Sun Mar 20 23:13:28 2016 Sun Mar 20 23:13:28 2016 Msieve v. 1.53 (SVN Unversioned directory) Sun Mar 20 23:13:28 2016 random seeds: c288d25b b86c2c58 Sun Mar 20 23:13:28 2016 factoring 555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555551 (228 digits) Sun Mar 20 23:13:29 2016 searching for 15-digit factors Sun Mar 20 23:13:31 2016 commencing number field sieve (228-digit input) Sun Mar 20 23:13:31 2016 R0: -100000000000000000000000000000000000000 Sun Mar 20 23:13:31 2016 R1: 1 Sun Mar 20 23:13:31 2016 A0: -41 Sun Mar 20 23:13:31 2016 A1: 0 Sun Mar 20 23:13:31 2016 A2: 0 Sun Mar 20 23:13:31 2016 A3: 0 Sun Mar 20 23:13:31 2016 A4: 0 Sun Mar 20 23:13:31 2016 A5: 0 Sun Mar 20 23:13:31 2016 A6: 5 Sun Mar 20 23:13:31 2016 skew 1.00, size 2.805e-11, alpha 0.236, combined = 1.320e-12 rroots = 2 Sun Mar 20 23:13:31 2016 Sun Mar 20 23:13:31 2016 commencing relation filtering Sun Mar 20 23:13:31 2016 setting target matrix density to 120.0 Sun Mar 20 23:13:31 2016 estimated available RAM is 16039.4 MB Sun Mar 20 23:13:31 2016 commencing duplicate removal, pass 1 Sun Mar 20 23:22:50 2016 error -5 reading relation 81584382 Sun Mar 20 23:22:55 2016 error -9 reading relation 82326827 Sun Mar 20 23:22:56 2016 error -9 reading relation 82409278 Sun Mar 20 23:23:35 2016 error -15 reading relation 88288173 Sun Mar 20 23:23:36 2016 error -15 reading relation 88416218 Sun Mar 20 23:23:37 2016 error -9 reading relation 88612128 Sun Mar 20 23:23:38 2016 error -15 reading relation 88732949 Sun Mar 20 23:23:38 2016 error -1 reading relation 88840421 Sun Mar 20 23:23:39 2016 error -9 reading relation 88910350 Sun Mar 20 23:23:40 2016 error -1 reading relation 89121351 Sun Mar 20 23:24:01 2016 error -1 reading relation 92222366 Sun Mar 20 23:25:22 2016 error -15 reading relation 104247863 Sun Mar 20 23:25:22 2016 error -9 reading relation 104317407 Sun Mar 20 23:25:23 2016 error -15 reading relation 104344284 Sun Mar 20 23:25:23 2016 error -11 reading relation 104344285 Sun Mar 20 23:25:23 2016 error -9 reading relation 104353407 Sun Mar 20 23:25:58 2016 skipped 6 relations with composite factors Sun Mar 20 23:25:58 2016 found 17862190 hash collisions in 109724624 relations Sun Mar 20 23:26:13 2016 added 1219030 free relations Sun Mar 20 23:26:13 2016 commencing duplicate removal, pass 2 Sun Mar 20 23:26:44 2016 found 16131322 duplicates and 94812332 unique relations Sun Mar 20 23:26:44 2016 memory use: 660.8 MB Sun Mar 20 23:26:44 2016 reading ideals above 75956224 Sun Mar 20 23:26:44 2016 commencing singleton removal, initial pass Sun Mar 20 23:34:45 2016 memory use: 1506.0 MB Sun Mar 20 23:34:45 2016 reading all ideals from disk Sun Mar 20 23:34:52 2016 memory use: 1608.5 MB Sun Mar 20 23:34:55 2016 commencing in-memory singleton removal Sun Mar 20 23:34:58 2016 begin with 94812332 relations and 80600417 unique ideals Sun Mar 20 23:35:29 2016 reduce to 58364155 relations and 40105515 ideals in 14 passes Sun Mar 20 23:35:29 2016 max relations containing the same ideal: 40 Sun Mar 20 23:35:32 2016 reading ideals above 720000 Sun Mar 20 23:35:32 2016 commencing singleton removal, initial pass Sun Mar 20 23:41:57 2016 memory use: 1378.0 MB Sun Mar 20 23:41:57 2016 reading all ideals from disk Sun Mar 20 23:41:58 2016 memory use: 2185.6 MB Sun Mar 20 23:42:03 2016 keeping 48697229 ideals with weight <= 200, target excess is 299292 Sun Mar 20 23:42:08 2016 commencing in-memory singleton removal Sun Mar 20 23:42:13 2016 begin with 58364159 relations and 48697229 unique ideals Sun Mar 20 23:42:44 2016 reduce to 58360261 relations and 48693325 ideals in 7 passes Sun Mar 20 23:42:44 2016 max relations containing the same ideal: 200 Sun Mar 20 23:43:07 2016 removing 5631712 relations and 4631712 ideals in 1000000 cliques Sun Mar 20 23:43:08 2016 commencing in-memory singleton removal Sun Mar 20 23:43:12 2016 begin with 52728549 relations and 48693325 unique ideals Sun Mar 20 23:43:42 2016 reduce to 52283852 relations and 43607215 ideals in 8 passes Sun Mar 20 23:43:42 2016 max relations containing the same ideal: 194 Sun Mar 20 23:44:01 2016 removing 4371012 relations and 3371012 ideals in 1000000 cliques Sun Mar 20 23:44:03 2016 commencing in-memory singleton removal Sun Mar 20 23:44:06 2016 begin with 47912840 relations and 43607215 unique ideals Sun Mar 20 23:44:35 2016 reduce to 47623427 relations and 39941073 ideals in 8 passes Sun Mar 20 23:44:35 2016 max relations containing the same ideal: 188 Sun Mar 20 23:44:54 2016 removing 3973872 relations and 2973872 ideals in 1000000 cliques Sun Mar 20 23:44:55 2016 commencing in-memory singleton removal Sun Mar 20 23:44:58 2016 begin with 43649555 relations and 39941073 unique ideals Sun Mar 20 23:45:21 2016 reduce to 43390785 relations and 36703378 ideals in 7 passes Sun Mar 20 23:45:21 2016 max relations containing the same ideal: 178 Sun Mar 20 23:45:38 2016 removing 3765783 relations and 2765783 ideals in 1000000 cliques Sun Mar 20 23:45:39 2016 commencing in-memory singleton removal Sun Mar 20 23:45:42 2016 begin with 39625002 relations and 36703378 unique ideals Sun Mar 20 23:46:05 2016 reduce to 39378764 relations and 33686159 ideals in 8 passes Sun Mar 20 23:46:05 2016 max relations containing the same ideal: 171 Sun Mar 20 23:46:21 2016 removing 3635268 relations and 2635268 ideals in 1000000 cliques Sun Mar 20 23:46:22 2016 commencing in-memory singleton removal Sun Mar 20 23:46:24 2016 begin with 35743496 relations and 33686159 unique ideals Sun Mar 20 23:46:53 2016 reduce to 35496975 relations and 30798821 ideals in 11 passes Sun Mar 20 23:46:53 2016 max relations containing the same ideal: 159 Sun Mar 20 23:47:06 2016 removing 3549698 relations and 2549698 ideals in 1000000 cliques Sun Mar 20 23:47:08 2016 commencing in-memory singleton removal Sun Mar 20 23:47:10 2016 begin with 31947277 relations and 30798821 unique ideals Sun Mar 20 23:47:26 2016 reduce to 31694044 relations and 27989766 ideals in 7 passes Sun Mar 20 23:47:26 2016 max relations containing the same ideal: 142 Sun Mar 20 23:47:38 2016 removing 3490763 relations and 2490763 ideals in 1000000 cliques Sun Mar 20 23:47:40 2016 commencing in-memory singleton removal Sun Mar 20 23:47:41 2016 begin with 28203281 relations and 27989766 unique ideals Sun Mar 20 23:47:54 2016 reduce to 27938100 relations and 25226686 ideals in 8 passes Sun Mar 20 23:47:54 2016 max relations containing the same ideal: 128 Sun Mar 20 23:48:04 2016 removing 3447155 relations and 2447155 ideals in 1000000 cliques Sun Mar 20 23:48:05 2016 commencing in-memory singleton removal Sun Mar 20 23:48:07 2016 begin with 24490945 relations and 25226686 unique ideals Sun Mar 20 23:48:18 2016 reduce to 24203652 relations and 22483479 ideals in 8 passes Sun Mar 20 23:48:18 2016 max relations containing the same ideal: 117 Sun Mar 20 23:48:26 2016 removing 3416615 relations and 2416615 ideals in 1000000 cliques Sun Mar 20 23:48:27 2016 commencing in-memory singleton removal Sun Mar 20 23:48:28 2016 begin with 20787037 relations and 22483479 unique ideals Sun Mar 20 23:48:37 2016 reduce to 20467312 relations and 19735836 ideals in 7 passes Sun Mar 20 23:48:37 2016 max relations containing the same ideal: 105 Sun Mar 20 23:48:44 2016 removing 1575708 relations and 1191411 ideals in 384297 cliques Sun Mar 20 23:48:45 2016 commencing in-memory singleton removal Sun Mar 20 23:48:46 2016 begin with 18891604 relations and 19735836 unique ideals Sun Mar 20 23:48:53 2016 reduce to 18813257 relations and 18464841 ideals in 7 passes Sun Mar 20 23:48:53 2016 max relations containing the same ideal: 97 Sun Mar 20 23:49:03 2016 relations with 0 large ideals: 11164 Sun Mar 20 23:49:03 2016 relations with 1 large ideals: 2935 Sun Mar 20 23:49:03 2016 relations with 2 large ideals: 32149 Sun Mar 20 23:49:03 2016 relations with 3 large ideals: 258133 Sun Mar 20 23:49:03 2016 relations with 4 large ideals: 1126568 Sun Mar 20 23:49:03 2016 relations with 5 large ideals: 2934380 Sun Mar 20 23:49:03 2016 relations with 6 large ideals: 4740132 Sun Mar 20 23:49:03 2016 relations with 7+ large ideals: 9707796 Sun Mar 20 23:49:03 2016 commencing 2-way merge Sun Mar 20 23:49:11 2016 reduce to 12397050 relation sets and 12048634 unique ideals Sun Mar 20 23:49:11 2016 commencing full merge Sun Mar 20 23:53:34 2016 memory use: 1695.3 MB Sun Mar 20 23:53:35 2016 found 5621705 cycles, need 5618834 Sun Mar 20 23:53:36 2016 weight of 5618834 cycles is about 674265219 (120.00/cycle) Sun Mar 20 23:53:36 2016 distribution of cycle lengths: Sun Mar 20 23:53:36 2016 1 relations: 186349 Sun Mar 20 23:53:36 2016 2 relations: 314823 Sun Mar 20 23:53:36 2016 3 relations: 384175 Sun Mar 20 23:53:36 2016 4 relations: 402234 Sun Mar 20 23:53:36 2016 5 relations: 413174 Sun Mar 20 23:53:36 2016 6 relations: 409345 Sun Mar 20 23:53:36 2016 7 relations: 400530 Sun Mar 20 23:53:36 2016 8 relations: 385091 Sun Mar 20 23:53:36 2016 9 relations: 364404 Sun Mar 20 23:53:36 2016 10+ relations: 2358709 Sun Mar 20 23:53:36 2016 heaviest cycle: 28 relations Sun Mar 20 23:53:38 2016 commencing cycle optimization Sun Mar 20 23:53:47 2016 start with 51672324 relations Sun Mar 20 23:55:29 2016 pruned 2489764 relations Sun Mar 20 23:55:29 2016 memory use: 1318.6 MB Sun Mar 20 23:55:29 2016 distribution of cycle lengths: Sun Mar 20 23:55:29 2016 1 relations: 186349 Sun Mar 20 23:55:29 2016 2 relations: 322727 Sun Mar 20 23:55:29 2016 3 relations: 400881 Sun Mar 20 23:55:29 2016 4 relations: 419192 Sun Mar 20 23:55:29 2016 5 relations: 433909 Sun Mar 20 23:55:29 2016 6 relations: 429819 Sun Mar 20 23:55:29 2016 7 relations: 422666 Sun Mar 20 23:55:29 2016 8 relations: 404729 Sun Mar 20 23:55:29 2016 9 relations: 382202 Sun Mar 20 23:55:29 2016 10+ relations: 2216360 Sun Mar 20 23:55:29 2016 heaviest cycle: 28 relations Sun Mar 20 23:55:38 2016 RelProcTime: 2527 Sun Mar 20 23:55:38 2016 Sun Mar 20 23:55:38 2016 commencing linear algebra Sun Mar 20 23:55:38 2016 read 5618834 cycles Sun Mar 20 23:55:48 2016 cycles contain 18626692 unique relations Sun Mar 20 23:57:57 2016 read 18626692 relations Sun Mar 20 23:58:16 2016 using 20 quadratic characters above 4294917295 Sun Mar 20 23:59:30 2016 building initial matrix Mon Mar 21 00:02:49 2016 memory use: 2422.9 MB Mon Mar 21 00:02:52 2016 read 5618834 cycles Mon Mar 21 00:02:52 2016 matrix is 5618657 x 5618834 (2643.3 MB) with weight 757589412 (134.83/col) Mon Mar 21 00:02:52 2016 sparse part has weight 631125994 (112.32/col) Mon Mar 21 00:03:54 2016 filtering completed in 2 passes Mon Mar 21 00:03:55 2016 matrix is 5618636 x 5618813 (2643.3 MB) with weight 757588590 (134.83/col) Mon Mar 21 00:03:55 2016 sparse part has weight 631125644 (112.32/col) Mon Mar 21 00:04:13 2016 matrix starts at (0, 0) Mon Mar 21 00:04:14 2016 matrix is 5618636 x 5618813 (2643.3 MB) with weight 757588590 (134.83/col) Mon Mar 21 00:04:14 2016 sparse part has weight 631125644 (112.32/col) Mon Mar 21 00:04:14 2016 saving the first 48 matrix rows for later Mon Mar 21 00:04:15 2016 matrix includes 64 packed rows Mon Mar 21 00:04:15 2016 matrix is 5618588 x 5618813 (2522.1 MB) with weight 650516699 (115.77/col) Mon Mar 21 00:04:15 2016 sparse part has weight 604962615 (107.67/col) Mon Mar 21 00:04:16 2016 using block size 8192 and superblock size 589824 for processor cache size 6144 kB Mon Mar 21 00:04:36 2016 commencing Lanczos iteration (4 threads) Mon Mar 21 00:04:36 2016 memory use: 2126.2 MB Mon Mar 21 00:04:59 2016 linear algebra at 0.0%, ETA 22h38m Mon Mar 21 00:05:06 2016 checkpointing every 260000 dimensions Mon Mar 21 20:42:54 2016 lanczos halted after 88853 iterations (dim = 5618586) Mon Mar 21 20:43:02 2016 recovered 32 nontrivial dependencies Mon Mar 21 20:43:02 2016 BLanczosTime: 74844 Mon Mar 21 20:43:02 2016 Mon Mar 21 20:43:02 2016 commencing square root phase Mon Mar 21 20:43:02 2016 handling dependencies 1 to 64 Mon Mar 21 20:43:02 2016 reading relations for dependency 1 Mon Mar 21 20:43:03 2016 read 2807361 cycles Mon Mar 21 20:43:07 2016 cycles contain 9308648 unique relations Mon Mar 21 20:44:29 2016 read 9308648 relations Mon Mar 21 20:45:00 2016 multiplying 9308648 relations Mon Mar 21 20:49:43 2016 multiply complete, coefficients have about 251.10 million bits Mon Mar 21 20:49:44 2016 initial square root is modulo 1025807191 Mon Mar 21 20:54:58 2016 sqrtTime: 716 Mon Mar 21 20:54:58 2016 p75 factor: 360547932138944530255229596581938545582982530921247150790017849244519636943 Mon Mar 21 20:54:58 2016 p154 factor: 1540864628621586001898994342634739411239415715115404773592795070915450181433523242067260607019927615178468699069633836071372476654229599569149507101788657 Mon Mar 21 20:54:58 2016 elapsed time 21:41:30