Sat Feb 2 13:40:46 2019 Sat Feb 2 13:40:46 2019 Sat Feb 2 13:40:46 2019 Msieve v. 1.54 (SVN 1028) Sat Feb 2 13:40:46 2019 random seeds: 9a0b3480 33f0ef3c Sat Feb 2 13:40:46 2019 factoring 77840065332659165572881257313004586985085259467550550096642905065832392399608171887121446249713374789571262683971233364937635774330756138394906464291620211102711683764910301631769650070724553271 (194 digits) Sat Feb 2 13:40:47 2019 no P-1/P+1/ECM available, skipping Sat Feb 2 13:40:47 2019 commencing number field sieve (194-digit input) Sat Feb 2 13:40:47 2019 R0: 170141183460469231731687303715884105728 Sat Feb 2 13:40:47 2019 R1: -1 Sat Feb 2 13:40:47 2019 A0: -1 Sat Feb 2 13:40:47 2019 A1: 0 Sat Feb 2 13:40:47 2019 A2: 0 Sat Feb 2 13:40:47 2019 A3: 0 Sat Feb 2 13:40:47 2019 A4: 0 Sat Feb 2 13:40:47 2019 A5: 0 Sat Feb 2 13:40:47 2019 A6: 10 Sat Feb 2 13:40:47 2019 skew 0.68, size 2.550e-11, alpha 1.180, combined = 1.249e-12 rroots = 2 Sat Feb 2 13:40:47 2019 Sat Feb 2 13:40:47 2019 commencing relation filtering Sat Feb 2 13:40:47 2019 setting target matrix density to 116.0 Sat Feb 2 13:40:47 2019 estimated available RAM is 15888.0 MB Sat Feb 2 13:40:47 2019 commencing duplicate removal, pass 1 Sat Feb 2 14:07:09 2019 skipped 22 relations with b > 2^32 Sat Feb 2 14:07:09 2019 found 7577304 hash collisions in 185459509 relations Sat Feb 2 14:07:33 2019 added 1218323 free relations Sat Feb 2 14:07:33 2019 commencing duplicate removal, pass 2 Sat Feb 2 14:08:42 2019 found 0 duplicates and 186677832 unique relations Sat Feb 2 14:08:42 2019 memory use: 522.4 MB Sat Feb 2 14:08:42 2019 reading ideals above 68222976 Sat Feb 2 14:08:42 2019 commencing singleton removal, initial pass Sat Feb 2 14:26:38 2019 memory use: 5512.0 MB Sat Feb 2 14:26:38 2019 reading all ideals from disk Sat Feb 2 14:26:50 2019 memory use: 3295.0 MB Sat Feb 2 14:26:58 2019 commencing in-memory singleton removal Sat Feb 2 14:27:02 2019 begin with 186677832 relations and 183574298 unique ideals Sat Feb 2 14:27:41 2019 reduce to 74652551 relations and 53818719 ideals in 15 passes Sat Feb 2 14:27:41 2019 max relations containing the same ideal: 28 Sat Feb 2 14:27:44 2019 reading ideals above 720000 Sat Feb 2 14:27:44 2019 commencing singleton removal, initial pass Sat Feb 2 14:36:51 2019 memory use: 1506.0 MB Sat Feb 2 14:36:51 2019 reading all ideals from disk Sat Feb 2 14:36:58 2019 memory use: 2782.9 MB Sat Feb 2 14:37:07 2019 keeping 61469721 ideals with weight <= 200, target excess is 386670 Sat Feb 2 14:37:18 2019 commencing in-memory singleton removal Sat Feb 2 14:37:24 2019 begin with 74652554 relations and 61469721 unique ideals Sat Feb 2 14:38:21 2019 reduce to 74650790 relations and 61467955 ideals in 7 passes Sat Feb 2 14:38:21 2019 max relations containing the same ideal: 200 Sat Feb 2 14:38:56 2019 removing 9959630 relations and 7959630 ideals in 2000000 cliques Sat Feb 2 14:38:59 2019 commencing in-memory singleton removal Sat Feb 2 14:39:04 2019 begin with 64691160 relations and 61467955 unique ideals Sat Feb 2 14:39:51 2019 reduce to 63704113 relations and 52488917 ideals in 8 passes Sat Feb 2 14:39:51 2019 max relations containing the same ideal: 188 Sat Feb 2 14:40:16 2019 removing 7902573 relations and 5902573 ideals in 2000000 cliques Sat Feb 2 14:40:18 2019 commencing in-memory singleton removal Sat Feb 2 14:40:20 2019 begin with 55801540 relations and 52488917 unique ideals Sat Feb 2 14:40:44 2019 reduce to 55078792 relations and 45841092 ideals in 8 passes Sat Feb 2 14:40:44 2019 max relations containing the same ideal: 175 Sat Feb 2 14:41:02 2019 removing 7291273 relations and 5291273 ideals in 2000000 cliques Sat Feb 2 14:41:04 2019 commencing in-memory singleton removal Sat Feb 2 14:41:07 2019 begin with 47787519 relations and 45841092 unique ideals Sat Feb 2 14:41:30 2019 reduce to 47093692 relations and 39832940 ideals in 8 passes Sat Feb 2 14:41:30 2019 max relations containing the same ideal: 155 Sat Feb 2 14:41:51 2019 removing 7002952 relations and 5002952 ideals in 2000000 cliques Sat Feb 2 14:41:53 2019 commencing in-memory singleton removal Sat Feb 2 14:41:56 2019 begin with 40090740 relations and 39832940 unique ideals Sat Feb 2 14:42:16 2019 reduce to 39365011 relations and 34076513 ideals in 7 passes Sat Feb 2 14:42:16 2019 max relations containing the same ideal: 141 Sat Feb 2 14:42:29 2019 removing 6841159 relations and 4841159 ideals in 2000000 cliques Sat Feb 2 14:42:31 2019 commencing in-memory singleton removal Sat Feb 2 14:42:33 2019 begin with 32523852 relations and 34076513 unique ideals Sat Feb 2 14:42:48 2019 reduce to 31714638 relations and 28389549 ideals in 9 passes Sat Feb 2 14:42:48 2019 max relations containing the same ideal: 121 Sat Feb 2 14:43:00 2019 removing 6749343 relations and 4749343 ideals in 2000000 cliques Sat Feb 2 14:43:01 2019 commencing in-memory singleton removal Sat Feb 2 14:43:02 2019 begin with 24965295 relations and 28389549 unique ideals Sat Feb 2 14:43:15 2019 reduce to 23998597 relations and 22619240 ideals in 10 passes Sat Feb 2 14:43:15 2019 max relations containing the same ideal: 99 Sat Feb 2 14:43:23 2019 removing 3699900 relations and 2769081 ideals in 930819 cliques Sat Feb 2 14:43:25 2019 commencing in-memory singleton removal Sat Feb 2 14:43:26 2019 begin with 20298697 relations and 22619240 unique ideals Sat Feb 2 14:43:35 2019 reduce to 19913235 relations and 19451334 ideals in 9 passes Sat Feb 2 14:43:35 2019 max relations containing the same ideal: 88 Sat Feb 2 14:43:44 2019 removing 104337 relations and 90974 ideals in 13363 cliques Sat Feb 2 14:43:44 2019 commencing in-memory singleton removal Sat Feb 2 14:43:46 2019 begin with 19808898 relations and 19451334 unique ideals Sat Feb 2 14:43:52 2019 reduce to 19808602 relations and 19360064 ideals in 4 passes Sat Feb 2 14:43:52 2019 max relations containing the same ideal: 88 Sat Feb 2 14:43:57 2019 relations with 0 large ideals: 14703 Sat Feb 2 14:43:57 2019 relations with 1 large ideals: 4678 Sat Feb 2 14:43:57 2019 relations with 2 large ideals: 64118 Sat Feb 2 14:43:57 2019 relations with 3 large ideals: 460036 Sat Feb 2 14:43:57 2019 relations with 4 large ideals: 1755193 Sat Feb 2 14:43:57 2019 relations with 5 large ideals: 3916094 Sat Feb 2 14:43:57 2019 relations with 6 large ideals: 5359588 Sat Feb 2 14:43:57 2019 relations with 7+ large ideals: 8234192 Sat Feb 2 14:43:57 2019 commencing 2-way merge Sat Feb 2 14:44:08 2019 reduce to 12071306 relation sets and 11622768 unique ideals Sat Feb 2 14:44:08 2019 commencing full merge Sat Feb 2 14:48:15 2019 memory use: 1634.5 MB Sat Feb 2 14:48:16 2019 found 5522518 cycles, need 5512968 Sat Feb 2 14:48:18 2019 weight of 5512968 cycles is about 640028683 (116.10/cycle) Sat Feb 2 14:48:18 2019 distribution of cycle lengths: Sat Feb 2 14:48:18 2019 1 relations: 265024 Sat Feb 2 14:48:18 2019 2 relations: 334527 Sat Feb 2 14:48:18 2019 3 relations: 377209 Sat Feb 2 14:48:18 2019 4 relations: 385691 Sat Feb 2 14:48:18 2019 5 relations: 393944 Sat Feb 2 14:48:18 2019 6 relations: 393954 Sat Feb 2 14:48:18 2019 7 relations: 386851 Sat Feb 2 14:48:18 2019 8 relations: 370480 Sat Feb 2 14:48:18 2019 9 relations: 349897 Sat Feb 2 14:48:18 2019 10+ relations: 2255391 Sat Feb 2 14:48:18 2019 heaviest cycle: 28 relations Sat Feb 2 14:48:18 2019 commencing cycle optimization Sat Feb 2 14:48:27 2019 start with 49703971 relations Sat Feb 2 14:49:55 2019 pruned 2125769 relations Sat Feb 2 14:49:55 2019 memory use: 1329.5 MB Sat Feb 2 14:49:55 2019 distribution of cycle lengths: Sat Feb 2 14:49:55 2019 1 relations: 265024 Sat Feb 2 14:49:55 2019 2 relations: 341687 Sat Feb 2 14:49:55 2019 3 relations: 390627 Sat Feb 2 14:49:55 2019 4 relations: 399692 Sat Feb 2 14:49:55 2019 5 relations: 411510 Sat Feb 2 14:49:55 2019 6 relations: 411375 Sat Feb 2 14:49:55 2019 7 relations: 405593 Sat Feb 2 14:49:55 2019 8 relations: 387682 Sat Feb 2 14:49:55 2019 9 relations: 365947 Sat Feb 2 14:49:55 2019 10+ relations: 2133831 Sat Feb 2 14:49:55 2019 heaviest cycle: 28 relations Sat Feb 2 14:50:04 2019 RelProcTime: 4157 Sat Feb 2 14:50:04 2019 elapsed time 01:09:18 Sat Feb 2 22:17:48 2019 Sat Feb 2 22:17:48 2019 Sat Feb 2 22:17:48 2019 Msieve v. 1.54 (SVN 1028) Sat Feb 2 22:17:48 2019 random seeds: 5bca4f36 b831895c Sat Feb 2 22:17:48 2019 factoring 77840065332659165572881257313004586985085259467550550096642905065832392399608171887121446249713374789571262683971233364937635774330756138394906464291620211102711683764910301631769650070724553271 (194 digits) Sat Feb 2 22:17:50 2019 no P-1/P+1/ECM available, skipping Sat Feb 2 22:17:50 2019 commencing number field sieve (194-digit input) Sat Feb 2 22:17:50 2019 R0: 170141183460469231731687303715884105728 Sat Feb 2 22:17:50 2019 R1: -1 Sat Feb 2 22:17:50 2019 A0: -1 Sat Feb 2 22:17:50 2019 A1: 0 Sat Feb 2 22:17:50 2019 A2: 0 Sat Feb 2 22:17:50 2019 A3: 0 Sat Feb 2 22:17:50 2019 A4: 0 Sat Feb 2 22:17:50 2019 A5: 0 Sat Feb 2 22:17:50 2019 A6: 10 Sat Feb 2 22:17:50 2019 skew 0.68, size 2.550e-11, alpha 1.180, combined = 1.249e-12 rroots = 2 Sat Feb 2 22:17:50 2019 Sat Feb 2 22:17:50 2019 commencing linear algebra Sat Feb 2 22:17:50 2019 read 5512968 cycles Sat Feb 2 22:18:02 2019 cycles contain 19535346 unique relations Sat Feb 2 22:20:09 2019 read 19535346 relations Sat Feb 2 22:20:34 2019 using 20 quadratic characters above 4294917295 Sat Feb 2 22:21:53 2019 building initial matrix Sat Feb 2 22:24:57 2019 memory use: 2436.9 MB Sat Feb 2 22:24:59 2019 read 5512968 cycles Sat Feb 2 22:25:00 2019 matrix is 5512791 x 5512968 (2516.5 MB) with weight 724819134 (131.48/col) Sat Feb 2 22:25:00 2019 sparse part has weight 599050358 (108.66/col) Sat Feb 2 22:25:51 2019 filtering completed in 2 passes Sat Feb 2 22:25:52 2019 matrix is 5512723 x 5512900 (2516.5 MB) with weight 724817004 (131.48/col) Sat Feb 2 22:25:52 2019 sparse part has weight 599049836 (108.66/col) Sat Feb 2 22:26:09 2019 matrix starts at (0, 0) Sat Feb 2 22:26:10 2019 matrix is 5512723 x 5512900 (2516.5 MB) with weight 724817004 (131.48/col) Sat Feb 2 22:26:10 2019 sparse part has weight 599049836 (108.66/col) Sat Feb 2 22:26:10 2019 saving the first 112 matrix rows for later Sat Feb 2 22:26:11 2019 matrix includes 128 packed rows Sat Feb 2 22:26:12 2019 matrix is 5512611 x 5512900 (2347.7 MB) with weight 579620954 (105.14/col) Sat Feb 2 22:26:12 2019 sparse part has weight 549278129 (99.64/col) Sat Feb 2 22:26:12 2019 using block size 8192 and superblock size 737280 for processor cache size 15360 kB Sat Feb 2 22:26:25 2019 commencing Lanczos iteration (6 threads) Sat Feb 2 22:26:25 2019 memory use: 2580.3 MB Sat Feb 2 22:26:55 2019 linear algebra at 0.0%, ETA 27h 3m Sat Feb 2 22:27:02 2019 checkpointing every 220000 dimensions Sun Feb 3 14:35:51 2019 lanczos halted after 43327 iterations (dim = 5512607) Sun Feb 3 14:35:58 2019 recovered 34 nontrivial dependencies Sun Feb 3 14:35:58 2019 BLanczosTime: 58688 Sun Feb 3 14:35:58 2019 elapsed time 16:18:10 Mon Feb 4 09:34:52 2019 Mon Feb 4 09:34:52 2019 Mon Feb 4 09:34:52 2019 Msieve v. 1.54 (SVN 1028) Mon Feb 4 09:34:52 2019 random seeds: e90421da 47c8136d Mon Feb 4 09:34:52 2019 factoring 77840065332659165572881257313004586985085259467550550096642905065832392399608171887121446249713374789571262683971233364937635774330756138394906464291620211102711683764910301631769650070724553271 (194 digits) Mon Feb 4 09:34:53 2019 no P-1/P+1/ECM available, skipping Mon Feb 4 09:34:53 2019 commencing number field sieve (194-digit input) Mon Feb 4 09:34:53 2019 R0: 170141183460469231731687303715884105728 Mon Feb 4 09:34:53 2019 R1: -1 Mon Feb 4 09:34:53 2019 A0: -1 Mon Feb 4 09:34:53 2019 A1: 0 Mon Feb 4 09:34:53 2019 A2: 0 Mon Feb 4 09:34:53 2019 A3: 0 Mon Feb 4 09:34:53 2019 A4: 0 Mon Feb 4 09:34:53 2019 A5: 0 Mon Feb 4 09:34:53 2019 A6: 10 Mon Feb 4 09:34:53 2019 skew 0.68, size 2.550e-11, alpha 1.180, combined = 1.249e-12 rroots = 2 Mon Feb 4 09:34:53 2019 Mon Feb 4 09:34:53 2019 commencing square root phase Mon Feb 4 09:34:53 2019 reading relations for dependency 1 Mon Feb 4 09:34:54 2019 read 2757326 cycles Mon Feb 4 09:34:58 2019 cycles contain 9769416 unique relations Mon Feb 4 09:35:59 2019 read 9769416 relations Mon Feb 4 09:36:33 2019 multiplying 9769416 relations Mon Feb 4 09:41:31 2019 multiply complete, coefficients have about 265.98 million bits Mon Feb 4 09:41:32 2019 initial square root is modulo 59263 Mon Feb 4 09:47:04 2019 GCD is 1, no factor found Mon Feb 4 09:47:04 2019 reading relations for dependency 2 Mon Feb 4 09:47:05 2019 read 2758284 cycles Mon Feb 4 09:47:09 2019 cycles contain 9771806 unique relations Mon Feb 4 09:48:09 2019 read 9771806 relations Mon Feb 4 09:48:38 2019 multiplying 9771806 relations Mon Feb 4 09:53:36 2019 multiply complete, coefficients have about 266.04 million bits Mon Feb 4 09:53:37 2019 initial square root is modulo 59407 Mon Feb 4 10:00:00 2019 GCD is N, no factor found Mon Feb 4 10:00:00 2019 reading relations for dependency 3 Mon Feb 4 10:00:00 2019 read 2757008 cycles Mon Feb 4 10:00:04 2019 cycles contain 9767574 unique relations Mon Feb 4 10:01:13 2019 read 9767574 relations Mon Feb 4 10:01:42 2019 multiplying 9767574 relations Mon Feb 4 10:07:08 2019 multiply complete, coefficients have about 265.94 million bits Mon Feb 4 10:07:09 2019 initial square root is modulo 59149 Mon Feb 4 10:17:23 2019 GCD is 1, no factor found Mon Feb 4 10:17:23 2019 reading relations for dependency 4 Mon Feb 4 10:17:24 2019 read 2757080 cycles Mon Feb 4 10:17:31 2019 cycles contain 9767570 unique relations Mon Feb 4 10:18:33 2019 read 9767570 relations Mon Feb 4 10:19:01 2019 multiplying 9767570 relations Mon Feb 4 10:23:57 2019 multiply complete, coefficients have about 265.93 million bits Mon Feb 4 10:23:58 2019 initial square root is modulo 59149 Mon Feb 4 10:29:26 2019 GCD is N, no factor found Mon Feb 4 10:29:26 2019 reading relations for dependency 5 Mon Feb 4 10:29:27 2019 read 2755885 cycles Mon Feb 4 10:29:32 2019 cycles contain 9764838 unique relations Mon Feb 4 10:30:32 2019 read 9764838 relations Mon Feb 4 10:31:01 2019 multiplying 9764838 relations Mon Feb 4 10:35:56 2019 multiply complete, coefficients have about 265.86 million bits Mon Feb 4 10:35:57 2019 initial square root is modulo 59011 Mon Feb 4 10:41:24 2019 GCD is N, no factor found Mon Feb 4 10:41:24 2019 reading relations for dependency 6 Mon Feb 4 10:41:25 2019 read 2755651 cycles Mon Feb 4 10:41:30 2019 cycles contain 9767982 unique relations Mon Feb 4 10:42:30 2019 read 9767982 relations Mon Feb 4 10:43:00 2019 multiplying 9767982 relations Mon Feb 4 10:47:56 2019 multiply complete, coefficients have about 265.95 million bits Mon Feb 4 10:47:57 2019 initial square root is modulo 59233 Mon Feb 4 10:53:25 2019 sqrtTime: 4712 Mon Feb 4 10:53:25 2019 p93 factor: 211429536255685107845635186603312523701125575979739274158437577030985388685997037542343774827 Mon Feb 4 10:53:25 2019 p102 factor: 368160791113526986089988588131261789210154887049076681392811447508725779150222587444449436894276956773 Mon Feb 4 10:53:25 2019 elapsed time 01:18:33