Sun Oct 11 10:15:51 2020 Sun Oct 11 10:15:51 2020 Sun Oct 11 10:15:51 2020 Msieve v. 1.54 (SVN 1025) Sun Oct 11 10:15:51 2020 random seeds: 739ddb05 9d24a30e Sun Oct 11 10:15:51 2020 factoring 12633485084815001425290994191375265892548802068713339139831503899363754042839493483019536557684461196850896795457828479463180866902736928907047274995254612862945265787 (167 digits) Sun Oct 11 10:15:51 2020 no P-1/P+1/ECM available, skipping Sun Oct 11 10:15:51 2020 commencing number field sieve (167-digit input) Sun Oct 11 10:15:51 2020 R0: -251610230470960144515006155213293 Sun Oct 11 10:15:51 2020 R1: 167612820266534747 Sun Oct 11 10:15:51 2020 A0: 524509302782216743124630150942497383601608 Sun Oct 11 10:15:51 2020 A1: 200629253746793348522246237185229698 Sun Oct 11 10:15:51 2020 A2: 9704799489439619090478886019 Sun Oct 11 10:15:51 2020 A3: -44978987405296816164 Sun Oct 11 10:15:51 2020 A4: -2185772045004 Sun Oct 11 10:15:51 2020 A5: 12528 Sun Oct 11 10:15:51 2020 skew 60300384.78, size 3.727e-16, alpha -7.878, combined = 6.280e-13 rroots = 5 Sun Oct 11 10:15:51 2020 Sun Oct 11 10:15:51 2020 commencing relation filtering Sun Oct 11 10:15:51 2020 setting target matrix density to 130.0 Sun Oct 11 10:15:51 2020 estimated available RAM is 15891.6 MB Sun Oct 11 10:15:51 2020 commencing duplicate removal, pass 1 Sun Oct 11 10:31:27 2020 skipped 66 relations with composite factors Sun Oct 11 10:31:27 2020 found 29457563 hash collisions in 127115302 relations Sun Oct 11 10:31:51 2020 added 121591 free relations Sun Oct 11 10:31:51 2020 commencing duplicate removal, pass 2 Sun Oct 11 10:34:27 2020 found 30521418 duplicates and 96715475 unique relations Sun Oct 11 10:34:27 2020 memory use: 724.8 MB Sun Oct 11 10:34:27 2020 reading ideals above 117768192 Sun Oct 11 10:34:27 2020 commencing singleton removal, initial pass Sun Oct 11 10:43:51 2020 memory use: 1506.0 MB Sun Oct 11 10:43:51 2020 reading all ideals from disk Sun Oct 11 10:44:04 2020 memory use: 1527.9 MB Sun Oct 11 10:44:09 2020 commencing in-memory singleton removal Sun Oct 11 10:44:13 2020 begin with 96715475 relations and 77246858 unique ideals Sun Oct 11 10:44:52 2020 reduce to 61731756 relations and 38627489 ideals in 13 passes Sun Oct 11 10:44:52 2020 max relations containing the same ideal: 31 Sun Oct 11 10:44:55 2020 reading ideals above 720000 Sun Oct 11 10:44:55 2020 commencing singleton removal, initial pass Sun Oct 11 10:54:14 2020 memory use: 1378.0 MB Sun Oct 11 10:54:14 2020 reading all ideals from disk Sun Oct 11 10:54:37 2020 memory use: 2327.6 MB Sun Oct 11 10:54:48 2020 keeping 51722257 ideals with weight <= 200, target excess is 328187 Sun Oct 11 10:54:56 2020 commencing in-memory singleton removal Sun Oct 11 10:55:04 2020 begin with 61731756 relations and 51722257 unique ideals Sun Oct 11 10:56:25 2020 reduce to 61555997 relations and 51546416 ideals in 11 passes Sun Oct 11 10:56:25 2020 max relations containing the same ideal: 200 Sun Oct 11 10:57:02 2020 removing 5633909 relations and 4633909 ideals in 1000000 cliques Sun Oct 11 10:57:04 2020 commencing in-memory singleton removal Sun Oct 11 10:57:12 2020 begin with 55922088 relations and 51546416 unique ideals Sun Oct 11 10:58:04 2020 reduce to 55553853 relations and 46536895 ideals in 8 passes Sun Oct 11 10:58:04 2020 max relations containing the same ideal: 195 Sun Oct 11 10:58:37 2020 removing 4294933 relations and 3294933 ideals in 1000000 cliques Sun Oct 11 10:58:39 2020 commencing in-memory singleton removal Sun Oct 11 10:58:46 2020 begin with 51258920 relations and 46536895 unique ideals Sun Oct 11 10:59:27 2020 reduce to 51011862 relations and 42990607 ideals in 7 passes Sun Oct 11 10:59:27 2020 max relations containing the same ideal: 185 Sun Oct 11 10:59:58 2020 removing 3887444 relations and 2887444 ideals in 1000000 cliques Sun Oct 11 10:59:59 2020 commencing in-memory singleton removal Sun Oct 11 11:00:06 2020 begin with 47124418 relations and 42990607 unique ideals Sun Oct 11 11:00:44 2020 reduce to 46906874 relations and 39881632 ideals in 7 passes Sun Oct 11 11:00:44 2020 max relations containing the same ideal: 176 Sun Oct 11 11:01:13 2020 removing 3677069 relations and 2677069 ideals in 1000000 cliques Sun Oct 11 11:01:14 2020 commencing in-memory singleton removal Sun Oct 11 11:01:20 2020 begin with 43229805 relations and 39881632 unique ideals Sun Oct 11 11:01:49 2020 reduce to 43020980 relations and 36991989 ideals in 6 passes Sun Oct 11 11:01:49 2020 max relations containing the same ideal: 168 Sun Oct 11 11:02:15 2020 removing 3547224 relations and 2547224 ideals in 1000000 cliques Sun Oct 11 11:02:17 2020 commencing in-memory singleton removal Sun Oct 11 11:02:22 2020 begin with 39473756 relations and 36991989 unique ideals Sun Oct 11 11:02:55 2020 reduce to 39267326 relations and 34234101 ideals in 8 passes Sun Oct 11 11:02:55 2020 max relations containing the same ideal: 159 Sun Oct 11 11:03:18 2020 removing 3463589 relations and 2463589 ideals in 1000000 cliques Sun Oct 11 11:03:20 2020 commencing in-memory singleton removal Sun Oct 11 11:03:24 2020 begin with 35803737 relations and 34234101 unique ideals Sun Oct 11 11:03:47 2020 reduce to 35593667 relations and 31555933 ideals in 6 passes Sun Oct 11 11:03:47 2020 max relations containing the same ideal: 151 Sun Oct 11 11:04:08 2020 removing 3403313 relations and 2403313 ideals in 1000000 cliques Sun Oct 11 11:04:09 2020 commencing in-memory singleton removal Sun Oct 11 11:04:13 2020 begin with 32190354 relations and 31555933 unique ideals Sun Oct 11 11:04:33 2020 reduce to 31971774 relations and 28928913 ideals in 6 passes Sun Oct 11 11:04:33 2020 max relations containing the same ideal: 138 Sun Oct 11 11:04:52 2020 removing 3363796 relations and 2363796 ideals in 1000000 cliques Sun Oct 11 11:04:53 2020 commencing in-memory singleton removal Sun Oct 11 11:04:56 2020 begin with 28607978 relations and 28928913 unique ideals Sun Oct 11 11:05:17 2020 reduce to 28372727 relations and 26323705 ideals in 7 passes Sun Oct 11 11:05:17 2020 max relations containing the same ideal: 126 Sun Oct 11 11:05:33 2020 removing 3340801 relations and 2340801 ideals in 1000000 cliques Sun Oct 11 11:05:35 2020 commencing in-memory singleton removal Sun Oct 11 11:05:37 2020 begin with 25031926 relations and 26323705 unique ideals Sun Oct 11 11:05:55 2020 reduce to 24767068 relations and 23710346 ideals in 7 passes Sun Oct 11 11:05:55 2020 max relations containing the same ideal: 119 Sun Oct 11 11:06:10 2020 removing 2431868 relations and 1755843 ideals in 676025 cliques Sun Oct 11 11:06:11 2020 commencing in-memory singleton removal Sun Oct 11 11:06:14 2020 begin with 22335200 relations and 23710346 unique ideals Sun Oct 11 11:06:29 2020 reduce to 22173617 relations and 21789023 ideals in 7 passes Sun Oct 11 11:06:29 2020 max relations containing the same ideal: 110 Sun Oct 11 11:06:45 2020 relations with 0 large ideals: 1125 Sun Oct 11 11:06:45 2020 relations with 1 large ideals: 2557 Sun Oct 11 11:06:45 2020 relations with 2 large ideals: 42666 Sun Oct 11 11:06:45 2020 relations with 3 large ideals: 337122 Sun Oct 11 11:06:45 2020 relations with 4 large ideals: 1433155 Sun Oct 11 11:06:45 2020 relations with 5 large ideals: 3627014 Sun Oct 11 11:06:45 2020 relations with 6 large ideals: 5765973 Sun Oct 11 11:06:45 2020 relations with 7+ large ideals: 10964005 Sun Oct 11 11:06:45 2020 commencing 2-way merge Sun Oct 11 11:07:02 2020 reduce to 14842079 relation sets and 14457485 unique ideals Sun Oct 11 11:07:02 2020 commencing full merge Sun Oct 11 11:13:27 2020 memory use: 1828.4 MB Sun Oct 11 11:13:28 2020 found 6511712 cycles, need 6507685 Sun Oct 11 11:13:31 2020 weight of 6507685 cycles is about 846117596 (130.02/cycle) Sun Oct 11 11:13:31 2020 distribution of cycle lengths: Sun Oct 11 11:13:31 2020 1 relations: 172738 Sun Oct 11 11:13:31 2020 2 relations: 344827 Sun Oct 11 11:13:31 2020 3 relations: 431331 Sun Oct 11 11:13:31 2020 4 relations: 457617 Sun Oct 11 11:13:31 2020 5 relations: 482997 Sun Oct 11 11:13:31 2020 6 relations: 483511 Sun Oct 11 11:13:31 2020 7 relations: 475214 Sun Oct 11 11:13:31 2020 8 relations: 459775 Sun Oct 11 11:13:31 2020 9 relations: 433425 Sun Oct 11 11:13:31 2020 10+ relations: 2766250 Sun Oct 11 11:13:31 2020 heaviest cycle: 28 relations Sun Oct 11 11:13:33 2020 commencing cycle optimization Sun Oct 11 11:13:49 2020 start with 60411033 relations Sun Oct 11 11:16:31 2020 pruned 3075621 relations Sun Oct 11 11:16:31 2020 memory use: 1545.8 MB Sun Oct 11 11:16:31 2020 distribution of cycle lengths: Sun Oct 11 11:16:31 2020 1 relations: 172738 Sun Oct 11 11:16:31 2020 2 relations: 355558 Sun Oct 11 11:16:31 2020 3 relations: 452284 Sun Oct 11 11:16:31 2020 4 relations: 479619 Sun Oct 11 11:16:31 2020 5 relations: 510738 Sun Oct 11 11:16:31 2020 6 relations: 509636 Sun Oct 11 11:16:31 2020 7 relations: 503949 Sun Oct 11 11:16:31 2020 8 relations: 484372 Sun Oct 11 11:16:31 2020 9 relations: 456503 Sun Oct 11 11:16:31 2020 10+ relations: 2582288 Sun Oct 11 11:16:31 2020 heaviest cycle: 28 relations Sun Oct 11 11:16:51 2020 RelProcTime: 3660 Sun Oct 11 11:16:51 2020 elapsed time 01:01:00 Sun Oct 11 11:44:10 2020 Sun Oct 11 11:44:10 2020 Sun Oct 11 11:44:10 2020 Msieve v. 1.54 (SVN 1025) Sun Oct 11 11:44:10 2020 random seeds: e5472a6f 120a7ba0 Sun Oct 11 11:44:10 2020 factoring 12633485084815001425290994191375265892548802068713339139831503899363754042839493483019536557684461196850896795457828479463180866902736928907047274995254612862945265787 (167 digits) Sun Oct 11 11:44:11 2020 no P-1/P+1/ECM available, skipping Sun Oct 11 11:44:11 2020 commencing number field sieve (167-digit input) Sun Oct 11 11:44:11 2020 R0: -251610230470960144515006155213293 Sun Oct 11 11:44:11 2020 R1: 167612820266534747 Sun Oct 11 11:44:11 2020 A0: 524509302782216743124630150942497383601608 Sun Oct 11 11:44:11 2020 A1: 200629253746793348522246237185229698 Sun Oct 11 11:44:11 2020 A2: 9704799489439619090478886019 Sun Oct 11 11:44:11 2020 A3: -44978987405296816164 Sun Oct 11 11:44:11 2020 A4: -2185772045004 Sun Oct 11 11:44:11 2020 A5: 12528 Sun Oct 11 11:44:11 2020 skew 60300384.78, size 3.727e-16, alpha -7.878, combined = 6.280e-13 rroots = 5 Sun Oct 11 11:44:11 2020 Sun Oct 11 11:44:11 2020 commencing linear algebra Sun Oct 11 11:44:12 2020 read 6507685 cycles Sun Oct 11 11:44:30 2020 cycles contain 21952771 unique relations Sun Oct 11 11:47:35 2020 read 21952771 relations Sun Oct 11 11:48:20 2020 using 20 quadratic characters above 4294917295 Sun Oct 11 11:49:50 2020 building initial matrix Sun Oct 11 11:56:58 2020 memory use: 3096.9 MB Sun Oct 11 11:57:10 2020 read 6507685 cycles Sun Oct 11 11:57:12 2020 matrix is 6507508 x 6507685 (3272.0 MB) with weight 1003324202 (154.18/col) Sun Oct 11 11:57:12 2020 sparse part has weight 779630971 (119.80/col) Sun Oct 11 11:58:45 2020 filtering completed in 2 passes Sun Oct 11 11:58:47 2020 matrix is 6507489 x 6507666 (3272.0 MB) with weight 1003323326 (154.18/col) Sun Oct 11 11:58:47 2020 sparse part has weight 779630769 (119.80/col) Sun Oct 11 12:00:04 2020 matrix starts at (0, 0) Sun Oct 11 12:00:05 2020 matrix is 6507489 x 6507666 (3272.0 MB) with weight 1003323326 (154.18/col) Sun Oct 11 12:00:05 2020 sparse part has weight 779630769 (119.80/col) Sun Oct 11 12:00:05 2020 saving the first 48 matrix rows for later Sun Oct 11 12:00:06 2020 matrix includes 64 packed rows Sun Oct 11 12:00:07 2020 matrix is 6507441 x 6507666 (3198.3 MB) with weight 863175241 (132.64/col) Sun Oct 11 12:00:07 2020 sparse part has weight 773339670 (118.84/col) Sun Oct 11 12:00:07 2020 using block size 8192 and superblock size 786432 for processor cache size 8192 kB Sun Oct 11 12:00:30 2020 commencing Lanczos iteration Sun Oct 11 12:00:30 2020 memory use: 2951.5 MB Sun Oct 11 12:02:11 2020 linear algebra at 0.0%, ETA 115h 6m Sun Oct 11 12:02:43 2020 checkpointing every 60000 dimensions Sun Oct 11 12:03:51 2020 lanczos halted after 49 iterations (dim = 3100) Sun Oct 11 12:03:51 2020 BLanczosTime: 1180 Sun Oct 11 12:03:51 2020 elapsed time 00:19:41 Sun Oct 11 09:33:28 2020 Sun Oct 11 09:33:28 2020 Sun Oct 11 09:33:28 2020 Msieve v. 1.52 (SVN exported) Sun Oct 11 09:33:28 2020 random seeds: 9ec39c43 6a0659b4 Sun Oct 11 09:33:28 2020 factoring 12633485084815001425290994191375265892548802068713339139831503899363754042839493483019536557684461196850896795457828479463180866902736928907047274995254612862945265787 (167 digits) Sun Oct 11 09:33:29 2020 searching for 15-digit factors Sun Oct 11 09:33:31 2020 commencing number field sieve (167-digit input) Sun Oct 11 09:33:31 2020 R0: -251610230470960144515006155213293 Sun Oct 11 09:33:31 2020 R1: 167612820266534747 Sun Oct 11 09:33:31 2020 A0: 524509302782216743124630150942497383601608 Sun Oct 11 09:33:31 2020 A1: 200629253746793348522246237185229698 Sun Oct 11 09:33:31 2020 A2: 9704799489439619090478886019 Sun Oct 11 09:33:31 2020 A3: -44978987405296816164 Sun Oct 11 09:33:31 2020 A4: -2185772045004 Sun Oct 11 09:33:31 2020 A5: 12528 Sun Oct 11 09:33:31 2020 skew 60300384.78, size 3.727e-16, alpha -7.878, combined = 6.280e-13 rroots = 5 Sun Oct 11 09:33:31 2020 Sun Oct 11 09:33:31 2020 commencing linear algebra Sun Oct 11 09:33:31 2020 skipping matrix build Sun Oct 11 09:33:37 2020 matrix starts at (0, 0) Sun Oct 11 09:33:39 2020 matrix is 6507489 x 6507666 (3272.0 MB) with weight 1003323326 (154.18/col) Sun Oct 11 09:33:39 2020 sparse part has weight 779630769 (119.80/col) Sun Oct 11 09:33:39 2020 saving the first 48 matrix rows for later Sun Oct 11 09:33:40 2020 matrix includes 64 packed rows Sun Oct 11 09:33:41 2020 matrix is 6507441 x 6507666 (3198.3 MB) with weight 863175241 (132.64/col) Sun Oct 11 09:33:41 2020 sparse part has weight 773339670 (118.84/col) Sun Oct 11 09:33:42 2020 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB Sun Oct 11 09:34:27 2020 commencing Lanczos iteration (8 threads) Sun Oct 11 09:34:27 2020 memory use: 2647.6 MB Sun Oct 11 09:34:55 2020 linear algebra at 0.0%, ETA 30h57m Sun Oct 11 09:35:05 2020 checkpointing every 210000 dimensions Mon Oct 12 18:26:35 2020 lanczos halted after 102913 iterations (dim = 6507440) Mon Oct 12 18:26:43 2020 recovered 29 nontrivial dependencies Mon Oct 12 18:26:43 2020 BLanczosTime: 118392 Mon Oct 12 18:26:43 2020 elapsed time 32:53:15 Mon Oct 12 23:57:55 2020 Mon Oct 12 23:57:55 2020 Mon Oct 12 23:57:55 2020 Msieve v. 1.54 (SVN 1025) Mon Oct 12 23:57:55 2020 random seeds: 23e0e89f 66c638e6 Mon Oct 12 23:57:55 2020 factoring 12633485084815001425290994191375265892548802068713339139831503899363754042839493483019536557684461196850896795457828479463180866902736928907047274995254612862945265787 (167 digits) Mon Oct 12 23:57:56 2020 no P-1/P+1/ECM available, skipping Mon Oct 12 23:57:56 2020 commencing number field sieve (167-digit input) Mon Oct 12 23:57:56 2020 R0: -251610230470960144515006155213293 Mon Oct 12 23:57:56 2020 R1: 167612820266534747 Mon Oct 12 23:57:56 2020 A0: 524509302782216743124630150942497383601608 Mon Oct 12 23:57:56 2020 A1: 200629253746793348522246237185229698 Mon Oct 12 23:57:56 2020 A2: 9704799489439619090478886019 Mon Oct 12 23:57:56 2020 A3: -44978987405296816164 Mon Oct 12 23:57:56 2020 A4: -2185772045004 Mon Oct 12 23:57:56 2020 A5: 12528 Mon Oct 12 23:57:56 2020 skew 60300384.78, size 3.727e-16, alpha -7.878, combined = 6.280e-13 rroots = 5 Mon Oct 12 23:57:56 2020 Mon Oct 12 23:57:56 2020 commencing square root phase Mon Oct 12 23:57:56 2020 reading relations for dependency 1 Mon Oct 12 23:57:58 2020 read 3251366 cycles Mon Oct 12 23:58:07 2020 cycles contain 10973076 unique relations Tue Oct 13 00:00:32 2020 read 10973076 relations Tue Oct 13 00:01:40 2020 multiplying 10973076 relations Tue Oct 13 00:10:14 2020 multiply complete, coefficients have about 568.58 million bits Tue Oct 13 00:10:16 2020 initial square root is modulo 126223 Tue Oct 13 00:21:01 2020 sqrtTime: 1385 Tue Oct 13 00:21:02 2020 p67 factor: 8559546000911249568355485174931040163514929619510492902272469514381 Tue Oct 13 00:21:02 2020 p100 factor: 1475952706308259825784507991931516441757646911838672994964072493727248019189421619255302105280927527 Tue Oct 13 00:21:02 2020 elapsed time 00:23:07