Mon Jun 15 05:49:40 2026 Msieve v. 1.54 (SVN Unversioned directory) Mon Jun 15 05:49:40 2026 random seeds: 2cd12d35 263277d3 Mon Jun 15 05:49:40 2026 Using 2 OpenMP threads Mon Jun 15 05:49:40 2026 factoring 85454119761360807081471391008069775186096781668914080256852893348182657657508345478337598057920704912219161663300811191745231163392377773091645586383259711285404950275303833170997064015473103674523250513323259223083152251 (221 digits) Mon Jun 15 05:49:41 2026 no P-1/P+1/ECM available, skipping Mon Jun 15 05:49:41 2026 commencing number field sieve (221-digit input) Mon Jun 15 05:49:41 2026 R0: 1160668080710168061390325479219745945202 Mon Jun 15 05:49:41 2026 R1: -34068579082641061351 Mon Jun 15 05:49:41 2026 A0: -1 Mon Jun 15 05:49:41 2026 A1: 3 Mon Jun 15 05:49:41 2026 A2: 6 Mon Jun 15 05:49:41 2026 A3: -4 Mon Jun 15 05:49:41 2026 A4: -5 Mon Jun 15 05:49:41 2026 A5: 1 Mon Jun 15 05:49:41 2026 A6: 1 Mon Jun 15 05:49:41 2026 skew 1.37, size 1.554e-11, alpha 3.126, combined = 8.663e-13 rroots = 6 Mon Jun 15 05:49:41 2026 Mon Jun 15 05:49:41 2026 commencing relation filtering Mon Jun 15 05:49:41 2026 estimated available RAM is 31871.6 MB Mon Jun 15 05:49:41 2026 commencing duplicate removal, pass 1 Mon Jun 15 05:53:37 2026 error -1 reading relation 62138216 Mon Jun 15 05:55:35 2026 error -1 reading relation 90486360 Mon Jun 15 05:55:40 2026 error -1 reading relation 91625749 Mon Jun 15 05:56:17 2026 error -1 reading relation 100449948 Mon Jun 15 05:56:43 2026 error -1 reading relation 106784602 Mon Jun 15 05:58:19 2026 error -1 reading relation 130080380 Mon Jun 15 05:58:20 2026 skipped 115 malformed relations Mon Jun 15 05:58:20 2026 found 22853069 hash collisions in 130441479 relations Mon Jun 15 05:58:25 2026 added 2438358 free relations Mon Jun 15 05:58:25 2026 commencing duplicate removal, pass 2 Mon Jun 15 05:59:20 2026 found 20629990 duplicates and 112249847 unique relations Mon Jun 15 05:59:20 2026 memory use: 724.8 MB Mon Jun 15 05:59:20 2026 reading ideals above 720000 Mon Jun 15 05:59:20 2026 commencing singleton removal, initial pass Mon Jun 15 06:09:10 2026 memory use: 3012.0 MB Mon Jun 15 06:09:10 2026 reading all ideals from disk Mon Jun 15 06:09:59 2026 memory use: 5127.0 MB Mon Jun 15 06:10:26 2026 keeping 114715932 ideals with weight <= 200, target excess is 574675 Mon Jun 15 06:10:39 2026 commencing in-memory singleton removal Mon Jun 15 06:10:48 2026 begin with 112249847 relations and 114715932 unique ideals Mon Jun 15 06:11:37 2026 reduce to 54403071 relations and 48839892 ideals in 17 passes Mon Jun 15 06:11:37 2026 max relations containing the same ideal: 128 Mon Jun 15 06:12:07 2026 removing 6776322 relations and 5776322 ideals in 1000000 cliques Mon Jun 15 06:12:09 2026 commencing in-memory singleton removal Mon Jun 15 06:12:13 2026 begin with 47626749 relations and 48839892 unique ideals Mon Jun 15 06:12:35 2026 reduce to 46824532 relations and 42240930 ideals in 11 passes Mon Jun 15 06:12:35 2026 max relations containing the same ideal: 117 Mon Jun 15 06:13:00 2026 removing 5272069 relations and 4272069 ideals in 1000000 cliques Mon Jun 15 06:13:02 2026 commencing in-memory singleton removal Mon Jun 15 06:13:05 2026 begin with 41552463 relations and 42240930 unique ideals Mon Jun 15 06:13:26 2026 reduce to 41016633 relations and 37420698 ideals in 11 passes Mon Jun 15 06:13:26 2026 max relations containing the same ideal: 105 Mon Jun 15 06:13:47 2026 removing 4808951 relations and 3808951 ideals in 1000000 cliques Mon Jun 15 06:13:49 2026 commencing in-memory singleton removal Mon Jun 15 06:13:52 2026 begin with 36207682 relations and 37420698 unique ideals Mon Jun 15 06:14:05 2026 reduce to 35721780 relations and 33113982 ideals in 9 passes Mon Jun 15 06:14:05 2026 max relations containing the same ideal: 95 Mon Jun 15 06:14:24 2026 removing 4567161 relations and 3567161 ideals in 1000000 cliques Mon Jun 15 06:14:25 2026 commencing in-memory singleton removal Mon Jun 15 06:14:27 2026 begin with 31154619 relations and 33113982 unique ideals Mon Jun 15 06:14:39 2026 reduce to 30671411 relations and 29050803 ideals in 9 passes Mon Jun 15 06:14:39 2026 max relations containing the same ideal: 87 Mon Jun 15 06:14:56 2026 removing 4251292 relations and 3297308 ideals in 953984 cliques Mon Jun 15 06:14:58 2026 commencing in-memory singleton removal Mon Jun 15 06:14:59 2026 begin with 26420119 relations and 29050803 unique ideals Mon Jun 15 06:15:10 2026 reduce to 25952421 relations and 25272158 ideals in 10 passes Mon Jun 15 06:15:10 2026 max relations containing the same ideal: 78 Mon Jun 15 06:15:23 2026 removing 126715 relations and 113076 ideals in 13639 cliques Mon Jun 15 06:15:24 2026 commencing in-memory singleton removal Mon Jun 15 06:15:26 2026 begin with 25825706 relations and 25272158 unique ideals Mon Jun 15 06:15:31 2026 reduce to 25825353 relations and 25158729 ideals in 5 passes Mon Jun 15 06:15:31 2026 max relations containing the same ideal: 78 Mon Jun 15 06:15:35 2026 relations with 0 large ideals: 39891 Mon Jun 15 06:15:35 2026 relations with 1 large ideals: 8664 Mon Jun 15 06:15:35 2026 relations with 2 large ideals: 112042 Mon Jun 15 06:15:35 2026 relations with 3 large ideals: 733256 Mon Jun 15 06:15:35 2026 relations with 4 large ideals: 2588251 Mon Jun 15 06:15:35 2026 relations with 5 large ideals: 5386811 Mon Jun 15 06:15:35 2026 relations with 6 large ideals: 6906566 Mon Jun 15 06:15:35 2026 relations with 7+ large ideals: 10049872 Mon Jun 15 06:15:35 2026 commencing 2-way merge Mon Jun 15 06:15:54 2026 reduce to 15977377 relation sets and 15310753 unique ideals Mon Jun 15 06:15:54 2026 commencing full merge Mon Jun 15 06:22:35 2026 memory use: 2145.7 MB Mon Jun 15 06:22:37 2026 found 7859634 cycles, need 7796953 Mon Jun 15 06:22:39 2026 weight of 7796953 cycles is about 701798382 (90.01/cycle) Mon Jun 15 06:22:39 2026 distribution of cycle lengths: Mon Jun 15 06:22:39 2026 1 relations: 711562 Mon Jun 15 06:22:39 2026 2 relations: 757720 Mon Jun 15 06:22:39 2026 3 relations: 737750 Mon Jun 15 06:22:39 2026 4 relations: 686173 Mon Jun 15 06:22:39 2026 5 relations: 640250 Mon Jun 15 06:22:39 2026 6 relations: 584943 Mon Jun 15 06:22:39 2026 7 relations: 536668 Mon Jun 15 06:22:39 2026 8 relations: 485278 Mon Jun 15 06:22:39 2026 9 relations: 433414 Mon Jun 15 06:22:39 2026 10+ relations: 2223195 Mon Jun 15 06:22:39 2026 heaviest cycle: 28 relations Mon Jun 15 06:22:41 2026 commencing cycle optimization Mon Jun 15 06:22:58 2026 start with 56119576 relations Mon Jun 15 06:24:54 2026 pruned 1766979 relations Mon Jun 15 06:24:55 2026 memory use: 1636.5 MB Mon Jun 15 06:24:55 2026 distribution of cycle lengths: Mon Jun 15 06:24:55 2026 1 relations: 711562 Mon Jun 15 06:24:55 2026 2 relations: 771170 Mon Jun 15 06:24:55 2026 3 relations: 761950 Mon Jun 15 06:24:55 2026 4 relations: 706381 Mon Jun 15 06:24:55 2026 5 relations: 662337 Mon Jun 15 06:24:55 2026 6 relations: 601488 Mon Jun 15 06:24:55 2026 7 relations: 551013 Mon Jun 15 06:24:55 2026 8 relations: 495517 Mon Jun 15 06:24:55 2026 9 relations: 441073 Mon Jun 15 06:24:55 2026 10+ relations: 2094462 Mon Jun 15 06:24:55 2026 heaviest cycle: 28 relations Mon Jun 15 06:25:08 2026 RelProcTime: 2127 Mon Jun 15 06:25:08 2026 Mon Jun 15 06:25:08 2026 commencing linear algebra Mon Jun 15 06:25:08 2026 using VBITS=64 Mon Jun 15 06:25:09 2026 read 7796953 cycles Mon Jun 15 06:25:20 2026 cycles contain 25337062 unique relations Mon Jun 15 06:26:47 2026 read 25337062 relations Mon Jun 15 06:27:23 2026 using 20 quadratic characters above 4294917295 Mon Jun 15 06:28:16 2026 building initial matrix Mon Jun 15 06:32:01 2026 memory use: 3041.1 MB Mon Jun 15 06:32:03 2026 read 7796953 cycles Mon Jun 15 06:32:04 2026 matrix is 7796775 x 7796953 (2853.5 MB) with weight 811899542 (104.13/col) Mon Jun 15 06:32:04 2026 sparse part has weight 670050374 (85.94/col) Mon Jun 15 06:33:13 2026 filtering completed in 2 passes Mon Jun 15 06:33:15 2026 matrix is 7795116 x 7795294 (2853.3 MB) with weight 811847798 (104.15/col) Mon Jun 15 06:33:15 2026 sparse part has weight 670029528 (85.95/col) Mon Jun 15 06:33:28 2026 matrix starts at (0, 0) Mon Jun 15 06:33:29 2026 matrix is 7795116 x 7795294 (2853.3 MB) with weight 811847798 (104.15/col) Mon Jun 15 06:33:29 2026 sparse part has weight 670029528 (85.95/col) Mon Jun 15 06:33:29 2026 saving the first 48 matrix rows for later Mon Jun 15 06:33:30 2026 matrix includes 64 packed rows Mon Jun 15 06:33:31 2026 matrix is 7795068 x 7795294 (2740.3 MB) with weight 683060062 (87.62/col) Mon Jun 15 06:33:31 2026 sparse part has weight 640398331 (82.15/col) Mon Jun 15 06:33:31 2026 using GPU 0 (NVIDIA GeForce RTX 3080) Mon Jun 15 06:33:31 2026 selected card has CUDA arch 8.6 Mon Jun 15 06:35:01 2026 commencing Lanczos iteration Mon Jun 15 06:35:01 2026 memory use: 5718.5 MB Mon Jun 15 06:35:42 2026 checking every 20000 dimensions, checkpointing every 1740000 dimensions Mon Jun 15 06:36:06 2026 linear algebra at 0.4%, ETA 4h32m Mon Jun 15 11:11:17 2026 lanczos halted after 123273 iterations (dim = 7795067) Mon Jun 15 11:11:23 2026 recovered 34 nontrivial dependencies Mon Jun 15 11:11:23 2026 BLanczosTime: 17175 Mon Jun 15 11:11:23 2026 Mon Jun 15 11:11:23 2026 commencing square root phase Mon Jun 15 11:11:23 2026 handling dependencies 1 to 64 Mon Jun 15 11:11:23 2026 reading relations for dependency 1 Mon Jun 15 11:11:30 2026 read 3896752 cycles Mon Jun 15 11:11:35 2026 cycles contain 12670232 unique relations Mon Jun 15 11:13:50 2026 read 12670232 relations Mon Jun 15 11:14:40 2026 multiplying 12670232 relations Mon Jun 15 11:17:00 2026 multiply complete, coefficients have about 311.49 million bits Mon Jun 15 11:17:01 2026 initial square root is modulo 388351 Mon Jun 15 11:20:42 2026 GCD is 1, no factor found Mon Jun 15 11:20:42 2026 reading relations for dependency 2 Mon Jun 15 11:20:43 2026 read 3897233 cycles Mon Jun 15 11:20:49 2026 cycles contain 12664024 unique relations Mon Jun 15 11:21:25 2026 read 12664024 relations Mon Jun 15 11:22:14 2026 multiplying 12664024 relations Mon Jun 15 11:24:38 2026 multiply complete, coefficients have about 311.32 million bits Mon Jun 15 11:24:39 2026 initial square root is modulo 385859 Mon Jun 15 11:28:17 2026 GCD is 1, no factor found Mon Jun 15 11:28:17 2026 reading relations for dependency 3 Mon Jun 15 11:28:18 2026 read 3895057 cycles Mon Jun 15 11:28:24 2026 cycles contain 12664866 unique relations Mon Jun 15 11:28:57 2026 read 12664866 relations Mon Jun 15 11:29:41 2026 multiplying 12664866 relations Mon Jun 15 11:31:58 2026 multiply complete, coefficients have about 311.35 million bits Mon Jun 15 11:31:59 2026 initial square root is modulo 386093 Mon Jun 15 11:35:33 2026 GCD is N, no factor found Mon Jun 15 11:35:33 2026 reading relations for dependency 4 Mon Jun 15 11:35:34 2026 read 3895881 cycles Mon Jun 15 11:35:40 2026 cycles contain 12662244 unique relations Mon Jun 15 11:36:17 2026 read 12662244 relations Mon Jun 15 11:37:04 2026 multiplying 12662244 relations Mon Jun 15 11:39:27 2026 multiply complete, coefficients have about 311.29 million bits Mon Jun 15 11:39:28 2026 initial square root is modulo 385079 Mon Jun 15 11:43:05 2026 sqrtTime: 1902 Mon Jun 15 11:43:05 2026 p62 factor: 16420660836950677808424364785535276619247677981138311572833543 Mon Jun 15 11:43:05 2026 p160 factor: 5204060945529501942321743018500614389666635154918553605802208233162730826231368671999651950192550818883117745976864805980437260257188554619629284390919048402157 Mon Jun 15 11:43:05 2026 elapsed time 05:53:25