Fri Feb 26 08:12:43 2021 Fri Feb 26 08:12:43 2021 Fri Feb 26 08:12:43 2021 Msieve v. 1.53 (SVN 988) Fri Feb 26 08:12:43 2021 random seeds: 37c677f0 b16deb72 Fri Feb 26 08:12:43 2021 factoring 4062365140226159086853829409262584382364596882924520006668281010958067503044429921032095842374159120421219004289238685956167545565868836367082122728012635998656433505633375907929289885904010457131862376694697351049 (214 digits) Fri Feb 26 08:12:44 2021 searching for 15-digit factors Fri Feb 26 08:12:45 2021 commencing number field sieve (214-digit input) Fri Feb 26 08:12:45 2021 R0: 218633757381137623379043199093904270591 Fri Feb 26 08:12:45 2021 R1: -1 Fri Feb 26 08:12:45 2021 A0: 1 Fri Feb 26 08:12:45 2021 A1: 1 Fri Feb 26 08:12:45 2021 A2: 1 Fri Feb 26 08:12:45 2021 A3: 1 Fri Feb 26 08:12:45 2021 A4: 1 Fri Feb 26 08:12:45 2021 A5: 1 Fri Feb 26 08:12:45 2021 A6: 1 Fri Feb 26 08:12:45 2021 skew 1.00, size 2.161e-011, alpha 2.428, combined = 1.118e-012 rroots = 0 Fri Feb 26 08:12:45 2021 Fri Feb 26 08:12:45 2021 commencing relation filtering Fri Feb 26 08:12:45 2021 setting target matrix density to 120.0 Fri Feb 26 08:12:45 2021 estimated available RAM is 16151.1 MB Fri Feb 26 08:12:45 2021 commencing duplicate removal, pass 1 Fri Feb 26 08:13:17 2021 error -5 reading relation 4345683 Fri Feb 26 08:13:45 2021 error -9 reading relation 8168476 Fri Feb 26 08:13:57 2021 error -9 reading relation 9879909 Fri Feb 26 08:14:42 2021 error -9 reading relation 16280775 Fri Feb 26 08:14:48 2021 error -1 reading relation 17009657 Fri Feb 26 08:16:32 2021 error -1 reading relation 31530691 Fri Feb 26 08:16:40 2021 error -5 reading relation 32668416 Fri Feb 26 08:17:53 2021 error -15 reading relation 42399398 Fri Feb 26 08:18:13 2021 error -9 reading relation 45080776 Fri Feb 26 08:19:01 2021 error -9 reading relation 51485125 Fri Feb 26 08:19:06 2021 error -15 reading relation 52084962 Fri Feb 26 08:22:38 2021 error -15 reading relation 81816338 Fri Feb 26 08:24:19 2021 error -9 reading relation 96075655 Fri Feb 26 08:26:04 2021 error -1 reading relation 110868771 Fri Feb 26 08:26:05 2021 error -9 reading relation 110941910 Fri Feb 26 08:26:05 2021 error -5 reading relation 111073941 Fri Feb 26 08:26:06 2021 error -9 reading relation 111110573 Fri Feb 26 08:26:07 2021 error -9 reading relation 111221414 Fri Feb 26 08:26:07 2021 error -1 reading relation 111262344 Fri Feb 26 08:26:07 2021 error -9 reading relation 111335371 Fri Feb 26 08:26:08 2021 error -9 reading relation 111369414 Fri Feb 26 08:26:08 2021 error -15 reading relation 111436763 Fri Feb 26 08:26:10 2021 error -15 reading relation 111657845 Fri Feb 26 08:26:10 2021 error -9 reading relation 111716418 Fri Feb 26 08:26:21 2021 error -1 reading relation 113279334 Fri Feb 26 08:26:25 2021 error -15 reading relation 113967429 Fri Feb 26 08:26:26 2021 error -15 reading relation 114099518 Fri Feb 26 08:26:27 2021 error -9 reading relation 114215219 Fri Feb 26 08:26:28 2021 error -9 reading relation 114277855 Fri Feb 26 08:26:28 2021 error -15 reading relation 114387546 Fri Feb 26 08:26:32 2021 error -5 reading relation 114915525 Fri Feb 26 08:26:33 2021 error -15 reading relation 115062018 Fri Feb 26 08:26:35 2021 error -15 reading relation 115258769 Fri Feb 26 08:26:41 2021 error -9 reading relation 116191239 Fri Feb 26 08:27:51 2021 error -15 reading relation 125799766 Fri Feb 26 08:27:53 2021 error -15 reading relation 126113751 Fri Feb 26 08:27:54 2021 error -15 reading relation 126142861 Fri Feb 26 08:27:54 2021 error -15 reading relation 126202879 Fri Feb 26 08:27:54 2021 error -1 reading relation 126233726 Fri Feb 26 08:27:55 2021 error -9 reading relation 126326903 Fri Feb 26 08:27:56 2021 error -15 reading relation 126359996 Fri Feb 26 08:28:55 2021 error -5 reading relation 134220305 Fri Feb 26 08:28:55 2021 error -5 reading relation 134225096 Fri Feb 26 08:28:55 2021 error -9 reading relation 134228785 Fri Feb 26 08:28:55 2021 error -9 reading relation 134238489 Fri Feb 26 08:28:55 2021 error -15 reading relation 134243528 Fri Feb 26 08:29:06 2021 skipped 17 relations with b > 2^32 Fri Feb 26 08:29:06 2021 skipped 17 relations with composite factors Fri Feb 26 08:29:06 2021 found 24274675 hash collisions in 135678572 relations Fri Feb 26 08:29:12 2021 added 2438534 free relations Fri Feb 26 08:29:12 2021 commencing duplicate removal, pass 2 Fri Feb 26 08:30:32 2021 found 21960301 duplicates and 116156805 unique relations Fri Feb 26 08:30:32 2021 memory use: 660.8 MB Fri Feb 26 08:30:32 2021 reading ideals above 80019456 Fri Feb 26 08:30:32 2021 commencing singleton removal, initial pass Fri Feb 26 08:42:02 2021 memory use: 2756.0 MB Fri Feb 26 08:42:03 2021 reading all ideals from disk Fri Feb 26 08:42:06 2021 memory use: 2083.4 MB Fri Feb 26 08:42:13 2021 commencing in-memory singleton removal Fri Feb 26 08:42:21 2021 begin with 116156805 relations and 86628751 unique ideals Fri Feb 26 08:43:25 2021 reduce to 88460788 relations and 56895596 ideals in 11 passes Fri Feb 26 08:43:25 2021 max relations containing the same ideal: 32 Fri Feb 26 08:43:32 2021 reading ideals above 720000 Fri Feb 26 08:43:32 2021 commencing singleton removal, initial pass Fri Feb 26 08:55:06 2021 memory use: 1506.0 MB Fri Feb 26 08:55:07 2021 reading all ideals from disk Fri Feb 26 08:55:13 2021 memory use: 3349.2 MB Fri Feb 26 08:55:28 2021 keeping 65798347 ideals with weight <= 200, target excess is 437193 Fri Feb 26 08:55:41 2021 commencing in-memory singleton removal Fri Feb 26 08:55:54 2021 begin with 88460788 relations and 65798347 unique ideals Fri Feb 26 08:56:16 2021 reduce to 88460781 relations and 65798340 ideals in 2 passes Fri Feb 26 08:56:16 2021 max relations containing the same ideal: 200 Fri Feb 26 08:57:10 2021 removing 7628653 relations and 5628653 ideals in 2000000 cliques Fri Feb 26 08:57:13 2021 commencing in-memory singleton removal Fri Feb 26 08:57:24 2021 begin with 80832128 relations and 65798340 unique ideals Fri Feb 26 08:58:46 2021 reduce to 80277451 relations and 59599047 ideals in 8 passes Fri Feb 26 08:58:46 2021 max relations containing the same ideal: 196 Fri Feb 26 08:59:35 2021 removing 6176842 relations and 4176842 ideals in 2000000 cliques Fri Feb 26 08:59:37 2021 commencing in-memory singleton removal Fri Feb 26 08:59:48 2021 begin with 74100609 relations and 59599047 unique ideals Fri Feb 26 09:00:52 2021 reduce to 73715287 relations and 55027224 ideals in 7 passes Fri Feb 26 09:00:52 2021 max relations containing the same ideal: 187 Fri Feb 26 09:01:38 2021 removing 5792457 relations and 3792457 ideals in 2000000 cliques Fri Feb 26 09:01:41 2021 commencing in-memory singleton removal Fri Feb 26 09:01:50 2021 begin with 67922830 relations and 55027224 unique ideals Fri Feb 26 09:02:48 2021 reduce to 67576402 relations and 50879273 ideals in 7 passes Fri Feb 26 09:02:49 2021 max relations containing the same ideal: 177 Fri Feb 26 09:03:31 2021 removing 5600327 relations and 3600327 ideals in 2000000 cliques Fri Feb 26 09:03:33 2021 commencing in-memory singleton removal Fri Feb 26 09:03:41 2021 begin with 61976075 relations and 50879273 unique ideals Fri Feb 26 09:04:22 2021 reduce to 61639381 relations and 46933190 ideals in 6 passes Fri Feb 26 09:04:22 2021 max relations containing the same ideal: 167 Fri Feb 26 09:05:00 2021 removing 5491858 relations and 3491858 ideals in 2000000 cliques Fri Feb 26 09:05:02 2021 commencing in-memory singleton removal Fri Feb 26 09:05:11 2021 begin with 56147523 relations and 46933190 unique ideals Fri Feb 26 09:05:51 2021 reduce to 55801856 relations and 43085546 ideals in 6 passes Fri Feb 26 09:05:51 2021 max relations containing the same ideal: 158 Fri Feb 26 09:06:28 2021 removing 5428442 relations and 3428442 ideals in 2000000 cliques Fri Feb 26 09:06:29 2021 commencing in-memory singleton removal Fri Feb 26 09:06:36 2021 begin with 50373414 relations and 43085546 unique ideals Fri Feb 26 09:07:13 2021 reduce to 50009682 relations and 39281900 ideals in 6 passes Fri Feb 26 09:07:13 2021 max relations containing the same ideal: 148 Fri Feb 26 09:07:45 2021 removing 5401244 relations and 3401244 ideals in 2000000 cliques Fri Feb 26 09:07:46 2021 commencing in-memory singleton removal Fri Feb 26 09:07:53 2021 begin with 44608438 relations and 39281900 unique ideals Fri Feb 26 09:08:30 2021 reduce to 44211918 relations and 35470172 ideals in 7 passes Fri Feb 26 09:08:30 2021 max relations containing the same ideal: 134 Fri Feb 26 09:08:59 2021 removing 5401745 relations and 3401745 ideals in 2000000 cliques Fri Feb 26 09:09:01 2021 commencing in-memory singleton removal Fri Feb 26 09:09:06 2021 begin with 38810173 relations and 35470172 unique ideals Fri Feb 26 09:09:39 2021 reduce to 38365693 relations and 31606404 ideals in 7 passes Fri Feb 26 09:09:39 2021 max relations containing the same ideal: 123 Fri Feb 26 09:10:04 2021 removing 5428704 relations and 3428704 ideals in 2000000 cliques Fri Feb 26 09:10:05 2021 commencing in-memory singleton removal Fri Feb 26 09:10:10 2021 begin with 32936989 relations and 31606404 unique ideals Fri Feb 26 09:10:37 2021 reduce to 32423197 relations and 27640586 ideals in 7 passes Fri Feb 26 09:10:37 2021 max relations containing the same ideal: 112 Fri Feb 26 09:10:58 2021 removing 5476365 relations and 3476365 ideals in 2000000 cliques Fri Feb 26 09:11:00 2021 commencing in-memory singleton removal Fri Feb 26 09:11:03 2021 begin with 26946832 relations and 27640586 unique ideals Fri Feb 26 09:11:25 2021 reduce to 26329744 relations and 23514319 ideals in 7 passes Fri Feb 26 09:11:25 2021 max relations containing the same ideal: 97 Fri Feb 26 09:11:43 2021 removing 5540660 relations and 3540660 ideals in 2000000 cliques Fri Feb 26 09:11:44 2021 commencing in-memory singleton removal Fri Feb 26 09:11:47 2021 begin with 20789084 relations and 23514319 unique ideals Fri Feb 26 09:12:06 2021 reduce to 20006518 relations and 19138899 ideals in 8 passes Fri Feb 26 09:12:06 2021 max relations containing the same ideal: 83 Fri Feb 26 09:12:20 2021 removing 1408555 relations and 1048080 ideals in 360475 cliques Fri Feb 26 09:12:21 2021 commencing in-memory singleton removal Fri Feb 26 09:12:24 2021 begin with 18597963 relations and 19138899 unique ideals Fri Feb 26 09:12:38 2021 reduce to 18501271 relations and 17992278 ideals in 7 passes Fri Feb 26 09:12:38 2021 max relations containing the same ideal: 76 Fri Feb 26 09:12:53 2021 relations with 0 large ideals: 33478 Fri Feb 26 09:12:53 2021 relations with 1 large ideals: 6604 Fri Feb 26 09:12:53 2021 relations with 2 large ideals: 77430 Fri Feb 26 09:12:53 2021 relations with 3 large ideals: 505915 Fri Feb 26 09:12:53 2021 relations with 4 large ideals: 1789608 Fri Feb 26 09:12:53 2021 relations with 5 large ideals: 3753339 Fri Feb 26 09:12:53 2021 relations with 6 large ideals: 4892156 Fri Feb 26 09:12:53 2021 relations with 7+ large ideals: 7442741 Fri Feb 26 09:12:53 2021 commencing 2-way merge Fri Feb 26 09:13:09 2021 reduce to 12657140 relation sets and 12148147 unique ideals Fri Feb 26 09:13:09 2021 commencing full merge Fri Feb 26 09:26:58 2021 memory use: 564.2 MB Fri Feb 26 09:26:58 2021 found 47482 cycles, need 2732393 Fri Feb 26 09:26:58 2021 too few cycles, matrix probably cannot build Fri Feb 26 10:00:21 2021 Fri Feb 26 10:00:21 2021 Fri Feb 26 10:00:21 2021 Msieve v. 1.53 (SVN 988) Fri Feb 26 10:00:21 2021 random seeds: dc223e80 9e61ac5f Fri Feb 26 10:00:21 2021 factoring 4062365140226159086853829409262584382364596882924520006668281010958067503044429921032095842374159120421219004289238685956167545565868836367082122728012635998656433505633375907929289885904010457131862376694697351049 (214 digits) Fri Feb 26 10:00:22 2021 searching for 15-digit factors Fri Feb 26 10:00:22 2021 commencing number field sieve (214-digit input) Fri Feb 26 10:00:22 2021 R0: 218633757381137623379043199093904270591 Fri Feb 26 10:00:22 2021 R1: -1 Fri Feb 26 10:00:22 2021 A0: 1 Fri Feb 26 10:00:22 2021 A1: 1 Fri Feb 26 10:00:22 2021 A2: 1 Fri Feb 26 10:00:22 2021 A3: 1 Fri Feb 26 10:00:22 2021 A4: 1 Fri Feb 26 10:00:22 2021 A5: 1 Fri Feb 26 10:00:22 2021 A6: 1 Fri Feb 26 10:00:22 2021 skew 1.00, size 2.161e-011, alpha 2.428, combined = 1.118e-012 rroots = 0 Fri Feb 26 10:00:22 2021 Fri Feb 26 10:00:22 2021 commencing relation filtering Fri Feb 26 10:00:22 2021 setting target matrix density to 110.0 Fri Feb 26 10:00:22 2021 estimated available RAM is 16151.1 MB Fri Feb 26 10:00:22 2021 commencing duplicate removal, pass 1 Fri Feb 26 10:00:53 2021 error -5 reading relation 4345683 Fri Feb 26 10:01:19 2021 error -9 reading relation 8168476 Fri Feb 26 10:01:31 2021 error -9 reading relation 9879909 Fri Feb 26 10:02:15 2021 error -9 reading relation 16280775 Fri Feb 26 10:02:20 2021 error -1 reading relation 17009657 Fri Feb 26 10:04:00 2021 error -1 reading relation 31530691 Fri Feb 26 10:04:08 2021 error -5 reading relation 32668416 Fri Feb 26 10:05:14 2021 error -15 reading relation 42399398 Fri Feb 26 10:05:32 2021 error -9 reading relation 45080776 Fri Feb 26 10:06:16 2021 error -9 reading relation 51485125 Fri Feb 26 10:06:20 2021 error -15 reading relation 52084962 Fri Feb 26 10:09:47 2021 error -15 reading relation 81816338 Fri Feb 26 10:11:25 2021 error -9 reading relation 96075655 Fri Feb 26 10:13:07 2021 error -1 reading relation 110868771 Fri Feb 26 10:13:07 2021 error -9 reading relation 110941910 Fri Feb 26 10:13:08 2021 error -5 reading relation 111073941 Fri Feb 26 10:13:08 2021 error -9 reading relation 111110573 Fri Feb 26 10:13:09 2021 error -9 reading relation 111221414 Fri Feb 26 10:13:09 2021 error -1 reading relation 111262344 Fri Feb 26 10:13:10 2021 error -9 reading relation 111335371 Fri Feb 26 10:13:10 2021 error -9 reading relation 111369414 Fri Feb 26 10:13:11 2021 error -15 reading relation 111436763 Fri Feb 26 10:13:12 2021 error -15 reading relation 111657845 Fri Feb 26 10:13:13 2021 error -9 reading relation 111716418 Fri Feb 26 10:13:23 2021 error -1 reading relation 113279334 Fri Feb 26 10:13:28 2021 error -15 reading relation 113967429 Fri Feb 26 10:13:29 2021 error -15 reading relation 114099518 Fri Feb 26 10:13:30 2021 error -9 reading relation 114215219 Fri Feb 26 10:13:30 2021 error -9 reading relation 114277855 Fri Feb 26 10:13:31 2021 error -15 reading relation 114387546 Fri Feb 26 10:13:35 2021 error -5 reading relation 114915525 Fri Feb 26 10:13:36 2021 error -15 reading relation 115062018 Fri Feb 26 10:13:37 2021 error -15 reading relation 115258769 Fri Feb 26 10:13:43 2021 error -9 reading relation 116191239 Fri Feb 26 10:14:50 2021 error -15 reading relation 125799766 Fri Feb 26 10:14:52 2021 error -15 reading relation 126113751 Fri Feb 26 10:14:52 2021 error -15 reading relation 126142861 Fri Feb 26 10:14:53 2021 error -15 reading relation 126202879 Fri Feb 26 10:14:53 2021 error -1 reading relation 126233726 Fri Feb 26 10:14:53 2021 error -9 reading relation 126326903 Fri Feb 26 10:14:54 2021 error -15 reading relation 126359996 Fri Feb 26 10:15:48 2021 error -5 reading relation 134220305 Fri Feb 26 10:15:48 2021 error -5 reading relation 134225096 Fri Feb 26 10:15:48 2021 error -9 reading relation 134228785 Fri Feb 26 10:15:48 2021 error -9 reading relation 134238489 Fri Feb 26 10:15:49 2021 error -15 reading relation 134243528 Fri Feb 26 10:16:28 2021 skipped 17 relations with b > 2^32 Fri Feb 26 10:16:28 2021 skipped 17 relations with composite factors Fri Feb 26 10:16:28 2021 found 24472775 hash collisions in 138117106 relations Fri Feb 26 10:16:28 2021 commencing duplicate removal, pass 2 Fri Feb 26 10:17:46 2021 found 21960301 duplicates and 116156805 unique relations Fri Feb 26 10:17:46 2021 memory use: 660.8 MB Fri Feb 26 10:17:46 2021 reading ideals above 80019456 Fri Feb 26 10:17:46 2021 commencing singleton removal, initial pass Fri Feb 26 10:29:18 2021 memory use: 2756.0 MB Fri Feb 26 10:29:18 2021 reading all ideals from disk Fri Feb 26 10:29:22 2021 memory use: 2083.4 MB Fri Feb 26 10:29:30 2021 commencing in-memory singleton removal Fri Feb 26 10:29:36 2021 begin with 116156805 relations and 86628751 unique ideals Fri Feb 26 10:30:40 2021 reduce to 88460788 relations and 56895596 ideals in 11 passes Fri Feb 26 10:30:40 2021 max relations containing the same ideal: 32 Fri Feb 26 10:30:47 2021 reading ideals above 720000 Fri Feb 26 10:30:47 2021 commencing singleton removal, initial pass Fri Feb 26 10:42:26 2021 memory use: 1506.0 MB Fri Feb 26 10:42:26 2021 reading all ideals from disk Fri Feb 26 10:42:32 2021 memory use: 3349.2 MB Fri Feb 26 10:42:47 2021 keeping 65798347 ideals with weight <= 200, target excess is 437193 Fri Feb 26 10:43:01 2021 commencing in-memory singleton removal Fri Feb 26 10:43:14 2021 begin with 88460788 relations and 65798347 unique ideals Fri Feb 26 10:43:35 2021 reduce to 88460781 relations and 65798340 ideals in 2 passes Fri Feb 26 10:43:35 2021 max relations containing the same ideal: 200 Fri Feb 26 10:44:30 2021 removing 7628653 relations and 5628653 ideals in 2000000 cliques Fri Feb 26 10:44:33 2021 commencing in-memory singleton removal Fri Feb 26 10:44:44 2021 begin with 80832128 relations and 65798340 unique ideals Fri Feb 26 10:46:05 2021 reduce to 80277451 relations and 59599047 ideals in 8 passes Fri Feb 26 10:46:05 2021 max relations containing the same ideal: 196 Fri Feb 26 10:46:54 2021 removing 6176842 relations and 4176842 ideals in 2000000 cliques Fri Feb 26 10:46:56 2021 commencing in-memory singleton removal Fri Feb 26 10:47:07 2021 begin with 74100609 relations and 59599047 unique ideals Fri Feb 26 10:48:10 2021 reduce to 73715287 relations and 55027224 ideals in 7 passes Fri Feb 26 10:48:10 2021 max relations containing the same ideal: 187 Fri Feb 26 10:48:56 2021 removing 5792457 relations and 3792457 ideals in 2000000 cliques Fri Feb 26 10:48:58 2021 commencing in-memory singleton removal Fri Feb 26 10:49:07 2021 begin with 67922830 relations and 55027224 unique ideals Fri Feb 26 10:50:05 2021 reduce to 67576402 relations and 50879273 ideals in 7 passes Fri Feb 26 10:50:05 2021 max relations containing the same ideal: 177 Fri Feb 26 10:50:47 2021 removing 5600327 relations and 3600327 ideals in 2000000 cliques Fri Feb 26 10:50:50 2021 commencing in-memory singleton removal Fri Feb 26 10:50:58 2021 begin with 61976075 relations and 50879273 unique ideals Fri Feb 26 10:51:44 2021 reduce to 61639381 relations and 46933190 ideals in 6 passes Fri Feb 26 10:51:44 2021 max relations containing the same ideal: 167 Fri Feb 26 10:52:23 2021 removing 5491858 relations and 3491858 ideals in 2000000 cliques Fri Feb 26 10:52:25 2021 commencing in-memory singleton removal Fri Feb 26 10:52:33 2021 begin with 56147523 relations and 46933190 unique ideals Fri Feb 26 10:53:14 2021 reduce to 55801856 relations and 43085546 ideals in 6 passes Fri Feb 26 10:53:14 2021 max relations containing the same ideal: 158 Fri Feb 26 10:53:49 2021 removing 5428442 relations and 3428442 ideals in 2000000 cliques Fri Feb 26 10:53:51 2021 commencing in-memory singleton removal Fri Feb 26 10:53:58 2021 begin with 50373414 relations and 43085546 unique ideals Fri Feb 26 10:54:30 2021 reduce to 50009682 relations and 39281900 ideals in 6 passes Fri Feb 26 10:54:30 2021 max relations containing the same ideal: 148 Fri Feb 26 10:54:58 2021 removing 5401244 relations and 3401244 ideals in 2000000 cliques Fri Feb 26 10:55:00 2021 commencing in-memory singleton removal Fri Feb 26 10:55:06 2021 begin with 44608438 relations and 39281900 unique ideals Fri Feb 26 10:55:42 2021 reduce to 44211918 relations and 35470172 ideals in 7 passes Fri Feb 26 10:55:42 2021 max relations containing the same ideal: 134 Fri Feb 26 10:56:12 2021 removing 5401745 relations and 3401745 ideals in 2000000 cliques Fri Feb 26 10:56:14 2021 commencing in-memory singleton removal Fri Feb 26 10:56:19 2021 begin with 38810173 relations and 35470172 unique ideals Fri Feb 26 10:56:51 2021 reduce to 38365693 relations and 31606404 ideals in 7 passes Fri Feb 26 10:56:51 2021 max relations containing the same ideal: 123 Fri Feb 26 10:57:17 2021 removing 5428704 relations and 3428704 ideals in 2000000 cliques Fri Feb 26 10:57:18 2021 commencing in-memory singleton removal Fri Feb 26 10:57:23 2021 begin with 32936989 relations and 31606404 unique ideals Fri Feb 26 10:57:51 2021 reduce to 32423197 relations and 27640586 ideals in 7 passes Fri Feb 26 10:57:51 2021 max relations containing the same ideal: 112 Fri Feb 26 10:58:13 2021 removing 5476365 relations and 3476365 ideals in 2000000 cliques Fri Feb 26 10:58:15 2021 commencing in-memory singleton removal Fri Feb 26 10:58:18 2021 begin with 26946832 relations and 27640586 unique ideals Fri Feb 26 10:58:41 2021 reduce to 26329744 relations and 23514319 ideals in 7 passes Fri Feb 26 10:58:41 2021 max relations containing the same ideal: 97 Fri Feb 26 10:58:59 2021 removing 5540660 relations and 3540660 ideals in 2000000 cliques Fri Feb 26 10:59:01 2021 commencing in-memory singleton removal Fri Feb 26 10:59:03 2021 begin with 20789084 relations and 23514319 unique ideals Fri Feb 26 10:59:22 2021 reduce to 20006518 relations and 19138899 ideals in 8 passes Fri Feb 26 10:59:22 2021 max relations containing the same ideal: 83 Fri Feb 26 10:59:36 2021 removing 1408555 relations and 1048080 ideals in 360475 cliques Fri Feb 26 10:59:37 2021 commencing in-memory singleton removal Fri Feb 26 10:59:39 2021 begin with 18597963 relations and 19138899 unique ideals Fri Feb 26 10:59:54 2021 reduce to 18501271 relations and 17992278 ideals in 7 passes Fri Feb 26 10:59:54 2021 max relations containing the same ideal: 76 Fri Feb 26 11:00:10 2021 relations with 0 large ideals: 33478 Fri Feb 26 11:00:10 2021 relations with 1 large ideals: 6604 Fri Feb 26 11:00:10 2021 relations with 2 large ideals: 77430 Fri Feb 26 11:00:10 2021 relations with 3 large ideals: 505915 Fri Feb 26 11:00:10 2021 relations with 4 large ideals: 1789608 Fri Feb 26 11:00:10 2021 relations with 5 large ideals: 3753339 Fri Feb 26 11:00:10 2021 relations with 6 large ideals: 4892156 Fri Feb 26 11:00:10 2021 relations with 7+ large ideals: 7442741 Fri Feb 26 11:00:10 2021 commencing 2-way merge Fri Feb 26 11:00:27 2021 reduce to 12657140 relation sets and 12148147 unique ideals Fri Feb 26 11:00:27 2021 commencing full merge Fri Feb 26 11:07:26 2021 memory use: 1690.2 MB Fri Feb 26 11:07:30 2021 found 5829175 cycles, need 5800347 Fri Feb 26 11:07:30 2021 weight of 5800347 cycles is about 638215355 (110.03/cycle) Fri Feb 26 11:07:30 2021 distribution of cycle lengths: Fri Feb 26 11:07:30 2021 1 relations: 249391 Fri Feb 26 11:07:30 2021 2 relations: 355395 Fri Feb 26 11:07:30 2021 3 relations: 424287 Fri Feb 26 11:07:30 2021 4 relations: 442675 Fri Feb 26 11:07:30 2021 5 relations: 454497 Fri Feb 26 11:07:30 2021 6 relations: 449832 Fri Feb 26 11:07:30 2021 7 relations: 436947 Fri Feb 26 11:07:30 2021 8 relations: 412548 Fri Feb 26 11:07:30 2021 9 relations: 381533 Fri Feb 26 11:07:30 2021 10+ relations: 2193242 Fri Feb 26 11:07:30 2021 heaviest cycle: 28 relations Fri Feb 26 11:07:35 2021 commencing cycle optimization Fri Feb 26 11:07:48 2021 start with 49992487 relations Fri Feb 26 11:10:34 2021 pruned 2455647 relations Fri Feb 26 11:10:34 2021 memory use: 1285.7 MB Fri Feb 26 11:10:34 2021 distribution of cycle lengths: Fri Feb 26 11:10:34 2021 1 relations: 249391 Fri Feb 26 11:10:34 2021 2 relations: 363516 Fri Feb 26 11:10:34 2021 3 relations: 442082 Fri Feb 26 11:10:34 2021 4 relations: 461947 Fri Feb 26 11:10:34 2021 5 relations: 478945 Fri Feb 26 11:10:34 2021 6 relations: 473434 Fri Feb 26 11:10:34 2021 7 relations: 462422 Fri Feb 26 11:10:34 2021 8 relations: 433894 Fri Feb 26 11:10:34 2021 9 relations: 400363 Fri Feb 26 11:10:34 2021 10+ relations: 2034353 Fri Feb 26 11:10:34 2021 heaviest cycle: 28 relations Fri Feb 26 11:10:46 2021 RelProcTime: 4224 Fri Feb 26 11:10:46 2021 Fri Feb 26 11:10:46 2021 commencing linear algebra Fri Feb 26 11:10:47 2021 read 5800347 cycles Fri Feb 26 11:11:02 2021 cycles contain 18242875 unique relations Fri Feb 26 11:12:42 2021 read 18242875 relations Fri Feb 26 11:13:24 2021 using 20 quadratic characters above 4294917295 Fri Feb 26 11:14:30 2021 building initial matrix Fri Feb 26 11:18:37 2021 memory use: 2294.2 MB Fri Feb 26 11:18:42 2021 read 5800347 cycles Fri Feb 26 11:18:43 2021 matrix is 5800170 x 5800347 (2514.2 MB) with weight 716853791 (123.59/col) Fri Feb 26 11:18:43 2021 sparse part has weight 595287673 (102.63/col) Fri Feb 26 11:20:01 2021 filtering completed in 2 passes Fri Feb 26 11:20:02 2021 matrix is 5800006 x 5800183 (2514.2 MB) with weight 716848835 (123.59/col) Fri Feb 26 11:20:02 2021 sparse part has weight 595286109 (102.63/col) Fri Feb 26 11:20:22 2021 matrix starts at (0, 0) Fri Feb 26 11:20:23 2021 matrix is 5800006 x 5800183 (2514.2 MB) with weight 716848835 (123.59/col) Fri Feb 26 11:20:23 2021 sparse part has weight 595286109 (102.63/col) Fri Feb 26 11:20:23 2021 saving the first 48 matrix rows for later Fri Feb 26 11:20:25 2021 matrix includes 64 packed rows Fri Feb 26 11:20:26 2021 matrix is 5799958 x 5800183 (2403.4 MB) with weight 613028060 (105.69/col) Fri Feb 26 11:20:26 2021 sparse part has weight 572025344 (98.62/col) Fri Feb 26 11:20:26 2021 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB Fri Feb 26 11:20:49 2021 commencing Lanczos iteration (4 threads) Fri Feb 26 11:20:49 2021 memory use: 2027.5 MB Fri Feb 26 11:21:30 2021 linear algebra at 0.0%, ETA 41h19m Fri Feb 26 11:21:42 2021 checkpointing every 150000 dimensions Sun Feb 28 08:27:07 2021 lanczos halted after 91727 iterations (dim = 5799957) Sun Feb 28 08:27:13 2021 recovered 38 nontrivial dependencies Sun Feb 28 08:27:15 2021 BLanczosTime: 162989 Sun Feb 28 08:27:15 2021 Sun Feb 28 08:27:15 2021 commencing square root phase Sun Feb 28 08:27:15 2021 handling dependencies 1 to 64 Sun Feb 28 08:27:15 2021 reading relations for dependency 1 Sun Feb 28 08:27:16 2021 read 2899700 cycles Sun Feb 28 08:27:23 2021 cycles contain 9121140 unique relations Sun Feb 28 08:28:25 2021 read 9121140 relations Sun Feb 28 08:29:17 2021 multiplying 9121140 relations Sun Feb 28 08:34:05 2021 multiply complete, coefficients have about 223.02 million bits Sun Feb 28 08:34:07 2021 initial square root is modulo 100840841 Sun Feb 28 08:39:28 2021 sqrtTime: 733 Sun Feb 28 08:39:28 2021 p92 factor: 38939808123077027327257544540054850597668321449319361609836981678941815520345939535975025407 Sun Feb 28 08:39:28 2021 p123 factor: 104324220791901288099677966056524689471893967771227346378364633458889760191814499640595596866202599301602980252174500447607 Sun Feb 28 08:39:28 2021 elapsed time 46:39:07