Thu Aug 27 16:09:17 2026 Thu Aug 27 16:09:17 2026 Thu Aug 27 16:09:17 2026 Msieve v. 1.54 (SVN Unversioned directory) Thu Aug 27 16:09:17 2026 random seeds: f7ed482a b3f0e8ef Thu Aug 27 16:09:17 2026 MPI process 0 of 1 Thu Aug 27 16:09:17 2026 Using 32 OpenMP threads Thu Aug 27 16:09:17 2026 factoring 268982762773847524540954199190720157284883875464278615200455654657270055801001632672553832903672798375622073253089837823978410905449356251293509007895802709570959 (162 digits) Thu Aug 27 16:09:17 2026 searching for 15-digit factors Thu Aug 27 16:09:18 2026 commencing number field sieve (162-digit input) Thu Aug 27 16:09:18 2026 R0: -5621076391062943003962169874389 Thu Aug 27 16:09:18 2026 R1: 1990994304723912117498271 Thu Aug 27 16:09:18 2026 A0: 2817739969750368783354940691247749327280 Thu Aug 27 16:09:18 2026 A1: 3902892964909226615974845048098772 Thu Aug 27 16:09:18 2026 A2: -421481989773544101530176768 Thu Aug 27 16:09:18 2026 A3: -101573980499112567619 Thu Aug 27 16:09:18 2026 A4: 5490691621830 Thu Aug 27 16:09:18 2026 A5: 320040 Thu Aug 27 16:09:18 2026 skew 6191701.59, size 1.063e-15, alpha -7.870, combined = 1.173e-12 rroots = 5 Thu Aug 27 16:09:18 2026 Thu Aug 27 16:09:18 2026 commencing relation filtering Thu Aug 27 16:09:18 2026 setting target matrix density to 130.0 Thu Aug 27 16:09:18 2026 estimated available RAM is 257736.5 MB Thu Aug 27 16:09:18 2026 commencing duplicate removal, pass 1 Thu Aug 27 16:14:35 2026 skipped 82 malformed relations Thu Aug 27 16:14:35 2026 found 20222608 hash collisions in 129939627 relations Thu Aug 27 16:15:13 2026 added 122386 free relations Thu Aug 27 16:15:13 2026 commencing duplicate removal, pass 2 Thu Aug 27 16:19:06 2026 found 19616289 duplicates and 110445724 unique relations Thu Aug 27 16:19:06 2026 memory use: 788.8 MB Thu Aug 27 16:19:06 2026 reading ideals above 720000 Thu Aug 27 16:19:06 2026 commencing singleton removal, initial pass Thu Aug 27 16:30:27 2026 memory use: 3012.0 MB Thu Aug 27 16:30:27 2026 reading all ideals from disk Thu Aug 27 16:30:30 2026 memory use: 4923.3 MB Thu Aug 27 16:30:48 2026 keeping 111452643 ideals with weight <= 200, target excess is 589819 Thu Aug 27 16:31:12 2026 commencing in-memory singleton removal Thu Aug 27 16:31:13 2026 begin with 110445724 relations and 111452643 unique ideals Thu Aug 27 16:31:23 2026 reduce to 52185070 relations and 45042087 ideals in 18 passes Thu Aug 27 16:31:23 2026 max relations containing the same ideal: 123 Thu Aug 27 16:31:55 2026 removing 6511060 relations and 5511061 ideals in 1000000 cliques Thu Aug 27 16:31:58 2026 commencing in-memory singleton removal Thu Aug 27 16:31:59 2026 begin with 45674010 relations and 45042087 unique ideals Thu Aug 27 16:32:02 2026 reduce to 45083517 relations and 38926425 ideals in 10 passes Thu Aug 27 16:32:02 2026 max relations containing the same ideal: 112 Thu Aug 27 16:32:30 2026 removing 4924646 relations and 3924646 ideals in 1000000 cliques Thu Aug 27 16:32:32 2026 commencing in-memory singleton removal Thu Aug 27 16:32:33 2026 begin with 40158871 relations and 38926425 unique ideals Thu Aug 27 16:32:36 2026 reduce to 39755333 relations and 34589399 ideals in 10 passes Thu Aug 27 16:32:36 2026 max relations containing the same ideal: 104 Thu Aug 27 16:33:01 2026 removing 4438680 relations and 3438680 ideals in 1000000 cliques Thu Aug 27 16:33:04 2026 commencing in-memory singleton removal Thu Aug 27 16:33:04 2026 begin with 35316653 relations and 34589399 unique ideals Thu Aug 27 16:33:07 2026 reduce to 34946458 relations and 30771995 ideals in 9 passes Thu Aug 27 16:33:07 2026 max relations containing the same ideal: 95 Thu Aug 27 16:33:28 2026 removing 4192543 relations and 3192543 ideals in 1000000 cliques Thu Aug 27 16:33:30 2026 commencing in-memory singleton removal Thu Aug 27 16:33:31 2026 begin with 30753915 relations and 30771995 unique ideals Thu Aug 27 16:33:33 2026 reduce to 30387404 relations and 27203558 ideals in 9 passes Thu Aug 27 16:33:33 2026 max relations containing the same ideal: 88 Thu Aug 27 16:33:51 2026 removing 4040878 relations and 3040878 ideals in 1000000 cliques Thu Aug 27 16:33:53 2026 commencing in-memory singleton removal Thu Aug 27 16:33:54 2026 begin with 26346526 relations and 27203558 unique ideals Thu Aug 27 16:33:55 2026 reduce to 25961989 relations and 23767367 ideals in 10 passes Thu Aug 27 16:33:55 2026 max relations containing the same ideal: 80 Thu Aug 27 16:34:12 2026 removing 3937847 relations and 2937847 ideals in 1000000 cliques Thu Aug 27 16:34:14 2026 commencing in-memory singleton removal Thu Aug 27 16:34:14 2026 begin with 22024142 relations and 23767367 unique ideals Thu Aug 27 16:34:15 2026 reduce to 21604042 relations and 20395492 ideals in 8 passes Thu Aug 27 16:34:15 2026 max relations containing the same ideal: 72 Thu Aug 27 16:34:29 2026 removing 2339505 relations and 1815146 ideals in 524359 cliques Thu Aug 27 16:34:30 2026 commencing in-memory singleton removal Thu Aug 27 16:34:30 2026 begin with 19264537 relations and 20395492 unique ideals Thu Aug 27 16:34:32 2026 reduce to 19102807 relations and 18415262 ideals in 8 passes Thu Aug 27 16:34:32 2026 max relations containing the same ideal: 65 Thu Aug 27 16:34:47 2026 relations with 0 large ideals: 2029 Thu Aug 27 16:34:47 2026 relations with 1 large ideals: 14524 Thu Aug 27 16:34:47 2026 relations with 2 large ideals: 188471 Thu Aug 27 16:34:47 2026 relations with 3 large ideals: 1047881 Thu Aug 27 16:34:47 2026 relations with 4 large ideals: 3035862 Thu Aug 27 16:34:47 2026 relations with 5 large ideals: 5059506 Thu Aug 27 16:34:47 2026 relations with 6 large ideals: 5118387 Thu Aug 27 16:34:47 2026 relations with 7+ large ideals: 4636147 Thu Aug 27 16:34:47 2026 commencing 2-way merge Thu Aug 27 16:35:07 2026 reduce to 11677492 relation sets and 10989946 unique ideals Thu Aug 27 16:35:07 2026 commencing full merge Thu Aug 27 16:42:05 2026 memory use: 1411.8 MB Thu Aug 27 16:42:06 2026 found 5174168 cycles, need 5138146 Thu Aug 27 16:42:09 2026 weight of 5138146 cycles is about 667975002 (130.00/cycle) Thu Aug 27 16:42:09 2026 distribution of cycle lengths: Thu Aug 27 16:42:09 2026 1 relations: 186007 Thu Aug 27 16:42:09 2026 2 relations: 297053 Thu Aug 27 16:42:09 2026 3 relations: 345469 Thu Aug 27 16:42:09 2026 4 relations: 355502 Thu Aug 27 16:42:09 2026 5 relations: 364399 Thu Aug 27 16:42:09 2026 6 relations: 359354 Thu Aug 27 16:42:09 2026 7 relations: 349652 Thu Aug 27 16:42:09 2026 8 relations: 338916 Thu Aug 27 16:42:09 2026 9 relations: 320431 Thu Aug 27 16:42:09 2026 10+ relations: 2221363 Thu Aug 27 16:42:09 2026 heaviest cycle: 28 relations Thu Aug 27 16:42:11 2026 commencing cycle optimization Thu Aug 27 16:42:28 2026 start with 47933029 relations Thu Aug 27 16:45:18 2026 pruned 2095049 relations Thu Aug 27 16:45:18 2026 memory use: 1274.8 MB Thu Aug 27 16:45:18 2026 distribution of cycle lengths: Thu Aug 27 16:45:18 2026 1 relations: 186007 Thu Aug 27 16:45:18 2026 2 relations: 305031 Thu Aug 27 16:45:18 2026 3 relations: 360530 Thu Aug 27 16:45:18 2026 4 relations: 370036 Thu Aug 27 16:45:18 2026 5 relations: 381852 Thu Aug 27 16:45:18 2026 6 relations: 375622 Thu Aug 27 16:45:18 2026 7 relations: 367108 Thu Aug 27 16:45:18 2026 8 relations: 353073 Thu Aug 27 16:45:18 2026 9 relations: 334982 Thu Aug 27 16:45:18 2026 10+ relations: 2103905 Thu Aug 27 16:45:18 2026 heaviest cycle: 28 relations Thu Aug 27 16:45:30 2026 RelProcTime: 2172 Thu Aug 27 16:45:30 2026 Thu Aug 27 16:45:30 2026 commencing linear algebra Thu Aug 27 16:45:30 2026 using VBITS=256 Thu Aug 27 16:45:30 2026 stopping after matrix build Thu Aug 27 16:45:30 2026 initialized process (0,0) of 1 x 1 grid Thu Aug 27 16:45:31 2026 read 5138146 cycles Thu Aug 27 16:45:46 2026 cycles contain 18652789 unique relations Thu Aug 27 16:48:36 2026 read 18652789 relations Thu Aug 27 16:48:38 2026 using 20 quadratic characters above 4294917295 Thu Aug 27 16:48:41 2026 building initial matrix Thu Aug 27 16:55:01 2026 memory use: 2612.9 MB Thu Aug 27 16:55:08 2026 read 5138146 cycles Thu Aug 27 16:55:09 2026 matrix is 5137968 x 5138146 (2598.3 MB) with weight 794729820 (154.67/col) Thu Aug 27 16:55:09 2026 sparse part has weight 619459308 (120.56/col) Thu Aug 27 16:56:21 2026 filtering completed in 2 passes Thu Aug 27 16:56:22 2026 matrix is 5137811 x 5137985 (2598.2 MB) with weight 794720435 (154.68/col) Thu Aug 27 16:56:22 2026 sparse part has weight 619455626 (120.56/col) Thu Aug 27 16:56:51 2026 BLanczosTime: 681 Thu Aug 27 16:56:51 2026 elapsed time 00:47:34 Thu Aug 27 16:57:28 2026 Thu Aug 27 16:57:28 2026 Thu Aug 27 16:57:28 2026 Msieve v. 1.54 (SVN Unversioned directory) Thu Aug 27 16:57:28 2026 random seeds: 79c30988 42e484d0 Thu Aug 27 16:57:28 2026 MPI process 0 of 1 Thu Aug 27 16:57:28 2026 Using 64 OpenMP threads Thu Aug 27 16:57:28 2026 factoring 268982762773847524540954199190720157284883875464278615200455654657270055801001632672553832903672798375622073253089837823978410905449356251293509007895802709570959 (162 digits) Thu Aug 27 16:57:29 2026 searching for 15-digit factors Thu Aug 27 16:57:29 2026 commencing number field sieve (162-digit input) Thu Aug 27 16:57:29 2026 R0: -5621076391062943003962169874389 Thu Aug 27 16:57:29 2026 R1: 1990994304723912117498271 Thu Aug 27 16:57:29 2026 A0: 2817739969750368783354940691247749327280 Thu Aug 27 16:57:29 2026 A1: 3902892964909226615974845048098772 Thu Aug 27 16:57:29 2026 A2: -421481989773544101530176768 Thu Aug 27 16:57:29 2026 A3: -101573980499112567619 Thu Aug 27 16:57:29 2026 A4: 5490691621830 Thu Aug 27 16:57:29 2026 A5: 320040 Thu Aug 27 16:57:29 2026 skew 6191701.59, size 1.063e-15, alpha -7.870, combined = 1.173e-12 rroots = 5 Thu Aug 27 16:57:29 2026 Thu Aug 27 16:57:29 2026 commencing linear algebra Thu Aug 27 16:57:29 2026 using VBITS=256 Thu Aug 27 16:57:29 2026 skipping matrix build Thu Aug 27 16:57:29 2026 initialized process (0,0) of 1 x 1 grid Thu Aug 27 16:57:32 2026 matrix starts at (0, 0) Thu Aug 27 16:57:32 2026 matrix is 5137811 x 5137985 (2598.2 MB) with weight 794720435 (154.68/col) Thu Aug 27 16:57:32 2026 sparse part has weight 619455626 (120.56/col) Thu Aug 27 16:57:32 2026 saving the first 240 matrix rows for later Thu Aug 27 16:57:34 2026 matrix includes 256 packed rows Thu Aug 27 16:57:37 2026 matrix is 5137571 x 5137985 (2301.5 MB) with weight 561720262 (109.33/col) Thu Aug 27 16:57:37 2026 sparse part has weight 521105195 (101.42/col) Thu Aug 27 16:57:37 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Thu Aug 27 16:57:53 2026 commencing Lanczos iteration (64 threads) Thu Aug 27 16:57:53 2026 memory use: 3249.1 MB Thu Aug 27 16:58:34 2026 linear algebra at 0.6%, ETA 1h54m Thu Aug 27 16:59:32 2026 checking every 40000 dimensions, checkpointing every 2800000 dimensions Thu Aug 27 18:47:32 2026 lanczos halted after 20131 iterations (dim = 5137569) Thu Aug 27 18:47:57 2026 recovered 28 nontrivial dependencies Thu Aug 27 18:47:58 2026 BLanczosTime: 6629 Thu Aug 27 18:47:58 2026 Thu Aug 27 18:47:58 2026 commencing square root phase Thu Aug 27 18:47:58 2026 handling dependencies 1 to 64 Thu Aug 27 18:47:58 2026 reading relations for dependency 1 Thu Aug 27 18:47:59 2026 read 2570381 cycles Thu Aug 27 18:48:08 2026 cycles contain 9332352 unique relations Thu Aug 27 18:51:02 2026 read 9332352 relations Thu Aug 27 18:52:08 2026 multiplying 9332352 relations Thu Aug 27 18:53:54 2026 multiply complete, coefficients have about 514.63 million bits Thu Aug 27 18:53:56 2026 initial square root is modulo 1714222171 Thu Aug 27 18:59:12 2026 GCD is N, no factor found Thu Aug 27 18:59:12 2026 reading relations for dependency 2 Thu Aug 27 18:59:13 2026 read 2567564 cycles Thu Aug 27 18:59:22 2026 cycles contain 9322136 unique relations Thu Aug 27 19:02:10 2026 read 9322136 relations Thu Aug 27 19:03:08 2026 multiplying 9322136 relations Thu Aug 27 19:04:44 2026 multiply complete, coefficients have about 514.06 million bits Thu Aug 27 19:04:46 2026 initial square root is modulo 1674526153 Thu Aug 27 19:09:53 2026 sqrtTime: 1315 Thu Aug 27 19:09:53 2026 p71 factor: 21848088062454045770964290203806040542912512073195005273178049993399379 Thu Aug 27 19:09:53 2026 p92 factor: 12311501217174906289933930678321034491760961371866502391652449984736239865296175440408296021 Thu Aug 27 19:09:53 2026 elapsed time 02:12:25