Sun May 30 14:19:46 2021 Sun May 30 14:19:46 2021 Sun May 30 14:19:46 2021 Msieve v. 1.54 (SVN 1025) Sun May 30 14:19:46 2021 random seeds: 924acd90 d1d12c43 Sun May 30 14:19:46 2021 factoring 492814440383158169300421235157104557020141961710096944800293608770273262772737660322494789605417517244000144496936368384289906386354399863132915413818334927538079 (162 digits) Sun May 30 14:19:46 2021 no P-1/P+1/ECM available, skipping Sun May 30 14:19:46 2021 commencing number field sieve (162-digit input) Sun May 30 14:19:46 2021 R0: -23974559707028278928079194033688 Sun May 30 14:19:46 2021 R1: 255021438453302381 Sun May 30 14:19:46 2021 A0: 2860257410783843537547046544643972737875 Sun May 30 14:19:46 2021 A1: 25887191519919336129637313136675905 Sun May 30 14:19:46 2021 A2: -1954268231128157916500821231 Sun May 30 14:19:46 2021 A3: -150432834073295874569 Sun May 30 14:19:46 2021 A4: 2932594691736 Sun May 30 14:19:46 2021 A5: 62220 Sun May 30 14:19:46 2021 skew 23970823.73, size 8.184e-16, alpha -7.862, combined = 9.968e-13 rroots = 5 Sun May 30 14:19:46 2021 Sun May 30 14:19:46 2021 commencing relation filtering Sun May 30 14:19:46 2021 setting target matrix density to 120.0 Sun May 30 14:19:46 2021 estimated available RAM is 15890.5 MB Sun May 30 14:19:46 2021 commencing duplicate removal, pass 1 Sun May 30 14:34:06 2021 skipped 34 relations with composite factors Sun May 30 14:34:06 2021 found 27269824 hash collisions in 123702418 relations Sun May 30 14:34:29 2021 added 121755 free relations Sun May 30 14:34:29 2021 commencing duplicate removal, pass 2 Sun May 30 14:36:41 2021 found 27848512 duplicates and 95975661 unique relations Sun May 30 14:36:41 2021 memory use: 724.8 MB Sun May 30 14:36:41 2021 reading ideals above 79757312 Sun May 30 14:36:41 2021 commencing singleton removal, initial pass Sun May 30 14:45:51 2021 memory use: 1506.0 MB Sun May 30 14:45:51 2021 reading all ideals from disk Sun May 30 14:45:54 2021 memory use: 1604.2 MB Sun May 30 14:45:58 2021 commencing in-memory singleton removal Sun May 30 14:46:00 2021 begin with 95975661 relations and 80338044 unique ideals Sun May 30 14:46:36 2021 reduce to 60031771 relations and 40530499 ideals in 14 passes Sun May 30 14:46:36 2021 max relations containing the same ideal: 38 Sun May 30 14:46:39 2021 reading ideals above 720000 Sun May 30 14:46:39 2021 commencing singleton removal, initial pass Sun May 30 14:55:10 2021 memory use: 1378.0 MB Sun May 30 14:55:10 2021 reading all ideals from disk Sun May 30 14:55:32 2021 memory use: 2224.7 MB Sun May 30 14:55:38 2021 keeping 49521615 ideals with weight <= 200, target excess is 318385 Sun May 30 14:55:48 2021 commencing in-memory singleton removal Sun May 30 14:55:58 2021 begin with 60031771 relations and 49521615 unique ideals Sun May 30 14:57:19 2021 reduce to 60006775 relations and 49496616 ideals in 10 passes Sun May 30 14:57:19 2021 max relations containing the same ideal: 200 Sun May 30 14:58:00 2021 removing 9073737 relations and 7073737 ideals in 2000000 cliques Sun May 30 14:58:03 2021 commencing in-memory singleton removal Sun May 30 14:58:12 2021 begin with 50933038 relations and 49496616 unique ideals Sun May 30 14:59:06 2021 reduce to 49885672 relations and 41333330 ideals in 8 passes Sun May 30 14:59:06 2021 max relations containing the same ideal: 188 Sun May 30 14:59:45 2021 removing 7153354 relations and 5153354 ideals in 2000000 cliques Sun May 30 14:59:48 2021 commencing in-memory singleton removal Sun May 30 14:59:53 2021 begin with 42732318 relations and 41333330 unique ideals Sun May 30 15:00:34 2021 reduce to 41959661 relations and 35377034 ideals in 8 passes Sun May 30 15:00:34 2021 max relations containing the same ideal: 166 Sun May 30 15:01:03 2021 removing 6637713 relations and 4637713 ideals in 2000000 cliques Sun May 30 15:01:06 2021 commencing in-memory singleton removal Sun May 30 15:01:11 2021 begin with 35321948 relations and 35377034 unique ideals Sun May 30 15:01:49 2021 reduce to 34570521 relations and 29955122 ideals in 9 passes Sun May 30 15:01:49 2021 max relations containing the same ideal: 148 Sun May 30 15:02:13 2021 removing 6400945 relations and 4400945 ideals in 2000000 cliques Sun May 30 15:02:15 2021 commencing in-memory singleton removal Sun May 30 15:02:18 2021 begin with 28169576 relations and 29955122 unique ideals Sun May 30 15:02:42 2021 reduce to 27361706 relations and 24704778 ideals in 9 passes Sun May 30 15:02:42 2021 max relations containing the same ideal: 127 Sun May 30 15:02:58 2021 removing 6268038 relations and 4268038 ideals in 2000000 cliques Sun May 30 15:03:00 2021 commencing in-memory singleton removal Sun May 30 15:03:03 2021 begin with 21093668 relations and 24704778 unique ideals Sun May 30 15:03:21 2021 reduce to 20131157 relations and 19412466 ideals in 9 passes Sun May 30 15:03:21 2021 max relations containing the same ideal: 102 Sun May 30 15:03:33 2021 removing 1605653 relations and 1256289 ideals in 349364 cliques Sun May 30 15:03:34 2021 commencing in-memory singleton removal Sun May 30 15:03:36 2021 begin with 18525504 relations and 19412466 unique ideals Sun May 30 15:03:48 2021 reduce to 18440380 relations and 18069667 ideals in 7 passes Sun May 30 15:03:48 2021 max relations containing the same ideal: 96 Sun May 30 15:04:03 2021 relations with 0 large ideals: 987 Sun May 30 15:04:03 2021 relations with 1 large ideals: 3231 Sun May 30 15:04:03 2021 relations with 2 large ideals: 50196 Sun May 30 15:04:03 2021 relations with 3 large ideals: 373039 Sun May 30 15:04:03 2021 relations with 4 large ideals: 1471665 Sun May 30 15:04:03 2021 relations with 5 large ideals: 3426677 Sun May 30 15:04:03 2021 relations with 6 large ideals: 4983294 Sun May 30 15:04:03 2021 relations with 7+ large ideals: 8131291 Sun May 30 15:04:03 2021 commencing 2-way merge Sun May 30 15:04:16 2021 reduce to 11862362 relation sets and 11491649 unique ideals Sun May 30 15:04:16 2021 commencing full merge Sun May 30 15:08:52 2021 memory use: 1458.2 MB Sun May 30 15:08:53 2021 found 5338674 cycles, need 5317849 Sun May 30 15:08:56 2021 weight of 5317849 cycles is about 638886368 (120.14/cycle) Sun May 30 15:08:56 2021 distribution of cycle lengths: Sun May 30 15:08:56 2021 1 relations: 202531 Sun May 30 15:08:56 2021 2 relations: 314783 Sun May 30 15:08:56 2021 3 relations: 374977 Sun May 30 15:08:56 2021 4 relations: 394989 Sun May 30 15:08:56 2021 5 relations: 406636 Sun May 30 15:08:56 2021 6 relations: 403747 Sun May 30 15:08:56 2021 7 relations: 399065 Sun May 30 15:08:56 2021 8 relations: 378221 Sun May 30 15:08:56 2021 9 relations: 354559 Sun May 30 15:08:56 2021 10+ relations: 2088341 Sun May 30 15:08:56 2021 heaviest cycle: 28 relations Sun May 30 15:08:57 2021 commencing cycle optimization Sun May 30 15:09:08 2021 start with 46710246 relations Sun May 30 15:11:01 2021 pruned 2150650 relations Sun May 30 15:11:01 2021 memory use: 1245.7 MB Sun May 30 15:11:01 2021 distribution of cycle lengths: Sun May 30 15:11:01 2021 1 relations: 202531 Sun May 30 15:11:01 2021 2 relations: 323548 Sun May 30 15:11:01 2021 3 relations: 392064 Sun May 30 15:11:01 2021 4 relations: 412083 Sun May 30 15:11:01 2021 5 relations: 427964 Sun May 30 15:11:01 2021 6 relations: 424683 Sun May 30 15:11:01 2021 7 relations: 419925 Sun May 30 15:11:01 2021 8 relations: 395630 Sun May 30 15:11:01 2021 9 relations: 369883 Sun May 30 15:11:01 2021 10+ relations: 1949538 Sun May 30 15:11:01 2021 heaviest cycle: 28 relations Sun May 30 15:11:11 2021 RelProcTime: 3085 Sun May 30 15:11:14 2021 elapsed time 00:51:28 Sun May 30 13:17:49 2021 Sun May 30 13:17:49 2021 Sun May 30 13:17:49 2021 Msieve v. 1.52 (SVN exported) Sun May 30 13:17:49 2021 random seeds: d9569be0 d9232428 Sun May 30 13:17:49 2021 factoring 492814440383158169300421235157104557020141961710096944800293608770273262772737660322494789605417517244000144496936368384289906386354399863132915413818334927538079 (162 digits) Sun May 30 13:17:51 2021 searching for 15-digit factors Sun May 30 13:17:52 2021 commencing number field sieve (162-digit input) Sun May 30 13:17:52 2021 R0: -23974559707028278928079194033688 Sun May 30 13:17:52 2021 R1: 255021438453302381 Sun May 30 13:17:52 2021 A0: 2860257410783843537547046544643972737875 Sun May 30 13:17:52 2021 A1: 25887191519919336129637313136675905 Sun May 30 13:17:52 2021 A2: -1954268231128157916500821231 Sun May 30 13:17:52 2021 A3: -150432834073295874569 Sun May 30 13:17:52 2021 A4: 2932594691736 Sun May 30 13:17:52 2021 A5: 62220 Sun May 30 13:17:52 2021 skew 23970823.73, size 8.184e-16, alpha -7.862, combined = 9.968e-13 rroots = 5 Sun May 30 13:17:52 2021 Sun May 30 13:17:52 2021 commencing linear algebra Sun May 30 13:17:52 2021 skipping matrix build Sun May 30 13:18:02 2021 matrix starts at (0, 0) Sun May 30 13:18:04 2021 matrix is 5317585 x 5317763 (2508.9 MB) with weight 767845435 (144.39/col) Sun May 30 13:18:04 2021 sparse part has weight 593867946 (111.68/col) Sun May 30 13:18:04 2021 saving the first 48 matrix rows for later Sun May 30 13:18:05 2021 matrix includes 64 packed rows Sun May 30 13:18:06 2021 matrix is 5317537 x 5317763 (2447.1 MB) with weight 660257610 (124.16/col) Sun May 30 13:18:06 2021 sparse part has weight 588314899 (110.63/col) Sun May 30 13:18:06 2021 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB Sun May 30 13:18:42 2021 commencing Lanczos iteration (8 threads) Sun May 30 13:18:42 2021 memory use: 2023.3 MB Sun May 30 13:19:01 2021 linear algebra at 0.0%, ETA 18h25m Sun May 30 13:19:08 2021 checkpointing every 290000 dimensions Mon May 31 07:18:10 2021 lanczos halted after 84090 iterations (dim = 5317535) Mon May 31 07:18:17 2021 recovered 28 nontrivial dependencies Mon May 31 07:18:17 2021 BLanczosTime: 64825 Mon May 31 07:18:17 2021 elapsed time 18:00:28 Mon May 31 10:30:29 2021 Mon May 31 10:30:29 2021 Mon May 31 10:30:29 2021 Msieve v. 1.54 (SVN 1025) Mon May 31 10:30:29 2021 random seeds: 3ded1e1d 404abf2a Mon May 31 10:30:29 2021 factoring 492814440383158169300421235157104557020141961710096944800293608770273262772737660322494789605417517244000144496936368384289906386354399863132915413818334927538079 (162 digits) Mon May 31 10:30:30 2021 no P-1/P+1/ECM available, skipping Mon May 31 10:30:30 2021 commencing number field sieve (162-digit input) Mon May 31 10:30:30 2021 R0: -23974559707028278928079194033688 Mon May 31 10:30:30 2021 R1: 255021438453302381 Mon May 31 10:30:30 2021 A0: 2860257410783843537547046544643972737875 Mon May 31 10:30:30 2021 A1: 25887191519919336129637313136675905 Mon May 31 10:30:30 2021 A2: -1954268231128157916500821231 Mon May 31 10:30:30 2021 A3: -150432834073295874569 Mon May 31 10:30:30 2021 A4: 2932594691736 Mon May 31 10:30:30 2021 A5: 62220 Mon May 31 10:30:30 2021 skew 23970823.73, size 8.184e-16, alpha -7.862, combined = 9.968e-13 rroots = 5 Mon May 31 10:30:30 2021 Mon May 31 10:30:30 2021 commencing square root phase Mon May 31 10:30:30 2021 reading relations for dependency 1 Mon May 31 10:30:30 2021 read 2658144 cycles Mon May 31 10:30:36 2021 cycles contain 9110910 unique relations Mon May 31 10:32:34 2021 read 9110910 relations Mon May 31 10:33:21 2021 multiplying 9110910 relations Mon May 31 10:39:50 2021 multiply complete, coefficients have about 485.33 million bits Mon May 31 10:39:52 2021 initial square root is modulo 510887357 Mon May 31 10:47:45 2021 sqrtTime: 1035 Mon May 31 10:47:45 2021 p74 factor: 96917879124499137524684349150913791428017315084372828675149794306031063287 Mon May 31 10:47:45 2021 p88 factor: 5084866124134812343728163446961083586809552854038366090009720383955929492223122302270617 Mon May 31 10:47:45 2021 elapsed time 00:17:16