Fri Apr 8 16:34:49 2016 Fri Apr 8 16:34:49 2016 Fri Apr 8 16:34:49 2016 Msieve v. 1.53 (SVN 984M) Fri Apr 8 16:34:49 2016 random seeds: 7719b786 8b41ea2b Fri Apr 8 16:34:49 2016 MPI process 0 of 1 Fri Apr 8 16:34:49 2016 factoring 132969733253052640228386224513225581707630279438320402465924145095784394140253107724279409853935760623184944447479071794346323142302428717754818753999758642803778619334521 (171 digits) Fri Apr 8 16:34:49 2016 commencing number field sieve (171-digit input) Fri Apr 8 16:34:49 2016 R0: -1164175380274048 Fri Apr 8 16:34:49 2016 R1: 17135833820132164693504609167575836181640625 Fri Apr 8 16:34:49 2016 A0: 1225 Fri Apr 8 16:34:49 2016 A1: 0 Fri Apr 8 16:34:49 2016 A2: 0 Fri Apr 8 16:34:49 2016 A3: 0 Fri Apr 8 16:34:49 2016 A4: 0 Fri Apr 8 16:34:49 2016 A5: 1 Fri Apr 8 16:34:49 2016 skew 1.00, size 2.847e-15, alpha 1.029, combined = 1.985e-12 rroots = 1 Fri Apr 8 16:34:49 2016 Fri Apr 8 16:34:49 2016 commencing relation filtering Fri Apr 8 16:34:49 2016 setting target matrix density to 90.0 Fri Apr 8 16:34:49 2016 estimated available RAM is 16009.0 MB Fri Apr 8 16:34:49 2016 commencing duplicate removal, pass 1 Fri Apr 8 16:45:18 2016 error -15 reading relation 82163297 Fri Apr 8 16:45:29 2016 error -9 reading relation 83567531 Fri Apr 8 16:47:22 2016 error -5 reading relation 98092832 Fri Apr 8 16:48:04 2016 error -9 reading relation 103506412 Fri Apr 8 16:48:10 2016 error -15 reading relation 104349042 Fri Apr 8 16:48:25 2016 error -9 reading relation 106365130 Fri Apr 8 16:48:26 2016 error -15 reading relation 106424552 Fri Apr 8 16:48:27 2016 error -1 reading relation 106554097 Fri Apr 8 16:49:23 2016 skipped 3 relations with b > 2^32 Fri Apr 8 16:49:23 2016 skipped 1 relations with composite factors Fri Apr 8 16:49:23 2016 found 16456362 hash collisions in 113937347 relations Fri Apr 8 16:49:50 2016 added 731650 free relations Fri Apr 8 16:49:50 2016 commencing duplicate removal, pass 2 Fri Apr 8 16:51:55 2016 found 13822459 duplicates and 100846538 unique relations Fri Apr 8 16:51:55 2016 memory use: 660.8 MB Fri Apr 8 16:51:55 2016 reading ideals above 59965440 Fri Apr 8 16:51:55 2016 commencing singleton removal, initial pass Fri Apr 8 17:02:04 2016 memory use: 2756.0 MB Fri Apr 8 17:02:04 2016 reading all ideals from disk Fri Apr 8 17:02:19 2016 memory use: 1763.6 MB Fri Apr 8 17:02:23 2016 commencing in-memory singleton removal Fri Apr 8 17:02:26 2016 begin with 100846538 relations and 83583501 unique ideals Fri Apr 8 17:03:02 2016 reduce to 66041634 relations and 45260587 ideals in 13 passes Fri Apr 8 17:03:02 2016 max relations containing the same ideal: 59 Fri Apr 8 17:03:06 2016 reading ideals above 720000 Fri Apr 8 17:03:06 2016 commencing singleton removal, initial pass Fri Apr 8 17:11:38 2016 memory use: 1378.0 MB Fri Apr 8 17:11:38 2016 reading all ideals from disk Fri Apr 8 17:11:55 2016 memory use: 2449.2 MB Fri Apr 8 17:12:01 2016 keeping 52040746 ideals with weight <= 200, target excess is 342618 Fri Apr 8 17:12:07 2016 commencing in-memory singleton removal Fri Apr 8 17:12:12 2016 begin with 66041636 relations and 52040746 unique ideals Fri Apr 8 17:12:38 2016 reduce to 66041468 relations and 52040573 ideals in 5 passes Fri Apr 8 17:12:38 2016 max relations containing the same ideal: 200 Fri Apr 8 17:13:05 2016 removing 8663513 relations and 6663513 ideals in 2000000 cliques Fri Apr 8 17:13:07 2016 commencing in-memory singleton removal Fri Apr 8 17:13:11 2016 begin with 57377955 relations and 52040573 unique ideals Fri Apr 8 17:13:47 2016 reduce to 56479128 relations and 44445154 ideals in 8 passes Fri Apr 8 17:13:47 2016 max relations containing the same ideal: 191 Fri Apr 8 17:14:11 2016 removing 6859006 relations and 4859006 ideals in 2000000 cliques Fri Apr 8 17:14:13 2016 commencing in-memory singleton removal Fri Apr 8 17:14:16 2016 begin with 49620122 relations and 44445154 unique ideals Fri Apr 8 17:14:43 2016 reduce to 48982298 relations and 38926266 ideals in 7 passes Fri Apr 8 17:14:43 2016 max relations containing the same ideal: 173 Fri Apr 8 17:15:04 2016 removing 6366190 relations and 4366190 ideals in 2000000 cliques Fri Apr 8 17:15:06 2016 commencing in-memory singleton removal Fri Apr 8 17:15:09 2016 begin with 42616108 relations and 38926266 unique ideals Fri Apr 8 17:15:35 2016 reduce to 42020366 relations and 33942011 ideals in 8 passes Fri Apr 8 17:15:35 2016 max relations containing the same ideal: 159 Fri Apr 8 17:15:53 2016 removing 6135483 relations and 4135483 ideals in 2000000 cliques Fri Apr 8 17:15:55 2016 commencing in-memory singleton removal Fri Apr 8 17:15:57 2016 begin with 35884883 relations and 33942011 unique ideals Fri Apr 8 17:16:18 2016 reduce to 35275555 relations and 29171506 ideals in 8 passes Fri Apr 8 17:16:18 2016 max relations containing the same ideal: 140 Fri Apr 8 17:16:34 2016 removing 5998968 relations and 3998968 ideals in 2000000 cliques Fri Apr 8 17:16:36 2016 commencing in-memory singleton removal Fri Apr 8 17:16:37 2016 begin with 29276587 relations and 29171506 unique ideals Fri Apr 8 17:16:54 2016 reduce to 28607898 relations and 24470879 ideals in 8 passes Fri Apr 8 17:16:54 2016 max relations containing the same ideal: 120 Fri Apr 8 17:17:07 2016 removing 5931368 relations and 3931368 ideals in 2000000 cliques Fri Apr 8 17:17:09 2016 commencing in-memory singleton removal Fri Apr 8 17:17:10 2016 begin with 22676530 relations and 24470879 unique ideals Fri Apr 8 17:17:23 2016 reduce to 21893670 relations and 19708997 ideals in 8 passes Fri Apr 8 17:17:23 2016 max relations containing the same ideal: 103 Fri Apr 8 17:17:32 2016 removing 5374942 relations and 3587706 ideals in 1787236 cliques Fri Apr 8 17:17:34 2016 commencing in-memory singleton removal Fri Apr 8 17:17:35 2016 begin with 16518728 relations and 19708997 unique ideals Fri Apr 8 17:17:45 2016 reduce to 15670444 relations and 15211477 ideals in 9 passes Fri Apr 8 17:17:45 2016 max relations containing the same ideal: 78 Fri Apr 8 17:17:51 2016 removing 369788 relations and 308258 ideals in 61530 cliques Fri Apr 8 17:17:52 2016 commencing in-memory singleton removal Fri Apr 8 17:17:53 2016 begin with 15300656 relations and 15211477 unique ideals Fri Apr 8 17:17:59 2016 reduce to 15294478 relations and 14897015 ideals in 6 passes Fri Apr 8 17:17:59 2016 max relations containing the same ideal: 76 Fri Apr 8 17:18:02 2016 relations with 0 large ideals: 7092 Fri Apr 8 17:18:02 2016 relations with 1 large ideals: 2972 Fri Apr 8 17:18:02 2016 relations with 2 large ideals: 49409 Fri Apr 8 17:18:02 2016 relations with 3 large ideals: 356535 Fri Apr 8 17:18:02 2016 relations with 4 large ideals: 1358768 Fri Apr 8 17:18:02 2016 relations with 5 large ideals: 3036464 Fri Apr 8 17:18:02 2016 relations with 6 large ideals: 4312247 Fri Apr 8 17:18:02 2016 relations with 7+ large ideals: 6170991 Fri Apr 8 17:18:02 2016 commencing 2-way merge Fri Apr 8 17:18:10 2016 reduce to 9891466 relation sets and 9494003 unique ideals Fri Apr 8 17:18:10 2016 commencing full merge Fri Apr 8 17:20:52 2016 memory use: 1248.7 MB Fri Apr 8 17:20:53 2016 found 4936804 cycles, need 4886203 Fri Apr 8 17:20:54 2016 weight of 4886203 cycles is about 440003511 (90.05/cycle) Fri Apr 8 17:20:54 2016 distribution of cycle lengths: Fri Apr 8 17:20:54 2016 1 relations: 316170 Fri Apr 8 17:20:54 2016 2 relations: 424315 Fri Apr 8 17:20:54 2016 3 relations: 470033 Fri Apr 8 17:20:54 2016 4 relations: 477715 Fri Apr 8 17:20:54 2016 5 relations: 474687 Fri Apr 8 17:20:54 2016 6 relations: 447171 Fri Apr 8 17:20:54 2016 7 relations: 413789 Fri Apr 8 17:20:54 2016 8 relations: 365290 Fri Apr 8 17:20:54 2016 9 relations: 314494 Fri Apr 8 17:20:54 2016 10+ relations: 1182539 Fri Apr 8 17:20:54 2016 heaviest cycle: 25 relations Fri Apr 8 17:20:56 2016 commencing cycle optimization Fri Apr 8 17:21:02 2016 start with 33385072 relations Fri Apr 8 17:21:50 2016 pruned 1247889 relations Fri Apr 8 17:21:50 2016 memory use: 979.7 MB Fri Apr 8 17:21:50 2016 distribution of cycle lengths: Fri Apr 8 17:21:50 2016 1 relations: 316170 Fri Apr 8 17:21:50 2016 2 relations: 434586 Fri Apr 8 17:21:50 2016 3 relations: 490096 Fri Apr 8 17:21:50 2016 4 relations: 496171 Fri Apr 8 17:21:50 2016 5 relations: 496223 Fri Apr 8 17:21:50 2016 6 relations: 465503 Fri Apr 8 17:21:50 2016 7 relations: 429148 Fri Apr 8 17:21:50 2016 8 relations: 374392 Fri Apr 8 17:21:50 2016 9 relations: 317513 Fri Apr 8 17:21:50 2016 10+ relations: 1066401 Fri Apr 8 17:21:50 2016 heaviest cycle: 24 relations Fri Apr 8 17:21:56 2016 RelProcTime: 2827 Fri Apr 8 17:21:56 2016 Fri Apr 8 17:21:56 2016 commencing linear algebra Fri Apr 8 17:21:58 2016 initialized process (0,0) of 1 x 1 grid Fri Apr 8 17:21:59 2016 read 4886203 cycles Fri Apr 8 17:22:06 2016 cycles contain 15076209 unique relations Fri Apr 8 17:24:44 2016 read 15076209 relations Fri Apr 8 17:25:01 2016 using 20 quadratic characters above 4294917295 Fri Apr 8 17:25:58 2016 building initial matrix Fri Apr 8 17:28:07 2016 memory use: 1868.8 MB Fri Apr 8 17:28:10 2016 read 4886203 cycles Fri Apr 8 17:28:11 2016 matrix is 4886024 x 4886203 (1796.8 MB) with weight 518390656 (106.09/col) Fri Apr 8 17:28:11 2016 sparse part has weight 417279692 (85.40/col) Fri Apr 8 17:28:53 2016 filtering completed in 2 passes Fri Apr 8 17:28:54 2016 matrix is 4885587 x 4885766 (1796.8 MB) with weight 518377258 (106.10/col) Fri Apr 8 17:28:54 2016 sparse part has weight 417275178 (85.41/col) Fri Apr 8 17:29:21 2016 matrix starts at (0, 0) Fri Apr 8 17:29:21 2016 matrix is 4885587 x 4885766 (1796.8 MB) with weight 518377258 (106.10/col) Fri Apr 8 17:29:21 2016 sparse part has weight 417275178 (85.41/col) Fri Apr 8 17:29:21 2016 saving the first 48 matrix rows for later Fri Apr 8 17:29:22 2016 matrix includes 64 packed rows Fri Apr 8 17:29:22 2016 matrix is 4885539 x 4885766 (1712.2 MB) with weight 429923694 (88.00/col) Fri Apr 8 17:29:22 2016 sparse part has weight 399988818 (81.87/col) Fri Apr 8 17:29:22 2016 using block size 8192 and superblock size 786432 for processor cache size 8192 kB Fri Apr 8 17:29:37 2016 commencing Lanczos iteration (4 threads) Fri Apr 8 17:29:37 2016 memory use: 1425.9 MB Fri Apr 8 17:29:56 2016 linear algebra at 0.0%, ETA 16h 8m Fri Apr 8 17:30:03 2016 checkpointing every 300000 dimensions Sat Apr 9 08:15:59 2016 lanczos halted after 77259 iterations (dim = 4885537) Sat Apr 9 08:16:03 2016 recovered 37 nontrivial dependencies Sat Apr 9 08:16:03 2016 BLanczosTime: 53647 Sat Apr 9 08:16:03 2016 Sat Apr 9 08:16:03 2016 commencing square root phase Sat Apr 9 08:16:04 2016 handling dependencies 1 to 64 Sat Apr 9 08:16:04 2016 reading relations for dependency 1 Sat Apr 9 08:16:05 2016 read 2443196 cycles Sat Apr 9 08:16:08 2016 cycles contain 7538752 unique relations Sat Apr 9 08:18:14 2016 read 7538752 relations Sat Apr 9 08:18:43 2016 multiplying 7538752 relations Sat Apr 9 08:21:48 2016 multiply complete, coefficients have about 193.02 million bits Sat Apr 9 08:21:48 2016 initial square root is modulo 8455091 Sat Apr 9 08:25:42 2016 sqrtTime: 579 Sat Apr 9 08:25:42 2016 p89 factor: 11739546567559064250651915743676557891409444337785903694287862243837037617568535730366483 Sat Apr 9 08:25:42 2016 elapsed time 15:50:53