Mon Aug 24 13:17:37 2026 Msieve v. 1.54 (SVN Unversioned directory) Mon Aug 24 13:17:37 2026 random seeds: 5a6331f8 fb5118d8 Mon Aug 24 13:17:37 2026 factoring 2185844922820873006604718768122387679908445978620801051921948168773440113081665202734440800887345598670142202028315865679804612465612847098176172209304659226631803 (163 digits) Mon Aug 24 13:17:37 2026 no P-1/P+1/ECM available, skipping Mon Aug 24 13:17:37 2026 commencing number field sieve (163-digit input) Mon Aug 24 13:17:37 2026 R0: -37962388337033978871836484417244 Mon Aug 24 13:17:37 2026 R1: 807233358935100326819 Mon Aug 24 13:17:37 2026 A0: 189650625944742500695461975585623421930 Mon Aug 24 13:17:37 2026 A1: 403589821759712062311485834788399 Mon Aug 24 13:17:37 2026 A2: -81783891988266746229165138 Mon Aug 24 13:17:37 2026 A3: -25963535673389826901 Mon Aug 24 13:17:37 2026 A4: 1053918715422 Mon Aug 24 13:17:37 2026 A5: 166320 Mon Aug 24 13:17:37 2026 skew 5265879.75, size 1.405e-15, alpha -8.189, combined = 1.449e-12 rroots = 5 Mon Aug 24 13:17:37 2026 Mon Aug 24 13:17:37 2026 commencing relation filtering Mon Aug 24 13:17:37 2026 estimated available RAM is 31871.6 MB Mon Aug 24 13:17:37 2026 commencing duplicate removal, pass 1 Mon Aug 24 13:17:41 2026 error -1 reading relation 300315 Mon Aug 24 13:17:41 2026 error -11 reading relation 300316 Mon Aug 24 13:18:20 2026 error -1 reading relation 4290645 Mon Aug 24 13:19:01 2026 error -1 reading relation 8314924 Mon Aug 24 13:19:07 2026 error -1 reading relation 8895100 Mon Aug 24 13:19:08 2026 error -1 reading relation 8974731 Mon Aug 24 13:19:08 2026 error -11 reading relation 8974732 Mon Aug 24 13:19:27 2026 error -1 reading relation 10997142 Mon Aug 24 13:19:44 2026 error -1 reading relation 12586564 Mon Aug 24 13:20:01 2026 error -1 reading relation 14255949 Mon Aug 24 13:20:17 2026 error -1 reading relation 15811075 Mon Aug 24 13:20:29 2026 error -1 reading relation 16840674 Mon Aug 24 13:20:40 2026 error -1 reading relation 17805234 Mon Aug 24 13:20:53 2026 error -11 reading relation 19081779 Mon Aug 24 13:21:52 2026 error -1 reading relation 24737547 Mon Aug 24 13:22:41 2026 error -1 reading relation 29637983 Mon Aug 24 13:22:41 2026 error -1 reading relation 29637984 Mon Aug 24 13:22:51 2026 error -1 reading relation 30589309 Mon Aug 24 13:23:02 2026 error -1 reading relation 31670755 Mon Aug 24 13:23:50 2026 error -1 reading relation 36246353 Mon Aug 24 13:24:20 2026 error -1 reading relation 39136935 Mon Aug 24 13:24:50 2026 error -1 reading relation 42016544 Mon Aug 24 13:25:00 2026 error -1 reading relation 42943003 Mon Aug 24 13:25:22 2026 error -1 reading relation 44996799 Mon Aug 24 13:25:30 2026 error -1 reading relation 45694408 Mon Aug 24 13:25:42 2026 error -1 reading relation 46970664 Mon Aug 24 13:25:51 2026 error -1 reading relation 47834377 Mon Aug 24 13:26:12 2026 error -1 reading relation 50000865 Mon Aug 24 13:26:40 2026 error -1 reading relation 52714498 Mon Aug 24 13:27:29 2026 error -1 reading relation 57676347 Mon Aug 24 13:27:32 2026 error -1 reading relation 58022096 Mon Aug 24 13:27:55 2026 error -1 reading relation 60407264 Mon Aug 24 13:28:11 2026 error -1 reading relation 62167055 Mon Aug 24 13:28:16 2026 error -1 reading relation 62683958 Mon Aug 24 13:28:53 2026 error -1 reading relation 66416154 Mon Aug 24 13:29:04 2026 error -1 reading relation 67550102 Mon Aug 24 13:29:30 2026 error -1 reading relation 70239962 Mon Aug 24 13:30:11 2026 error -1 reading relation 74109988 Mon Aug 24 13:30:30 2026 error -1 reading relation 75899888 Mon Aug 24 13:30:30 2026 error -1 reading relation 75899889 Mon Aug 24 13:30:55 2026 error -11 reading relation 78311401 Mon Aug 24 13:32:43 2026 error -1 reading relation 88310698 Mon Aug 24 13:33:19 2026 error -1 reading relation 91374486 Mon Aug 24 13:33:35 2026 error -1 reading relation 92843355 Mon Aug 24 13:33:36 2026 error -1 reading relation 92914078 Mon Aug 24 13:33:40 2026 error -1 reading relation 93334867 Mon Aug 24 13:36:22 2026 error -1 reading relation 108143268 Mon Aug 24 13:36:22 2026 error -1 reading relation 108143269 Mon Aug 24 13:36:23 2026 error -1 reading relation 108208886 Mon Aug 24 13:36:27 2026 error -1 reading relation 108599920 Mon Aug 24 13:36:34 2026 error -1 reading relation 109025752 Mon Aug 24 13:36:44 2026 error -1 reading relation 109988923 Mon Aug 24 13:36:51 2026 skipped 7 malformed relations Mon Aug 24 13:36:51 2026 found 5320251 hash collisions in 110554479 relations Mon Aug 24 13:37:26 2026 added 122134 free relations Mon Aug 24 13:37:26 2026 commencing duplicate removal, pass 2 Mon Aug 24 13:40:23 2026 found 0 duplicates and 110676613 unique relations Mon Aug 24 13:40:23 2026 memory use: 394.4 MB Mon Aug 24 13:40:23 2026 reading ideals above 720000 Mon Aug 24 13:40:23 2026 commencing singleton removal, initial pass Mon Aug 24 14:06:18 2026 memory use: 3012.0 MB Mon Aug 24 14:06:19 2026 reading all ideals from disk Mon Aug 24 14:07:22 2026 memory use: 4951.4 MB Mon Aug 24 14:08:11 2026 keeping 112131802 ideals with weight <= 200, target excess is 578387 Mon Aug 24 14:08:35 2026 commencing in-memory singleton removal Mon Aug 24 14:09:00 2026 begin with 110676613 relations and 112131802 unique ideals Mon Aug 24 14:11:21 2026 reduce to 51926710 relations and 45084745 ideals in 16 passes Mon Aug 24 14:11:21 2026 max relations containing the same ideal: 123 Mon Aug 24 14:12:26 2026 removing 6614715 relations and 5614715 ideals in 1000000 cliques Mon Aug 24 14:12:30 2026 commencing in-memory singleton removal Mon Aug 24 14:12:40 2026 begin with 45311995 relations and 45084745 unique ideals Mon Aug 24 14:13:29 2026 reduce to 44695673 relations and 38838886 ideals in 9 passes Mon Aug 24 14:13:29 2026 max relations containing the same ideal: 112 Mon Aug 24 14:14:24 2026 removing 4995391 relations and 3995391 ideals in 1000000 cliques Mon Aug 24 14:14:27 2026 commencing in-memory singleton removal Mon Aug 24 14:14:35 2026 begin with 39700282 relations and 38838886 unique ideals Mon Aug 24 14:15:17 2026 reduce to 39278892 relations and 34412672 ideals in 9 passes Mon Aug 24 14:15:17 2026 max relations containing the same ideal: 106 Mon Aug 24 14:16:02 2026 removing 4498142 relations and 3498142 ideals in 1000000 cliques Mon Aug 24 14:16:05 2026 commencing in-memory singleton removal Mon Aug 24 14:16:11 2026 begin with 34780750 relations and 34412672 unique ideals Mon Aug 24 14:16:44 2026 reduce to 34393680 relations and 30518622 ideals in 8 passes Mon Aug 24 14:16:44 2026 max relations containing the same ideal: 97 Mon Aug 24 14:17:23 2026 removing 4251738 relations and 3251738 ideals in 1000000 cliques Mon Aug 24 14:17:26 2026 commencing in-memory singleton removal Mon Aug 24 14:17:31 2026 begin with 30141942 relations and 30518622 unique ideals Mon Aug 24 14:18:00 2026 reduce to 29756068 relations and 26870961 ideals in 8 passes Mon Aug 24 14:18:00 2026 max relations containing the same ideal: 87 Mon Aug 24 14:18:36 2026 removing 4098361 relations and 3098361 ideals in 1000000 cliques Mon Aug 24 14:18:38 2026 commencing in-memory singleton removal Mon Aug 24 14:18:43 2026 begin with 25657707 relations and 26870961 unique ideals Mon Aug 24 14:19:07 2026 reduce to 25252428 relations and 23355468 ideals in 9 passes Mon Aug 24 14:19:07 2026 max relations containing the same ideal: 76 Mon Aug 24 14:19:37 2026 removing 3995351 relations and 2995351 ideals in 1000000 cliques Mon Aug 24 14:19:39 2026 commencing in-memory singleton removal Mon Aug 24 14:19:43 2026 begin with 21257077 relations and 23355468 unique ideals Mon Aug 24 14:20:01 2026 reduce to 20813662 relations and 19901460 ideals in 9 passes Mon Aug 24 14:20:01 2026 max relations containing the same ideal: 67 Mon Aug 24 14:20:24 2026 removing 1288802 relations and 1047529 ideals in 241273 cliques Mon Aug 24 14:20:26 2026 commencing in-memory singleton removal Mon Aug 24 14:20:29 2026 begin with 19524860 relations and 19901460 unique ideals Mon Aug 24 14:20:44 2026 reduce to 19477678 relations and 18806270 ideals in 7 passes Mon Aug 24 14:20:44 2026 max relations containing the same ideal: 64 Mon Aug 24 14:21:10 2026 relations with 0 large ideals: 2022 Mon Aug 24 14:21:10 2026 relations with 1 large ideals: 11533 Mon Aug 24 14:21:10 2026 relations with 2 large ideals: 159173 Mon Aug 24 14:21:10 2026 relations with 3 large ideals: 927621 Mon Aug 24 14:21:10 2026 relations with 4 large ideals: 2826426 Mon Aug 24 14:21:10 2026 relations with 5 large ideals: 4983157 Mon Aug 24 14:21:10 2026 relations with 6 large ideals: 5342190 Mon Aug 24 14:21:10 2026 relations with 7+ large ideals: 5225556 Mon Aug 24 14:21:10 2026 commencing 2-way merge Mon Aug 24 14:21:41 2026 reduce to 11890078 relation sets and 11218670 unique ideals Mon Aug 24 14:21:41 2026 commencing full merge Mon Aug 24 14:29:19 2026 memory use: 1422.7 MB Mon Aug 24 14:29:21 2026 found 5995001 cycles, need 5904870 Mon Aug 24 14:29:26 2026 weight of 5904870 cycles is about 531716758 (90.05/cycle) Mon Aug 24 14:29:26 2026 distribution of cycle lengths: Mon Aug 24 14:29:26 2026 1 relations: 471864 Mon Aug 24 14:29:26 2026 2 relations: 558518 Mon Aug 24 14:29:26 2026 3 relations: 587260 Mon Aug 24 14:29:26 2026 4 relations: 563066 Mon Aug 24 14:29:26 2026 5 relations: 546438 Mon Aug 24 14:29:26 2026 6 relations: 509785 Mon Aug 24 14:29:26 2026 7 relations: 473558 Mon Aug 24 14:29:26 2026 8 relations: 426169 Mon Aug 24 14:29:26 2026 9 relations: 374870 Mon Aug 24 14:29:26 2026 10+ relations: 1393342 Mon Aug 24 14:29:26 2026 heaviest cycle: 21 relations Mon Aug 24 14:29:28 2026 commencing cycle optimization Mon Aug 24 14:29:49 2026 start with 38929741 relations Mon Aug 24 14:32:04 2026 pruned 1199574 relations Mon Aug 24 14:32:05 2026 memory use: 1199.6 MB Mon Aug 24 14:32:05 2026 distribution of cycle lengths: Mon Aug 24 14:32:05 2026 1 relations: 471864 Mon Aug 24 14:32:05 2026 2 relations: 571784 Mon Aug 24 14:32:05 2026 3 relations: 609938 Mon Aug 24 14:32:05 2026 4 relations: 581176 Mon Aug 24 14:32:05 2026 5 relations: 566045 Mon Aug 24 14:32:05 2026 6 relations: 525258 Mon Aug 24 14:32:05 2026 7 relations: 487165 Mon Aug 24 14:32:05 2026 8 relations: 434206 Mon Aug 24 14:32:05 2026 9 relations: 379558 Mon Aug 24 14:32:05 2026 10+ relations: 1277876 Mon Aug 24 14:32:05 2026 heaviest cycle: 21 relations Mon Aug 24 14:32:22 2026 RelProcTime: 4485 Mon Aug 24 14:32:24 2026 Mon Aug 24 14:32:24 2026 commencing linear algebra Mon Aug 24 14:32:24 2026 using VBITS=256 Mon Aug 24 14:32:24 2026 read 5904870 cycles Mon Aug 24 14:32:40 2026 cycles contain 19069252 unique relations Mon Aug 24 14:37:29 2026 read 19069252 relations Mon Aug 24 14:39:14 2026 using 20 quadratic characters above 4294917295 Mon Aug 24 14:41:21 2026 building initial matrix Mon Aug 24 14:47:28 2026 memory use: 2665.1 MB Mon Aug 24 14:47:46 2026 read 5904870 cycles Mon Aug 24 14:47:47 2026 matrix is 5904691 x 5904870 (2202.9 MB) with weight 685329148 (116.06/col) Mon Aug 24 14:47:47 2026 sparse part has weight 506617282 (85.80/col) Mon Aug 24 14:49:41 2026 filtering completed in 2 passes Mon Aug 24 14:49:44 2026 matrix is 5903635 x 5903812 (2202.8 MB) with weight 685283215 (116.07/col) Mon Aug 24 14:49:44 2026 sparse part has weight 506604181 (85.81/col) Mon Aug 24 14:50:05 2026 matrix starts at (0, 0) Mon Aug 24 14:50:07 2026 matrix is 5903635 x 5903812 (2202.8 MB) with weight 685283215 (116.07/col) Mon Aug 24 14:50:07 2026 sparse part has weight 506604181 (85.81/col) Mon Aug 24 14:50:07 2026 saving the first 240 matrix rows for later Mon Aug 24 14:50:08 2026 matrix includes 256 packed rows Mon Aug 24 14:50:11 2026 matrix is 5903395 x 5903812 (1994.2 MB) with weight 459174308 (77.78/col) Mon Aug 24 14:50:11 2026 sparse part has weight 428317930 (72.55/col) Mon Aug 24 14:50:12 2026 using GPU 0 (NVIDIA GeForce RTX 3080) Mon Aug 24 14:50:12 2026 selected card has CUDA arch 8.6 Mon Aug 24 14:51:23 2026 commencing Lanczos iteration Mon Aug 24 14:51:25 2026 memory use: 4889.3 MB Mon Aug 24 14:51:48 2026 linear algebra at 0.5%, ETA 1h10m Mon Aug 24 14:52:21 2026 checking every 80000 dimensions, checkpointing every 5040000 dimensions Mon Aug 24 16:02:12 2026 lanczos halted after 23131 iterations (dim = 5903393) Mon Aug 24 16:03:01 2026 recovered 27 nontrivial dependencies Mon Aug 24 16:03:01 2026 BLanczosTime: 5437 Mon Aug 24 16:03:01 2026 Mon Aug 24 16:03:01 2026 commencing square root phase Mon Aug 24 16:03:01 2026 handling dependencies 1 to 64 Mon Aug 24 16:03:01 2026 reading relations for dependency 1 Mon Aug 24 16:03:03 2026 read 2951206 cycles Mon Aug 24 16:03:11 2026 cycles contain 9529708 unique relations Mon Aug 24 16:08:27 2026 read 9529708 relations Mon Aug 24 16:11:22 2026 multiplying 9529708 relations Mon Aug 24 16:23:33 2026 multiply complete, coefficients have about 509.69 million bits Mon Aug 24 16:23:38 2026 initial square root is modulo 1397694443 Mon Aug 24 16:36:36 2026 GCD is N, no factor found Mon Aug 24 16:36:36 2026 reading relations for dependency 2 Mon Aug 24 16:36:40 2026 read 2951991 cycles Mon Aug 24 16:36:48 2026 cycles contain 9533172 unique relations Mon Aug 24 16:42:04 2026 read 9533172 relations Mon Aug 24 16:45:10 2026 multiplying 9533172 relations Mon Aug 24 16:57:45 2026 multiply complete, coefficients have about 509.87 million bits Mon Aug 24 16:57:50 2026 initial square root is modulo 1408108291 Mon Aug 24 17:10:43 2026 Newton iteration failed to converge Mon Aug 24 17:10:43 2026 algebraic square root failed Mon Aug 24 17:10:43 2026 reading relations for dependency 3 Mon Aug 24 17:10:47 2026 read 2951000 cycles Mon Aug 24 17:10:54 2026 cycles contain 9533374 unique relations Mon Aug 24 17:16:08 2026 read 9533374 relations Mon Aug 24 17:19:06 2026 multiplying 9533374 relations Mon Aug 24 17:31:57 2026 multiply complete, coefficients have about 509.88 million bits Mon Aug 24 17:32:02 2026 initial square root is modulo 1408898207 Mon Aug 24 17:44:46 2026 sqrtTime: 6105 Mon Aug 24 17:44:46 2026 p66 factor: 157878372500705635905017164375799776669196602373889348077749391959 Mon Aug 24 17:44:46 2026 p98 factor: 13845119430852401225665399522845906115491733779506212906089825478984237907665762583444880274171517 Mon Aug 24 17:44:46 2026 elapsed time 04:27:09