Thu Jun 11 15:10:21 2026 Msieve v. 1.54 (SVN Unversioned directory) Thu Jun 11 15:10:21 2026 random seeds: 0d27dbf0 27a5858c Thu Jun 11 15:10:21 2026 Using 8 OpenMP threads Thu Jun 11 15:10:21 2026 factoring 588215267058963953623088921480775047178067239853220544384838502061584032923883519259398878819555161606246083931670556165237102291529876341651495361163795157287043799 (165 digits) Thu Jun 11 15:10:21 2026 no P-1/P+1/ECM available, skipping Thu Jun 11 15:10:21 2026 commencing number field sieve (165-digit input) Thu Jun 11 15:10:21 2026 R0: -163460632708592010058639772664175 Thu Jun 11 15:10:21 2026 R1: 217897520499674074277 Thu Jun 11 15:10:21 2026 A0: 265796228301617720272298349622374876096 Thu Jun 11 15:10:21 2026 A1: 82636336133239047714929845762484 Thu Jun 11 15:10:21 2026 A2: -59464658391700677345845226 Thu Jun 11 15:10:21 2026 A3: 801350932278917779 Thu Jun 11 15:10:21 2026 A4: 1041549154878 Thu Jun 11 15:10:21 2026 A5: 15120 Thu Jun 11 15:10:21 2026 skew 6163744.69, size 7.036e-16, alpha -6.322, combined = 9.483e-13 rroots = 5 Thu Jun 11 15:10:21 2026 Thu Jun 11 15:10:21 2026 commencing relation filtering Thu Jun 11 15:10:21 2026 setting target matrix density to 104.0 Thu Jun 11 15:10:21 2026 estimated available RAM is 31871.6 MB Thu Jun 11 15:10:21 2026 commencing duplicate removal, pass 1 Thu Jun 11 15:10:24 2026 error -1 reading relation 3082002 Thu Jun 11 15:10:41 2026 error -1 reading relation 23028683 Thu Jun 11 15:10:45 2026 error -1 reading relation 28299887 Thu Jun 11 15:10:59 2026 error -1 reading relation 44347187 Thu Jun 11 15:10:59 2026 error -15 reading relation 44591149 Thu Jun 11 15:10:59 2026 error -1 reading relation 44811998 Thu Jun 11 15:11:06 2026 error -1 reading relation 53055669 Thu Jun 11 15:11:16 2026 error -1 reading relation 64301003 Thu Jun 11 15:11:35 2026 error -1 reading relation 86737342 Thu Jun 11 15:11:59 2026 error -1 reading relation 114176398 Thu Jun 11 15:12:12 2026 skipped 56 malformed relations Thu Jun 11 15:12:12 2026 found 20242504 hash collisions in 129019737 relations Thu Jun 11 15:12:27 2026 added 121400 free relations Thu Jun 11 15:12:27 2026 commencing duplicate removal, pass 2 Thu Jun 11 15:12:57 2026 found 17178427 duplicates and 111962710 unique relations Thu Jun 11 15:12:57 2026 memory use: 660.8 MB Thu Jun 11 15:12:57 2026 reading ideals above 720000 Thu Jun 11 15:12:57 2026 commencing singleton removal, initial pass Thu Jun 11 15:15:52 2026 memory use: 3012.0 MB Thu Jun 11 15:15:52 2026 reading all ideals from disk Thu Jun 11 15:15:54 2026 memory use: 5080.7 MB Thu Jun 11 15:16:01 2026 keeping 114119628 ideals with weight <= 200, target excess is 592928 Thu Jun 11 15:16:08 2026 commencing in-memory singleton removal Thu Jun 11 15:16:11 2026 begin with 111962710 relations and 114119628 unique ideals Thu Jun 11 15:16:24 2026 reduce to 53074428 relations and 47069388 ideals in 17 passes Thu Jun 11 15:16:24 2026 max relations containing the same ideal: 128 Thu Jun 11 15:16:38 2026 removing 6755113 relations and 5755113 ideals in 1000000 cliques Thu Jun 11 15:16:40 2026 commencing in-memory singleton removal Thu Jun 11 15:16:41 2026 begin with 46319315 relations and 47069388 unique ideals Thu Jun 11 15:16:46 2026 reduce to 45696020 relations and 40676014 ideals in 10 passes Thu Jun 11 15:16:46 2026 max relations containing the same ideal: 116 Thu Jun 11 15:16:57 2026 removing 5105548 relations and 4105548 ideals in 1000000 cliques Thu Jun 11 15:16:58 2026 commencing in-memory singleton removal Thu Jun 11 15:16:59 2026 begin with 40590472 relations and 40676014 unique ideals Thu Jun 11 15:17:03 2026 reduce to 40169913 relations and 36140636 ideals in 9 passes Thu Jun 11 15:17:03 2026 max relations containing the same ideal: 102 Thu Jun 11 15:17:13 2026 removing 4590464 relations and 3590464 ideals in 1000000 cliques Thu Jun 11 15:17:14 2026 commencing in-memory singleton removal Thu Jun 11 15:17:15 2026 begin with 35579449 relations and 36140636 unique ideals Thu Jun 11 15:17:18 2026 reduce to 35196638 relations and 32158570 ideals in 9 passes Thu Jun 11 15:17:18 2026 max relations containing the same ideal: 93 Thu Jun 11 15:17:27 2026 removing 4318491 relations and 3318491 ideals in 1000000 cliques Thu Jun 11 15:17:28 2026 commencing in-memory singleton removal Thu Jun 11 15:17:29 2026 begin with 30878147 relations and 32158570 unique ideals Thu Jun 11 15:17:32 2026 reduce to 30499821 relations and 28452478 ideals in 9 passes Thu Jun 11 15:17:32 2026 max relations containing the same ideal: 85 Thu Jun 11 15:17:40 2026 removing 4145124 relations and 3145124 ideals in 1000000 cliques Thu Jun 11 15:17:41 2026 commencing in-memory singleton removal Thu Jun 11 15:17:41 2026 begin with 26354697 relations and 28452478 unique ideals Thu Jun 11 15:17:43 2026 reduce to 25963999 relations and 24905906 ideals in 8 passes Thu Jun 11 15:17:43 2026 max relations containing the same ideal: 76 Thu Jun 11 15:17:50 2026 removing 1837734 relations and 1467438 ideals in 370296 cliques Thu Jun 11 15:17:50 2026 commencing in-memory singleton removal Thu Jun 11 15:17:51 2026 begin with 24126265 relations and 24905906 unique ideals Thu Jun 11 15:17:53 2026 reduce to 24048470 relations and 23359755 ideals in 8 passes Thu Jun 11 15:17:53 2026 max relations containing the same ideal: 74 Thu Jun 11 15:18:01 2026 relations with 0 large ideals: 2129 Thu Jun 11 15:18:01 2026 relations with 1 large ideals: 9598 Thu Jun 11 15:18:01 2026 relations with 2 large ideals: 141430 Thu Jun 11 15:18:01 2026 relations with 3 large ideals: 881132 Thu Jun 11 15:18:01 2026 relations with 4 large ideals: 2929364 Thu Jun 11 15:18:01 2026 relations with 5 large ideals: 5668833 Thu Jun 11 15:18:01 2026 relations with 6 large ideals: 6725672 Thu Jun 11 15:18:01 2026 relations with 7+ large ideals: 7690312 Thu Jun 11 15:18:01 2026 commencing 2-way merge Thu Jun 11 15:18:10 2026 reduce to 14976565 relation sets and 14287849 unique ideals Thu Jun 11 15:18:10 2026 commencing full merge Thu Jun 11 15:21:08 2026 memory use: 1825.2 MB Thu Jun 11 15:21:09 2026 found 7175936 cycles, need 7094049 Thu Jun 11 15:21:10 2026 weight of 7094049 cycles is about 737876266 (104.01/cycle) Thu Jun 11 15:21:10 2026 distribution of cycle lengths: Thu Jun 11 15:21:10 2026 1 relations: 378398 Thu Jun 11 15:21:10 2026 2 relations: 570785 Thu Jun 11 15:21:10 2026 3 relations: 636763 Thu Jun 11 15:21:10 2026 4 relations: 624019 Thu Jun 11 15:21:10 2026 5 relations: 606418 Thu Jun 11 15:21:10 2026 6 relations: 578279 Thu Jun 11 15:21:10 2026 7 relations: 539059 Thu Jun 11 15:21:10 2026 8 relations: 500296 Thu Jun 11 15:21:10 2026 9 relations: 454494 Thu Jun 11 15:21:10 2026 10+ relations: 2205538 Thu Jun 11 15:21:10 2026 heaviest cycle: 26 relations Thu Jun 11 15:21:11 2026 commencing cycle optimization Thu Jun 11 15:21:19 2026 start with 53777641 relations Thu Jun 11 15:22:15 2026 pruned 1936199 relations Thu Jun 11 15:22:15 2026 memory use: 1548.4 MB Thu Jun 11 15:22:16 2026 distribution of cycle lengths: Thu Jun 11 15:22:16 2026 1 relations: 378398 Thu Jun 11 15:22:16 2026 2 relations: 585611 Thu Jun 11 15:22:16 2026 3 relations: 663511 Thu Jun 11 15:22:16 2026 4 relations: 647246 Thu Jun 11 15:22:16 2026 5 relations: 631471 Thu Jun 11 15:22:16 2026 6 relations: 597981 Thu Jun 11 15:22:16 2026 7 relations: 558494 Thu Jun 11 15:22:16 2026 8 relations: 514046 Thu Jun 11 15:22:16 2026 9 relations: 464051 Thu Jun 11 15:22:16 2026 10+ relations: 2053240 Thu Jun 11 15:22:16 2026 heaviest cycle: 26 relations Thu Jun 11 15:22:21 2026 RelProcTime: 720 Thu Jun 11 15:22:22 2026 Thu Jun 11 15:22:22 2026 commencing linear algebra Thu Jun 11 15:22:22 2026 using VBITS=64 Thu Jun 11 15:22:22 2026 read 7094049 cycles Thu Jun 11 15:22:28 2026 cycles contain 23628431 unique relations Thu Jun 11 15:22:43 2026 read 23628431 relations Thu Jun 11 15:22:49 2026 using 20 quadratic characters above 4294917295 Thu Jun 11 15:22:58 2026 building initial matrix Thu Jun 11 15:25:28 2026 memory use: 3242.4 MB Thu Jun 11 15:25:30 2026 read 7094049 cycles Thu Jun 11 15:25:30 2026 matrix is 7093871 x 7094049 (2956.0 MB) with weight 906561696 (127.79/col) Thu Jun 11 15:25:30 2026 sparse part has weight 696850200 (98.23/col) Thu Jun 11 15:26:11 2026 filtering completed in 2 passes Thu Jun 11 15:26:12 2026 matrix is 7093171 x 7093349 (2955.9 MB) with weight 906529696 (127.80/col) Thu Jun 11 15:26:12 2026 sparse part has weight 696839898 (98.24/col) Thu Jun 11 15:26:20 2026 matrix starts at (0, 0) Thu Jun 11 15:26:21 2026 matrix is 7093171 x 7093349 (2955.9 MB) with weight 906529696 (127.80/col) Thu Jun 11 15:26:21 2026 sparse part has weight 696839898 (98.24/col) Thu Jun 11 15:26:21 2026 saving the first 48 matrix rows for later Thu Jun 11 15:26:21 2026 matrix includes 64 packed rows Thu Jun 11 15:26:21 2026 matrix is 7093123 x 7093349 (2875.4 MB) with weight 758248876 (106.90/col) Thu Jun 11 15:26:21 2026 sparse part has weight 682833431 (96.26/col) Thu Jun 11 15:26:22 2026 using GPU 0 (NVIDIA GeForce RTX 3080) Thu Jun 11 15:26:22 2026 selected card has CUDA arch 8.6 Thu Jun 11 15:27:03 2026 commencing Lanczos iteration Thu Jun 11 15:27:04 2026 memory use: 5967.3 MB Thu Jun 11 15:27:35 2026 checking every 30000 dimensions, checkpointing every 2250000 dimensions Thu Jun 11 15:27:54 2026 linear algebra at 0.4%, ETA 3h13m Thu Jun 11 19:08:25 2026 lanczos halted after 112169 iterations (dim = 7093123) Thu Jun 11 19:08:29 2026 recovered 30 nontrivial dependencies Thu Jun 11 19:08:29 2026 BLanczosTime: 13567 Thu Jun 11 19:08:29 2026 Thu Jun 11 19:08:29 2026 commencing square root phase Thu Jun 11 19:08:29 2026 handling dependencies 1 to 64 Thu Jun 11 19:08:29 2026 reading relations for dependency 1 Thu Jun 11 19:08:33 2026 read 3545947 cycles Thu Jun 11 19:08:36 2026 cycles contain 11812132 unique relations Thu Jun 11 19:09:17 2026 read 11812132 relations Thu Jun 11 19:09:45 2026 multiplying 11812132 relations Thu Jun 11 19:10:51 2026 multiply complete, coefficients have about 617.00 million bits Thu Jun 11 19:10:52 2026 initial square root is modulo 343237 Thu Jun 11 19:12:44 2026 sqrtTime: 255 Thu Jun 11 19:12:44 2026 p73 factor: 5466318859149494011353460944796077650097663297873738846673953776543772407 Thu Jun 11 19:12:44 2026 p93 factor: 107607200058301121807255903865036705993516824245867862223159376928658820163502734759610413857 Thu Jun 11 19:12:44 2026 elapsed time 04:02:23