Fri Jan 9 11:37:24 2026 Fri Jan 9 11:37:24 2026 Fri Jan 9 11:37:24 2026 Msieve v. 1.54 (SVN Unversioned directory) Fri Jan 9 11:37:24 2026 random seeds: 42b9e5af 6b3def22 Fri Jan 9 11:37:24 2026 MPI process 0 of 1 Fri Jan 9 11:37:24 2026 Using 32 OpenMP threads Fri Jan 9 11:37:24 2026 factoring 461410487403829788967785393507561418780252883273652529489809146261886778486776218957454523908651963789149333410114948217988607398400973437279047018352977313986145550277193504570702103 (183 digits) Fri Jan 9 11:37:25 2026 searching for 15-digit factors Fri Jan 9 11:37:26 2026 commencing number field sieve (183-digit input) Fri Jan 9 11:37:26 2026 reversing signs of algebraic polynomial Fri Jan 9 11:37:26 2026 R0: -132978022787304643555195627451755458 Fri Jan 9 11:37:26 2026 R1: 5365680129331741804765139 Fri Jan 9 11:37:26 2026 A0: 2599227049217314695101000018929532472560 Fri Jan 9 11:37:26 2026 A1: 4065937181562819392593848607841624 Fri Jan 9 11:37:26 2026 A2: -12441548404551413523138125653 Fri Jan 9 11:37:26 2026 A3: -7028077986824914492147 Fri Jan 9 11:37:26 2026 A4: 4239843585316860 Fri Jan 9 11:37:26 2026 A5: 221760000 Fri Jan 9 11:37:26 2026 skew 1888105.25, size 6.293e-18, alpha -5.912, combined = 5.461e-14 rroots = 5 Fri Jan 9 11:37:26 2026 Fri Jan 9 11:37:26 2026 commencing relation filtering Fri Jan 9 11:37:26 2026 setting target matrix density to 130.0 Fri Jan 9 11:37:26 2026 reversing signs of algebraic polynomial Fri Jan 9 11:37:26 2026 estimated available RAM is 257736.5 MB Fri Jan 9 11:37:26 2026 commencing duplicate removal, pass 1 Fri Jan 9 11:55:00 2026 skipped 538 malformed relations Fri Jan 9 11:55:00 2026 found 83742440 hash collisions in 425013604 relations Fri Jan 9 11:55:38 2026 added 121687 free relations Fri Jan 9 11:55:38 2026 commencing duplicate removal, pass 2 Fri Jan 9 12:09:30 2026 found 85612041 duplicates and 339523250 unique relations Fri Jan 9 12:09:30 2026 memory use: 2643.0 MB Fri Jan 9 12:09:30 2026 reading ideals above 720000 Fri Jan 9 12:09:30 2026 commencing singleton removal, initial pass Fri Jan 9 13:00:31 2026 memory use: 11024.0 MB Fri Jan 9 13:00:32 2026 reading all ideals from disk Fri Jan 9 13:00:44 2026 memory use: 16779.8 MB Fri Jan 9 13:02:34 2026 keeping 330952468 ideals with weight <= 200, target excess is 1712984 Fri Jan 9 13:04:42 2026 commencing in-memory singleton removal Fri Jan 9 13:04:53 2026 begin with 339523250 relations and 330952468 unique ideals Fri Jan 9 13:05:33 2026 reduce to 200132554 relations and 175511777 ideals in 16 passes Fri Jan 9 13:05:33 2026 max relations containing the same ideal: 152 Fri Jan 9 13:08:15 2026 removing 15064663 relations and 13064663 ideals in 2000000 cliques Fri Jan 9 13:08:27 2026 commencing in-memory singleton removal Fri Jan 9 13:08:33 2026 begin with 185067891 relations and 175511777 unique ideals Fri Jan 9 13:08:51 2026 reduce to 184115138 relations and 161480839 ideals in 9 passes Fri Jan 9 13:08:51 2026 max relations containing the same ideal: 144 Fri Jan 9 13:11:25 2026 removing 11320877 relations and 9320877 ideals in 2000000 cliques Fri Jan 9 13:11:36 2026 commencing in-memory singleton removal Fri Jan 9 13:11:40 2026 begin with 172794261 relations and 161480839 unique ideals Fri Jan 9 13:11:56 2026 reduce to 172191006 relations and 151549637 ideals in 9 passes Fri Jan 9 13:11:56 2026 max relations containing the same ideal: 137 Fri Jan 9 13:15:04 2026 removing 10169844 relations and 8169844 ideals in 2000000 cliques Fri Jan 9 13:15:19 2026 commencing in-memory singleton removal Fri Jan 9 13:15:23 2026 begin with 162021162 relations and 151549637 unique ideals Fri Jan 9 13:15:42 2026 reduce to 161498345 relations and 142850794 ideals in 10 passes Fri Jan 9 13:15:42 2026 max relations containing the same ideal: 133 Fri Jan 9 13:18:32 2026 removing 9569805 relations and 7569805 ideals in 2000000 cliques Fri Jan 9 13:18:43 2026 commencing in-memory singleton removal Fri Jan 9 13:18:46 2026 begin with 151928540 relations and 142850794 unique ideals Fri Jan 9 13:18:59 2026 reduce to 151431558 relations and 134778117 ideals in 8 passes Fri Jan 9 13:18:59 2026 max relations containing the same ideal: 129 Fri Jan 9 13:21:19 2026 removing 9207028 relations and 7207028 ideals in 2000000 cliques Fri Jan 9 13:21:29 2026 commencing in-memory singleton removal Fri Jan 9 13:21:32 2026 begin with 142224530 relations and 134778117 unique ideals Fri Jan 9 13:21:46 2026 reduce to 141738873 relations and 127079424 ideals in 9 passes Fri Jan 9 13:21:46 2026 max relations containing the same ideal: 119 Fri Jan 9 13:24:21 2026 removing 8971145 relations and 6971145 ideals in 2000000 cliques Fri Jan 9 13:24:31 2026 commencing in-memory singleton removal Fri Jan 9 13:24:35 2026 begin with 132767728 relations and 127079424 unique ideals Fri Jan 9 13:24:48 2026 reduce to 132273118 relations and 119607354 ideals in 8 passes Fri Jan 9 13:24:48 2026 max relations containing the same ideal: 114 Fri Jan 9 13:27:12 2026 removing 8826675 relations and 6826675 ideals in 2000000 cliques Fri Jan 9 13:27:21 2026 commencing in-memory singleton removal Fri Jan 9 13:27:25 2026 begin with 123446443 relations and 119607354 unique ideals Fri Jan 9 13:27:37 2026 reduce to 122933242 relations and 112260597 ideals in 8 passes Fri Jan 9 13:27:37 2026 max relations containing the same ideal: 109 Fri Jan 9 13:29:33 2026 removing 8746682 relations and 6746682 ideals in 2000000 cliques Fri Jan 9 13:29:42 2026 commencing in-memory singleton removal Fri Jan 9 13:29:44 2026 begin with 114186560 relations and 112260597 unique ideals Fri Jan 9 13:29:54 2026 reduce to 113644813 relations and 104964322 ideals in 8 passes Fri Jan 9 13:29:54 2026 max relations containing the same ideal: 104 Fri Jan 9 13:31:43 2026 removing 8723087 relations and 6723087 ideals in 2000000 cliques Fri Jan 9 13:31:52 2026 commencing in-memory singleton removal Fri Jan 9 13:31:55 2026 begin with 104921726 relations and 104964322 unique ideals Fri Jan 9 13:32:03 2026 reduce to 104337091 relations and 97647623 ideals in 9 passes Fri Jan 9 13:32:03 2026 max relations containing the same ideal: 98 Fri Jan 9 13:33:42 2026 removing 8754283 relations and 6754283 ideals in 2000000 cliques Fri Jan 9 13:33:50 2026 commencing in-memory singleton removal Fri Jan 9 13:33:52 2026 begin with 95582808 relations and 97647623 unique ideals Fri Jan 9 13:34:00 2026 reduce to 94938033 relations and 90237755 ideals in 8 passes Fri Jan 9 13:34:00 2026 max relations containing the same ideal: 92 Fri Jan 9 13:35:31 2026 removing 8838091 relations and 6838091 ideals in 2000000 cliques Fri Jan 9 13:35:37 2026 commencing in-memory singleton removal Fri Jan 9 13:35:39 2026 begin with 86099942 relations and 90237755 unique ideals Fri Jan 9 13:35:47 2026 reduce to 85367285 relations and 82653677 ideals in 9 passes Fri Jan 9 13:35:47 2026 max relations containing the same ideal: 86 Fri Jan 9 13:37:05 2026 removing 4035869 relations and 3309323 ideals in 726546 cliques Fri Jan 9 13:37:09 2026 commencing in-memory singleton removal Fri Jan 9 13:37:11 2026 begin with 81331416 relations and 82653677 unique ideals Fri Jan 9 13:37:18 2026 reduce to 81178573 relations and 79190305 ideals in 8 passes Fri Jan 9 13:37:18 2026 max relations containing the same ideal: 82 Fri Jan 9 13:39:00 2026 relations with 0 large ideals: 5966 Fri Jan 9 13:39:00 2026 relations with 1 large ideals: 31021 Fri Jan 9 13:39:00 2026 relations with 2 large ideals: 431578 Fri Jan 9 13:39:00 2026 relations with 3 large ideals: 2665323 Fri Jan 9 13:39:00 2026 relations with 4 large ideals: 8944139 Fri Jan 9 13:39:00 2026 relations with 5 large ideals: 17960582 Fri Jan 9 13:39:00 2026 relations with 6 large ideals: 22486166 Fri Jan 9 13:39:00 2026 relations with 7+ large ideals: 28653798 Fri Jan 9 13:39:00 2026 commencing 2-way merge Fri Jan 9 13:41:00 2026 reduce to 50180993 relation sets and 48192725 unique ideals Fri Jan 9 13:41:00 2026 commencing full merge Fri Jan 9 14:25:45 2026 memory use: 5710.6 MB Fri Jan 9 14:25:54 2026 found 21326111 cycles, need 21314925 Fri Jan 9 14:26:05 2026 weight of 21314925 cycles is about 2771009460 (130.00/cycle) Fri Jan 9 14:26:05 2026 distribution of cycle lengths: Fri Jan 9 14:26:05 2026 1 relations: 1640448 Fri Jan 9 14:26:05 2026 2 relations: 1467631 Fri Jan 9 14:26:05 2026 3 relations: 1470567 Fri Jan 9 14:26:05 2026 4 relations: 1425046 Fri Jan 9 14:26:05 2026 5 relations: 1417384 Fri Jan 9 14:26:05 2026 6 relations: 1352381 Fri Jan 9 14:26:05 2026 7 relations: 1322809 Fri Jan 9 14:26:05 2026 8 relations: 1246394 Fri Jan 9 14:26:05 2026 9 relations: 1195455 Fri Jan 9 14:26:05 2026 10+ relations: 8776810 Fri Jan 9 14:26:05 2026 heaviest cycle: 28 relations Fri Jan 9 14:26:17 2026 commencing cycle optimization Fri Jan 9 14:28:16 2026 start with 192410684 relations Fri Jan 9 14:45:44 2026 pruned 7926511 relations Fri Jan 9 14:45:45 2026 memory use: 5266.0 MB Fri Jan 9 14:45:45 2026 distribution of cycle lengths: Fri Jan 9 14:45:45 2026 1 relations: 1640448 Fri Jan 9 14:45:45 2026 2 relations: 1506745 Fri Jan 9 14:45:45 2026 3 relations: 1531000 Fri Jan 9 14:45:45 2026 4 relations: 1478986 Fri Jan 9 14:45:45 2026 5 relations: 1478351 Fri Jan 9 14:45:45 2026 6 relations: 1407676 Fri Jan 9 14:45:45 2026 7 relations: 1377717 Fri Jan 9 14:45:45 2026 8 relations: 1295719 Fri Jan 9 14:45:45 2026 9 relations: 1238728 Fri Jan 9 14:45:45 2026 10+ relations: 8359555 Fri Jan 9 14:45:45 2026 heaviest cycle: 28 relations Fri Jan 9 14:47:04 2026 RelProcTime: 11378 Fri Jan 9 14:47:04 2026 Fri Jan 9 14:47:04 2026 commencing linear algebra Fri Jan 9 14:47:04 2026 using VBITS=256 Fri Jan 9 14:47:04 2026 stopping after matrix build Fri Jan 9 14:47:04 2026 initialized process (0,0) of 1 x 1 grid Fri Jan 9 14:47:04 2026 reversing signs of algebraic polynomial Fri Jan 9 14:47:08 2026 read 21314925 cycles Fri Jan 9 14:48:33 2026 cycles contain 79853602 unique relations Fri Jan 9 14:57:46 2026 read 79853602 relations Fri Jan 9 14:58:02 2026 using 20 quadratic characters above 4294917295 Fri Jan 9 14:58:16 2026 building initial matrix Fri Jan 9 15:37:23 2026 memory use: 11025.2 MB Fri Jan 9 15:37:54 2026 read 21314925 cycles Fri Jan 9 15:38:00 2026 matrix is 21314748 x 21314925 (10745.0 MB) with weight 3213946402 (150.78/col) Fri Jan 9 15:38:00 2026 sparse part has weight 2582262114 (121.15/col) Fri Jan 9 15:49:44 2026 filtering completed in 2 passes Fri Jan 9 15:49:53 2026 matrix is 21314372 x 21314548 (10744.9 MB) with weight 3213930470 (150.79/col) Fri Jan 9 15:49:53 2026 sparse part has weight 2582258237 (121.15/col) Fri Jan 9 15:53:12 2026 BLanczosTime: 3968 Fri Jan 9 15:53:12 2026 elapsed time 04:15:48 Fri Jan 9 16:23:37 2026 Fri Jan 9 16:23:37 2026 Fri Jan 9 16:23:37 2026 Msieve v. 1.54 (SVN Unversioned directory) Fri Jan 9 16:23:37 2026 random seeds: 4d32457c da7f265f Fri Jan 9 16:23:37 2026 MPI process 0 of 1 Fri Jan 9 16:23:37 2026 Using 64 OpenMP threads Fri Jan 9 16:23:37 2026 factoring 461410487403829788967785393507561418780252883273652529489809146261886778486776218957454523908651963789149333410114948217988607398400973437279047018352977313986145550277193504570702103 (183 digits) Fri Jan 9 16:23:38 2026 searching for 15-digit factors Fri Jan 9 16:23:39 2026 commencing number field sieve (183-digit input) Fri Jan 9 16:23:39 2026 reversing signs of algebraic polynomial Fri Jan 9 16:23:39 2026 R0: -132978022787304643555195627451755458 Fri Jan 9 16:23:39 2026 R1: 5365680129331741804765139 Fri Jan 9 16:23:39 2026 A0: 2599227049217314695101000018929532472560 Fri Jan 9 16:23:39 2026 A1: 4065937181562819392593848607841624 Fri Jan 9 16:23:39 2026 A2: -12441548404551413523138125653 Fri Jan 9 16:23:39 2026 A3: -7028077986824914492147 Fri Jan 9 16:23:39 2026 A4: 4239843585316860 Fri Jan 9 16:23:39 2026 A5: 221760000 Fri Jan 9 16:23:39 2026 skew 1888105.25, size 6.293e-18, alpha -5.912, combined = 5.461e-14 rroots = 5 Fri Jan 9 16:23:39 2026 Fri Jan 9 16:23:39 2026 commencing linear algebra Fri Jan 9 16:23:39 2026 using VBITS=256 Fri Jan 9 16:23:39 2026 skipping matrix build Fri Jan 9 16:23:39 2026 initialized process (0,0) of 1 x 1 grid Fri Jan 9 16:23:57 2026 matrix starts at (0, 0) Fri Jan 9 16:24:10 2026 matrix is 21314372 x 21314548 (10744.9 MB) with weight 3213930470 (150.79/col) Fri Jan 9 16:24:10 2026 sparse part has weight 2582258237 (121.15/col) Fri Jan 9 16:24:10 2026 saving the first 240 matrix rows for later Fri Jan 9 16:24:24 2026 matrix includes 256 packed rows Fri Jan 9 16:24:32 2026 matrix is 21314132 x 21314548 (9786.6 MB) with weight 2363758848 (110.90/col) Fri Jan 9 16:24:32 2026 sparse part has weight 2224453050 (104.36/col) Fri Jan 9 16:24:32 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Fri Jan 9 16:25:25 2026 commencing Lanczos iteration (64 threads) Fri Jan 9 16:25:25 2026 memory use: 13900.8 MB Fri Jan 9 16:28:37 2026 linear algebra at 0.1%, ETA 36h17m Fri Jan 9 16:33:20 2026 checking every 10000 dimensions, checkpointing every 590000 dimensions Sun Jan 11 05:24:18 2026 lanczos halted after 83510 iterations (dim = 21314129) Sun Jan 11 05:27:25 2026 recovered 28 nontrivial dependencies Sun Jan 11 05:27:33 2026 BLanczosTime: 133434 Sun Jan 11 05:27:33 2026 Sun Jan 11 05:27:33 2026 commencing square root phase Sun Jan 11 05:27:33 2026 reversing signs of algebraic polynomial Sun Jan 11 05:27:33 2026 handling dependencies 1 to 64 Sun Jan 11 05:27:33 2026 reading relations for dependency 1 Sun Jan 11 05:27:38 2026 read 10652561 cycles Sun Jan 11 05:28:25 2026 cycles contain 39915502 unique relations Sun Jan 11 05:37:22 2026 read 39915502 relations Sun Jan 11 05:43:55 2026 multiplying 39915502 relations Sun Jan 11 05:53:12 2026 multiply complete, coefficients have about 2668.71 million bits Sun Jan 11 05:53:24 2026 initial square root is modulo 967229 Sun Jan 11 06:26:36 2026 sqrtTime: 3543 Sun Jan 11 06:26:36 2026 p89 factor: 16006303524028209522293442908203964135619572056893247405380540227873263168669535526931489 Sun Jan 11 06:26:36 2026 p95 factor: 28826798561652503544709856599638019404582022288395425703482568577620113474149269763607381827127 Sun Jan 11 06:26:36 2026 elapsed time 38:02:59