Fri Jan 11 11:20:49 2019 Fri Jan 11 11:20:49 2019 Fri Jan 11 11:20:49 2019 Msieve v. 1.53 (SVN 988M) Fri Jan 11 11:20:49 2019 random seeds: e8b6a7ec 7cd45c28 Fri Jan 11 11:20:49 2019 factoring 6127368499302333566542960913699244704135400419071799762455487476444627184333737485894300248614976586511501348870590727550339528695065809797759587028976400496039899578394419927940476905239060426111866122760490869167 (214 digits) Fri Jan 11 11:20:51 2019 searching for 15-digit factors Fri Jan 11 11:20:53 2019 commencing number field sieve (214-digit input) Fri Jan 11 11:20:53 2019 R0: 15149342268498533690369019236867927041 Fri Jan 11 11:20:53 2019 R1: -1 Fri Jan 11 11:20:53 2019 A0: -44417 Fri Jan 11 11:20:53 2019 A1: 0 Fri Jan 11 11:20:53 2019 A2: 0 Fri Jan 11 11:20:53 2019 A3: 0 Fri Jan 11 11:20:53 2019 A4: 0 Fri Jan 11 11:20:53 2019 A5: 0 Fri Jan 11 11:20:53 2019 A6: 1 Fri Jan 11 11:20:53 2019 skew 5.95, size 2.411e-11, alpha 0.680, combined = 1.225e-12 rroots = 2 Fri Jan 11 11:20:53 2019 Fri Jan 11 11:20:53 2019 commencing relation filtering Fri Jan 11 11:20:53 2019 setting target matrix density to 124.0 Fri Jan 11 11:20:53 2019 estimated available RAM is 65536.0 MB Fri Jan 11 11:20:53 2019 commencing duplicate removal, pass 1 Fri Jan 11 11:21:41 2019 error -15 reading relation 4877995 [354 more error lines] Fri Jan 11 11:41:57 2019 error -1 reading relation 129459090 Fri Jan 11 11:42:19 2019 skipped 242 relations with composite factors Fri Jan 11 11:42:19 2019 found 21736676 hash collisions in 130868629 relations Fri Jan 11 11:42:33 2019 commencing duplicate removal, pass 2 Fri Jan 11 11:44:55 2019 found 21539519 duplicates and 109329110 unique relations Fri Jan 11 11:44:55 2019 memory use: 788.8 MB Fri Jan 11 11:44:55 2019 reading ideals above 720000 Fri Jan 11 11:44:56 2019 commencing singleton removal, initial pass Fri Jan 11 12:03:01 2019 memory use: 2756.0 MB Fri Jan 11 12:03:01 2019 reading all ideals from disk Fri Jan 11 12:03:04 2019 memory use: 4082.2 MB Fri Jan 11 12:03:16 2019 keeping 92135882 ideals with weight <= 200, target excess is 568335 Fri Jan 11 12:03:30 2019 commencing in-memory singleton removal Fri Jan 11 12:03:40 2019 begin with 109329110 relations and 92135882 unique ideals Fri Jan 11 12:05:28 2019 reduce to 77432952 relations and 57443393 ideals in 12 passes Fri Jan 11 12:05:28 2019 max relations containing the same ideal: 169 Fri Jan 11 12:06:04 2019 removing 7986217 relations and 5986217 ideals in 2000000 cliques Fri Jan 11 12:06:07 2019 commencing in-memory singleton removal Fri Jan 11 12:06:13 2019 begin with 69446735 relations and 57443393 unique ideals Fri Jan 11 12:07:06 2019 reduce to 68783675 relations and 50773171 ideals in 7 passes Fri Jan 11 12:07:06 2019 max relations containing the same ideal: 161 Fri Jan 11 12:07:37 2019 removing 6409786 relations and 4409786 ideals in 2000000 cliques Fri Jan 11 12:07:41 2019 commencing in-memory singleton removal Fri Jan 11 12:07:46 2019 begin with 62373889 relations and 50773171 unique ideals Fri Jan 11 12:08:26 2019 reduce to 61917341 relations and 45893768 ideals in 6 passes Fri Jan 11 12:08:26 2019 max relations containing the same ideal: 149 Fri Jan 11 12:08:55 2019 removing 5960084 relations and 3960084 ideals in 2000000 cliques Fri Jan 11 12:08:58 2019 commencing in-memory singleton removal Fri Jan 11 12:09:03 2019 begin with 55957257 relations and 45893768 unique ideals Fri Jan 11 12:09:44 2019 reduce to 55552430 relations and 41516609 ideals in 7 passes Fri Jan 11 12:09:44 2019 max relations containing the same ideal: 139 Fri Jan 11 12:10:10 2019 removing 5727948 relations and 3727948 ideals in 2000000 cliques Fri Jan 11 12:10:13 2019 commencing in-memory singleton removal Fri Jan 11 12:10:17 2019 begin with 49824482 relations and 41516609 unique ideals Fri Jan 11 12:10:54 2019 reduce to 49438763 relations and 37390488 ideals in 7 passes Fri Jan 11 12:10:54 2019 max relations containing the same ideal: 130 Fri Jan 11 12:11:17 2019 removing 5576899 relations and 3576899 ideals in 2000000 cliques Fri Jan 11 12:11:19 2019 commencing in-memory singleton removal Fri Jan 11 12:11:23 2019 begin with 43861864 relations and 37390488 unique ideals Fri Jan 11 12:11:55 2019 reduce to 43476569 relations and 33414788 ideals in 7 passes Fri Jan 11 12:11:55 2019 max relations containing the same ideal: 117 Fri Jan 11 12:12:15 2019 removing 5467309 relations and 3467309 ideals in 2000000 cliques Fri Jan 11 12:12:18 2019 commencing in-memory singleton removal Fri Jan 11 12:12:20 2019 begin with 38009260 relations and 33414788 unique ideals Fri Jan 11 12:12:43 2019 reduce to 37616925 relations and 29539862 ideals in 6 passes Fri Jan 11 12:12:43 2019 max relations containing the same ideal: 105 Fri Jan 11 12:13:01 2019 removing 5381396 relations and 3381396 ideals in 2000000 cliques Fri Jan 11 12:13:03 2019 commencing in-memory singleton removal Fri Jan 11 12:13:06 2019 begin with 32235529 relations and 29539862 unique ideals Fri Jan 11 12:13:25 2019 reduce to 31821927 relations and 25726455 ideals in 6 passes Fri Jan 11 12:13:25 2019 max relations containing the same ideal: 98 Fri Jan 11 12:13:40 2019 removing 5302208 relations and 3302208 ideals in 2000000 cliques Fri Jan 11 12:13:42 2019 commencing in-memory singleton removal Fri Jan 11 12:13:44 2019 begin with 26519719 relations and 25726455 unique ideals Fri Jan 11 12:13:59 2019 reduce to 26068803 relations and 21950294 ideals in 6 passes Fri Jan 11 12:13:59 2019 max relations containing the same ideal: 83 Fri Jan 11 12:14:11 2019 removing 5221995 relations and 3221995 ideals in 2000000 cliques Fri Jan 11 12:14:13 2019 commencing in-memory singleton removal Fri Jan 11 12:14:15 2019 begin with 20846808 relations and 21950294 unique ideals Fri Jan 11 12:14:28 2019 reduce to 20329911 relations and 18179255 ideals in 7 passes Fri Jan 11 12:14:28 2019 max relations containing the same ideal: 71 Fri Jan 11 12:14:38 2019 removing 3999460 relations and 2508073 ideals in 1491387 cliques Fri Jan 11 12:14:40 2019 commencing in-memory singleton removal Fri Jan 11 12:14:41 2019 begin with 16330451 relations and 18179255 unique ideals Fri Jan 11 12:14:51 2019 reduce to 15873501 relations and 15185586 ideals in 7 passes Fri Jan 11 12:14:51 2019 max relations containing the same ideal: 61 Fri Jan 11 12:14:58 2019 removing 149508 relations and 120862 ideals in 28646 cliques Fri Jan 11 12:14:59 2019 commencing in-memory singleton removal Fri Jan 11 12:15:00 2019 begin with 15723993 relations and 15185586 unique ideals Fri Jan 11 12:15:07 2019 reduce to 15722692 relations and 15063419 ideals in 5 passes Fri Jan 11 12:15:07 2019 max relations containing the same ideal: 60 Fri Jan 11 12:15:10 2019 relations with 0 large ideals: 20501 Fri Jan 11 12:15:10 2019 relations with 1 large ideals: 16942 Fri Jan 11 12:15:10 2019 relations with 2 large ideals: 177110 Fri Jan 11 12:15:10 2019 relations with 3 large ideals: 924848 Fri Jan 11 12:15:10 2019 relations with 4 large ideals: 2542133 Fri Jan 11 12:15:10 2019 relations with 5 large ideals: 4063283 Fri Jan 11 12:15:10 2019 relations with 6 large ideals: 4003429 Fri Jan 11 12:15:10 2019 relations with 7+ large ideals: 3974446 Fri Jan 11 12:15:10 2019 commencing 2-way merge Fri Jan 11 12:15:20 2019 reduce to 11137983 relation sets and 10478710 unique ideals Fri Jan 11 12:15:20 2019 commencing full merge Fri Jan 11 12:19:46 2019 memory use: 1334.1 MB Fri Jan 11 12:19:48 2019 found 4930859 cycles, need 4892910 Fri Jan 11 12:19:49 2019 weight of 4892910 cycles is about 607180909 (124.09/cycle) Fri Jan 11 12:19:49 2019 distribution of cycle lengths: Fri Jan 11 12:19:49 2019 1 relations: 102733 Fri Jan 11 12:19:49 2019 2 relations: 227171 Fri Jan 11 12:19:49 2019 3 relations: 310579 Fri Jan 11 12:19:49 2019 4 relations: 348165 Fri Jan 11 12:19:49 2019 5 relations: 379093 Fri Jan 11 12:19:49 2019 6 relations: 388001 Fri Jan 11 12:19:49 2019 7 relations: 385100 Fri Jan 11 12:19:49 2019 8 relations: 370453 Fri Jan 11 12:19:49 2019 9 relations: 345158 Fri Jan 11 12:19:49 2019 10+ relations: 2036457 Fri Jan 11 12:19:49 2019 heaviest cycle: 28 relations Fri Jan 11 12:19:51 2019 commencing cycle optimization Fri Jan 11 12:20:05 2019 start with 45101688 relations Fri Jan 11 12:22:26 2019 pruned 2591693 relations Fri Jan 11 12:22:26 2019 memory use: 1117.5 MB Fri Jan 11 12:22:26 2019 distribution of cycle lengths: Fri Jan 11 12:22:26 2019 1 relations: 102733 Fri Jan 11 12:22:26 2019 2 relations: 234220 Fri Jan 11 12:22:26 2019 3 relations: 326584 Fri Jan 11 12:22:26 2019 4 relations: 367268 Fri Jan 11 12:22:26 2019 5 relations: 405258 Fri Jan 11 12:22:26 2019 6 relations: 414394 Fri Jan 11 12:22:26 2019 7 relations: 413561 Fri Jan 11 12:22:26 2019 8 relations: 394710 Fri Jan 11 12:22:26 2019 9 relations: 366289 Fri Jan 11 12:22:26 2019 10+ relations: 1867893 Fri Jan 11 12:22:26 2019 heaviest cycle: 28 relations Fri Jan 11 12:22:38 2019 RelProcTime: 3705 Fri Jan 11 12:22:38 2019 Fri Jan 11 12:22:38 2019 commencing linear algebra Fri Jan 11 12:22:40 2019 read 4892910 cycles Fri Jan 11 12:22:52 2019 cycles contain 15433994 unique relations Fri Jan 11 12:26:13 2019 read 15433994 relations Fri Jan 11 12:26:46 2019 using 20 quadratic characters above 4294917295 Fri Jan 11 12:27:54 2019 building initial matrix Fri Jan 11 12:31:49 2019 memory use: 1943.4 MB Fri Jan 11 12:31:56 2019 read 4892910 cycles Fri Jan 11 12:31:56 2019 matrix is 4892733 x 4892910 (2326.9 MB) with weight 666484455 (136.21/col) Fri Jan 11 12:31:56 2019 sparse part has weight 556150874 (113.66/col) Fri Jan 11 12:33:12 2019 filtering completed in 2 passes Fri Jan 11 12:33:13 2019 matrix is 4892605 x 4892782 (2326.8 MB) with weight 666479111 (136.22/col) Fri Jan 11 12:33:13 2019 sparse part has weight 556148478 (113.67/col) Fri Jan 11 12:33:37 2019 matrix starts at (0, 0) Fri Jan 11 12:33:37 2019 matrix is 4892605 x 4892782 (2326.8 MB) with weight 666479111 (136.22/col) Fri Jan 11 12:33:37 2019 sparse part has weight 556148478 (113.67/col) Fri Jan 11 12:33:37 2019 saving the first 48 matrix rows for later Fri Jan 11 12:33:39 2019 matrix includes 64 packed rows Fri Jan 11 12:33:39 2019 matrix is 4892557 x 4892782 (2226.0 MB) with weight 575730088 (117.67/col) Fri Jan 11 12:33:39 2019 sparse part has weight 534613525 (109.27/col) Fri Jan 11 12:33:39 2019 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB Fri Jan 11 12:34:17 2019 commencing Lanczos iteration (6 threads) Fri Jan 11 12:34:17 2019 memory use: 1858.9 MB Fri Jan 11 12:34:37 2019 linear algebra at 0.0%, ETA 17h 2m Fri Jan 11 12:34:44 2019 checkpointing every 290000 dimensions Fri Jan 11 13:30:24 2019 lanczos halted after 4194 iterations (dim = 265261) Fri Jan 11 13:30:25 2019 BLanczosTime: 4067 Fri Jan 11 13:30:25 2019 Fri Jan 11 13:30:25 2019 commencing square root phase Fri Jan 11 13:30:25 2019 handling dependencies 1 to 64 Fri Jan 11 13:30:25 2019 reading relations for dependency 1 Fri Jan 11 13:30:25 2019 error: read_cycles can't open dependency file Fri Jan 11 23:44:22 2019 Fri Jan 11 23:44:22 2019 Fri Jan 11 23:44:22 2019 Msieve v. 1.53 (SVN 988M) Fri Jan 11 23:44:22 2019 random seeds: 0d72214b 9bfc3ae3 Fri Jan 11 23:44:22 2019 factoring 6127368499302333566542960913699244704135400419071799762455487476444627184333737485894300248614976586511501348870590727550339528695065809797759587028976400496039899578394419927940476905239060426111866122760490869167 (214 digits) Fri Jan 11 23:44:23 2019 searching for 15-digit factors Fri Jan 11 23:44:24 2019 commencing number field sieve (214-digit input) Fri Jan 11 23:44:24 2019 R0: 15149342268498533690369019236867927041 Fri Jan 11 23:44:24 2019 R1: -1 Fri Jan 11 23:44:24 2019 A0: -44417 Fri Jan 11 23:44:24 2019 A1: 0 Fri Jan 11 23:44:24 2019 A2: 0 Fri Jan 11 23:44:24 2019 A3: 0 Fri Jan 11 23:44:24 2019 A4: 0 Fri Jan 11 23:44:24 2019 A5: 0 Fri Jan 11 23:44:24 2019 A6: 1 Fri Jan 11 23:44:24 2019 skew 5.95, size 2.411e-11, alpha 0.680, combined = 1.225e-12 rroots = 2 Fri Jan 11 23:44:24 2019 Fri Jan 11 23:44:24 2019 commencing linear algebra Fri Jan 11 23:44:26 2019 matrix starts at (0, 0) Fri Jan 11 23:44:27 2019 matrix is 4892605 x 4892782 (2326.8 MB) with weight 666479111 (136.22/col) Fri Jan 11 23:44:27 2019 sparse part has weight 556148478 (113.67/col) Fri Jan 11 23:44:27 2019 saving the first 48 matrix rows for later Fri Jan 11 23:44:27 2019 matrix includes 64 packed rows Fri Jan 11 23:44:28 2019 matrix is 4892557 x 4892782 (2226.0 MB) with weight 575730088 (117.67/col) Fri Jan 11 23:44:28 2019 sparse part has weight 534613525 (109.27/col) Fri Jan 11 23:44:28 2019 using block size 8192 and superblock size 1081344 for processor cache size 11264 kB Fri Jan 11 23:44:51 2019 commencing Lanczos iteration (8 threads) Fri Jan 11 23:44:51 2019 memory use: 1859.0 MB Fri Jan 11 23:44:51 2019 restarting at iteration 4194 (dim = 265261) Fri Jan 11 23:44:55 2019 checkpointing every 690000 dimensions Fri Jan 11 23:44:59 2019 linear algebra at 5.5%, ETA 6h46m Sat Jan 12 06:10:23 2019 lanczos halted after 77370 iterations (dim = 4892555) Sat Jan 12 06:10:26 2019 recovered 33 nontrivial dependencies Sat Jan 12 06:10:27 2019 BLanczosTime: 23163 Sat Jan 12 06:10:27 2019 Sat Jan 12 06:10:27 2019 commencing square root phase Sat Jan 12 06:10:27 2019 reading relations for dependency 1 Sat Jan 12 06:10:28 2019 read 2444285 cycles Sat Jan 12 06:10:33 2019 cycles contain 7712840 unique relations Sat Jan 12 06:12:10 2019 read 7712840 relations Sat Jan 12 06:12:39 2019 multiplying 7712840 relations Sat Jan 12 06:16:04 2019 multiply complete, coefficients have about 198.20 million bits Sat Jan 12 06:16:05 2019 initial square root is modulo 12967609 Sat Jan 12 06:19:32 2019 sqrtTime: 545 Sat Jan 12 06:19:32 2019 p76 factor: 2123159507170507827415656159849822249829601872966960169817619869141632988971 Sat Jan 12 06:19:32 2019 p139 factor: 2885967106384840065264222281315238895738853980909936726174122167742861062714514238107420736728206008278577086933853039641125758353866030477 Sat Jan 12 06:19:32 2019 elapsed time 06:35:10