Tue Feb 24 20:04:15 2026 Tue Feb 24 20:04:15 2026 Tue Feb 24 20:04:15 2026 Msieve v. 1.54 (SVN Unversioned directory) Tue Feb 24 20:04:15 2026 random seeds: 84785ce5 c12ca565 Tue Feb 24 20:04:15 2026 Using 8 OpenMP threads Tue Feb 24 20:04:15 2026 factoring 82157190681202670359788206103449741782277417978838832391896431409102178129110794367501108638198505808851815723436489210165962594861803586713868867591986992241660143651 (167 digits) Tue Feb 24 20:04:16 2026 searching for 15-digit factors Tue Feb 24 20:04:16 2026 commencing number field sieve (167-digit input) Tue Feb 24 20:04:16 2026 R0: -287841790004517247094089609096543 Tue Feb 24 20:04:16 2026 R1: 90486870637366487167 Tue Feb 24 20:04:16 2026 A0: -268391456468106864338195178554352691800 Tue Feb 24 20:04:16 2026 A1: 3261933861459317034860688637888170 Tue Feb 24 20:04:16 2026 A2: 716060292384208021285614051 Tue Feb 24 20:04:16 2026 A3: 12175196137319968901 Tue Feb 24 20:04:16 2026 A4: -2478590481577 Tue Feb 24 20:04:16 2026 A5: 41580 Tue Feb 24 20:04:16 2026 skew 16257571.70, size 3.720e-16, alpha -6.455, combined = 6.285e-13 rroots = 5 Tue Feb 24 20:04:16 2026 Tue Feb 24 20:04:16 2026 commencing relation filtering Tue Feb 24 20:04:16 2026 target densities: 85 100 115 130 Tue Feb 24 20:04:16 2026 estimated available RAM is 78540.1 MB Tue Feb 24 20:04:16 2026 commencing duplicate removal, pass 1 Tue Feb 24 20:04:46 2026 error -1 reading relation 22834479 Tue Feb 24 20:06:01 2026 error -1 reading relation 79805915 Tue Feb 24 20:06:13 2026 error -1 reading relation 89250307 Tue Feb 24 20:07:02 2026 error -1 reading relation 131124194 Tue Feb 24 20:07:32 2026 error -1 reading relation 156239129 Tue Feb 24 20:07:58 2026 error -1 reading relation 178362784 Tue Feb 24 20:07:59 2026 error -1 reading relation 179020322 Tue Feb 24 20:08:00 2026 error -1 reading relation 180023463 Tue Feb 24 20:08:04 2026 error -1 reading relation 183502029 Tue Feb 24 20:08:04 2026 error -1 reading relation 183599578 Tue Feb 24 20:08:29 2026 error -1 reading relation 206332063 Tue Feb 24 20:08:45 2026 error -1 reading relation 220029722 Tue Feb 24 20:08:48 2026 error -1 reading relation 223072095 Tue Feb 24 20:09:20 2026 error -1 reading relation 251684144 Tue Feb 24 20:09:33 2026 skipped 1 relations with b > 2^32 Tue Feb 24 20:09:33 2026 skipped 104 malformed relations Tue Feb 24 20:09:33 2026 found 48518274 hash collisions in 261309941 relations Tue Feb 24 20:09:47 2026 added 122533 free relations Tue Feb 24 20:09:47 2026 commencing duplicate removal, pass 2 Tue Feb 24 20:12:31 2026 found 45095150 duplicates and 216337324 unique relations Tue Feb 24 20:12:31 2026 memory use: 1449.5 MB Tue Feb 24 20:12:31 2026 reading ideals above 720000 Tue Feb 24 20:12:31 2026 commencing singleton removal, initial pass Tue Feb 24 20:28:34 2026 memory use: 6024.0 MB Tue Feb 24 20:28:34 2026 reading all ideals from disk Tue Feb 24 20:28:40 2026 memory use: 9870.1 MB Tue Feb 24 20:28:58 2026 keeping 216673609 ideals with weight <= 200, target excess is 1138753 Tue Feb 24 20:29:20 2026 commencing in-memory singleton removal Tue Feb 24 20:29:24 2026 begin with 216337324 relations and 216673609 unique ideals Tue Feb 24 20:29:47 2026 reduce to 101647706 relations and 85467857 ideals in 17 passes Tue Feb 24 20:29:47 2026 max relations containing the same ideal: 127 Tue Feb 24 20:30:37 2026 removing 12944407 relations and 10944407 ideals in 2000000 cliques Tue Feb 24 20:30:40 2026 commencing in-memory singleton removal Tue Feb 24 20:30:42 2026 begin with 88703299 relations and 85467857 unique ideals Tue Feb 24 20:30:51 2026 reduce to 87491639 relations and 73281026 ideals in 10 passes Tue Feb 24 20:30:51 2026 max relations containing the same ideal: 114 Tue Feb 24 20:31:17 2026 removing 9670590 relations and 7670590 ideals in 2000000 cliques Tue Feb 24 20:31:19 2026 commencing in-memory singleton removal Tue Feb 24 20:31:20 2026 begin with 77821049 relations and 73281026 unique ideals Tue Feb 24 20:31:24 2026 reduce to 77010487 relations and 64781102 ideals in 8 passes Tue Feb 24 20:31:24 2026 max relations containing the same ideal: 103 Tue Feb 24 20:31:45 2026 removing 8665429 relations and 6665429 ideals in 2000000 cliques Tue Feb 24 20:31:47 2026 commencing in-memory singleton removal Tue Feb 24 20:31:48 2026 begin with 68345058 relations and 64781102 unique ideals Tue Feb 24 20:31:52 2026 reduce to 67609796 relations and 57362602 ideals in 9 passes Tue Feb 24 20:31:52 2026 max relations containing the same ideal: 94 Tue Feb 24 20:32:10 2026 removing 8160963 relations and 6160963 ideals in 2000000 cliques Tue Feb 24 20:32:12 2026 commencing in-memory singleton removal Tue Feb 24 20:32:12 2026 begin with 59448833 relations and 57362602 unique ideals Tue Feb 24 20:32:16 2026 reduce to 58719134 relations and 50452545 ideals in 9 passes Tue Feb 24 20:32:16 2026 max relations containing the same ideal: 86 Tue Feb 24 20:32:32 2026 removing 7849938 relations and 5849938 ideals in 2000000 cliques Tue Feb 24 20:32:33 2026 commencing in-memory singleton removal Tue Feb 24 20:32:34 2026 begin with 50869196 relations and 50452545 unique ideals Tue Feb 24 20:32:37 2026 reduce to 50108707 relations and 43819318 ideals in 9 passes Tue Feb 24 20:32:37 2026 max relations containing the same ideal: 77 Tue Feb 24 20:32:51 2026 removing 7652908 relations and 5652908 ideals in 2000000 cliques Tue Feb 24 20:32:53 2026 commencing in-memory singleton removal Tue Feb 24 20:32:53 2026 begin with 42455799 relations and 43819318 unique ideals Tue Feb 24 20:32:56 2026 reduce to 41627975 relations and 37309643 ideals in 9 passes Tue Feb 24 20:32:56 2026 max relations containing the same ideal: 70 Tue Feb 24 20:33:09 2026 removing 7515929 relations and 5515929 ideals in 2000000 cliques Tue Feb 24 20:33:10 2026 commencing in-memory singleton removal Tue Feb 24 20:33:10 2026 begin with 34112046 relations and 37309643 unique ideals Tue Feb 24 20:33:12 2026 reduce to 33160585 relations and 30802536 ideals in 9 passes Tue Feb 24 20:33:12 2026 max relations containing the same ideal: 61 Tue Feb 24 20:33:22 2026 removing 4468311 relations and 3431216 ideals in 1037095 cliques Tue Feb 24 20:33:23 2026 commencing in-memory singleton removal Tue Feb 24 20:33:23 2026 begin with 28692274 relations and 30802536 unique ideals Tue Feb 24 20:33:25 2026 reduce to 28296649 relations and 26964969 ideals in 8 passes Tue Feb 24 20:33:25 2026 max relations containing the same ideal: 55 Tue Feb 24 20:33:33 2026 removing 92460 relations and 81734 ideals in 10726 cliques Tue Feb 24 20:33:34 2026 commencing in-memory singleton removal Tue Feb 24 20:33:34 2026 begin with 28204189 relations and 26964969 unique ideals Tue Feb 24 20:33:35 2026 reduce to 28204044 relations and 26883090 ideals in 4 passes Tue Feb 24 20:33:35 2026 max relations containing the same ideal: 55 Tue Feb 24 20:33:37 2026 relations with 0 large ideals: 3833 Tue Feb 24 20:33:37 2026 relations with 1 large ideals: 53021 Tue Feb 24 20:33:37 2026 relations with 2 large ideals: 586048 Tue Feb 24 20:33:37 2026 relations with 3 large ideals: 2652009 Tue Feb 24 20:33:37 2026 relations with 4 large ideals: 6177454 Tue Feb 24 20:33:37 2026 relations with 5 large ideals: 8139086 Tue Feb 24 20:33:37 2026 relations with 6 large ideals: 6444279 Tue Feb 24 20:33:37 2026 relations with 7+ large ideals: 4148314 Tue Feb 24 20:33:37 2026 commencing 2-way merge Tue Feb 24 20:33:49 2026 reduce to 16894213 relation sets and 15573259 unique ideals Tue Feb 24 20:33:50 2026 Tue Feb 24 20:33:50 2026 trying target density 85 Tue Feb 24 20:33:50 2026 commencing full merge Tue Feb 24 20:36:38 2026 memory use: 1828.9 MB Tue Feb 24 20:36:39 2026 found 8619483 cycles, need 8439459 Tue Feb 24 20:36:41 2026 weight of 8439459 cycles is about 717831357 (85.06/cycle) Tue Feb 24 20:36:41 2026 distribution of cycle lengths: Tue Feb 24 20:36:41 2026 1 relations: 721220 Tue Feb 24 20:36:41 2026 2 relations: 815152 Tue Feb 24 20:36:41 2026 3 relations: 868405 Tue Feb 24 20:36:41 2026 4 relations: 859449 Tue Feb 24 20:36:41 2026 5 relations: 827724 Tue Feb 24 20:36:41 2026 6 relations: 783194 Tue Feb 24 20:36:41 2026 7 relations: 715658 Tue Feb 24 20:36:41 2026 8 relations: 628560 Tue Feb 24 20:36:41 2026 9 relations: 539070 Tue Feb 24 20:36:41 2026 10+ relations: 1681027 Tue Feb 24 20:36:41 2026 heaviest cycle: 20 relations Tue Feb 24 20:36:43 2026 target density 85 succeeded, avg weight 85.06 Tue Feb 24 20:36:43 2026 commencing cycle optimization Tue Feb 24 20:36:55 2026 start with 52432246 relations Tue Feb 24 20:37:51 2026 pruned 1433519 relations Tue Feb 24 20:37:51 2026 memory use: 1683.5 MB Tue Feb 24 20:37:52 2026 distribution of cycle lengths: Tue Feb 24 20:37:52 2026 1 relations: 721220 Tue Feb 24 20:37:52 2026 2 relations: 833720 Tue Feb 24 20:37:52 2026 3 relations: 900458 Tue Feb 24 20:37:52 2026 4 relations: 884869 Tue Feb 24 20:37:52 2026 5 relations: 856123 Tue Feb 24 20:37:52 2026 6 relations: 804344 Tue Feb 24 20:37:52 2026 7 relations: 733019 Tue Feb 24 20:37:52 2026 8 relations: 637371 Tue Feb 24 20:37:52 2026 9 relations: 540343 Tue Feb 24 20:37:52 2026 10+ relations: 1527992 Tue Feb 24 20:37:52 2026 heaviest cycle: 19 relations Tue Feb 24 20:38:03 2026 Tue Feb 24 20:38:03 2026 trying target density 100 Tue Feb 24 20:38:03 2026 commencing full merge Tue Feb 24 20:41:55 2026 memory use: 1865.8 MB Tue Feb 24 20:41:57 2026 found 8149029 cycles, need 7979459 Tue Feb 24 20:42:00 2026 weight of 7979459 cycles is about 798198825 (100.03/cycle) Tue Feb 24 20:42:00 2026 distribution of cycle lengths: Tue Feb 24 20:42:00 2026 1 relations: 514160 Tue Feb 24 20:42:00 2026 2 relations: 629650 Tue Feb 24 20:42:00 2026 3 relations: 694568 Tue Feb 24 20:42:00 2026 4 relations: 695878 Tue Feb 24 20:42:00 2026 5 relations: 692248 Tue Feb 24 20:42:00 2026 6 relations: 667401 Tue Feb 24 20:42:00 2026 7 relations: 639866 Tue Feb 24 20:42:00 2026 8 relations: 590462 Tue Feb 24 20:42:00 2026 9 relations: 533185 Tue Feb 24 20:42:00 2026 10+ relations: 2322041 Tue Feb 24 20:42:00 2026 heaviest cycle: 22 relations Tue Feb 24 20:42:01 2026 target density 100 succeeded, avg weight 100.03 Tue Feb 24 20:42:02 2026 commencing cycle optimization Tue Feb 24 20:42:18 2026 start with 58175657 relations Tue Feb 24 20:44:04 2026 pruned 1922215 relations Tue Feb 24 20:44:05 2026 memory use: 1743.9 MB Tue Feb 24 20:44:05 2026 distribution of cycle lengths: Tue Feb 24 20:44:05 2026 1 relations: 514160 Tue Feb 24 20:44:05 2026 2 relations: 645053 Tue Feb 24 20:44:05 2026 3 relations: 721637 Tue Feb 24 20:44:05 2026 4 relations: 720400 Tue Feb 24 20:44:05 2026 5 relations: 719622 Tue Feb 24 20:44:05 2026 6 relations: 691451 Tue Feb 24 20:44:05 2026 7 relations: 662725 Tue Feb 24 20:44:05 2026 8 relations: 607340 Tue Feb 24 20:44:05 2026 9 relations: 545010 Tue Feb 24 20:44:05 2026 10+ relations: 2152061 Tue Feb 24 20:44:05 2026 heaviest cycle: 22 relations Tue Feb 24 20:44:21 2026 Tue Feb 24 20:44:21 2026 trying target density 115 Tue Feb 24 20:44:21 2026 commencing full merge Tue Feb 24 20:49:55 2026 memory use: 1893.0 MB Tue Feb 24 20:49:58 2026 found 7765774 cycles, need 7625459 Tue Feb 24 20:50:00 2026 weight of 7625459 cycles is about 877225336 (115.04/cycle) Tue Feb 24 20:50:00 2026 distribution of cycle lengths: Tue Feb 24 20:50:00 2026 1 relations: 376645 Tue Feb 24 20:50:00 2026 2 relations: 502254 Tue Feb 24 20:50:00 2026 3 relations: 566048 Tue Feb 24 20:50:00 2026 4 relations: 578687 Tue Feb 24 20:50:00 2026 5 relations: 590248 Tue Feb 24 20:50:00 2026 6 relations: 573635 Tue Feb 24 20:50:00 2026 7 relations: 563657 Tue Feb 24 20:50:00 2026 8 relations: 534264 Tue Feb 24 20:50:00 2026 9 relations: 502768 Tue Feb 24 20:50:00 2026 10+ relations: 2837253 Tue Feb 24 20:50:00 2026 heaviest cycle: 27 relations Tue Feb 24 20:50:03 2026 target density 115 succeeded, avg weight 115.04 Tue Feb 24 20:50:03 2026 commencing cycle optimization Tue Feb 24 20:50:30 2026 start with 63755101 relations Tue Feb 24 20:54:01 2026 pruned 2435254 relations Tue Feb 24 20:54:02 2026 memory use: 1801.0 MB Tue Feb 24 20:54:02 2026 distribution of cycle lengths: Tue Feb 24 20:54:02 2026 1 relations: 376645 Tue Feb 24 20:54:02 2026 2 relations: 515131 Tue Feb 24 20:54:02 2026 3 relations: 589039 Tue Feb 24 20:54:02 2026 4 relations: 601201 Tue Feb 24 20:54:02 2026 5 relations: 615827 Tue Feb 24 20:54:02 2026 6 relations: 597933 Tue Feb 24 20:54:02 2026 7 relations: 588245 Tue Feb 24 20:54:02 2026 8 relations: 555159 Tue Feb 24 20:54:02 2026 9 relations: 520977 Tue Feb 24 20:54:02 2026 10+ relations: 2665302 Tue Feb 24 20:54:02 2026 heaviest cycle: 26 relations Tue Feb 24 20:54:25 2026 Tue Feb 24 20:54:25 2026 trying target density 130 Tue Feb 24 20:54:25 2026 commencing full merge Tue Feb 24 21:04:21 2026 memory use: 1906.6 MB Tue Feb 24 21:04:24 2026 found 7424485 cycles, need 7341459 Tue Feb 24 21:04:28 2026 weight of 7341459 cycles is about 954975006 (130.08/cycle) Tue Feb 24 21:04:28 2026 distribution of cycle lengths: Tue Feb 24 21:04:28 2026 1 relations: 283247 Tue Feb 24 21:04:28 2026 2 relations: 409295 Tue Feb 24 21:04:28 2026 3 relations: 472196 Tue Feb 24 21:04:28 2026 4 relations: 488946 Tue Feb 24 21:04:28 2026 5 relations: 505016 Tue Feb 24 21:04:28 2026 6 relations: 503511 Tue Feb 24 21:04:28 2026 7 relations: 493328 Tue Feb 24 21:04:28 2026 8 relations: 482988 Tue Feb 24 21:04:28 2026 9 relations: 459671 Tue Feb 24 21:04:28 2026 10+ relations: 3243261 Tue Feb 24 21:04:28 2026 heaviest cycle: 28 relations Tue Feb 24 21:04:31 2026 target density 130 succeeded, avg weight 130.08 Tue Feb 24 21:04:31 2026 commencing cycle optimization Tue Feb 24 21:05:01 2026 start with 69188499 relations Tue Feb 24 21:09:04 2026 pruned 2964027 relations Tue Feb 24 21:09:05 2026 memory use: 1855.5 MB Tue Feb 24 21:09:05 2026 distribution of cycle lengths: Tue Feb 24 21:09:05 2026 1 relations: 283247 Tue Feb 24 21:09:05 2026 2 relations: 420153 Tue Feb 24 21:09:05 2026 3 relations: 491871 Tue Feb 24 21:09:05 2026 4 relations: 508985 Tue Feb 24 21:09:05 2026 5 relations: 528920 Tue Feb 24 21:09:05 2026 6 relations: 526276 Tue Feb 24 21:09:05 2026 7 relations: 518050 Tue Feb 24 21:09:05 2026 8 relations: 504910 Tue Feb 24 21:09:05 2026 9 relations: 481338 Tue Feb 24 21:09:05 2026 10+ relations: 3077709 Tue Feb 24 21:09:05 2026 heaviest cycle: 28 relations Tue Feb 24 21:09:28 2026 RelProcTime: 3912 Tue Feb 24 21:09:28 2026 Tue Feb 24 21:09:28 2026 commencing linear algebra Tue Feb 24 21:09:28 2026 using VBITS=256 Tue Feb 24 21:09:28 2026 building matrices for all .cyc.## files Tue Feb 24 21:09:28 2026 Tue Feb 24 21:09:28 2026 building matrix for density 100 Tue Feb 24 21:09:31 2026 read 7979459 cycles Tue Feb 24 21:09:50 2026 cycles contain 27358343 unique relations Tue Feb 24 21:15:11 2026 read 27358343 relations Tue Feb 24 21:15:23 2026 using 20 quadratic characters above 4294917295 Tue Feb 24 21:15:41 2026 building initial matrix Tue Feb 24 21:21:51 2026 memory use: 3726.2 MB Tue Feb 24 21:22:00 2026 read 7979459 cycles Tue Feb 24 21:22:01 2026 matrix is 7979275 x 7979459 (3252.7 MB) with weight 1001129758 (125.46/col) Tue Feb 24 21:22:01 2026 sparse part has weight 756922146 (94.86/col) Tue Feb 24 21:23:28 2026 filtering completed in 2 passes Tue Feb 24 21:23:31 2026 matrix is 7977218 x 7977402 (3252.5 MB) with weight 1001027713 (125.48/col) Tue Feb 24 21:23:31 2026 sparse part has weight 756884650 (94.88/col) Tue Feb 24 21:23:51 2026 Tue Feb 24 21:23:51 2026 building matrix for density 115 Tue Feb 24 21:23:52 2026 read 7625459 cycles Tue Feb 24 21:24:10 2026 cycles contain 27364823 unique relations Tue Feb 24 21:25:22 2026 read 27364823 relations Tue Feb 24 21:25:34 2026 using 20 quadratic characters above 4294917295 Tue Feb 24 21:25:52 2026 building initial matrix Tue Feb 24 21:33:18 2026 memory use: 3735.5 MB Tue Feb 24 21:33:25 2026 read 7625459 cycles Tue Feb 24 21:33:26 2026 matrix is 7625276 x 7625459 (3489.4 MB) with weight 1066495382 (139.86/col) Tue Feb 24 21:33:26 2026 sparse part has weight 823209240 (107.96/col) Tue Feb 24 21:35:25 2026 filtering completed in 2 passes Tue Feb 24 21:35:28 2026 matrix is 7624167 x 7624350 (3489.2 MB) with weight 1066434948 (139.87/col) Tue Feb 24 21:35:28 2026 sparse part has weight 823185545 (107.97/col) Tue Feb 24 21:35:52 2026 Tue Feb 24 21:35:52 2026 building matrix for density 130 Tue Feb 24 21:35:53 2026 read 7341459 cycles Tue Feb 24 21:36:15 2026 cycles contain 27367408 unique relations Tue Feb 24 21:37:59 2026 read 27367408 relations Tue Feb 24 21:38:11 2026 using 20 quadratic characters above 4294917295 Tue Feb 24 21:38:30 2026 building initial matrix Tue Feb 24 21:45:59 2026 memory use: 3745.8 MB Tue Feb 24 21:46:03 2026 read 7341459 cycles Tue Feb 24 21:46:04 2026 matrix is 7341281 x 7341459 (3721.2 MB) with weight 1129972540 (153.92/col) Tue Feb 24 21:46:04 2026 sparse part has weight 887390860 (120.87/col) Tue Feb 24 21:47:58 2026 filtering completed in 2 passes Tue Feb 24 21:48:01 2026 matrix is 7340847 x 7341024 (3721.1 MB) with weight 1129947284 (153.92/col) Tue Feb 24 21:48:01 2026 sparse part has weight 887381440 (120.88/col) Tue Feb 24 21:48:24 2026 Tue Feb 24 21:48:24 2026 building matrix for density 85 Tue Feb 24 21:48:27 2026 read 8439459 cycles Tue Feb 24 21:48:42 2026 cycles contain 27346900 unique relations Tue Feb 24 21:49:35 2026 read 27346900 relations Tue Feb 24 21:49:45 2026 using 20 quadratic characters above 4294917295 Tue Feb 24 21:50:03 2026 building initial matrix Tue Feb 24 21:56:06 2026 memory use: 3718.9 MB Tue Feb 24 21:56:09 2026 read 8439459 cycles Tue Feb 24 21:56:10 2026 matrix is 8439275 x 8439459 (3012.4 MB) with weight 933989941 (110.67/col) Tue Feb 24 21:56:10 2026 sparse part has weight 688410828 (81.57/col) Tue Feb 24 21:57:42 2026 filtering completed in 2 passes Tue Feb 24 21:57:45 2026 matrix is 8435784 x 8435968 (3012.1 MB) with weight 933839644 (110.70/col) Tue Feb 24 21:57:45 2026 sparse part has weight 688361790 (81.60/col) Tue Feb 24 21:58:09 2026 BLanczosTime: 2921 Tue Feb 24 21:58:09 2026 elapsed time 01:53:54 Tue Feb 24 22:05:35 2026 Tue Feb 24 22:05:35 2026 Tue Feb 24 22:05:35 2026 Msieve v. 1.54 (SVN Unversioned directory) Tue Feb 24 22:05:35 2026 random seeds: c882ff47 2c7a3660 Tue Feb 24 22:05:35 2026 Using 8 OpenMP threads Tue Feb 24 22:05:35 2026 factoring 82157190681202670359788206103449741782277417978838832391896431409102178129110794367501108638198505808851815723436489210165962594861803586713868867591986992241660143651 (167 digits) Tue Feb 24 22:05:36 2026 searching for 15-digit factors Tue Feb 24 22:05:36 2026 commencing number field sieve (167-digit input) Tue Feb 24 22:05:36 2026 R0: -287841790004517247094089609096543 Tue Feb 24 22:05:36 2026 R1: 90486870637366487167 Tue Feb 24 22:05:36 2026 A0: -268391456468106864338195178554352691800 Tue Feb 24 22:05:36 2026 A1: 3261933861459317034860688637888170 Tue Feb 24 22:05:36 2026 A2: 716060292384208021285614051 Tue Feb 24 22:05:36 2026 A3: 12175196137319968901 Tue Feb 24 22:05:36 2026 A4: -2478590481577 Tue Feb 24 22:05:36 2026 A5: 41580 Tue Feb 24 22:05:36 2026 skew 16257571.70, size 3.720e-16, alpha -6.455, combined = 6.285e-13 rroots = 5 Tue Feb 24 22:05:36 2026 Tue Feb 24 22:05:36 2026 commencing linear algebra Tue Feb 24 22:05:36 2026 using VBITS=256 Tue Feb 24 22:05:36 2026 selected density 130 for linear algebra Tue Feb 24 22:05:38 2026 matrix starts at (0, 0) Tue Feb 24 22:05:39 2026 matrix is 7340847 x 7341024 (3721.1 MB) with weight 1129947284 (153.92/col) Tue Feb 24 22:05:39 2026 sparse part has weight 887381440 (120.88/col) Tue Feb 24 22:05:39 2026 saving the first 240 matrix rows for later Tue Feb 24 22:05:41 2026 matrix includes 256 packed rows Tue Feb 24 22:05:43 2026 matrix is 7340607 x 7341024 (3339.0 MB) with weight 808331019 (110.11/col) Tue Feb 24 22:05:43 2026 sparse part has weight 757831658 (103.23/col) Tue Feb 24 22:05:44 2026 using GPU 0 (NVIDIA GeForce RTX 5070) Tue Feb 24 22:05:44 2026 selected card has CUDA arch 12.0 Tue Feb 24 22:07:20 2026 commencing Lanczos iteration Tue Feb 24 22:07:22 2026 memory use: 7630.1 MB Tue Feb 24 22:07:46 2026 linear algebra at 0.4%, ETA 1h31m Tue Feb 24 22:08:21 2026 checking every 70000 dimensions, checkpointing every 4830000 dimensions Tue Feb 24 23:38:21 2026 lanczos halted after 28761 iterations (dim = 7340606) Tue Feb 24 23:38:50 2026 recovered 32 nontrivial dependencies Tue Feb 24 23:38:50 2026 BLanczosTime: 5594 Tue Feb 24 23:38:50 2026 Tue Feb 24 23:38:50 2026 commencing square root phase Tue Feb 24 23:38:50 2026 handling dependencies 1 to 64 Tue Feb 24 23:38:50 2026 reading relations for dependency 1 Tue Feb 24 23:38:51 2026 read 3668038 cycles Tue Feb 24 23:39:00 2026 cycles contain 13682332 unique relations Tue Feb 24 23:43:48 2026 read 13682332 relations Tue Feb 24 23:45:00 2026 multiplying 13682332 relations Tue Feb 24 23:46:52 2026 multiply complete, coefficients have about 713.58 million bits Tue Feb 24 23:46:55 2026 initial square root is modulo 2523151 Tue Feb 24 23:51:21 2026 GCD is N, no factor found Tue Feb 24 23:51:21 2026 reading relations for dependency 2 Tue Feb 24 23:51:21 2026 read 3668819 cycles Tue Feb 24 23:51:30 2026 cycles contain 13682384 unique relations Tue Feb 24 23:52:18 2026 read 13682384 relations Tue Feb 24 23:53:30 2026 multiplying 13682384 relations Tue Feb 24 23:55:22 2026 multiply complete, coefficients have about 713.58 million bits Tue Feb 24 23:55:25 2026 initial square root is modulo 2522827 Tue Feb 24 23:59:50 2026 GCD is N, no factor found Tue Feb 24 23:59:50 2026 reading relations for dependency 3 Tue Feb 24 23:59:50 2026 read 3671399 cycles Tue Feb 24 23:59:59 2026 cycles contain 13685598 unique relations Wed Feb 25 00:00:36 2026 read 13685598 relations Wed Feb 25 00:01:44 2026 multiplying 13685598 relations Wed Feb 25 00:03:33 2026 multiply complete, coefficients have about 713.75 million bits Wed Feb 25 00:03:36 2026 initial square root is modulo 2531689 Wed Feb 25 00:07:38 2026 sqrtTime: 1728 Wed Feb 25 00:07:38 2026 p80 factor: 11492314680861693146547435672418240346745034990283706057666583871449413792946151 Wed Feb 25 00:07:38 2026 p88 factor: 7148881053354738851497374315024697243138500734580023117643936568500208277523667958822501 Wed Feb 25 00:07:38 2026 elapsed time 02:02:03