Mon Mar 10 11:34:59 2025 Msieve v. 1.54 (SVN 03e8738) Mon Mar 10 11:34:59 2025 random seeds: f7f373be 4ac31099 Mon Mar 10 11:34:59 2025 Using 32 OpenMP threads Mon Mar 10 11:34:59 2025 factoring 471786280665044008240724801006051423702379006078484442697693497256395707812806750567384823469617943830388697258208631023733710024194106553836972272252052110777541282177913927 (174 digits) Mon Mar 10 11:35:00 2025 no P-1/P+1/ECM available, skipping Mon Mar 10 11:35:00 2025 commencing number field sieve (174-digit input) Mon Mar 10 11:35:00 2025 R0: -248500756960220156902216475616306109866601 Mon Mar 10 11:35:00 2025 R1: 1 Mon Mar 10 11:35:00 2025 A0: -13789 Mon Mar 10 11:35:00 2025 A1: 0 Mon Mar 10 11:35:00 2025 A2: 0 Mon Mar 10 11:35:00 2025 A3: 0 Mon Mar 10 11:35:00 2025 A4: 0 Mon Mar 10 11:35:00 2025 A5: 0 Mon Mar 10 11:35:00 2025 A6: 1 Mon Mar 10 11:35:00 2025 skew 1.00, size 2.571e-12, alpha -0.703, combined = 1.974e-13 rroots = 2 Mon Mar 10 11:35:00 2025 Mon Mar 10 11:35:00 2025 commencing relation filtering Mon Mar 10 11:35:00 2025 setting target matrix density to 120.0 Mon Mar 10 11:35:00 2025 estimated available RAM is 128734.6 MB Mon Mar 10 11:35:00 2025 commencing duplicate removal, pass 1 Mon Mar 10 11:37:42 2025 skipped 8 relations with b > 2^32 Mon Mar 10 11:37:42 2025 skipped 1 malformed relations Mon Mar 10 11:37:42 2025 found 5487758 hash collisions in 157248026 relations Mon Mar 10 11:37:54 2025 added 1219420 free relations Mon Mar 10 11:37:54 2025 commencing duplicate removal, pass 2 Mon Mar 10 11:38:36 2025 found 0 duplicates and 158467446 unique relations Mon Mar 10 11:38:36 2025 memory use: 522.4 MB Mon Mar 10 11:38:36 2025 reading ideals above 720000 Mon Mar 10 11:38:36 2025 commencing singleton removal, initial pass Mon Mar 10 11:45:19 2025 memory use: 3012.0 MB Mon Mar 10 11:45:19 2025 reading all ideals from disk Mon Mar 10 11:45:20 2025 memory use: 7556.4 MB Mon Mar 10 11:45:31 2025 keeping 134766686 ideals with weight <= 200, target excess is 811531 Mon Mar 10 11:45:48 2025 commencing in-memory singleton removal Mon Mar 10 11:45:51 2025 begin with 158467446 relations and 134766686 unique ideals Mon Mar 10 11:46:09 2025 reduce to 124785534 relations and 99971118 ideals in 13 passes Mon Mar 10 11:46:09 2025 max relations containing the same ideal: 181 Mon Mar 10 11:46:42 2025 removing 10132643 relations and 8132643 ideals in 2000000 cliques Mon Mar 10 11:46:46 2025 commencing in-memory singleton removal Mon Mar 10 11:46:48 2025 begin with 114652891 relations and 99971118 unique ideals Mon Mar 10 11:46:57 2025 reduce to 114013454 relations and 91185911 ideals in 8 passes Mon Mar 10 11:46:57 2025 max relations containing the same ideal: 169 Mon Mar 10 11:47:28 2025 removing 7842755 relations and 5842755 ideals in 2000000 cliques Mon Mar 10 11:47:31 2025 commencing in-memory singleton removal Mon Mar 10 11:47:33 2025 begin with 106170699 relations and 91185911 unique ideals Mon Mar 10 11:47:41 2025 reduce to 105728164 relations and 84892736 ideals in 7 passes Mon Mar 10 11:47:41 2025 max relations containing the same ideal: 162 Mon Mar 10 11:48:09 2025 removing 7190471 relations and 5190471 ideals in 2000000 cliques Mon Mar 10 11:48:13 2025 commencing in-memory singleton removal Mon Mar 10 11:48:14 2025 begin with 98537693 relations and 84892736 unique ideals Mon Mar 10 11:48:22 2025 reduce to 98141564 relations and 79299082 ideals in 7 passes Mon Mar 10 11:48:22 2025 max relations containing the same ideal: 159 Mon Mar 10 11:48:48 2025 removing 6864039 relations and 4864039 ideals in 2000000 cliques Mon Mar 10 11:48:51 2025 commencing in-memory singleton removal Mon Mar 10 11:48:53 2025 begin with 91277525 relations and 79299082 unique ideals Mon Mar 10 11:49:00 2025 reduce to 90897000 relations and 74047500 ideals in 7 passes Mon Mar 10 11:49:00 2025 max relations containing the same ideal: 146 Mon Mar 10 11:49:24 2025 removing 6675758 relations and 4675758 ideals in 2000000 cliques Mon Mar 10 11:49:27 2025 commencing in-memory singleton removal Mon Mar 10 11:49:29 2025 begin with 84221242 relations and 74047500 unique ideals Mon Mar 10 11:49:35 2025 reduce to 83839677 relations and 68982779 ideals in 7 passes Mon Mar 10 11:49:35 2025 max relations containing the same ideal: 143 Mon Mar 10 11:49:58 2025 removing 6562578 relations and 4562578 ideals in 2000000 cliques Mon Mar 10 11:50:01 2025 commencing in-memory singleton removal Mon Mar 10 11:50:02 2025 begin with 77277099 relations and 68982779 unique ideals Mon Mar 10 11:50:08 2025 reduce to 76881664 relations and 64016487 ideals in 7 passes Mon Mar 10 11:50:08 2025 max relations containing the same ideal: 132 Mon Mar 10 11:50:29 2025 removing 6500253 relations and 4500253 ideals in 2000000 cliques Mon Mar 10 11:50:32 2025 commencing in-memory singleton removal Mon Mar 10 11:50:33 2025 begin with 70381411 relations and 64016487 unique ideals Mon Mar 10 11:50:39 2025 reduce to 69964935 relations and 59090308 ideals in 8 passes Mon Mar 10 11:50:39 2025 max relations containing the same ideal: 127 Mon Mar 10 11:50:59 2025 removing 6476544 relations and 4476544 ideals in 2000000 cliques Mon Mar 10 11:51:01 2025 commencing in-memory singleton removal Mon Mar 10 11:51:02 2025 begin with 63488391 relations and 59090308 unique ideals Mon Mar 10 11:51:07 2025 reduce to 63035855 relations and 54150038 ideals in 7 passes Mon Mar 10 11:51:07 2025 max relations containing the same ideal: 116 Mon Mar 10 11:51:25 2025 removing 6490894 relations and 4490894 ideals in 2000000 cliques Mon Mar 10 11:51:27 2025 commencing in-memory singleton removal Mon Mar 10 11:51:28 2025 begin with 56544961 relations and 54150038 unique ideals Mon Mar 10 11:51:32 2025 reduce to 56041422 relations and 49141936 ideals in 8 passes Mon Mar 10 11:51:32 2025 max relations containing the same ideal: 109 Mon Mar 10 11:51:49 2025 removing 6548284 relations and 4548284 ideals in 2000000 cliques Mon Mar 10 11:51:51 2025 commencing in-memory singleton removal Mon Mar 10 11:51:52 2025 begin with 49493138 relations and 49141936 unique ideals Mon Mar 10 11:51:56 2025 reduce to 48910306 relations and 43992900 ideals in 8 passes Mon Mar 10 11:51:56 2025 max relations containing the same ideal: 96 Mon Mar 10 11:52:10 2025 removing 6647945 relations and 4647945 ideals in 2000000 cliques Mon Mar 10 11:52:13 2025 commencing in-memory singleton removal Mon Mar 10 11:52:13 2025 begin with 42262361 relations and 43992900 unique ideals Mon Mar 10 11:52:17 2025 reduce to 41561407 relations and 38619339 ideals in 8 passes Mon Mar 10 11:52:17 2025 max relations containing the same ideal: 89 Mon Mar 10 11:52:30 2025 removing 6795634 relations and 4795634 ideals in 2000000 cliques Mon Mar 10 11:52:32 2025 commencing in-memory singleton removal Mon Mar 10 11:52:32 2025 begin with 34765773 relations and 38619339 unique ideals Mon Mar 10 11:52:35 2025 reduce to 33872751 relations and 32893266 ideals in 9 passes Mon Mar 10 11:52:35 2025 max relations containing the same ideal: 77 Mon Mar 10 11:52:46 2025 removing 281632 relations and 243523 ideals in 38109 cliques Mon Mar 10 11:52:47 2025 commencing in-memory singleton removal Mon Mar 10 11:52:47 2025 begin with 33591119 relations and 32893266 unique ideals Mon Mar 10 11:52:49 2025 reduce to 33589566 relations and 32648187 ideals in 6 passes Mon Mar 10 11:52:49 2025 max relations containing the same ideal: 77 Mon Mar 10 11:52:54 2025 relations with 0 large ideals: 30378 Mon Mar 10 11:52:54 2025 relations with 1 large ideals: 13148 Mon Mar 10 11:52:54 2025 relations with 2 large ideals: 154119 Mon Mar 10 11:52:54 2025 relations with 3 large ideals: 985081 Mon Mar 10 11:52:54 2025 relations with 4 large ideals: 3402131 Mon Mar 10 11:52:54 2025 relations with 5 large ideals: 7001908 Mon Mar 10 11:52:54 2025 relations with 6 large ideals: 8991254 Mon Mar 10 11:52:54 2025 relations with 7+ large ideals: 13011547 Mon Mar 10 11:52:54 2025 commencing 2-way merge Mon Mar 10 11:53:08 2025 reduce to 21317928 relation sets and 20376549 unique ideals Mon Mar 10 11:53:08 2025 commencing full merge Mon Mar 10 12:00:34 2025 memory use: 2740.5 MB Mon Mar 10 12:00:36 2025 found 9526064 cycles, need 9498749 Mon Mar 10 12:00:38 2025 weight of 9498749 cycles is about 1139963558 (120.01/cycle) Mon Mar 10 12:00:38 2025 distribution of cycle lengths: Mon Mar 10 12:00:38 2025 1 relations: 644112 Mon Mar 10 12:00:38 2025 2 relations: 653512 Mon Mar 10 12:00:38 2025 3 relations: 668179 Mon Mar 10 12:00:38 2025 4 relations: 663499 Mon Mar 10 12:00:38 2025 5 relations: 671929 Mon Mar 10 12:00:38 2025 6 relations: 657882 Mon Mar 10 12:00:38 2025 7 relations: 646854 Mon Mar 10 12:00:38 2025 8 relations: 614689 Mon Mar 10 12:00:38 2025 9 relations: 577546 Mon Mar 10 12:00:38 2025 10+ relations: 3700547 Mon Mar 10 12:00:38 2025 heaviest cycle: 28 relations Mon Mar 10 12:00:41 2025 commencing cycle optimization Mon Mar 10 12:01:01 2025 start with 82844541 relations Mon Mar 10 12:03:44 2025 pruned 3813240 relations Mon Mar 10 12:03:44 2025 memory use: 2222.5 MB Mon Mar 10 12:03:44 2025 distribution of cycle lengths: Mon Mar 10 12:03:44 2025 1 relations: 644112 Mon Mar 10 12:03:44 2025 2 relations: 668400 Mon Mar 10 12:03:44 2025 3 relations: 694689 Mon Mar 10 12:03:44 2025 4 relations: 689978 Mon Mar 10 12:03:44 2025 5 relations: 704096 Mon Mar 10 12:03:44 2025 6 relations: 690134 Mon Mar 10 12:03:44 2025 7 relations: 681273 Mon Mar 10 12:03:44 2025 8 relations: 644345 Mon Mar 10 12:03:44 2025 9 relations: 604855 Mon Mar 10 12:03:44 2025 10+ relations: 3476867 Mon Mar 10 12:03:44 2025 heaviest cycle: 28 relations Mon Mar 10 12:03:57 2025 RelProcTime: 1737 Mon Mar 10 12:03:57 2025 elapsed time 00:28:58 Mon Mar 10 12:06:16 2025 Mon Mar 10 12:06:16 2025 Mon Mar 10 12:06:16 2025 Msieve v. 1.54 (SVN 03e8738) Mon Mar 10 12:06:16 2025 random seeds: fe6d618d 26e1632f Mon Mar 10 12:06:16 2025 factoring 471786280665044008240724801006051423702379006078484442697693497256395707812806750567384823469617943830388697258208631023733710024194106553836972272252052110777541282177913927 (174 digits) Mon Mar 10 12:06:17 2025 no P-1/P+1/ECM available, skipping Mon Mar 10 12:06:17 2025 commencing number field sieve (174-digit input) Mon Mar 10 12:06:17 2025 R0: -248500756960220156902216475616306109866601 Mon Mar 10 12:06:17 2025 R1: 1 Mon Mar 10 12:06:17 2025 A0: -13789 Mon Mar 10 12:06:17 2025 A1: 0 Mon Mar 10 12:06:17 2025 A2: 0 Mon Mar 10 12:06:17 2025 A3: 0 Mon Mar 10 12:06:17 2025 A4: 0 Mon Mar 10 12:06:17 2025 A5: 0 Mon Mar 10 12:06:17 2025 A6: 1 Mon Mar 10 12:06:17 2025 skew 1.00, size 2.571e-12, alpha -0.703, combined = 1.974e-13 rroots = 2 Mon Mar 10 12:06:17 2025 Mon Mar 10 12:06:17 2025 commencing linear algebra Mon Mar 10 12:06:17 2025 using VBITS=256 Mon Mar 10 12:06:18 2025 read 9498749 cycles Mon Mar 10 12:06:35 2025 Mon Mar 10 12:06:35 2025 Mon Mar 10 12:06:35 2025 Msieve v. 1.54 (SVN 03e8738) Mon Mar 10 12:06:35 2025 random seeds: de328867 0ccf5931 Mon Mar 10 12:06:35 2025 Using 32 OpenMP threads Mon Mar 10 12:06:35 2025 factoring 471786280665044008240724801006051423702379006078484442697693497256395707812806750567384823469617943830388697258208631023733710024194106553836972272252052110777541282177913927 (174 digits) Mon Mar 10 12:06:36 2025 no P-1/P+1/ECM available, skipping Mon Mar 10 12:06:36 2025 commencing number field sieve (174-digit input) Mon Mar 10 12:06:36 2025 R0: -248500756960220156902216475616306109866601 Mon Mar 10 12:06:36 2025 R1: 1 Mon Mar 10 12:06:36 2025 A0: -13789 Mon Mar 10 12:06:36 2025 A1: 0 Mon Mar 10 12:06:36 2025 A2: 0 Mon Mar 10 12:06:36 2025 A3: 0 Mon Mar 10 12:06:36 2025 A4: 0 Mon Mar 10 12:06:36 2025 A5: 0 Mon Mar 10 12:06:36 2025 A6: 1 Mon Mar 10 12:06:36 2025 skew 1.00, size 2.571e-12, alpha -0.703, combined = 1.974e-13 rroots = 2 Mon Mar 10 12:06:36 2025 Mon Mar 10 12:06:36 2025 commencing linear algebra Mon Mar 10 12:06:36 2025 using VBITS=256 Mon Mar 10 12:06:37 2025 read 9498749 cycles Mon Mar 10 12:06:55 2025 cycles contain 33016568 unique relations Mon Mar 10 12:07:38 2025 read 33016568 relations Mon Mar 10 12:07:44 2025 using 20 quadratic characters above 4294917295 Mon Mar 10 12:07:50 2025 building initial matrix Mon Mar 10 12:12:46 2025 Mon Mar 10 12:12:46 2025 Mon Mar 10 12:12:46 2025 Msieve v. 1.54 (SVN 03e8738) Mon Mar 10 12:12:46 2025 random seeds: 3b161ade ddb03109 Mon Mar 10 12:12:46 2025 Using 32 OpenMP threads Mon Mar 10 12:12:46 2025 factoring 471786280665044008240724801006051423702379006078484442697693497256395707812806750567384823469617943830388697258208631023733710024194106553836972272252052110777541282177913927 (174 digits) Mon Mar 10 12:12:46 2025 no P-1/P+1/ECM available, skipping Mon Mar 10 12:12:46 2025 commencing number field sieve (174-digit input) Mon Mar 10 12:12:46 2025 R0: -248500756960220156902216475616306109866601 Mon Mar 10 12:12:46 2025 R1: 1 Mon Mar 10 12:12:46 2025 A0: -13789 Mon Mar 10 12:12:46 2025 A1: 0 Mon Mar 10 12:12:46 2025 A2: 0 Mon Mar 10 12:12:46 2025 A3: 0 Mon Mar 10 12:12:46 2025 A4: 0 Mon Mar 10 12:12:46 2025 A5: 0 Mon Mar 10 12:12:46 2025 A6: 1 Mon Mar 10 12:12:46 2025 skew 1.00, size 2.571e-12, alpha -0.703, combined = 1.974e-13 rroots = 2 Mon Mar 10 12:12:46 2025 Mon Mar 10 12:12:46 2025 commencing linear algebra Mon Mar 10 12:12:46 2025 using VBITS=256 Mon Mar 10 12:12:48 2025 read 9498749 cycles Mon Mar 10 12:13:07 2025 cycles contain 33016568 unique relations Mon Mar 10 12:13:47 2025 read 33016568 relations Mon Mar 10 12:13:52 2025 using 20 quadratic characters above 4294917295 Mon Mar 10 12:13:55 2025 building initial matrix Mon Mar 10 12:20:58 2025 memory use: 4246.3 MB Mon Mar 10 12:21:03 2025 read 9498749 cycles Mon Mar 10 12:21:04 2025 matrix is 9498572 x 9498749 (4442.5 MB) with weight 1282820604 (135.05/col) Mon Mar 10 12:21:04 2025 sparse part has weight 1060093869 (111.60/col) Mon Mar 10 12:22:43 2025 filtering completed in 2 passes Mon Mar 10 12:22:45 2025 matrix is 9498262 x 9498432 (4442.5 MB) with weight 1282809345 (135.05/col) Mon Mar 10 12:22:45 2025 sparse part has weight 1060090089 (111.61/col) Mon Mar 10 12:23:12 2025 matrix starts at (0, 0) Mon Mar 10 12:23:14 2025 matrix is 9498262 x 9498432 (4442.5 MB) with weight 1282809345 (135.05/col) Mon Mar 10 12:23:14 2025 sparse part has weight 1060090089 (111.61/col) Mon Mar 10 12:23:14 2025 saving the first 240 matrix rows for later Mon Mar 10 12:23:16 2025 matrix includes 256 packed rows Mon Mar 10 12:23:20 2025 matrix is 9498022 x 9498432 (4060.6 MB) with weight 969273697 (102.05/col) Mon Mar 10 12:23:20 2025 sparse part has weight 912476192 (96.07/col) Mon Mar 10 12:23:20 2025 using GPU 0 (NVIDIA GeForce RTX 3090 Ti) Mon Mar 10 12:23:20 2025 selected card has CUDA arch 8.6 Mon Mar 10 12:24:05 2025 commencing Lanczos iteration Mon Mar 10 12:24:06 2025 memory use: 9353.1 MB Mon Mar 10 12:24:35 2025 linear algebra at 0.3%, ETA 2h24m Mon Mar 10 12:25:20 2025 checking every 60000 dimensions, checkpointing every 3840000 dimensions Mon Mar 10 14:58:19 2025 lanczos halted after 37215 iterations (dim = 9498022) Mon Mar 10 14:58:50 2025 recovered 37 nontrivial dependencies Mon Mar 10 14:58:50 2025 BLanczosTime: 9964 Mon Mar 10 14:58:50 2025 elapsed time 02:46:04 Mon Mar 10 14:59:35 2025 Mon Mar 10 14:59:35 2025 Mon Mar 10 14:59:35 2025 Msieve v. 1.54 (SVN 03e8738) Mon Mar 10 14:59:35 2025 random seeds: 7be07ce1 4aab4869 Mon Mar 10 14:59:35 2025 Using 32 OpenMP threads Mon Mar 10 14:59:35 2025 factoring 471786280665044008240724801006051423702379006078484442697693497256395707812806750567384823469617943830388697258208631023733710024194106553836972272252052110777541282177913927 (174 digits) Mon Mar 10 14:59:36 2025 no P-1/P+1/ECM available, skipping Mon Mar 10 14:59:36 2025 commencing number field sieve (174-digit input) Mon Mar 10 14:59:36 2025 R0: -248500756960220156902216475616306109866601 Mon Mar 10 14:59:36 2025 R1: 1 Mon Mar 10 14:59:36 2025 A0: -13789 Mon Mar 10 14:59:36 2025 A1: 0 Mon Mar 10 14:59:36 2025 A2: 0 Mon Mar 10 14:59:36 2025 A3: 0 Mon Mar 10 14:59:36 2025 A4: 0 Mon Mar 10 14:59:36 2025 A5: 0 Mon Mar 10 14:59:36 2025 A6: 1 Mon Mar 10 14:59:36 2025 skew 1.00, size 2.571e-12, alpha -0.703, combined = 1.974e-13 rroots = 2 Mon Mar 10 14:59:36 2025 Mon Mar 10 14:59:36 2025 commencing square root phase Mon Mar 10 14:59:36 2025 reading relations for dependency 1 Mon Mar 10 14:59:36 2025 read 4749699 cycles Mon Mar 10 14:59:43 2025 cycles contain 16512058 unique relations Mon Mar 10 15:00:01 2025 read 16512058 relations Mon Mar 10 15:00:40 2025 multiplying 16512058 relations Mon Mar 10 15:01:22 2025 multiply complete, coefficients have about 439.49 million bits Mon Mar 10 15:01:23 2025 initial square root is modulo 76887289 Mon Mar 10 15:02:57 2025 GCD is 1, no factor found Mon Mar 10 15:02:57 2025 reading relations for dependency 2 Mon Mar 10 15:02:57 2025 read 4749776 cycles Mon Mar 10 15:03:03 2025 cycles contain 16505896 unique relations Mon Mar 10 15:03:15 2025 read 16505896 relations Mon Mar 10 15:03:53 2025 multiplying 16505896 relations Mon Mar 10 15:04:36 2025 multiply complete, coefficients have about 439.31 million bits Mon Mar 10 15:04:37 2025 initial square root is modulo 76322143 Mon Mar 10 15:06:11 2025 GCD is N, no factor found Mon Mar 10 15:06:11 2025 reading relations for dependency 3 Mon Mar 10 15:06:11 2025 read 4751675 cycles Mon Mar 10 15:06:17 2025 cycles contain 16513386 unique relations Mon Mar 10 15:06:29 2025 read 16513386 relations Mon Mar 10 15:07:08 2025 multiplying 16513386 relations Mon Mar 10 15:07:51 2025 multiply complete, coefficients have about 439.51 million bits Mon Mar 10 15:07:51 2025 initial square root is modulo 76962049 Mon Mar 10 15:09:25 2025 GCD is 1, no factor found Mon Mar 10 15:09:25 2025 reading relations for dependency 4 Mon Mar 10 15:09:26 2025 read 4749875 cycles Mon Mar 10 15:09:31 2025 cycles contain 16504406 unique relations Mon Mar 10 15:09:43 2025 read 16504406 relations Mon Mar 10 15:10:22 2025 multiplying 16504406 relations Mon Mar 10 15:11:05 2025 multiply complete, coefficients have about 439.28 million bits Mon Mar 10 15:11:06 2025 initial square root is modulo 76231999 Mon Mar 10 15:12:40 2025 sqrtTime: 784 Mon Mar 10 15:12:40 2025 p83 factor: 44071382787210220129101136127946687371914039641900203602313977028770539958614611837 Mon Mar 10 15:12:40 2025 p92 factor: 10705048283666724868368911484826813023787375516405989667844688169731232599083729556061015571 Mon Mar 10 15:12:40 2025 elapsed time 00:13:05