Thu Dec 11 10:27:33 2025 Thu Dec 11 10:27:33 2025 Thu Dec 11 10:27:33 2025 Msieve v. 1.54 (SVN unknown) Thu Dec 11 10:27:33 2025 random seeds: d28f8791 85479f4f Thu Dec 11 10:27:33 2025 factoring 616136096539798287218874147672019638954931720264664047197606867766950029548015865742409661256331146817818643713347974222811049073431886539891250991092386700572370706815748290111234883427167887459554881 (201 digits) Thu Dec 11 10:27:34 2025 no P-1/P+1/ECM available, skipping Thu Dec 11 10:27:34 2025 commencing number field sieve (201-digit input) Thu Dec 11 10:27:34 2025 R0: 811804003166323508017246785410055469648937042 Thu Dec 11 10:27:34 2025 R1: -28492174419765219246071 Thu Dec 11 10:27:34 2025 A0: 1 Thu Dec 11 10:27:34 2025 A1: 3 Thu Dec 11 10:27:34 2025 A2: -3 Thu Dec 11 10:27:34 2025 A3: -4 Thu Dec 11 10:27:34 2025 A4: 1 Thu Dec 11 10:27:34 2025 A5: 1 Thu Dec 11 10:27:34 2025 skew 1.47, size 2.727e-15, alpha 2.379, combined = 1.835e-12 rroots = 5 Thu Dec 11 10:27:34 2025 Thu Dec 11 10:27:34 2025 commencing relation filtering Thu Dec 11 10:27:34 2025 setting target matrix density to 108.0 Thu Dec 11 10:27:34 2025 estimated available RAM is 7902.4 MB Thu Dec 11 10:27:34 2025 commencing duplicate removal, pass 1 Thu Dec 11 10:41:25 2025 skipped 22 relations with b > 2^32 Thu Dec 11 10:41:25 2025 found 5257188 hash collisions in 109890261 relations Thu Dec 11 10:41:25 2025 commencing duplicate removal, pass 2 Thu Dec 11 10:42:10 2025 found 0 duplicates and 109890261 unique relations Thu Dec 11 10:42:10 2025 memory use: 378.4 MB Thu Dec 11 10:42:10 2025 reading ideals above 59965440 Thu Dec 11 10:42:10 2025 commencing singleton removal, initial pass Thu Dec 11 10:52:32 2025 memory use: 2756.0 MB Thu Dec 11 10:52:32 2025 reading all ideals from disk Thu Dec 11 10:52:36 2025 memory use: 2039.6 MB Thu Dec 11 10:52:42 2025 commencing in-memory singleton removal Thu Dec 11 10:52:47 2025 begin with 109890261 relations and 86235846 unique ideals Thu Dec 11 10:53:40 2025 reduce to 79628506 relations and 53414275 ideals in 12 passes Thu Dec 11 10:53:40 2025 max relations containing the same ideal: 68 Thu Dec 11 10:53:45 2025 reading ideals above 720000 Thu Dec 11 10:53:45 2025 commencing singleton removal, initial pass Thu Dec 11 11:03:13 2025 memory use: 1506.0 MB Thu Dec 11 11:03:13 2025 reading all ideals from disk Thu Dec 11 11:03:20 2025 memory use: 2967.5 MB Thu Dec 11 11:03:26 2025 keeping 60147928 ideals with weight <= 200, target excess is 386905 Thu Dec 11 11:03:34 2025 commencing in-memory singleton removal Thu Dec 11 11:03:39 2025 begin with 79628506 relations and 60147928 unique ideals Thu Dec 11 11:03:49 2025 reduce to 79628504 relations and 60147926 ideals in 2 passes Thu Dec 11 11:03:49 2025 max relations containing the same ideal: 200 Thu Dec 11 11:04:20 2025 removing 7837609 relations and 5837609 ideals in 2000000 cliques Thu Dec 11 11:04:24 2025 commencing in-memory singleton removal Thu Dec 11 11:04:30 2025 begin with 71790895 relations and 60147926 unique ideals Thu Dec 11 11:05:08 2025 reduce to 71124533 relations and 53622691 ideals in 7 passes Thu Dec 11 11:05:08 2025 max relations containing the same ideal: 193 Thu Dec 11 11:05:39 2025 removing 6350423 relations and 4350423 ideals in 2000000 cliques Thu Dec 11 11:05:42 2025 commencing in-memory singleton removal Thu Dec 11 11:05:48 2025 begin with 64774110 relations and 53622691 unique ideals Thu Dec 11 11:06:22 2025 reduce to 64313702 relations and 48798547 ideals in 7 passes Thu Dec 11 11:06:22 2025 max relations containing the same ideal: 183 Thu Dec 11 11:06:50 2025 removing 5941688 relations and 3941688 ideals in 2000000 cliques Thu Dec 11 11:06:53 2025 commencing in-memory singleton removal Thu Dec 11 11:06:58 2025 begin with 58372014 relations and 48798547 unique ideals Thu Dec 11 11:07:25 2025 reduce to 57953395 relations and 44425967 ideals in 6 passes Thu Dec 11 11:07:25 2025 max relations containing the same ideal: 175 Thu Dec 11 11:07:51 2025 removing 5740989 relations and 3740989 ideals in 2000000 cliques Thu Dec 11 11:07:54 2025 commencing in-memory singleton removal Thu Dec 11 11:07:58 2025 begin with 52212406 relations and 44425967 unique ideals Thu Dec 11 11:08:25 2025 reduce to 51799389 relations and 40258811 ideals in 7 passes Thu Dec 11 11:08:25 2025 max relations containing the same ideal: 159 Thu Dec 11 11:08:47 2025 removing 5632892 relations and 3632892 ideals in 2000000 cliques Thu Dec 11 11:08:50 2025 commencing in-memory singleton removal Thu Dec 11 11:08:54 2025 begin with 46166497 relations and 40258811 unique ideals Thu Dec 11 11:09:17 2025 reduce to 45737783 relations and 36182210 ideals in 7 passes Thu Dec 11 11:09:17 2025 max relations containing the same ideal: 149 Thu Dec 11 11:09:37 2025 removing 5579380 relations and 3579380 ideals in 2000000 cliques Thu Dec 11 11:09:40 2025 commencing in-memory singleton removal Thu Dec 11 11:09:43 2025 begin with 40158403 relations and 36182210 unique ideals Thu Dec 11 11:10:07 2025 reduce to 39688265 relations and 32114484 ideals in 8 passes Thu Dec 11 11:10:07 2025 max relations containing the same ideal: 142 Thu Dec 11 11:10:25 2025 removing 5569572 relations and 3569572 ideals in 2000000 cliques Thu Dec 11 11:10:27 2025 commencing in-memory singleton removal Thu Dec 11 11:10:30 2025 begin with 34118693 relations and 32114484 unique ideals Thu Dec 11 11:10:47 2025 reduce to 33581622 relations and 27984163 ideals in 7 passes Thu Dec 11 11:10:47 2025 max relations containing the same ideal: 119 Thu Dec 11 11:11:02 2025 removing 5600117 relations and 3600117 ideals in 2000000 cliques Thu Dec 11 11:11:05 2025 commencing in-memory singleton removal Thu Dec 11 11:11:07 2025 begin with 27981505 relations and 27984163 unique ideals Thu Dec 11 11:11:22 2025 reduce to 27334677 relations and 23703646 ideals in 8 passes Thu Dec 11 11:11:22 2025 max relations containing the same ideal: 104 Thu Dec 11 11:11:35 2025 removing 5671709 relations and 3671709 ideals in 2000000 cliques Thu Dec 11 11:11:37 2025 commencing in-memory singleton removal Thu Dec 11 11:11:39 2025 begin with 21662968 relations and 23703646 unique ideals Thu Dec 11 11:11:51 2025 reduce to 20829093 relations and 19144211 ideals in 8 passes Thu Dec 11 11:11:51 2025 max relations containing the same ideal: 89 Thu Dec 11 11:12:01 2025 removing 3922244 relations and 2686172 ideals in 1236072 cliques Thu Dec 11 11:12:02 2025 commencing in-memory singleton removal Thu Dec 11 11:12:04 2025 begin with 16906849 relations and 19144211 unique ideals Thu Dec 11 11:12:13 2025 reduce to 16313362 relations and 15831124 ideals in 8 passes Thu Dec 11 11:12:13 2025 max relations containing the same ideal: 77 Thu Dec 11 11:12:20 2025 removing 216741 relations and 183313 ideals in 33428 cliques Thu Dec 11 11:12:21 2025 commencing in-memory singleton removal Thu Dec 11 11:12:23 2025 begin with 16096621 relations and 15831124 unique ideals Thu Dec 11 11:12:28 2025 reduce to 16094305 relations and 15645490 ideals in 5 passes Thu Dec 11 11:12:28 2025 max relations containing the same ideal: 77 Thu Dec 11 11:12:31 2025 relations with 0 large ideals: 32197 Thu Dec 11 11:12:31 2025 relations with 1 large ideals: 4978 Thu Dec 11 11:12:31 2025 relations with 2 large ideals: 60690 Thu Dec 11 11:12:31 2025 relations with 3 large ideals: 409093 Thu Dec 11 11:12:31 2025 relations with 4 large ideals: 1497859 Thu Dec 11 11:12:31 2025 relations with 5 large ideals: 3228193 Thu Dec 11 11:12:31 2025 relations with 6 large ideals: 4857446 Thu Dec 11 11:12:31 2025 relations with 7+ large ideals: 6003849 Thu Dec 11 11:12:31 2025 commencing 2-way merge Thu Dec 11 11:12:42 2025 reduce to 10577784 relation sets and 10128969 unique ideals Thu Dec 11 11:12:42 2025 commencing full merge Thu Dec 11 11:17:35 2025 memory use: 1411.5 MB Thu Dec 11 11:17:36 2025 found 4862020 cycles, need 4851169 Thu Dec 11 11:17:38 2025 weight of 4851169 cycles is about 524303701 (108.08/cycle) Thu Dec 11 11:17:38 2025 distribution of cycle lengths: Thu Dec 11 11:17:38 2025 1 relations: 258782 Thu Dec 11 11:17:38 2025 2 relations: 325699 Thu Dec 11 11:17:38 2025 3 relations: 357049 Thu Dec 11 11:17:38 2025 4 relations: 358808 Thu Dec 11 11:17:38 2025 5 relations: 361617 Thu Dec 11 11:17:38 2025 6 relations: 355830 Thu Dec 11 11:17:38 2025 7 relations: 345238 Thu Dec 11 11:17:38 2025 8 relations: 325084 Thu Dec 11 11:17:38 2025 9 relations: 302709 Thu Dec 11 11:17:38 2025 10+ relations: 1860353 Thu Dec 11 11:17:38 2025 heaviest cycle: 28 relations Thu Dec 11 11:17:40 2025 commencing cycle optimization Thu Dec 11 11:17:51 2025 start with 42284328 relations Thu Dec 11 11:19:36 2025 pruned 1992026 relations Thu Dec 11 11:19:36 2025 memory use: 1101.0 MB Thu Dec 11 11:19:36 2025 distribution of cycle lengths: Thu Dec 11 11:19:36 2025 1 relations: 258782 Thu Dec 11 11:19:36 2025 2 relations: 332061 Thu Dec 11 11:19:36 2025 3 relations: 370500 Thu Dec 11 11:19:36 2025 4 relations: 373144 Thu Dec 11 11:19:36 2025 5 relations: 380044 Thu Dec 11 11:19:36 2025 6 relations: 373407 Thu Dec 11 11:19:36 2025 7 relations: 363341 Thu Dec 11 11:19:36 2025 8 relations: 341829 Thu Dec 11 11:19:36 2025 9 relations: 317199 Thu Dec 11 11:19:36 2025 10+ relations: 1740862 Thu Dec 11 11:19:36 2025 heaviest cycle: 28 relations Thu Dec 11 11:19:48 2025 RelProcTime: 3134 Thu Dec 11 11:19:48 2025 elapsed time 00:52:15 Thu Dec 11 12:51:56 2025 Thu Dec 11 12:51:56 2025 Thu Dec 11 12:51:56 2025 Msieve v. 1.54 (SVN unknown) Thu Dec 11 12:51:56 2025 random seeds: a04fbeee 0c37dae1 Thu Dec 11 12:51:56 2025 factoring 616136096539798287218874147672019638954931720264664047197606867766950029548015865742409661256331146817818643713347974222811049073431886539891250991092386700572370706815748290111234883427167887459554881 (201 digits) Thu Dec 11 12:51:57 2025 no P-1/P+1/ECM available, skipping Thu Dec 11 12:51:57 2025 commencing number field sieve (201-digit input) Thu Dec 11 12:51:57 2025 R0: 811804003166323508017246785410055469648937042 Thu Dec 11 12:51:57 2025 R1: -28492174419765219246071 Thu Dec 11 12:51:57 2025 A0: 1 Thu Dec 11 12:51:57 2025 A1: 3 Thu Dec 11 12:51:57 2025 A2: -3 Thu Dec 11 12:51:57 2025 A3: -4 Thu Dec 11 12:51:57 2025 A4: 1 Thu Dec 11 12:51:57 2025 A5: 1 Thu Dec 11 12:51:57 2025 skew 1.47, size 2.727e-15, alpha 2.379, combined = 1.835e-12 rroots = 5 Thu Dec 11 12:51:57 2025 Thu Dec 11 12:51:57 2025 commencing linear algebra Thu Dec 11 12:51:57 2025 using VBITS=512 Thu Dec 11 12:51:58 2025 read 4851169 cycles Thu Dec 11 12:52:09 2025 cycles contain 15845893 unique relations Thu Dec 11 12:53:51 2025 read 15845893 relations Thu Dec 11 12:54:19 2025 using 20 quadratic characters above 4294917295 Thu Dec 11 12:55:44 2025 building initial matrix Thu Dec 11 12:59:07 2025 memory use: 1915.1 MB Thu Dec 11 12:59:09 2025 read 4851169 cycles Thu Dec 11 12:59:10 2025 matrix is 4850992 x 4851169 (2075.1 MB) with weight 593282172 (122.30/col) Thu Dec 11 12:59:10 2025 sparse part has weight 490600009 (101.13/col) Thu Dec 11 13:00:17 2025 filtering completed in 2 passes Thu Dec 11 13:00:18 2025 matrix is 4850867 x 4851005 (2075.0 MB) with weight 593277254 (122.30/col) Thu Dec 11 13:00:18 2025 sparse part has weight 490598248 (101.13/col) Thu Dec 11 13:00:33 2025 matrix starts at (0, 0) Thu Dec 11 13:00:34 2025 matrix is 4850867 x 4851005 (2075.0 MB) with weight 593277254 (122.30/col) Thu Dec 11 13:00:34 2025 sparse part has weight 490598248 (101.13/col) Thu Dec 11 13:00:34 2025 saving the first 496 matrix rows for later Thu Dec 11 13:00:36 2025 matrix includes 512 packed rows Thu Dec 11 13:00:39 2025 matrix is 4850371 x 4851005 (1962.1 MB) with weight 421408143 (86.87/col) Thu Dec 11 13:00:39 2025 sparse part has weight 397917106 (82.03/col) Thu Dec 11 13:00:40 2025 using GPU 0 (NVIDIA GeForce RTX 3060) Thu Dec 11 13:00:40 2025 selected card has CUDA arch 8.6 Thu Dec 11 13:01:27 2025 commencing Lanczos iteration Thu Dec 11 13:01:27 2025 memory use: 5478.6 MB Thu Dec 11 13:02:06 2025 linear algebra at 0.3%, ETA 3h19m Thu Dec 11 13:02:07 2025 checkpointing every 1470000 dimensions Thu Dec 11 14:35:59 2025 lanczos halted after 9489 iterations (dim = 4850369) Thu Dec 11 14:37:32 2025 recovered 34 nontrivial dependencies Thu Dec 11 14:37:32 2025 BLanczosTime: 6335 Thu Dec 11 14:37:32 2025 Thu Dec 11 14:37:32 2025 commencing square root phase Thu Dec 11 14:37:32 2025 handling dependencies 1 to 64 Thu Dec 11 14:37:32 2025 reading relations for dependency 1 Thu Dec 11 14:37:34 2025 read 2424493 cycles Thu Dec 11 14:37:39 2025 cycles contain 7919334 unique relations Thu Dec 11 14:38:43 2025 read 7919334 relations Thu Dec 11 14:39:23 2025 multiplying 7919334 relations Thu Dec 11 14:42:40 2025 multiply complete, coefficients have about 193.99 million bits Thu Dec 11 14:42:41 2025 initial square root is modulo 9158593 Thu Dec 11 14:46:44 2025 GCD is 1, no factor found Thu Dec 11 14:46:44 2025 reading relations for dependency 2 Thu Dec 11 14:46:45 2025 read 2424481 cycles Thu Dec 11 14:46:50 2025 cycles contain 7920964 unique relations Thu Dec 11 14:47:49 2025 read 7920964 relations Thu Dec 11 14:48:25 2025 multiplying 7920964 relations Thu Dec 11 14:51:33 2025 multiply complete, coefficients have about 194.02 million bits Thu Dec 11 14:51:34 2025 initial square root is modulo 9184309 Thu Dec 11 14:55:25 2025 sqrtTime: 1073 Thu Dec 11 14:55:25 2025 p101 factor: 16133605143487725704521226129305071862825632796193489791654129567072383609867743695428134100916437557 Thu Dec 11 14:55:25 2025 p101 factor: 38189610509248114708732455406022741661538530876103038526228633302014573010517231985622047172040541533 Thu Dec 11 14:55:25 2025 elapsed time 02:03:29