Sun Dec 9 08:37:53 2018 Sun Dec 9 08:37:53 2018 Sun Dec 9 08:37:53 2018 Msieve v. 1.53 (SVN 988M) Sun Dec 9 08:37:53 2018 random seeds: 487dcc9d 58b4fbd2 Sun Dec 9 08:37:53 2018 factoring 44839735358598707252555531236585887831019607286396777904986801265663864886296103132384389353081153430783934990117572443894329881796932464882694369089685995379947826196672194425429020268997 (188 digits) Sun Dec 9 08:37:53 2018 searching for 15-digit factors Sun Dec 9 08:37:54 2018 commencing number field sieve (188-digit input) Sun Dec 9 08:37:54 2018 R0: -2465034704958067503996131453373943813074726512397600969 Sun Dec 9 08:37:54 2018 R1: 20769187434139310514121985316880384 Sun Dec 9 08:37:54 2018 A0: 4 Sun Dec 9 08:37:54 2018 A1: 12 Sun Dec 9 08:37:54 2018 A2: 18 Sun Dec 9 08:37:54 2018 A3: 18 Sun Dec 9 08:37:54 2018 A4: 9 Sun Dec 9 08:37:54 2018 skew 0.82, size 2.164e-22, alpha 1.559, combined = 2.464e-13 rroots = 0 Sun Dec 9 08:37:54 2018 Sun Dec 9 08:37:54 2018 commencing relation filtering Sun Dec 9 08:37:54 2018 setting target matrix density to 130.0 Sun Dec 9 08:37:54 2018 estimated available RAM is 131072.0 MB Sun Dec 9 08:37:54 2018 commencing duplicate removal, pass 1 Sun Dec 9 08:43:52 2018 error -15 reading relation 53341283 Sun Dec 9 08:49:08 2018 error -1 reading relation 100141033 Sun Dec 9 08:49:08 2018 error -1 reading relation 100141034 Sun Dec 9 08:50:53 2018 error -15 reading relation 115417700 Sun Dec 9 08:54:36 2018 error -15 reading relation 148066597 Sun Dec 9 08:55:35 2018 error -15 reading relation 156748029 Sun Dec 9 08:56:30 2018 error -15 reading relation 164753455 Sun Dec 9 08:56:37 2018 error -11 reading relation 165903811 Sun Dec 9 08:56:37 2018 error -11 reading relation 165903820 Sun Dec 9 08:56:37 2018 error -11 reading relation 165903839 Sun Dec 9 08:56:37 2018 error -11 reading relation 165903878 Sun Dec 9 08:56:37 2018 error -11 reading relation 165903880 Sun Dec 9 08:56:37 2018 error -11 reading relation 165903930 Sun Dec 9 08:56:37 2018 error -11 reading relation 165903948 Sun Dec 9 08:56:37 2018 error -11 reading relation 165903956 Sun Dec 9 08:56:37 2018 error -11 reading relation 165904054 Sun Dec 9 08:56:37 2018 error -11 reading relation 165904119 Sun Dec 9 08:56:37 2018 error -11 reading relation 165904142 Sun Dec 9 08:56:37 2018 error -11 reading relation 165904225 Sun Dec 9 08:56:37 2018 error -11 reading relation 165904240 Sun Dec 9 08:56:37 2018 error -11 reading relation 165904272 Sun Dec 9 08:56:37 2018 error -11 reading relation 165904387 Sun Dec 9 08:56:37 2018 error -15 reading relation 165904405 Sun Dec 9 08:56:37 2018 error -15 reading relation 165904518 Sun Dec 9 09:00:27 2018 error -1 reading relation 199132845 Sun Dec 9 09:00:37 2018 error -11 reading relation 200469158 Sun Dec 9 09:01:12 2018 error -1 reading relation 205720588 Sun Dec 9 09:01:56 2018 skipped 1274 relations with b > 2^32 Sun Dec 9 09:01:56 2018 skipped 14 relations with composite factors Sun Dec 9 09:01:56 2018 found 9802903 hash collisions in 211956245 relations Sun Dec 9 09:02:02 2018 added 3657369 free relations Sun Dec 9 09:02:02 2018 commencing duplicate removal, pass 2 Sun Dec 9 09:02:55 2018 found 0 duplicates and 215613614 unique relations Sun Dec 9 09:02:55 2018 memory use: 522.4 MB Sun Dec 9 09:02:55 2018 reading ideals above 720000 Sun Dec 9 09:02:55 2018 commencing singleton removal, initial pass Sun Dec 9 09:27:33 2018 memory use: 5512.0 MB Sun Dec 9 09:27:34 2018 reading all ideals from disk Sun Dec 9 09:27:37 2018 memory use: 8451.1 MB Sun Dec 9 09:27:57 2018 keeping 175608891 ideals with weight <= 200, target excess is 1127683 Sun Dec 9 09:28:20 2018 commencing in-memory singleton removal Sun Dec 9 09:28:35 2018 begin with 215613614 relations and 175608891 unique ideals Sun Dec 9 09:31:25 2018 reduce to 155076595 relations and 109870720 ideals in 12 passes Sun Dec 9 09:31:25 2018 max relations containing the same ideal: 172 Sun Dec 9 09:32:24 2018 removing 9107872 relations and 7107872 ideals in 2000000 cliques Sun Dec 9 09:32:28 2018 commencing in-memory singleton removal Sun Dec 9 09:32:39 2018 begin with 145968723 relations and 109870720 unique ideals Sun Dec 9 09:34:17 2018 reduce to 145562747 relations and 102350050 ideals in 8 passes Sun Dec 9 09:34:17 2018 max relations containing the same ideal: 164 Sun Dec 9 09:35:12 2018 removing 6988941 relations and 4988941 ideals in 2000000 cliques Sun Dec 9 09:35:16 2018 commencing in-memory singleton removal Sun Dec 9 09:35:26 2018 begin with 138573806 relations and 102350050 unique ideals Sun Dec 9 09:36:48 2018 reduce to 138303079 relations and 97086374 ideals in 7 passes Sun Dec 9 09:36:48 2018 max relations containing the same ideal: 159 Sun Dec 9 09:37:41 2018 removing 6386866 relations and 4386866 ideals in 2000000 cliques Sun Dec 9 09:37:44 2018 commencing in-memory singleton removal Sun Dec 9 09:37:53 2018 begin with 131916213 relations and 97086374 unique ideals Sun Dec 9 09:38:59 2018 reduce to 131687532 relations and 92467522 ideals in 6 passes Sun Dec 9 09:38:59 2018 max relations containing the same ideal: 157 Sun Dec 9 09:39:46 2018 removing 6070169 relations and 4070169 ideals in 2000000 cliques Sun Dec 9 09:39:49 2018 commencing in-memory singleton removal Sun Dec 9 09:39:57 2018 begin with 125617363 relations and 92467522 unique ideals Sun Dec 9 09:40:54 2018 reduce to 125411285 relations and 88188279 ideals in 6 passes Sun Dec 9 09:40:54 2018 max relations containing the same ideal: 155 Sun Dec 9 09:41:38 2018 removing 5859653 relations and 3859653 ideals in 2000000 cliques Sun Dec 9 09:41:40 2018 commencing in-memory singleton removal Sun Dec 9 09:41:47 2018 begin with 119551632 relations and 88188279 unique ideals Sun Dec 9 09:42:41 2018 reduce to 119358518 relations and 84132558 ideals in 6 passes Sun Dec 9 09:42:41 2018 max relations containing the same ideal: 153 Sun Dec 9 09:43:22 2018 removing 5707210 relations and 3707210 ideals in 2000000 cliques Sun Dec 9 09:43:24 2018 commencing in-memory singleton removal Sun Dec 9 09:43:31 2018 begin with 113651308 relations and 84132558 unique ideals Sun Dec 9 09:44:22 2018 reduce to 113468186 relations and 80239405 ideals in 6 passes Sun Dec 9 09:44:22 2018 max relations containing the same ideal: 148 Sun Dec 9 09:45:01 2018 removing 5590025 relations and 3590025 ideals in 2000000 cliques Sun Dec 9 09:45:03 2018 commencing in-memory singleton removal Sun Dec 9 09:45:10 2018 begin with 107878161 relations and 80239405 unique ideals Sun Dec 9 09:45:57 2018 reduce to 107700454 relations and 76468744 ideals in 6 passes Sun Dec 9 09:45:57 2018 max relations containing the same ideal: 141 Sun Dec 9 09:46:34 2018 removing 5496934 relations and 3496934 ideals in 2000000 cliques Sun Dec 9 09:46:36 2018 commencing in-memory singleton removal Sun Dec 9 09:46:42 2018 begin with 102203520 relations and 76468744 unique ideals Sun Dec 9 09:47:27 2018 reduce to 102028552 relations and 72793792 ideals in 6 passes Sun Dec 9 09:47:27 2018 max relations containing the same ideal: 135 Sun Dec 9 09:48:01 2018 removing 5419117 relations and 3419117 ideals in 2000000 cliques Sun Dec 9 09:48:03 2018 commencing in-memory singleton removal Sun Dec 9 09:48:09 2018 begin with 96609435 relations and 72793792 unique ideals Sun Dec 9 09:48:45 2018 reduce to 96435844 relations and 69197892 ideals in 5 passes Sun Dec 9 09:48:45 2018 max relations containing the same ideal: 130 Sun Dec 9 09:49:17 2018 removing 5354413 relations and 3354413 ideals in 2000000 cliques Sun Dec 9 09:49:19 2018 commencing in-memory singleton removal Sun Dec 9 09:49:25 2018 begin with 91081431 relations and 69197892 unique ideals Sun Dec 9 09:49:58 2018 reduce to 90907813 relations and 65666536 ideals in 5 passes Sun Dec 9 09:49:58 2018 max relations containing the same ideal: 125 Sun Dec 9 09:50:29 2018 removing 5295198 relations and 3295198 ideals in 2000000 cliques Sun Dec 9 09:50:31 2018 commencing in-memory singleton removal Sun Dec 9 09:50:36 2018 begin with 85612615 relations and 65666536 unique ideals Sun Dec 9 09:51:13 2018 reduce to 85438269 relations and 62193452 ideals in 6 passes Sun Dec 9 09:51:13 2018 max relations containing the same ideal: 120 Sun Dec 9 09:51:42 2018 removing 5247814 relations and 3247814 ideals in 2000000 cliques Sun Dec 9 09:51:44 2018 commencing in-memory singleton removal Sun Dec 9 09:51:49 2018 begin with 80190455 relations and 62193452 unique ideals Sun Dec 9 09:52:24 2018 reduce to 80012579 relations and 58763932 ideals in 6 passes Sun Dec 9 09:52:24 2018 max relations containing the same ideal: 113 Sun Dec 9 09:52:51 2018 removing 5203499 relations and 3203499 ideals in 2000000 cliques Sun Dec 9 09:52:52 2018 commencing in-memory singleton removal Sun Dec 9 09:52:57 2018 begin with 74809080 relations and 58763932 unique ideals Sun Dec 9 09:53:29 2018 reduce to 74627801 relations and 55374967 ideals in 6 passes Sun Dec 9 09:53:29 2018 max relations containing the same ideal: 110 Sun Dec 9 09:53:54 2018 removing 5165909 relations and 3165909 ideals in 2000000 cliques Sun Dec 9 09:53:56 2018 commencing in-memory singleton removal Sun Dec 9 09:54:00 2018 begin with 69461892 relations and 55374967 unique ideals Sun Dec 9 09:54:30 2018 reduce to 69274737 relations and 52017406 ideals in 6 passes Sun Dec 9 09:54:30 2018 max relations containing the same ideal: 103 Sun Dec 9 09:54:53 2018 removing 5130998 relations and 3130998 ideals in 2000000 cliques Sun Dec 9 09:54:55 2018 commencing in-memory singleton removal Sun Dec 9 09:54:59 2018 begin with 64143739 relations and 52017406 unique ideals Sun Dec 9 09:55:21 2018 reduce to 63948430 relations and 48686183 ideals in 5 passes Sun Dec 9 09:55:21 2018 max relations containing the same ideal: 98 Sun Dec 9 09:55:43 2018 removing 5105458 relations and 3105458 ideals in 2000000 cliques Sun Dec 9 09:55:45 2018 commencing in-memory singleton removal Sun Dec 9 09:55:48 2018 begin with 58842972 relations and 48686183 unique ideals Sun Dec 9 09:56:17 2018 reduce to 58636937 relations and 45369073 ideals in 7 passes Sun Dec 9 09:56:17 2018 max relations containing the same ideal: 92 Sun Dec 9 09:56:37 2018 removing 5079865 relations and 3079865 ideals in 2000000 cliques Sun Dec 9 09:56:39 2018 commencing in-memory singleton removal Sun Dec 9 09:56:42 2018 begin with 53557072 relations and 45369073 unique ideals Sun Dec 9 09:57:04 2018 reduce to 53335951 relations and 42061582 ideals in 6 passes Sun Dec 9 09:57:04 2018 max relations containing the same ideal: 86 Sun Dec 9 09:57:22 2018 removing 5062368 relations and 3062368 ideals in 2000000 cliques Sun Dec 9 09:57:23 2018 commencing in-memory singleton removal Sun Dec 9 09:57:26 2018 begin with 48273583 relations and 42061582 unique ideals Sun Dec 9 09:57:43 2018 reduce to 48030603 relations and 38748634 ideals in 5 passes Sun Dec 9 09:57:43 2018 max relations containing the same ideal: 80 Sun Dec 9 09:57:59 2018 removing 5057044 relations and 3057044 ideals in 2000000 cliques Sun Dec 9 09:58:00 2018 commencing in-memory singleton removal Sun Dec 9 09:58:03 2018 begin with 42973559 relations and 38748634 unique ideals Sun Dec 9 09:58:20 2018 reduce to 42699813 relations and 35408489 ideals in 6 passes Sun Dec 9 09:58:20 2018 max relations containing the same ideal: 75 Sun Dec 9 09:58:34 2018 removing 5065765 relations and 3065765 ideals in 2000000 cliques Sun Dec 9 09:58:36 2018 commencing in-memory singleton removal Sun Dec 9 09:58:38 2018 begin with 37634048 relations and 35408489 unique ideals Sun Dec 9 09:58:56 2018 reduce to 37312566 relations and 32008824 ideals in 7 passes Sun Dec 9 09:58:56 2018 max relations containing the same ideal: 68 Sun Dec 9 09:59:08 2018 removing 5099605 relations and 3099605 ideals in 2000000 cliques Sun Dec 9 09:59:09 2018 commencing in-memory singleton removal Sun Dec 9 09:59:11 2018 begin with 32212961 relations and 32008824 unique ideals Sun Dec 9 09:59:24 2018 reduce to 31815582 relations and 28494523 ideals in 6 passes Sun Dec 9 09:59:24 2018 max relations containing the same ideal: 63 Sun Dec 9 09:59:34 2018 removing 5182033 relations and 3182033 ideals in 2000000 cliques Sun Dec 9 09:59:36 2018 commencing in-memory singleton removal Sun Dec 9 09:59:37 2018 begin with 26633549 relations and 28494523 unique ideals Sun Dec 9 09:59:51 2018 reduce to 26099235 relations and 24750517 ideals in 8 passes Sun Dec 9 09:59:51 2018 max relations containing the same ideal: 54 Sun Dec 9 09:59:59 2018 removing 203456 relations and 162851 ideals in 40605 cliques Sun Dec 9 10:00:00 2018 commencing in-memory singleton removal Sun Dec 9 10:00:01 2018 begin with 25895779 relations and 24750517 unique ideals Sun Dec 9 10:00:10 2018 reduce to 25894072 relations and 24585953 ideals in 5 passes Sun Dec 9 10:00:10 2018 max relations containing the same ideal: 54 Sun Dec 9 10:00:12 2018 relations with 0 large ideals: 83603 Sun Dec 9 10:00:12 2018 relations with 1 large ideals: 45126 Sun Dec 9 10:00:12 2018 relations with 2 large ideals: 469891 Sun Dec 9 10:00:12 2018 relations with 3 large ideals: 2119780 Sun Dec 9 10:00:12 2018 relations with 4 large ideals: 5078856 Sun Dec 9 10:00:12 2018 relations with 5 large ideals: 7749076 Sun Dec 9 10:00:12 2018 relations with 6 large ideals: 5838447 Sun Dec 9 10:00:12 2018 relations with 7+ large ideals: 4509293 Sun Dec 9 10:00:12 2018 commencing 2-way merge Sun Dec 9 10:00:25 2018 reduce to 18712816 relation sets and 17404697 unique ideals Sun Dec 9 10:00:25 2018 commencing full merge Sun Dec 9 10:08:26 2018 memory use: 820.3 MB Sun Dec 9 10:08:26 2018 found 159434 cycles, need 4381883 Sun Dec 9 10:08:26 2018 too few cycles, matrix probably cannot build Sun Dec 9 11:04:18 2018 Sun Dec 9 11:04:18 2018 Sun Dec 9 11:04:18 2018 Msieve v. 1.53 (SVN 988M) Sun Dec 9 11:04:18 2018 random seeds: a90e3a2f 6b8cdd41 Sun Dec 9 11:04:18 2018 factoring 44839735358598707252555531236585887831019607286396777904986801265663864886296103132384389353081153430783934990117572443894329881796932464882694369089685995379947826196672194425429020268997 (188 digits) Sun Dec 9 11:04:19 2018 searching for 15-digit factors Sun Dec 9 11:04:20 2018 commencing number field sieve (188-digit input) Sun Dec 9 11:04:20 2018 R0: -2465034704958067503996131453373943813074726512397600969 Sun Dec 9 11:04:20 2018 R1: 20769187434139310514121985316880384 Sun Dec 9 11:04:20 2018 A0: 4 Sun Dec 9 11:04:20 2018 A1: 12 Sun Dec 9 11:04:20 2018 A2: 18 Sun Dec 9 11:04:20 2018 A3: 18 Sun Dec 9 11:04:20 2018 A4: 9 Sun Dec 9 11:04:20 2018 skew 0.82, size 2.164e-22, alpha 1.559, combined = 2.464e-13 rroots = 0 Sun Dec 9 11:04:20 2018 Sun Dec 9 11:04:20 2018 commencing relation filtering Sun Dec 9 11:04:20 2018 setting target matrix density to 120.0 Sun Dec 9 11:04:20 2018 estimated available RAM is 131072.0 MB Sun Dec 9 11:04:20 2018 commencing duplicate removal, pass 1 Sun Dec 9 11:09:06 2018 error -15 reading relation 53341283 Sun Dec 9 11:13:17 2018 error -1 reading relation 100141033 Sun Dec 9 11:13:17 2018 error -1 reading relation 100141034 Sun Dec 9 11:14:39 2018 error -15 reading relation 115417700 Sun Dec 9 11:17:36 2018 error -15 reading relation 148066597 Sun Dec 9 11:18:23 2018 error -15 reading relation 156748029 Sun Dec 9 11:19:06 2018 error -15 reading relation 164753455 Sun Dec 9 11:19:12 2018 error -11 reading relation 165903811 Sun Dec 9 11:19:12 2018 error -11 reading relation 165903820 Sun Dec 9 11:19:12 2018 error -11 reading relation 165903839 Sun Dec 9 11:19:12 2018 error -11 reading relation 165903878 Sun Dec 9 11:19:12 2018 error -11 reading relation 165903880 Sun Dec 9 11:19:12 2018 error -11 reading relation 165903930 Sun Dec 9 11:19:12 2018 error -11 reading relation 165903948 Sun Dec 9 11:19:12 2018 error -11 reading relation 165903956 Sun Dec 9 11:19:12 2018 error -11 reading relation 165904054 Sun Dec 9 11:19:12 2018 error -11 reading relation 165904119 Sun Dec 9 11:19:12 2018 error -11 reading relation 165904142 Sun Dec 9 11:19:12 2018 error -11 reading relation 165904225 Sun Dec 9 11:19:12 2018 error -11 reading relation 165904240 Sun Dec 9 11:19:12 2018 error -11 reading relation 165904272 Sun Dec 9 11:19:12 2018 error -11 reading relation 165904387 Sun Dec 9 11:19:12 2018 error -15 reading relation 165904405 Sun Dec 9 11:19:12 2018 error -15 reading relation 165904518 Sun Dec 9 11:22:12 2018 error -1 reading relation 199132845 Sun Dec 9 11:22:20 2018 error -11 reading relation 200469158 Sun Dec 9 11:22:48 2018 error -1 reading relation 205720588 Sun Dec 9 11:23:43 2018 skipped 1274 relations with b > 2^32 Sun Dec 9 11:23:43 2018 skipped 14 relations with composite factors Sun Dec 9 11:23:43 2018 found 10130514 hash collisions in 215613614 relations Sun Dec 9 11:23:43 2018 commencing duplicate removal, pass 2 Sun Dec 9 11:24:30 2018 found 0 duplicates and 215613614 unique relations Sun Dec 9 11:24:30 2018 memory use: 756.8 MB Sun Dec 9 11:24:30 2018 reading ideals above 720000 Sun Dec 9 11:24:30 2018 commencing singleton removal, initial pass Sun Dec 9 11:42:56 2018 memory use: 5512.0 MB Sun Dec 9 11:42:56 2018 reading all ideals from disk Sun Dec 9 11:42:59 2018 memory use: 8451.1 MB Sun Dec 9 11:43:18 2018 keeping 175608891 ideals with weight <= 200, target excess is 1127683 Sun Dec 9 11:43:40 2018 commencing in-memory singleton removal Sun Dec 9 11:43:54 2018 begin with 215613614 relations and 175608891 unique ideals Sun Dec 9 11:46:31 2018 reduce to 155076595 relations and 109870720 ideals in 12 passes Sun Dec 9 11:46:31 2018 max relations containing the same ideal: 172 Sun Dec 9 11:47:25 2018 removing 9107872 relations and 7107872 ideals in 2000000 cliques Sun Dec 9 11:47:28 2018 commencing in-memory singleton removal Sun Dec 9 11:47:37 2018 begin with 145968723 relations and 109870720 unique ideals Sun Dec 9 11:49:10 2018 reduce to 145562747 relations and 102350050 ideals in 8 passes Sun Dec 9 11:49:10 2018 max relations containing the same ideal: 164 Sun Dec 9 11:50:00 2018 removing 6988941 relations and 4988941 ideals in 2000000 cliques Sun Dec 9 11:50:03 2018 commencing in-memory singleton removal Sun Dec 9 11:50:12 2018 begin with 138573806 relations and 102350050 unique ideals Sun Dec 9 11:51:29 2018 reduce to 138303079 relations and 97086374 ideals in 7 passes Sun Dec 9 11:51:29 2018 max relations containing the same ideal: 159 Sun Dec 9 11:52:17 2018 removing 6386866 relations and 4386866 ideals in 2000000 cliques Sun Dec 9 11:52:19 2018 commencing in-memory singleton removal Sun Dec 9 11:52:28 2018 begin with 131916213 relations and 97086374 unique ideals Sun Dec 9 11:53:30 2018 reduce to 131687532 relations and 92467522 ideals in 6 passes Sun Dec 9 11:53:30 2018 max relations containing the same ideal: 157 Sun Dec 9 11:54:16 2018 removing 6070169 relations and 4070169 ideals in 2000000 cliques Sun Dec 9 11:54:19 2018 commencing in-memory singleton removal Sun Dec 9 11:54:27 2018 begin with 125617363 relations and 92467522 unique ideals Sun Dec 9 11:55:26 2018 reduce to 125411285 relations and 88188279 ideals in 6 passes Sun Dec 9 11:55:26 2018 max relations containing the same ideal: 155 Sun Dec 9 11:56:09 2018 removing 5859653 relations and 3859653 ideals in 2000000 cliques Sun Dec 9 11:56:12 2018 commencing in-memory singleton removal Sun Dec 9 11:56:19 2018 begin with 119551632 relations and 88188279 unique ideals Sun Dec 9 11:57:15 2018 reduce to 119358518 relations and 84132558 ideals in 6 passes Sun Dec 9 11:57:15 2018 max relations containing the same ideal: 153 Sun Dec 9 11:57:57 2018 removing 5707210 relations and 3707210 ideals in 2000000 cliques Sun Dec 9 11:57:59 2018 commencing in-memory singleton removal Sun Dec 9 11:58:06 2018 begin with 113651308 relations and 84132558 unique ideals Sun Dec 9 11:58:59 2018 reduce to 113468186 relations and 80239405 ideals in 6 passes Sun Dec 9 11:58:59 2018 max relations containing the same ideal: 148 Sun Dec 9 11:59:38 2018 removing 5590025 relations and 3590025 ideals in 2000000 cliques Sun Dec 9 11:59:41 2018 commencing in-memory singleton removal Sun Dec 9 11:59:48 2018 begin with 107878161 relations and 80239405 unique ideals Sun Dec 9 12:00:38 2018 reduce to 107700454 relations and 76468744 ideals in 6 passes Sun Dec 9 12:00:38 2018 max relations containing the same ideal: 141 Sun Dec 9 12:01:15 2018 removing 5496934 relations and 3496934 ideals in 2000000 cliques Sun Dec 9 12:01:17 2018 commencing in-memory singleton removal Sun Dec 9 12:01:24 2018 begin with 102203520 relations and 76468744 unique ideals Sun Dec 9 12:02:10 2018 reduce to 102028552 relations and 72793792 ideals in 6 passes Sun Dec 9 12:02:10 2018 max relations containing the same ideal: 135 Sun Dec 9 12:02:45 2018 removing 5419117 relations and 3419117 ideals in 2000000 cliques Sun Dec 9 12:02:48 2018 commencing in-memory singleton removal Sun Dec 9 12:02:54 2018 begin with 96609435 relations and 72793792 unique ideals Sun Dec 9 12:03:31 2018 reduce to 96435844 relations and 69197892 ideals in 5 passes Sun Dec 9 12:03:31 2018 max relations containing the same ideal: 130 Sun Dec 9 12:04:04 2018 removing 5354413 relations and 3354413 ideals in 2000000 cliques Sun Dec 9 12:04:06 2018 commencing in-memory singleton removal Sun Dec 9 12:04:12 2018 begin with 91081431 relations and 69197892 unique ideals Sun Dec 9 12:04:47 2018 reduce to 90907813 relations and 65666536 ideals in 5 passes Sun Dec 9 12:04:47 2018 max relations containing the same ideal: 125 Sun Dec 9 12:05:18 2018 removing 5295198 relations and 3295198 ideals in 2000000 cliques Sun Dec 9 12:05:20 2018 commencing in-memory singleton removal Sun Dec 9 12:05:25 2018 begin with 85612615 relations and 65666536 unique ideals Sun Dec 9 12:06:04 2018 reduce to 85438269 relations and 62193452 ideals in 6 passes Sun Dec 9 12:06:04 2018 max relations containing the same ideal: 120 Sun Dec 9 12:06:34 2018 removing 5247814 relations and 3247814 ideals in 2000000 cliques Sun Dec 9 12:06:35 2018 commencing in-memory singleton removal Sun Dec 9 12:06:40 2018 begin with 80190455 relations and 62193452 unique ideals Sun Dec 9 12:07:17 2018 reduce to 80012579 relations and 58763932 ideals in 6 passes Sun Dec 9 12:07:17 2018 max relations containing the same ideal: 113 Sun Dec 9 12:07:44 2018 removing 5203499 relations and 3203499 ideals in 2000000 cliques Sun Dec 9 12:07:46 2018 commencing in-memory singleton removal Sun Dec 9 12:07:50 2018 begin with 74809080 relations and 58763932 unique ideals Sun Dec 9 12:08:24 2018 reduce to 74627801 relations and 55374967 ideals in 6 passes Sun Dec 9 12:08:24 2018 max relations containing the same ideal: 110 Sun Dec 9 12:08:49 2018 removing 5165909 relations and 3165909 ideals in 2000000 cliques Sun Dec 9 12:08:51 2018 commencing in-memory singleton removal Sun Dec 9 12:08:55 2018 begin with 69461892 relations and 55374967 unique ideals Sun Dec 9 12:09:26 2018 reduce to 69274737 relations and 52017406 ideals in 6 passes Sun Dec 9 12:09:26 2018 max relations containing the same ideal: 103 Sun Dec 9 12:09:50 2018 removing 5130998 relations and 3130998 ideals in 2000000 cliques Sun Dec 9 12:09:52 2018 commencing in-memory singleton removal Sun Dec 9 12:09:56 2018 begin with 64143739 relations and 52017406 unique ideals Sun Dec 9 12:10:19 2018 reduce to 63948430 relations and 48686183 ideals in 5 passes Sun Dec 9 12:10:19 2018 max relations containing the same ideal: 98 Sun Dec 9 12:10:41 2018 removing 5105458 relations and 3105458 ideals in 2000000 cliques Sun Dec 9 12:10:43 2018 commencing in-memory singleton removal Sun Dec 9 12:10:46 2018 begin with 58842972 relations and 48686183 unique ideals Sun Dec 9 12:11:17 2018 reduce to 58636937 relations and 45369073 ideals in 7 passes Sun Dec 9 12:11:17 2018 max relations containing the same ideal: 92 Sun Dec 9 12:11:37 2018 removing 5079865 relations and 3079865 ideals in 2000000 cliques Sun Dec 9 12:11:38 2018 commencing in-memory singleton removal Sun Dec 9 12:11:41 2018 begin with 53557072 relations and 45369073 unique ideals Sun Dec 9 12:12:05 2018 reduce to 53335951 relations and 42061582 ideals in 6 passes Sun Dec 9 12:12:05 2018 max relations containing the same ideal: 86 Sun Dec 9 12:12:23 2018 removing 5062368 relations and 3062368 ideals in 2000000 cliques Sun Dec 9 12:12:24 2018 commencing in-memory singleton removal Sun Dec 9 12:12:27 2018 begin with 48273583 relations and 42061582 unique ideals Sun Dec 9 12:12:44 2018 reduce to 48030603 relations and 38748634 ideals in 5 passes Sun Dec 9 12:12:44 2018 max relations containing the same ideal: 80 Sun Dec 9 12:13:01 2018 removing 5057044 relations and 3057044 ideals in 2000000 cliques Sun Dec 9 12:13:02 2018 commencing in-memory singleton removal Sun Dec 9 12:13:04 2018 begin with 42973559 relations and 38748634 unique ideals Sun Dec 9 12:13:23 2018 reduce to 42699813 relations and 35408489 ideals in 6 passes Sun Dec 9 12:13:23 2018 max relations containing the same ideal: 75 Sun Dec 9 12:13:37 2018 removing 5065765 relations and 3065765 ideals in 2000000 cliques Sun Dec 9 12:13:38 2018 commencing in-memory singleton removal Sun Dec 9 12:13:41 2018 begin with 37634048 relations and 35408489 unique ideals Sun Dec 9 12:13:59 2018 reduce to 37312566 relations and 32008824 ideals in 7 passes Sun Dec 9 12:13:59 2018 max relations containing the same ideal: 68 Sun Dec 9 12:14:11 2018 removing 5099605 relations and 3099605 ideals in 2000000 cliques Sun Dec 9 12:14:13 2018 commencing in-memory singleton removal Sun Dec 9 12:14:15 2018 begin with 32212961 relations and 32008824 unique ideals Sun Dec 9 12:14:28 2018 reduce to 31815582 relations and 28494523 ideals in 6 passes Sun Dec 9 12:14:28 2018 max relations containing the same ideal: 63 Sun Dec 9 12:14:39 2018 removing 5182033 relations and 3182033 ideals in 2000000 cliques Sun Dec 9 12:14:40 2018 commencing in-memory singleton removal Sun Dec 9 12:14:42 2018 begin with 26633549 relations and 28494523 unique ideals Sun Dec 9 12:14:56 2018 reduce to 26099235 relations and 24750517 ideals in 8 passes Sun Dec 9 12:14:56 2018 max relations containing the same ideal: 54 Sun Dec 9 12:15:05 2018 removing 203456 relations and 162851 ideals in 40605 cliques Sun Dec 9 12:15:06 2018 commencing in-memory singleton removal Sun Dec 9 12:15:07 2018 begin with 25895779 relations and 24750517 unique ideals Sun Dec 9 12:15:16 2018 reduce to 25894072 relations and 24585953 ideals in 5 passes Sun Dec 9 12:15:16 2018 max relations containing the same ideal: 54 Sun Dec 9 12:15:18 2018 relations with 0 large ideals: 83603 Sun Dec 9 12:15:18 2018 relations with 1 large ideals: 45126 Sun Dec 9 12:15:18 2018 relations with 2 large ideals: 469891 Sun Dec 9 12:15:18 2018 relations with 3 large ideals: 2119780 Sun Dec 9 12:15:18 2018 relations with 4 large ideals: 5078856 Sun Dec 9 12:15:18 2018 relations with 5 large ideals: 7749076 Sun Dec 9 12:15:18 2018 relations with 6 large ideals: 5838447 Sun Dec 9 12:15:18 2018 relations with 7+ large ideals: 4509293 Sun Dec 9 12:15:18 2018 commencing 2-way merge Sun Dec 9 12:15:31 2018 reduce to 18712816 relation sets and 17404697 unique ideals Sun Dec 9 12:15:31 2018 commencing full merge Sun Dec 9 12:20:34 2018 memory use: 1996.8 MB Sun Dec 9 12:20:38 2018 found 8037078 cycles, need 7974897 Sun Dec 9 12:20:38 2018 weight of 7974897 cycles is about 957732657 (120.09/cycle) Sun Dec 9 12:20:38 2018 distribution of cycle lengths: Sun Dec 9 12:20:38 2018 1 relations: 224138 Sun Dec 9 12:20:38 2018 2 relations: 326066 Sun Dec 9 12:20:38 2018 3 relations: 451919 Sun Dec 9 12:20:38 2018 4 relations: 522877 Sun Dec 9 12:20:38 2018 5 relations: 571913 Sun Dec 9 12:20:38 2018 6 relations: 594526 Sun Dec 9 12:20:38 2018 7 relations: 595966 Sun Dec 9 12:20:38 2018 8 relations: 581171 Sun Dec 9 12:20:38 2018 9 relations: 547017 Sun Dec 9 12:20:38 2018 10+ relations: 3559304 Sun Dec 9 12:20:38 2018 heaviest cycle: 28 relations Sun Dec 9 12:20:41 2018 commencing cycle optimization Sun Dec 9 12:20:58 2018 start with 76599501 relations Sun Dec 9 12:24:07 2018 pruned 4790531 relations Sun Dec 9 12:24:07 2018 memory use: 1852.8 MB Sun Dec 9 12:24:08 2018 distribution of cycle lengths: Sun Dec 9 12:24:08 2018 1 relations: 224138 Sun Dec 9 12:24:08 2018 2 relations: 335937 Sun Dec 9 12:24:08 2018 3 relations: 475678 Sun Dec 9 12:24:08 2018 4 relations: 553452 Sun Dec 9 12:24:08 2018 5 relations: 614001 Sun Dec 9 12:24:08 2018 6 relations: 639682 Sun Dec 9 12:24:08 2018 7 relations: 644858 Sun Dec 9 12:24:08 2018 8 relations: 625871 Sun Dec 9 12:24:08 2018 9 relations: 588199 Sun Dec 9 12:24:08 2018 10+ relations: 3273081 Sun Dec 9 12:24:08 2018 heaviest cycle: 28 relations Sun Dec 9 12:24:25 2018 RelProcTime: 4805 Sun Dec 9 12:24:25 2018 Sun Dec 9 12:24:25 2018 commencing linear algebra Sun Dec 9 12:24:26 2018 read 7974897 cycles Sun Dec 9 12:24:44 2018 cycles contain 25340866 unique relations Sun Dec 9 12:26:15 2018 read 25340866 relations Sun Dec 9 12:27:03 2018 using 20 quadratic characters above 4294917295 Sun Dec 9 12:28:26 2018 building initial matrix Sun Dec 9 12:32:15 2018 memory use: 3248.7 MB Sun Dec 9 12:32:21 2018 read 7974897 cycles Sun Dec 9 12:32:22 2018 matrix is 7974720 x 7974897 (3708.1 MB) with weight 1055212158 (132.32/col) Sun Dec 9 12:32:22 2018 sparse part has weight 884323445 (110.89/col) Sun Dec 9 12:33:43 2018 filtering completed in 2 passes Sun Dec 9 12:33:44 2018 matrix is 7974470 x 7974647 (3708.0 MB) with weight 1055201511 (132.32/col) Sun Dec 9 12:33:44 2018 sparse part has weight 884318265 (110.89/col) Sun Dec 9 12:34:09 2018 matrix starts at (0, 0) Sun Dec 9 12:34:10 2018 matrix is 7974470 x 7974647 (3708.0 MB) with weight 1055201511 (132.32/col) Sun Dec 9 12:34:10 2018 sparse part has weight 884318265 (110.89/col) Sun Dec 9 12:34:10 2018 saving the first 48 matrix rows for later Sun Dec 9 12:34:11 2018 matrix includes 64 packed rows Sun Dec 9 12:34:12 2018 matrix is 7974422 x 7974647 (3542.8 MB) with weight 908435859 (113.92/col) Sun Dec 9 12:34:12 2018 sparse part has weight 848989695 (106.46/col) Sun Dec 9 12:34:12 2018 using block size 8192 and superblock size 1351680 for processor cache size 14080 kB Sun Dec 9 12:34:45 2018 commencing Lanczos iteration (8 threads) Sun Dec 9 12:34:45 2018 memory use: 3014.1 MB Sun Dec 9 12:35:00 2018 linear algebra at 0.0%, ETA 20h25m Sun Dec 9 12:35:05 2018 checkpointing every 390000 dimensions Mon Dec 10 09:36:56 2018 lanczos halted after 126110 iterations (dim = 7974416) Mon Dec 10 09:37:04 2018 recovered 35 nontrivial dependencies Mon Dec 10 09:37:05 2018 BLanczosTime: 76360 Mon Dec 10 09:37:05 2018 Mon Dec 10 09:37:05 2018 commencing square root phase Mon Dec 10 09:37:05 2018 handling dependencies 1 to 64 Mon Dec 10 09:37:05 2018 reading relations for dependency 1 Mon Dec 10 09:37:06 2018 read 3986189 cycles Mon Dec 10 09:37:15 2018 cycles contain 12672616 unique relations Mon Dec 10 09:38:05 2018 read 12672616 relations Mon Dec 10 09:38:52 2018 multiplying 12672616 relations Mon Dec 10 09:42:07 2018 multiply complete, coefficients have about 363.32 million bits Mon Dec 10 09:42:08 2018 warning: no irreducible prime found, switching to small primes Mon Dec 10 09:42:08 2018 initial square root is modulo 53 Mon Dec 10 09:45:56 2018 GCD is 1, no factor found Mon Dec 10 09:45:56 2018 reading relations for dependency 2 Mon Dec 10 09:45:57 2018 read 3985691 cycles Mon Dec 10 09:46:05 2018 cycles contain 12663864 unique relations Mon Dec 10 09:46:55 2018 read 12663864 relations Mon Dec 10 09:47:42 2018 multiplying 12663864 relations Mon Dec 10 09:50:57 2018 multiply complete, coefficients have about 363.08 million bits Mon Dec 10 09:50:57 2018 warning: no irreducible prime found, switching to small primes Mon Dec 10 09:50:58 2018 initial square root is modulo 53 Mon Dec 10 09:54:44 2018 sqrtTime: 1059 Mon Dec 10 09:54:44 2018 p81 factor: 219393625376362050887135523260832569472500048200140969613070306199384780689167621 Mon Dec 10 09:54:44 2018 p108 factor: 204380301759806000385395479852002532822797810979551903427186277331077134164857416360555871649418084583902657 Mon Dec 10 09:54:44 2018 elapsed time 22:50:26