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Fri Sep 13 19:58:46 2019 Fri Sep 13 19:58:46 2019 Fri Sep 13 19:58:46 2019 Msieve v. 1.52 (SVN unknown) Fri Sep 13 19:58:46 2019 random seeds: 07328300 8cff655b Fri Sep 13 19:58:46 2019 factoring 5404127756813695462642256597749697929334442255497302727496868687093302756941804490758683986883254083211959163818057128076979123969074806301300657939864870592563907168660153068249066587541037488821 (196 digits) Fri Sep 13 19:58:47 2019 no P-1/P+1/ECM available, skipping Fri Sep 13 19:58:47 2019 commencing number field sieve (196-digit input) Fri Sep 13 19:58:47 2019 R0: -1359468845100412723218362927388368486401 Fri Sep 13 19:58:47 2019 R1: 1 Fri Sep 13 19:58:47 2019 A0: 67092481 Fri Sep 13 19:58:47 2019 A1: 0 Fri Sep 13 19:58:47 2019 A2: 0 Fri Sep 13 19:58:47 2019 A3: 8191 Fri Sep 13 19:58:47 2019 A4: 0 Fri Sep 13 19:58:47 2019 A5: 0 Fri Sep 13 19:58:47 2019 A6: 1 Fri Sep 13 19:58:47 2019 skew 26.62, size 1.613e-012, alpha 2.283, combined = 1.794e-013 rroots = 0 Fri Sep 13 19:58:47 2019 Fri Sep 13 19:58:47 2019 commencing relation filtering Fri Sep 13 19:58:47 2019 setting target matrix density to 120.0 Fri Sep 13 19:58:47 2019 estimated available RAM is 16316.6 MB Fri Sep 13 19:58:47 2019 commencing duplicate removal, pass 1 Fri Sep 13 19:59:49 2019 error -9 reading relation 6792422 Fri Sep 13 19:59:54 2019 error -1 reading relation 7382109 Fri Sep 13 20:00:46 2019 error -15 reading relation 13574984 Fri Sep 13 20:01:30 2019 error -9 reading relation 18808723 Fri Sep 13 20:01:45 2019 error -15 reading relation 20601711 Fri Sep 13 20:02:06 2019 error -15 reading relation 23083146 Fri Sep 13 20:02:06 2019 error -15 reading relation 23093045 Fri Sep 13 20:02:06 2019 error -9 reading relation 23096003 Fri Sep 13 20:02:06 2019 error -9 reading relation 23099012 Fri Sep 13 20:02:10 2019 error -1 reading relation 23644747 Fri Sep 13 20:37:32 2019 error -1 reading relation 273724305 Fri Sep 13 20:37:32 2019 error -5 reading relation 273761421 Fri Sep 13 20:37:32 2019 error -15 reading relation 273773116 Fri Sep 13 20:37:33 2019 error -9 reading relation 273814887 Fri Sep 13 20:37:33 2019 error -9 reading relation 273856221 Fri Sep 13 20:37:33 2019 error -9 reading relation 273859432 Fri Sep 13 20:37:34 2019 error -15 reading relation 273957867 Fri Sep 13 20:37:34 2019 error -1 reading relation 273966584 Fri Sep 13 20:37:34 2019 error -15 reading relation 273967953 Fri Sep 13 20:37:34 2019 error -9 reading relation 273987551 Fri Sep 13 20:37:35 2019 error -9 reading relation 274043008 Fri Sep 13 20:37:35 2019 error -1 reading relation 274046758 Fri Sep 13 20:37:35 2019 error -15 reading relation 274055972 Fri Sep 13 20:37:35 2019 error -9 reading relation 274065134 Fri Sep 13 20:37:35 2019 found 66166135 hash collisions in 274070637 relations Fri Sep 13 20:37:56 2019 added 813982 free relations Fri Sep 13 20:37:56 2019 commencing duplicate removal, pass 2 Fri Sep 13 20:45:57 2019 found 71263186 duplicates and 203621433 unique relations Fri Sep 13 20:45:57 2019 memory use: 1449.5 MB Fri Sep 13 20:45:57 2019 reading ideals above 264568832 Fri Sep 13 20:45:57 2019 commencing singleton removal, initial pass Fri Sep 13 21:18:21 2019 memory use: 3012.0 MB Fri Sep 13 21:18:22 2019 reading all ideals from disk Fri Sep 13 21:18:56 2019 memory use: 3235.4 MB Fri Sep 13 21:19:01 2019 commencing in-memory singleton removal Fri Sep 13 21:19:07 2019 begin with 203621433 relations and 152353001 unique ideals Fri Sep 13 21:20:13 2019 reduce to 142673484 relations and 86029067 ideals in 13 passes Fri Sep 13 21:20:13 2019 max relations containing the same ideal: 29 Fri Sep 13 21:20:22 2019 reading ideals above 720000 Fri Sep 13 21:20:22 2019 commencing singleton removal, initial pass Fri Sep 13 21:49:46 2019 memory use: 3012.0 MB Fri Sep 13 21:49:46 2019 reading all ideals from disk Fri Sep 13 21:51:07 2019 memory use: 5737.3 MB Fri Sep 13 21:51:22 2019 keeping 114174373 ideals with weight <= 200, target excess is 728998 Fri Sep 13 21:51:38 2019 commencing in-memory singleton removal Fri Sep 13 21:51:50 2019 begin with 142673484 relations and 114174373 unique ideals Fri Sep 13 21:53:32 2019 reduce to 142658695 relations and 114159582 ideals in 8 passes Fri Sep 13 21:53:32 2019 max relations containing the same ideal: 200 Fri Sep 13 21:54:32 2019 removing 10221452 relations and 8221452 ideals in 2000000 cliques Fri Sep 13 21:54:35 2019 commencing in-memory singleton removal Fri Sep 13 21:54:46 2019 begin with 132437243 relations and 114159582 unique ideals Fri Sep 13 21:56:19 2019 reduce to 131924499 relations and 105416485 ideals in 8 passes Fri Sep 13 21:56:19 2019 max relations containing the same ideal: 198 Fri Sep 13 21:57:16 2019 removing 7815226 relations and 5815226 ideals in 2000000 cliques Fri Sep 13 21:57:19 2019 commencing in-memory singleton removal Fri Sep 13 21:57:29 2019 begin with 124109273 relations and 105416485 unique ideals Fri Sep 13 21:58:45 2019 reduce to 123767129 relations and 99253892 ideals in 7 passes Fri Sep 13 21:58:45 2019 max relations containing the same ideal: 191 Fri Sep 13 21:59:38 2019 removing 7088716 relations and 5088716 ideals in 2000000 cliques Fri Sep 13 21:59:41 2019 commencing in-memory singleton removal Fri Sep 13 21:59:50 2019 begin with 116678413 relations and 99253892 unique ideals Fri Sep 13 22:01:01 2019 reduce to 116379892 relations and 93862056 ideals in 7 passes Fri Sep 13 22:01:01 2019 max relations containing the same ideal: 183 Fri Sep 13 22:01:51 2019 removing 6710639 relations and 4710639 ideals in 2000000 cliques Fri Sep 13 22:01:54 2019 commencing in-memory singleton removal Fri Sep 13 22:02:02 2019 begin with 109669253 relations and 93862056 unique ideals Fri Sep 13 22:03:09 2019 reduce to 109394709 relations and 88872629 ideals in 7 passes Fri Sep 13 22:03:09 2019 max relations containing the same ideal: 177 Fri Sep 13 22:03:57 2019 removing 6460705 relations and 4460705 ideals in 2000000 cliques Fri Sep 13 22:03:59 2019 commencing in-memory singleton removal Fri Sep 13 22:04:07 2019 begin with 102934004 relations and 88872629 unique ideals Fri Sep 13 22:05:00 2019 reduce to 102670667 relations and 84144307 ideals in 6 passes Fri Sep 13 22:05:00 2019 max relations containing the same ideal: 169 Fri Sep 13 22:05:45 2019 removing 6287828 relations and 4287828 ideals in 2000000 cliques Fri Sep 13 22:05:47 2019 commencing in-memory singleton removal Fri Sep 13 22:05:55 2019 begin with 96382839 relations and 84144307 unique ideals Fri Sep 13 22:06:45 2019 reduce to 96125606 relations and 79594830 ideals in 6 passes Fri Sep 13 22:06:45 2019 max relations containing the same ideal: 167 Fri Sep 13 22:07:26 2019 removing 6154099 relations and 4154099 ideals in 2000000 cliques Fri Sep 13 22:07:28 2019 commencing in-memory singleton removal Fri Sep 13 22:07:35 2019 begin with 89971507 relations and 79594830 unique ideals Fri Sep 13 22:08:29 2019 reduce to 89713010 relations and 75177529 ideals in 7 passes Fri Sep 13 22:08:29 2019 max relations containing the same ideal: 157 Fri Sep 13 22:09:08 2019 removing 6055721 relations and 4055721 ideals in 2000000 cliques Fri Sep 13 22:09:10 2019 commencing in-memory singleton removal Fri Sep 13 22:09:16 2019 begin with 83657289 relations and 75177529 unique ideals Fri Sep 13 22:10:06 2019 reduce to 83392932 relations and 70852361 ideals in 7 passes Fri Sep 13 22:10:06 2019 max relations containing the same ideal: 150 Fri Sep 13 22:10:43 2019 removing 5984230 relations and 3984230 ideals in 2000000 cliques Fri Sep 13 22:10:45 2019 commencing in-memory singleton removal Fri Sep 13 22:10:51 2019 begin with 77408702 relations and 70852361 unique ideals Fri Sep 13 22:11:30 2019 reduce to 77134233 relations and 66588044 ideals in 6 passes Fri Sep 13 22:11:30 2019 max relations containing the same ideal: 144 Fri Sep 13 22:12:04 2019 removing 5930170 relations and 3930170 ideals in 2000000 cliques Fri Sep 13 22:12:06 2019 commencing in-memory singleton removal Fri Sep 13 22:12:12 2019 begin with 71204063 relations and 66588044 unique ideals Fri Sep 13 22:12:47 2019 reduce to 70912363 relations and 62359735 ideals in 6 passes Fri Sep 13 22:12:47 2019 max relations containing the same ideal: 133 Fri Sep 13 22:13:19 2019 removing 5903479 relations and 3903479 ideals in 2000000 cliques Fri Sep 13 22:13:21 2019 commencing in-memory singleton removal Fri Sep 13 22:13:26 2019 begin with 65008884 relations and 62359735 unique ideals Fri Sep 13 22:14:04 2019 reduce to 64691113 relations and 58130795 ideals in 7 passes Fri Sep 13 22:14:04 2019 max relations containing the same ideal: 126 Fri Sep 13 22:14:32 2019 removing 5905178 relations and 3905178 ideals in 2000000 cliques Fri Sep 13 22:14:34 2019 commencing in-memory singleton removal Fri Sep 13 22:14:39 2019 begin with 58785935 relations and 58130795 unique ideals Fri Sep 13 22:15:13 2019 reduce to 58428476 relations and 53858725 ideals in 7 passes Fri Sep 13 22:15:13 2019 max relations containing the same ideal: 120 Fri Sep 13 22:15:39 2019 removing 5945162 relations and 3945162 ideals in 2000000 cliques Fri Sep 13 22:15:40 2019 commencing in-memory singleton removal Fri Sep 13 22:15:45 2019 begin with 52483314 relations and 53858725 unique ideals Fri Sep 13 22:16:15 2019 reduce to 52063058 relations and 49481170 ideals in 7 passes Fri Sep 13 22:16:15 2019 max relations containing the same ideal: 109 Fri Sep 13 22:16:38 2019 removing 5358381 relations and 3622131 ideals in 1736250 cliques Fri Sep 13 22:16:40 2019 commencing in-memory singleton removal Fri Sep 13 22:16:43 2019 begin with 46704677 relations and 49481170 unique ideals Fri Sep 13 22:17:10 2019 reduce to 46294570 relations and 45437072 ideals in 7 passes Fri Sep 13 22:17:10 2019 max relations containing the same ideal: 103 Fri Sep 13 22:17:31 2019 removing 76952 relations and 65092 ideals in 11860 cliques Fri Sep 13 22:17:31 2019 commencing in-memory singleton removal Fri Sep 13 22:17:35 2019 begin with 46217618 relations and 45437072 unique ideals Fri Sep 13 22:17:50 2019 reduce to 46217539 relations and 45371901 ideals in 4 passes Fri Sep 13 22:17:50 2019 max relations containing the same ideal: 103 Fri Sep 13 22:17:59 2019 relations with 0 large ideals: 17789 Fri Sep 13 22:17:59 2019 relations with 1 large ideals: 10694 Fri Sep 13 22:17:59 2019 relations with 2 large ideals: 134940 Fri Sep 13 22:17:59 2019 relations with 3 large ideals: 937340 Fri Sep 13 22:17:59 2019 relations with 4 large ideals: 3576510 Fri Sep 13 22:17:59 2019 relations with 5 large ideals: 8227823 Fri Sep 13 22:17:59 2019 relations with 6 large ideals: 11978514 Fri Sep 13 22:17:59 2019 relations with 7+ large ideals: 21333929 Fri Sep 13 22:17:59 2019 commencing 2-way merge Fri Sep 13 22:18:28 2019 reduce to 32476460 relation sets and 31630822 unique ideals Fri Sep 13 22:18:28 2019 commencing full merge Fri Sep 13 22:31:55 2019 memory use: 3898.8 MB Fri Sep 13 22:31:59 2019 found 14327391 cycles, need 14289022 Fri Sep 13 22:32:00 2019 weight of 14289022 cycles is about 1715218165 (120.04/cycle) Fri Sep 13 22:32:00 2019 distribution of cycle lengths: Fri Sep 13 22:32:00 2019 1 relations: 501953 Fri Sep 13 22:32:00 2019 2 relations: 796560 Fri Sep 13 22:32:00 2019 3 relations: 990003 Fri Sep 13 22:32:00 2019 4 relations: 1064651 Fri Sep 13 22:32:00 2019 5 relations: 1125762 Fri Sep 13 22:32:00 2019 6 relations: 1122640 Fri Sep 13 22:32:00 2019 7 relations: 1109550 Fri Sep 13 22:32:00 2019 8 relations: 1053010 Fri Sep 13 22:32:00 2019 9 relations: 982762 Fri Sep 13 22:32:00 2019 10+ relations: 5542131 Fri Sep 13 22:32:00 2019 heaviest cycle: 28 relations Fri Sep 13 22:32:03 2019 commencing cycle optimization Fri Sep 13 22:32:29 2019 start with 125061140 relations Fri Sep 13 22:38:41 2019 pruned 6545438 relations Fri Sep 13 22:38:41 2019 memory use: 3215.1 MB Fri Sep 13 22:38:41 2019 distribution of cycle lengths: Fri Sep 13 22:38:41 2019 1 relations: 501953 Fri Sep 13 22:38:41 2019 2 relations: 819902 Fri Sep 13 22:38:41 2019 3 relations: 1038405 Fri Sep 13 22:38:41 2019 4 relations: 1119386 Fri Sep 13 22:38:41 2019 5 relations: 1193026 Fri Sep 13 22:38:41 2019 6 relations: 1189375 Fri Sep 13 22:38:41 2019 7 relations: 1179112 Fri Sep 13 22:38:41 2019 8 relations: 1111863 Fri Sep 13 22:38:41 2019 9 relations: 1033290 Fri Sep 13 22:38:41 2019 10+ relations: 5102710 Fri Sep 13 22:38:41 2019 heaviest cycle: 28 relations Fri Sep 13 22:39:25 2019 RelProcTime: 9638 Fri Sep 13 22:39:25 2019 Fri Sep 13 22:39:25 2019 commencing linear algebra Fri Sep 13 22:39:27 2019 read 14289022 cycles Fri Sep 13 22:39:57 2019 cycles contain 45817883 unique relations Fri Sep 13 22:48:19 2019 read 45817883 relations Fri Sep 13 22:49:47 2019 using 20 quadratic characters above 2147482820 Fri Sep 13 22:53:00 2019 building initial matrix Fri Sep 13 23:02:37 2019 memory use: 5992.8 MB Fri Sep 13 23:02:56 2019 read 14289022 cycles Fri Sep 13 23:03:00 2019 matrix is 14288844 x 14289022 (6664.3 MB) with weight 1898282416 (132.85/col) Fri Sep 13 23:03:00 2019 sparse part has weight 1589825456 (111.26/col) Fri Sep 13 23:06:08 2019 filtering completed in 2 passes Fri Sep 13 23:06:13 2019 matrix is 14288695 x 14288873 (6664.3 MB) with weight 1898277689 (132.85/col) Fri Sep 13 23:06:13 2019 sparse part has weight 1589823958 (111.26/col) Fri Sep 13 23:08:35 2019 matrix starts at (0, 0) Fri Sep 13 23:08:39 2019 matrix is 14288695 x 14288873 (6664.3 MB) with weight 1898277689 (132.85/col) Fri Sep 13 23:08:39 2019 sparse part has weight 1589823958 (111.26/col) Fri Sep 13 23:08:39 2019 saving the first 48 matrix rows for later Fri Sep 13 23:08:44 2019 matrix includes 64 packed rows Fri Sep 13 23:08:46 2019 matrix is 14288647 x 14288873 (6357.7 MB) with weight 1632031461 (114.22/col) Fri Sep 13 23:08:46 2019 sparse part has weight 1523734361 (106.64/col) Fri Sep 13 23:08:46 2019 using block size 8192 and superblock size 393216 for processor cache size 4096 kB Fri Sep 13 23:10:11 2019 commencing Lanczos iteration (8 threads) Fri Sep 13 23:10:11 2019 memory use: 5439.6 MB Fri Sep 13 23:12:15 2019 linear algebra at 0.0%, ETA 311h31m Fri Sep 13 23:12:54 2019 checkpointing every 50000 dimensions Thu Sep 26 12:20:39 2019 lanczos halted after 221622 iterations (dim = 14014270) Thu Sep 26 12:20:57 2019 BLanczosTime: 1086092 Thu Sep 26 12:20:57 2019 Thu Sep 26 12:20:57 2019 commencing square root phase Thu Sep 26 12:20:57 2019 handling dependencies 1 to 64 Thu Sep 26 12:20:57 2019 reading relations for dependency 1 Thu Sep 26 12:20:57 2019 error: read_cycles can't open dependency file Thu Sep 26 12:38:35 2019 Thu Sep 26 12:38:35 2019 Thu Sep 26 12:38:35 2019 Msieve v. 1.52 (SVN unknown) Thu Sep 26 12:38:35 2019 random seeds: a7c23f6c 7530dbb9 Thu Sep 26 12:38:35 2019 factoring 5404127756813695462642256597749697929334442255497302727496868687093302756941804490758683986883254083211959163818057128076979123969074806301300657939864870592563907168660153068249066587541037488821 (196 digits) Thu Sep 26 12:38:38 2019 no P-1/P+1/ECM available, skipping Thu Sep 26 12:38:38 2019 commencing number field sieve (196-digit input) Thu Sep 26 12:38:38 2019 R0: -1359468845100412723218362927388368486401 Thu Sep 26 12:38:38 2019 R1: 1 Thu Sep 26 12:38:38 2019 A0: 67092481 Thu Sep 26 12:38:38 2019 A1: 0 Thu Sep 26 12:38:38 2019 A2: 0 Thu Sep 26 12:38:38 2019 A3: 8191 Thu Sep 26 12:38:38 2019 A4: 0 Thu Sep 26 12:38:38 2019 A5: 0 Thu Sep 26 12:38:38 2019 A6: 1 Thu Sep 26 12:38:38 2019 skew 26.62, size 1.613e-012, alpha 2.283, combined = 1.794e-013 rroots = 0 Thu Sep 26 12:38:38 2019 Thu Sep 26 12:38:38 2019 commencing linear algebra Thu Sep 26 12:45:30 2019 matrix starts at (0, 0) Thu Sep 26 12:45:41 2019 matrix is 14288695 x 14288873 (6664.3 MB) with weight 1898277689 (132.85/col) Thu Sep 26 12:45:41 2019 sparse part has weight 1589823958 (111.26/col) Thu Sep 26 12:45:41 2019 saving the first 48 matrix rows for later Thu Sep 26 12:45:58 2019 matrix includes 64 packed rows Thu Sep 26 12:46:05 2019 matrix is 14288647 x 14288873 (6357.7 MB) with weight 1632031461 (114.22/col) Thu Sep 26 12:46:05 2019 sparse part has weight 1523734361 (106.64/col) Thu Sep 26 12:46:05 2019 using block size 8192 and superblock size 393216 for processor cache size 4096 kB Thu Sep 26 12:49:27 2019 commencing Lanczos iteration (4 threads) Thu Sep 26 12:49:27 2019 memory use: 5439.5 MB Thu Sep 26 12:49:37 2019 restarting at iteration 221622 (dim = 14014270) Thu Sep 26 12:52:51 2019 linear algebra at 98.1%, ETA 9h42m Thu Sep 26 12:53:26 2019 checkpointing every 30000 dimensions Thu Sep 26 23:32:11 2019 lanczos halted after 225961 iterations (dim = 14288644) Thu Sep 26 23:33:06 2019 recovered 37 nontrivial dependencies Thu Sep 26 23:33:34 2019 BLanczosTime: 39296 Thu Sep 26 23:33:34 2019 Thu Sep 26 23:33:34 2019 commencing square root phase Thu Sep 26 23:33:34 2019 reading relations for dependency 1 Thu Sep 26 23:33:53 2019 read 7145170 cycles Thu Sep 26 23:34:34 2019 cycles contain 22910692 unique relations Thu Sep 26 23:47:14 2019 read 22910692 relations Thu Sep 26 23:53:27 2019 multiplying 22910692 relations Fri Sep 27 00:42:23 2019 multiply complete, coefficients have about 628.52 million bits Fri Sep 27 00:42:31 2019 initial square root is modulo 435317 Fri Sep 27 01:39:13 2019 sqrtTime: 7539 Fri Sep 27 01:39:13 2019 prp68 factor: 11513269758665453705343220647242827266434990425651326584727782593027 Fri Sep 27 01:39:13 2019 prp129 factor: 469382535986033231520410379129041864026375630156893072992676756140591507474228899960623878337713973577529732705740873820982779623 Fri Sep 27 01:39:13 2019 elapsed time 13:00:38
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