Fri Apr 10 15:20:34 2026 Fri Apr 10 15:20:34 2026 Fri Apr 10 15:20:34 2026 Msieve v. 1.54 (SVN unknown) Fri Apr 10 15:20:34 2026 random seeds: d1ac3ad5 26104c63 Fri Apr 10 15:20:34 2026 factoring 241158004103901238649762080224005899077401480201153979699494947744204511799123186392769923175699705023617243180784348112926403178678703119548265789216258943424391 (162 digits) Fri Apr 10 15:20:35 2026 no P-1/P+1/ECM available, skipping Fri Apr 10 15:20:35 2026 commencing number field sieve (162-digit input) Fri Apr 10 15:20:35 2026 R0: -30432164587667563285596000326171 Fri Apr 10 15:20:35 2026 R1: 582508134969980388623 Fri Apr 10 15:20:35 2026 A0: 4969712785284922835233450639372755392 Fri Apr 10 15:20:35 2026 A1: 15898654828312823442969159982904 Fri Apr 10 15:20:35 2026 A2: 7255467959999723286534414 Fri Apr 10 15:20:35 2026 A3: -13893373813232482069 Fri Apr 10 15:20:35 2026 A4: -728535672706 Fri Apr 10 15:20:35 2026 A5: 175560 Fri Apr 10 15:20:35 2026 skew 3104739.63, size 1.343e-15, alpha -6.846, combined = 1.408e-12 rroots = 3 Fri Apr 10 15:20:35 2026 Fri Apr 10 15:20:35 2026 commencing relation filtering Fri Apr 10 15:20:35 2026 setting target matrix density to 100.0 Fri Apr 10 15:20:35 2026 estimated available RAM is 7902.4 MB Fri Apr 10 15:20:35 2026 commencing duplicate removal, pass 1 Fri Apr 10 15:36:12 2026 found 3091555 hash collisions in 117306380 relations Fri Apr 10 15:36:47 2026 added 122204 free relations Fri Apr 10 15:36:47 2026 commencing duplicate removal, pass 2 Fri Apr 10 15:37:37 2026 found 1 duplicates and 117428583 unique relations Fri Apr 10 15:37:37 2026 memory use: 381.2 MB Fri Apr 10 15:37:37 2026 reading ideals above 64946176 Fri Apr 10 15:37:37 2026 commencing singleton removal, initial pass Fri Apr 10 15:49:34 2026 memory use: 3012.0 MB Fri Apr 10 15:49:34 2026 reading all ideals from disk Fri Apr 10 15:49:40 2026 memory use: 2014.5 MB Fri Apr 10 15:49:45 2026 commencing in-memory singleton removal Fri Apr 10 15:49:49 2026 begin with 117428583 relations and 108482375 unique ideals Fri Apr 10 15:50:40 2026 reduce to 59156735 relations and 42445220 ideals in 17 passes Fri Apr 10 15:50:40 2026 max relations containing the same ideal: 39 Fri Apr 10 15:50:44 2026 reading ideals above 720000 Fri Apr 10 15:50:44 2026 commencing singleton removal, initial pass Fri Apr 10 15:58:41 2026 memory use: 1378.0 MB Fri Apr 10 15:58:41 2026 reading all ideals from disk Fri Apr 10 15:58:47 2026 memory use: 2157.8 MB Fri Apr 10 15:58:53 2026 keeping 49797061 ideals with weight <= 200, target excess is 323730 Fri Apr 10 15:59:00 2026 commencing in-memory singleton removal Fri Apr 10 15:59:05 2026 begin with 59156736 relations and 49797061 unique ideals Fri Apr 10 15:59:55 2026 reduce to 59142643 relations and 49782965 ideals in 10 passes Fri Apr 10 15:59:55 2026 max relations containing the same ideal: 200 Fri Apr 10 16:00:25 2026 removing 6504562 relations and 5504562 ideals in 1000000 cliques Fri Apr 10 16:00:28 2026 commencing in-memory singleton removal Fri Apr 10 16:00:32 2026 begin with 52638081 relations and 49782965 unique ideals Fri Apr 10 16:01:06 2026 reduce to 52119994 relations and 43749247 ideals in 8 passes Fri Apr 10 16:01:06 2026 max relations containing the same ideal: 190 Fri Apr 10 16:01:30 2026 removing 4875710 relations and 3875710 ideals in 1000000 cliques Fri Apr 10 16:01:32 2026 commencing in-memory singleton removal Fri Apr 10 16:01:36 2026 begin with 47244284 relations and 43749247 unique ideals Fri Apr 10 16:02:03 2026 reduce to 46904553 relations and 39527317 ideals in 9 passes Fri Apr 10 16:02:03 2026 max relations containing the same ideal: 179 Fri Apr 10 16:02:24 2026 removing 4375446 relations and 3375446 ideals in 1000000 cliques Fri Apr 10 16:02:26 2026 commencing in-memory singleton removal Fri Apr 10 16:02:29 2026 begin with 42529107 relations and 39527317 unique ideals Fri Apr 10 16:02:51 2026 reduce to 42224751 relations and 35841491 ideals in 8 passes Fri Apr 10 16:02:51 2026 max relations containing the same ideal: 168 Fri Apr 10 16:03:09 2026 removing 4116122 relations and 3116122 ideals in 1000000 cliques Fri Apr 10 16:03:11 2026 commencing in-memory singleton removal Fri Apr 10 16:03:14 2026 begin with 38108629 relations and 35841491 unique ideals Fri Apr 10 16:03:36 2026 reduce to 37813743 relations and 32424353 ideals in 9 passes Fri Apr 10 16:03:36 2026 max relations containing the same ideal: 160 Fri Apr 10 16:03:53 2026 removing 3953667 relations and 2953667 ideals in 1000000 cliques Fri Apr 10 16:03:55 2026 commencing in-memory singleton removal Fri Apr 10 16:03:57 2026 begin with 33860076 relations and 32424353 unique ideals Fri Apr 10 16:04:14 2026 reduce to 33562447 relations and 29166282 ideals in 8 passes Fri Apr 10 16:04:14 2026 max relations containing the same ideal: 146 Fri Apr 10 16:04:29 2026 removing 3849825 relations and 2849825 ideals in 1000000 cliques Fri Apr 10 16:04:31 2026 commencing in-memory singleton removal Fri Apr 10 16:04:33 2026 begin with 29712622 relations and 29166282 unique ideals Fri Apr 10 16:04:48 2026 reduce to 29402566 relations and 25998524 ideals in 8 passes Fri Apr 10 16:04:48 2026 max relations containing the same ideal: 132 Fri Apr 10 16:05:02 2026 removing 3777037 relations and 2777037 ideals in 1000000 cliques Fri Apr 10 16:05:03 2026 commencing in-memory singleton removal Fri Apr 10 16:05:05 2026 begin with 25625529 relations and 25998524 unique ideals Fri Apr 10 16:05:18 2026 reduce to 25291739 relations and 22878157 ideals in 8 passes Fri Apr 10 16:05:18 2026 max relations containing the same ideal: 117 Fri Apr 10 16:05:29 2026 removing 3724962 relations and 2724962 ideals in 1000000 cliques Fri Apr 10 16:05:30 2026 commencing in-memory singleton removal Fri Apr 10 16:05:32 2026 begin with 21566777 relations and 22878157 unique ideals Fri Apr 10 16:05:42 2026 reduce to 21196738 relations and 19770790 ideals in 8 passes Fri Apr 10 16:05:42 2026 max relations containing the same ideal: 105 Fri Apr 10 16:05:52 2026 removing 3688452 relations and 2688452 ideals in 1000000 cliques Fri Apr 10 16:05:54 2026 commencing in-memory singleton removal Fri Apr 10 16:05:55 2026 begin with 17508286 relations and 19770790 unique ideals Fri Apr 10 16:06:03 2026 reduce to 17075912 relations and 16632620 ideals in 8 passes Fri Apr 10 16:06:03 2026 max relations containing the same ideal: 90 Fri Apr 10 16:06:11 2026 removing 428835 relations and 361070 ideals in 67765 cliques Fri Apr 10 16:06:12 2026 commencing in-memory singleton removal Fri Apr 10 16:06:13 2026 begin with 16647077 relations and 16632620 unique ideals Fri Apr 10 16:06:19 2026 reduce to 16641170 relations and 16265624 ideals in 6 passes Fri Apr 10 16:06:19 2026 max relations containing the same ideal: 88 Fri Apr 10 16:06:22 2026 relations with 0 large ideals: 1044 Fri Apr 10 16:06:22 2026 relations with 1 large ideals: 3635 Fri Apr 10 16:06:22 2026 relations with 2 large ideals: 58739 Fri Apr 10 16:06:22 2026 relations with 3 large ideals: 421243 Fri Apr 10 16:06:22 2026 relations with 4 large ideals: 1580895 Fri Apr 10 16:06:22 2026 relations with 5 large ideals: 3452938 Fri Apr 10 16:06:22 2026 relations with 6 large ideals: 4632388 Fri Apr 10 16:06:22 2026 relations with 7+ large ideals: 6490288 Fri Apr 10 16:06:22 2026 commencing 2-way merge Fri Apr 10 16:06:32 2026 reduce to 10179585 relation sets and 9804039 unique ideals Fri Apr 10 16:06:32 2026 commencing full merge Fri Apr 10 16:09:30 2026 memory use: 1223.9 MB Fri Apr 10 16:09:31 2026 found 4927703 cycles, need 4880239 Fri Apr 10 16:09:33 2026 weight of 4880239 cycles is about 488489203 (100.10/cycle) Fri Apr 10 16:09:33 2026 distribution of cycle lengths: Fri Apr 10 16:09:33 2026 1 relations: 295479 Fri Apr 10 16:09:33 2026 2 relations: 379001 Fri Apr 10 16:09:33 2026 3 relations: 429864 Fri Apr 10 16:09:33 2026 4 relations: 438449 Fri Apr 10 16:09:33 2026 5 relations: 439604 Fri Apr 10 16:09:33 2026 6 relations: 419983 Fri Apr 10 16:09:33 2026 7 relations: 401104 Fri Apr 10 16:09:33 2026 8 relations: 367684 Fri Apr 10 16:09:33 2026 9 relations: 326171 Fri Apr 10 16:09:33 2026 10+ relations: 1382900 Fri Apr 10 16:09:33 2026 heaviest cycle: 24 relations Fri Apr 10 16:09:34 2026 commencing cycle optimization Fri Apr 10 16:09:43 2026 start with 35524975 relations Fri Apr 10 16:10:43 2026 pruned 1205360 relations Fri Apr 10 16:10:44 2026 memory use: 1054.5 MB Fri Apr 10 16:10:44 2026 distribution of cycle lengths: Fri Apr 10 16:10:44 2026 1 relations: 295479 Fri Apr 10 16:10:44 2026 2 relations: 388491 Fri Apr 10 16:10:44 2026 3 relations: 446451 Fri Apr 10 16:10:44 2026 4 relations: 453945 Fri Apr 10 16:10:44 2026 5 relations: 456871 Fri Apr 10 16:10:44 2026 6 relations: 435082 Fri Apr 10 16:10:44 2026 7 relations: 415986 Fri Apr 10 16:10:44 2026 8 relations: 377340 Fri Apr 10 16:10:44 2026 9 relations: 332621 Fri Apr 10 16:10:44 2026 10+ relations: 1277973 Fri Apr 10 16:10:44 2026 heaviest cycle: 24 relations Fri Apr 10 16:10:52 2026 RelProcTime: 3017 Fri Apr 10 16:10:54 2026 elapsed time 00:50:20 Fri Apr 10 17:58:04 2026 Fri Apr 10 17:58:04 2026 Fri Apr 10 17:58:04 2026 Msieve v. 1.54 (SVN unknown) Fri Apr 10 17:58:04 2026 random seeds: 182332b2 6cfe267b Fri Apr 10 17:58:04 2026 factoring 241158004103901238649762080224005899077401480201153979699494947744204511799123186392769923175699705023617243180784348112926403178678703119548265789216258943424391 (162 digits) Fri Apr 10 17:58:04 2026 no P-1/P+1/ECM available, skipping Fri Apr 10 17:58:04 2026 commencing number field sieve (162-digit input) Fri Apr 10 17:58:04 2026 R0: -30432164587667563285596000326171 Fri Apr 10 17:58:04 2026 R1: 582508134969980388623 Fri Apr 10 17:58:04 2026 A0: 4969712785284922835233450639372755392 Fri Apr 10 17:58:04 2026 A1: 15898654828312823442969159982904 Fri Apr 10 17:58:04 2026 A2: 7255467959999723286534414 Fri Apr 10 17:58:04 2026 A3: -13893373813232482069 Fri Apr 10 17:58:04 2026 A4: -728535672706 Fri Apr 10 17:58:04 2026 A5: 175560 Fri Apr 10 17:58:04 2026 skew 3104739.63, size 1.343e-15, alpha -6.846, combined = 1.408e-12 rroots = 3 Fri Apr 10 17:58:04 2026 Fri Apr 10 17:58:04 2026 commencing linear algebra Fri Apr 10 17:58:04 2026 using VBITS=512 Fri Apr 10 17:58:05 2026 read 4880239 cycles Fri Apr 10 17:58:15 2026 cycles contain 16420516 unique relations Fri Apr 10 18:00:09 2026 read 16420516 relations Fri Apr 10 18:00:36 2026 using 20 quadratic characters above 4294917295 Fri Apr 10 18:02:00 2026 building initial matrix Fri Apr 10 18:05:46 2026 memory use: 2218.1 MB Fri Apr 10 18:05:49 2026 read 4880239 cycles Fri Apr 10 18:05:50 2026 matrix is 4880062 x 4880239 (1969.2 MB) with weight 608629200 (124.71/col) Fri Apr 10 18:05:50 2026 sparse part has weight 462536927 (94.78/col) Fri Apr 10 18:06:44 2026 filtering completed in 2 passes Fri Apr 10 18:06:45 2026 matrix is 4879650 x 4879823 (1969.2 MB) with weight 608610924 (124.72/col) Fri Apr 10 18:06:45 2026 sparse part has weight 462531525 (94.78/col) Fri Apr 10 18:06:59 2026 matrix starts at (0, 0) Fri Apr 10 18:07:00 2026 matrix is 4879650 x 4879823 (1969.2 MB) with weight 608610924 (124.72/col) Fri Apr 10 18:07:00 2026 sparse part has weight 462531525 (94.78/col) Fri Apr 10 18:07:00 2026 saving the first 496 matrix rows for later Fri Apr 10 18:07:02 2026 matrix includes 512 packed rows Fri Apr 10 18:07:06 2026 matrix is 4879154 x 4879823 (1834.9 MB) with weight 390144649 (79.95/col) Fri Apr 10 18:07:06 2026 sparse part has weight 363898000 (74.57/col) Fri Apr 10 18:07:07 2026 using GPU 0 (NVIDIA GeForce RTX 3060) Fri Apr 10 18:07:07 2026 selected card has CUDA arch 8.6 Fri Apr 10 18:07:42 2026 commencing Lanczos iteration Fri Apr 10 18:07:43 2026 memory use: 5308.0 MB Fri Apr 10 18:08:00 2026 linear algebra at 0.3%, ETA 1h24m Fri Apr 10 18:08:00 2026 checkpointing every 3570000 dimensions Fri Apr 10 19:33:57 2026 lanczos halted after 9545 iterations (dim = 4879150) Fri Apr 10 19:35:51 2026 recovered 27 nontrivial dependencies Fri Apr 10 19:35:52 2026 BLanczosTime: 5868 Fri Apr 10 19:35:52 2026 elapsed time 01:37:48 Fri Apr 10 19:42:40 2026 Fri Apr 10 19:42:40 2026 Fri Apr 10 19:42:40 2026 Msieve v. 1.54 (SVN unknown) Fri Apr 10 19:42:40 2026 random seeds: 602cf4a6 0acf70ac Fri Apr 10 19:42:40 2026 factoring 241158004103901238649762080224005899077401480201153979699494947744204511799123186392769923175699705023617243180784348112926403178678703119548265789216258943424391 (162 digits) Fri Apr 10 19:42:41 2026 no P-1/P+1/ECM available, skipping Fri Apr 10 19:42:41 2026 commencing number field sieve (162-digit input) Fri Apr 10 19:42:41 2026 R0: -30432164587667563285596000326171 Fri Apr 10 19:42:41 2026 R1: 582508134969980388623 Fri Apr 10 19:42:41 2026 A0: 4969712785284922835233450639372755392 Fri Apr 10 19:42:41 2026 A1: 15898654828312823442969159982904 Fri Apr 10 19:42:41 2026 A2: 7255467959999723286534414 Fri Apr 10 19:42:41 2026 A3: -13893373813232482069 Fri Apr 10 19:42:41 2026 A4: -728535672706 Fri Apr 10 19:42:41 2026 A5: 175560 Fri Apr 10 19:42:41 2026 skew 3104739.63, size 1.343e-15, alpha -6.846, combined = 1.408e-12 rroots = 3 Fri Apr 10 19:42:41 2026 Fri Apr 10 19:42:41 2026 commencing square root phase Fri Apr 10 19:42:41 2026 reading relations for dependency 1 Fri Apr 10 19:42:42 2026 read 2437955 cycles Fri Apr 10 19:42:46 2026 cycles contain 8206276 unique relations Fri Apr 10 19:44:00 2026 read 8206276 relations Fri Apr 10 19:44:41 2026 multiplying 8206276 relations Fri Apr 10 19:53:23 2026 multiply complete, coefficients have about 437.37 million bits Fri Apr 10 19:53:25 2026 initial square root is modulo 70445231 Fri Apr 10 20:04:22 2026 sqrtTime: 1301 Fri Apr 10 20:04:22 2026 p58 factor: 7475624115685181941809356052259614931147264771268238943321 Fri Apr 10 20:04:22 2026 p104 factor: 32259246903266455260407981928876576650915297153789691424008370267729070926469088225100973432536784936671 Fri Apr 10 20:04:22 2026 elapsed time 00:21:42