13 18:23:55 2021 removing 5591942 relations and 3591942 ideals in 2000000 cliques Wed Jan 13 18:23:57 2021 commencing in-memory singleton removal Wed Jan 13 18:24:00 2021 begin with 55948228 relations and 50711630 unique ideals Wed Jan 13 18:24:24 2021 reduce to 55645186 relations and 46808328 ideals in 6 passes Wed Jan 13 18:24:24 2021 max relations containing the same ideal: 104 Wed Jan 13 18:24:45 2021 removing 5607895 relations and 3607895 ideals in 2000000 cliques Wed Jan 13 18:24:46 2021 commencing in-memory singleton removal Wed Jan 13 18:24:49 2021 begin with 50037291 relations and 46808328 unique ideals Wed Jan 13 18:25:11 2021 reduce to 49701163 relations and 42854122 ideals in 6 passes Wed Jan 13 18:25:11 2021 max relations containing the same ideal: 99 Wed Jan 13 18:25:30 2021 removing 5629525 relations and 3629525 ideals in 2000000 cliques Wed Jan 13 18:25:32 2021 commencing in-memory singleton removal Wed Jan 13 18:25:34 2021 begin with 44071638 relations and 42854122 unique ideals Wed Jan 13 18:25:56 2021 reduce to 43692515 relations and 38832761 ideals in 7 passes Wed Jan 13 18:25:56 2021 max relations containing the same ideal: 95 Wed Jan 13 18:26:12 2021 removing 5669268 relations and 3669268 ideals in 2000000 cliques Wed Jan 13 18:26:14 2021 commencing in-memory singleton removal Wed Jan 13 18:26:16 2021 begin with 38023247 relations and 38832761 unique ideals Wed Jan 13 18:26:32 2021 reduce to 37575613 relations and 34699132 ideals in 6 passes Wed Jan 13 18:26:32 2021 max relations containing the same ideal: 82 Wed Jan 13 18:26:46 2021 removing 5431527 relations and 3554820 ideals in 1876707 cliques Wed Jan 13 18:26:47 2021 commencing in-memory singleton removal Wed Jan 13 18:26:49 2021 begin with 32144086 relations and 34699132 unique ideals Wed Jan 13 18:27:06 2021 reduce to 31633080 relations and 30611714 ideals in 8 passes Wed Jan 13 18:27:06 2021 max relations containing the same ideal: 76 Wed Jan 13 18:27:18 2021 removing 126046 relations and 104454 ideals in 21592 cliques Wed Jan 13 18:27:19 2021 commencing in-memory singleton removal Wed Jan 13 18:27:21 2021 begin with 31507034 relations and 30611714 unique ideals Wed Jan 13 18:27:32 2021 reduce to 31506622 relations and 30506848 ideals in 5 passes Wed Jan 13 18:27:32 2021 max relations containing the same ideal: 76 Wed Jan 13 18:27:36 2021 relations with 0 large ideals: 65995 Wed Jan 13 18:27:36 2021 relations with 1 large ideals: 14249 Wed Jan 13 18:27:36 2021 relations with 2 large ideals: 166910 Wed Jan 13 18:27:36 2021 relations with 3 large ideals: 1017781 Wed Jan 13 18:27:36 2021 relations with 4 large ideals: 3361878 Wed Jan 13 18:27:36 2021 relations with 5 large ideals: 6605445 Wed Jan 13 18:27:36 2021 relations with 6 large ideals: 8157695 Wed Jan 13 18:27:36 2021 relations with 7+ large ideals: 12116669 Wed Jan 13 18:27:36 2021 commencing 2-way merge Wed Jan 13 18:27:53 2021 reduce to 21754245 relation sets and 20754471 unique ideals Wed Jan 13 18:27:53 2021 commencing full merge Wed Jan 13 18:43:16 2021 memory use: 966.1 MB Wed Jan 13 18:43:17 2021 found 90501 cycles, need 4770074 Wed Jan 13 18:43:17 2021 too few cycles, matrix probably cannot build Wed Jan 13 19:46:23 2021 Wed Jan 13 19:46:23 2021 Wed Jan 13 19:46:23 2021 Msieve v. 1.53 (SVN 988M) Wed Jan 13 19:46:23 2021 random seeds: 9573ab24 faf0534b Wed Jan 13 19:46:23 2021 factoring 29507897874110759521263650433606784693827870645040089161969292500671437638707529880158618979512210937115033683068276846916921446485873805876308557217627328142442620177576076502447533897086195364131197915721659983555183 (218 digits) Wed Jan 13 19:46:23 2021 searching for 15-digit factors Wed Jan 13 19:46:24 2021 commencing number field sieve (218-digit input) Wed Jan 13 19:46:24 2021 R0: 4336808689942017736029811203479766845703125 Wed Jan 13 19:46:24 2021 R1: -2305843009213693952 Wed Jan 13 19:46:24 2021 A0: 1 Wed Jan 13 19:46:24 2021 A1: -1 Wed Jan 13 19:46:24 2021 A2: 1 Wed Jan 13 19:46:24 2021 A3: -1 Wed Jan 13 19:46:24 2021 A4: 1 Wed Jan 13 19:46:24 2021 A5: -1 Wed Jan 13 19:46:24 2021 A6: 1 Wed Jan 13 19:46:24 2021 skew 1.00, size 1.279e-12, alpha 2.428, combined = 1.390e-13 rroots = 0 Wed Jan 13 19:46:24 2021 Wed Jan 13 19:46:24 2021 commencing relation filtering Wed Jan 13 19:46:24 2021 setting target matrix density to 130.0 Wed Jan 13 19:46:24 2021 estimated available RAM is 32768.0 MB Wed Jan 13 19:46:24 2021 commencing duplicate removal, pass 1 Wed Jan 13 19:49:57 2021 error -15 reading relation 35171406 Wed Jan 13 19:59:30 2021 error -1 reading relation 129352545 Wed Jan 13 19:59:31 2021 error -15 reading relation 129500846 Wed Jan 13 20:05:08 2021 error -11 reading relation 184502093 Wed Jan 13 20:05:08 2021 error -11 reading relation 184502094 Wed Jan 13 20:07:30 2021 error -15 reading relation 207724685 Wed Jan 13 20:08:44 2021 skipped 527 relations with b > 2^32 Wed Jan 13 20:08:44 2021 skipped 2 relations with composite factors Wed Jan 13 20:08:44 2021 found 10315595 hash collisions in 217572582 relations Wed Jan 13 20:08:44 2021 commencing duplicate removal, pass 2 Wed Jan 13 20:17:49 2021 found 0 duplicates and 217572582 unique relations Wed Jan 13 20:17:49 2021 memory use: 756.8 MB Wed Jan 13 20:17:49 2021 reading ideals above 159842304 Wed Jan 13 20:17:49 2021 commencing singleton removal, initial pass Wed Jan 13 20:34:09 2021 memory use: 5512.0 MB Wed Jan 13 20:34:09 2021 reading all ideals from disk Wed Jan 13 20:35:36 2021 memory use: 3687.6 MB Wed Jan 13 20:35:44 2021 commencing in-memory singleton removal Wed Jan 13 20:35:51 2021 begin with 217572582 relations and 164549788 unique ideals Wed Jan 13 20:37:23 2021 reduce to 158572224 relations and 100740971 ideals in 13 passes Wed Jan 13 20:37:23 2021 max relations containing the same ideal: 44 Wed Jan 13 20:37:42 2021 reading ideals above 720000 Wed Jan 13 20:37:43 2021 commencing singleton removal, initial pass Wed Jan 13 20:54:11 2021 memory use: 3012.0 MB Wed Jan 13 20:54:12 2021 reading all ideals from disk Wed Jan 13 20:56:44 2021 memory use: 6444.9 MB Wed Jan 13 20:56:58 2021 keeping 117810681 ideals with weight <= 200, target excess is 861874 Wed Jan 13 20:57:13 2021 commencing in-memory singleton removal Wed Jan 13 20:57:24 2021 begin with 158572224 relations and 117810681 unique ideals Wed Jan 13 20:58:14 2021 reduce to 158571915 relations and 117810372 ideals in 4 passes Wed Jan 13 20:58:14 2021 max relations containing the same ideal: 200 Wed Jan 13 20:59:11 2021 removing 9576020 relations and 7576020 ideals in 2000000 cliques Wed Jan 13 20:59:14 2021 commencing in-memory singleton removal Wed Jan 13 20:59:24 2021 begin with 148995895 relations and 117810372 unique ideals Wed Jan 13 21:00:58 2021 reduce to 148564747 relations and 109796374 ideals in 8 passes Wed Jan 13 21:00:58 2021 max relations containing the same ideal: 199 Wed Jan 13 21:01:51 2021 removing 7344648 relations and 5344648 ideals in 2000000 cliques Wed Jan 13 21:01:54 2021 commencing in-memory singleton removal Wed Jan 13 21:02:04 2021 begin with 141220099 relations and 109796374 unique ideals Wed Jan 13 21:03:32 2021 reduce to 140928220 relations and 104155865 ideals in 8 passes Wed Jan 13 21:03:32 2021 max relations containing the same ideal: 197 Wed Jan 13 21:04:23 2021 removing 6700733 relations and 4700733 ideals in 2000000 cliques Wed Jan 13 21:04:26 2021 commencing in-memory singleton removal Wed Jan 13 21:04:35 2021 begin with 134227487 relations and 104155865 unique ideals Wed Jan 13 21:05:48 2021 reduce to 133975485 relations and 99199499 ideals in 7 passes Wed Jan 13 21:05:48 2021 max relations containing the same ideal: 191 Wed Jan 13 21:06:37 2021 removing 6364492 relations and 4364492 ideals in 2000000 cliques Wed Jan 13 21:06:39 2021 commencing in-memory singleton removal Wed Jan 13 21:06:48 2021 begin with 127610993 relations and 99199499 unique ideals Wed Jan 13 21:07:47 2021 reduce to 127378528 relations and 94599232 ideals in 6 passes Wed Jan 13 21:07:47 2021 max relations containing the same ideal: 183 Wed Jan 13 21:08:34 2021 removing 6151329 relations and 4151329 ideals in 2000000 cliques Wed Jan 13 21:08:37 2021 commencing in-memory singleton removal Wed Jan 13 21:08:45 2021 begin with 121227199 relations and 94599232 unique ideals Wed Jan 13 21:09:40 2021 reduce to 121007497 relations and 90225058 ideals in 6 passes Wed Jan 13 21:09:40 2021 max relations containing the same ideal: 178 Wed Jan 13 21:10:24 2021 removing 5999154 relations and 3999154 ideals in 2000000 cliques Wed Jan 13 21:10:27 2021 commencing in-memory singleton removal Wed Jan 13 21:10:35 2021 begin with 115008343 relations and 90225058 unique ideals Wed Jan 13 21:11:27 2021 reduce to 114795698 relations and 86010057 ideals in 6 passes Wed Jan 13 21:11:27 2021 max relations containing the same ideal: 176 Wed Jan 13 21:12:10 2021 removing 5890700 relations and 3890700 ideals in 2000000 cliques Wed Jan 13 21:12:12 2021 commencing in-memory singleton removal Wed Jan 13 21:12:19 2021 begin with 108904998 relations and 86010057 unique ideals Wed Jan 13 21:13:09 2021 reduce to 108694948 relations and 81906003 ideals in 6 passes Wed Jan 13 21:13:09 2021 max relations containing the same ideal: 165 Wed Jan 13 21:13:49 2021 removing 5804516 relations and 3804516 ideals in 2000000 cliques Wed Jan 13 21:13:51 2021 commencing in-memory singleton removal Wed Jan 13 21:13:58 2021 begin with 102890432 relations and 81906003 unique ideals Wed Jan 13 21:14:45 2021 reduce to 102681674 relations and 77889167 ideals in 6 passes Wed Jan 13 21:14:45 2021 max relations containing the same ideal: 158 Wed Jan 13 21:15:22 2021 removing 5738769 relations and 3738769 ideals in 2000000 cliques Wed Jan 13 21:15:25 2021 commencing in-memory singleton removal Wed Jan 13 21:15:31 2021 begin with 96942905 relations and 77889167 unique ideals Wed Jan 13 21:16:15 2021 reduce to 96729553 relations and 73933277 ideals in 6 passes Wed Jan 13 21:16:15 2021 max relations containing the same ideal: 154 Wed Jan 13 21:16:50 2021 removing 5686087 relations and 3686087 ideals in 2000000 cliques Wed Jan 13 21:16:52 2021 commencing in-memory singleton removal Wed Jan 13 21:16:58 2021 begin with 91043466 relations and 73933277 unique ideals Wed Jan 13 21:17:39 2021 reduce to 90826133 relations and 70025824 ideals in 6 passes Wed Jan 13 21:17:39 2021 max relations containing the same ideal: 149 Wed Jan 13 21:18:13 2021 removing 5647067 relations and 3647067 ideals in 2000000 cliques Wed Jan 13 21:18:15 2021 commencing in-memory singleton removal Wed Jan 13 21:18:21 2021 begin with 85179066 relations and 70025824 unique ideals Wed Jan 13 21:18:58 2021 reduce to 84954634 relations and 66149937 ideals in 6 passes Wed Jan 13 21:18:58 2021 max relations containing the same ideal: 141 Wed Jan 13 21:19:30 2021 removing 5618815 relations and 3618815 ideals in 2000000 cliques Wed Jan 13 21:19:32 2021 commencing in-memory singleton removal Wed Jan 13 21:19:37 2021 begin with 79335819 relations and 66149937 unique ideals Wed Jan 13 21:20:13 2021 reduce to 79102163 relations and 62292451 ideals in 6 passes Wed Jan 13 21:20:13 2021 max relations containing the same ideal: 135 Wed Jan 13 21:20:42 2021 removing 5599673 relations and 3599673 ideals in 2000000 cliques Wed Jan 13 21:20:44 2021 commencing in-memory singleton removal Wed Jan 13 21:20:49 2021 begin with 73502490 relations and 62292451 unique ideals Wed Jan 13 21:21:21 2021 reduce to 73257647 relations and 58442447 ideals in 6 passes Wed Jan 13 21:21:21 2021 max relations containing the same ideal: 128 Wed Jan 13 21:21:48 2021 removing 5590117 relations and 3590117 ideals in 2000000 cliques Wed Jan 13 21:21:50 2021 commencing in-memory singleton removal Wed Jan 13 21:21:54 2021 begin with 67667530 relations and 58442447 unique ideals Wed Jan 13 21:22:24 2021 reduce to 67407406 relations and 54586066 ideals in 6 passes Wed Jan 13 21:22:24 2021 max relations containing the same ideal: 119 Wed Jan 13 21:22:49 2021 removing 5588224 relations and 3588224 ideals in 2000000 cliques Wed Jan 13 21:22:51 2021 commencing in-memory singleton removal Wed Jan 13 21:22:55 2021 begin with 61819182 relations and 54586066 unique ideals Wed Jan 13 21:23:22 2021 reduce to 61540170 relations and 50711630 ideals in 6 passes Wed Jan 13 21:23:22 2021 max relations containing the same ideal: 113 Wed Jan 13 21:23:45 2021 removing 5591942 relations and 3591942 ideals in 2000000 cliques Wed Jan 13 21:23:47 2021 commencing in-memory singleton removal Wed Jan 13 21:23:51 2021 begin with 55948228 relations and 50711630 unique ideals Wed Jan 13 21:24:14 2021 reduce to 55645186 relations and 46808328 ideals in 6 passes Wed Jan 13 21:24:14 2021 max relations containing the same ideal: 104 Wed Jan 13 21:24:35 2021 removing 5607895 relations and 3607895 ideals in 2000000 cliques Wed Jan 13 21:24:37 2021 commencing in-memory singleton removal Wed Jan 13 21:24:40 2021 begin with 50037291 relations and 46808328 unique ideals Wed Jan 13 21:25:02 2021 reduce to 49701163 relations and 42854122 ideals in 6 passes Wed Jan 13 21:25:02 2021 max relations containing the same ideal: 99 Wed Jan 13 21:25:21 2021 removing 5629525 relations and 3629525 ideals in 2000000 cliques Wed Jan 13 21:25:22 2021 commencing in-memory singleton removal Wed Jan 13 21:25:25 2021 begin with 44071638 relations and 42854122 unique ideals Wed Jan 13 21:25:47 2021 reduce to 43692515 relations and 38832761 ideals in 7 passes Wed Jan 13 21:25:47 2021 max relations containing the same ideal: 95 Wed Jan 13 21:26:03 2021 removing 5669268 relations and 3669268 ideals in 2000000 cliques Wed Jan 13 21:26:05 2021 commencing in-memory singleton removal Wed Jan 13 21:26:07 2021 begin with 38023247 relations and 38832761 unique ideals Wed Jan 13 21:26:22 2021 reduce to 37575613 relations and 34699132 ideals in 6 passes Wed Jan 13 21:26:22 2021 max relations containing the same ideal: 82 Wed Jan 13 21:26:37 2021 removing 5431527 relations and 3554820 ideals in 1876707 cliques Wed Jan 13 21:26:38 2021 commencing in-memory singleton removal Wed Jan 13 21:26:40 2021 begin with 32144086 relations and 34699132 unique ideals Wed Jan 13 21:26:58 2021 reduce to 31633080 relations and 30611714 ideals in 8 passes Wed Jan 13 21:26:58 2021 max relations containing the same ideal: 76 Wed Jan 13 21:27:10 2021 removing 126046 relations and 104454 ideals in 21592 cliques Wed Jan 13 21:27:10 2021 commencing in-memory singleton removal Wed Jan 13 21:27:12 2021 begin with 31507034 relations and 30611714 unique ideals Wed Jan 13 21:27:23 2021 reduce to 31506622 relations and 30506848 ideals in 5 passes Wed Jan 13 21:27:23 2021 max relations containing the same ideal: 76 Wed Jan 13 21:27:27 2021 relations with 0 large ideals: 65995 Wed Jan 13 21:27:27 2021 relations with 1 large ideals: 14249 Wed Jan 13 21:27:27 2021 relations with 2 large ideals: 166910 Wed Jan 13 21:27:27 2021 relations with 3 large ideals: 1017781 Wed Jan 13 21:27:27 2021 relations with 4 large ideals: 3361878 Wed Jan 13 21:27:27 2021 relations with 5 large ideals: 6605445 Wed Jan 13 21:27:27 2021 relations with 6 large ideals: 8157695 Wed Jan 13 21:27:27 2021 relations with 7+ large ideals: 12116669 Wed Jan 13 21:27:27 2021 commencing 2-way merge Wed Jan 13 21:27:44 2021 reduce to 21754245 relation sets and 20754471 unique ideals Wed Jan 13 21:27:44 2021 commencing full merge Wed Jan 13 21:36:21 2021 memory use: 2896.6 MB Wed Jan 13 21:36:26 2021 found 9629002 cycles, need 9628671 Wed Jan 13 21:36:26 2021 weight of 9628671 cycles is about 1251998177 (130.03/cycle) Wed Jan 13 21:36:26 2021 distribution of cycle lengths: Wed Jan 13 21:36:26 2021 1 relations: 328518 Wed Jan 13 21:36:26 2021 2 relations: 449302 Wed Jan 13 21:36:26 2021 3 relations: 566376 Wed Jan 13 21:36:26 2021 4 relations: 622885 Wed Jan 13 21:36:26 2021 5 relations: 672439 Wed Jan 13 21:36:26 2021 6 relations: 688717 Wed Jan 13 21:36:26 2021 7 relations: 690158 Wed Jan 13 21:36:26 2021 8 relations: 676250 Wed Jan 13 21:36:26 2021 9 relations: 642601 Wed Jan 13 21:36:26 2021 10+ relations: 4291425 Wed Jan 13 21:36:26 2021 heaviest cycle: 28 relations Wed Jan 13 21:36:31 2021 commencing cycle optimization Wed Jan 13 21:36:55 2021 start with 92598380 relations Wed Jan 13 21:41:11 2021 pruned 5275966 relations Wed Jan 13 21:41:11 2021 memory use: 2260.4 MB Wed Jan 13 21:41:11 2021 distribution of cycle lengths: Wed Jan 13 21:41:11 2021 1 relations: 328518 Wed Jan 13 21:41:11 2021 2 relations: 460244 Wed Jan 13 21:41:11 2021 3 relations: 590891 Wed Jan 13 21:41:11 2021 4 relations: 652691 Wed Jan 13 21:41:11 2021 5 relations: 712935 Wed Jan 13 21:41:11 2021 6 relations: 732631 Wed Jan 13 21:41:11 2021 7 relations: 738609 Wed Jan 13 21:41:11 2021 8 relations: 722788 Wed Jan 13 21:41:11 2021 9 relations: 685747 Wed Jan 13 21:41:11 2021 10+ relations: 4003617 Wed Jan 13 21:41:11 2021 heaviest cycle: 28 relations Wed Jan 13 21:41:41 2021 RelProcTime: 6917 Wed Jan 13 21:41:41 2021 Wed Jan 13 21:41:41 2021 commencing linear algebra Wed Jan 13 21:41:43 2021 read 9628671 cycles Wed Jan 13 21:42:06 2021 cycles contain 31057155 unique relations Wed Jan 13 21:51:27 2021 read 31057155 relations Wed Jan 13 21:52:33 2021 using 20 quadratic characters above 4294917295 Wed Jan 13 21:54:17 2021 building initial matrix Wed Jan 13 22:00:03 2021 memory use: 3921.7 MB Wed Jan 13 22:02:03 2021 read 9628671 cycles Wed Jan 13 22:02:05 2021 matrix is 9628494 x 9628671 (4805.5 MB) with weight 1361138982 (141.36/col) Wed Jan 13 22:02:05 2021 sparse part has weight 1153817380 (119.83/col) Wed Jan 13 22:03:46 2021 filtering completed in 2 passes Wed Jan 13 22:03:48 2021 matrix is 9628454 x 9628631 (4805.5 MB) with weight 1361137630 (141.36/col) Wed Jan 13 22:03:48 2021 sparse part has weight 1153816938 (119.83/col) Wed Jan 13 22:06:06 2021 matrix starts at (0, 0) Wed Jan 13 22:06:07 2021 matrix is 9628454 x 9628631 (4805.5 MB) with weight 1361137630 (141.36/col) Wed Jan 13 22:06:07 2021 sparse part has weight 1153816938 (119.83/col) Wed Jan 13 22:06:07 2021 saving the first 48 matrix rows for later Wed Jan 13 22:06:08 2021 matrix includes 64 packed rows Wed Jan 13 22:06:09 2021 matrix is 9628406 x 9628631 (4608.3 MB) with weight 1185492622 (123.12/col) Wed Jan 13 22:06:09 2021 sparse part has weight 1111757996 (115.46/col) Wed Jan 13 22:06:09 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB Wed Jan 13 22:07:02 2021 commencing Lanczos iteration (16 threads) Wed Jan 13 22:07:02 2021 memory use: 3950.1 MB Wed Jan 13 22:07:14 2021 linear algebra at 0.0%, ETA 19h23m Wed Jan 13 22:07:17 2021 checkpointing every 520000 dimensions Thu Jan 14 17:55:14 2021 lanczos halted after 152260 iterations (dim = 9628404) Thu Jan 14 17:55:21 2021 recovered 39 nontrivial dependencies Thu Jan 14 17:55:25 2021 BLanczosTime: 72824 Thu Jan 14 17:55:25 2021 Thu Jan 14 17:55:25 2021 commencing square root phase Thu Jan 14 17:55:25 2021 handling dependencies 1 to 64 Thu Jan 14 17:55:25 2021 reading relations for dependency 1 Thu Jan 14 17:55:34 2021 read 4816985 cycles Thu Jan 14 17:55:44 2021 cycles contain 15529228 unique relations Thu Jan 14 18:05:00 2021 read 15529228 relations Thu Jan 14 18:06:05 2021 multiplying 15529228 relations Thu Jan 14 18:14:20 2021 multiply complete, coefficients have about 401.51 million bits Thu Jan 14 18:14:22 2021 initial square root is modulo 16007983 Thu Jan 14 18:23:01 2021 GCD is N, no factor found Thu Jan 14 18:23:01 2021 reading relations for dependency 2 Thu Jan 14 18:23:12 2021 read 4815245 cycles Thu Jan 14 18:23:22 2021 cycles contain 15525952 unique relations Thu Jan 14 18:32:38 2021 read 15525952 relations Thu Jan 14 18:33:43 2021 multiplying 15525952 relations Thu Jan 14 18:42:08 2021 multiply complete, coefficients have about 401.42 million bits Thu Jan 14 18:42:10 2021 initial square root is modulo 15953033 Thu Jan 14 18:51:01 2021 sqrtTime: 3336 Thu Jan 14 18:51:01 2021 p75 factor: 100680094404947719634117385125033732408343221066182601426750212111947841649 Thu Jan 14 18:51:01 2021 p144 factor: 293085719163376683862938428644646949306733275973878173897289353659250406305179995237376687648152654718835567546884064135808772348585626893830367 Thu Jan 14 18:51:01 2021 elapsed time 23:04:38