Sun Aug 16 21:14:07 2020 Sun Aug 16 21:14:07 2020 Sun Aug 16 21:14:07 2020 Msieve v. 1.53 (SVN unknown) Sun Aug 16 21:14:07 2020 random seeds: f93e8a80 e76428a8 Sun Aug 16 21:14:07 2020 factoring 10098994900311538904790249266525955368722008375289538535133071855113617483984499788290705977531292011877433356959921610739545183630664913150221738161202063896844223276590699573343702816291079322843018380587692186579 (215 digits) Sun Aug 16 21:14:09 2020 searching for 15-digit factors Sun Aug 16 21:14:09 2020 commencing number field sieve (215-digit input) Sun Aug 16 21:14:09 2020 R0: 47021987435626124292561643429547571001 Sun Aug 16 21:14:09 2020 R1: -1 Sun Aug 16 21:14:09 2020 A0: -5851 Sun Aug 16 21:14:09 2020 A1: 0 Sun Aug 16 21:14:09 2020 A2: 0 Sun Aug 16 21:14:09 2020 A3: 0 Sun Aug 16 21:14:09 2020 A4: 0 Sun Aug 16 21:14:09 2020 A5: 0 Sun Aug 16 21:14:09 2020 A6: 1 Sun Aug 16 21:14:09 2020 skew 4.25, size 3.040e-11, alpha -0.419, combined = 1.433e-12 rroots = 2 Sun Aug 16 21:14:09 2020 Sun Aug 16 21:14:09 2020 commencing relation filtering Sun Aug 16 21:14:09 2020 setting target matrix density to 105.0 Sun Aug 16 21:14:09 2020 estimated available RAM is 16335.3 MB Sun Aug 16 21:14:09 2020 commencing duplicate removal, pass 1 Sun Aug 16 21:15:03 2020 error -1 reading relation 3888342 Sun Aug 16 21:15:04 2020 error -1 reading relation 3931583 Sun Aug 16 21:15:04 2020 error -9 reading relation 3975313 Sun Aug 16 21:15:09 2020 error -1 reading relation 4310239 Sun Aug 16 21:15:10 2020 error -9 reading relation 4398002 Sun Aug 16 21:15:43 2020 error -9 reading relation 6816615 Sun Aug 16 21:16:13 2020 error -1 reading relation 9044378 Sun Aug 16 21:16:53 2020 error -15 reading relation 11924083 Sun Aug 16 21:19:27 2020 error -9 reading relation 23275541 Sun Aug 16 21:21:08 2020 error -1 reading relation 30709391 Sun Aug 16 21:21:12 2020 error -9 reading relation 30962453 Sun Aug 16 21:21:39 2020 error -9 reading relation 33020368 Sun Aug 16 21:22:04 2020 error -9 reading relation 34810952 Sun Aug 16 21:22:32 2020 error -9 reading relation 36941866 Sun Aug 16 21:23:00 2020 error -15 reading relation 38936225 Sun Aug 16 21:23:25 2020 error -5 reading relation 40814585 Sun Aug 16 21:23:30 2020 error -1 reading relation 41178088 Sun Aug 16 21:23:36 2020 error -15 reading relation 41609347 Sun Aug 16 21:24:36 2020 error -15 reading relation 46021893 Sun Aug 16 21:26:22 2020 error -9 reading relation 53822264 Sun Aug 16 21:27:12 2020 error -5 reading relation 57424759 Sun Aug 16 21:27:38 2020 error -15 reading relation 59385009 Sun Aug 16 21:28:01 2020 error -9 reading relation 61066510 Sun Aug 16 21:28:24 2020 error -9 reading relation 62756831 Sun Aug 16 21:29:22 2020 error -15 reading relation 67055368 Sun Aug 16 21:30:21 2020 error -5 reading relation 71371920 Sun Aug 16 21:30:21 2020 error -1 reading relation 71372623 Sun Aug 16 21:30:21 2020 error -1 reading relation 71377997 Sun Aug 16 21:30:42 2020 error -15 reading relation 72951105 Sun Aug 16 21:31:40 2020 error -15 reading relation 77191398 Sun Aug 16 21:31:55 2020 error -9 reading relation 78325107 Sun Aug 16 21:31:57 2020 error -9 reading relation 78413408 Sun Aug 16 21:32:19 2020 error -15 reading relation 80000307 Sun Aug 16 21:32:21 2020 error -1 reading relation 80154258 Sun Aug 16 21:32:32 2020 error -15 reading relation 81049324 Sun Aug 16 21:32:36 2020 error -9 reading relation 81285017 Sun Aug 16 21:32:36 2020 error -15 reading relation 81352666 Sun Aug 16 21:32:37 2020 error -9 reading relation 81411392 Sun Aug 16 21:33:15 2020 error -1 reading relation 84151450 Sun Aug 16 21:33:20 2020 error -9 reading relation 84573478 Sun Aug 16 21:34:26 2020 error -9 reading relation 89428805 Sun Aug 16 21:34:33 2020 error -15 reading relation 89940604 Sun Aug 16 21:34:42 2020 error -15 reading relation 90603319 Sun Aug 16 21:34:44 2020 error -9 reading relation 90769269 Sun Aug 16 21:34:56 2020 error -1 reading relation 91661252 Sun Aug 16 21:34:58 2020 error -1 reading relation 91754951 Sun Aug 16 21:35:05 2020 error -9 reading relation 92287663 Sun Aug 16 21:35:14 2020 error -5 reading relation 92965934 Sun Aug 16 21:35:18 2020 error -15 reading relation 93209817 Sun Aug 16 21:35:35 2020 error -1 reading relation 94508878 Sun Aug 16 21:35:35 2020 error -9 reading relation 94515809 Sun Aug 16 21:35:36 2020 error -9 reading relation 94524464 Sun Aug 16 21:35:42 2020 error -9 reading relation 94972871 Sun Aug 16 21:35:47 2020 error -15 reading relation 95331430 Sun Aug 16 21:35:50 2020 error -5 reading relation 95562566 Sun Aug 16 21:36:02 2020 error -1 reading relation 96436459 Sun Aug 16 21:36:11 2020 error -9 reading relation 97114417 Sun Aug 16 21:36:15 2020 error -15 reading relation 97440154 Sun Aug 16 21:36:18 2020 error -15 reading relation 97610890 Sun Aug 16 21:36:23 2020 error -15 reading relation 98026945 Sun Aug 16 21:36:34 2020 error -15 reading relation 98808894 Sun Aug 16 21:36:37 2020 error -9 reading relation 99007611 Sun Aug 16 21:36:39 2020 error -15 reading relation 99135369 Sun Aug 16 21:36:39 2020 error -15 reading relation 99143739 Sun Aug 16 21:36:50 2020 error -15 reading relation 99990657 Sun Aug 16 21:37:24 2020 error -9 reading relation 102471797 Sun Aug 16 21:37:37 2020 error -9 reading relation 103416276 Sun Aug 16 21:37:44 2020 error -5 reading relation 103937762 Sun Aug 16 21:38:08 2020 error -5 reading relation 105700347 Sun Aug 16 21:38:16 2020 error -5 reading relation 106284019 Sun Aug 16 21:38:18 2020 error -5 reading relation 106445692 Sun Aug 16 21:38:19 2020 error -9 reading relation 106524178 Sun Aug 16 21:38:25 2020 error -15 reading relation 106916122 Sun Aug 16 21:38:43 2020 error -15 reading relation 108261483 Sun Aug 16 21:39:10 2020 error -9 reading relation 110199107 Sun Aug 16 21:39:11 2020 error -15 reading relation 110261084 Sun Aug 16 21:39:30 2020 error -15 reading relation 111691063 Sun Aug 16 21:39:49 2020 error -15 reading relation 113117015 Sun Aug 16 21:39:49 2020 error -9 reading relation 113118614 Sun Aug 16 21:39:50 2020 error -9 reading relation 113140057 Sun Aug 16 21:39:50 2020 error -15 reading relation 113142990 Sun Aug 16 21:39:55 2020 error -5 reading relation 113569223 Sun Aug 16 21:39:56 2020 error -9 reading relation 113575601 Sun Aug 16 21:40:00 2020 error -9 reading relation 113893550 Sun Aug 16 21:40:05 2020 error -15 reading relation 114229265 Sun Aug 16 21:40:05 2020 error -1 reading relation 114246793 Sun Aug 16 21:40:05 2020 error -9 reading relation 114252175 Sun Aug 16 21:40:12 2020 error -15 reading relation 114749548 Sun Aug 16 21:40:29 2020 error -9 reading relation 115983951 Sun Aug 16 21:40:30 2020 error -1 reading relation 116086940 Sun Aug 16 21:40:42 2020 error -15 reading relation 116942157 Sun Aug 16 21:40:42 2020 error -9 reading relation 116970154 Sun Aug 16 21:40:45 2020 error -1 reading relation 117161880 Sun Aug 16 21:40:45 2020 error -15 reading relation 117162403 Sun Aug 16 21:40:46 2020 error -15 reading relation 117257790 Sun Aug 16 21:40:54 2020 error -5 reading relation 117827789 Sun Aug 16 21:40:54 2020 error -15 reading relation 117833624 Sun Aug 16 21:40:54 2020 error -5 reading relation 117840565 Sun Aug 16 21:41:05 2020 error -9 reading relation 118639583 Sun Aug 16 21:41:18 2020 error -15 reading relation 119566997 Sun Aug 16 21:41:21 2020 error -9 reading relation 119802893 Sun Aug 16 21:41:22 2020 error -15 reading relation 119919625 Sun Aug 16 21:41:22 2020 skipped 1 relations with b > 2^32 Sun Aug 16 21:41:22 2020 skipped 53 relations with composite factors Sun Aug 16 21:41:22 2020 found 19952148 hash collisions in 119927801 relations Sun Aug 16 21:41:50 2020 added 1217734 free relations Sun Aug 16 21:41:50 2020 commencing duplicate removal, pass 2 Sun Aug 16 21:44:08 2020 found 17889695 duplicates and 103255840 unique relations Sun Aug 16 21:44:08 2020 memory use: 660.8 MB Sun Aug 16 21:44:08 2020 reading ideals above 77922304 Sun Aug 16 21:44:08 2020 commencing singleton removal, initial pass Sun Aug 16 22:02:26 2020 memory use: 2756.0 MB Sun Aug 16 22:02:26 2020 reading all ideals from disk Sun Aug 16 22:02:27 2020 memory use: 1734.0 MB Sun Aug 16 22:02:31 2020 commencing in-memory singleton removal Sun Aug 16 22:02:34 2020 begin with 103255840 relations and 82303267 unique ideals Sun Aug 16 22:03:09 2020 reduce to 69552107 relations and 45336770 ideals in 13 passes Sun Aug 16 22:03:09 2020 max relations containing the same ideal: 47 Sun Aug 16 22:03:15 2020 reading ideals above 720000 Sun Aug 16 22:03:15 2020 commencing singleton removal, initial pass Sun Aug 16 22:17:58 2020 memory use: 1506.0 MB Sun Aug 16 22:17:59 2020 reading all ideals from disk Sun Aug 16 22:18:16 2020 memory use: 2589.9 MB Sun Aug 16 22:18:23 2020 keeping 54088877 ideals with weight <= 200, target excess is 357027 Sun Aug 16 22:18:30 2020 commencing in-memory singleton removal Sun Aug 16 22:18:35 2020 begin with 69552107 relations and 54088877 unique ideals Sun Aug 16 22:19:08 2020 reduce to 69549380 relations and 54086150 ideals in 6 passes Sun Aug 16 22:19:08 2020 max relations containing the same ideal: 200 Sun Aug 16 22:19:38 2020 removing 8433770 relations and 6433770 ideals in 2000000 cliques Sun Aug 16 22:19:40 2020 commencing in-memory singleton removal Sun Aug 16 22:19:45 2020 begin with 61115610 relations and 54086150 unique ideals Sun Aug 16 22:20:29 2020 reduce to 60291627 relations and 46799355 ideals in 9 passes Sun Aug 16 22:20:29 2020 max relations containing the same ideal: 192 Sun Aug 16 22:20:54 2020 removing 6739624 relations and 4739624 ideals in 2000000 cliques Sun Aug 16 22:20:56 2020 commencing in-memory singleton removal Sun Aug 16 22:21:00 2020 begin with 53552003 relations and 46799355 unique ideals Sun Aug 16 22:21:33 2020 reduce to 52972439 relations and 41461471 ideals in 8 passes Sun Aug 16 22:21:33 2020 max relations containing the same ideal: 181 Sun Aug 16 22:21:56 2020 removing 6257109 relations and 4257109 ideals in 2000000 cliques Sun Aug 16 22:21:58 2020 commencing in-memory singleton removal Sun Aug 16 22:22:01 2020 begin with 46715330 relations and 41461471 unique ideals Sun Aug 16 22:22:26 2020 reduce to 46187432 relations and 36658096 ideals in 7 passes Sun Aug 16 22:22:26 2020 max relations containing the same ideal: 164 Sun Aug 16 22:22:46 2020 removing 6016766 relations and 4016766 ideals in 2000000 cliques Sun Aug 16 22:22:48 2020 commencing in-memory singleton removal Sun Aug 16 22:22:51 2020 begin with 40170666 relations and 36658096 unique ideals Sun Aug 16 22:23:12 2020 reduce to 39646839 relations and 32097289 ideals in 7 passes Sun Aug 16 22:23:12 2020 max relations containing the same ideal: 148 Sun Aug 16 22:23:30 2020 removing 5868839 relations and 3868839 ideals in 2000000 cliques Sun Aug 16 22:23:31 2020 commencing in-memory singleton removal Sun Aug 16 22:23:34 2020 begin with 33778000 relations and 32097289 unique ideals Sun Aug 16 22:23:52 2020 reduce to 33228040 relations and 27654343 ideals in 7 passes Sun Aug 16 22:23:52 2020 max relations containing the same ideal: 133 Sun Aug 16 22:24:06 2020 removing 5763177 relations and 3763177 ideals in 2000000 cliques Sun Aug 16 22:24:08 2020 commencing in-memory singleton removal Sun Aug 16 22:24:10 2020 begin with 27464863 relations and 27654343 unique ideals Sun Aug 16 22:24:24 2020 reduce to 26864808 relations and 23260037 ideals in 7 passes Sun Aug 16 22:24:24 2020 max relations containing the same ideal: 114 Sun Aug 16 22:24:35 2020 removing 5680388 relations and 3680388 ideals in 2000000 cliques Sun Aug 16 22:24:37 2020 commencing in-memory singleton removal Sun Aug 16 22:24:38 2020 begin with 21184420 relations and 23260037 unique ideals Sun Aug 16 22:24:50 2020 reduce to 20493212 relations and 18844233 ideals in 8 passes Sun Aug 16 22:24:50 2020 max relations containing the same ideal: 95 Sun Aug 16 22:24:59 2020 removing 3764463 relations and 2529636 ideals in 1234827 cliques Sun Aug 16 22:25:00 2020 commencing in-memory singleton removal Sun Aug 16 22:25:02 2020 begin with 16728749 relations and 18844233 unique ideals Sun Aug 16 22:25:11 2020 reduce to 16284594 relations and 15846690 ideals in 8 passes Sun Aug 16 22:25:11 2020 max relations containing the same ideal: 78 Sun Aug 16 22:25:18 2020 removing 140932 relations and 117180 ideals in 23752 cliques Sun Aug 16 22:25:18 2020 commencing in-memory singleton removal Sun Aug 16 22:25:19 2020 begin with 16143662 relations and 15846690 unique ideals Sun Aug 16 22:25:25 2020 reduce to 16142685 relations and 15728531 ideals in 5 passes Sun Aug 16 22:25:25 2020 max relations containing the same ideal: 78 Sun Aug 16 22:25:28 2020 relations with 0 large ideals: 13235 Sun Aug 16 22:25:28 2020 relations with 1 large ideals: 5194 Sun Aug 16 22:25:28 2020 relations with 2 large ideals: 58719 Sun Aug 16 22:25:28 2020 relations with 3 large ideals: 403569 Sun Aug 16 22:25:28 2020 relations with 4 large ideals: 1481096 Sun Aug 16 22:25:28 2020 relations with 5 large ideals: 3217717 Sun Aug 16 22:25:28 2020 relations with 6 large ideals: 4325186 Sun Aug 16 22:25:28 2020 relations with 7+ large ideals: 6637969 Sun Aug 16 22:25:28 2020 commencing 2-way merge Sun Aug 16 22:25:37 2020 reduce to 10899892 relation sets and 10485738 unique ideals Sun Aug 16 22:25:37 2020 commencing full merge Sun Aug 16 22:29:27 2020 memory use: 1412.1 MB Sun Aug 16 22:29:28 2020 found 5143264 cycles, need 5103938 Sun Aug 16 22:29:29 2020 weight of 5103938 cycles is about 536040706 (105.02/cycle) Sun Aug 16 22:29:29 2020 distribution of cycle lengths: Sun Aug 16 22:29:29 2020 1 relations: 198298 Sun Aug 16 22:29:29 2020 2 relations: 326031 Sun Aug 16 22:29:29 2020 3 relations: 402603 Sun Aug 16 22:29:29 2020 4 relations: 429056 Sun Aug 16 22:29:29 2020 5 relations: 443997 Sun Aug 16 22:29:29 2020 6 relations: 437081 Sun Aug 16 22:29:29 2020 7 relations: 421018 Sun Aug 16 22:29:29 2020 8 relations: 391834 Sun Aug 16 22:29:29 2020 9 relations: 353525 Sun Aug 16 22:29:29 2020 10+ relations: 1700495 Sun Aug 16 22:29:29 2020 heaviest cycle: 28 relations Sun Aug 16 22:29:30 2020 commencing cycle optimization Sun Aug 16 22:29:38 2020 start with 41041903 relations Sun Aug 16 22:31:12 2020 pruned 1874984 relations Sun Aug 16 22:31:12 2020 memory use: 1098.5 MB Sun Aug 16 22:31:12 2020 distribution of cycle lengths: Sun Aug 16 22:31:12 2020 1 relations: 198298 Sun Aug 16 22:31:12 2020 2 relations: 334387 Sun Aug 16 22:31:12 2020 3 relations: 420716 Sun Aug 16 22:31:12 2020 4 relations: 448629 Sun Aug 16 22:31:12 2020 5 relations: 467621 Sun Aug 16 22:31:12 2020 6 relations: 459837 Sun Aug 16 22:31:12 2020 7 relations: 443440 Sun Aug 16 22:31:12 2020 8 relations: 409421 Sun Aug 16 22:31:12 2020 9 relations: 366728 Sun Aug 16 22:31:12 2020 10+ relations: 1554861 Sun Aug 16 22:31:12 2020 heaviest cycle: 28 relations Sun Aug 16 22:31:18 2020 RelProcTime: 4629 Sun Aug 16 22:31:18 2020 Sun Aug 16 22:31:18 2020 commencing linear algebra Sun Aug 16 22:31:19 2020 read 5103938 cycles Sun Aug 16 22:31:29 2020 cycles contain 15939762 unique relations Sun Aug 16 22:35:36 2020 read 15939762 relations Sun Aug 16 22:36:06 2020 using 20 quadratic characters above 4294917295 Sun Aug 16 22:37:10 2020 building initial matrix Sun Aug 16 22:40:27 2020 memory use: 2012.0 MB Sun Aug 16 22:40:30 2020 read 5103938 cycles Sun Aug 16 22:40:32 2020 matrix is 5103761 x 5103938 (2127.7 MB) with weight 621706926 (121.81/col) Sun Aug 16 22:40:32 2020 sparse part has weight 501631469 (98.28/col) Sun Aug 16 22:41:31 2020 filtering completed in 2 passes Sun Aug 16 22:41:32 2020 matrix is 5103577 x 5103754 (2127.7 MB) with weight 621699285 (121.81/col) Sun Aug 16 22:41:32 2020 sparse part has weight 501628261 (98.29/col) Sun Aug 16 22:41:46 2020 matrix starts at (0, 0) Sun Aug 16 22:41:47 2020 matrix is 5103577 x 5103754 (2127.7 MB) with weight 621699285 (121.81/col) Sun Aug 16 22:41:47 2020 sparse part has weight 501628261 (98.29/col) Sun Aug 16 22:41:47 2020 saving the first 48 matrix rows for later Sun Aug 16 22:41:49 2020 matrix includes 64 packed rows Sun Aug 16 22:41:50 2020 matrix is 5103529 x 5103754 (2041.4 MB) with weight 522003562 (102.28/col) Sun Aug 16 22:41:50 2020 sparse part has weight 484111575 (94.85/col) Sun Aug 16 22:41:50 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB Sun Aug 16 22:42:19 2020 commencing Lanczos iteration (8 threads) Sun Aug 16 22:42:19 2020 memory use: 1705.4 MB Sun Aug 16 22:42:40 2020 linear algebra at 0.0%, ETA 18h44m Sun Aug 16 22:42:48 2020 checkpointing every 260000 dimensions Mon Aug 17 17:59:32 2020 lanczos halted after 80710 iterations (dim = 5103527) Mon Aug 17 17:59:37 2020 recovered 33 nontrivial dependencies Mon Aug 17 17:59:39 2020 BLanczosTime: 70101 Mon Aug 17 17:59:39 2020 Mon Aug 17 17:59:39 2020 commencing square root phase Mon Aug 17 17:59:39 2020 handling dependencies 1 to 64 Mon Aug 17 17:59:39 2020 reading relations for dependency 1 Mon Aug 17 17:59:40 2020 read 2553084 cycles Mon Aug 17 17:59:45 2020 cycles contain 7973228 unique relations Mon Aug 17 18:02:40 2020 read 7973228 relations Mon Aug 17 18:03:19 2020 multiplying 7973228 relations Mon Aug 17 18:08:02 2020 multiply complete, coefficients have about 202.17 million bits Mon Aug 17 18:08:04 2020 initial square root is modulo 17997547 Mon Aug 17 18:14:07 2020 GCD is N, no factor found Mon Aug 17 18:14:07 2020 reading relations for dependency 2 Mon Aug 17 18:14:08 2020 read 2552588 cycles Mon Aug 17 18:14:12 2020 cycles contain 7970698 unique relations Mon Aug 17 18:17:07 2020 read 7970698 relations Mon Aug 17 18:17:47 2020 multiplying 7970698 relations Mon Aug 17 18:22:29 2020 multiply complete, coefficients have about 202.10 million bits Mon Aug 17 18:22:31 2020 initial square root is modulo 17896003 Mon Aug 17 18:28:34 2020 sqrtTime: 1735 Mon Aug 17 18:28:34 2020 p53 factor: 32170652446812320931387130595103234679380837336115991 Mon Aug 17 18:28:34 2020 p162 factor: 313919492836155192784522739168899633430838567074365064323901546854704349306791238675910651786473012417095681855180517108702259074060566732712572811102241620335269 Mon Aug 17 18:28:34 2020 elapsed time 21:14:27