Sun Sep 20 08:06:43 2020 Sun Sep 20 08:06:43 2020 Sun Sep 20 08:06:43 2020 Msieve v. 1.54 (SVN 1028) Sun Sep 20 08:06:43 2020 random seeds: 92835dbd 221bd574 Sun Sep 20 08:06:43 2020 factoring 6459594758238867125844847264039052931684724508838707484694754180272905420711047576478995415952837439779741853435639507801334614100750051563929718846753577973898536573574094180100967551289388791 (193 digits) Sun Sep 20 08:06:44 2020 no P-1/P+1/ECM available, skipping Sun Sep 20 08:06:44 2020 commencing number field sieve (193-digit input) Sun Sep 20 08:06:44 2020 R0: 1361129467683753853853498429727072845824 Sun Sep 20 08:06:44 2020 R1: -1 Sun Sep 20 08:06:44 2020 A0: -2 Sun Sep 20 08:06:44 2020 A1: 0 Sun Sep 20 08:06:44 2020 A2: 0 Sun Sep 20 08:06:44 2020 A3: 0 Sun Sep 20 08:06:44 2020 A4: 0 Sun Sep 20 08:06:44 2020 A5: 0 Sun Sep 20 08:06:44 2020 A6: 5 Sun Sep 20 08:06:44 2020 skew 0.96, size 9.113e-12, alpha 2.819, combined = 6.013e-13 rroots = 2 Sun Sep 20 08:06:44 2020 Sun Sep 20 08:06:44 2020 commencing relation filtering Sun Sep 20 08:06:44 2020 setting target matrix density to 100.0 Sun Sep 20 08:06:44 2020 estimated available RAM is 48133.0 MB Sun Sep 20 08:06:44 2020 commencing duplicate removal, pass 1 Sun Sep 20 08:19:38 2020 error -15 reading relation 82389269 Sun Sep 20 08:27:57 2020 skipped 54 relations with b > 2^32 Sun Sep 20 08:27:57 2020 found 4093915 hash collisions in 135291012 relations Sun Sep 20 08:28:15 2020 added 1218409 free relations Sun Sep 20 08:28:15 2020 commencing duplicate removal, pass 2 Sun Sep 20 08:28:59 2020 found 0 duplicates and 136509421 unique relations Sun Sep 20 08:28:59 2020 memory use: 389.2 MB Sun Sep 20 08:28:59 2020 reading ideals above 720000 Sun Sep 20 08:28:59 2020 commencing singleton removal, initial pass Sun Sep 20 08:50:12 2020 memory use: 3012.0 MB Sun Sep 20 08:50:12 2020 reading all ideals from disk Sun Sep 20 08:50:22 2020 memory use: 5279.5 MB Sun Sep 20 08:50:45 2020 keeping 131542206 ideals with weight <= 200, target excess is 773494 Sun Sep 20 08:51:09 2020 commencing in-memory singleton removal Sun Sep 20 08:51:27 2020 begin with 136509421 relations and 131542206 unique ideals Sun Sep 20 08:53:40 2020 reduce to 69757421 relations and 56611122 ideals in 13 passes Sun Sep 20 08:53:40 2020 max relations containing the same ideal: 133 Sun Sep 20 08:54:30 2020 removing 9031210 relations and 7031210 ideals in 2000000 cliques Sun Sep 20 08:54:32 2020 commencing in-memory singleton removal Sun Sep 20 08:54:40 2020 begin with 60726211 relations and 56611122 unique ideals Sun Sep 20 08:55:35 2020 reduce to 59828357 relations and 48651001 ideals in 8 passes Sun Sep 20 08:55:35 2020 max relations containing the same ideal: 121 Sun Sep 20 08:56:15 2020 removing 7288592 relations and 5288592 ideals in 2000000 cliques Sun Sep 20 08:56:18 2020 commencing in-memory singleton removal Sun Sep 20 08:56:24 2020 begin with 52539765 relations and 48651001 unique ideals Sun Sep 20 08:57:10 2020 reduce to 51879657 relations and 42680820 ideals in 8 passes Sun Sep 20 08:57:10 2020 max relations containing the same ideal: 107 Sun Sep 20 08:57:46 2020 removing 6787815 relations and 4787815 ideals in 2000000 cliques Sun Sep 20 08:57:48 2020 commencing in-memory singleton removal Sun Sep 20 08:57:53 2020 begin with 45091842 relations and 42680820 unique ideals Sun Sep 20 08:58:26 2020 reduce to 44453296 relations and 37231847 ideals in 7 passes Sun Sep 20 08:58:26 2020 max relations containing the same ideal: 97 Sun Sep 20 08:58:56 2020 removing 6568524 relations and 4568524 ideals in 2000000 cliques Sun Sep 20 08:58:59 2020 commencing in-memory singleton removal Sun Sep 20 08:59:03 2020 begin with 37884772 relations and 37231847 unique ideals Sun Sep 20 08:59:34 2020 reduce to 37205580 relations and 31957139 ideals in 8 passes Sun Sep 20 08:59:34 2020 max relations containing the same ideal: 86 Sun Sep 20 09:00:00 2020 removing 6468251 relations and 4468251 ideals in 2000000 cliques Sun Sep 20 09:00:02 2020 commencing in-memory singleton removal Sun Sep 20 09:00:05 2020 begin with 30737329 relations and 31957139 unique ideals Sun Sep 20 09:00:30 2020 reduce to 29957042 relations and 26672244 ideals in 8 passes Sun Sep 20 09:00:30 2020 max relations containing the same ideal: 75 Sun Sep 20 09:00:50 2020 removing 6451112 relations and 4451112 ideals in 2000000 cliques Sun Sep 20 09:00:52 2020 commencing in-memory singleton removal Sun Sep 20 09:00:54 2020 begin with 23505930 relations and 26672244 unique ideals Sun Sep 20 09:01:14 2020 reduce to 22529660 relations and 21187974 ideals in 9 passes Sun Sep 20 09:01:14 2020 max relations containing the same ideal: 60 Sun Sep 20 09:01:30 2020 removing 2016904 relations and 1572472 ideals in 444432 cliques Sun Sep 20 09:01:31 2020 commencing in-memory singleton removal Sun Sep 20 09:01:33 2020 begin with 20512756 relations and 21187974 unique ideals Sun Sep 20 09:01:48 2020 reduce to 20379458 relations and 19479807 ideals in 8 passes Sun Sep 20 09:01:48 2020 max relations containing the same ideal: 59 Sun Sep 20 09:02:06 2020 relations with 0 large ideals: 28049 Sun Sep 20 09:02:06 2020 relations with 1 large ideals: 15771 Sun Sep 20 09:02:06 2020 relations with 2 large ideals: 203429 Sun Sep 20 09:02:06 2020 relations with 3 large ideals: 1115602 Sun Sep 20 09:02:06 2020 relations with 4 large ideals: 3194070 Sun Sep 20 09:02:06 2020 relations with 5 large ideals: 5278318 Sun Sep 20 09:02:06 2020 relations with 6 large ideals: 5300506 Sun Sep 20 09:02:06 2020 relations with 7+ large ideals: 5243713 Sun Sep 20 09:02:06 2020 commencing 2-way merge Sun Sep 20 09:02:21 2020 reduce to 12612110 relation sets and 11712459 unique ideals Sun Sep 20 09:02:21 2020 commencing full merge Sun Sep 20 09:07:55 2020 memory use: 1554.2 MB Sun Sep 20 09:07:56 2020 found 6068183 cycles, need 5956659 Sun Sep 20 09:07:59 2020 weight of 5956659 cycles is about 595735888 (100.01/cycle) Sun Sep 20 09:07:59 2020 distribution of cycle lengths: Sun Sep 20 09:07:59 2020 1 relations: 415072 Sun Sep 20 09:07:59 2020 2 relations: 451596 Sun Sep 20 09:07:59 2020 3 relations: 485190 Sun Sep 20 09:07:59 2020 4 relations: 487926 Sun Sep 20 09:07:59 2020 5 relations: 495175 Sun Sep 20 09:07:59 2020 6 relations: 487904 Sun Sep 20 09:07:59 2020 7 relations: 467243 Sun Sep 20 09:07:59 2020 8 relations: 437430 Sun Sep 20 09:07:59 2020 9 relations: 398601 Sun Sep 20 09:07:59 2020 10+ relations: 1830522 Sun Sep 20 09:07:59 2020 heaviest cycle: 24 relations Sun Sep 20 09:08:01 2020 commencing cycle optimization Sun Sep 20 09:08:14 2020 start with 44561007 relations Sun Sep 20 09:09:59 2020 pruned 1657208 relations Sun Sep 20 09:09:59 2020 memory use: 1288.6 MB Sun Sep 20 09:09:59 2020 distribution of cycle lengths: Sun Sep 20 09:09:59 2020 1 relations: 415072 Sun Sep 20 09:09:59 2020 2 relations: 461653 Sun Sep 20 09:09:59 2020 3 relations: 503383 Sun Sep 20 09:09:59 2020 4 relations: 506090 Sun Sep 20 09:09:59 2020 5 relations: 517774 Sun Sep 20 09:09:59 2020 6 relations: 508411 Sun Sep 20 09:09:59 2020 7 relations: 488943 Sun Sep 20 09:09:59 2020 8 relations: 453461 Sun Sep 20 09:09:59 2020 9 relations: 411054 Sun Sep 20 09:09:59 2020 10+ relations: 1690818 Sun Sep 20 09:09:59 2020 heaviest cycle: 24 relations Sun Sep 20 09:10:16 2020 RelProcTime: 3812 Sun Sep 20 09:10:16 2020 elapsed time 01:03:33 Sun Sep 20 15:58:24 2020 Sun Sep 20 15:58:24 2020 Sun Sep 20 15:58:24 2020 Msieve v. 1.54 (SVN 1028) Sun Sep 20 15:58:24 2020 random seeds: 504d903d 6ccb1f73 Sun Sep 20 15:58:24 2020 factoring 6459594758238867125844847264039052931684724508838707484694754180272905420711047576478995415952837439779741853435639507801334614100750051563929718846753577973898536573574094180100967551289388791 (193 digits) Sun Sep 20 15:58:26 2020 no P-1/P+1/ECM available, skipping Sun Sep 20 15:58:26 2020 commencing number field sieve (193-digit input) Sun Sep 20 15:58:26 2020 R0: 1361129467683753853853498429727072845824 Sun Sep 20 15:58:26 2020 R1: -1 Sun Sep 20 15:58:26 2020 A0: -2 Sun Sep 20 15:58:26 2020 A1: 0 Sun Sep 20 15:58:26 2020 A2: 0 Sun Sep 20 15:58:26 2020 A3: 0 Sun Sep 20 15:58:26 2020 A4: 0 Sun Sep 20 15:58:26 2020 A5: 0 Sun Sep 20 15:58:26 2020 A6: 5 Sun Sep 20 15:58:26 2020 skew 0.96, size 9.113e-12, alpha 2.819, combined = 6.013e-13 rroots = 2 Sun Sep 20 15:58:26 2020 Sun Sep 20 15:58:26 2020 commencing linear algebra Sun Sep 20 15:58:26 2020 read 5956659 cycles Sun Sep 20 15:58:40 2020 cycles contain 19842601 unique relations Sun Sep 20 16:00:39 2020 read 19842601 relations Sun Sep 20 16:01:07 2020 using 20 quadratic characters above 4294917295 Sun Sep 20 16:02:47 2020 building initial matrix Sun Sep 20 16:06:12 2020 memory use: 2527.8 MB Sun Sep 20 16:06:14 2020 read 5956659 cycles Sun Sep 20 16:06:15 2020 matrix is 5956480 x 5956659 (2376.0 MB) with weight 682874507 (114.64/col) Sun Sep 20 16:06:15 2020 sparse part has weight 563288699 (94.56/col) Sun Sep 20 16:07:40 2020 filtering completed in 2 passes Sun Sep 20 16:07:41 2020 matrix is 5955508 x 5955686 (2375.9 MB) with weight 682837251 (114.65/col) Sun Sep 20 16:07:41 2020 sparse part has weight 563270656 (94.58/col) Sun Sep 20 16:08:04 2020 matrix starts at (0, 0) Sun Sep 20 16:08:04 2020 matrix is 5955508 x 5955686 (2375.9 MB) with weight 682837251 (114.65/col) Sun Sep 20 16:08:04 2020 sparse part has weight 563270656 (94.58/col) Sun Sep 20 16:08:04 2020 saving the first 112 matrix rows for later Sun Sep 20 16:08:05 2020 matrix includes 128 packed rows Sun Sep 20 16:08:07 2020 matrix is 5955396 x 5955686 (2235.0 MB) with weight 540537909 (90.76/col) Sun Sep 20 16:08:07 2020 sparse part has weight 514423854 (86.38/col) Sun Sep 20 16:08:07 2020 using block size 8192 and superblock size 1474560 for processor cache size 30720 kB Sun Sep 20 16:08:23 2020 commencing Lanczos iteration (12 threads) Sun Sep 20 16:08:23 2020 memory use: 2524.9 MB Sun Sep 20 16:08:32 2020 linear algebra at 0.0%, ETA 8h40m Sun Sep 20 16:08:35 2020 checkpointing every 670000 dimensions Mon Sep 21 00:09:09 2020 lanczos halted after 46809 iterations (dim = 5955395) Mon Sep 21 00:09:20 2020 recovered 39 nontrivial dependencies Mon Sep 21 00:09:21 2020 BLanczosTime: 29455 Mon Sep 21 00:09:21 2020 Mon Sep 21 00:09:21 2020 commencing square root phase Mon Sep 21 00:09:21 2020 reading relations for dependency 1 Mon Sep 21 00:09:21 2020 read 2978489 cycles Mon Sep 21 00:09:26 2020 cycles contain 9920712 unique relations Mon Sep 21 00:10:31 2020 read 9920712 relations Mon Sep 21 00:11:13 2020 multiplying 9920712 relations Mon Sep 21 00:17:38 2020 multiply complete, coefficients have about 271.21 million bits Mon Sep 21 00:17:39 2020 initial square root is modulo 73651 Mon Sep 21 00:24:50 2020 GCD is 1, no factor found Mon Sep 21 00:24:50 2020 reading relations for dependency 2 Mon Sep 21 00:24:51 2020 read 2977182 cycles Mon Sep 21 00:24:56 2020 cycles contain 9918728 unique relations Mon Sep 21 00:26:01 2020 read 9918728 relations Mon Sep 21 00:26:42 2020 multiplying 9918728 relations Mon Sep 21 00:33:07 2020 multiply complete, coefficients have about 271.17 million bits Mon Sep 21 00:33:08 2020 initial square root is modulo 73417 Mon Sep 21 00:40:14 2020 GCD is 1, no factor found Mon Sep 21 00:40:14 2020 reading relations for dependency 3 Mon Sep 21 00:40:14 2020 read 2977004 cycles Mon Sep 21 00:40:19 2020 cycles contain 9919682 unique relations Mon Sep 21 00:41:24 2020 read 9919682 relations Mon Sep 21 00:42:07 2020 multiplying 9919682 relations Mon Sep 21 00:48:37 2020 multiply complete, coefficients have about 271.19 million bits Mon Sep 21 00:48:38 2020 initial square root is modulo 73651 Mon Sep 21 00:56:36 2020 GCD is N, no factor found Mon Sep 21 00:56:36 2020 reading relations for dependency 4 Mon Sep 21 00:56:37 2020 read 2977249 cycles Mon Sep 21 00:56:43 2020 cycles contain 9919608 unique relations Mon Sep 21 00:57:53 2020 read 9919608 relations Mon Sep 21 00:58:53 2020 multiplying 9919608 relations Mon Sep 21 01:05:50 2020 multiply complete, coefficients have about 271.19 million bits Mon Sep 21 01:05:52 2020 initial square root is modulo 73651 Mon Sep 21 01:13:47 2020 GCD is N, no factor found Mon Sep 21 01:13:47 2020 reading relations for dependency 5 Mon Sep 21 01:13:48 2020 read 2977656 cycles Mon Sep 21 01:13:54 2020 cycles contain 9921108 unique relations Mon Sep 21 01:15:04 2020 read 9921108 relations Mon Sep 21 01:16:04 2020 multiplying 9921108 relations Mon Sep 21 01:23:01 2020 multiply complete, coefficients have about 271.23 million bits Mon Sep 21 01:23:02 2020 initial square root is modulo 73651 Mon Sep 21 01:30:59 2020 GCD is 1, no factor found Mon Sep 21 01:30:59 2020 reading relations for dependency 6 Mon Sep 21 01:31:00 2020 read 2977661 cycles Mon Sep 21 01:31:06 2020 cycles contain 9920260 unique relations Mon Sep 21 01:32:16 2020 read 9920260 relations Mon Sep 21 01:33:16 2020 multiplying 9920260 relations Mon Sep 21 01:40:15 2020 multiply complete, coefficients have about 271.20 million bits Mon Sep 21 01:40:16 2020 initial square root is modulo 73651 Mon Sep 21 01:48:14 2020 sqrtTime: 5933 Mon Sep 21 01:48:14 2020 p91 factor: 2786439502475124609387033054543157113255332993551540466442074957474066878758986269325512321 Mon Sep 21 01:48:14 2020 p103 factor: 2318225374174092224906045403193747790961851647680912446723516387914025452782142166626536345526687134071 Mon Sep 21 01:48:14 2020 elapsed time 09:49:50