Tue Jan 20 15:05:35 2026 Tue Jan 20 15:05:35 2026 Tue Jan 20 15:05:35 2026 Msieve v. 1.54 (SVN Unversioned directory) Tue Jan 20 15:05:35 2026 random seeds: 80de66c8 0df9f066 Tue Jan 20 15:05:35 2026 Using 8 OpenMP threads Tue Jan 20 15:05:35 2026 factoring 87207242866591728201148808935050276190078227950651565842294289152569658147566363960719972415182875898278471088799208269709522127879584352843595584970433061852867523 (164 digits) Tue Jan 20 15:05:35 2026 searching for 15-digit factors Tue Jan 20 15:05:35 2026 commencing number field sieve (164-digit input) Tue Jan 20 15:05:35 2026 R0: -54572023716643100557939082199797 Tue Jan 20 15:05:35 2026 R1: 270118484442878794523 Tue Jan 20 15:05:35 2026 A0: -518437574556305111056870731813189774960 Tue Jan 20 15:05:35 2026 A1: -655916174803671414111476653788666 Tue Jan 20 15:05:35 2026 A2: -56230599357935688851941019 Tue Jan 20 15:05:35 2026 A3: 88248793099704823819 Tue Jan 20 15:05:35 2026 A4: -1449639623904 Tue Jan 20 15:05:35 2026 A5: 720720 Tue Jan 20 15:05:35 2026 skew 1.00, size 7.054e-16, alpha -7.995, combined = 6.710e-15 rroots = 3 Tue Jan 20 15:05:35 2026 Tue Jan 20 15:05:35 2026 commencing relation filtering Tue Jan 20 15:05:35 2026 estimated available RAM is 78540.1 MB Tue Jan 20 15:05:35 2026 commencing duplicate removal, pass 1 Tue Jan 20 15:06:53 2026 error -1 reading relation 53464693 Tue Jan 20 15:07:11 2026 error -1 reading relation 64657607 Tue Jan 20 15:07:45 2026 error -1 reading relation 85061765 Tue Jan 20 15:07:45 2026 error -1 reading relation 85571100 Tue Jan 20 15:07:49 2026 error -1 reading relation 87682612 Tue Jan 20 15:07:52 2026 error -1 reading relation 89591225 Tue Jan 20 15:08:26 2026 error -1 reading relation 110369942 Tue Jan 20 15:09:11 2026 error -1 reading relation 136136077 Tue Jan 20 15:09:35 2026 error -1 reading relation 151249316 Tue Jan 20 15:09:39 2026 skipped 61 malformed relations Tue Jan 20 15:09:39 2026 found 23128633 hash collisions in 155028108 relations Tue Jan 20 15:09:54 2026 added 122144 free relations Tue Jan 20 15:09:54 2026 commencing duplicate removal, pass 2 Tue Jan 20 15:10:50 2026 found 21565480 duplicates and 133584772 unique relations Tue Jan 20 15:10:50 2026 memory use: 788.8 MB Tue Jan 20 15:10:50 2026 reading ideals above 720000 Tue Jan 20 15:10:50 2026 commencing singleton removal, initial pass Tue Jan 20 15:18:44 2026 memory use: 3012.0 MB Tue Jan 20 15:18:44 2026 reading all ideals from disk Tue Jan 20 15:18:46 2026 memory use: 6054.3 MB Tue Jan 20 15:18:55 2026 keeping 144201713 ideals with weight <= 200, target excess is 689790 Tue Jan 20 15:19:05 2026 commencing in-memory singleton removal Tue Jan 20 15:19:05 2026 begin with 133584772 relations and 144201713 unique ideals Tue Jan 20 15:19:22 2026 reduce to 50733789 relations and 47278044 ideals in 22 passes Tue Jan 20 15:19:22 2026 max relations containing the same ideal: 114 Tue Jan 20 15:19:38 2026 removing 4435914 relations and 4035914 ideals in 400000 cliques Tue Jan 20 15:19:39 2026 commencing in-memory singleton removal Tue Jan 20 15:19:39 2026 begin with 46297875 relations and 47278044 unique ideals Tue Jan 20 15:19:45 2026 reduce to 45986490 relations and 42927092 ideals in 11 passes Tue Jan 20 15:19:45 2026 max relations containing the same ideal: 104 Tue Jan 20 15:20:02 2026 removing 3229682 relations and 2829682 ideals in 400000 cliques Tue Jan 20 15:20:03 2026 commencing in-memory singleton removal Tue Jan 20 15:20:04 2026 begin with 42756808 relations and 42927092 unique ideals Tue Jan 20 15:20:06 2026 reduce to 42570738 relations and 39909536 ideals in 9 passes Tue Jan 20 15:20:06 2026 max relations containing the same ideal: 97 Tue Jan 20 15:20:21 2026 removing 2843799 relations and 2443799 ideals in 400000 cliques Tue Jan 20 15:20:22 2026 commencing in-memory singleton removal Tue Jan 20 15:20:22 2026 begin with 39726939 relations and 39909536 unique ideals Tue Jan 20 15:20:26 2026 reduce to 39569668 relations and 37306995 ideals in 9 passes Tue Jan 20 15:20:26 2026 max relations containing the same ideal: 92 Tue Jan 20 15:20:38 2026 removing 2638407 relations and 2238407 ideals in 400000 cliques Tue Jan 20 15:20:39 2026 commencing in-memory singleton removal Tue Jan 20 15:20:39 2026 begin with 36931261 relations and 37306995 unique ideals Tue Jan 20 15:20:43 2026 reduce to 36787111 relations and 34923057 ideals in 9 passes Tue Jan 20 15:20:43 2026 max relations containing the same ideal: 88 Tue Jan 20 15:20:56 2026 removing 2507249 relations and 2107249 ideals in 400000 cliques Tue Jan 20 15:20:57 2026 commencing in-memory singleton removal Tue Jan 20 15:20:57 2026 begin with 34279862 relations and 34923057 unique ideals Tue Jan 20 15:21:01 2026 reduce to 34139478 relations and 32674060 ideals in 10 passes Tue Jan 20 15:21:01 2026 max relations containing the same ideal: 85 Tue Jan 20 15:21:11 2026 removing 2414919 relations and 2014919 ideals in 400000 cliques Tue Jan 20 15:21:12 2026 commencing in-memory singleton removal Tue Jan 20 15:21:12 2026 begin with 31724559 relations and 32674060 unique ideals Tue Jan 20 15:21:15 2026 reduce to 31583935 relations and 30517101 ideals in 9 passes Tue Jan 20 15:21:15 2026 max relations containing the same ideal: 84 Tue Jan 20 15:21:26 2026 removing 1687721 relations and 1421044 ideals in 266677 cliques Tue Jan 20 15:21:27 2026 commencing in-memory singleton removal Tue Jan 20 15:21:27 2026 begin with 29896214 relations and 30517101 unique ideals Tue Jan 20 15:21:30 2026 reduce to 29825708 relations and 29024981 ideals in 8 passes Tue Jan 20 15:21:30 2026 max relations containing the same ideal: 81 Tue Jan 20 15:21:43 2026 relations with 0 large ideals: 2238 Tue Jan 20 15:21:43 2026 relations with 1 large ideals: 14378 Tue Jan 20 15:21:43 2026 relations with 2 large ideals: 196637 Tue Jan 20 15:21:43 2026 relations with 3 large ideals: 1201389 Tue Jan 20 15:21:43 2026 relations with 4 large ideals: 3901857 Tue Jan 20 15:21:43 2026 relations with 5 large ideals: 7350289 Tue Jan 20 15:21:43 2026 relations with 6 large ideals: 8367378 Tue Jan 20 15:21:43 2026 relations with 7+ large ideals: 8791542 Tue Jan 20 15:21:43 2026 commencing 2-way merge Tue Jan 20 15:22:06 2026 reduce to 17238212 relation sets and 16437485 unique ideals Tue Jan 20 15:22:06 2026 commencing full merge Tue Jan 20 15:27:35 2026 memory use: 1987.0 MB Tue Jan 20 15:27:37 2026 found 8388701 cycles, need 8291685 Tue Jan 20 15:27:40 2026 weight of 8291685 cycles is about 746389428 (90.02/cycle) Tue Jan 20 15:27:40 2026 distribution of cycle lengths: Tue Jan 20 15:27:40 2026 1 relations: 950420 Tue Jan 20 15:27:40 2026 2 relations: 843622 Tue Jan 20 15:27:40 2026 3 relations: 808177 Tue Jan 20 15:27:40 2026 4 relations: 741635 Tue Jan 20 15:27:40 2026 5 relations: 681711 Tue Jan 20 15:27:40 2026 6 relations: 623235 Tue Jan 20 15:27:40 2026 7 relations: 555472 Tue Jan 20 15:27:40 2026 8 relations: 490790 Tue Jan 20 15:27:40 2026 9 relations: 442567 Tue Jan 20 15:27:40 2026 10+ relations: 2154056 Tue Jan 20 15:27:40 2026 heaviest cycle: 24 relations Tue Jan 20 15:27:42 2026 commencing cycle optimization Tue Jan 20 15:27:56 2026 start with 55758682 relations Tue Jan 20 15:29:13 2026 pruned 1449144 relations Tue Jan 20 15:29:13 2026 memory use: 1773.9 MB Tue Jan 20 15:29:14 2026 distribution of cycle lengths: Tue Jan 20 15:29:14 2026 1 relations: 950420 Tue Jan 20 15:29:14 2026 2 relations: 862879 Tue Jan 20 15:29:14 2026 3 relations: 836075 Tue Jan 20 15:29:14 2026 4 relations: 760160 Tue Jan 20 15:29:14 2026 5 relations: 699931 Tue Jan 20 15:29:14 2026 6 relations: 633990 Tue Jan 20 15:29:14 2026 7 relations: 564483 Tue Jan 20 15:29:14 2026 8 relations: 496913 Tue Jan 20 15:29:14 2026 9 relations: 445869 Tue Jan 20 15:29:14 2026 10+ relations: 2040965 Tue Jan 20 15:29:14 2026 heaviest cycle: 24 relations Tue Jan 20 15:29:27 2026 RelProcTime: 1432 Tue Jan 20 15:29:27 2026 Tue Jan 20 15:29:27 2026 commencing linear algebra Tue Jan 20 15:29:27 2026 using VBITS=256 Tue Jan 20 15:29:28 2026 read 8291685 cycles Tue Jan 20 15:29:37 2026 cycles contain 29170288 unique relations Tue Jan 20 15:30:12 2026 read 29170288 relations Tue Jan 20 15:30:20 2026 using 20 quadratic characters above 4294917295 Tue Jan 20 15:30:34 2026 building initial matrix Tue Jan 20 15:34:23 2026 memory use: 3894.0 MB Tue Jan 20 15:34:26 2026 read 8291685 cycles Tue Jan 20 15:34:27 2026 matrix is 8291504 x 8291685 (3106.0 MB) with weight 960171854 (115.80/col) Tue Jan 20 15:34:27 2026 sparse part has weight 714716950 (86.20/col) Tue Jan 20 15:35:24 2026 filtering completed in 2 passes Tue Jan 20 15:35:26 2026 matrix is 8286142 x 8286323 (3105.5 MB) with weight 959934909 (115.85/col) Tue Jan 20 15:35:26 2026 sparse part has weight 714650297 (86.24/col) Tue Jan 20 15:35:37 2026 matrix starts at (0, 0) Tue Jan 20 15:35:37 2026 matrix is 8286142 x 8286323 (3105.5 MB) with weight 959934909 (115.85/col) Tue Jan 20 15:35:37 2026 sparse part has weight 714650297 (86.24/col) Tue Jan 20 15:35:37 2026 saving the first 240 matrix rows for later Tue Jan 20 15:35:39 2026 matrix includes 256 packed rows Tue Jan 20 15:35:40 2026 matrix is 8285902 x 8286323 (2850.0 MB) with weight 654836330 (79.03/col) Tue Jan 20 15:35:40 2026 sparse part has weight 614532277 (74.16/col) Tue Jan 20 15:35:41 2026 using GPU 0 (NVIDIA GeForce RTX 5070) Tue Jan 20 15:35:41 2026 selected card has CUDA arch 12.0 Tue Jan 20 15:36:09 2026 commencing Lanczos iteration Tue Jan 20 15:36:11 2026 memory use: 6774.8 MB Tue Jan 20 15:36:33 2026 linear algebra at 0.4%, ETA 1h38m Tue Jan 20 15:37:03 2026 checking every 80000 dimensions, checkpointing every 5360000 dimensions Tue Jan 20 17:06:46 2026 lanczos halted after 32466 iterations (dim = 8285898) Tue Jan 20 17:07:17 2026 recovered 28 nontrivial dependencies Tue Jan 20 17:07:18 2026 BLanczosTime: 5871 Tue Jan 20 17:07:18 2026 Tue Jan 20 17:07:18 2026 commencing square root phase Tue Jan 20 17:07:18 2026 reading relations for dependency 1 Tue Jan 20 17:07:40 2026 read 4144050 cycles Tue Jan 20 17:07:46 2026 cycles contain 14587862 unique relations Tue Jan 20 17:09:38 2026 read 14587862 relations Tue Jan 20 17:10:21 2026 multiplying 14587862 relations Tue Jan 20 17:12:03 2026 multiply complete, coefficients have about 817.17 million bits Tue Jan 20 17:12:05 2026 initial square root is modulo 21439441 Tue Jan 20 17:16:42 2026 sqrtTime: 564 Tue Jan 20 17:16:42 2026 p62 factor: 66214078723780093760346547420748404154625462496206354056200727 Tue Jan 20 17:16:42 2026 p103 factor: 1317049856275840006996252126592390326561604135655663875178093288668434371498444219882729216227482749749 Tue Jan 20 17:16:42 2026 elapsed time 02:11:07