Tue Aug 4 18:34:00 2026 Msieve v. 1.54 (SVN Unversioned directory) Tue Aug 4 18:34:00 2026 random seeds: f3c5ed49 96f5fe98 Tue Aug 4 18:34:00 2026 Using 2 OpenMP threads Tue Aug 4 18:34:00 2026 factoring 93459789536683463179961725927512701682832845935815254155075414072356257297875546410241745444113620222950255958142105334890489234502648050463824103310166338011596389 (164 digits) Tue Aug 4 18:34:01 2026 no P-1/P+1/ECM available, skipping Tue Aug 4 18:34:01 2026 commencing number field sieve (164-digit input) Tue Aug 4 18:34:01 2026 R0: -72913685583351497463811363080955 Tue Aug 4 18:34:01 2026 R1: 1061511569330579116889 Tue Aug 4 18:34:01 2026 A0: -11193768165038114824976232496264619394168 Tue Aug 4 18:34:01 2026 A1: 206703810110196776790908078444502 Tue Aug 4 18:34:01 2026 A2: 494504083305272974438485629 Tue Aug 4 18:34:01 2026 A3: -2313220215275602397 Tue Aug 4 18:34:01 2026 A4: -1341439300086 Tue Aug 4 18:34:01 2026 A5: 90720 Tue Aug 4 18:34:01 2026 skew 10394325.82, size 7.488e-16, alpha -8.023, combined = 9.824e-13 rroots = 3 Tue Aug 4 18:34:01 2026 Tue Aug 4 18:34:01 2026 commencing relation filtering Tue Aug 4 18:34:01 2026 estimated available RAM is 31871.6 MB Tue Aug 4 18:34:01 2026 commencing duplicate removal, pass 1 Tue Aug 4 18:34:02 2026 error -1 reading relation 128299 Tue Aug 4 18:34:07 2026 error -1 reading relation 776642 Tue Aug 4 18:34:08 2026 error -11 reading relation 908107 Tue Aug 4 18:34:47 2026 error -1 reading relation 5600544 Tue Aug 4 18:35:32 2026 error -1 reading relation 10678580 Tue Aug 4 18:35:32 2026 error -1 reading relation 10678581 Tue Aug 4 18:36:14 2026 error -1 reading relation 15110880 Tue Aug 4 18:36:35 2026 error -1 reading relation 17629050 Tue Aug 4 18:38:27 2026 error -1 reading relation 28460935 Tue Aug 4 18:38:29 2026 error -1 reading relation 28697188 Tue Aug 4 18:38:48 2026 error -1 reading relation 31243589 Tue Aug 4 18:38:51 2026 error -1 reading relation 31538178 Tue Aug 4 18:39:29 2026 error -1 reading relation 36088820 Tue Aug 4 18:40:38 2026 error -1 reading relation 44553743 Tue Aug 4 18:40:55 2026 error -15 reading relation 46733907 Tue Aug 4 18:41:37 2026 error -1 reading relation 52245598 Tue Aug 4 18:41:44 2026 error -1 reading relation 53190170 Tue Aug 4 18:42:16 2026 error -1 reading relation 57360901 Tue Aug 4 18:42:22 2026 error -1 reading relation 58168174 Tue Aug 4 18:42:22 2026 error -1 reading relation 58168175 Tue Aug 4 18:42:25 2026 error -1 reading relation 58567830 Tue Aug 4 18:42:54 2026 error -1 reading relation 62263532 Tue Aug 4 18:43:13 2026 error -1 reading relation 64810429 Tue Aug 4 18:44:05 2026 error -1 reading relation 71704041 Tue Aug 4 18:44:05 2026 error -1 reading relation 71704042 Tue Aug 4 18:44:14 2026 error -1 reading relation 72862862 Tue Aug 4 18:44:14 2026 error -1 reading relation 72862863 Tue Aug 4 18:44:18 2026 error -1 reading relation 73413893 Tue Aug 4 18:44:18 2026 error -1 reading relation 73413894 Tue Aug 4 18:44:24 2026 error -1 reading relation 74210223 Tue Aug 4 18:44:31 2026 error -1 reading relation 75211982 Tue Aug 4 18:44:31 2026 error -1 reading relation 75211983 Tue Aug 4 18:44:51 2026 error -1 reading relation 77812708 Tue Aug 4 18:46:10 2026 error -1 reading relation 88201065 Tue Aug 4 18:46:24 2026 error -1 reading relation 89962879 Tue Aug 4 18:46:42 2026 error -1 reading relation 92384165 Tue Aug 4 18:47:08 2026 error -1 reading relation 95890019 Tue Aug 4 18:48:52 2026 error -1 reading relation 109699585 Tue Aug 4 18:49:27 2026 skipped 5 malformed relations Tue Aug 4 18:49:27 2026 found 5671016 hash collisions in 114310021 relations Tue Aug 4 18:50:01 2026 added 121663 free relations Tue Aug 4 18:50:01 2026 commencing duplicate removal, pass 2 Tue Aug 4 18:51:19 2026 found 0 duplicates and 114431684 unique relations Tue Aug 4 18:51:19 2026 memory use: 394.4 MB Tue Aug 4 18:51:19 2026 reading ideals above 720000 Tue Aug 4 18:51:19 2026 commencing singleton removal, initial pass Tue Aug 4 19:14:22 2026 memory use: 3012.0 MB Tue Aug 4 19:14:22 2026 reading all ideals from disk Tue Aug 4 19:15:24 2026 memory use: 5170.3 MB Tue Aug 4 19:16:08 2026 keeping 114709396 ideals with weight <= 200, target excess is 607340 Tue Aug 4 19:16:36 2026 commencing in-memory singleton removal Tue Aug 4 19:16:52 2026 begin with 114431684 relations and 114709396 unique ideals Tue Aug 4 19:18:28 2026 reduce to 56388791 relations and 48896474 ideals in 17 passes Tue Aug 4 19:18:28 2026 max relations containing the same ideal: 132 Tue Aug 4 19:19:32 2026 removing 6561425 relations and 5561425 ideals in 1000000 cliques Tue Aug 4 19:19:35 2026 commencing in-memory singleton removal Tue Aug 4 19:19:42 2026 begin with 49827366 relations and 48896474 unique ideals Tue Aug 4 19:20:17 2026 reduce to 49280285 relations and 42775852 ideals in 9 passes Tue Aug 4 19:20:17 2026 max relations containing the same ideal: 118 Tue Aug 4 19:21:07 2026 removing 4961258 relations and 3961258 ideals in 1000000 cliques Tue Aug 4 19:21:11 2026 commencing in-memory singleton removal Tue Aug 4 19:21:16 2026 begin with 44319027 relations and 42775852 unique ideals Tue Aug 4 19:21:46 2026 reduce to 43949679 relations and 38437856 ideals in 9 passes Tue Aug 4 19:21:46 2026 max relations containing the same ideal: 110 Tue Aug 4 19:22:31 2026 removing 4469211 relations and 3469211 ideals in 1000000 cliques Tue Aug 4 19:22:34 2026 commencing in-memory singleton removal Tue Aug 4 19:22:39 2026 begin with 39480468 relations and 38437856 unique ideals Tue Aug 4 19:23:06 2026 reduce to 39147519 relations and 34628712 ideals in 9 passes Tue Aug 4 19:23:06 2026 max relations containing the same ideal: 100 Tue Aug 4 19:23:46 2026 removing 4216653 relations and 3216653 ideals in 1000000 cliques Tue Aug 4 19:23:49 2026 commencing in-memory singleton removal Tue Aug 4 19:23:53 2026 begin with 34930866 relations and 34628712 unique ideals Tue Aug 4 19:24:12 2026 reduce to 34603509 relations and 31077273 ideals in 8 passes Tue Aug 4 19:24:12 2026 max relations containing the same ideal: 92 Tue Aug 4 19:24:49 2026 removing 4054771 relations and 3054771 ideals in 1000000 cliques Tue Aug 4 19:24:51 2026 commencing in-memory singleton removal Tue Aug 4 19:24:55 2026 begin with 30548738 relations and 31077273 unique ideals Tue Aug 4 19:25:11 2026 reduce to 30215291 relations and 27680636 ideals in 8 passes Tue Aug 4 19:25:11 2026 max relations containing the same ideal: 85 Tue Aug 4 19:25:43 2026 removing 3947034 relations and 2947034 ideals in 1000000 cliques Tue Aug 4 19:25:45 2026 commencing in-memory singleton removal Tue Aug 4 19:25:48 2026 begin with 26268257 relations and 27680636 unique ideals Tue Aug 4 19:26:02 2026 reduce to 25915943 relations and 24371427 ideals in 8 passes Tue Aug 4 19:26:02 2026 max relations containing the same ideal: 75 Tue Aug 4 19:26:30 2026 removing 3368477 relations and 2528476 ideals in 840001 cliques Tue Aug 4 19:26:32 2026 commencing in-memory singleton removal Tue Aug 4 19:26:35 2026 begin with 22547466 relations and 24371427 unique ideals Tue Aug 4 19:26:47 2026 reduce to 22259503 relations and 21547132 ideals in 8 passes Tue Aug 4 19:26:47 2026 max relations containing the same ideal: 69 Tue Aug 4 19:27:15 2026 relations with 0 large ideals: 2103 Tue Aug 4 19:27:15 2026 relations with 1 large ideals: 11686 Tue Aug 4 19:27:15 2026 relations with 2 large ideals: 163850 Tue Aug 4 19:27:15 2026 relations with 3 large ideals: 972695 Tue Aug 4 19:27:15 2026 relations with 4 large ideals: 3044274 Tue Aug 4 19:27:15 2026 relations with 5 large ideals: 5535083 Tue Aug 4 19:27:15 2026 relations with 6 large ideals: 6149111 Tue Aug 4 19:27:15 2026 relations with 7+ large ideals: 6380701 Tue Aug 4 19:27:15 2026 commencing 2-way merge Tue Aug 4 19:27:49 2026 reduce to 13847688 relation sets and 13135317 unique ideals Tue Aug 4 19:27:49 2026 commencing full merge Tue Aug 4 19:36:49 2026 memory use: 1635.9 MB Tue Aug 4 19:36:52 2026 found 6924566 cycles, need 6825517 Tue Aug 4 19:36:57 2026 weight of 6825517 cycles is about 614579662 (90.04/cycle) Tue Aug 4 19:36:57 2026 distribution of cycle lengths: Tue Aug 4 19:36:57 2026 1 relations: 486909 Tue Aug 4 19:36:57 2026 2 relations: 628112 Tue Aug 4 19:36:57 2026 3 relations: 684995 Tue Aug 4 19:36:57 2026 4 relations: 668682 Tue Aug 4 19:36:57 2026 5 relations: 653010 Tue Aug 4 19:36:57 2026 6 relations: 606383 Tue Aug 4 19:36:57 2026 7 relations: 563595 Tue Aug 4 19:36:57 2026 8 relations: 501116 Tue Aug 4 19:36:57 2026 9 relations: 437219 Tue Aug 4 19:36:57 2026 10+ relations: 1595496 Tue Aug 4 19:36:57 2026 heaviest cycle: 22 relations Tue Aug 4 19:37:00 2026 commencing cycle optimization Tue Aug 4 19:37:28 2026 start with 45335660 relations Tue Aug 4 19:40:11 2026 pruned 1455669 relations Tue Aug 4 19:40:13 2026 memory use: 1381.4 MB Tue Aug 4 19:40:13 2026 distribution of cycle lengths: Tue Aug 4 19:40:13 2026 1 relations: 486909 Tue Aug 4 19:40:13 2026 2 relations: 643510 Tue Aug 4 19:40:13 2026 3 relations: 712976 Tue Aug 4 19:40:13 2026 4 relations: 691457 Tue Aug 4 19:40:13 2026 5 relations: 677287 Tue Aug 4 19:40:13 2026 6 relations: 625721 Tue Aug 4 19:40:13 2026 7 relations: 579771 Tue Aug 4 19:40:13 2026 8 relations: 510817 Tue Aug 4 19:40:13 2026 9 relations: 441211 Tue Aug 4 19:40:13 2026 10+ relations: 1455858 Tue Aug 4 19:40:13 2026 heaviest cycle: 22 relations Tue Aug 4 19:40:36 2026 RelProcTime: 3995 Tue Aug 4 19:40:36 2026 Tue Aug 4 19:40:36 2026 commencing linear algebra Tue Aug 4 19:40:36 2026 using VBITS=256 Tue Aug 4 19:40:37 2026 read 6825517 cycles Tue Aug 4 19:40:55 2026 cycles contain 21758361 unique relations Tue Aug 4 19:45:10 2026 read 21758361 relations Tue Aug 4 19:46:17 2026 using 20 quadratic characters above 4294917295 Tue Aug 4 19:47:36 2026 building initial matrix Tue Aug 4 19:55:03 2026 memory use: 3039.4 MB Tue Aug 4 19:55:11 2026 read 6825517 cycles Tue Aug 4 19:55:12 2026 matrix is 6825334 x 6825517 (2547.0 MB) with weight 797746637 (116.88/col) Tue Aug 4 19:55:12 2026 sparse part has weight 585767739 (85.82/col) Tue Aug 4 19:57:10 2026 filtering completed in 2 passes Tue Aug 4 19:57:13 2026 matrix is 6824039 x 6824221 (2546.8 MB) with weight 797685507 (116.89/col) Tue Aug 4 19:57:13 2026 sparse part has weight 585748064 (85.83/col) Tue Aug 4 19:57:40 2026 matrix starts at (0, 0) Tue Aug 4 19:57:41 2026 matrix is 6824039 x 6824221 (2546.8 MB) with weight 797685507 (116.89/col) Tue Aug 4 19:57:41 2026 sparse part has weight 585748064 (85.83/col) Tue Aug 4 19:57:41 2026 saving the first 240 matrix rows for later Tue Aug 4 19:57:43 2026 matrix includes 256 packed rows Tue Aug 4 19:57:46 2026 matrix is 6823799 x 6824221 (2329.2 MB) with weight 536065584 (78.55/col) Tue Aug 4 19:57:46 2026 sparse part has weight 501400231 (73.47/col) Tue Aug 4 19:57:47 2026 using GPU 0 (NVIDIA GeForce RTX 3080) Tue Aug 4 19:57:47 2026 selected card has CUDA arch 8.6 Tue Aug 4 19:59:13 2026 commencing Lanczos iteration Tue Aug 4 19:59:15 2026 memory use: 5725.7 MB Tue Aug 4 19:59:42 2026 linear algebra at 0.4%, ETA 1h36m Tue Aug 4 20:00:21 2026 checking every 70000 dimensions, checkpointing every 4270000 dimensions Tue Aug 4 21:36:36 2026 lanczos halted after 26737 iterations (dim = 6823797) Tue Aug 4 21:37:55 2026 recovered 27 nontrivial dependencies Tue Aug 4 21:37:59 2026 BLanczosTime: 7043 Tue Aug 4 21:37:59 2026 Tue Aug 4 21:37:59 2026 commencing square root phase Tue Aug 4 21:37:59 2026 handling dependencies 1 to 64 Tue Aug 4 21:37:59 2026 reading relations for dependency 1 Tue Aug 4 21:40:03 2026 read 3412148 cycles Tue Aug 4 21:40:16 2026 cycles contain 10881374 unique relations Tue Aug 4 21:43:46 2026 read 10881374 relations Tue Aug 4 21:46:15 2026 multiplying 10881374 relations Tue Aug 4 21:51:24 2026 multiply complete, coefficients have about 579.94 million bits Tue Aug 4 21:51:28 2026 initial square root is modulo 159673 Tue Aug 4 22:01:27 2026 sqrtTime: 1408 Tue Aug 4 22:01:27 2026 p81 factor: 186547633039075815199215215494764403224669986581866164333065661955962667819098563 Tue Aug 4 22:01:27 2026 p84 factor: 500996919736347446064717181492598693430064939550062773649067137926452406951265438903 Tue Aug 4 22:01:27 2026 elapsed time 03:27:27