Sat Jun 2 12:24:54 2018 Sat Jun 2 12:24:54 2018 Sat Jun 2 12:24:54 2018 Msieve v. 1.52 (SVN unknown) Sat Jun 2 12:24:54 2018 random seeds: 340d2566 db1e6be6 Sat Jun 2 12:24:54 2018 factoring 2083088855636710074611556899555269967545773796051083964992348741867490506220970462864860362862363115504861846383520323612523782816736486953221823258388630612171335944025445082320745916921763794345543037574318469595422552717819 (226 digits) Sat Jun 2 12:24:55 2018 no P-1/P+1/ECM available, skipping Sat Jun 2 12:24:55 2018 commencing number field sieve (226-digit input) Sat Jun 2 12:24:55 2018 R0: 5575186299632655785383929568162090376495104 Sat Jun 2 12:24:55 2018 R1: -1 Sat Jun 2 12:24:55 2018 A0: -1 Sat Jun 2 12:24:55 2018 A1: 0 Sat Jun 2 12:24:55 2018 A2: 0 Sat Jun 2 12:24:55 2018 A3: 0 Sat Jun 2 12:24:55 2018 A4: 0 Sat Jun 2 12:24:55 2018 A5: 0 Sat Jun 2 12:24:55 2018 A6: 13 Sat Jun 2 12:24:55 2018 skew 0.65, size 1.004e-12, alpha 1.953, combined = 1.160e-13 rroots = 2 Sat Jun 2 12:24:55 2018 Sat Jun 2 12:24:55 2018 commencing relation filtering Sat Jun 2 12:24:55 2018 setting target matrix density to 130.0 Sat Jun 2 12:24:55 2018 estimated available RAM is 15888.3 MB Sat Jun 2 12:24:55 2018 commencing duplicate removal, pass 1 Sun Jun 3 08:49:20 2018 error -11 reading relation 476685435 Sun Jun 3 08:49:20 2018 error -11 reading relation 476685436 Sun Jun 3 08:49:20 2018 error -11 reading relation 476685437 Sun Jun 3 08:49:20 2018 error -11 reading relation 476685438 Sun Jun 3 08:49:20 2018 error -11 reading relation 476685439 Sun Jun 3 08:49:20 2018 error -11 reading relation 476685440 Sun Jun 3 08:49:20 2018 error -11 reading relation 476685441 Sun Jun 3 08:49:20 2018 error -11 reading relation 476685442 Sun Jun 3 08:49:20 2018 error -11 reading relation 476685443 Sun Jun 3 08:49:20 2018 error -11 reading relation 476685444 Sun Jun 3 08:49:20 2018 error -11 reading relation 476685445 Sun Jun 3 08:52:17 2018 error -15 reading relation 505487512 Sun Jun 3 08:53:11 2018 error -5 reading relation 514428182 Sun Jun 3 08:53:23 2018 error -15 reading relation 516559034 Sun Jun 3 08:54:21 2018 error -5 reading relation 526579786 Sun Jun 3 08:55:33 2018 skipped 858 relations with b > 2^32 Sun Jun 3 08:55:33 2018 found 57302642 hash collisions in 537312864 relations Sun Jun 3 08:55:45 2018 commencing duplicate removal, pass 2 Sun Jun 3 08:59:33 2018 found 3 duplicates and 537312861 unique relations Sun Jun 3 08:59:33 2018 memory use: 2387.0 MB Sun Jun 3 08:59:33 2018 reading ideals above 259981312 Sun Jun 3 08:59:33 2018 commencing singleton removal, initial pass Sun Jun 3 10:02:08 2018 memory use: 11024.0 MB Sun Jun 3 10:02:08 2018 removing singletons from LP file Sun Jun 3 10:02:08 2018 start with 537312861 relations and 537688328 ideals Sun Jun 3 10:04:22 2018 pass 1: found 221739396 singletons Sun Jun 3 10:05:54 2018 pruned dataset has 315573465 relations and 268154582 large ideals Sun Jun 3 10:05:54 2018 reading all ideals from disk Sun Jun 3 10:06:13 2018 memory use: 5349.7 MB Sun Jun 3 10:06:35 2018 commencing in-memory singleton removal Sun Jun 3 10:06:57 2018 begin with 315573465 relations and 268154582 unique ideals Sun Jun 3 10:12:09 2018 reduce to 220534169 relations and 167034023 ideals in 20 passes Sun Jun 3 10:12:09 2018 max relations containing the same ideal: 36 Sun Jun 3 10:12:27 2018 reading ideals above 720000 Sun Jun 3 10:12:27 2018 commencing singleton removal, initial pass Sun Jun 3 10:47:19 2018 memory use: 5512.0 MB Sun Jun 3 10:47:19 2018 reading large ideals from disk Sun Jun 3 10:49:12 2018 keeping 177421621 ideals with weight <= 20, target excess is 17994171 Sun Jun 3 10:51:14 2018 memory use: 5302.6 MB Sun Jun 3 10:51:14 2018 commencing in-memory singleton removal Sun Jun 3 10:51:20 2018 begin with 220534169 relations and 177421621 unique ideals Sun Jun 3 10:53:45 2018 reduce to 220515858 relations and 177403310 ideals in 16 passes Sun Jun 3 10:53:45 2018 max relations containing the same ideal: 20 Sun Jun 3 10:54:59 2018 removing 18913809 relations and 16913809 ideals in 2000000 cliques Sun Jun 3 10:55:04 2018 commencing in-memory singleton removal Sun Jun 3 10:55:11 2018 begin with 201602049 relations and 177403310 unique ideals Sun Jun 3 10:56:41 2018 reduce to 200261279 relations and 159131150 ideals in 11 passes Sun Jun 3 10:56:41 2018 max relations containing the same ideal: 20 Sun Jun 3 10:57:41 2018 removing 13639278 relations and 11639278 ideals in 2000000 cliques Sun Jun 3 10:57:46 2018 commencing in-memory singleton removal Sun Jun 3 10:57:53 2018 begin with 186622001 relations and 159131150 unique ideals Sun Jun 3 10:59:12 2018 reduce to 185814666 relations and 146675675 ideals in 11 passes Sun Jun 3 10:59:12 2018 max relations containing the same ideal: 20 Sun Jun 3 11:00:09 2018 removing 11964490 relations and 9964490 ideals in 2000000 cliques Sun Jun 3 11:00:14 2018 commencing in-memory singleton removal Sun Jun 3 11:00:18 2018 begin with 173850176 relations and 146675675 unique ideals Sun Jun 3 11:01:27 2018 reduce to 173163256 relations and 136016799 ideals in 10 passes Sun Jun 3 11:01:27 2018 max relations containing the same ideal: 20 Sun Jun 3 11:02:17 2018 removing 11055149 relations and 9055149 ideals in 2000000 cliques Sun Jun 3 11:02:21 2018 commencing in-memory singleton removal Sun Jun 3 11:02:26 2018 begin with 162108107 relations and 136016799 unique ideals Sun Jun 3 11:03:22 2018 reduce to 161480025 relations and 126326581 ideals in 9 passes Sun Jun 3 11:03:22 2018 max relations containing the same ideal: 20 Sun Jun 3 11:04:09 2018 removing 10435835 relations and 8435835 ideals in 2000000 cliques Sun Jun 3 11:04:13 2018 commencing in-memory singleton removal Sun Jun 3 11:04:17 2018 begin with 151044190 relations and 126326581 unique ideals Sun Jun 3 11:05:09 2018 reduce to 150439280 relations and 117278747 ideals in 9 passes Sun Jun 3 11:05:09 2018 max relations containing the same ideal: 20 Sun Jun 3 11:05:57 2018 removing 9989554 relations and 7989554 ideals in 2000000 cliques Sun Jun 3 11:06:01 2018 commencing in-memory singleton removal Sun Jun 3 11:06:04 2018 begin with 140449726 relations and 117278747 unique ideals Sun Jun 3 11:06:50 2018 reduce to 139847920 relations and 108679928 ideals in 9 passes Sun Jun 3 11:06:50 2018 max relations containing the same ideal: 20 Sun Jun 3 11:07:33 2018 removing 9662163 relations and 7662163 ideals in 2000000 cliques Sun Jun 3 11:07:37 2018 commencing in-memory singleton removal Sun Jun 3 11:07:40 2018 begin with 130185757 relations and 108679928 unique ideals Sun Jun 3 11:08:23 2018 reduce to 129577534 relations and 100401536 ideals in 9 passes Sun Jun 3 11:08:23 2018 max relations containing the same ideal: 20 Sun Jun 3 11:09:02 2018 removing 9429708 relations and 7429708 ideals in 2000000 cliques Sun Jun 3 11:09:05 2018 commencing in-memory singleton removal Sun Jun 3 11:09:09 2018 begin with 120147826 relations and 100401536 unique ideals Sun Jun 3 11:09:54 2018 reduce to 119529698 relations and 92344914 ideals in 10 passes Sun Jun 3 11:09:54 2018 max relations containing the same ideal: 20 Sun Jun 3 11:10:31 2018 removing 9233276 relations and 7233276 ideals in 2000000 cliques Sun Jun 3 11:10:34 2018 commencing in-memory singleton removal Sun Jun 3 11:10:37 2018 begin with 110296422 relations and 92344914 unique ideals Sun Jun 3 11:11:20 2018 reduce to 109655796 relations and 84461174 ideals in 10 passes Sun Jun 3 11:11:20 2018 max relations containing the same ideal: 20 Sun Jun 3 11:11:54 2018 removing 9083122 relations and 7083122 ideals in 2000000 cliques Sun Jun 3 11:11:57 2018 commencing in-memory singleton removal Sun Jun 3 11:12:01 2018 begin with 100572674 relations and 84461174 unique ideals Sun Jun 3 11:12:38 2018 reduce to 99904646 relations and 76698781 ideals in 11 passes Sun Jun 3 11:12:38 2018 max relations containing the same ideal: 19 Sun Jun 3 11:13:10 2018 removing 8947218 relations and 6947218 ideals in 2000000 cliques Sun Jun 3 11:13:13 2018 commencing in-memory singleton removal Sun Jun 3 11:13:16 2018 begin with 90957428 relations and 76698781 unique ideals Sun Jun 3 11:13:43 2018 reduce to 90218193 relations and 68998930 ideals in 9 passes Sun Jun 3 11:13:43 2018 max relations containing the same ideal: 19 Sun Jun 3 11:14:10 2018 removing 2078978 relations and 1732954 ideals in 346024 cliques Sun Jun 3 11:14:11 2018 commencing in-memory singleton removal Sun Jun 3 11:14:14 2018 begin with 88139215 relations and 68998930 unique ideals Sun Jun 3 11:14:35 2018 reduce to 88102623 relations and 67229272 ideals in 7 passes Sun Jun 3 11:14:35 2018 max relations containing the same ideal: 19 Sun Jun 3 11:15:05 2018 relations with 0 large ideals: 3530662 Sun Jun 3 11:15:05 2018 relations with 1 large ideals: 15866431 Sun Jun 3 11:15:05 2018 relations with 2 large ideals: 30210187 Sun Jun 3 11:15:05 2018 relations with 3 large ideals: 25789300 Sun Jun 3 11:15:05 2018 relations with 4 large ideals: 10289105 Sun Jun 3 11:15:05 2018 relations with 5 large ideals: 1958504 Sun Jun 3 11:15:05 2018 relations with 6 large ideals: 343761 Sun Jun 3 11:15:05 2018 relations with 7+ large ideals: 114673 Sun Jun 3 11:15:05 2018 commencing 2-way merge Sun Jun 3 11:15:36 2018 reduce to 50240544 relation sets and 29367193 unique ideals Sun Jun 3 11:15:36 2018 commencing full merge Sun Jun 3 11:20:55 2018 memory use: 2467.7 MB Sun Jun 3 11:20:58 2018 found 21544073 cycles, need 20269371 Sun Jun 3 11:21:04 2018 weight of 20269371 cycles is about 2518701848 (124.26/cycle) Sun Jun 3 11:21:04 2018 distribution of cycle lengths: Sun Jun 3 11:21:04 2018 1 relations: 3543881 Sun Jun 3 11:21:04 2018 2 relations: 1425019 Sun Jun 3 11:21:04 2018 3 relations: 1163551 Sun Jun 3 11:21:04 2018 4 relations: 1045665 Sun Jun 3 11:21:04 2018 5 relations: 1000144 Sun Jun 3 11:21:04 2018 6 relations: 949650 Sun Jun 3 11:21:04 2018 7 relations: 920827 Sun Jun 3 11:21:04 2018 8 relations: 887404 Sun Jun 3 11:21:04 2018 9 relations: 859720 Sun Jun 3 11:21:04 2018 10+ relations: 8473510 Sun Jun 3 11:21:04 2018 heaviest cycle: 28 relations Sun Jun 3 11:21:04 2018 commencing cycle optimization Sun Jun 3 11:21:41 2018 start with 178687241 relations Sun Jun 3 11:27:20 2018 pruned 11957443 relations Sun Jun 3 11:27:20 2018 memory use: 4763.4 MB Sun Jun 3 11:27:20 2018 distribution of cycle lengths: Sun Jun 3 11:27:20 2018 1 relations: 3543881 Sun Jun 3 11:27:20 2018 2 relations: 1473376 Sun Jun 3 11:27:20 2018 3 relations: 1223690 Sun Jun 3 11:27:20 2018 4 relations: 1107089 Sun Jun 3 11:27:20 2018 5 relations: 1072093 Sun Jun 3 11:27:20 2018 6 relations: 1024939 Sun Jun 3 11:27:20 2018 7 relations: 1002259 Sun Jun 3 11:27:20 2018 8 relations: 967407 Sun Jun 3 11:27:20 2018 9 relations: 942153 Sun Jun 3 11:27:20 2018 10+ relations: 7912484 Sun Jun 3 11:27:20 2018 heaviest cycle: 28 relations Sun Jun 3 11:27:41 2018 RelProcTime: 12363 Sun Jun 3 11:27:41 2018 elapsed time 03:26:04 Sun Jun 3 16:02:33 2018 Sun Jun 3 16:02:33 2018 Sun Jun 3 16:02:33 2018 Msieve v. 1.52 (SVN unknown) Sun Jun 3 16:02:33 2018 random seeds: b8be0482 01fc0d29 Sun Jun 3 16:02:33 2018 factoring 2083088855636710074611556899555269967545773796051083964992348741867490506220970462864860362862363115504861846383520323612523782816736486953221823258388630612171335944025445082320745916921763794345543037574318469595422552717819 (226 digits) Sun Jun 3 16:02:34 2018 no P-1/P+1/ECM available, skipping Sun Jun 3 16:02:34 2018 commencing number field sieve (226-digit input) Sun Jun 3 16:02:34 2018 R0: 5575186299632655785383929568162090376495104 Sun Jun 3 16:02:34 2018 R1: -1 Sun Jun 3 16:02:34 2018 A0: -1 Sun Jun 3 16:02:34 2018 A1: 0 Sun Jun 3 16:02:34 2018 A2: 0 Sun Jun 3 16:02:34 2018 A3: 0 Sun Jun 3 16:02:34 2018 A4: 0 Sun Jun 3 16:02:34 2018 A5: 0 Sun Jun 3 16:02:34 2018 A6: 13 Sun Jun 3 16:02:34 2018 skew 0.65, size 1.004e-12, alpha 1.953, combined = 1.160e-13 rroots = 2 Sun Jun 3 16:02:34 2018 Sun Jun 3 16:02:34 2018 commencing linear algebra Sun Jun 3 16:02:37 2018 read 20269371 cycles Sun Jun 3 16:03:28 2018 cycles contain 73928239 unique relations Sun Jun 3 16:10:14 2018 read 73928239 relations Sun Jun 3 16:13:03 2018 using 20 quadratic characters above 4294917296 Sun Jun 3 16:18:20 2018 building initial matrix Sun Jun 3 16:33:30 2018 memory use: 8964.2 MB Sun Jun 3 16:33:57 2018 read 20269371 cycles Sun Jun 3 16:34:00 2018 matrix is 20268814 x 20269371 (9328.4 MB) with weight 2643624095 (130.42/col) Sun Jun 3 16:34:00 2018 sparse part has weight 2242702624 (110.64/col) Sun Jun 3 16:39:46 2018 filtering completed in 3 passes Sun Jun 3 16:39:49 2018 matrix is 20256049 x 20256249 (9325.0 MB) with weight 2642573478 (130.46/col) Sun Jun 3 16:39:49 2018 sparse part has weight 2241925230 (110.68/col) Sun Jun 3 16:41:25 2018 matrix starts at (0, 0) Sun Jun 3 16:41:28 2018 matrix is 20256049 x 20256249 (9325.0 MB) with weight 2642573478 (130.46/col) Sun Jun 3 16:41:28 2018 sparse part has weight 2241925230 (110.68/col) Sun Jun 3 16:41:28 2018 saving the first 48 matrix rows for later Sun Jun 3 16:41:31 2018 matrix includes 64 packed rows Sun Jun 3 16:41:34 2018 matrix is 20256001 x 20256249 (8953.3 MB) with weight 2276412748 (112.38/col) Sun Jun 3 16:41:34 2018 sparse part has weight 2144481362 (105.87/col) Sun Jun 3 16:41:34 2018 using block size 8192 and superblock size 1474560 for processor cache size 15360 kB Sun Jun 3 16:43:16 2018 commencing Lanczos iteration (6 threads) Sun Jun 3 16:43:16 2018 memory use: 7721.8 MB Sun Jun 3 16:45:13 2018 linear algebra at 0.0%, ETA 416h12m Sun Jun 3 16:45:50 2018 checkpointing every 50000 dimensions Wed Jun 20 17:25:05 2018 lanczos halted after 320333 iterations (dim = 20256000) Wed Jun 20 17:25:28 2018 recovered 36 nontrivial dependencies Wed Jun 20 17:25:30 2018 BLanczosTime: 1473776 Wed Jun 20 17:25:30 2018 Wed Jun 20 17:25:30 2018 commencing square root phase Wed Jun 20 17:25:30 2018 reading relations for dependency 1 Wed Jun 20 17:25:32 2018 read 10126086 cycles Wed Jun 20 17:25:51 2018 cycles contain 36946300 unique relations Wed Jun 20 17:29:32 2018 read 36946300 relations Wed Jun 20 17:32:12 2018 multiplying 36946300 relations Wed Jun 20 17:57:15 2018 multiply complete, coefficients have about 1059.79 million bits Wed Jun 20 17:57:18 2018 initial square root is modulo 56779 Wed Jun 20 18:22:24 2018 GCD is N, no factor found Wed Jun 20 18:22:24 2018 reading relations for dependency 2 Wed Jun 20 18:22:26 2018 read 10129092 cycles Wed Jun 20 18:22:45 2018 cycles contain 36959404 unique relations Wed Jun 20 18:26:27 2018 read 36959404 relations Wed Jun 20 18:29:01 2018 multiplying 36959404 relations Wed Jun 20 18:55:23 2018 multiply complete, coefficients have about 1060.15 million bits Wed Jun 20 18:55:26 2018 initial square root is modulo 57037 Wed Jun 20 19:22:43 2018 sqrtTime: 7033 Wed Jun 20 19:22:43 2018 prp103 factor: 5098901019034895789451794613929637557829060075588483643185723575264307760134370354598910323087720901403 Wed Jun 20 19:22:43 2018 prp123 factor: 408536829379557300920067953953623995447635639329025753758961880343666102971901434401114532473870420957116123094520174131873 Wed Jun 20 19:22:43 2018 elapsed time 411:20:10