Sun Mar 27 19:11:44 2016 Sun Mar 27 19:11:44 2016 Sun Mar 27 19:11:44 2016 Msieve v. 1.53 (SVN 988) Sun Mar 27 19:11:44 2016 random seeds: 5a910f59 3462accc Sun Mar 27 19:11:44 2016 factoring 744181297890365927053024396291215614565295205750356910000936609620403355970206650180706252418969961460960507501180271331705334315266418652341132352769050989659922490195502500292535777276781699190087466052210586131 (213 digits) Sun Mar 27 19:11:46 2016 no P-1/P+1/ECM available, skipping Sun Mar 27 19:11:46 2016 commencing number field sieve (213-digit input) Sun Mar 27 19:11:46 2016 R0: -38104554879669250284231423035197960816026961 Sun Mar 27 19:11:46 2016 R1: 1 Sun Mar 27 19:11:46 2016 A0: -1 Sun Mar 27 19:11:46 2016 A1: 0 Sun Mar 27 19:11:46 2016 A2: 0 Sun Mar 27 19:11:46 2016 A3: 0 Sun Mar 27 19:11:46 2016 A4: 0 Sun Mar 27 19:11:46 2016 A5: 4283 Sun Mar 27 19:11:46 2016 skew 1.00, size 2.817e-15, alpha -0.491, combined = 1.864e-12 rroots = 1 Sun Mar 27 19:11:46 2016 Sun Mar 27 19:11:46 2016 commencing relation filtering Sun Mar 27 19:11:46 2016 setting target matrix density to 90.0 Sun Mar 27 19:11:46 2016 estimated available RAM is 7942.3 MB Sun Mar 27 19:11:46 2016 commencing duplicate removal, pass 1 Sun Mar 27 19:31:58 2016 error -9 reading relation 111733621 Sun Mar 27 19:31:59 2016 error -15 reading relation 111770815 Sun Mar 27 19:32:00 2016 error -15 reading relation 111831697 Sun Mar 27 19:32:01 2016 error -9 reading relation 111921290 Sun Mar 27 19:32:01 2016 error -9 reading relation 111960000 Sun Mar 27 19:32:02 2016 error -15 reading relation 112007215 Sun Mar 27 19:32:02 2016 error -9 reading relation 112066853 Sun Mar 27 19:32:11 2016 error -9 reading relation 112847626 Sun Mar 27 19:32:12 2016 skipped 194 relations with b > 2^32 Sun Mar 27 19:32:12 2016 skipped 1 relations with composite factors Sun Mar 27 19:32:12 2016 found 15604341 hash collisions in 112901956 relations Sun Mar 27 19:32:40 2016 added 730196 free relations Sun Mar 27 19:32:40 2016 commencing duplicate removal, pass 2 Sun Mar 27 19:34:33 2016 found 12799329 duplicates and 100832823 unique relations Sun Mar 27 19:34:33 2016 memory use: 426.4 MB Sun Mar 27 19:34:33 2016 reading ideals above 59965440 Sun Mar 27 19:34:33 2016 commencing singleton removal, initial pass Sun Mar 27 19:50:28 2016 memory use: 2756.0 MB Sun Mar 27 19:50:28 2016 reading all ideals from disk Sun Mar 27 19:50:49 2016 memory use: 1758.0 MB Sun Mar 27 19:50:53 2016 commencing in-memory singleton removal Sun Mar 27 19:50:57 2016 begin with 100832823 relations and 83383451 unique ideals Sun Mar 27 19:51:33 2016 reduce to 65932673 relations and 44936678 ideals in 12 passes Sun Mar 27 19:51:33 2016 max relations containing the same ideal: 59 Sun Mar 27 19:51:37 2016 reading ideals above 720000 Sun Mar 27 19:51:37 2016 commencing singleton removal, initial pass Sun Mar 27 20:03:53 2016 memory use: 1378.0 MB Sun Mar 27 20:03:53 2016 reading all ideals from disk Sun Mar 27 20:04:24 2016 memory use: 2432.7 MB Sun Mar 27 20:04:30 2016 keeping 51717825 ideals with weight <= 200, target excess is 339144 Sun Mar 27 20:04:36 2016 commencing in-memory singleton removal Sun Mar 27 20:04:42 2016 begin with 65932673 relations and 51717825 unique ideals Sun Mar 27 20:05:17 2016 reduce to 65932397 relations and 51717549 ideals in 6 passes Sun Mar 27 20:05:17 2016 max relations containing the same ideal: 200 Sun Mar 27 20:05:47 2016 removing 8630937 relations and 6630937 ideals in 2000000 cliques Sun Mar 27 20:05:50 2016 commencing in-memory singleton removal Sun Mar 27 20:05:55 2016 begin with 57301460 relations and 51717549 unique ideals Sun Mar 27 20:06:35 2016 reduce to 56405073 relations and 44156586 ideals in 8 passes Sun Mar 27 20:06:35 2016 max relations containing the same ideal: 192 Sun Mar 27 20:07:01 2016 removing 6835688 relations and 4835688 ideals in 2000000 cliques Sun Mar 27 20:07:03 2016 commencing in-memory singleton removal Sun Mar 27 20:07:07 2016 begin with 49569385 relations and 44156586 unique ideals Sun Mar 27 20:07:40 2016 reduce to 48934795 relations and 38663997 ideals in 8 passes Sun Mar 27 20:07:40 2016 max relations containing the same ideal: 174 Sun Mar 27 20:08:02 2016 removing 6345441 relations and 4345441 ideals in 2000000 cliques Sun Mar 27 20:08:04 2016 commencing in-memory singleton removal Sun Mar 27 20:08:07 2016 begin with 42589354 relations and 38663997 unique ideals Sun Mar 27 20:08:31 2016 reduce to 42001207 relations and 33708134 ideals in 7 passes Sun Mar 27 20:08:31 2016 max relations containing the same ideal: 156 Sun Mar 27 20:08:50 2016 removing 6108246 relations and 4108246 ideals in 2000000 cliques Sun Mar 27 20:08:52 2016 commencing in-memory singleton removal Sun Mar 27 20:08:55 2016 begin with 35892961 relations and 33708134 unique ideals Sun Mar 27 20:09:15 2016 reduce to 35290701 relations and 28972224 ideals in 7 passes Sun Mar 27 20:09:15 2016 max relations containing the same ideal: 141 Sun Mar 27 20:09:32 2016 removing 5974934 relations and 3974934 ideals in 2000000 cliques Sun Mar 27 20:09:34 2016 commencing in-memory singleton removal Sun Mar 27 20:09:36 2016 begin with 29315767 relations and 28972224 unique ideals Sun Mar 27 20:09:52 2016 reduce to 28657297 relations and 24306104 ideals in 7 passes Sun Mar 27 20:09:52 2016 max relations containing the same ideal: 120 Sun Mar 27 20:10:04 2016 removing 5898636 relations and 3898636 ideals in 2000000 cliques Sun Mar 27 20:10:06 2016 commencing in-memory singleton removal Sun Mar 27 20:10:07 2016 begin with 22758661 relations and 24306104 unique ideals Sun Mar 27 20:10:23 2016 reduce to 21987767 relations and 19589919 ideals in 9 passes Sun Mar 27 20:10:23 2016 max relations containing the same ideal: 100 Sun Mar 27 20:10:34 2016 removing 5857737 relations and 3857737 ideals in 2000000 cliques Sun Mar 27 20:10:35 2016 commencing in-memory singleton removal Sun Mar 27 20:10:36 2016 begin with 16130030 relations and 19589919 unique ideals Sun Mar 27 20:10:47 2016 reduce to 15152209 relations and 14675091 ideals in 9 passes Sun Mar 27 20:10:47 2016 max relations containing the same ideal: 81 Sun Mar 27 20:10:55 2016 removing 481985 relations and 398275 ideals in 83710 cliques Sun Mar 27 20:10:55 2016 commencing in-memory singleton removal Sun Mar 27 20:10:56 2016 begin with 14670224 relations and 14675091 unique ideals Sun Mar 27 20:11:04 2016 reduce to 14658946 relations and 14265474 ideals in 7 passes Sun Mar 27 20:11:04 2016 max relations containing the same ideal: 79 Sun Mar 27 20:11:07 2016 relations with 0 large ideals: 6808 Sun Mar 27 20:11:07 2016 relations with 1 large ideals: 3388 Sun Mar 27 20:11:07 2016 relations with 2 large ideals: 53172 Sun Mar 27 20:11:07 2016 relations with 3 large ideals: 372262 Sun Mar 27 20:11:07 2016 relations with 4 large ideals: 1381124 Sun Mar 27 20:11:07 2016 relations with 5 large ideals: 3001388 Sun Mar 27 20:11:07 2016 relations with 6 large ideals: 4143203 Sun Mar 27 20:11:07 2016 relations with 7+ large ideals: 5697601 Sun Mar 27 20:11:07 2016 commencing 2-way merge Sun Mar 27 20:11:15 2016 reduce to 9474767 relation sets and 9081295 unique ideals Sun Mar 27 20:11:15 2016 commencing full merge Sun Mar 27 20:14:07 2016 memory use: 1187.2 MB Sun Mar 27 20:14:08 2016 found 4753902 cycles, need 4703495 Sun Mar 27 20:14:09 2016 weight of 4703495 cycles is about 423575830 (90.06/cycle) Sun Mar 27 20:14:09 2016 distribution of cycle lengths: Sun Mar 27 20:14:09 2016 1 relations: 314620 Sun Mar 27 20:14:09 2016 2 relations: 416516 Sun Mar 27 20:14:09 2016 3 relations: 463243 Sun Mar 27 20:14:09 2016 4 relations: 467479 Sun Mar 27 20:14:09 2016 5 relations: 463817 Sun Mar 27 20:14:09 2016 6 relations: 435581 Sun Mar 27 20:14:09 2016 7 relations: 397365 Sun Mar 27 20:14:09 2016 8 relations: 349351 Sun Mar 27 20:14:09 2016 9 relations: 298203 Sun Mar 27 20:14:09 2016 10+ relations: 1097320 Sun Mar 27 20:14:09 2016 heaviest cycle: 24 relations Sun Mar 27 20:14:11 2016 commencing cycle optimization Sun Mar 27 20:14:19 2016 start with 31634593 relations Sun Mar 27 20:15:08 2016 pruned 1162996 relations Sun Mar 27 20:15:08 2016 memory use: 934.8 MB Sun Mar 27 20:15:08 2016 distribution of cycle lengths: Sun Mar 27 20:15:08 2016 1 relations: 314620 Sun Mar 27 20:15:08 2016 2 relations: 426546 Sun Mar 27 20:15:08 2016 3 relations: 482830 Sun Mar 27 20:15:08 2016 4 relations: 485581 Sun Mar 27 20:15:08 2016 5 relations: 484794 Sun Mar 27 20:15:08 2016 6 relations: 452520 Sun Mar 27 20:15:08 2016 7 relations: 411430 Sun Mar 27 20:15:08 2016 8 relations: 356247 Sun Mar 27 20:15:08 2016 9 relations: 300575 Sun Mar 27 20:15:08 2016 10+ relations: 988352 Sun Mar 27 20:15:08 2016 heaviest cycle: 24 relations Sun Mar 27 20:15:13 2016 RelProcTime: 3807 Sun Mar 27 20:15:13 2016 Sun Mar 27 20:15:13 2016 commencing linear algebra Sun Mar 27 20:15:15 2016 read 4703495 cycles Sun Mar 27 20:15:23 2016 cycles contain 14440789 unique relations Sun Mar 27 20:18:42 2016 read 14440789 relations Sun Mar 27 20:19:00 2016 using 20 quadratic characters above 4294917295 Sun Mar 27 20:19:56 2016 building initial matrix Sun Mar 27 20:22:03 2016 memory use: 1882.7 MB Sun Mar 27 20:22:05 2016 read 4703495 cycles Sun Mar 27 20:22:05 2016 matrix is 4703317 x 4703495 (1729.6 MB) with weight 513853486 (109.25/col) Sun Mar 27 20:22:05 2016 sparse part has weight 401665891 (85.40/col) Sun Mar 27 20:22:50 2016 filtering completed in 2 passes Sun Mar 27 20:22:51 2016 matrix is 4702848 x 4703026 (1729.6 MB) with weight 513837152 (109.26/col) Sun Mar 27 20:22:51 2016 sparse part has weight 401660717 (85.40/col) Sun Mar 27 20:23:20 2016 matrix starts at (0, 0) Sun Mar 27 20:23:20 2016 matrix is 4702848 x 4703026 (1729.6 MB) with weight 513837152 (109.26/col) Sun Mar 27 20:23:20 2016 sparse part has weight 401660717 (85.40/col) Sun Mar 27 20:23:20 2016 saving the first 48 matrix rows for later Sun Mar 27 20:23:21 2016 matrix includes 64 packed rows Sun Mar 27 20:23:22 2016 matrix is 4702800 x 4703026 (1662.5 MB) with weight 424391075 (90.24/col) Sun Mar 27 20:23:22 2016 sparse part has weight 388782846 (82.67/col) Sun Mar 27 20:23:22 2016 using block size 8192 and superblock size 589824 for processor cache size 6144 kB Sun Mar 27 20:23:36 2016 commencing Lanczos iteration (4 threads) Sun Mar 27 20:23:37 2016 memory use: 1367.2 MB Sun Mar 27 20:23:53 2016 linear algebra at 0.0%, ETA 13h46m Sun Mar 27 20:23:59 2016 checkpointing every 340000 dimensions Mon Mar 28 08:47:13 2016 lanczos halted after 74370 iterations (dim = 4702798) Mon Mar 28 08:47:17 2016 recovered 36 nontrivial dependencies Mon Mar 28 08:47:18 2016 BLanczosTime: 45125 Mon Mar 28 08:47:18 2016 Mon Mar 28 08:47:18 2016 commencing square root phase Mon Mar 28 08:47:18 2016 handling dependencies 1 to 64 Mon Mar 28 08:47:18 2016 reading relations for dependency 1 Mon Mar 28 08:47:20 2016 read 2349597 cycles Mon Mar 28 08:47:23 2016 cycles contain 7217986 unique relations Mon Mar 28 08:49:43 2016 read 7217986 relations Mon Mar 28 08:50:20 2016 multiplying 7217986 relations Mon Mar 28 08:54:30 2016 multiply complete, coefficients have about 256.07 million bits Mon Mar 28 08:54:31 2016 initial square root is modulo 1546850531 Mon Mar 28 08:59:47 2016 found factor: 284900761456595292540926043911643786126274886002455314584029997761238237728406289112089 Mon Mar 28 08:59:47 2016 reading relations for dependency 2 Mon Mar 28 08:59:49 2016 read 2351884 cycles Mon Mar 28 08:59:53 2016 cycles contain 7220014 unique relations Mon Mar 28 09:02:37 2016 read 7220014 relations Mon Mar 28 09:03:13 2016 multiplying 7220014 relations Mon Mar 28 09:07:23 2016 multiply complete, coefficients have about 256.14 million bits Mon Mar 28 09:07:23 2016 initial square root is modulo 1556118401 Mon Mar 28 09:12:39 2016 Newton iteration failed to converge Mon Mar 28 09:12:39 2016 algebraic square root failed Mon Mar 28 09:12:39 2016 reading relations for dependency 3 Mon Mar 28 09:12:41 2016 read 2353815 cycles Mon Mar 28 09:12:45 2016 cycles contain 7227878 unique relations Mon Mar 28 09:15:03 2016 read 7227878 relations Mon Mar 28 09:15:40 2016 multiplying 7227878 relations Mon Mar 28 09:19:49 2016 multiply complete, coefficients have about 256.43 million bits Mon Mar 28 09:19:50 2016 initial square root is modulo 1593775471 Mon Mar 28 09:25:06 2016 GCD is N, no factor found Mon Mar 28 09:25:06 2016 reading relations for dependency 4 Mon Mar 28 09:25:08 2016 read 2352013 cycles Mon Mar 28 09:25:12 2016 cycles contain 7221794 unique relations Mon Mar 28 09:27:30 2016 read 7221794 relations Mon Mar 28 09:28:06 2016 multiplying 7221794 relations Mon Mar 28 09:32:16 2016 multiply complete, coefficients have about 256.21 million bits Mon Mar 28 09:32:17 2016 initial square root is modulo 1564968491 Mon Mar 28 09:37:34 2016 sqrtTime: 3016 Mon Mar 28 09:37:34 2016 p56 factor: 35286932462952672872125482693628881102271748845056604051 Mon Mar 28 09:37:34 2016 p71 factor: 74023776056241628262401761743998141577961826782996197047930820899567529 Mon Mar 28 09:37:34 2016 p87 factor: 284900761456595292540926043911643786126274886002455314584029997761238237728406289112089 Mon Mar 28 09:37:34 2016 elapsed time 14:25:50