Thu Jun 4 11:51:32 2020 Thu Jun 4 11:51:32 2020 Thu Jun 4 11:51:32 2020 Msieve v. 1.53 (SVN 988M) Thu Jun 4 11:51:32 2020 random seeds: 32ba6419 f6ab95c2 Thu Jun 4 11:51:32 2020 factoring 14612644437830970460202110002171204695320690083043919758197465639522742059517843285357411070356181255638862203420183827872556483103783392395109157613042899422071528346197446062448833952959393516949743192793938304534078762586411 (227 digits) Thu Jun 4 11:51:33 2020 searching for 15-digit factors Thu Jun 4 11:51:34 2020 commencing number field sieve (227-digit input) Thu Jun 4 11:51:34 2020 R0: 167883826163764944817996215305490271305728 Thu Jun 4 11:51:34 2020 R1: 1 Thu Jun 4 11:51:35 2020 A0: -62 Thu Jun 4 11:51:35 2020 A1: 0 Thu Jun 4 11:51:35 2020 A2: 0 Thu Jun 4 11:51:35 2020 A3: 0 Thu Jun 4 11:51:35 2020 A4: 0 Thu Jun 4 11:51:35 2020 A5: 0 Thu Jun 4 11:51:35 2020 A6: 1 Thu Jun 4 11:51:35 2020 skew 1.00, size 2.384e-12, alpha 2.205, combined = 2.139e-13 rroots = 2 Thu Jun 4 11:51:35 2020 Thu Jun 4 11:51:35 2020 commencing relation filtering Thu Jun 4 11:51:35 2020 setting target matrix density to 120.0 Thu Jun 4 11:51:35 2020 estimated available RAM is 32768.0 MB Thu Jun 4 11:51:35 2020 commencing duplicate removal, pass 1 Thu Jun 4 11:53:08 2020 error -1 reading relation 14392892 [8979 more error lines] Thu Jun 4 12:10:50 2020 error -5 reading relation 188846959 Thu Jun 4 12:11:37 2020 skipped 116 relations with b > 2^32 Thu Jun 4 12:11:37 2020 skipped 667 relations with composite factors Thu Jun 4 12:11:37 2020 found 8462655 hash collisions in 196395822 relations Thu Jun 4 12:11:48 2020 added 1218691 free relations Thu Jun 4 12:11:48 2020 commencing duplicate removal, pass 2 Thu Jun 4 12:13:08 2020 found 0 duplicates and 197614513 unique relations Thu Jun 4 12:13:08 2020 memory use: 522.4 MB Thu Jun 4 12:13:08 2020 reading ideals above 166264832 Thu Jun 4 12:13:08 2020 commencing singleton removal, initial pass Thu Jun 4 12:27:13 2020 memory use: 3012.0 MB Thu Jun 4 12:27:14 2020 reading all ideals from disk Thu Jun 4 12:28:38 2020 memory use: 3569.5 MB Thu Jun 4 12:28:45 2020 commencing in-memory singleton removal Thu Jun 4 12:28:51 2020 begin with 197614513 relations and 162377646 unique ideals Thu Jun 4 12:30:18 2020 reduce to 135032514 relations and 94012471 ideals in 14 passes Thu Jun 4 12:30:18 2020 max relations containing the same ideal: 42 Thu Jun 4 12:30:33 2020 reading ideals above 720000 Thu Jun 4 12:30:34 2020 commencing singleton removal, initial pass Thu Jun 4 12:43:33 2020 memory use: 3012.0 MB Thu Jun 4 12:43:34 2020 reading all ideals from disk Thu Jun 4 12:45:40 2020 memory use: 5375.6 MB Thu Jun 4 12:45:51 2020 keeping 111949844 ideals with weight <= 200, target excess is 667981 Thu Jun 4 12:46:04 2020 commencing in-memory singleton removal Thu Jun 4 12:46:13 2020 begin with 135032514 relations and 111949844 unique ideals Thu Jun 4 12:47:27 2020 reduce to 135029939 relations and 111947269 ideals in 7 passes Thu Jun 4 12:47:27 2020 max relations containing the same ideal: 200 Thu Jun 4 12:48:19 2020 removing 11073257 relations and 9073257 ideals in 2000000 cliques Thu Jun 4 12:48:23 2020 commencing in-memory singleton removal Thu Jun 4 12:48:32 2020 begin with 123956682 relations and 111947269 unique ideals Thu Jun 4 12:50:00 2020 reduce to 123205348 relations and 102107949 ideals in 9 passes Thu Jun 4 12:50:00 2020 max relations containing the same ideal: 195 Thu Jun 4 12:50:48 2020 removing 8511196 relations and 6511196 ideals in 2000000 cliques Thu Jun 4 12:50:51 2020 commencing in-memory singleton removal Thu Jun 4 12:50:59 2020 begin with 114694152 relations and 102107949 unique ideals Thu Jun 4 12:52:03 2020 reduce to 114191580 relations and 95085657 ideals in 7 passes Thu Jun 4 12:52:03 2020 max relations containing the same ideal: 189 Thu Jun 4 12:52:50 2020 removing 7746949 relations and 5746949 ideals in 2000000 cliques Thu Jun 4 12:52:53 2020 commencing in-memory singleton removal Thu Jun 4 12:53:00 2020 begin with 106444631 relations and 95085657 unique ideals Thu Jun 4 12:54:09 2020 reduce to 105996344 relations and 88882656 ideals in 8 passes Thu Jun 4 12:54:09 2020 max relations containing the same ideal: 183 Thu Jun 4 12:54:52 2020 removing 7373423 relations and 5373423 ideals in 2000000 cliques Thu Jun 4 12:54:55 2020 commencing in-memory singleton removal Thu Jun 4 12:55:02 2020 begin with 98622921 relations and 88882656 unique ideals Thu Jun 4 12:55:56 2020 reduce to 98196686 relations and 83075398 ideals in 7 passes Thu Jun 4 12:55:56 2020 max relations containing the same ideal: 173 Thu Jun 4 12:56:35 2020 removing 7152476 relations and 5152476 ideals in 2000000 cliques Thu Jun 4 12:56:37 2020 commencing in-memory singleton removal Thu Jun 4 12:56:43 2020 begin with 91044210 relations and 83075398 unique ideals Thu Jun 4 12:57:33 2020 reduce to 90617189 relations and 77488010 ideals in 7 passes Thu Jun 4 12:57:33 2020 max relations containing the same ideal: 165 Thu Jun 4 12:58:09 2020 removing 7015426 relations and 5015426 ideals in 2000000 cliques Thu Jun 4 12:58:12 2020 commencing in-memory singleton removal Thu Jun 4 12:58:18 2020 begin with 83601763 relations and 77488010 unique ideals Thu Jun 4 12:59:03 2020 reduce to 83163251 relations and 72025331 ideals in 7 passes Thu Jun 4 12:59:03 2020 max relations containing the same ideal: 156 Thu Jun 4 12:59:39 2020 removing 6937615 relations and 4937615 ideals in 2000000 cliques Thu Jun 4 12:59:41 2020 commencing in-memory singleton removal Thu Jun 4 12:59:46 2020 begin with 76225636 relations and 72025331 unique ideals Thu Jun 4 13:00:34 2020 reduce to 75769698 relations and 66621891 ideals in 8 passes Thu Jun 4 13:00:34 2020 max relations containing the same ideal: 147 Thu Jun 4 13:01:05 2020 removing 6895797 relations and 4895797 ideals in 2000000 cliques Thu Jun 4 13:01:07 2020 commencing in-memory singleton removal Thu Jun 4 13:01:11 2020 begin with 68873901 relations and 66621891 unique ideals Thu Jun 4 13:01:47 2020 reduce to 68385294 relations and 61226176 ideals in 7 passes Thu Jun 4 13:01:47 2020 max relations containing the same ideal: 135 Thu Jun 4 13:02:15 2020 removing 6883750 relations and 4883750 ideals in 2000000 cliques Thu Jun 4 13:02:17 2020 commencing in-memory singleton removal Thu Jun 4 13:02:21 2020 begin with 61501544 relations and 61226176 unique ideals Thu Jun 4 13:02:57 2020 reduce to 60970466 relations and 55797732 ideals in 8 passes Thu Jun 4 13:02:57 2020 max relations containing the same ideal: 128 Thu Jun 4 13:03:24 2020 removing 6899653 relations and 4899653 ideals in 2000000 cliques Thu Jun 4 13:03:26 2020 commencing in-memory singleton removal Thu Jun 4 13:03:30 2020 begin with 54070813 relations and 55797732 unique ideals Thu Jun 4 13:03:58 2020 reduce to 53476513 relations and 50286592 ideals in 7 passes Thu Jun 4 13:03:58 2020 max relations containing the same ideal: 113 Thu Jun 4 13:04:21 2020 removing 6935000 relations and 4935000 ideals in 2000000 cliques Thu Jun 4 13:04:23 2020 commencing in-memory singleton removal Thu Jun 4 13:04:26 2020 begin with 46541513 relations and 50286592 unique ideals Thu Jun 4 13:05:02 2020 reduce to 45854561 relations and 44642439 ideals in 11 passes Thu Jun 4 13:05:02 2020 max relations containing the same ideal: 104 Thu Jun 4 13:05:21 2020 removing 2085960 relations and 1648696 ideals in 437264 cliques Thu Jun 4 13:05:23 2020 commencing in-memory singleton removal Thu Jun 4 13:05:25 2020 begin with 43768601 relations and 44642439 unique ideals Thu Jun 4 13:05:45 2020 reduce to 43701946 relations and 42926481 ideals in 6 passes Thu Jun 4 13:05:45 2020 max relations containing the same ideal: 101 Thu Jun 4 13:06:09 2020 relations with 0 large ideals: 23729 Thu Jun 4 13:06:09 2020 relations with 1 large ideals: 6854 Thu Jun 4 13:06:09 2020 relations with 2 large ideals: 106287 Thu Jun 4 13:06:09 2020 relations with 3 large ideals: 784329 Thu Jun 4 13:06:09 2020 relations with 4 large ideals: 3135230 Thu Jun 4 13:06:09 2020 relations with 5 large ideals: 7514685 Thu Jun 4 13:06:09 2020 relations with 6 large ideals: 11274870 Thu Jun 4 13:06:09 2020 relations with 7+ large ideals: 20855962 Thu Jun 4 13:06:09 2020 commencing 2-way merge Thu Jun 4 13:06:36 2020 reduce to 29072156 relation sets and 28296691 unique ideals Thu Jun 4 13:06:36 2020 commencing full merge Thu Jun 4 13:28:54 2020 memory use: 1308.2 MB Thu Jun 4 13:28:54 2020 found 71870 cycles, need 6129181 Thu Jun 4 13:28:54 2020 too few cycles, matrix probably cannot build Thu Jun 4 13:44:11 2020 Thu Jun 4 13:44:11 2020 Thu Jun 4 13:44:11 2020 Msieve v. 1.53 (SVN 988M) Thu Jun 4 13:44:11 2020 random seeds: 7740467c 1ce5a38a Thu Jun 4 13:44:11 2020 factoring 14612644437830970460202110002171204695320690083043919758197465639522742059517843285357411070356181255638862203420183827872556483103783392395109157613042899422071528346197446062448833952959393516949743192793938304534078762586411 (227 digits) Thu Jun 4 13:44:11 2020 searching for 15-digit factors Thu Jun 4 13:44:13 2020 commencing number field sieve (227-digit input) Thu Jun 4 13:44:13 2020 R0: 167883826163764944817996215305490271305728 Thu Jun 4 13:44:13 2020 R1: 1 Thu Jun 4 13:44:13 2020 A0: -62 Thu Jun 4 13:44:13 2020 A1: 0 Thu Jun 4 13:44:13 2020 A2: 0 Thu Jun 4 13:44:13 2020 A3: 0 Thu Jun 4 13:44:13 2020 A4: 0 Thu Jun 4 13:44:13 2020 A5: 0 Thu Jun 4 13:44:13 2020 A6: 1 Thu Jun 4 13:44:13 2020 skew 1.00, size 2.384e-12, alpha 2.205, combined = 2.139e-13 rroots = 2 Thu Jun 4 13:44:13 2020 Thu Jun 4 13:44:13 2020 commencing relation filtering Thu Jun 4 13:44:13 2020 setting target matrix density to 112.0 Thu Jun 4 13:44:13 2020 estimated available RAM is 32768.0 MB Thu Jun 4 13:44:13 2020 commencing duplicate removal, pass 1 Thu Jun 4 13:45:36 2020 error -1 reading relation 14392892 [8979 more error lines] Thu Jun 4 14:02:56 2020 error -5 reading relation 188846959 Thu Jun 4 14:03:53 2020 skipped 116 relations with b > 2^32 Thu Jun 4 14:03:53 2020 skipped 667 relations with composite factors Thu Jun 4 14:03:53 2020 found 8564364 hash collisions in 197614513 relations Thu Jun 4 14:04:02 2020 commencing duplicate removal, pass 2 Thu Jun 4 14:04:47 2020 found 0 duplicates and 197614513 unique relations Thu Jun 4 14:04:47 2020 memory use: 522.4 MB Thu Jun 4 14:04:47 2020 reading ideals above 166264832 Thu Jun 4 14:04:47 2020 commencing singleton removal, initial pass Thu Jun 4 14:18:57 2020 memory use: 3012.0 MB Thu Jun 4 14:18:58 2020 reading all ideals from disk Thu Jun 4 14:20:21 2020 memory use: 3569.5 MB Thu Jun 4 14:20:28 2020 commencing in-memory singleton removal Thu Jun 4 14:20:35 2020 begin with 197614513 relations and 162377646 unique ideals Thu Jun 4 14:22:00 2020 reduce to 135032514 relations and 94012471 ideals in 14 passes Thu Jun 4 14:22:00 2020 max relations containing the same ideal: 42 Thu Jun 4 14:22:16 2020 reading ideals above 720000 Thu Jun 4 14:22:16 2020 commencing singleton removal, initial pass Thu Jun 4 14:35:25 2020 memory use: 3012.0 MB Thu Jun 4 14:35:25 2020 reading all ideals from disk Thu Jun 4 14:37:31 2020 memory use: 5375.6 MB Thu Jun 4 14:37:42 2020 keeping 111949844 ideals with weight <= 200, target excess is 667981 Thu Jun 4 14:37:54 2020 commencing in-memory singleton removal Thu Jun 4 14:38:04 2020 begin with 135032514 relations and 111949844 unique ideals Thu Jun 4 14:39:16 2020 reduce to 135029939 relations and 111947269 ideals in 7 passes Thu Jun 4 14:39:16 2020 max relations containing the same ideal: 200 Thu Jun 4 14:40:07 2020 removing 11073257 relations and 9073257 ideals in 2000000 cliques Thu Jun 4 14:40:10 2020 commencing in-memory singleton removal Thu Jun 4 14:40:19 2020 begin with 123956682 relations and 111947269 unique ideals Thu Jun 4 14:41:44 2020 reduce to 123205348 relations and 102107949 ideals in 9 passes Thu Jun 4 14:41:44 2020 max relations containing the same ideal: 195 Thu Jun 4 14:42:31 2020 removing 8511196 relations and 6511196 ideals in 2000000 cliques Thu Jun 4 14:42:34 2020 commencing in-memory singleton removal Thu Jun 4 14:42:42 2020 begin with 114694152 relations and 102107949 unique ideals Thu Jun 4 14:43:43 2020 reduce to 114191580 relations and 95085657 ideals in 7 passes Thu Jun 4 14:43:43 2020 max relations containing the same ideal: 189 Thu Jun 4 14:44:27 2020 removing 7746949 relations and 5746949 ideals in 2000000 cliques Thu Jun 4 14:44:30 2020 commencing in-memory singleton removal Thu Jun 4 14:44:37 2020 begin with 106444631 relations and 95085657 unique ideals Thu Jun 4 14:45:41 2020 reduce to 105996344 relations and 88882656 ideals in 8 passes Thu Jun 4 14:45:41 2020 max relations containing the same ideal: 183 Thu Jun 4 14:46:21 2020 removing 7373423 relations and 5373423 ideals in 2000000 cliques Thu Jun 4 14:46:24 2020 commencing in-memory singleton removal Thu Jun 4 14:46:31 2020 begin with 98622921 relations and 88882656 unique ideals Thu Jun 4 14:47:22 2020 reduce to 98196686 relations and 83075398 ideals in 7 passes Thu Jun 4 14:47:22 2020 max relations containing the same ideal: 173 Thu Jun 4 14:48:00 2020 removing 7152476 relations and 5152476 ideals in 2000000 cliques Thu Jun 4 14:48:03 2020 commencing in-memory singleton removal Thu Jun 4 14:48:09 2020 begin with 91044210 relations and 83075398 unique ideals Thu Jun 4 14:48:57 2020 reduce to 90617189 relations and 77488010 ideals in 7 passes Thu Jun 4 14:48:57 2020 max relations containing the same ideal: 165 Thu Jun 4 14:49:33 2020 removing 7015426 relations and 5015426 ideals in 2000000 cliques Thu Jun 4 14:49:36 2020 commencing in-memory singleton removal Thu Jun 4 14:49:41 2020 begin with 83601763 relations and 77488010 unique ideals Thu Jun 4 14:50:25 2020 reduce to 83163251 relations and 72025331 ideals in 7 passes Thu Jun 4 14:50:25 2020 max relations containing the same ideal: 156 Thu Jun 4 14:50:59 2020 removing 6937615 relations and 4937615 ideals in 2000000 cliques Thu Jun 4 14:51:01 2020 commencing in-memory singleton removal Thu Jun 4 14:51:06 2020 begin with 76225636 relations and 72025331 unique ideals Thu Jun 4 14:51:52 2020 reduce to 75769698 relations and 66621891 ideals in 8 passes Thu Jun 4 14:51:52 2020 max relations containing the same ideal: 147 Thu Jun 4 14:52:23 2020 removing 6895797 relations and 4895797 ideals in 2000000 cliques Thu Jun 4 14:52:25 2020 commencing in-memory singleton removal Thu Jun 4 14:52:29 2020 begin with 68873901 relations and 66621891 unique ideals Thu Jun 4 14:53:04 2020 reduce to 68385294 relations and 61226176 ideals in 7 passes Thu Jun 4 14:53:04 2020 max relations containing the same ideal: 135 Thu Jun 4 14:53:31 2020 removing 6883750 relations and 4883750 ideals in 2000000 cliques Thu Jun 4 14:53:34 2020 commencing in-memory singleton removal Thu Jun 4 14:53:38 2020 begin with 61501544 relations and 61226176 unique ideals Thu Jun 4 14:54:14 2020 reduce to 60970466 relations and 55797732 ideals in 8 passes Thu Jun 4 14:54:14 2020 max relations containing the same ideal: 128 Thu Jun 4 14:54:40 2020 removing 6899653 relations and 4899653 ideals in 2000000 cliques Thu Jun 4 14:54:42 2020 commencing in-memory singleton removal Thu Jun 4 14:54:46 2020 begin with 54070813 relations and 55797732 unique ideals Thu Jun 4 14:55:13 2020 reduce to 53476513 relations and 50286592 ideals in 7 passes Thu Jun 4 14:55:13 2020 max relations containing the same ideal: 113 Thu Jun 4 14:55:36 2020 removing 6935000 relations and 4935000 ideals in 2000000 cliques Thu Jun 4 14:55:38 2020 commencing in-memory singleton removal Thu Jun 4 14:55:42 2020 begin with 46541513 relations and 50286592 unique ideals Thu Jun 4 14:56:18 2020 reduce to 45854561 relations and 44642439 ideals in 11 passes Thu Jun 4 14:56:18 2020 max relations containing the same ideal: 104 Thu Jun 4 14:56:37 2020 removing 2085960 relations and 1648696 ideals in 437264 cliques Thu Jun 4 14:56:39 2020 commencing in-memory singleton removal Thu Jun 4 14:56:41 2020 begin with 43768601 relations and 44642439 unique ideals Thu Jun 4 14:57:00 2020 reduce to 43701946 relations and 42926481 ideals in 6 passes Thu Jun 4 14:57:00 2020 max relations containing the same ideal: 101 Thu Jun 4 14:57:23 2020 relations with 0 large ideals: 23729 Thu Jun 4 14:57:23 2020 relations with 1 large ideals: 6854 Thu Jun 4 14:57:23 2020 relations with 2 large ideals: 106287 Thu Jun 4 14:57:23 2020 relations with 3 large ideals: 784329 Thu Jun 4 14:57:23 2020 relations with 4 large ideals: 3135230 Thu Jun 4 14:57:23 2020 relations with 5 large ideals: 7514685 Thu Jun 4 14:57:23 2020 relations with 6 large ideals: 11274870 Thu Jun 4 14:57:23 2020 relations with 7+ large ideals: 20855962 Thu Jun 4 14:57:23 2020 commencing 2-way merge Thu Jun 4 14:57:48 2020 reduce to 29072156 relation sets and 28296691 unique ideals Thu Jun 4 14:57:48 2020 commencing full merge Thu Jun 4 15:08:46 2020 memory use: 3715.7 MB Thu Jun 4 15:08:52 2020 found 13220430 cycles, need 13178891 Thu Jun 4 15:08:53 2020 weight of 13178891 cycles is about 1476454341 (112.03/cycle) Thu Jun 4 15:08:53 2020 distribution of cycle lengths: Thu Jun 4 15:08:53 2020 1 relations: 667562 Thu Jun 4 15:08:53 2020 2 relations: 889572 Thu Jun 4 15:08:53 2020 3 relations: 994174 Thu Jun 4 15:08:53 2020 4 relations: 1006737 Thu Jun 4 15:08:53 2020 5 relations: 1011148 Thu Jun 4 15:08:53 2020 6 relations: 977338 Thu Jun 4 15:08:53 2020 7 relations: 946934 Thu Jun 4 15:08:53 2020 8 relations: 891870 Thu Jun 4 15:08:53 2020 9 relations: 834193 Thu Jun 4 15:08:53 2020 10+ relations: 4959363 Thu Jun 4 15:08:53 2020 heaviest cycle: 28 relations Thu Jun 4 15:08:59 2020 commencing cycle optimization Thu Jun 4 15:09:29 2020 start with 112320049 relations Thu Jun 4 15:14:31 2020 pruned 5004391 relations Thu Jun 4 15:14:31 2020 memory use: 2975.2 MB Thu Jun 4 15:14:31 2020 distribution of cycle lengths: Thu Jun 4 15:14:31 2020 1 relations: 667562 Thu Jun 4 15:14:31 2020 2 relations: 911558 Thu Jun 4 15:14:31 2020 3 relations: 1036590 Thu Jun 4 15:14:31 2020 4 relations: 1048690 Thu Jun 4 15:14:31 2020 5 relations: 1059964 Thu Jun 4 15:14:31 2020 6 relations: 1023521 Thu Jun 4 15:14:31 2020 7 relations: 992810 Thu Jun 4 15:14:31 2020 8 relations: 930536 Thu Jun 4 15:14:31 2020 9 relations: 868043 Thu Jun 4 15:14:31 2020 10+ relations: 4639617 Thu Jun 4 15:14:31 2020 heaviest cycle: 28 relations Thu Jun 4 15:15:12 2020 RelProcTime: 5459 Thu Jun 4 15:15:13 2020 Thu Jun 4 15:15:13 2020 commencing linear algebra Thu Jun 4 15:15:15 2020 read 13178891 cycles Thu Jun 4 15:15:44 2020 cycles contain 43289960 unique relations Thu Jun 4 15:22:49 2020 read 43289960 relations Thu Jun 4 15:24:24 2020 using 20 quadratic characters above 4294917295 Thu Jun 4 15:26:56 2020 building initial matrix Thu Jun 4 15:34:38 2020 memory use: 5461.1 MB Thu Jun 4 15:37:04 2020 read 13178891 cycles Thu Jun 4 15:37:06 2020 matrix is 13178714 x 13178891 (5828.1 MB) with weight 1684258638 (127.80/col) Thu Jun 4 15:37:06 2020 sparse part has weight 1382828669 (104.93/col) Thu Jun 4 15:39:17 2020 filtering completed in 2 passes Thu Jun 4 15:39:19 2020 matrix is 13178463 x 13178640 (5828.1 MB) with weight 1684250511 (127.80/col) Thu Jun 4 15:39:19 2020 sparse part has weight 1382826322 (104.93/col) Thu Jun 4 15:42:07 2020 matrix starts at (0, 0) Thu Jun 4 15:42:09 2020 matrix is 13178463 x 13178640 (5828.1 MB) with weight 1684250511 (127.80/col) Thu Jun 4 15:42:09 2020 sparse part has weight 1382826322 (104.93/col) Thu Jun 4 15:42:09 2020 saving the first 48 matrix rows for later Thu Jun 4 15:42:11 2020 matrix includes 64 packed rows Thu Jun 4 15:42:12 2020 matrix is 13178415 x 13178640 (5619.7 MB) with weight 1444766555 (109.63/col) Thu Jun 4 15:42:12 2020 sparse part has weight 1341377176 (101.78/col) Thu Jun 4 15:42:12 2020 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB Thu Jun 4 15:43:22 2020 commencing Lanczos iteration (16 threads) Thu Jun 4 15:43:22 2020 memory use: 4802.2 MB Thu Jun 4 15:43:38 2020 linear algebra at 0.0%, ETA 36h14m Thu Jun 4 15:43:43 2020 checkpointing every 370000 dimensions Fri Jun 5 12:16:53 2020 Fri Jun 5 12:16:53 2020 Fri Jun 5 12:16:53 2020 Msieve v. 1.53 (SVN 988M) Fri Jun 5 12:16:53 2020 random seeds: 5aee5597 81950dd3 Fri Jun 5 12:16:53 2020 factoring 14612644437830970460202110002171204695320690083043919758197465639522742059517843285357411070356181255638862203420183827872556483103783392395109157613042899422071528346197446062448833952959393516949743192793938304534078762586411 (227 digits) Fri Jun 5 12:16:54 2020 searching for 15-digit factors Fri Jun 5 12:16:55 2020 commencing number field sieve (227-digit input) Fri Jun 5 12:16:55 2020 R0: 167883826163764944817996215305490271305728 Fri Jun 5 12:16:55 2020 R1: 1 Fri Jun 5 12:16:55 2020 A0: -62 Fri Jun 5 12:16:55 2020 A1: 0 Fri Jun 5 12:16:55 2020 A2: 0 Fri Jun 5 12:16:55 2020 A3: 0 Fri Jun 5 12:16:55 2020 A4: 0 Fri Jun 5 12:16:55 2020 A5: 0 Fri Jun 5 12:16:55 2020 A6: 1 Fri Jun 5 12:16:55 2020 skew 1.00, size 2.384e-12, alpha 2.205, combined = 2.139e-13 rroots = 2 Fri Jun 5 12:16:55 2020 Fri Jun 5 12:16:55 2020 commencing linear algebra Fri Jun 5 12:19:03 2020 matrix starts at (0, 0) Fri Jun 5 12:19:04 2020 matrix is 13178463 x 13178640 (5828.1 MB) with weight 1684250511 (127.80/col) Fri Jun 5 12:19:04 2020 sparse part has weight 1382826322 (104.93/col) Fri Jun 5 12:19:04 2020 saving the first 48 matrix rows for later Fri Jun 5 12:19:06 2020 matrix includes 64 packed rows Fri Jun 5 12:19:07 2020 matrix is 13178415 x 13178640 (5619.7 MB) with weight 1444766555 (109.63/col) Fri Jun 5 12:19:07 2020 sparse part has weight 1341377176 (101.78/col) Fri Jun 5 12:19:07 2020 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB Fri Jun 5 12:20:21 2020 commencing Lanczos iteration (16 threads) Fri Jun 5 12:20:21 2020 memory use: 4802.2 MB Fri Jun 5 12:20:33 2020 restarting at iteration 23403 (dim = 1480049) Fri Jun 5 12:20:47 2020 linear algebra at 11.2%, ETA 30h 5m Fri Jun 5 12:20:51 2020 checkpointing every 400000 dimensions Sat Jun 6 19:12:44 2020 lanczos halted after 208409 iterations (dim = 13178412) Sat Jun 6 19:12:55 2020 recovered 37 nontrivial dependencies Sat Jun 6 19:13:00 2020 BLanczosTime: 111365 Sat Jun 6 19:13:00 2020 Sat Jun 6 19:13:00 2020 commencing square root phase Sat Jun 6 19:13:00 2020 reading relations for dependency 1 Sat Jun 6 19:13:11 2020 read 6588302 cycles Sat Jun 6 19:13:24 2020 cycles contain 21641306 unique relations Sat Jun 6 19:21:36 2020 read 21641306 relations Sat Jun 6 19:23:02 2020 multiplying 21641306 relations Sat Jun 6 19:34:55 2020 multiply complete, coefficients have about 553.65 million bits Sat Jun 6 19:34:56 2020 initial square root is modulo 92707 Sat Jun 6 19:47:11 2020 GCD is 1, no factor found Sat Jun 6 19:47:11 2020 reading relations for dependency 2 Sat Jun 6 19:47:25 2020 read 6589913 cycles Sat Jun 6 19:47:38 2020 cycles contain 21643510 unique relations Sat Jun 6 19:55:50 2020 read 21643510 relations Sat Jun 6 19:57:16 2020 multiplying 21643510 relations Sat Jun 6 20:09:12 2020 multiply complete, coefficients have about 553.70 million bits Sat Jun 6 20:09:14 2020 initial square root is modulo 92821 Sat Jun 6 20:21:28 2020 found factor: 12731853130546805087944038598707807100768867851497895447545660448313054815881418313 Sat Jun 6 20:21:28 2020 reading relations for dependency 3 Sat Jun 6 20:21:41 2020 read 6587619 cycles Sat Jun 6 20:21:54 2020 cycles contain 21643396 unique relations Sat Jun 6 20:30:06 2020 read 21643396 relations Sat Jun 6 20:31:32 2020 multiplying 21643396 relations Sat Jun 6 20:43:36 2020 multiply complete, coefficients have about 553.70 million bits Sat Jun 6 20:43:37 2020 initial square root is modulo 92821 Sat Jun 6 20:55:58 2020 GCD is N, no factor found Sat Jun 6 20:55:58 2020 reading relations for dependency 4 Sat Jun 6 20:56:11 2020 read 6590194 cycles Sat Jun 6 20:56:24 2020 cycles contain 21651426 unique relations Sat Jun 6 21:04:36 2020 read 21651426 relations Sat Jun 6 21:06:03 2020 multiplying 21651426 relations Sat Jun 6 21:18:05 2020 multiply complete, coefficients have about 553.91 million bits Sat Jun 6 21:18:06 2020 initial square root is modulo 93241 Sat Jun 6 21:30:29 2020 sqrtTime: 8249 Sat Jun 6 21:30:29 2020 p57 factor: 233753256065884194002050016217433131240114323138029893281 Sat Jun 6 21:30:29 2020 p83 factor: 12731853130546805087944038598707807100768867851497895447545660448313054815881418313 Sat Jun 6 21:30:29 2020 p88 factor: 4909977791156945069252860170556563951831076979619056320559893942658084300241781643993587 Sat Jun 6 21:30:29 2020 elapsed time 33:13:36