Mon Oct 24 14:30:03 2022 Mon Oct 24 14:30:03 2022 Mon Oct 24 14:30:03 2022 Msieve v. 1.54 (SVN unknown) Mon Oct 24 14:30:03 2022 random seeds: f4945a72 8b0df259 Mon Oct 24 14:30:03 2022 MPI process 0 of 1 Mon Oct 24 14:30:03 2022 Using 16 OpenMP threads Mon Oct 24 14:30:03 2022 factoring 4195620243915888279671778712345331475268709716797825786349176460911223003450368828626222652158705793360957647290504936745524043932410659915735237866241362258201645994955743683282475290187203096154867195374771993153 (214 digits) Mon Oct 24 14:30:04 2022 no P-1/P+1/ECM available, skipping Mon Oct 24 14:30:04 2022 commencing number field sieve (214-digit input) Mon Oct 24 14:30:04 2022 R0: 2025531835011938949028714972397128216429166885258397921 Mon Oct 24 14:30:04 2022 R1: -2699302794582910996440074437437656779 Mon Oct 24 14:30:04 2022 A0: 1680927 Mon Oct 24 14:30:04 2022 A1: 0 Mon Oct 24 14:30:04 2022 A2: 0 Mon Oct 24 14:30:04 2022 A3: 0 Mon Oct 24 14:30:04 2022 A4: 0 Mon Oct 24 14:30:04 2022 A5: 1 Mon Oct 24 14:30:04 2022 skew 17.58, size 4.181e-19, alpha 0.543, combined = 6.304e-15 rroots = 1 Mon Oct 24 14:30:04 2022 Mon Oct 24 14:30:04 2022 commencing relation filtering Mon Oct 24 14:30:04 2022 setting target matrix density to 110.0 Mon Oct 24 14:30:04 2022 estimated available RAM is 257650.2 MB Mon Oct 24 14:30:04 2022 commencing duplicate removal, pass 1 Mon Oct 24 14:31:59 2022 error -1 reading relation 113243225 Mon Oct 24 14:34:55 2022 error -1 reading relation 289230687 Mon Oct 24 14:36:11 2022 error -1 reading relation 367909967 Mon Oct 24 14:36:11 2022 error -1 reading relation 367909968 Mon Oct 24 14:36:11 2022 error -1 reading relation 367909969 Mon Oct 24 14:36:12 2022 error -1 reading relation 368042646 Mon Oct 24 14:36:12 2022 error -1 reading relation 368147903 Mon Oct 24 14:36:14 2022 skipped 644 relations with b > 2^32 Mon Oct 24 14:36:14 2022 skipped 796 malformed relations Mon Oct 24 14:36:14 2022 found 28581782 hash collisions in 370520814 relations Mon Oct 24 14:36:32 2022 commencing duplicate removal, pass 2 Mon Oct 24 14:38:07 2022 found 0 duplicates and 370520814 unique relations Mon Oct 24 14:38:07 2022 memory use: 1321.5 MB Mon Oct 24 14:38:07 2022 reading ideals above 720000 Mon Oct 24 14:38:07 2022 commencing singleton removal, initial pass Mon Oct 24 14:58:27 2022 memory use: 11024.0 MB Mon Oct 24 14:58:27 2022 reading all ideals from disk Mon Oct 24 14:58:46 2022 memory use: 19174.5 MB Mon Oct 24 14:59:17 2022 keeping 346993954 ideals with weight <= 200, target excess is 1996708 Mon Oct 24 14:59:54 2022 commencing in-memory singleton removal Mon Oct 24 14:59:58 2022 begin with 370520814 relations and 346993954 unique ideals Mon Oct 24 15:00:36 2022 reduce to 247802702 relations and 212658363 ideals in 15 passes Mon Oct 24 15:00:36 2022 max relations containing the same ideal: 161 Mon Oct 24 15:01:41 2022 removing 13645415 relations and 11645415 ideals in 2000000 cliques Mon Oct 24 15:01:47 2022 commencing in-memory singleton removal Mon Oct 24 15:01:50 2022 begin with 234157287 relations and 212658363 unique ideals Mon Oct 24 15:02:03 2022 reduce to 233558650 relations and 200407600 ideals in 8 passes Mon Oct 24 15:02:03 2022 max relations containing the same ideal: 157 Mon Oct 24 15:03:03 2022 removing 10339278 relations and 8339278 ideals in 2000000 cliques Mon Oct 24 15:03:09 2022 commencing in-memory singleton removal Mon Oct 24 15:03:12 2022 begin with 223219372 relations and 200407600 unique ideals Mon Oct 24 15:03:24 2022 reduce to 222838783 relations and 191684283 ideals in 7 passes Mon Oct 24 15:03:24 2022 max relations containing the same ideal: 156 Mon Oct 24 15:04:20 2022 removing 9318173 relations and 7318173 ideals in 2000000 cliques Mon Oct 24 15:04:25 2022 commencing in-memory singleton removal Mon Oct 24 15:04:29 2022 begin with 213520610 relations and 191684283 unique ideals Mon Oct 24 15:04:46 2022 reduce to 213190709 relations and 184033157 ideals in 7 passes Mon Oct 24 15:04:46 2022 max relations containing the same ideal: 148 Mon Oct 24 15:05:39 2022 removing 8769794 relations and 6769794 ideals in 2000000 cliques Mon Oct 24 15:05:46 2022 commencing in-memory singleton removal Mon Oct 24 15:05:49 2022 begin with 204420915 relations and 184033157 unique ideals Mon Oct 24 15:06:02 2022 reduce to 204114289 relations and 176953880 ideals in 7 passes Mon Oct 24 15:06:02 2022 max relations containing the same ideal: 143 Mon Oct 24 15:06:59 2022 removing 8418113 relations and 6418113 ideals in 2000000 cliques Mon Oct 24 15:07:06 2022 commencing in-memory singleton removal Mon Oct 24 15:07:08 2022 begin with 195696176 relations and 176953880 unique ideals Mon Oct 24 15:07:18 2022 reduce to 195400457 relations and 170237343 ideals in 7 passes Mon Oct 24 15:07:18 2022 max relations containing the same ideal: 139 Mon Oct 24 15:08:13 2022 removing 8184203 relations and 6184203 ideals in 2000000 cliques Mon Oct 24 15:08:18 2022 commencing in-memory singleton removal Mon Oct 24 15:08:20 2022 begin with 187216254 relations and 170237343 unique ideals Mon Oct 24 15:08:31 2022 reduce to 186923620 relations and 163757792 ideals in 7 passes Mon Oct 24 15:08:31 2022 max relations containing the same ideal: 137 Mon Oct 24 15:09:20 2022 removing 8016844 relations and 6016844 ideals in 2000000 cliques Mon Oct 24 15:09:25 2022 commencing in-memory singleton removal Mon Oct 24 15:09:27 2022 begin with 178906776 relations and 163757792 unique ideals Mon Oct 24 15:09:36 2022 reduce to 178613589 relations and 157444958 ideals in 7 passes Mon Oct 24 15:09:36 2022 max relations containing the same ideal: 134 Mon Oct 24 15:10:25 2022 removing 7904699 relations and 5904699 ideals in 2000000 cliques Mon Oct 24 15:10:30 2022 commencing in-memory singleton removal Mon Oct 24 15:10:32 2022 begin with 170708890 relations and 157444958 unique ideals Mon Oct 24 15:10:42 2022 reduce to 170413352 relations and 151241762 ideals in 7 passes Mon Oct 24 15:10:42 2022 max relations containing the same ideal: 130 Mon Oct 24 15:11:29 2022 removing 7829554 relations and 5829554 ideals in 2000000 cliques Mon Oct 24 15:11:35 2022 commencing in-memory singleton removal Mon Oct 24 15:11:36 2022 begin with 162583798 relations and 151241762 unique ideals Mon Oct 24 15:11:45 2022 reduce to 162279911 relations and 145105176 ideals in 7 passes Mon Oct 24 15:11:45 2022 max relations containing the same ideal: 126 Mon Oct 24 15:12:29 2022 removing 7787537 relations and 5787537 ideals in 2000000 cliques Mon Oct 24 15:12:34 2022 commencing in-memory singleton removal Mon Oct 24 15:12:35 2022 begin with 154492374 relations and 145105176 unique ideals Mon Oct 24 15:12:45 2022 reduce to 154175976 relations and 138997784 ideals in 7 passes Mon Oct 24 15:12:45 2022 max relations containing the same ideal: 120 Mon Oct 24 15:13:25 2022 removing 7772123 relations and 5772123 ideals in 2000000 cliques Mon Oct 24 15:13:31 2022 commencing in-memory singleton removal Mon Oct 24 15:13:33 2022 begin with 146403853 relations and 138997784 unique ideals Mon Oct 24 15:13:41 2022 reduce to 146071797 relations and 132889797 ideals in 8 passes Mon Oct 24 15:13:41 2022 max relations containing the same ideal: 115 Mon Oct 24 15:14:21 2022 removing 7779456 relations and 5779456 ideals in 2000000 cliques Mon Oct 24 15:14:26 2022 commencing in-memory singleton removal Mon Oct 24 15:14:27 2022 begin with 138292341 relations and 132889797 unique ideals Mon Oct 24 15:14:36 2022 reduce to 137942632 relations and 126756529 ideals in 8 passes Mon Oct 24 15:14:36 2022 max relations containing the same ideal: 110 Mon Oct 24 15:15:14 2022 removing 7808790 relations and 5808790 ideals in 2000000 cliques Mon Oct 24 15:15:18 2022 commencing in-memory singleton removal Mon Oct 24 15:15:19 2022 begin with 130133842 relations and 126756529 unique ideals Mon Oct 24 15:15:26 2022 reduce to 129759710 relations and 120568852 ideals in 7 passes Mon Oct 24 15:15:26 2022 max relations containing the same ideal: 107 Mon Oct 24 15:16:05 2022 removing 7864566 relations and 5864566 ideals in 2000000 cliques Mon Oct 24 15:16:09 2022 commencing in-memory singleton removal Mon Oct 24 15:16:11 2022 begin with 121895144 relations and 120568852 unique ideals Mon Oct 24 15:16:18 2022 reduce to 121487671 relations and 114291499 ideals in 8 passes Mon Oct 24 15:16:18 2022 max relations containing the same ideal: 100 Mon Oct 24 15:16:52 2022 removing 7950632 relations and 5950632 ideals in 2000000 cliques Mon Oct 24 15:16:56 2022 commencing in-memory singleton removal Mon Oct 24 15:16:57 2022 begin with 113537039 relations and 114291499 unique ideals Mon Oct 24 15:17:03 2022 reduce to 113090434 relations and 107887850 ideals in 8 passes Mon Oct 24 15:17:03 2022 max relations containing the same ideal: 95 Mon Oct 24 15:17:35 2022 removing 8065400 relations and 6065400 ideals in 2000000 cliques Mon Oct 24 15:17:38 2022 commencing in-memory singleton removal Mon Oct 24 15:17:39 2022 begin with 105025034 relations and 107887850 unique ideals Mon Oct 24 15:17:47 2022 reduce to 104525826 relations and 101315701 ideals in 9 passes Mon Oct 24 15:17:47 2022 max relations containing the same ideal: 91 Mon Oct 24 15:18:16 2022 removing 4308603 relations and 3414660 ideals in 893943 cliques Mon Oct 24 15:18:19 2022 commencing in-memory singleton removal Mon Oct 24 15:18:20 2022 begin with 100217223 relations and 101315701 unique ideals Mon Oct 24 15:18:25 2022 reduce to 100076878 relations and 97759667 ideals in 7 passes Mon Oct 24 15:18:25 2022 max relations containing the same ideal: 91 Mon Oct 24 15:19:08 2022 relations with 0 large ideals: 39954 Mon Oct 24 15:19:08 2022 relations with 1 large ideals: 21615 Mon Oct 24 15:19:08 2022 relations with 2 large ideals: 322634 Mon Oct 24 15:19:08 2022 relations with 3 large ideals: 2174424 Mon Oct 24 15:19:08 2022 relations with 4 large ideals: 8076827 Mon Oct 24 15:19:08 2022 relations with 5 large ideals: 18246401 Mon Oct 24 15:19:08 2022 relations with 6 large ideals: 26743776 Mon Oct 24 15:19:08 2022 relations with 7+ large ideals: 44451247 Mon Oct 24 15:19:08 2022 commencing 2-way merge Mon Oct 24 15:19:53 2022 reduce to 64752149 relation sets and 62434938 unique ideals Mon Oct 24 15:19:53 2022 commencing full merge Mon Oct 24 15:37:09 2022 memory use: 7631.7 MB Mon Oct 24 15:37:15 2022 found 29819891 cycles, need 29551138 Mon Oct 24 15:37:23 2022 weight of 29551138 cycles is about 3250682287 (110.00/cycle) Mon Oct 24 15:37:23 2022 distribution of cycle lengths: Mon Oct 24 15:37:23 2022 1 relations: 2588672 Mon Oct 24 15:37:23 2022 2 relations: 2376265 Mon Oct 24 15:37:23 2022 3 relations: 2420721 Mon Oct 24 15:37:23 2022 4 relations: 2394040 Mon Oct 24 15:37:23 2022 5 relations: 2370151 Mon Oct 24 15:37:23 2022 6 relations: 2255041 Mon Oct 24 15:37:23 2022 7 relations: 2163289 Mon Oct 24 15:37:23 2022 8 relations: 2014998 Mon Oct 24 15:37:23 2022 9 relations: 1838866 Mon Oct 24 15:37:23 2022 10+ relations: 9129095 Mon Oct 24 15:37:23 2022 heaviest cycle: 27 relations Mon Oct 24 15:37:29 2022 commencing cycle optimization Mon Oct 24 15:38:33 2022 start with 220229898 relations Mon Oct 24 15:44:52 2022 pruned 8465566 relations Mon Oct 24 15:44:52 2022 memory use: 6355.3 MB Mon Oct 24 15:44:52 2022 distribution of cycle lengths: Mon Oct 24 15:44:52 2022 1 relations: 2588672 Mon Oct 24 15:44:52 2022 2 relations: 2439327 Mon Oct 24 15:44:52 2022 3 relations: 2524951 Mon Oct 24 15:44:52 2022 4 relations: 2486525 Mon Oct 24 15:44:52 2022 5 relations: 2473774 Mon Oct 24 15:44:52 2022 6 relations: 2346837 Mon Oct 24 15:44:52 2022 7 relations: 2249518 Mon Oct 24 15:44:52 2022 8 relations: 2078817 Mon Oct 24 15:44:52 2022 9 relations: 1890906 Mon Oct 24 15:44:52 2022 10+ relations: 8471811 Mon Oct 24 15:44:52 2022 heaviest cycle: 27 relations Mon Oct 24 15:45:28 2022 RelProcTime: 4524 Mon Oct 24 15:45:33 2022 elapsed time 01:15:30 Mon Oct 24 16:35:26 2022 Mon Oct 24 16:35:26 2022 Mon Oct 24 16:35:26 2022 Msieve v. 1.54 (SVN unknown) Mon Oct 24 16:35:26 2022 random seeds: 63086bab 89c12712 Mon Oct 24 16:35:26 2022 MPI process 0 of 4 Mon Oct 24 16:35:26 2022 Using 16 OpenMP threads Mon Oct 24 16:35:26 2022 factoring 4195620243915888279671778712345331475268709716797825786349176460911223003450368828626222652158705793360957647290504936745524043932410659915735237866241362258201645994955743683282475290187203096154867195374771993153 (214 digits) Mon Oct 24 16:35:27 2022 no P-1/P+1/ECM available, skipping Mon Oct 24 16:35:27 2022 commencing number field sieve (214-digit input) Mon Oct 24 16:35:27 2022 R0: 2025531835011938949028714972397128216429166885258397921 Mon Oct 24 16:35:27 2022 R1: -2699302794582910996440074437437656779 Mon Oct 24 16:35:27 2022 A0: 1680927 Mon Oct 24 16:35:27 2022 A1: 0 Mon Oct 24 16:35:27 2022 A2: 0 Mon Oct 24 16:35:27 2022 A3: 0 Mon Oct 24 16:35:27 2022 A4: 0 Mon Oct 24 16:35:27 2022 A5: 1 Mon Oct 24 16:35:27 2022 skew 17.58, size 4.181e-19, alpha 0.543, combined = 6.304e-15 rroots = 1 Mon Oct 24 16:35:27 2022 Mon Oct 24 16:35:27 2022 commencing linear algebra Mon Oct 24 16:35:27 2022 using VBITS=256 Mon Oct 24 16:35:27 2022 initialized process (0,0) of 2 x 2 grid Mon Oct 24 16:35:29 2022 read 29551138 cycles Mon Oct 24 16:36:12 2022 cycles contain 98779068 unique relations Mon Oct 24 16:37:46 2022 read 98779068 relations Mon Oct 24 16:38:08 2022 using 20 quadratic characters above 4294917295 Mon Oct 24 16:38:29 2022 building initial matrix Mon Oct 24 16:52:26 2022 memory use: 13070.7 MB Mon Oct 24 16:52:41 2022 read 29551138 cycles Mon Oct 24 16:52:46 2022 matrix is 29550959 x 29551138 (12930.1 MB) with weight 3745505374 (126.75/col) Mon Oct 24 16:52:46 2022 sparse part has weight 3064475281 (103.70/col) Mon Oct 24 16:56:53 2022 filtering completed in 2 passes Mon Oct 24 16:56:58 2022 matrix is 29547475 x 29547649 (12929.7 MB) with weight 3745381651 (126.76/col) Mon Oct 24 16:56:58 2022 sparse part has weight 3064432075 (103.71/col) Mon Oct 24 16:58:00 2022 matrix starts at (0, 0) Mon Oct 24 16:58:01 2022 matrix is 14773858 x 14773867 (3781.4 MB) with weight 1169250727 (79.14/col) Mon Oct 24 16:58:01 2022 sparse part has weight 828766111 (56.10/col) Mon Oct 24 16:58:01 2022 saving the first 240 matrix rows for later Mon Oct 24 16:58:03 2022 matrix includes 256 packed rows Mon Oct 24 16:58:07 2022 matrix is 14773618 x 14773867 (3384.0 MB) with weight 704065567 (47.66/col) Mon Oct 24 16:58:07 2022 sparse part has weight 650722290 (44.05/col) Mon Oct 24 16:58:07 2022 using GPU 0 (NVIDIA A100-SXM4-40GB) Mon Oct 24 16:58:07 2022 selected card has CUDA arch 8.0 Mon Oct 24 16:58:37 2022 commencing Lanczos iteration Mon Oct 24 16:58:37 2022 memory use: 7782.5 MB Mon Oct 24 16:58:54 2022 linear algebra at 0.1%, ETA 4h17m Mon Oct 24 16:59:18 2022 checking every 110000 dimensions, checkpointing every 7040000 dimensions Mon Oct 24 21:12:56 2022 lanczos halted after 115768 iterations (dim = 29547233) Mon Oct 24 21:14:32 2022 recovered 35 nontrivial dependencies Mon Oct 24 21:14:32 2022 BLanczosTime: 16745 Mon Oct 24 21:14:32 2022 elapsed time 04:39:06 Mon Oct 24 23:17:00 2022 Mon Oct 24 23:17:00 2022 Mon Oct 24 23:17:00 2022 Msieve v. 1.54 (SVN unknown) Mon Oct 24 23:17:00 2022 random seeds: 068f6c05 bff9068e Mon Oct 24 23:17:00 2022 MPI process 0 of 1 Mon Oct 24 23:17:00 2022 Using 16 OpenMP threads Mon Oct 24 23:17:00 2022 factoring 4195620243915888279671778712345331475268709716797825786349176460911223003450368828626222652158705793360957647290504936745524043932410659915735237866241362258201645994955743683282475290187203096154867195374771993153 (214 digits) Mon Oct 24 23:17:01 2022 no P-1/P+1/ECM available, skipping Mon Oct 24 23:17:01 2022 commencing number field sieve (214-digit input) Mon Oct 24 23:17:01 2022 R0: 2025531835011938949028714972397128216429166885258397921 Mon Oct 24 23:17:01 2022 R1: -2699302794582910996440074437437656779 Mon Oct 24 23:17:01 2022 A0: 1680927 Mon Oct 24 23:17:01 2022 A1: 0 Mon Oct 24 23:17:01 2022 A2: 0 Mon Oct 24 23:17:01 2022 A3: 0 Mon Oct 24 23:17:01 2022 A4: 0 Mon Oct 24 23:17:01 2022 A5: 1 Mon Oct 24 23:17:01 2022 skew 17.58, size 4.181e-19, alpha 0.543, combined = 6.304e-15 rroots = 1 Mon Oct 24 23:17:01 2022 Mon Oct 24 23:17:01 2022 commencing square root phase Mon Oct 24 23:17:01 2022 reading relations for dependency 1 Mon Oct 24 23:17:05 2022 read 14768859 cycles Mon Oct 24 23:17:29 2022 cycles contain 49378448 unique relations Mon Oct 24 23:18:44 2022 read 49378448 relations Mon Oct 24 23:21:56 2022 multiplying 49378448 relations Mon Oct 24 23:25:48 2022 multiply complete, coefficients have about 1465.02 million bits Mon Oct 24 23:25:52 2022 initial square root is modulo 3729751 Mon Oct 24 23:35:05 2022 GCD is N, no factor found Mon Oct 24 23:35:05 2022 reading relations for dependency 2 Mon Oct 24 23:35:08 2022 read 14775426 cycles Mon Oct 24 23:35:32 2022 cycles contain 49390288 unique relations Mon Oct 24 23:36:48 2022 read 49390288 relations Mon Oct 24 23:39:57 2022 multiplying 49390288 relations Mon Oct 24 23:43:47 2022 multiply complete, coefficients have about 1465.39 million bits Mon Oct 24 23:43:51 2022 initial square root is modulo 3744001 Mon Oct 24 23:53:06 2022 sqrtTime: 2165 Mon Oct 24 23:53:06 2022 p76 factor: 5380949105120158752718850456027246570873317763130175929428289692318672422637 Mon Oct 24 23:53:06 2022 p138 factor: 779717511158693331677201165274991111094527528322968806415853172284233958643776611183017017444444640542169739078599440325082895484108677669 Mon Oct 24 23:53:06 2022 elapsed time 00:36:06