Tue Nov 25 16:06:40 2025 Tue Nov 25 16:06:40 2025 Tue Nov 25 16:06:40 2025 Msieve v. 1.54 (SVN unknown) Tue Nov 25 16:06:40 2025 random seeds: 918ad20f 8a7f63ca Tue Nov 25 16:06:40 2025 factoring 844608225655744748430808373536227513771864762780098573020164857335730682906015125732891393074012625564814260628366282482927681304799230888692669990208623948337661 (162 digits) Tue Nov 25 16:06:40 2025 no P-1/P+1/ECM available, skipping Tue Nov 25 16:06:40 2025 commencing number field sieve (162-digit input) Tue Nov 25 16:06:40 2025 R0: -34038844752058923419603980162000 Tue Nov 25 16:06:40 2025 R1: 289283738114260669009 Tue Nov 25 16:06:40 2025 A0: -890298470644398478893491690804891510211 Tue Nov 25 16:06:40 2025 A1: 33740588410185150326966059220451 Tue Nov 25 16:06:40 2025 A2: -18994834062880978234539857 Tue Nov 25 16:06:40 2025 A3: -16595340701685005131 Tue Nov 25 16:06:40 2025 A4: 397120596268 Tue Nov 25 16:06:40 2025 A5: 18480 Tue Nov 25 16:06:40 2025 skew 1.00, size 1.303e-15, alpha -7.502, combined = 6.615e-15 rroots = 3 Tue Nov 25 16:06:40 2025 Tue Nov 25 16:06:40 2025 commencing relation filtering Tue Nov 25 16:06:40 2025 setting target matrix density to 100.0 Tue Nov 25 16:06:40 2025 estimated available RAM is 15954.3 MB Tue Nov 25 16:06:40 2025 commencing duplicate removal, pass 1 Tue Nov 25 16:09:16 2025 error -11 reading relation 26608603 Tue Nov 25 16:14:23 2025 found 2959527 hash collisions in 81738343 relations Tue Nov 25 16:14:49 2025 commencing duplicate removal, pass 2 Tue Nov 25 16:15:03 2025 found 1 duplicates and 81738342 unique relations Tue Nov 25 16:15:03 2025 memory use: 253.2 MB Tue Nov 25 16:15:03 2025 reading ideals above 69926912 Tue Nov 25 16:15:03 2025 commencing singleton removal, initial pass Tue Nov 25 16:20:20 2025 memory use: 1506.0 MB Tue Nov 25 16:20:20 2025 reading all ideals from disk Tue Nov 25 16:20:20 2025 memory use: 1366.7 MB Tue Nov 25 16:20:22 2025 commencing in-memory singleton removal Tue Nov 25 16:20:24 2025 begin with 81738342 relations and 75820964 unique ideals Tue Nov 25 16:20:45 2025 reduce to 40372057 relations and 28633757 ideals in 17 passes Tue Nov 25 16:20:45 2025 max relations containing the same ideal: 32 Tue Nov 25 16:20:47 2025 reading ideals above 720000 Tue Nov 25 16:20:47 2025 commencing singleton removal, initial pass Tue Nov 25 16:24:08 2025 memory use: 753.0 MB Tue Nov 25 16:24:08 2025 reading all ideals from disk Tue Nov 25 16:24:08 2025 memory use: 1486.0 MB Tue Nov 25 16:24:11 2025 keeping 36638002 ideals with weight <= 200, target excess is 215108 Tue Nov 25 16:24:13 2025 commencing in-memory singleton removal Tue Nov 25 16:24:16 2025 begin with 40372058 relations and 36638002 unique ideals Tue Nov 25 16:24:40 2025 reduce to 40259980 relations and 36525880 ideals in 11 passes Tue Nov 25 16:24:40 2025 max relations containing the same ideal: 200 Tue Nov 25 16:24:52 2025 removing 3462728 relations and 3062728 ideals in 400000 cliques Tue Nov 25 16:24:54 2025 commencing in-memory singleton removal Tue Nov 25 16:24:56 2025 begin with 36797252 relations and 36525880 unique ideals Tue Nov 25 16:25:13 2025 reduce to 36575242 relations and 33238191 ideals in 9 passes Tue Nov 25 16:25:13 2025 max relations containing the same ideal: 195 Tue Nov 25 16:25:25 2025 removing 2556092 relations and 2156092 ideals in 400000 cliques Tue Nov 25 16:25:26 2025 commencing in-memory singleton removal Tue Nov 25 16:25:28 2025 begin with 34019150 relations and 33238191 unique ideals Tue Nov 25 16:25:42 2025 reduce to 33881230 relations and 30942561 ideals in 8 passes Tue Nov 25 16:25:42 2025 max relations containing the same ideal: 188 Tue Nov 25 16:25:53 2025 removing 2271971 relations and 1871971 ideals in 400000 cliques Tue Nov 25 16:25:53 2025 commencing in-memory singleton removal Tue Nov 25 16:25:55 2025 begin with 31609259 relations and 30942561 unique ideals Tue Nov 25 16:26:09 2025 reduce to 31492646 relations and 28952636 ideals in 8 passes Tue Nov 25 16:26:09 2025 max relations containing the same ideal: 180 Tue Nov 25 16:26:18 2025 removing 2118930 relations and 1718930 ideals in 400000 cliques Tue Nov 25 16:26:19 2025 commencing in-memory singleton removal Tue Nov 25 16:26:21 2025 begin with 29373716 relations and 28952636 unique ideals Tue Nov 25 16:26:33 2025 reduce to 29265014 relations and 27123731 ideals in 8 passes Tue Nov 25 16:26:33 2025 max relations containing the same ideal: 169 Tue Nov 25 16:26:42 2025 removing 2019931 relations and 1619931 ideals in 400000 cliques Tue Nov 25 16:26:43 2025 commencing in-memory singleton removal Tue Nov 25 16:26:45 2025 begin with 27245083 relations and 27123731 unique ideals Tue Nov 25 16:26:55 2025 reduce to 27140351 relations and 25397856 ideals in 7 passes Tue Nov 25 16:26:55 2025 max relations containing the same ideal: 162 Tue Nov 25 16:27:03 2025 removing 1948534 relations and 1548534 ideals in 400000 cliques Tue Nov 25 16:27:04 2025 commencing in-memory singleton removal Tue Nov 25 16:27:05 2025 begin with 25191817 relations and 25397856 unique ideals Tue Nov 25 16:27:16 2025 reduce to 25087720 relations and 23743931 ideals in 8 passes Tue Nov 25 16:27:16 2025 max relations containing the same ideal: 155 Tue Nov 25 16:27:23 2025 removing 1900346 relations and 1500346 ideals in 400000 cliques Tue Nov 25 16:27:24 2025 commencing in-memory singleton removal Tue Nov 25 16:27:25 2025 begin with 23187374 relations and 23743931 unique ideals Tue Nov 25 16:27:34 2025 reduce to 23081823 relations and 22136599 ideals in 7 passes Tue Nov 25 16:27:34 2025 max relations containing the same ideal: 150 Tue Nov 25 16:27:41 2025 removing 1861283 relations and 1461283 ideals in 400000 cliques Tue Nov 25 16:27:42 2025 commencing in-memory singleton removal Tue Nov 25 16:27:43 2025 begin with 21220540 relations and 22136599 unique ideals Tue Nov 25 16:27:52 2025 reduce to 21111105 relations and 20564315 ideals in 8 passes Tue Nov 25 16:27:52 2025 max relations containing the same ideal: 139 Tue Nov 25 16:27:58 2025 removing 1437883 relations and 1140619 ideals in 297264 cliques Tue Nov 25 16:27:59 2025 commencing in-memory singleton removal Tue Nov 25 16:28:00 2025 begin with 19673222 relations and 20564315 unique ideals Tue Nov 25 16:28:07 2025 reduce to 19604799 relations and 19354410 ideals in 7 passes Tue Nov 25 16:28:07 2025 max relations containing the same ideal: 130 Tue Nov 25 16:28:16 2025 relations with 0 large ideals: 762 Tue Nov 25 16:28:16 2025 relations with 1 large ideals: 975 Tue Nov 25 16:28:16 2025 relations with 2 large ideals: 16332 Tue Nov 25 16:28:16 2025 relations with 3 large ideals: 154705 Tue Nov 25 16:28:16 2025 relations with 4 large ideals: 798221 Tue Nov 25 16:28:16 2025 relations with 5 large ideals: 2440406 Tue Nov 25 16:28:16 2025 relations with 6 large ideals: 4626928 Tue Nov 25 16:28:16 2025 relations with 7+ large ideals: 11566470 Tue Nov 25 16:28:16 2025 commencing 2-way merge Tue Nov 25 16:28:25 2025 reduce to 12110205 relation sets and 11859816 unique ideals Tue Nov 25 16:28:25 2025 commencing full merge Tue Nov 25 16:31:30 2025 memory use: 1523.4 MB Tue Nov 25 16:31:31 2025 found 5794293 cycles, need 5770016 Tue Nov 25 16:31:33 2025 weight of 5770016 cycles is about 577161692 (100.03/cycle) Tue Nov 25 16:31:33 2025 distribution of cycle lengths: Tue Nov 25 16:31:33 2025 1 relations: 418273 Tue Nov 25 16:31:33 2025 2 relations: 504480 Tue Nov 25 16:31:33 2025 3 relations: 528707 Tue Nov 25 16:31:33 2025 4 relations: 509074 Tue Nov 25 16:31:33 2025 5 relations: 488110 Tue Nov 25 16:31:33 2025 6 relations: 452417 Tue Nov 25 16:31:33 2025 7 relations: 425570 Tue Nov 25 16:31:33 2025 8 relations: 386789 Tue Nov 25 16:31:33 2025 9 relations: 348811 Tue Nov 25 16:31:33 2025 10+ relations: 1707785 Tue Nov 25 16:31:33 2025 heaviest cycle: 27 relations Tue Nov 25 16:31:34 2025 commencing cycle optimization Tue Nov 25 16:31:42 2025 start with 42594174 relations Tue Nov 25 16:32:40 2025 pruned 1458265 relations Tue Nov 25 16:32:40 2025 memory use: 1249.8 MB Tue Nov 25 16:32:40 2025 distribution of cycle lengths: Tue Nov 25 16:32:40 2025 1 relations: 418273 Tue Nov 25 16:32:40 2025 2 relations: 517150 Tue Nov 25 16:32:40 2025 3 relations: 549778 Tue Nov 25 16:32:40 2025 4 relations: 525544 Tue Nov 25 16:32:40 2025 5 relations: 506237 Tue Nov 25 16:32:40 2025 6 relations: 466986 Tue Nov 25 16:32:40 2025 7 relations: 438008 Tue Nov 25 16:32:40 2025 8 relations: 395350 Tue Nov 25 16:32:40 2025 9 relations: 355295 Tue Nov 25 16:32:40 2025 10+ relations: 1597395 Tue Nov 25 16:32:40 2025 heaviest cycle: 27 relations Tue Nov 25 16:32:49 2025 RelProcTime: 1569 Tue Nov 25 16:32:49 2025 Tue Nov 25 16:32:49 2025 commencing linear algebra Tue Nov 25 16:32:49 2025 using VBITS=512 Tue Nov 25 16:32:49 2025 read 5770016 cycles Tue Nov 25 16:32:58 2025 cycles contain 19427403 unique relations Tue Nov 25 16:34:04 2025 read 19427403 relations Tue Nov 25 16:34:23 2025 using 20 quadratic characters above 4294917295 Tue Nov 25 16:35:38 2025 building initial matrix Tue Nov 25 16:38:44 2025 memory use: 2683.4 MB Tue Nov 25 16:38:46 2025 read 5770016 cycles Tue Nov 25 16:38:47 2025 matrix is 5769838 x 5770016 (2347.5 MB) with weight 725065010 (125.66/col) Tue Nov 25 16:38:47 2025 sparse part has weight 546130328 (94.65/col) Tue Nov 25 16:39:40 2025 filtering completed in 2 passes Tue Nov 25 16:39:41 2025 matrix is 5769469 x 5769646 (2347.4 MB) with weight 725049564 (125.67/col) Tue Nov 25 16:39:41 2025 sparse part has weight 546126896 (94.66/col) Tue Nov 25 16:39:51 2025 matrix starts at (0, 0) Tue Nov 25 16:39:52 2025 matrix is 5769469 x 5769646 (2347.4 MB) with weight 725049564 (125.67/col) Tue Nov 25 16:39:52 2025 sparse part has weight 546126896 (94.66/col) Tue Nov 25 16:39:52 2025 saving the first 496 matrix rows for later Tue Nov 25 16:39:53 2025 matrix includes 512 packed rows Tue Nov 25 16:39:57 2025 matrix is 5768973 x 5769646 (2189.3 MB) with weight 464122494 (80.44/col) Tue Nov 25 16:39:57 2025 sparse part has weight 435448693 (75.47/col) Tue Nov 25 16:39:57 2025 using GPU 0 (NVIDIA GeForce RTX 3060) Tue Nov 25 16:39:57 2025 selected card has CUDA arch 8.6 Tue Nov 25 16:40:25 2025 commencing Lanczos iteration Tue Nov 25 16:40:25 2025 memory use: 6227.5 MB Tue Nov 25 16:40:45 2025 linear algebra at 0.3%, ETA 1h58m Tue Nov 25 16:40:46 2025 checkpointing every 2860000 dimensions Tue Nov 25 19:19:14 2025 Tue Nov 25 19:19:14 2025 Tue Nov 25 19:19:14 2025 Msieve v. 1.54 (SVN unknown) Tue Nov 25 19:19:14 2025 random seeds: 60da5356 5620520f Tue Nov 25 19:19:14 2025 factoring 844608225655744748430808373536227513771864762780098573020164857335730682906015125732891393074012625564814260628366282482927681304799230888692669990208623948337661 (162 digits) Tue Nov 25 19:19:15 2025 no P-1/P+1/ECM available, skipping Tue Nov 25 19:19:15 2025 commencing number field sieve (162-digit input) Tue Nov 25 19:19:15 2025 R0: -34038844752058923419603980162000 Tue Nov 25 19:19:15 2025 R1: 289283738114260669009 Tue Nov 25 19:19:15 2025 A0: -890298470644398478893491690804891510211 Tue Nov 25 19:19:15 2025 A1: 33740588410185150326966059220451 Tue Nov 25 19:19:15 2025 A2: -18994834062880978234539857 Tue Nov 25 19:19:15 2025 A3: -16595340701685005131 Tue Nov 25 19:19:15 2025 A4: 397120596268 Tue Nov 25 19:19:15 2025 A5: 18480 Tue Nov 25 19:19:15 2025 skew 1.00, size 1.303e-15, alpha -7.502, combined = 6.615e-15 rroots = 3 Tue Nov 25 19:19:15 2025 Tue Nov 25 19:19:15 2025 commencing linear algebra Tue Nov 25 19:19:15 2025 using VBITS=512 Tue Nov 25 19:19:20 2025 matrix starts at (0, 0) Tue Nov 25 19:19:21 2025 matrix is 5769469 x 5769646 (2347.4 MB) with weight 725049564 (125.67/col) Tue Nov 25 19:19:21 2025 sparse part has weight 546126896 (94.66/col) Tue Nov 25 19:19:21 2025 saving the first 496 matrix rows for later Tue Nov 25 19:19:23 2025 matrix includes 512 packed rows Tue Nov 25 19:19:26 2025 matrix is 5768973 x 5769646 (2189.3 MB) with weight 464122494 (80.44/col) Tue Nov 25 19:19:26 2025 sparse part has weight 435448693 (75.47/col) Tue Nov 25 19:19:27 2025 using GPU 0 (NVIDIA GeForce RTX 3060) Tue Nov 25 19:19:27 2025 selected card has CUDA arch 8.6 Tue Nov 25 19:19:54 2025 commencing Lanczos iteration Tue Nov 25 19:19:55 2025 memory use: 6227.5 MB Tue Nov 25 19:20:00 2025 restarting at iteration 5595 (dim = 2860422) Tue Nov 25 19:20:15 2025 checkpointing every 2950000 dimensions Tue Nov 25 19:20:19 2025 linear algebra at 49.8%, ETA 0h59m Tue Nov 25 20:28:42 2025 lanczos halted after 11286 iterations (dim = 5768972) Tue Nov 25 20:29:55 2025 recovered 28 nontrivial dependencies Tue Nov 25 20:29:56 2025 BLanczosTime: 4241 Tue Nov 25 20:29:56 2025 elapsed time 01:10:42 Tue Nov 25 20:30:03 2025 Tue Nov 25 20:30:03 2025 Tue Nov 25 20:30:03 2025 Msieve v. 1.54 (SVN unknown) Tue Nov 25 20:30:03 2025 random seeds: 930edd11 8aecdaf0 Tue Nov 25 20:30:03 2025 factoring 844608225655744748430808373536227513771864762780098573020164857335730682906015125732891393074012625564814260628366282482927681304799230888692669990208623948337661 (162 digits) Tue Nov 25 20:30:03 2025 no P-1/P+1/ECM available, skipping Tue Nov 25 20:30:03 2025 commencing number field sieve (162-digit input) Tue Nov 25 20:30:03 2025 R0: -34038844752058923419603980162000 Tue Nov 25 20:30:03 2025 R1: 289283738114260669009 Tue Nov 25 20:30:03 2025 A0: -890298470644398478893491690804891510211 Tue Nov 25 20:30:03 2025 A1: 33740588410185150326966059220451 Tue Nov 25 20:30:03 2025 A2: -18994834062880978234539857 Tue Nov 25 20:30:03 2025 A3: -16595340701685005131 Tue Nov 25 20:30:03 2025 A4: 397120596268 Tue Nov 25 20:30:03 2025 A5: 18480 Tue Nov 25 20:30:03 2025 skew 1.00, size 1.303e-15, alpha -7.502, combined = 6.615e-15 rroots = 3 Tue Nov 25 20:30:03 2025 Tue Nov 25 20:30:03 2025 commencing square root phase Tue Nov 25 20:30:03 2025 reading relations for dependency 1 Tue Nov 25 20:30:04 2025 read 2882936 cycles Tue Nov 25 20:30:08 2025 cycles contain 9710318 unique relations Tue Nov 25 20:30:44 2025 read 9710318 relations Tue Nov 25 20:31:20 2025 multiplying 9710318 relations Tue Nov 25 20:38:33 2025 multiply complete, coefficients have about 496.84 million bits Tue Nov 25 20:38:35 2025 initial square root is modulo 822087131 Tue Nov 25 20:47:19 2025 sqrtTime: 1036 Tue Nov 25 20:47:19 2025 p75 factor: 863425840462808878366296872939057130669031590009177101582661861870908354249 Tue Nov 25 20:47:19 2025 p87 factor: 978205870237821915098944303643646546778276209506012746295892983413482602949871473565589 Tue Nov 25 20:47:19 2025 elapsed time 00:17:16