Wed Oct 2 18:58:56 2019 Wed Oct 2 18:58:56 2019 Wed Oct 2 18:58:56 2019 Msieve v. 1.54 (SVN 1025) Wed Oct 2 18:58:56 2019 random seeds: f69daac7 6d232a6f Wed Oct 2 18:58:56 2019 factoring 468269618361282171551337013819070291239501563559463372034112026178044177695451457082104681349362713723859464485790484709739510305710560022344837436771237025870915859201863454691147040840801725317028554338314237 (210 digits) Wed Oct 2 18:58:57 2019 searching for 15-digit factors Wed Oct 2 18:58:58 2019 commencing number field sieve (210-digit input) Wed Oct 2 18:58:58 2019 R0: 47165050359016025140809214910084857571 Wed Oct 2 18:58:58 2019 R1: -1 Wed Oct 2 18:58:58 2019 A0: -1 Wed Oct 2 18:58:58 2019 A1: 0 Wed Oct 2 18:58:58 2019 A2: 0 Wed Oct 2 18:58:58 2019 A3: 0 Wed Oct 2 18:58:58 2019 A4: 0 Wed Oct 2 18:58:58 2019 A5: 0 Wed Oct 2 18:58:58 2019 A6: 3613045528091 Wed Oct 2 18:58:58 2019 skew 0.01, size 4.036e-13, alpha 1.451, combined = 6.527e-14 rroots = 2 Wed Oct 2 18:58:58 2019 Wed Oct 2 18:58:58 2019 commencing relation filtering Wed Oct 2 18:58:58 2019 setting target matrix density to 132.0 Wed Oct 2 18:58:58 2019 estimated available RAM is 15984.7 MB Wed Oct 2 18:58:58 2019 commencing duplicate removal, pass 1 Wed Oct 2 19:09:10 2019 error -15 reading relation 90287920 Wed Oct 2 19:13:56 2019 error -15 reading relation 132212578 Wed Oct 2 19:17:56 2019 error -15 reading relation 167172005 Wed Oct 2 19:19:11 2019 error -5 reading relation 177932503 Wed Oct 2 19:19:24 2019 error -15 reading relation 179918091 Wed Oct 2 19:28:38 2019 error -11 reading relation 259734928 Wed Oct 2 19:28:52 2019 error -11 reading relation 261797618 Wed Oct 2 19:34:24 2019 error -11 reading relation 309682031 Wed Oct 2 19:35:05 2019 error -5 reading relation 315605467 Wed Oct 2 19:37:52 2019 error -15 reading relation 339804942 Wed Oct 2 19:38:13 2019 error -1 reading relation 342838595 Wed Oct 2 19:38:14 2019 error -1 reading relation 342929855 Wed Oct 2 19:38:19 2019 error -5 reading relation 343665297 Wed Oct 2 19:38:29 2019 error -1 reading relation 344995955 Wed Oct 2 19:38:57 2019 skipped 1162117 relations with b > 2^32 Wed Oct 2 19:38:57 2019 skipped 3 relations with composite factors Wed Oct 2 19:38:57 2019 found 25377581 hash collisions in 347950340 relations Wed Oct 2 19:39:11 2019 added 1219624 free relations Wed Oct 2 19:39:11 2019 commencing duplicate removal, pass 2 Wed Oct 2 19:40:48 2019 found 41 duplicates and 349169923 unique relations Wed Oct 2 19:40:48 2019 memory use: 1257.5 MB Wed Oct 2 19:40:48 2019 reading ideals above 209387520 Wed Oct 2 19:40:48 2019 commencing singleton removal, initial pass Wed Oct 2 20:11:01 2019 memory use: 6024.0 MB Wed Oct 2 20:11:01 2019 reading all ideals from disk Wed Oct 2 20:11:18 2019 memory use: 7028.9 MB Wed Oct 2 20:11:35 2019 commencing in-memory singleton removal Wed Oct 2 20:11:52 2019 begin with 349169923 relations and 314499347 unique ideals Wed Oct 2 20:15:14 2019 reduce to 211109207 relations and 160998556 ideals in 16 passes Wed Oct 2 20:15:14 2019 max relations containing the same ideal: 39 Wed Oct 2 20:15:28 2019 reading ideals above 720000 Wed Oct 2 20:15:28 2019 commencing singleton removal, initial pass Wed Oct 2 20:39:22 2019 memory use: 5512.0 MB Wed Oct 2 20:39:23 2019 reading large ideals from disk Wed Oct 2 20:40:53 2019 keeping 169114587 ideals with weight <= 20, target excess is 15026590 Wed Oct 2 20:42:26 2019 memory use: 5259.6 MB Wed Oct 2 20:42:26 2019 commencing in-memory singleton removal Wed Oct 2 20:42:34 2019 begin with 211109207 relations and 169114587 unique ideals Wed Oct 2 20:44:14 2019 reduce to 211102043 relations and 169107423 ideals in 10 passes Wed Oct 2 20:44:14 2019 max relations containing the same ideal: 20 Wed Oct 2 20:45:09 2019 removing 14593525 relations and 12593526 ideals in 2000000 cliques Wed Oct 2 20:45:13 2019 commencing in-memory singleton removal Wed Oct 2 20:45:21 2019 begin with 196508518 relations and 169107423 unique ideals Wed Oct 2 20:46:44 2019 reduce to 195608310 relations and 155601374 ideals in 9 passes Wed Oct 2 20:46:44 2019 max relations containing the same ideal: 20 Wed Oct 2 20:47:35 2019 removing 10895773 relations and 8895773 ideals in 2000000 cliques Wed Oct 2 20:47:38 2019 commencing in-memory singleton removal Wed Oct 2 20:47:45 2019 begin with 184712537 relations and 155601374 unique ideals Wed Oct 2 20:48:54 2019 reduce to 184151157 relations and 146137673 ideals in 8 passes Wed Oct 2 20:48:54 2019 max relations containing the same ideal: 20 Wed Oct 2 20:49:42 2019 removing 9752307 relations and 7752307 ideals in 2000000 cliques Wed Oct 2 20:49:45 2019 commencing in-memory singleton removal Wed Oct 2 20:49:51 2019 begin with 174398850 relations and 146137673 unique ideals Wed Oct 2 20:50:59 2019 reduce to 173920309 relations and 137901436 ideals in 9 passes Wed Oct 2 20:50:59 2019 max relations containing the same ideal: 20 Wed Oct 2 20:51:44 2019 removing 9135439 relations and 7135439 ideals in 2000000 cliques Wed Oct 2 20:51:47 2019 commencing in-memory singleton removal Wed Oct 2 20:51:52 2019 begin with 164784870 relations and 137901436 unique ideals Wed Oct 2 20:52:49 2019 reduce to 164341515 relations and 130317521 ideals in 8 passes Wed Oct 2 20:52:49 2019 max relations containing the same ideal: 20 Wed Oct 2 20:53:31 2019 removing 8736307 relations and 6736307 ideals in 2000000 cliques Wed Oct 2 20:53:34 2019 commencing in-memory singleton removal Wed Oct 2 20:53:39 2019 begin with 155605208 relations and 130317521 unique ideals Wed Oct 2 20:54:33 2019 reduce to 155178826 relations and 123149855 ideals in 8 passes Wed Oct 2 20:54:33 2019 max relations containing the same ideal: 20 Wed Oct 2 20:55:13 2019 removing 8462018 relations and 6462018 ideals in 2000000 cliques Wed Oct 2 20:55:16 2019 commencing in-memory singleton removal Wed Oct 2 20:55:21 2019 begin with 146716808 relations and 123149855 unique ideals Wed Oct 2 20:56:02 2019 reduce to 146298630 relations and 116264708 ideals in 7 passes Wed Oct 2 20:56:02 2019 max relations containing the same ideal: 20 Wed Oct 2 20:56:38 2019 removing 8264794 relations and 6264794 ideals in 2000000 cliques Wed Oct 2 20:56:41 2019 commencing in-memory singleton removal Wed Oct 2 20:56:45 2019 begin with 138033836 relations and 116264708 unique ideals Wed Oct 2 20:57:29 2019 reduce to 137614004 relations and 109574595 ideals in 8 passes Wed Oct 2 20:57:29 2019 max relations containing the same ideal: 20 Wed Oct 2 20:58:04 2019 removing 8118804 relations and 6118804 ideals in 2000000 cliques Wed Oct 2 20:58:07 2019 commencing in-memory singleton removal Wed Oct 2 20:58:11 2019 begin with 129495200 relations and 109574595 unique ideals Wed Oct 2 20:58:51 2019 reduce to 129069761 relations and 103024634 ideals in 8 passes Wed Oct 2 20:58:51 2019 max relations containing the same ideal: 20 Wed Oct 2 20:59:24 2019 removing 8016146 relations and 6016146 ideals in 2000000 cliques Wed Oct 2 20:59:26 2019 commencing in-memory singleton removal Wed Oct 2 20:59:30 2019 begin with 121053615 relations and 103024634 unique ideals Wed Oct 2 21:00:08 2019 reduce to 120617722 relations and 96566336 ideals in 8 passes Wed Oct 2 21:00:08 2019 max relations containing the same ideal: 20 Wed Oct 2 21:00:38 2019 removing 7934942 relations and 5934942 ideals in 2000000 cliques Wed Oct 2 21:00:41 2019 commencing in-memory singleton removal Wed Oct 2 21:00:44 2019 begin with 112682780 relations and 96566336 unique ideals Wed Oct 2 21:01:20 2019 reduce to 112224471 relations and 90165984 ideals in 8 passes Wed Oct 2 21:01:20 2019 max relations containing the same ideal: 20 Wed Oct 2 21:01:48 2019 removing 7874245 relations and 5874245 ideals in 2000000 cliques Wed Oct 2 21:01:50 2019 commencing in-memory singleton removal Wed Oct 2 21:01:53 2019 begin with 104350226 relations and 90165984 unique ideals Wed Oct 2 21:02:24 2019 reduce to 103862669 relations and 83796154 ideals in 8 passes Wed Oct 2 21:02:24 2019 max relations containing the same ideal: 20 Wed Oct 2 21:02:49 2019 removing 7878891 relations and 5878891 ideals in 2000000 cliques Wed Oct 2 21:02:51 2019 commencing in-memory singleton removal Wed Oct 2 21:02:54 2019 begin with 95983778 relations and 83796154 unique ideals Wed Oct 2 21:03:26 2019 reduce to 95461541 relations and 77385789 ideals in 9 passes Wed Oct 2 21:03:26 2019 max relations containing the same ideal: 19 Wed Oct 2 21:03:49 2019 removing 3125458 relations and 2480551 ideals in 644907 cliques Wed Oct 2 21:03:50 2019 commencing in-memory singleton removal Wed Oct 2 21:03:53 2019 begin with 92336083 relations and 77385789 unique ideals Wed Oct 2 21:04:12 2019 reduce to 92255650 relations and 74824285 ideals in 6 passes Wed Oct 2 21:04:12 2019 max relations containing the same ideal: 19 Wed Oct 2 21:04:39 2019 relations with 0 large ideals: 1850382 Wed Oct 2 21:04:39 2019 relations with 1 large ideals: 8920797 Wed Oct 2 21:04:39 2019 relations with 2 large ideals: 22740738 Wed Oct 2 21:04:39 2019 relations with 3 large ideals: 29424015 Wed Oct 2 21:04:39 2019 relations with 4 large ideals: 20211102 Wed Oct 2 21:04:39 2019 relations with 5 large ideals: 7365786 Wed Oct 2 21:04:39 2019 relations with 6 large ideals: 1484197 Wed Oct 2 21:04:39 2019 relations with 7+ large ideals: 258633 Wed Oct 2 21:04:39 2019 commencing 2-way merge Wed Oct 2 21:05:09 2019 reduce to 58874700 relation sets and 41443335 unique ideals Wed Oct 2 21:05:09 2019 commencing full merge Wed Oct 2 21:13:21 2019 memory use: 3647.5 MB Wed Oct 2 21:13:25 2019 found 24570659 cycles, need 23061535 Wed Oct 2 21:13:31 2019 weight of 23061535 cycles is about 3044153122 (132.00/cycle) Wed Oct 2 21:13:31 2019 distribution of cycle lengths: Wed Oct 2 21:13:31 2019 1 relations: 2079455 Wed Oct 2 21:13:31 2019 2 relations: 1268710 Wed Oct 2 21:13:31 2019 3 relations: 1341568 Wed Oct 2 21:13:31 2019 4 relations: 1348691 Wed Oct 2 21:13:31 2019 5 relations: 1374020 Wed Oct 2 21:13:31 2019 6 relations: 1347924 Wed Oct 2 21:13:31 2019 7 relations: 1328900 Wed Oct 2 21:13:31 2019 8 relations: 1294675 Wed Oct 2 21:13:31 2019 9 relations: 1245648 Wed Oct 2 21:13:31 2019 10+ relations: 10431944 Wed Oct 2 21:13:31 2019 heaviest cycle: 27 relations Wed Oct 2 21:13:32 2019 commencing cycle optimization Wed Oct 2 21:14:12 2019 start with 215030463 relations Wed Oct 2 21:21:20 2019 pruned 11801604 relations Wed Oct 2 21:21:20 2019 memory use: 5590.0 MB Wed Oct 2 21:21:20 2019 distribution of cycle lengths: Wed Oct 2 21:21:20 2019 1 relations: 2079455 Wed Oct 2 21:21:20 2019 2 relations: 1314580 Wed Oct 2 21:21:20 2019 3 relations: 1417466 Wed Oct 2 21:21:20 2019 4 relations: 1429187 Wed Oct 2 21:21:20 2019 5 relations: 1467888 Wed Oct 2 21:21:20 2019 6 relations: 1441564 Wed Oct 2 21:21:20 2019 7 relations: 1426323 Wed Oct 2 21:21:20 2019 8 relations: 1384296 Wed Oct 2 21:21:20 2019 9 relations: 1334500 Wed Oct 2 21:21:20 2019 10+ relations: 9766276 Wed Oct 2 21:21:20 2019 heaviest cycle: 26 relations Wed Oct 2 21:21:56 2019 RelProcTime: 8578 Wed Oct 2 21:22:03 2019 Wed Oct 2 21:22:03 2019 commencing linear algebra Wed Oct 2 21:22:04 2019 read 23061535 cycles Wed Oct 2 21:22:45 2019 cycles contain 82458369 unique relations Wed Oct 2 21:28:52 2019 read 82458369 relations Wed Oct 2 21:31:12 2019 using 20 quadratic characters above 4294917295 Wed Oct 2 21:35:54 2019 building initial matrix Wed Oct 2 21:49:40 2019 memory use: 10561.4 MB Wed Oct 2 21:50:12 2019 read 23061535 cycles Wed Oct 2 21:50:15 2019 matrix is 23061172 x 23061535 (11551.7 MB) with weight 3284898099 (142.44/col) Wed Oct 2 21:50:15 2019 sparse part has weight 2774529627 (120.31/col) Wed Oct 2 21:58:08 2019 filtering completed in 3 passes Wed Oct 2 21:58:12 2019 matrix is 23049819 x 23050019 (11549.0 MB) with weight 3284050129 (142.47/col) Wed Oct 2 21:58:12 2019 sparse part has weight 2773951408 (120.34/col) Wed Oct 2 21:59:51 2019 matrix starts at (0, 0) Wed Oct 2 21:59:54 2019 matrix is 23049819 x 23050019 (11549.0 MB) with weight 3284050129 (142.47/col) Wed Oct 2 21:59:54 2019 sparse part has weight 2773951408 (120.34/col) Wed Oct 2 21:59:54 2019 saving the first 48 matrix rows for later Wed Oct 2 21:59:57 2019 matrix includes 64 packed rows Wed Oct 2 22:00:01 2019 matrix is 23049771 x 23050019 (11080.7 MB) with weight 2842338884 (123.31/col) Wed Oct 2 22:00:01 2019 sparse part has weight 2674230070 (116.02/col) Wed Oct 2 22:00:01 2019 using block size 8192 and superblock size 589824 for processor cache size 6144 kB Wed Oct 2 22:01:36 2019 commencing Lanczos iteration (4 threads) Wed Oct 2 22:01:36 2019 memory use: 10659.3 MB Wed Oct 2 22:03:45 2019 linear algebra at 0.0%, ETA 522h59m Wed Oct 2 22:04:26 2019 checkpointing every 50000 dimensions Mon Oct 21 13:48:25 2019 Mon Oct 21 13:48:25 2019 Mon Oct 21 13:48:25 2019 Msieve v. 1.54 (SVN 1025) Mon Oct 21 13:48:25 2019 random seeds: cc714fb8 43535ecb Mon Oct 21 13:48:25 2019 factoring 468269618361282171551337013819070291239501563559463372034112026178044177695451457082104681349362713723859464485790484709739510305710560022344837436771237025870915859201863454691147040840801725317028554338314237 (210 digits) Mon Oct 21 13:48:26 2019 searching for 15-digit factors Mon Oct 21 13:48:26 2019 commencing number field sieve (210-digit input) Mon Oct 21 13:48:26 2019 R0: 47165050359016025140809214910084857571 Mon Oct 21 13:48:26 2019 R1: -1 Mon Oct 21 13:48:26 2019 A0: -1 Mon Oct 21 13:48:26 2019 A1: 0 Mon Oct 21 13:48:26 2019 A2: 0 Mon Oct 21 13:48:26 2019 A3: 0 Mon Oct 21 13:48:26 2019 A4: 0 Mon Oct 21 13:48:26 2019 A5: 0 Mon Oct 21 13:48:26 2019 A6: 3613045528091 Mon Oct 21 13:48:26 2019 skew 0.01, size 4.036e-13, alpha 1.451, combined = 6.527e-14 rroots = 2 Mon Oct 21 13:48:26 2019 Mon Oct 21 13:48:26 2019 commencing linear algebra Mon Oct 21 13:48:53 2019 matrix starts at (0, 0) Mon Oct 21 13:48:56 2019 matrix is 23049819 x 23050019 (11549.0 MB) with weight 3284050129 (142.47/col) Mon Oct 21 13:48:56 2019 sparse part has weight 2773951408 (120.34/col) Mon Oct 21 13:48:56 2019 saving the first 48 matrix rows for later Mon Oct 21 13:49:00 2019 matrix includes 64 packed rows Mon Oct 21 13:49:03 2019 matrix is 23049771 x 23050019 (11080.7 MB) with weight 2842338884 (123.31/col) Mon Oct 21 13:49:03 2019 sparse part has weight 2674230070 (116.02/col) Mon Oct 21 13:49:03 2019 using block size 8192 and superblock size 589824 for processor cache size 6144 kB Mon Oct 21 13:50:38 2019 commencing Lanczos iteration (4 threads) Mon Oct 21 13:50:38 2019 memory use: 10659.3 MB Mon Oct 21 13:50:41 2019 restarting at iteration 318655 (dim = 20150013) Mon Oct 21 13:52:44 2019 linear algebra at 87.4%, ETA 65h 1m Mon Oct 21 13:53:25 2019 checkpointing every 50000 dimensions Tue Oct 22 12:06:35 2019 Tue Oct 22 12:06:35 2019 Tue Oct 22 12:06:35 2019 Msieve v. 1.54 (SVN 1025) Tue Oct 22 12:06:35 2019 random seeds: 55f4a0d2 40011260 Tue Oct 22 12:06:35 2019 factoring 468269618361282171551337013819070291239501563559463372034112026178044177695451457082104681349362713723859464485790484709739510305710560022344837436771237025870915859201863454691147040840801725317028554338314237 (210 digits) Tue Oct 22 12:06:36 2019 searching for 15-digit factors Tue Oct 22 12:06:36 2019 commencing number field sieve (210-digit input) Tue Oct 22 12:06:36 2019 R0: 47165050359016025140809214910084857571 Tue Oct 22 12:06:36 2019 R1: -1 Tue Oct 22 12:06:36 2019 A0: -1 Tue Oct 22 12:06:36 2019 A1: 0 Tue Oct 22 12:06:36 2019 A2: 0 Tue Oct 22 12:06:36 2019 A3: 0 Tue Oct 22 12:06:36 2019 A4: 0 Tue Oct 22 12:06:36 2019 A5: 0 Tue Oct 22 12:06:36 2019 A6: 3613045528091 Tue Oct 22 12:06:36 2019 skew 0.01, size 4.036e-13, alpha 1.451, combined = 6.527e-14 rroots = 2 Tue Oct 22 12:06:36 2019 Tue Oct 22 12:06:36 2019 commencing linear algebra Tue Oct 22 12:07:03 2019 matrix starts at (0, 0) Tue Oct 22 12:07:06 2019 matrix is 23049819 x 23050019 (11549.0 MB) with weight 3284050129 (142.47/col) Tue Oct 22 12:07:06 2019 sparse part has weight 2773951408 (120.34/col) Tue Oct 22 12:07:06 2019 saving the first 48 matrix rows for later Tue Oct 22 12:07:10 2019 matrix includes 64 packed rows Tue Oct 22 12:07:13 2019 matrix is 23049771 x 23050019 (11080.7 MB) with weight 2842338884 (123.31/col) Tue Oct 22 12:07:13 2019 sparse part has weight 2674230070 (116.02/col) Tue Oct 22 12:07:13 2019 using block size 8192 and superblock size 589824 for processor cache size 6144 kB Tue Oct 22 12:08:48 2019 commencing Lanczos iteration (4 threads) Tue Oct 22 12:08:48 2019 memory use: 10659.3 MB Tue Oct 22 12:08:50 2019 restarting at iteration 331306 (dim = 20950060) Tue Oct 22 12:10:54 2019 linear algebra at 90.9%, ETA 47h35m Tue Oct 22 12:11:32 2019 checkpointing every 50000 dimensions Thu Oct 24 10:24:07 2019 lanczos halted after 364513 iterations (dim = 23049765) Thu Oct 24 10:24:36 2019 recovered 34 nontrivial dependencies Thu Oct 24 10:24:37 2019 BLanczosTime: 166681 Thu Oct 24 10:24:37 2019 Thu Oct 24 10:24:37 2019 commencing square root phase Thu Oct 24 10:24:37 2019 reading relations for dependency 1 Thu Oct 24 10:24:39 2019 read 11523314 cycles Thu Oct 24 10:24:58 2019 cycles contain 41226286 unique relations Thu Oct 24 10:28:17 2019 read 41226286 relations Thu Oct 24 10:30:37 2019 multiplying 41226286 relations Thu Oct 24 11:48:11 2019 multiply complete, coefficients have about 2637.47 million bits Thu Oct 24 11:48:18 2019 initial square root is modulo 823177 Thu Oct 24 13:08:10 2019 sqrtTime: 9813 Thu Oct 24 13:08:10 2019 p71 factor: 30462735666040958433739930982398065165454151492444403817571698945593991 Thu Oct 24 13:08:10 2019 p140 factor: 15371883323115218318120610286679762882118242409872285607895915375747727232566552436767220304615805823601736952864325127313053690246629449307 Thu Oct 24 13:08:10 2019 elapsed time 49:01:35