Sun Dec 12 22:39:14 2021 Sun Dec 12 22:39:14 2021 Sun Dec 12 22:39:14 2021 Msieve v. 1.54 (SVN unknown) Sun Dec 12 22:39:14 2021 random seeds: 2fd0a941 4fba1300 Sun Dec 12 22:39:14 2021 factoring 186508503490343035139535546998400968682785911868970926517562532965370346901786419879769215819713284614871019362943182998792642967364298499358762565163737910824951670103141270172411042281637121249561813 (201 digits) Sun Dec 12 22:39:14 2021 no P-1/P+1/ECM available, skipping Sun Dec 12 22:39:14 2021 commencing number field sieve (201-digit input) Sun Dec 12 22:39:15 2021 R0: 13711444696609086967871079064164222091070014490 Sun Dec 12 22:39:15 2021 R1: -117095878222117993421317 Sun Dec 12 22:39:15 2021 A0: 1 Sun Dec 12 22:39:15 2021 A1: 3 Sun Dec 12 22:39:15 2021 A2: -3 Sun Dec 12 22:39:15 2021 A3: -4 Sun Dec 12 22:39:15 2021 A4: 1 Sun Dec 12 22:39:15 2021 A5: 1 Sun Dec 12 22:39:15 2021 skew 1.00, size 1.063e-15, alpha 2.379, combined = 9.772e-13 rroots = 5 Sun Dec 12 22:39:15 2021 Sun Dec 12 22:39:15 2021 commencing relation filtering Sun Dec 12 22:39:15 2021 setting target matrix density to 100.0 Sun Dec 12 22:39:15 2021 estimated available RAM is 515600.8 MB Sun Dec 12 22:39:15 2021 commencing duplicate removal, pass 1 Sun Dec 12 22:40:39 2021 error -15 reading relation 18250607 Sun Dec 12 22:40:57 2021 error -9 reading relation 22096168 Sun Dec 12 22:42:15 2021 error -9 reading relation 38988559 Sun Dec 12 22:42:23 2021 error -9 reading relation 40819619 Sun Dec 12 22:42:27 2021 error -9 reading relation 41686491 Sun Dec 12 22:42:44 2021 error -15 reading relation 45315731 Sun Dec 12 22:43:10 2021 error -9 reading relation 50841836 Sun Dec 12 22:43:16 2021 error -15 reading relation 52329519 Sun Dec 12 22:43:25 2021 error -9 reading relation 54083205 Sun Dec 12 22:43:41 2021 error -9 reading relation 57673147 Sun Dec 12 22:43:46 2021 error -9 reading relation 58752181 Sun Dec 12 22:44:16 2021 error -15 reading relation 65169503 Sun Dec 12 22:44:16 2021 error -15 reading relation 65271236 Sun Dec 12 22:44:30 2021 error -9 reading relation 68183109 Sun Dec 12 22:44:38 2021 error -9 reading relation 69927991 Sun Dec 12 22:44:44 2021 error -9 reading relation 71276845 Sun Dec 12 22:44:57 2021 error -9 reading relation 73874380 Sun Dec 12 22:46:28 2021 skipped 37 relations with b > 2^32 Sun Dec 12 22:46:28 2021 skipped 13 relations with composite factors Sun Dec 12 22:46:28 2021 found 3846576 hash collisions in 93485824 relations Sun Dec 12 22:46:32 2021 added 2926300 free relations Sun Dec 12 22:46:32 2021 commencing duplicate removal, pass 2 Sun Dec 12 22:46:49 2021 found 0 duplicates and 96412124 unique relations Sun Dec 12 22:46:49 2021 memory use: 261.2 MB Sun Dec 12 22:46:49 2021 reading ideals above 720000 Sun Dec 12 22:46:49 2021 commencing singleton removal, initial pass Sun Dec 12 22:54:25 2021 memory use: 2756.0 MB Sun Dec 12 22:54:25 2021 reading all ideals from disk Sun Dec 12 22:54:25 2021 memory use: 3654.0 MB Sun Dec 12 22:54:28 2021 keeping 90310106 ideals with weight <= 200, target excess is 473803 Sun Dec 12 22:54:33 2021 commencing in-memory singleton removal Sun Dec 12 22:54:35 2021 begin with 96412124 relations and 90310106 unique ideals Sun Dec 12 22:55:08 2021 reduce to 62407937 relations and 52775149 ideals in 15 passes Sun Dec 12 22:55:08 2021 max relations containing the same ideal: 157 Sun Dec 12 22:55:21 2021 removing 5557156 relations and 4557156 ideals in 1000000 cliques Sun Dec 12 22:55:23 2021 commencing in-memory singleton removal Sun Dec 12 22:55:24 2021 begin with 56850781 relations and 52775149 unique ideals Sun Dec 12 22:55:39 2021 reduce to 56410385 relations and 47768148 ideals in 8 passes Sun Dec 12 22:55:39 2021 max relations containing the same ideal: 149 Sun Dec 12 22:55:51 2021 removing 4311649 relations and 3311649 ideals in 1000000 cliques Sun Dec 12 22:55:53 2021 commencing in-memory singleton removal Sun Dec 12 22:55:54 2021 begin with 52098736 relations and 47768148 unique ideals Sun Dec 12 22:56:07 2021 reduce to 51800759 relations and 44152931 ideals in 8 passes Sun Dec 12 22:56:07 2021 max relations containing the same ideal: 141 Sun Dec 12 22:56:19 2021 removing 3956088 relations and 2956088 ideals in 1000000 cliques Sun Dec 12 22:56:20 2021 commencing in-memory singleton removal Sun Dec 12 22:56:22 2021 begin with 47844671 relations and 44152931 unique ideals Sun Dec 12 22:56:34 2021 reduce to 47575624 relations and 40922649 ideals in 8 passes Sun Dec 12 22:56:34 2021 max relations containing the same ideal: 132 Sun Dec 12 22:56:44 2021 removing 3786583 relations and 2786583 ideals in 1000000 cliques Sun Dec 12 22:56:46 2021 commencing in-memory singleton removal Sun Dec 12 22:56:47 2021 begin with 43789041 relations and 40922649 unique ideals Sun Dec 12 22:56:58 2021 reduce to 43524660 relations and 37866510 ideals in 8 passes Sun Dec 12 22:56:58 2021 max relations containing the same ideal: 125 Sun Dec 12 22:57:08 2021 removing 3693320 relations and 2693320 ideals in 1000000 cliques Sun Dec 12 22:57:09 2021 commencing in-memory singleton removal Sun Dec 12 22:57:10 2021 begin with 39831340 relations and 37866510 unique ideals Sun Dec 12 22:57:18 2021 reduce to 39562196 relations and 34898371 ideals in 7 passes Sun Dec 12 22:57:18 2021 max relations containing the same ideal: 117 Sun Dec 12 22:57:28 2021 removing 3645055 relations and 2645055 ideals in 1000000 cliques Sun Dec 12 22:57:29 2021 commencing in-memory singleton removal Sun Dec 12 22:57:30 2021 begin with 35917141 relations and 34898371 unique ideals Sun Dec 12 22:57:37 2021 reduce to 35632167 relations and 31961878 ideals in 7 passes Sun Dec 12 22:57:37 2021 max relations containing the same ideal: 108 Sun Dec 12 22:57:46 2021 removing 3630785 relations and 2630785 ideals in 1000000 cliques Sun Dec 12 22:57:47 2021 commencing in-memory singleton removal Sun Dec 12 22:57:48 2021 begin with 32001382 relations and 31961878 unique ideals Sun Dec 12 22:57:56 2021 reduce to 31690739 relations and 29012768 ideals in 8 passes Sun Dec 12 22:57:56 2021 max relations containing the same ideal: 98 Sun Dec 12 22:58:03 2021 removing 3639469 relations and 2639469 ideals in 1000000 cliques Sun Dec 12 22:58:04 2021 commencing in-memory singleton removal Sun Dec 12 22:58:05 2021 begin with 28051270 relations and 29012768 unique ideals Sun Dec 12 22:58:12 2021 reduce to 27700858 relations and 26013079 ideals in 8 passes Sun Dec 12 22:58:12 2021 max relations containing the same ideal: 93 Sun Dec 12 22:58:19 2021 removing 3674669 relations and 2674669 ideals in 1000000 cliques Sun Dec 12 22:58:19 2021 commencing in-memory singleton removal Sun Dec 12 22:58:20 2021 begin with 24026189 relations and 26013079 unique ideals Sun Dec 12 22:58:26 2021 reduce to 23617728 relations and 22916813 ideals in 8 passes Sun Dec 12 22:58:26 2021 max relations containing the same ideal: 81 Sun Dec 12 22:58:32 2021 removing 833870 relations and 682567 ideals in 151303 cliques Sun Dec 12 22:58:32 2021 commencing in-memory singleton removal Sun Dec 12 22:58:33 2021 begin with 22783858 relations and 22916813 unique ideals Sun Dec 12 22:58:37 2021 reduce to 22762071 relations and 22212308 ideals in 6 passes Sun Dec 12 22:58:37 2021 max relations containing the same ideal: 77 Sun Dec 12 22:58:45 2021 relations with 0 large ideals: 38388 Sun Dec 12 22:58:45 2021 relations with 1 large ideals: 6312 Sun Dec 12 22:58:45 2021 relations with 2 large ideals: 76210 Sun Dec 12 22:58:45 2021 relations with 3 large ideals: 522376 Sun Dec 12 22:58:45 2021 relations with 4 large ideals: 1951577 Sun Dec 12 22:58:45 2021 relations with 5 large ideals: 4349139 Sun Dec 12 22:58:45 2021 relations with 6 large ideals: 6822029 Sun Dec 12 22:58:45 2021 relations with 7+ large ideals: 8996040 Sun Dec 12 22:58:45 2021 commencing 2-way merge Sun Dec 12 22:58:53 2021 reduce to 14824184 relation sets and 14274421 unique ideals Sun Dec 12 22:58:53 2021 commencing full merge Sun Dec 12 23:02:23 2021 memory use: 1923.2 MB Sun Dec 12 23:02:24 2021 found 6906099 cycles, need 6864621 Sun Dec 12 23:02:25 2021 weight of 6864621 cycles is about 686847823 (100.06/cycle) Sun Dec 12 23:02:25 2021 distribution of cycle lengths: Sun Dec 12 23:02:25 2021 1 relations: 529053 Sun Dec 12 23:02:25 2021 2 relations: 552052 Sun Dec 12 23:02:25 2021 3 relations: 552920 Sun Dec 12 23:02:25 2021 4 relations: 530660 Sun Dec 12 23:02:25 2021 5 relations: 515255 Sun Dec 12 23:02:25 2021 6 relations: 495781 Sun Dec 12 23:02:25 2021 7 relations: 468122 Sun Dec 12 23:02:25 2021 8 relations: 439553 Sun Dec 12 23:02:25 2021 9 relations: 405422 Sun Dec 12 23:02:25 2021 10+ relations: 2375803 Sun Dec 12 23:02:25 2021 heaviest cycle: 28 relations Sun Dec 12 23:02:27 2021 commencing cycle optimization Sun Dec 12 23:02:34 2021 start with 55110203 relations Sun Dec 12 23:03:48 2021 pruned 2244939 relations Sun Dec 12 23:03:48 2021 memory use: 1504.3 MB Sun Dec 12 23:03:48 2021 distribution of cycle lengths: Sun Dec 12 23:03:48 2021 1 relations: 529053 Sun Dec 12 23:03:48 2021 2 relations: 562583 Sun Dec 12 23:03:48 2021 3 relations: 573117 Sun Dec 12 23:03:48 2021 4 relations: 549919 Sun Dec 12 23:03:48 2021 5 relations: 538059 Sun Dec 12 23:03:48 2021 6 relations: 515817 Sun Dec 12 23:03:48 2021 7 relations: 488766 Sun Dec 12 23:03:48 2021 8 relations: 456139 Sun Dec 12 23:03:48 2021 9 relations: 420850 Sun Dec 12 23:03:48 2021 10+ relations: 2230318 Sun Dec 12 23:03:48 2021 heaviest cycle: 28 relations Sun Dec 12 23:03:54 2021 RelProcTime: 1479 Sun Dec 12 23:03:54 2021 Sun Dec 12 23:03:54 2021 commencing linear algebra Sun Dec 12 23:03:54 2021 using VBITS=384 Sun Dec 12 23:03:55 2021 read 6864621 cycles Sun Dec 12 23:04:03 2021 cycles contain 22450442 unique relations Sun Dec 12 23:05:18 2021 read 22450442 relations Sun Dec 12 23:05:42 2021 using 20 quadratic characters above 4294917295 Sun Dec 12 23:06:43 2021 building initial matrix Sun Dec 12 23:09:09 2021 memory use: 2750.5 MB Sun Dec 12 23:09:11 2021 read 6864621 cycles Sun Dec 12 23:09:12 2021 matrix is 6864444 x 6864621 (2760.9 MB) with weight 788726675 (114.90/col) Sun Dec 12 23:09:12 2021 sparse part has weight 648246837 (94.43/col) Sun Dec 12 23:09:53 2021 filtering completed in 2 passes Sun Dec 12 23:09:54 2021 matrix is 6863987 x 6864135 (2760.9 MB) with weight 788710989 (114.90/col) Sun Dec 12 23:09:54 2021 sparse part has weight 648241035 (94.44/col) Sun Dec 12 23:10:03 2021 matrix starts at (0, 0) Sun Dec 12 23:10:04 2021 matrix is 6863987 x 6864135 (2760.9 MB) with weight 788710989 (114.90/col) Sun Dec 12 23:10:04 2021 sparse part has weight 648241035 (94.44/col) Sun Dec 12 23:10:04 2021 saving the first 368 matrix rows for later Sun Dec 12 23:10:05 2021 matrix includes 384 packed rows Sun Dec 12 23:10:07 2021 matrix is 6863619 x 6864135 (2587.7 MB) with weight 571300032 (83.23/col) Sun Dec 12 23:10:07 2021 sparse part has weight 541060950 (78.82/col) Sun Dec 12 23:10:08 2021 using GPU 0 (Tesla V100-PCIE-32GB) Sun Dec 12 23:10:08 2021 selected card has CUDA arch 7.0 Sun Dec 12 23:10:28 2021 commencing Lanczos iteration Sun Dec 12 23:10:28 2021 memory use: 6694.1 MB Sun Dec 12 23:10:31 2021 linear algebra at 0.0%, ETA 1h39m Sun Dec 12 23:10:33 2021 checkpointing every 3800000 dimensions Mon Dec 13 00:46:47 2021 lanczos halted after 17911 iterations (dim = 6863613) Mon Dec 13 00:47:20 2021 recovered 32 nontrivial dependencies Mon Dec 13 00:47:21 2021 BLanczosTime: 6207 Mon Dec 13 00:47:21 2021 Mon Dec 13 00:47:21 2021 commencing square root phase Mon Dec 13 00:47:21 2021 handling dependencies 1 to 64 Mon Dec 13 00:47:21 2021 reading relations for dependency 1 Mon Dec 13 00:47:21 2021 read 3430262 cycles Mon Dec 13 00:47:25 2021 cycles contain 11223006 unique relations Mon Dec 13 00:48:06 2021 read 11223006 relations Mon Dec 13 00:48:35 2021 multiplying 11223006 relations Mon Dec 13 00:51:47 2021 multiply complete, coefficients have about 277.20 million bits Mon Dec 13 00:51:48 2021 initial square root is modulo 94201 Mon Dec 13 00:55:40 2021 GCD is N, no factor found Mon Dec 13 00:55:40 2021 reading relations for dependency 2 Mon Dec 13 00:55:41 2021 read 3432827 cycles Mon Dec 13 00:55:45 2021 cycles contain 11224714 unique relations Mon Dec 13 00:56:23 2021 read 11224714 relations Mon Dec 13 00:56:51 2021 multiplying 11224714 relations Mon Dec 13 01:00:04 2021 multiply complete, coefficients have about 277.24 million bits Mon Dec 13 01:00:04 2021 initial square root is modulo 94321 Mon Dec 13 01:03:56 2021 GCD is N, no factor found Mon Dec 13 01:03:56 2021 reading relations for dependency 3 Mon Dec 13 01:04:01 2021 read 3431375 cycles Mon Dec 13 01:04:05 2021 cycles contain 11222216 unique relations Mon Dec 13 01:04:43 2021 read 11222216 relations Mon Dec 13 01:05:11 2021 multiplying 11222216 relations Mon Dec 13 01:08:23 2021 multiply complete, coefficients have about 277.17 million bits Mon Dec 13 01:08:24 2021 initial square root is modulo 94079 Mon Dec 13 01:12:17 2021 sqrtTime: 1496 Mon Dec 13 01:12:17 2021 p86 factor: 30041734511536620204870492648558337671502741589598351526269523670699930433012767700221 Mon Dec 13 01:12:17 2021 p115 factor: 6208313418744849140274344575371187809713240890235004635111839073125744401828755415603048543123460256039299928468153 Mon Dec 13 01:12:17 2021 elapsed time 02:33:03