Fri May 15 15:37:46 2026 Fri May 15 15:37:46 2026 Fri May 15 15:37:46 2026 Msieve v. 1.54 (SVN Unversioned directory) Fri May 15 15:37:46 2026 random seeds: 6751d315 6428bbc1 Fri May 15 15:37:46 2026 MPI process 0 of 1 Fri May 15 15:37:46 2026 Using 32 OpenMP threads Fri May 15 15:37:46 2026 factoring 680500782994594476021117225984516397597435331714336944687455055381476861554738669297791396466095173290129001115910647571076935435936965131925871142072161287356547391302396038318467 (180 digits) Fri May 15 15:37:47 2026 searching for 15-digit factors Fri May 15 15:37:48 2026 commencing number field sieve (180-digit input) Fri May 15 15:37:48 2026 R0: -51833011469547575279943838943737171 Fri May 15 15:37:48 2026 R1: 38899114063390847043406493 Fri May 15 15:37:48 2026 A0: -42118423080442725148071212427739466001768 Fri May 15 15:37:48 2026 A1: 17816448981548595110371281577779622 Fri May 15 15:37:48 2026 A2: 10548488306260359315322068265 Fri May 15 15:37:48 2026 A3: -576358463753849442579 Fri May 15 15:37:48 2026 A4: 48327321051685 Fri May 15 15:37:48 2026 A5: 1782900 Fri May 15 15:37:48 2026 skew 11306160.68, size 1.382e-17, alpha -5.781, combined = 8.759e-14 rroots = 3 Fri May 15 15:37:48 2026 Fri May 15 15:37:48 2026 commencing relation filtering Fri May 15 15:37:48 2026 setting target matrix density to 140.0 Fri May 15 15:37:48 2026 estimated available RAM is 257736.5 MB Fri May 15 15:37:48 2026 commencing duplicate removal, pass 1 Fri May 15 15:38:19 2026 error -15 reading relation 11765200 Fri May 15 15:38:45 2026 error -1 reading relation 21777365 Fri May 15 15:39:10 2026 error -1 reading relation 31922026 Fri May 15 15:40:40 2026 error -1 reading relation 67781567 Fri May 15 15:41:19 2026 error -1 reading relation 81318236 Fri May 15 15:41:35 2026 error -1 reading relation 87250059 Fri May 15 15:42:02 2026 error -1 reading relation 97232342 Fri May 15 15:43:47 2026 error -1 reading relation 135680549 Fri May 15 15:43:51 2026 error -1 reading relation 136911085 Fri May 15 15:44:07 2026 error -1 reading relation 142150208 Fri May 15 15:44:12 2026 error -1 reading relation 143943791 Fri May 15 15:46:22 2026 error -1 reading relation 192096469 Fri May 15 15:47:20 2026 error -1 reading relation 214964735 Fri May 15 15:47:23 2026 error -1 reading relation 215915031 Fri May 15 15:47:46 2026 error -1 reading relation 224842933 Fri May 15 15:47:49 2026 error -1 reading relation 225781295 Fri May 15 15:48:10 2026 error -1 reading relation 234098496 Fri May 15 15:48:28 2026 error -1 reading relation 241208580 Fri May 15 15:48:36 2026 error -1 reading relation 243651969 Fri May 15 15:48:37 2026 error -1 reading relation 244234970 Fri May 15 15:48:42 2026 error -1 reading relation 246013049 Fri May 15 15:48:45 2026 error -1 reading relation 247086573 Fri May 15 15:49:43 2026 error -1 reading relation 267659229 Fri May 15 15:49:48 2026 error -1 reading relation 269593496 Fri May 15 15:51:14 2026 error -1 reading relation 299089243 Fri May 15 15:51:46 2026 error -1 reading relation 310228389 Fri May 15 15:51:49 2026 error -1 reading relation 311702442 Fri May 15 15:52:05 2026 error -1 reading relation 317952214 Fri May 15 15:52:10 2026 error -1 reading relation 319874173 Fri May 15 15:52:36 2026 error -1 reading relation 330547163 Fri May 15 15:52:56 2026 error -1 reading relation 336298431 Fri May 15 15:53:06 2026 error -1 reading relation 340208677 Fri May 15 15:54:21 2026 error -1 reading relation 368612485 Fri May 15 15:54:30 2026 error -1 reading relation 371885220 Fri May 15 15:54:39 2026 error -1 reading relation 375412665 Fri May 15 15:54:43 2026 error -1 reading relation 376934326 Fri May 15 15:54:48 2026 error -1 reading relation 378800149 Fri May 15 15:54:50 2026 error -1 reading relation 379716984 Fri May 15 15:54:51 2026 error -1 reading relation 379870791 Fri May 15 15:55:13 2026 error -1 reading relation 388268921 Fri May 15 15:55:17 2026 error -1 reading relation 390006497 Fri May 15 15:55:46 2026 error -1 reading relation 401255194 Fri May 15 15:55:49 2026 error -1 reading relation 402644809 Fri May 15 15:55:50 2026 error -1 reading relation 402666684 Fri May 15 15:55:51 2026 error -15 reading relation 403241833 Fri May 15 15:55:59 2026 error -1 reading relation 406250566 Fri May 15 15:55:59 2026 error -1 reading relation 406253364 Fri May 15 15:57:27 2026 error -1 reading relation 438221305 Fri May 15 15:57:32 2026 error -1 reading relation 440000914 Fri May 15 15:57:46 2026 skipped 2 relations with composite factors Fri May 15 15:57:46 2026 skipped 367 malformed relations Fri May 15 15:57:46 2026 found 96862248 hash collisions in 445779485 relations Fri May 15 15:58:26 2026 added 121441 free relations Fri May 15 15:58:26 2026 commencing duplicate removal, pass 2 Fri May 15 16:14:29 2026 found 109462622 duplicates and 336438304 unique relations Fri May 15 16:14:29 2026 memory use: 3155.0 MB Fri May 15 16:14:29 2026 reading ideals above 720000 Fri May 15 16:14:30 2026 commencing singleton removal, initial pass Fri May 15 17:16:49 2026 memory use: 6024.0 MB Fri May 15 17:16:50 2026 reading all ideals from disk Fri May 15 17:17:03 2026 memory use: 16339.1 MB Fri May 15 17:18:55 2026 keeping 312112926 ideals with weight <= 200, target excess is 1793886 Fri May 15 17:21:14 2026 commencing in-memory singleton removal Fri May 15 17:21:24 2026 begin with 336438304 relations and 312112926 unique ideals Fri May 15 17:22:05 2026 reduce to 202560164 relations and 163820197 ideals in 15 passes Fri May 15 17:22:05 2026 max relations containing the same ideal: 154 Fri May 15 17:25:28 2026 removing 12439174 relations and 10439174 ideals in 2000000 cliques Fri May 15 17:25:40 2026 commencing in-memory singleton removal Fri May 15 17:25:46 2026 begin with 190120990 relations and 163820197 unique ideals Fri May 15 17:26:03 2026 reduce to 189572626 relations and 152825634 ideals in 8 passes Fri May 15 17:26:03 2026 max relations containing the same ideal: 143 Fri May 15 17:28:52 2026 removing 9414642 relations and 7414642 ideals in 2000000 cliques Fri May 15 17:29:02 2026 commencing in-memory singleton removal Fri May 15 17:29:06 2026 begin with 180157984 relations and 152825634 unique ideals Fri May 15 17:29:22 2026 reduce to 179797288 relations and 145046384 ideals in 8 passes Fri May 15 17:29:22 2026 max relations containing the same ideal: 141 Fri May 15 17:32:03 2026 removing 8479863 relations and 6479863 ideals in 2000000 cliques Fri May 15 17:32:12 2026 commencing in-memory singleton removal Fri May 15 17:32:18 2026 begin with 171317425 relations and 145046384 unique ideals Fri May 15 17:32:32 2026 reduce to 171002796 relations and 138248376 ideals in 8 passes Fri May 15 17:32:32 2026 max relations containing the same ideal: 134 Fri May 15 17:35:05 2026 removing 7975728 relations and 5975728 ideals in 2000000 cliques Fri May 15 17:35:13 2026 commencing in-memory singleton removal Fri May 15 17:35:19 2026 begin with 163027068 relations and 138248376 unique ideals Fri May 15 17:35:32 2026 reduce to 162733921 relations and 131976340 ideals in 7 passes Fri May 15 17:35:32 2026 max relations containing the same ideal: 131 Fri May 15 17:37:43 2026 removing 7656043 relations and 5656043 ideals in 2000000 cliques Fri May 15 17:37:52 2026 commencing in-memory singleton removal Fri May 15 17:37:56 2026 begin with 155077878 relations and 131976340 unique ideals Fri May 15 17:38:08 2026 reduce to 154794399 relations and 126033607 ideals in 7 passes Fri May 15 17:38:08 2026 max relations containing the same ideal: 127 Fri May 15 17:40:34 2026 removing 7438847 relations and 5438847 ideals in 2000000 cliques Fri May 15 17:40:43 2026 commencing in-memory singleton removal Fri May 15 17:40:46 2026 begin with 147355552 relations and 126033607 unique ideals Fri May 15 17:40:57 2026 reduce to 147074876 relations and 120310842 ideals in 7 passes Fri May 15 17:40:57 2026 max relations containing the same ideal: 122 Fri May 15 17:43:09 2026 removing 7283672 relations and 5283672 ideals in 2000000 cliques Fri May 15 17:43:18 2026 commencing in-memory singleton removal Fri May 15 17:43:21 2026 begin with 139791204 relations and 120310842 unique ideals Fri May 15 17:43:31 2026 reduce to 139509676 relations and 114742169 ideals in 7 passes Fri May 15 17:43:31 2026 max relations containing the same ideal: 121 Fri May 15 17:45:34 2026 removing 7171596 relations and 5171596 ideals in 2000000 cliques Fri May 15 17:45:42 2026 commencing in-memory singleton removal Fri May 15 17:45:45 2026 begin with 132338080 relations and 114742169 unique ideals Fri May 15 17:45:53 2026 reduce to 132053610 relations and 109282369 ideals in 6 passes Fri May 15 17:45:53 2026 max relations containing the same ideal: 116 Fri May 15 17:47:52 2026 removing 7091553 relations and 5091553 ideals in 2000000 cliques Fri May 15 17:47:59 2026 commencing in-memory singleton removal Fri May 15 17:48:02 2026 begin with 124962057 relations and 109282369 unique ideals Fri May 15 17:48:11 2026 reduce to 124668894 relations and 103893687 ideals in 7 passes Fri May 15 17:48:11 2026 max relations containing the same ideal: 110 Fri May 15 17:49:59 2026 removing 7041400 relations and 5041400 ideals in 2000000 cliques Fri May 15 17:50:07 2026 commencing in-memory singleton removal Fri May 15 17:50:09 2026 begin with 117627494 relations and 103893687 unique ideals Fri May 15 17:50:16 2026 reduce to 117323507 relations and 98543874 ideals in 7 passes Fri May 15 17:50:16 2026 max relations containing the same ideal: 107 Fri May 15 17:51:55 2026 removing 7011119 relations and 5011119 ideals in 2000000 cliques Fri May 15 17:52:02 2026 commencing in-memory singleton removal Fri May 15 17:52:04 2026 begin with 110312388 relations and 98543874 unique ideals Fri May 15 17:52:12 2026 reduce to 109993459 relations and 93208983 ideals in 7 passes Fri May 15 17:52:12 2026 max relations containing the same ideal: 105 Fri May 15 17:53:45 2026 removing 7002664 relations and 5002664 ideals in 2000000 cliques Fri May 15 17:53:51 2026 commencing in-memory singleton removal Fri May 15 17:53:54 2026 begin with 102990795 relations and 93208983 unique ideals Fri May 15 17:54:02 2026 reduce to 102652016 relations and 87862055 ideals in 7 passes Fri May 15 17:54:02 2026 max relations containing the same ideal: 98 Fri May 15 17:55:30 2026 removing 7015934 relations and 5015934 ideals in 2000000 cliques Fri May 15 17:55:36 2026 commencing in-memory singleton removal Fri May 15 17:55:39 2026 begin with 95636082 relations and 87862055 unique ideals Fri May 15 17:55:46 2026 reduce to 95271376 relations and 82475136 ideals in 7 passes Fri May 15 17:55:46 2026 max relations containing the same ideal: 93 Fri May 15 17:57:07 2026 removing 7051025 relations and 5051025 ideals in 2000000 cliques Fri May 15 17:57:12 2026 commencing in-memory singleton removal Fri May 15 17:57:15 2026 begin with 88220351 relations and 82475136 unique ideals Fri May 15 17:57:21 2026 reduce to 87824754 relations and 77021225 ideals in 8 passes Fri May 15 17:57:21 2026 max relations containing the same ideal: 88 Fri May 15 17:58:39 2026 removing 7101883 relations and 5101883 ideals in 2000000 cliques Fri May 15 17:58:44 2026 commencing in-memory singleton removal Fri May 15 17:58:46 2026 begin with 80722871 relations and 77021225 unique ideals Fri May 15 17:58:52 2026 reduce to 80282896 relations and 71470851 ideals in 7 passes Fri May 15 17:58:52 2026 max relations containing the same ideal: 84 Fri May 15 18:00:01 2026 removing 7185856 relations and 5185856 ideals in 2000000 cliques Fri May 15 18:00:06 2026 commencing in-memory singleton removal Fri May 15 18:00:08 2026 begin with 73097040 relations and 71470851 unique ideals Fri May 15 18:00:14 2026 reduce to 72602307 relations and 65779767 ideals in 8 passes Fri May 15 18:00:14 2026 max relations containing the same ideal: 79 Fri May 15 18:01:25 2026 removing 7300747 relations and 5300747 ideals in 2000000 cliques Fri May 15 18:01:31 2026 commencing in-memory singleton removal Fri May 15 18:01:32 2026 begin with 65301560 relations and 65779767 unique ideals Fri May 15 18:01:37 2026 reduce to 64726779 relations and 59890766 ideals in 8 passes Fri May 15 18:01:37 2026 max relations containing the same ideal: 73 Fri May 15 18:02:35 2026 removing 7462928 relations and 5462928 ideals in 2000000 cliques Fri May 15 18:02:40 2026 commencing in-memory singleton removal Fri May 15 18:02:42 2026 begin with 57263851 relations and 59890766 unique ideals Fri May 15 18:02:46 2026 reduce to 56577727 relations and 53723855 ideals in 9 passes Fri May 15 18:02:46 2026 max relations containing the same ideal: 65 Fri May 15 18:03:37 2026 removing 3618703 relations and 2845739 ideals in 772964 cliques Fri May 15 18:03:41 2026 commencing in-memory singleton removal Fri May 15 18:03:42 2026 begin with 52959024 relations and 53723855 unique ideals Fri May 15 18:03:45 2026 reduce to 52789631 relations and 50706813 ideals in 7 passes Fri May 15 18:03:45 2026 max relations containing the same ideal: 64 Fri May 15 18:04:42 2026 relations with 0 large ideals: 6279 Fri May 15 18:04:42 2026 relations with 1 large ideals: 59851 Fri May 15 18:04:42 2026 relations with 2 large ideals: 695936 Fri May 15 18:04:42 2026 relations with 3 large ideals: 3465702 Fri May 15 18:04:42 2026 relations with 4 large ideals: 9194995 Fri May 15 18:04:42 2026 relations with 5 large ideals: 14287527 Fri May 15 18:04:42 2026 relations with 6 large ideals: 13637561 Fri May 15 18:04:42 2026 relations with 7+ large ideals: 11441780 Fri May 15 18:04:42 2026 commencing 2-way merge Fri May 15 18:05:45 2026 reduce to 32671386 relation sets and 30588568 unique ideals Fri May 15 18:05:45 2026 commencing full merge Fri May 15 18:30:10 2026 memory use: 3676.8 MB Fri May 15 18:30:17 2026 found 13834194 cycles, need 13754768 Fri May 15 18:30:24 2026 weight of 13754768 cycles is about 1926170380 (140.04/cycle) Fri May 15 18:30:24 2026 distribution of cycle lengths: Fri May 15 18:30:24 2026 1 relations: 683540 Fri May 15 18:30:24 2026 2 relations: 761417 Fri May 15 18:30:24 2026 3 relations: 830117 Fri May 15 18:30:24 2026 4 relations: 839977 Fri May 15 18:30:24 2026 5 relations: 874086 Fri May 15 18:30:25 2026 6 relations: 875911 Fri May 15 18:30:25 2026 7 relations: 866969 Fri May 15 18:30:25 2026 8 relations: 860073 Fri May 15 18:30:25 2026 9 relations: 828689 Fri May 15 18:30:25 2026 10+ relations: 6333989 Fri May 15 18:30:25 2026 heaviest cycle: 28 relations Fri May 15 18:30:34 2026 commencing cycle optimization Fri May 15 18:31:45 2026 start with 133294402 relations Fri May 15 18:42:16 2026 pruned 6314183 relations Fri May 15 18:42:17 2026 memory use: 3507.8 MB Fri May 15 18:42:17 2026 distribution of cycle lengths: Fri May 15 18:42:17 2026 1 relations: 683540 Fri May 15 18:42:17 2026 2 relations: 781323 Fri May 15 18:42:17 2026 3 relations: 864806 Fri May 15 18:42:17 2026 4 relations: 874939 Fri May 15 18:42:17 2026 5 relations: 918124 Fri May 15 18:42:17 2026 6 relations: 919117 Fri May 15 18:42:17 2026 7 relations: 915272 Fri May 15 18:42:17 2026 8 relations: 906224 Fri May 15 18:42:17 2026 9 relations: 875122 Fri May 15 18:42:17 2026 10+ relations: 6016301 Fri May 15 18:42:17 2026 heaviest cycle: 28 relations Fri May 15 18:43:03 2026 RelProcTime: 11115 Fri May 15 18:43:03 2026 Fri May 15 18:43:03 2026 commencing linear algebra Fri May 15 18:43:03 2026 using VBITS=256 Fri May 15 18:43:03 2026 stopping after matrix build Fri May 15 18:43:03 2026 initialized process (0,0) of 1 x 1 grid Fri May 15 18:43:06 2026 read 13754768 cycles Fri May 15 18:44:11 2026 cycles contain 51580516 unique relations Fri May 15 18:53:42 2026 read 51580516 relations Fri May 15 18:53:53 2026 using 20 quadratic characters above 4294917295 Fri May 15 18:54:02 2026 building initial matrix Fri May 15 19:18:30 2026 memory use: 7153.0 MB Fri May 15 19:18:51 2026 read 13754768 cycles Fri May 15 19:18:55 2026 matrix is 13754591 x 13754768 (7413.6 MB) with weight 2221767688 (161.53/col) Fri May 15 19:18:55 2026 sparse part has weight 1778370003 (129.29/col) Fri May 15 19:26:39 2026 filtering completed in 2 passes Fri May 15 19:26:46 2026 matrix is 13754162 x 13754339 (7413.5 MB) with weight 2221745293 (161.53/col) Fri May 15 19:26:46 2026 sparse part has weight 1778362126 (129.29/col) Fri May 15 19:28:56 2026 BLanczosTime: 2753 Fri May 15 19:28:56 2026 elapsed time 03:51:10 Fri May 15 19:31:49 2026 Fri May 15 19:31:49 2026 Fri May 15 19:31:49 2026 Msieve v. 1.54 (SVN Unversioned directory) Fri May 15 19:31:49 2026 random seeds: 5cbb4364 36e77ccb Fri May 15 19:31:49 2026 MPI process 0 of 1 Fri May 15 19:31:49 2026 Using 64 OpenMP threads Fri May 15 19:31:49 2026 factoring 680500782994594476021117225984516397597435331714336944687455055381476861554738669297791396466095173290129001115910647571076935435936965131925871142072161287356547391302396038318467 (180 digits) Fri May 15 19:31:50 2026 searching for 15-digit factors Fri May 15 19:31:51 2026 commencing number field sieve (180-digit input) Fri May 15 19:31:51 2026 R0: -51833011469547575279943838943737171 Fri May 15 19:31:51 2026 R1: 38899114063390847043406493 Fri May 15 19:31:51 2026 A0: -42118423080442725148071212427739466001768 Fri May 15 19:31:51 2026 A1: 17816448981548595110371281577779622 Fri May 15 19:31:51 2026 A2: 10548488306260359315322068265 Fri May 15 19:31:51 2026 A3: -576358463753849442579 Fri May 15 19:31:51 2026 A4: 48327321051685 Fri May 15 19:31:51 2026 A5: 1782900 Fri May 15 19:31:51 2026 skew 11306160.68, size 1.382e-17, alpha -5.781, combined = 8.759e-14 rroots = 3 Fri May 15 19:31:51 2026 Fri May 15 19:31:51 2026 commencing linear algebra Fri May 15 19:31:51 2026 using VBITS=256 Fri May 15 19:31:51 2026 skipping matrix build Fri May 15 19:31:51 2026 initialized process (0,0) of 1 x 1 grid Fri May 15 19:32:05 2026 matrix starts at (0, 0) Fri May 15 19:32:14 2026 matrix is 13754162 x 13754339 (7413.5 MB) with weight 2221745293 (161.53/col) Fri May 15 19:32:14 2026 sparse part has weight 1778362126 (129.29/col) Fri May 15 19:32:14 2026 saving the first 240 matrix rows for later Fri May 15 19:32:19 2026 matrix includes 256 packed rows Fri May 15 19:32:24 2026 matrix is 13753922 x 13754339 (6691.5 MB) with weight 1632466366 (118.69/col) Fri May 15 19:32:24 2026 sparse part has weight 1534067947 (111.53/col) Fri May 15 19:32:24 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Fri May 15 19:32:58 2026 commencing Lanczos iteration (64 threads) Fri May 15 19:32:58 2026 memory use: 9275.7 MB Fri May 15 19:35:03 2026 linear algebra at 0.2%, ETA 15h18m Fri May 15 19:38:04 2026 checking every 10000 dimensions, checkpointing every 910000 dimensions Sat May 16 10:25:58 2026 lanczos halted after 53889 iterations (dim = 13753922) Sat May 16 10:26:41 2026 recovered 31 nontrivial dependencies Sat May 16 10:26:43 2026 BLanczosTime: 53692 Sat May 16 10:26:43 2026 Sat May 16 10:26:43 2026 commencing square root phase Sat May 16 10:26:43 2026 handling dependencies 1 to 64 Sat May 16 10:26:43 2026 reading relations for dependency 1 Sat May 16 10:26:44 2026 read 6877038 cycles Sat May 16 10:26:56 2026 cycles contain 25789486 unique relations Sat May 16 10:34:14 2026 read 25789486 relations Sat May 16 10:38:33 2026 multiplying 25789486 relations Sat May 16 10:44:12 2026 multiply complete, coefficients have about 1527.07 million bits Sat May 16 10:44:20 2026 initial square root is modulo 7080077 Sat May 16 11:04:33 2026 GCD is 1, no factor found Sat May 16 11:04:33 2026 reading relations for dependency 2 Sat May 16 11:04:37 2026 read 6879638 cycles Sat May 16 11:05:10 2026 cycles contain 25791644 unique relations Sat May 16 11:14:41 2026 read 25791644 relations Sat May 16 11:18:58 2026 multiplying 25791644 relations Sat May 16 11:24:21 2026 multiply complete, coefficients have about 1527.20 million bits Sat May 16 11:24:28 2026 initial square root is modulo 7089209 Sat May 16 11:46:15 2026 GCD is 1, no factor found Sat May 16 11:46:15 2026 reading relations for dependency 3 Sat May 16 11:46:19 2026 read 6874552 cycles Sat May 16 11:47:02 2026 cycles contain 25784136 unique relations Sat May 16 11:57:06 2026 read 25784136 relations Sat May 16 12:02:06 2026 multiplying 25784136 relations Sat May 16 12:07:38 2026 multiply complete, coefficients have about 1526.76 million bits Sat May 16 12:07:47 2026 initial square root is modulo 7057201 Sat May 16 12:29:45 2026 sqrtTime: 7382 Sat May 16 12:29:45 2026 p76 factor: 7813140101873437881348865331084151760371085131122608812000528461439087791873 Sat May 16 12:29:45 2026 p104 factor: 87096964104281673397572071378672730863940805597107711748567926948359370023292231881286257926605114088579 Sat May 16 12:29:45 2026 elapsed time 16:57:56