Wed Apr 9 09:01:27 2025 Wed Apr 9 09:01:27 2025 Wed Apr 9 09:01:27 2025 Msieve v. 1.54 (SVN Unversioned directory) Wed Apr 9 09:01:27 2025 random seeds: e05be137 363c89f1 Wed Apr 9 09:01:27 2025 MPI process 0 of 1 Wed Apr 9 09:01:27 2025 Using 32 OpenMP threads Wed Apr 9 09:01:27 2025 factoring 622060896837417236373925725669150874797382616780264452883923459647010302274142925402132533930824122258518804157281850643228240369684064524355414756903718420568203647 (165 digits) Wed Apr 9 09:01:27 2025 searching for 15-digit factors Wed Apr 9 09:01:28 2025 commencing number field sieve (165-digit input) Wed Apr 9 09:01:28 2025 R0: -92866738132085583496031847921094 Wed Apr 9 09:01:28 2025 R1: 7735074851663479 Wed Apr 9 09:01:28 2025 A0: 420654800278261499801235916210201795875 Wed Apr 9 09:01:28 2025 A1: -1519574486351271950216516607332591 Wed Apr 9 09:01:28 2025 A2: -504863995041943917383334715 Wed Apr 9 09:01:28 2025 A3: -94189517579161212261 Wed Apr 9 09:01:28 2025 A4: 4079898101600 Wed Apr 9 09:01:28 2025 A5: 90060 Wed Apr 9 09:01:28 2025 skew 12876930.18, size 4.252e-16, alpha -6.861, combined = 6.793e-13 rroots = 3 Wed Apr 9 09:01:28 2025 Wed Apr 9 09:01:28 2025 commencing relation filtering Wed Apr 9 09:01:28 2025 setting target matrix density to 130.0 Wed Apr 9 09:01:28 2025 estimated available RAM is 257736.5 MB Wed Apr 9 09:01:28 2025 commencing duplicate removal, pass 1 Wed Apr 9 09:03:31 2025 error -1 reading relation 42988611 Wed Apr 9 09:03:32 2025 error -1 reading relation 43231297 Wed Apr 9 09:03:32 2025 error -1 reading relation 43277209 Wed Apr 9 09:04:28 2025 error -1 reading relation 62631013 Wed Apr 9 09:04:28 2025 error -1 reading relation 62674129 Wed Apr 9 09:06:49 2025 error -1 reading relation 110659005 Wed Apr 9 09:06:50 2025 error -1 reading relation 111113516 Wed Apr 9 09:06:51 2025 error -1 reading relation 111613149 Wed Apr 9 09:07:02 2025 error -1 reading relation 115201582 Wed Apr 9 09:07:48 2025 error -1 reading relation 131792598 Wed Apr 9 09:13:52 2025 skipped 99 malformed relations Wed Apr 9 09:13:52 2025 found 48106530 hash collisions in 276216971 relations Wed Apr 9 09:14:15 2025 added 121982 free relations Wed Apr 9 09:14:15 2025 commencing duplicate removal, pass 2 Wed Apr 9 09:20:34 2025 found 48713710 duplicates and 227625243 unique relations Wed Apr 9 09:20:34 2025 memory use: 1577.5 MB Wed Apr 9 09:20:34 2025 reading ideals above 720000 Wed Apr 9 09:20:34 2025 commencing singleton removal, initial pass Wed Apr 9 09:43:20 2025 memory use: 6024.0 MB Wed Apr 9 09:43:21 2025 reading all ideals from disk Wed Apr 9 09:43:26 2025 memory use: 10437.6 MB Wed Apr 9 09:43:57 2025 keeping 224069833 ideals with weight <= 200, target excess is 1099388 Wed Apr 9 09:44:39 2025 commencing in-memory singleton removal Wed Apr 9 09:44:44 2025 begin with 227625243 relations and 224069833 unique ideals Wed Apr 9 09:45:03 2025 reduce to 117764994 relations and 99821593 ideals in 16 passes Wed Apr 9 09:45:03 2025 max relations containing the same ideal: 138 Wed Apr 9 09:46:57 2025 removing 12615109 relations and 10615109 ideals in 2000000 cliques Wed Apr 9 09:47:06 2025 commencing in-memory singleton removal Wed Apr 9 09:47:08 2025 begin with 105149885 relations and 99821593 unique ideals Wed Apr 9 09:47:17 2025 reduce to 104085696 relations and 88118860 ideals in 10 passes Wed Apr 9 09:47:17 2025 max relations containing the same ideal: 126 Wed Apr 9 09:48:07 2025 removing 9623959 relations and 7623959 ideals in 2000000 cliques Wed Apr 9 09:48:12 2025 commencing in-memory singleton removal Wed Apr 9 09:48:14 2025 begin with 94461737 relations and 88118860 unique ideals Wed Apr 9 09:48:21 2025 reduce to 93729739 relations and 79748494 ideals in 9 passes Wed Apr 9 09:48:21 2025 max relations containing the same ideal: 118 Wed Apr 9 09:49:15 2025 removing 8732110 relations and 6732110 ideals in 2000000 cliques Wed Apr 9 09:49:20 2025 commencing in-memory singleton removal Wed Apr 9 09:49:22 2025 begin with 84997629 relations and 79748494 unique ideals Wed Apr 9 09:49:28 2025 reduce to 84323635 relations and 72328523 ideals in 8 passes Wed Apr 9 09:49:28 2025 max relations containing the same ideal: 112 Wed Apr 9 09:50:05 2025 removing 8303329 relations and 6303329 ideals in 2000000 cliques Wed Apr 9 09:50:08 2025 commencing in-memory singleton removal Wed Apr 9 09:50:10 2025 begin with 76020306 relations and 72328523 unique ideals Wed Apr 9 09:50:15 2025 reduce to 75346144 relations and 65336087 ideals in 9 passes Wed Apr 9 09:50:15 2025 max relations containing the same ideal: 101 Wed Apr 9 09:50:47 2025 removing 8069404 relations and 6069404 ideals in 2000000 cliques Wed Apr 9 09:50:50 2025 commencing in-memory singleton removal Wed Apr 9 09:50:52 2025 begin with 67276740 relations and 65336087 unique ideals Wed Apr 9 09:50:56 2025 reduce to 66562735 relations and 58535588 ideals in 10 passes Wed Apr 9 09:50:56 2025 max relations containing the same ideal: 95 Wed Apr 9 09:51:32 2025 removing 7961387 relations and 5961387 ideals in 2000000 cliques Wed Apr 9 09:51:35 2025 commencing in-memory singleton removal Wed Apr 9 09:51:36 2025 begin with 58601348 relations and 58535588 unique ideals Wed Apr 9 09:51:40 2025 reduce to 57814882 relations and 51766967 ideals in 9 passes Wed Apr 9 09:51:40 2025 max relations containing the same ideal: 87 Wed Apr 9 09:52:07 2025 removing 7932210 relations and 5932210 ideals in 2000000 cliques Wed Apr 9 09:52:10 2025 commencing in-memory singleton removal Wed Apr 9 09:52:11 2025 begin with 49882672 relations and 51766967 unique ideals Wed Apr 9 09:52:15 2025 reduce to 48974491 relations and 44898810 ideals in 11 passes Wed Apr 9 09:52:15 2025 max relations containing the same ideal: 79 Wed Apr 9 09:52:38 2025 removing 7994154 relations and 5994154 ideals in 2000000 cliques Wed Apr 9 09:52:41 2025 commencing in-memory singleton removal Wed Apr 9 09:52:42 2025 begin with 40980337 relations and 44898810 unique ideals Wed Apr 9 09:52:44 2025 reduce to 39869103 relations and 37753067 ideals in 10 passes Wed Apr 9 09:52:44 2025 max relations containing the same ideal: 69 Wed Apr 9 09:53:07 2025 removing 4230719 relations and 3389974 ideals in 840745 cliques Wed Apr 9 09:53:09 2025 commencing in-memory singleton removal Wed Apr 9 09:53:10 2025 begin with 35638384 relations and 37753067 unique ideals Wed Apr 9 09:53:12 2025 reduce to 35284851 relations and 34002868 ideals in 8 passes Wed Apr 9 09:53:12 2025 max relations containing the same ideal: 61 Wed Apr 9 09:53:33 2025 relations with 0 large ideals: 3969 Wed Apr 9 09:53:33 2025 relations with 1 large ideals: 36321 Wed Apr 9 09:53:33 2025 relations with 2 large ideals: 450011 Wed Apr 9 09:53:33 2025 relations with 3 large ideals: 2319331 Wed Apr 9 09:53:33 2025 relations with 4 large ideals: 6268593 Wed Apr 9 09:53:33 2025 relations with 5 large ideals: 9798770 Wed Apr 9 09:53:33 2025 relations with 6 large ideals: 9213885 Wed Apr 9 09:53:33 2025 relations with 7+ large ideals: 7193971 Wed Apr 9 09:53:33 2025 commencing 2-way merge Wed Apr 9 09:53:56 2025 reduce to 20861114 relation sets and 19579131 unique ideals Wed Apr 9 09:53:56 2025 commencing full merge Wed Apr 9 10:08:21 2025 memory use: 926.4 MB Wed Apr 9 10:08:21 2025 found 214344 cycles, need 4795588 Wed Apr 9 10:08:21 2025 too few cycles, matrix probably cannot build Wed Apr 9 10:08:21 2025 filtering wants 1000000 more relations Wed Apr 9 10:08:21 2025 elapsed time 01:06:54 Wed Apr 9 11:00:53 2025 Wed Apr 9 11:00:53 2025 Wed Apr 9 11:00:53 2025 Msieve v. 1.54 (SVN Unversioned directory) Wed Apr 9 11:00:53 2025 random seeds: 7f468458 1c1d98fd Wed Apr 9 11:00:53 2025 MPI process 0 of 1 Wed Apr 9 11:00:53 2025 Using 32 OpenMP threads Wed Apr 9 11:00:53 2025 factoring 622060896837417236373925725669150874797382616780264452883923459647010302274142925402132533930824122258518804157281850643228240369684064524355414756903718420568203647 (165 digits) Wed Apr 9 11:00:54 2025 searching for 15-digit factors Wed Apr 9 11:00:54 2025 commencing number field sieve (165-digit input) Wed Apr 9 11:00:54 2025 R0: -92866738132085583496031847921094 Wed Apr 9 11:00:54 2025 R1: 7735074851663479 Wed Apr 9 11:00:54 2025 A0: 420654800278261499801235916210201795875 Wed Apr 9 11:00:54 2025 A1: -1519574486351271950216516607332591 Wed Apr 9 11:00:54 2025 A2: -504863995041943917383334715 Wed Apr 9 11:00:54 2025 A3: -94189517579161212261 Wed Apr 9 11:00:54 2025 A4: 4079898101600 Wed Apr 9 11:00:54 2025 A5: 90060 Wed Apr 9 11:00:54 2025 skew 12876930.18, size 4.252e-16, alpha -6.861, combined = 6.793e-13 rroots = 3 Wed Apr 9 11:00:54 2025 Wed Apr 9 11:00:54 2025 commencing relation filtering Wed Apr 9 11:00:54 2025 setting target matrix density to 120.0 Wed Apr 9 11:00:54 2025 estimated available RAM is 257736.5 MB Wed Apr 9 11:00:54 2025 commencing duplicate removal, pass 1 Wed Apr 9 11:02:53 2025 error -1 reading relation 42988611 Wed Apr 9 11:02:53 2025 error -1 reading relation 43231297 Wed Apr 9 11:02:54 2025 error -1 reading relation 43277209 Wed Apr 9 11:03:51 2025 error -1 reading relation 62631013 Wed Apr 9 11:03:51 2025 error -1 reading relation 62674129 Wed Apr 9 11:06:09 2025 error -1 reading relation 110659005 Wed Apr 9 11:06:10 2025 error -1 reading relation 111113516 Wed Apr 9 11:06:11 2025 error -1 reading relation 111613149 Wed Apr 9 11:06:21 2025 error -1 reading relation 115201582 Wed Apr 9 11:07:10 2025 error -1 reading relation 131792598 Wed Apr 9 11:13:57 2025 skipped 99 malformed relations Wed Apr 9 11:13:57 2025 found 48111621 hash collisions in 276338953 relations Wed Apr 9 11:14:25 2025 commencing duplicate removal, pass 2 Wed Apr 9 11:21:26 2025 found 48713710 duplicates and 227625243 unique relations Wed Apr 9 11:21:26 2025 memory use: 1577.5 MB Wed Apr 9 11:21:26 2025 reading ideals above 720000 Wed Apr 9 11:21:27 2025 commencing singleton removal, initial pass Wed Apr 9 11:42:25 2025 memory use: 6024.0 MB Wed Apr 9 11:42:25 2025 reading all ideals from disk Wed Apr 9 11:42:31 2025 memory use: 10437.6 MB Wed Apr 9 11:43:02 2025 keeping 224069833 ideals with weight <= 200, target excess is 1099388 Wed Apr 9 11:43:39 2025 commencing in-memory singleton removal Wed Apr 9 11:43:45 2025 begin with 227625243 relations and 224069833 unique ideals Wed Apr 9 11:44:05 2025 reduce to 117764994 relations and 99821593 ideals in 16 passes Wed Apr 9 11:44:05 2025 max relations containing the same ideal: 138 Wed Apr 9 11:45:02 2025 removing 12615109 relations and 10615109 ideals in 2000000 cliques Wed Apr 9 11:45:07 2025 commencing in-memory singleton removal Wed Apr 9 11:45:09 2025 begin with 105149885 relations and 99821593 unique ideals Wed Apr 9 11:45:17 2025 reduce to 104085696 relations and 88118860 ideals in 9 passes Wed Apr 9 11:45:17 2025 max relations containing the same ideal: 126 Wed Apr 9 11:46:08 2025 removing 9623959 relations and 7623959 ideals in 2000000 cliques Wed Apr 9 11:46:15 2025 commencing in-memory singleton removal Wed Apr 9 11:46:16 2025 begin with 94461737 relations and 88118860 unique ideals Wed Apr 9 11:46:24 2025 reduce to 93729739 relations and 79748494 ideals in 9 passes Wed Apr 9 11:46:24 2025 max relations containing the same ideal: 118 Wed Apr 9 11:47:17 2025 removing 8732110 relations and 6732110 ideals in 2000000 cliques Wed Apr 9 11:47:23 2025 commencing in-memory singleton removal Wed Apr 9 11:47:25 2025 begin with 84997629 relations and 79748494 unique ideals Wed Apr 9 11:47:31 2025 reduce to 84323635 relations and 72328523 ideals in 8 passes Wed Apr 9 11:47:31 2025 max relations containing the same ideal: 112 Wed Apr 9 11:48:27 2025 removing 8303329 relations and 6303329 ideals in 2000000 cliques Wed Apr 9 11:48:32 2025 commencing in-memory singleton removal Wed Apr 9 11:48:34 2025 begin with 76020306 relations and 72328523 unique ideals Wed Apr 9 11:48:39 2025 reduce to 75346144 relations and 65336087 ideals in 8 passes Wed Apr 9 11:48:39 2025 max relations containing the same ideal: 101 Wed Apr 9 11:49:26 2025 removing 8069404 relations and 6069404 ideals in 2000000 cliques Wed Apr 9 11:49:30 2025 commencing in-memory singleton removal Wed Apr 9 11:49:32 2025 begin with 67276740 relations and 65336087 unique ideals Wed Apr 9 11:49:37 2025 reduce to 66562735 relations and 58535588 ideals in 9 passes Wed Apr 9 11:49:37 2025 max relations containing the same ideal: 95 Wed Apr 9 11:50:21 2025 removing 7961387 relations and 5961387 ideals in 2000000 cliques Wed Apr 9 11:50:26 2025 commencing in-memory singleton removal Wed Apr 9 11:50:27 2025 begin with 58601348 relations and 58535588 unique ideals Wed Apr 9 11:50:31 2025 reduce to 57814882 relations and 51766967 ideals in 8 passes Wed Apr 9 11:50:31 2025 max relations containing the same ideal: 87 Wed Apr 9 11:51:03 2025 removing 7932210 relations and 5932210 ideals in 2000000 cliques Wed Apr 9 11:51:07 2025 commencing in-memory singleton removal Wed Apr 9 11:51:08 2025 begin with 49882672 relations and 51766967 unique ideals Wed Apr 9 11:51:11 2025 reduce to 48974491 relations and 44898810 ideals in 10 passes Wed Apr 9 11:51:11 2025 max relations containing the same ideal: 79 Wed Apr 9 11:51:41 2025 removing 7994154 relations and 5994154 ideals in 2000000 cliques Wed Apr 9 11:51:44 2025 commencing in-memory singleton removal Wed Apr 9 11:51:45 2025 begin with 40980337 relations and 44898810 unique ideals Wed Apr 9 11:51:48 2025 reduce to 39869103 relations and 37753067 ideals in 10 passes Wed Apr 9 11:51:48 2025 max relations containing the same ideal: 69 Wed Apr 9 11:52:13 2025 removing 4230719 relations and 3389974 ideals in 840745 cliques Wed Apr 9 11:52:15 2025 commencing in-memory singleton removal Wed Apr 9 11:52:16 2025 begin with 35638384 relations and 37753067 unique ideals Wed Apr 9 11:52:18 2025 reduce to 35284851 relations and 34002868 ideals in 9 passes Wed Apr 9 11:52:18 2025 max relations containing the same ideal: 61 Wed Apr 9 11:52:43 2025 relations with 0 large ideals: 3969 Wed Apr 9 11:52:43 2025 relations with 1 large ideals: 36321 Wed Apr 9 11:52:43 2025 relations with 2 large ideals: 450011 Wed Apr 9 11:52:43 2025 relations with 3 large ideals: 2319331 Wed Apr 9 11:52:43 2025 relations with 4 large ideals: 6268593 Wed Apr 9 11:52:43 2025 relations with 5 large ideals: 9798770 Wed Apr 9 11:52:43 2025 relations with 6 large ideals: 9213885 Wed Apr 9 11:52:43 2025 relations with 7+ large ideals: 7193971 Wed Apr 9 11:52:43 2025 commencing 2-way merge Wed Apr 9 11:53:09 2025 reduce to 20861114 relation sets and 19579131 unique ideals Wed Apr 9 11:53:09 2025 commencing full merge Wed Apr 9 12:03:23 2025 memory use: 2345.6 MB Wed Apr 9 12:03:26 2025 found 9068197 cycles, need 9005331 Wed Apr 9 12:03:29 2025 weight of 9005331 cycles is about 1080688898 (120.01/cycle) Wed Apr 9 12:03:30 2025 distribution of cycle lengths: Wed Apr 9 12:03:30 2025 1 relations: 697950 Wed Apr 9 12:03:30 2025 2 relations: 634002 Wed Apr 9 12:03:30 2025 3 relations: 630761 Wed Apr 9 12:03:30 2025 4 relations: 604818 Wed Apr 9 12:03:30 2025 5 relations: 602472 Wed Apr 9 12:03:30 2025 6 relations: 580760 Wed Apr 9 12:03:30 2025 7 relations: 568132 Wed Apr 9 12:03:30 2025 8 relations: 543305 Wed Apr 9 12:03:30 2025 9 relations: 519743 Wed Apr 9 12:03:30 2025 10+ relations: 3623388 Wed Apr 9 12:03:30 2025 heaviest cycle: 28 relations Wed Apr 9 12:03:34 2025 commencing cycle optimization Wed Apr 9 12:04:04 2025 start with 79401202 relations Wed Apr 9 12:08:38 2025 pruned 3050349 relations Wed Apr 9 12:08:38 2025 memory use: 2229.3 MB Wed Apr 9 12:08:38 2025 distribution of cycle lengths: Wed Apr 9 12:08:38 2025 1 relations: 697950 Wed Apr 9 12:08:38 2025 2 relations: 649482 Wed Apr 9 12:08:38 2025 3 relations: 654557 Wed Apr 9 12:08:38 2025 4 relations: 625285 Wed Apr 9 12:08:38 2025 5 relations: 626906 Wed Apr 9 12:08:38 2025 6 relations: 603667 Wed Apr 9 12:08:38 2025 7 relations: 590814 Wed Apr 9 12:08:38 2025 8 relations: 564594 Wed Apr 9 12:08:38 2025 9 relations: 537895 Wed Apr 9 12:08:38 2025 10+ relations: 3454181 Wed Apr 9 12:08:38 2025 heaviest cycle: 28 relations Wed Apr 9 12:08:55 2025 RelProcTime: 4081 Wed Apr 9 12:08:55 2025 Wed Apr 9 12:08:55 2025 commencing linear algebra Wed Apr 9 12:08:55 2025 using VBITS=256 Wed Apr 9 12:08:55 2025 stopping after matrix build Wed Apr 9 12:08:55 2025 initialized process (0,0) of 1 x 1 grid Wed Apr 9 12:08:56 2025 read 9005331 cycles Wed Apr 9 12:09:23 2025 cycles contain 34289292 unique relations Wed Apr 9 12:14:11 2025 read 34289292 relations Wed Apr 9 12:14:15 2025 using 20 quadratic characters above 4294917295 Wed Apr 9 12:14:21 2025 building initial matrix Wed Apr 9 12:23:07 2025 memory use: 4551.7 MB Wed Apr 9 12:23:15 2025 read 9005331 cycles Wed Apr 9 12:23:20 2025 matrix is 9005150 x 9005331 (4259.7 MB) with weight 1294195704 (143.71/col) Wed Apr 9 12:23:20 2025 sparse part has weight 1008588650 (112.00/col) Wed Apr 9 12:27:03 2025 filtering completed in 2 passes Wed Apr 9 12:27:09 2025 matrix is 9004058 x 9004239 (4259.6 MB) with weight 1294135704 (143.73/col) Wed Apr 9 12:27:09 2025 sparse part has weight 1008566444 (112.01/col) Wed Apr 9 12:28:32 2025 BLanczosTime: 1177 Wed Apr 9 12:28:32 2025 elapsed time 01:27:39 Wed Apr 9 14:28:30 2025 Wed Apr 9 14:28:30 2025 Wed Apr 9 14:28:30 2025 Msieve v. 1.54 (SVN Unversioned directory) Wed Apr 9 14:28:30 2025 random seeds: c5a4e5dd 85aa4a6b Wed Apr 9 14:28:30 2025 Using 96 OpenMP threads Wed Apr 9 14:28:30 2025 factoring 622060896837417236373925725669150874797382616780264452883923459647010302274142925402132533930824122258518804157281850643228240369684064524355414756903718420568203647 (165 digits) Wed Apr 9 14:28:30 2025 searching for 15-digit factors Wed Apr 9 14:28:30 2025 commencing number field sieve (165-digit input) Wed Apr 9 14:28:30 2025 R0: -92866738132085583496031847921094 Wed Apr 9 14:28:30 2025 R1: 7735074851663479 Wed Apr 9 14:28:30 2025 A0: 420654800278261499801235916210201795875 Wed Apr 9 14:28:30 2025 A1: -1519574486351271950216516607332591 Wed Apr 9 14:28:30 2025 A2: -504863995041943917383334715 Wed Apr 9 14:28:30 2025 A3: -94189517579161212261 Wed Apr 9 14:28:30 2025 A4: 4079898101600 Wed Apr 9 14:28:30 2025 A5: 90060 Wed Apr 9 14:28:30 2025 skew 12876930.18, size 4.252e-16, alpha -6.861, combined = 6.793e-13 rroots = 3 Wed Apr 9 14:28:30 2025 Wed Apr 9 14:28:30 2025 commencing linear algebra Wed Apr 9 14:28:30 2025 using VBITS=256 Wed Apr 9 14:28:30 2025 skipping matrix build Wed Apr 9 14:28:33 2025 matrix starts at (0, 0) Wed Apr 9 14:28:35 2025 matrix is 9004058 x 9004239 (4259.6 MB) with weight 1294135704 (143.73/col) Wed Apr 9 14:28:35 2025 sparse part has weight 1008566444 (112.01/col) Wed Apr 9 14:28:35 2025 saving the first 240 matrix rows for later Wed Apr 9 14:28:38 2025 matrix includes 256 packed rows Wed Apr 9 14:28:42 2025 matrix is 9003818 x 9004239 (3826.9 MB) with weight 919564670 (102.13/col) Wed Apr 9 14:28:42 2025 sparse part has weight 859136536 (95.41/col) Wed Apr 9 14:28:42 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Wed Apr 9 14:29:02 2025 commencing Lanczos iteration (96 threads) Wed Apr 9 14:29:02 2025 memory use: 5262.0 MB Wed Apr 9 14:30:06 2025 linear algebra at 0.3%, ETA 5h 7m Wed Apr 9 14:31:38 2025 checking every 20000 dimensions, checkpointing every 1800000 dimensions Wed Apr 9 19:17:54 2025 lanczos halted after 35278 iterations (dim = 9003815) Wed Apr 9 19:18:38 2025 recovered 30 nontrivial dependencies Wed Apr 9 19:18:38 2025 BLanczosTime: 17408 Wed Apr 9 19:18:38 2025 Wed Apr 9 19:18:38 2025 commencing square root phase Wed Apr 9 19:18:38 2025 handling dependencies 1 to 64 Wed Apr 9 19:18:38 2025 reading relations for dependency 1 Wed Apr 9 19:18:39 2025 read 4503095 cycles Wed Apr 9 19:18:46 2025 cycles contain 17141674 unique relations Wed Apr 9 19:23:03 2025 read 17141674 relations Wed Apr 9 19:24:03 2025 multiplying 17141674 relations Wed Apr 9 19:31:43 2025 multiply complete, coefficients have about 925.60 million bits Wed Apr 9 19:31:46 2025 initial square root is modulo 201359369 Wed Apr 9 19:37:38 2025 sqrtTime: 1140 Wed Apr 9 19:37:38 2025 p80 factor: 49527325715158629207683804490882525690909211188462472409613965249588036117321953 Wed Apr 9 19:37:38 2025 p86 factor: 12559953275390065363582795145269053513754466839860955849297999865942384106117165295199 Wed Apr 9 19:37:38 2025 elapsed time 05:09:08