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Sat Mar 19 11:33:38 2016 Sat Mar 19 11:33:38 2016 Sat Mar 19 11:33:38 2016 Msieve v. 1.53 (SVN 988) Sat Mar 19 11:33:38 2016 random seeds: 41676f5e 5995c1f9 Sat Mar 19 11:33:38 2016 factoring 67396473742446277656256954217277625584479601302578823522164265944872775779400867146942596302578680975510512746707431516837825242311593178883042283748467 (152 digits) Sat Mar 19 11:33:39 2016 no P-1/P+1/ECM available, skipping Sat Mar 19 11:33:39 2016 commencing number field sieve (152-digit input) Sat Mar 19 11:33:39 2016 R0: -220977418297617293921859102531 Sat Mar 19 11:33:39 2016 R1: 414296186057323 Sat Mar 19 11:33:39 2016 A0: -2676345750520969345962727001608518548 Sat Mar 19 11:33:39 2016 A1: -9382263438325324390260050919830 Sat Mar 19 11:33:39 2016 A2: 4008662199500978758684164 Sat Mar 19 11:33:39 2016 A3: -13736762637666613 Sat Mar 19 11:33:39 2016 A4: -1679631487576 Sat Mar 19 11:33:39 2016 A5: 127908 Sat Mar 19 11:33:39 2016 skew 1.00, size 8.956e-15, alpha -7.297, combined = 3.767e-14 rroots = 3 Sat Mar 19 11:33:39 2016 Sat Mar 19 11:33:39 2016 commencing relation filtering Sat Mar 19 11:33:39 2016 setting target matrix density to 90.0 Sat Mar 19 11:33:39 2016 estimated available RAM is 7942.3 MB Sat Mar 19 11:33:39 2016 commencing duplicate removal, pass 1 Sat Mar 19 11:37:27 2016 error -15 reading relation 20925250 Sat Mar 19 11:39:26 2016 error -15 reading relation 31884182 Sat Mar 19 11:40:30 2016 error -15 reading relation 37834973 Sat Mar 19 11:40:32 2016 error -9 reading relation 37975517 Sat Mar 19 11:40:33 2016 error -9 reading relation 38107065 Sat Mar 19 11:40:34 2016 error -9 reading relation 38155504 Sat Mar 19 11:40:36 2016 error -1 reading relation 38396919 Sat Mar 19 11:40:37 2016 error -15 reading relation 38447453 Sat Mar 19 11:40:37 2016 error -1 reading relation 38498496 Sat Mar 19 11:40:38 2016 error -5 reading relation 38540227 Sat Mar 19 11:40:49 2016 error -15 reading relation 39613882 Sat Mar 19 11:40:50 2016 error -15 reading relation 39709572 Sat Mar 19 11:40:53 2016 error -15 reading relation 39982807 Sat Mar 19 11:41:07 2016 error -1 reading relation 41275168 Sat Mar 19 11:41:25 2016 error -9 reading relation 42896634 Sat Mar 19 11:41:25 2016 error -15 reading relation 42907350 Sat Mar 19 11:42:04 2016 error -9 reading relation 46477911 Sat Mar 19 11:42:05 2016 error -9 reading relation 46583853 Sat Mar 19 11:42:33 2016 error -9 reading relation 49167620 Sat Mar 19 11:42:35 2016 skipped 10 relations with composite factors Sat Mar 19 11:42:35 2016 found 7480720 hash collisions in 49402239 relations Sat Mar 19 11:43:02 2016 added 122378 free relations Sat Mar 19 11:43:02 2016 commencing duplicate removal, pass 2 Sat Mar 19 11:43:47 2016 found 6688646 duplicates and 42835971 unique relations Sat Mar 19 11:43:47 2016 memory use: 213.2 MB Sat Mar 19 11:43:47 2016 reading ideals above 33357824 Sat Mar 19 11:43:47 2016 commencing singleton removal, initial pass Sat Mar 19 11:50:19 2016 memory use: 753.0 MB Sat Mar 19 11:50:19 2016 reading all ideals from disk Sat Mar 19 11:50:20 2016 memory use: 804.2 MB Sat Mar 19 11:50:21 2016 commencing in-memory singleton removal Sat Mar 19 11:50:22 2016 begin with 42835971 relations and 38945695 unique ideals Sat Mar 19 11:50:35 2016 reduce to 23023641 relations and 16438182 ideals in 14 passes Sat Mar 19 11:50:35 2016 max relations containing the same ideal: 30 Sat Mar 19 11:50:36 2016 reading ideals above 720000 Sat Mar 19 11:50:36 2016 commencing singleton removal, initial pass Sat Mar 19 11:54:52 2016 memory use: 376.5 MB Sat Mar 19 11:54:52 2016 reading all ideals from disk Sat Mar 19 11:54:52 2016 memory use: 815.0 MB Sat Mar 19 11:54:54 2016 keeping 20397876 ideals with weight <= 200, target excess is 144724 Sat Mar 19 11:54:55 2016 commencing in-memory singleton removal Sat Mar 19 11:54:57 2016 begin with 23023652 relations and 20397876 unique ideals Sat Mar 19 11:55:13 2016 reduce to 23013533 relations and 20387714 ideals in 10 passes Sat Mar 19 11:55:13 2016 max relations containing the same ideal: 200 Sat Mar 19 11:55:22 2016 removing 2410184 relations and 2010184 ideals in 400000 cliques Sat Mar 19 11:55:22 2016 commencing in-memory singleton removal Sat Mar 19 11:55:24 2016 begin with 20603349 relations and 20387714 unique ideals Sat Mar 19 11:55:37 2016 reduce to 20454744 relations and 18225773 ideals in 9 passes Sat Mar 19 11:55:37 2016 max relations containing the same ideal: 191 Sat Mar 19 11:55:45 2016 removing 1777381 relations and 1377381 ideals in 400000 cliques Sat Mar 19 11:55:45 2016 commencing in-memory singleton removal Sat Mar 19 11:55:46 2016 begin with 18677363 relations and 18225773 unique ideals Sat Mar 19 11:55:56 2016 reduce to 18585523 relations and 16754770 ideals in 7 passes Sat Mar 19 11:55:56 2016 max relations containing the same ideal: 182 Sat Mar 19 11:56:03 2016 removing 1576303 relations and 1176303 ideals in 400000 cliques Sat Mar 19 11:56:03 2016 commencing in-memory singleton removal Sat Mar 19 11:56:04 2016 begin with 17009220 relations and 16754770 unique ideals Sat Mar 19 11:56:12 2016 reduce to 16929810 relations and 15497542 ideals in 7 passes Sat Mar 19 11:56:12 2016 max relations containing the same ideal: 174 Sat Mar 19 11:56:19 2016 removing 1466837 relations and 1066837 ideals in 400000 cliques Sat Mar 19 11:56:19 2016 commencing in-memory singleton removal Sat Mar 19 11:56:20 2016 begin with 15462973 relations and 15497542 unique ideals Sat Mar 19 11:56:27 2016 reduce to 15388589 relations and 14354765 ideals in 6 passes Sat Mar 19 11:56:27 2016 max relations containing the same ideal: 164 Sat Mar 19 11:56:32 2016 removing 1395778 relations and 995778 ideals in 400000 cliques Sat Mar 19 11:56:33 2016 commencing in-memory singleton removal Sat Mar 19 11:56:34 2016 begin with 13992811 relations and 14354765 unique ideals Sat Mar 19 11:56:41 2016 reduce to 13917942 relations and 13282533 ideals in 7 passes Sat Mar 19 11:56:41 2016 max relations containing the same ideal: 148 Sat Mar 19 11:56:46 2016 removing 1348834 relations and 948834 ideals in 400000 cliques Sat Mar 19 11:56:46 2016 commencing in-memory singleton removal Sat Mar 19 11:56:47 2016 begin with 12569108 relations and 13282533 unique ideals Sat Mar 19 11:56:53 2016 reduce to 12488850 relations and 12251554 ideals in 7 passes Sat Mar 19 11:56:53 2016 max relations containing the same ideal: 138 Sat Mar 19 11:56:58 2016 removing 313915 relations and 244499 ideals in 69416 cliques Sat Mar 19 11:56:58 2016 commencing in-memory singleton removal Sat Mar 19 11:56:59 2016 begin with 12174935 relations and 12251554 unique ideals Sat Mar 19 11:57:03 2016 reduce to 12170785 relations and 12002887 ideals in 5 passes Sat Mar 19 11:57:03 2016 max relations containing the same ideal: 135 Sat Mar 19 11:57:05 2016 relations with 0 large ideals: 497 Sat Mar 19 11:57:05 2016 relations with 1 large ideals: 579 Sat Mar 19 11:57:05 2016 relations with 2 large ideals: 9780 Sat Mar 19 11:57:05 2016 relations with 3 large ideals: 96309 Sat Mar 19 11:57:05 2016 relations with 4 large ideals: 499310 Sat Mar 19 11:57:05 2016 relations with 5 large ideals: 1522936 Sat Mar 19 11:57:05 2016 relations with 6 large ideals: 2878252 Sat Mar 19 11:57:05 2016 relations with 7+ large ideals: 7163122 Sat Mar 19 11:57:05 2016 commencing 2-way merge Sat Mar 19 11:57:11 2016 reduce to 8475177 relation sets and 8307279 unique ideals Sat Mar 19 11:57:11 2016 commencing full merge Sat Mar 19 11:59:12 2016 memory use: 990.5 MB Sat Mar 19 11:59:13 2016 found 4109939 cycles, need 4087479 Sat Mar 19 11:59:14 2016 weight of 4087479 cycles is about 367914935 (90.01/cycle) Sat Mar 19 11:59:14 2016 distribution of cycle lengths: Sat Mar 19 11:59:14 2016 1 relations: 128997 Sat Mar 19 11:59:14 2016 2 relations: 320973 Sat Mar 19 11:59:14 2016 3 relations: 415449 Sat Mar 19 11:59:14 2016 4 relations: 440328 Sat Mar 19 11:59:14 2016 5 relations: 445149 Sat Mar 19 11:59:14 2016 6 relations: 414690 Sat Mar 19 11:59:14 2016 7 relations: 380104 Sat Mar 19 11:59:14 2016 8 relations: 332447 Sat Mar 19 11:59:14 2016 9 relations: 284433 Sat Mar 19 11:59:14 2016 10+ relations: 924909 Sat Mar 19 11:59:14 2016 heaviest cycle: 22 relations Sat Mar 19 11:59:14 2016 commencing cycle optimization Sat Mar 19 11:59:21 2016 start with 27843155 relations Sat Mar 19 12:00:00 2016 pruned 1093593 relations Sat Mar 19 12:00:00 2016 memory use: 804.0 MB Sat Mar 19 12:00:00 2016 distribution of cycle lengths: Sat Mar 19 12:00:00 2016 1 relations: 128997 Sat Mar 19 12:00:00 2016 2 relations: 330849 Sat Mar 19 12:00:00 2016 3 relations: 437491 Sat Mar 19 12:00:00 2016 4 relations: 460680 Sat Mar 19 12:00:00 2016 5 relations: 466872 Sat Mar 19 12:00:00 2016 6 relations: 430802 Sat Mar 19 12:00:00 2016 7 relations: 392892 Sat Mar 19 12:00:00 2016 8 relations: 338420 Sat Mar 19 12:00:00 2016 9 relations: 284419 Sat Mar 19 12:00:00 2016 10+ relations: 816057 Sat Mar 19 12:00:00 2016 heaviest cycle: 22 relations Sat Mar 19 12:00:05 2016 RelProcTime: 1586 Sat Mar 19 12:00:05 2016 Sat Mar 19 12:17:21 2016 commencing linear algebra Sat Mar 19 12:17:22 2016 read 4087479 cycles Sat Mar 19 12:17:28 2016 cycles contain 12098020 unique relations Sat Mar 19 12:19:40 2016 read 12098020 relations Sat Mar 19 12:19:54 2016 using 20 quadratic characters above 4294917295 Sat Mar 19 12:20:41 2016 building initial matrix Sat Mar 19 12:22:32 2016 memory use: 1670.2 MB Sat Mar 19 12:22:33 2016 read 4087479 cycles Sat Mar 19 12:22:34 2016 matrix is 4087302 x 4087479 (1512.9 MB) with weight 478325601 (117.02/col) Sat Mar 19 12:22:34 2016 sparse part has weight 347560049 (85.03/col) Sat Mar 19 12:23:13 2016 filtering completed in 2 passes Sat Mar 19 12:23:13 2016 matrix is 4087244 x 4087421 (1512.9 MB) with weight 478323081 (117.02/col) Sat Mar 19 12:23:13 2016 sparse part has weight 347559370 (85.03/col) Sat Mar 19 12:23:21 2016 matrix starts at (0, 0) Sat Mar 19 12:23:21 2016 matrix is 4087244 x 4087421 (1512.9 MB) with weight 478323081 (117.02/col) Sat Mar 19 12:23:21 2016 sparse part has weight 347559370 (85.03/col) Sat Mar 19 12:23:21 2016 saving the first 48 matrix rows for later Sat Mar 19 12:23:22 2016 matrix includes 64 packed rows Sat Mar 19 12:23:22 2016 matrix is 4087196 x 4087421 (1472.9 MB) with weight 394510813 (96.52/col) Sat Mar 19 12:23:22 2016 sparse part has weight 345247593 (84.47/col) Sat Mar 19 12:23:22 2016 using block size 8192 and superblock size 589824 for processor cache size 6144 kB Sat Mar 19 12:23:36 2016 commencing Lanczos iteration (4 threads) Sat Mar 19 12:23:36 2016 memory use: 1197.3 MB Sat Mar 19 12:23:50 2016 linear algebra at 0.0%, ETA 10h28m Sat Mar 19 12:23:54 2016 checkpointing every 410000 dimensions Sat Mar 19 21:50:06 2016 lanczos halted after 64634 iterations (dim = 4087194) Sat Mar 19 21:50:10 2016 recovered 29 nontrivial dependencies Sat Mar 19 21:50:10 2016 BLanczosTime: 34369 Sat Mar 19 21:50:10 2016 Sat Mar 19 21:50:10 2016 commencing square root phase Sat Mar 19 21:50:10 2016 reading relations for dependency 1 Sat Mar 19 21:50:10 2016 read 2043761 cycles Sat Mar 19 21:50:13 2016 cycles contain 6050752 unique relations Sat Mar 19 21:51:39 2016 read 6050752 relations Sat Mar 19 21:52:09 2016 multiplying 6050752 relations Sat Mar 19 21:57:48 2016 multiply complete, coefficients have about 321.83 million bits Sat Mar 19 21:57:50 2016 initial square root is modulo 595313 Sat Mar 19 22:05:10 2016 sqrtTime: 900 Sat Mar 19 22:05:10 2016 p67 factor: 2668400554531314975973645152119742976041832327640414634947565752407 Sat Mar 19 22:05:10 2016 p86 factor: 25257255185319797278196990545359279076105045141113879192452842595315390222372208800581 Sat Mar 19 22:05:10 2016 elapsed time 09:47:50
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