Wed Oct 13 02:10:01 2021 Wed Oct 13 02:10:01 2021 Wed Oct 13 02:10:01 2021 Msieve v. 1.54 (SVN unknown) Wed Oct 13 02:10:01 2021 random seeds: 50377b4f b27cad97 Wed Oct 13 02:10:01 2021 factoring 51187248480875632885122046173993596026025490924689810872203425153229595839071747113861405067219845895527291145193918285628090921039309692681390376122034826571319901877893191104322492759049812658866450271 (203 digits) Wed Oct 13 02:10:02 2021 no P-1/P+1/ECM available, skipping Wed Oct 13 02:10:02 2021 commencing number field sieve (203-digit input) Wed Oct 13 02:10:02 2021 R0: 12288381826278378235712063697684697601746915312568569241 Wed Oct 13 02:10:02 2021 R1: -1 Wed Oct 13 02:10:02 2021 A0: 1 Wed Oct 13 02:10:02 2021 A1: 1 Wed Oct 13 02:10:02 2021 A2: 1 Wed Oct 13 02:10:02 2021 A3: 1 Wed Oct 13 02:10:02 2021 A4: 1 Wed Oct 13 02:10:02 2021 skew 1.00, size 1.885e-22, alpha 1.694, combined = 2.167e-13 rroots = 0 Wed Oct 13 02:10:02 2021 Wed Oct 13 02:10:02 2021 commencing relation filtering Wed Oct 13 02:10:02 2021 setting target matrix density to 110.0 Wed Oct 13 02:10:02 2021 estimated available RAM is 515600.8 MB Wed Oct 13 02:10:02 2021 commencing duplicate removal, pass 1 Wed Oct 13 02:20:30 2021 skipped 649 relations with b > 2^32 Wed Oct 13 02:20:30 2021 skipped 90 relations with composite factors Wed Oct 13 02:20:30 2021 found 24408399 hash collisions in 118585483 relations Wed Oct 13 02:20:38 2021 added 3657723 free relations Wed Oct 13 02:20:38 2021 commencing duplicate removal, pass 2 Wed Oct 13 02:22:21 2021 found 25121840 duplicates and 97121366 unique relations Wed Oct 13 02:22:21 2021 memory use: 660.8 MB Wed Oct 13 02:22:21 2021 reading ideals above 720000 Wed Oct 13 02:22:21 2021 commencing singleton removal, initial pass Wed Oct 13 02:31:09 2021 memory use: 2756.0 MB Wed Oct 13 02:31:09 2021 reading all ideals from disk Wed Oct 13 02:31:10 2021 memory use: 3767.6 MB Wed Oct 13 02:31:13 2021 keeping 89401344 ideals with weight <= 200, target excess is 523972 Wed Oct 13 02:31:17 2021 commencing in-memory singleton removal Wed Oct 13 02:31:20 2021 begin with 97121366 relations and 89401344 unique ideals Wed Oct 13 02:31:47 2021 reduce to 64920245 relations and 54026050 ideals in 12 passes Wed Oct 13 02:31:47 2021 max relations containing the same ideal: 162 Wed Oct 13 02:32:02 2021 removing 8665909 relations and 6665909 ideals in 2000000 cliques Wed Oct 13 02:32:03 2021 commencing in-memory singleton removal Wed Oct 13 02:32:05 2021 begin with 56254336 relations and 54026050 unique ideals Wed Oct 13 02:32:19 2021 reduce to 55237332 relations and 46303106 ideals in 8 passes Wed Oct 13 02:32:19 2021 max relations containing the same ideal: 146 Wed Oct 13 02:32:32 2021 removing 6991811 relations and 4991811 ideals in 2000000 cliques Wed Oct 13 02:32:34 2021 commencing in-memory singleton removal Wed Oct 13 02:32:35 2021 begin with 48245521 relations and 46303106 unique ideals Wed Oct 13 02:32:46 2021 reduce to 47476473 relations and 40513960 ideals in 7 passes Wed Oct 13 02:32:46 2021 max relations containing the same ideal: 130 Wed Oct 13 02:32:57 2021 removing 6583785 relations and 4583785 ideals in 2000000 cliques Wed Oct 13 02:32:59 2021 commencing in-memory singleton removal Wed Oct 13 02:33:00 2021 begin with 40892688 relations and 40513960 unique ideals Wed Oct 13 02:33:10 2021 reduce to 40124227 relations and 35130788 ideals in 8 passes Wed Oct 13 02:33:10 2021 max relations containing the same ideal: 118 Wed Oct 13 02:33:20 2021 removing 6440800 relations and 4440800 ideals in 2000000 cliques Wed Oct 13 02:33:21 2021 commencing in-memory singleton removal Wed Oct 13 02:33:22 2021 begin with 33683427 relations and 35130788 unique ideals Wed Oct 13 02:33:30 2021 reduce to 32831874 relations and 29799130 ideals in 8 passes Wed Oct 13 02:33:30 2021 max relations containing the same ideal: 104 Wed Oct 13 02:33:39 2021 removing 6429851 relations and 4429851 ideals in 2000000 cliques Wed Oct 13 02:33:40 2021 commencing in-memory singleton removal Wed Oct 13 02:33:41 2021 begin with 26402023 relations and 29799130 unique ideals Wed Oct 13 02:33:48 2021 reduce to 25371076 relations and 24280548 ideals in 9 passes Wed Oct 13 02:33:48 2021 max relations containing the same ideal: 86 Wed Oct 13 02:33:54 2021 removing 2202881 relations and 1720161 ideals in 482720 cliques Wed Oct 13 02:33:55 2021 commencing in-memory singleton removal Wed Oct 13 02:33:56 2021 begin with 23168195 relations and 24280548 unique ideals Wed Oct 13 02:34:01 2021 reduce to 23019317 relations and 22408817 ideals in 7 passes Wed Oct 13 02:34:01 2021 max relations containing the same ideal: 81 Wed Oct 13 02:34:09 2021 relations with 0 large ideals: 40310 Wed Oct 13 02:34:10 2021 relations with 1 large ideals: 5918 Wed Oct 13 02:34:10 2021 relations with 2 large ideals: 67686 Wed Oct 13 02:34:10 2021 relations with 3 large ideals: 472016 Wed Oct 13 02:34:10 2021 relations with 4 large ideals: 1872540 Wed Oct 13 02:34:10 2021 relations with 5 large ideals: 5193863 Wed Oct 13 02:34:10 2021 relations with 6 large ideals: 6029748 Wed Oct 13 02:34:10 2021 relations with 7+ large ideals: 9337236 Wed Oct 13 02:34:10 2021 commencing 2-way merge Wed Oct 13 02:34:17 2021 reduce to 15133022 relation sets and 14522522 unique ideals Wed Oct 13 02:34:17 2021 commencing full merge Wed Oct 13 02:37:54 2021 memory use: 1853.7 MB Wed Oct 13 02:37:55 2021 found 6814829 cycles, need 6794722 Wed Oct 13 02:37:57 2021 weight of 6794722 cycles is about 747778142 (110.05/cycle) Wed Oct 13 02:37:57 2021 distribution of cycle lengths: Wed Oct 13 02:37:57 2021 1 relations: 396134 Wed Oct 13 02:37:57 2021 2 relations: 457331 Wed Oct 13 02:37:57 2021 3 relations: 488084 Wed Oct 13 02:37:57 2021 4 relations: 494204 Wed Oct 13 02:37:57 2021 5 relations: 489660 Wed Oct 13 02:37:57 2021 6 relations: 480245 Wed Oct 13 02:37:57 2021 7 relations: 463182 Wed Oct 13 02:37:57 2021 8 relations: 438902 Wed Oct 13 02:37:57 2021 9 relations: 411358 Wed Oct 13 02:37:57 2021 10+ relations: 2675622 Wed Oct 13 02:37:57 2021 heaviest cycle: 28 relations Wed Oct 13 02:37:58 2021 commencing cycle optimization Wed Oct 13 02:38:06 2021 start with 59723212 relations Wed Oct 13 02:39:32 2021 pruned 2764235 relations Wed Oct 13 02:39:32 2021 memory use: 1561.8 MB Wed Oct 13 02:39:33 2021 distribution of cycle lengths: Wed Oct 13 02:39:33 2021 1 relations: 396134 Wed Oct 13 02:39:33 2021 2 relations: 466686 Wed Oct 13 02:39:33 2021 3 relations: 508093 Wed Oct 13 02:39:33 2021 4 relations: 515005 Wed Oct 13 02:39:33 2021 5 relations: 514994 Wed Oct 13 02:39:33 2021 6 relations: 502746 Wed Oct 13 02:39:33 2021 7 relations: 488026 Wed Oct 13 02:39:33 2021 8 relations: 459301 Wed Oct 13 02:39:33 2021 9 relations: 429841 Wed Oct 13 02:39:33 2021 10+ relations: 2513896 Wed Oct 13 02:39:33 2021 heaviest cycle: 28 relations Wed Oct 13 02:39:38 2021 RelProcTime: 1776 Wed Oct 13 02:39:39 2021 Wed Oct 13 02:39:39 2021 commencing linear algebra Wed Oct 13 02:39:39 2021 using VBITS=384 Wed Oct 13 02:39:39 2021 read 6794722 cycles Wed Oct 13 02:39:48 2021 cycles contain 22636017 unique relations Wed Oct 13 02:42:10 2021 read 22636017 relations Wed Oct 13 02:42:36 2021 using 20 quadratic characters above 4294917295 Wed Oct 13 02:43:37 2021 building initial matrix Wed Oct 13 02:46:13 2021 memory use: 2856.0 MB Wed Oct 13 02:46:14 2021 read 6794722 cycles Wed Oct 13 02:46:15 2021 matrix is 6794545 x 6794722 (2965.3 MB) with weight 849856847 (125.08/col) Wed Oct 13 02:46:15 2021 sparse part has weight 702587651 (103.40/col) Wed Oct 13 02:46:57 2021 filtering completed in 2 passes Wed Oct 13 02:46:58 2021 matrix is 6794344 x 6794490 (2965.3 MB) with weight 849849664 (125.08/col) Wed Oct 13 02:46:58 2021 sparse part has weight 702585349 (103.41/col) Wed Oct 13 02:47:07 2021 matrix starts at (0, 0) Wed Oct 13 02:47:08 2021 matrix is 6794344 x 6794490 (2965.3 MB) with weight 849849664 (125.08/col) Wed Oct 13 02:47:08 2021 sparse part has weight 702585349 (103.41/col) Wed Oct 13 02:47:08 2021 saving the first 368 matrix rows for later Wed Oct 13 02:47:09 2021 matrix includes 384 packed rows Wed Oct 13 02:47:12 2021 matrix is 6793976 x 6794490 (2758.8 MB) with weight 619959125 (91.24/col) Wed Oct 13 02:47:12 2021 sparse part has weight 587312966 (86.44/col) Wed Oct 13 02:47:12 2021 using GPU 1 (Tesla V100-PCIE-32GB) Wed Oct 13 02:47:12 2021 selected card has CUDA arch 7.0 Wed Oct 13 02:47:34 2021 commencing Lanczos iteration Wed Oct 13 02:47:34 2021 memory use: 7020.9 MB Wed Oct 13 02:47:37 2021 linear algebra at 0.0%, ETA 1h38m Wed Oct 13 02:47:39 2021 checkpointing every 3800000 dimensions Wed Oct 13 03:54:41 2021 Wed Oct 13 03:54:41 2021 Wed Oct 13 03:54:41 2021 Msieve v. 1.54 (SVN unknown) Wed Oct 13 03:54:41 2021 random seeds: 5b403633 07407083 Wed Oct 13 03:54:41 2021 factoring 51187248480875632885122046173993596026025490924689810872203425153229595839071747113861405067219845895527291145193918285628090921039309692681390376122034826571319901877893191104322492759049812658866450271 (203 digits) Wed Oct 13 03:54:41 2021 no P-1/P+1/ECM available, skipping Wed Oct 13 03:54:41 2021 commencing number field sieve (203-digit input) Wed Oct 13 03:54:41 2021 R0: 12288381826278378235712063697684697601746915312568569241 Wed Oct 13 03:54:41 2021 R1: -1 Wed Oct 13 03:54:41 2021 A0: 1 Wed Oct 13 03:54:41 2021 A1: 1 Wed Oct 13 03:54:41 2021 A2: 1 Wed Oct 13 03:54:41 2021 A3: 1 Wed Oct 13 03:54:41 2021 A4: 1 Wed Oct 13 03:54:41 2021 skew 1.00, size 1.885e-22, alpha 1.694, combined = 2.167e-13 rroots = 0 Wed Oct 13 03:54:41 2021 Wed Oct 13 03:54:41 2021 commencing linear algebra Wed Oct 13 03:54:41 2021 using VBITS=384 Wed Oct 13 03:54:45 2021 matrix starts at (0, 0) Wed Oct 13 03:54:45 2021 matrix is 6794344 x 6794490 (2965.3 MB) with weight 849849664 (125.08/col) Wed Oct 13 03:54:45 2021 sparse part has weight 702585349 (103.41/col) Wed Oct 13 03:54:45 2021 saving the first 368 matrix rows for later Wed Oct 13 03:54:47 2021 matrix includes 384 packed rows Wed Oct 13 03:54:49 2021 matrix is 6793976 x 6794490 (2758.8 MB) with weight 619959125 (91.24/col) Wed Oct 13 03:54:49 2021 sparse part has weight 587312966 (86.44/col) Wed Oct 13 03:54:49 2021 using GPU 1 (Tesla V100-PCIE-32GB) Wed Oct 13 03:54:49 2021 selected card has CUDA arch 7.0 Wed Oct 13 03:55:12 2021 commencing Lanczos iteration Wed Oct 13 03:55:12 2021 memory use: 7020.9 MB Wed Oct 13 03:55:15 2021 restarting at iteration 9916 (dim = 3800197) Wed Oct 13 03:55:17 2021 linear algebra at 56.0%, ETA 0h43m Wed Oct 13 03:55:18 2021 checkpointing every 4600000 dimensions Wed Oct 13 04:39:31 2021 lanczos halted after 17729 iterations (dim = 6793973) Wed Oct 13 04:40:02 2021 recovered 36 nontrivial dependencies Wed Oct 13 04:40:02 2021 BLanczosTime: 2721 Wed Oct 13 04:40:02 2021 Wed Oct 13 04:40:02 2021 commencing square root phase Wed Oct 13 04:40:02 2021 reading relations for dependency 1 Wed Oct 13 04:40:03 2021 read 3397028 cycles Wed Oct 13 04:40:07 2021 cycles contain 11319624 unique relations Wed Oct 13 04:41:57 2021 read 11319624 relations Wed Oct 13 04:42:27 2021 multiplying 11319624 relations Wed Oct 13 04:44:44 2021 multiply complete, coefficients have about 294.38 million bits Wed Oct 13 04:44:44 2021 initial square root is modulo 191563 Wed Oct 13 04:47:45 2021 GCD is 1, no factor found Wed Oct 13 04:47:45 2021 reading relations for dependency 2 Wed Oct 13 04:47:46 2021 read 3396651 cycles Wed Oct 13 04:47:50 2021 cycles contain 11313656 unique relations Wed Oct 13 04:49:37 2021 read 11313656 relations Wed Oct 13 04:50:07 2021 multiplying 11313656 relations Wed Oct 13 04:52:24 2021 multiply complete, coefficients have about 294.24 million bits Wed Oct 13 04:52:24 2021 initial square root is modulo 190387 Wed Oct 13 04:55:25 2021 GCD is 1, no factor found Wed Oct 13 04:55:25 2021 reading relations for dependency 3 Wed Oct 13 04:55:26 2021 read 3397984 cycles Wed Oct 13 04:55:30 2021 cycles contain 11317530 unique relations Wed Oct 13 04:57:17 2021 read 11317530 relations Wed Oct 13 04:57:46 2021 multiplying 11317530 relations Wed Oct 13 05:00:03 2021 multiply complete, coefficients have about 294.34 million bits Wed Oct 13 05:00:04 2021 initial square root is modulo 191173 Wed Oct 13 05:03:05 2021 sqrtTime: 1383 Wed Oct 13 05:03:05 2021 p72 factor: 207567424355818059426809175520655577217225511719567489902959493913948681 Wed Oct 13 05:03:05 2021 p132 factor: 246605403712718315046862905918727511574505695169086365958771322619943164419525259863078648663484865665117559107656969463375560036391 Wed Oct 13 05:03:05 2021 elapsed time 01:08:24