Tue Jan 13 13:12:17 2026 Msieve v. 1.54 (SVN 573b9ef) Tue Jan 13 13:12:17 2026 random seeds: 7026e99b 5ec069da Tue Jan 13 13:12:17 2026 Using 32 OpenMP threads Tue Jan 13 13:12:17 2026 factoring 94098156308584376674699509834174011494120254402890951435247645315269091964489928397805899420197489417451089262071314176150583624137678330853794223892334806852117002905396892461290874717496649 (191 digits) Tue Jan 13 13:12:17 2026 no P-1/P+1/ECM available, skipping Tue Jan 13 13:12:17 2026 commencing number field sieve (191-digit input) Tue Jan 13 13:12:17 2026 R0: 855408025107380388104724554924456414053 Tue Jan 13 13:12:17 2026 R1: -1 Tue Jan 13 13:12:17 2026 A0: 1 Tue Jan 13 13:12:17 2026 A1: 1 Tue Jan 13 13:12:17 2026 A2: 1 Tue Jan 13 13:12:17 2026 A3: 1 Tue Jan 13 13:12:17 2026 A4: 1 Tue Jan 13 13:12:17 2026 A5: 1 Tue Jan 13 13:12:17 2026 A6: 1 Tue Jan 13 13:12:17 2026 skew 1.35, size 1.464e-11, alpha 2.428, combined = 8.465e-13 rroots = 0 Tue Jan 13 13:12:17 2026 Tue Jan 13 13:12:17 2026 commencing relation filtering Tue Jan 13 13:12:17 2026 setting target matrix density to 128.0 Tue Jan 13 13:12:17 2026 estimated available RAM is 128740.1 MB Tue Jan 13 13:12:17 2026 commencing duplicate removal, pass 1 Tue Jan 13 13:14:31 2026 skipped 21 relations with b > 2^32 Tue Jan 13 13:14:31 2026 found 7685023 hash collisions in 262022053 relations Tue Jan 13 13:14:31 2026 commencing duplicate removal, pass 2 Tue Jan 13 13:15:09 2026 found 0 duplicates and 262022053 unique relations Tue Jan 13 13:15:09 2026 memory use: 810.4 MB Tue Jan 13 13:15:09 2026 reading ideals above 720000 Tue Jan 13 13:15:09 2026 commencing singleton removal, initial pass Tue Jan 13 13:21:54 2026 memory use: 6024.0 MB Tue Jan 13 13:21:54 2026 reading all ideals from disk Tue Jan 13 13:21:56 2026 memory use: 12040.6 MB Tue Jan 13 13:22:06 2026 keeping 217020644 ideals with weight <= 200, target excess is 1452721 Tue Jan 13 13:22:19 2026 commencing in-memory singleton removal Tue Jan 13 13:22:23 2026 begin with 262022053 relations and 217020644 unique ideals Tue Jan 13 13:22:42 2026 reduce to 186435472 relations and 136953075 ideals in 12 passes Tue Jan 13 13:22:42 2026 max relations containing the same ideal: 172 Tue Jan 13 13:23:10 2026 removing 10591765 relations and 8591765 ideals in 2000000 cliques Tue Jan 13 13:23:13 2026 commencing in-memory singleton removal Tue Jan 13 13:23:15 2026 begin with 175843707 relations and 136953075 unique ideals Tue Jan 13 13:23:25 2026 reduce to 175362890 relations and 127873411 ideals in 8 passes Tue Jan 13 13:23:25 2026 max relations containing the same ideal: 165 Tue Jan 13 13:23:52 2026 removing 8035335 relations and 6035335 ideals in 2000000 cliques Tue Jan 13 13:23:55 2026 commencing in-memory singleton removal Tue Jan 13 13:23:57 2026 begin with 167327555 relations and 127873411 unique ideals Tue Jan 13 13:24:06 2026 reduce to 167014090 relations and 121520722 ideals in 8 passes Tue Jan 13 13:24:06 2026 max relations containing the same ideal: 159 Tue Jan 13 13:24:32 2026 removing 7276587 relations and 5276587 ideals in 2000000 cliques Tue Jan 13 13:24:35 2026 commencing in-memory singleton removal Tue Jan 13 13:24:37 2026 begin with 159737503 relations and 121520722 unique ideals Tue Jan 13 13:24:44 2026 reduce to 159468422 relations and 115971704 ideals in 6 passes Tue Jan 13 13:24:44 2026 max relations containing the same ideal: 155 Tue Jan 13 13:25:09 2026 removing 6868988 relations and 4868988 ideals in 2000000 cliques Tue Jan 13 13:25:11 2026 commencing in-memory singleton removal Tue Jan 13 13:25:13 2026 begin with 152599434 relations and 115971704 unique ideals Tue Jan 13 13:25:20 2026 reduce to 152354188 relations and 110854429 ideals in 6 passes Tue Jan 13 13:25:20 2026 max relations containing the same ideal: 148 Tue Jan 13 13:25:43 2026 removing 6607627 relations and 4607627 ideals in 2000000 cliques Tue Jan 13 13:25:45 2026 commencing in-memory singleton removal Tue Jan 13 13:25:47 2026 begin with 145746561 relations and 110854429 unique ideals Tue Jan 13 13:25:55 2026 reduce to 145516451 relations and 106013672 ideals in 8 passes Tue Jan 13 13:25:55 2026 max relations containing the same ideal: 144 Tue Jan 13 13:26:17 2026 removing 6419561 relations and 4419561 ideals in 2000000 cliques Tue Jan 13 13:26:19 2026 commencing in-memory singleton removal Tue Jan 13 13:26:21 2026 begin with 139096890 relations and 106013672 unique ideals Tue Jan 13 13:26:28 2026 reduce to 138875124 relations and 101369401 ideals in 7 passes Tue Jan 13 13:26:28 2026 max relations containing the same ideal: 142 Tue Jan 13 13:26:49 2026 removing 6278165 relations and 4278165 ideals in 2000000 cliques Tue Jan 13 13:26:51 2026 commencing in-memory singleton removal Tue Jan 13 13:26:53 2026 begin with 132596959 relations and 101369401 unique ideals Tue Jan 13 13:26:58 2026 reduce to 132380342 relations and 96871676 ideals in 6 passes Tue Jan 13 13:26:58 2026 max relations containing the same ideal: 135 Tue Jan 13 13:27:19 2026 removing 6166661 relations and 4166661 ideals in 2000000 cliques Tue Jan 13 13:27:21 2026 commencing in-memory singleton removal Tue Jan 13 13:27:23 2026 begin with 126213681 relations and 96871676 unique ideals Tue Jan 13 13:27:28 2026 reduce to 125999864 relations and 92488084 ideals in 6 passes Tue Jan 13 13:27:28 2026 max relations containing the same ideal: 133 Tue Jan 13 13:27:48 2026 removing 6077501 relations and 4077501 ideals in 2000000 cliques Tue Jan 13 13:27:50 2026 commencing in-memory singleton removal Tue Jan 13 13:27:51 2026 begin with 119922363 relations and 92488084 unique ideals Tue Jan 13 13:27:56 2026 reduce to 119708640 relations and 88193528 ideals in 6 passes Tue Jan 13 13:27:56 2026 max relations containing the same ideal: 127 Tue Jan 13 13:28:15 2026 removing 6003049 relations and 4003049 ideals in 2000000 cliques Tue Jan 13 13:28:17 2026 commencing in-memory singleton removal Tue Jan 13 13:28:19 2026 begin with 113705591 relations and 88193528 unique ideals Tue Jan 13 13:28:23 2026 reduce to 113489687 relations and 83971109 ideals in 6 passes Tue Jan 13 13:28:23 2026 max relations containing the same ideal: 121 Tue Jan 13 13:28:41 2026 removing 5945772 relations and 3945772 ideals in 2000000 cliques Tue Jan 13 13:28:43 2026 commencing in-memory singleton removal Tue Jan 13 13:28:44 2026 begin with 107543915 relations and 83971109 unique ideals Tue Jan 13 13:28:50 2026 reduce to 107324311 relations and 79802036 ideals in 7 passes Tue Jan 13 13:28:50 2026 max relations containing the same ideal: 118 Tue Jan 13 13:29:06 2026 removing 5902337 relations and 3902337 ideals in 2000000 cliques Tue Jan 13 13:29:08 2026 commencing in-memory singleton removal Tue Jan 13 13:29:10 2026 begin with 101421974 relations and 79802036 unique ideals Tue Jan 13 13:29:14 2026 reduce to 101196632 relations and 75670273 ideals in 7 passes Tue Jan 13 13:29:14 2026 max relations containing the same ideal: 113 Tue Jan 13 13:29:30 2026 removing 5864906 relations and 3864906 ideals in 2000000 cliques Tue Jan 13 13:29:32 2026 commencing in-memory singleton removal Tue Jan 13 13:29:33 2026 begin with 95331726 relations and 75670273 unique ideals Tue Jan 13 13:29:37 2026 reduce to 95097694 relations and 71566933 ideals in 6 passes Tue Jan 13 13:29:37 2026 max relations containing the same ideal: 109 Tue Jan 13 13:29:53 2026 removing 5840428 relations and 3840428 ideals in 2000000 cliques Tue Jan 13 13:29:54 2026 commencing in-memory singleton removal Tue Jan 13 13:29:55 2026 begin with 89257266 relations and 71566933 unique ideals Tue Jan 13 13:29:59 2026 reduce to 89012242 relations and 67476616 ideals in 7 passes Tue Jan 13 13:29:59 2026 max relations containing the same ideal: 104 Tue Jan 13 13:30:14 2026 removing 5824600 relations and 3824600 ideals in 2000000 cliques Tue Jan 13 13:30:16 2026 commencing in-memory singleton removal Tue Jan 13 13:30:17 2026 begin with 83187642 relations and 67476616 unique ideals Tue Jan 13 13:30:20 2026 reduce to 82929710 relations and 63388696 ideals in 6 passes Tue Jan 13 13:30:20 2026 max relations containing the same ideal: 100 Tue Jan 13 13:30:34 2026 removing 5813979 relations and 3813979 ideals in 2000000 cliques Tue Jan 13 13:30:36 2026 commencing in-memory singleton removal Tue Jan 13 13:30:37 2026 begin with 77115731 relations and 63388696 unique ideals Tue Jan 13 13:30:40 2026 reduce to 76843055 relations and 59295946 ideals in 6 passes Tue Jan 13 13:30:40 2026 max relations containing the same ideal: 94 Tue Jan 13 13:30:52 2026 removing 5816789 relations and 3816789 ideals in 2000000 cliques Tue Jan 13 13:30:54 2026 commencing in-memory singleton removal Tue Jan 13 13:30:55 2026 begin with 71026266 relations and 59295946 unique ideals Tue Jan 13 13:30:58 2026 reduce to 70730842 relations and 55176923 ideals in 8 passes Tue Jan 13 13:30:58 2026 max relations containing the same ideal: 91 Tue Jan 13 13:31:10 2026 removing 5832768 relations and 3832768 ideals in 2000000 cliques Tue Jan 13 13:31:12 2026 commencing in-memory singleton removal Tue Jan 13 13:31:12 2026 begin with 64898074 relations and 55176923 unique ideals Tue Jan 13 13:31:15 2026 reduce to 64575960 relations and 51013935 ideals in 7 passes Tue Jan 13 13:31:15 2026 max relations containing the same ideal: 84 Tue Jan 13 13:31:26 2026 removing 5859412 relations and 3859412 ideals in 2000000 cliques Tue Jan 13 13:31:28 2026 commencing in-memory singleton removal Tue Jan 13 13:31:28 2026 begin with 58716548 relations and 51013935 unique ideals Tue Jan 13 13:31:31 2026 reduce to 58359523 relations and 46787726 ideals in 6 passes Tue Jan 13 13:31:31 2026 max relations containing the same ideal: 79 Tue Jan 13 13:31:41 2026 removing 5903175 relations and 3903175 ideals in 2000000 cliques Tue Jan 13 13:31:42 2026 commencing in-memory singleton removal Tue Jan 13 13:31:43 2026 begin with 52456348 relations and 46787726 unique ideals Tue Jan 13 13:31:45 2026 reduce to 52052906 relations and 42468857 ideals in 7 passes Tue Jan 13 13:31:45 2026 max relations containing the same ideal: 73 Tue Jan 13 13:31:54 2026 removing 5965417 relations and 3965417 ideals in 2000000 cliques Tue Jan 13 13:31:56 2026 commencing in-memory singleton removal Tue Jan 13 13:31:56 2026 begin with 46087489 relations and 42468857 unique ideals Tue Jan 13 13:31:58 2026 reduce to 45621947 relations and 38022492 ideals in 7 passes Tue Jan 13 13:31:58 2026 max relations containing the same ideal: 66 Tue Jan 13 13:32:07 2026 removing 6053285 relations and 4053285 ideals in 2000000 cliques Tue Jan 13 13:32:08 2026 commencing in-memory singleton removal Tue Jan 13 13:32:08 2026 begin with 39568662 relations and 38022492 unique ideals Tue Jan 13 13:32:10 2026 reduce to 39007661 relations and 33386687 ideals in 7 passes Tue Jan 13 13:32:10 2026 max relations containing the same ideal: 60 Tue Jan 13 13:32:17 2026 removing 6175829 relations and 4175829 ideals in 2000000 cliques Tue Jan 13 13:32:18 2026 commencing in-memory singleton removal Tue Jan 13 13:32:19 2026 begin with 32831832 relations and 33386687 unique ideals Tue Jan 13 13:32:20 2026 reduce to 32128156 relations and 28475574 ideals in 8 passes Tue Jan 13 13:32:20 2026 max relations containing the same ideal: 54 Tue Jan 13 13:32:27 2026 removing 6265227 relations and 4297802 ideals in 1967425 cliques Tue Jan 13 13:32:28 2026 commencing in-memory singleton removal Tue Jan 13 13:32:28 2026 begin with 25862929 relations and 28475574 unique ideals Tue Jan 13 13:32:29 2026 reduce to 24932169 relations and 23196405 ideals in 9 passes Tue Jan 13 13:32:29 2026 max relations containing the same ideal: 46 Tue Jan 13 13:32:34 2026 removing 333706 relations and 283099 ideals in 50607 cliques Tue Jan 13 13:32:35 2026 commencing in-memory singleton removal Tue Jan 13 13:32:35 2026 begin with 24598463 relations and 23196405 unique ideals Tue Jan 13 13:32:36 2026 reduce to 24594151 relations and 22908983 ideals in 6 passes Tue Jan 13 13:32:36 2026 max relations containing the same ideal: 46 Tue Jan 13 13:32:37 2026 relations with 0 large ideals: 102003 Tue Jan 13 13:32:37 2026 relations with 1 large ideals: 149043 Tue Jan 13 13:32:37 2026 relations with 2 large ideals: 967674 Tue Jan 13 13:32:37 2026 relations with 3 large ideals: 3243787 Tue Jan 13 13:32:37 2026 relations with 4 large ideals: 6025035 Tue Jan 13 13:32:37 2026 relations with 5 large ideals: 6613205 Tue Jan 13 13:32:37 2026 relations with 6 large ideals: 4458679 Tue Jan 13 13:32:37 2026 relations with 7+ large ideals: 3034725 Tue Jan 13 13:32:37 2026 commencing 2-way merge Tue Jan 13 13:32:44 2026 reduce to 15357886 relation sets and 13672718 unique ideals Tue Jan 13 13:32:44 2026 commencing full merge Tue Jan 13 13:35:47 2026 memory use: 1676.5 MB Tue Jan 13 13:35:48 2026 found 6536299 cycles, need 6520918 Tue Jan 13 13:35:50 2026 weight of 6520918 cycles is about 834896694 (128.03/cycle) Tue Jan 13 13:35:50 2026 distribution of cycle lengths: Tue Jan 13 13:35:50 2026 1 relations: 374971 Tue Jan 13 13:35:50 2026 2 relations: 361150 Tue Jan 13 13:35:50 2026 3 relations: 386135 Tue Jan 13 13:35:50 2026 4 relations: 389792 Tue Jan 13 13:35:50 2026 5 relations: 399134 Tue Jan 13 13:35:50 2026 6 relations: 400643 Tue Jan 13 13:35:50 2026 7 relations: 399609 Tue Jan 13 13:35:50 2026 8 relations: 390412 Tue Jan 13 13:35:50 2026 9 relations: 375806 Tue Jan 13 13:35:50 2026 10+ relations: 3043266 Tue Jan 13 13:35:50 2026 heaviest cycle: 28 relations Tue Jan 13 13:35:51 2026 commencing cycle optimization Tue Jan 13 13:36:00 2026 start with 64864961 relations Tue Jan 13 13:37:29 2026 pruned 3391957 relations Tue Jan 13 13:37:29 2026 memory use: 1646.2 MB Tue Jan 13 13:37:29 2026 distribution of cycle lengths: Tue Jan 13 13:37:29 2026 1 relations: 374971 Tue Jan 13 13:37:29 2026 2 relations: 368968 Tue Jan 13 13:37:29 2026 3 relations: 400877 Tue Jan 13 13:37:29 2026 4 relations: 405972 Tue Jan 13 13:37:29 2026 5 relations: 420571 Tue Jan 13 13:37:29 2026 6 relations: 422990 Tue Jan 13 13:37:29 2026 7 relations: 424157 Tue Jan 13 13:37:29 2026 8 relations: 414108 Tue Jan 13 13:37:29 2026 9 relations: 399632 Tue Jan 13 13:37:29 2026 10+ relations: 2888672 Tue Jan 13 13:37:29 2026 heaviest cycle: 28 relations Tue Jan 13 13:37:35 2026 RelProcTime: 1518 Tue Jan 13 13:37:35 2026 elapsed time 00:25:18 Tue Jan 13 14:58:31 2026 Tue Jan 13 14:58:31 2026 Tue Jan 13 14:58:31 2026 Msieve v. 1.54 (SVN 573b9ef) Tue Jan 13 14:58:31 2026 random seeds: ac474bd9 7ba8de44 Tue Jan 13 14:58:31 2026 MPI process 0 of 2 Tue Jan 13 14:58:31 2026 Using 8 OpenMP threads Tue Jan 13 14:58:31 2026 factoring 94098156308584376674699509834174011494120254402890951435247645315269091964489928397805899420197489417451089262071314176150583624137678330853794223892334806852117002905396892461290874717496649 (191 digits) Tue Jan 13 14:58:31 2026 no P-1/P+1/ECM available, skipping Tue Jan 13 14:58:31 2026 commencing number field sieve (191-digit input) Tue Jan 13 14:58:31 2026 R0: 855408025107380388104724554924456414053 Tue Jan 13 14:58:31 2026 R1: -1 Tue Jan 13 14:58:31 2026 A0: 1 Tue Jan 13 14:58:31 2026 A1: 1 Tue Jan 13 14:58:31 2026 A2: 1 Tue Jan 13 14:58:31 2026 A3: 1 Tue Jan 13 14:58:31 2026 A4: 1 Tue Jan 13 14:58:31 2026 A5: 1 Tue Jan 13 14:58:31 2026 A6: 1 Tue Jan 13 14:58:31 2026 skew 1.35, size 1.464e-11, alpha 2.428, combined = 8.465e-13 rroots = 0 Tue Jan 13 14:58:31 2026 Tue Jan 13 14:58:31 2026 commencing linear algebra Tue Jan 13 14:58:31 2026 using VBITS=256 Tue Jan 13 14:58:31 2026 initialized process (0,0) of 1 x 2 grid Tue Jan 13 14:58:32 2026 read 6520918 cycles Tue Jan 13 14:58:43 2026 cycles contain 23610583 unique relations Tue Jan 13 14:59:03 2026 read 23610583 relations Tue Jan 13 14:59:07 2026 using 20 quadratic characters above 4294917295 Tue Jan 13 14:59:15 2026 building initial matrix Tue Jan 13 15:02:49 2026 memory use: 2880.9 MB Tue Jan 13 15:02:52 2026 read 6520918 cycles Tue Jan 13 15:02:53 2026 matrix is 6520741 x 6520918 (3210.5 MB) with weight 910931421 (139.69/col) Tue Jan 13 15:02:53 2026 sparse part has weight 769884240 (118.06/col) Tue Jan 13 15:03:37 2026 filtering completed in 2 passes Tue Jan 13 15:03:38 2026 matrix is 6520491 x 6520655 (3210.5 MB) with weight 910922239 (139.70/col) Tue Jan 13 15:03:38 2026 sparse part has weight 769880784 (118.07/col) Tue Jan 13 15:03:50 2026 matrix starts at (0, 0) Tue Jan 13 15:03:50 2026 matrix is 6520491 x 3260324 (1605.2 MB) with weight 455462403 (139.70/col) Tue Jan 13 15:03:50 2026 sparse part has weight 384940560 (118.07/col) Tue Jan 13 15:03:50 2026 saving the first 240 matrix rows for later Tue Jan 13 15:03:51 2026 matrix includes 256 packed rows Tue Jan 13 15:03:52 2026 matrix is 6520251 x 3260324 (1462.4 MB) with weight 350141362 (107.39/col) Tue Jan 13 15:03:52 2026 sparse part has weight 331188403 (101.58/col) Tue Jan 13 15:03:53 2026 using GPU 0 (NVIDIA GeForce RTX 3090 Ti) Tue Jan 13 15:03:53 2026 selected card has CUDA arch 8.6 Tue Jan 13 15:04:09 2026 commencing Lanczos iteration Tue Jan 13 15:04:09 2026 memory use: 3658.5 MB Tue Jan 13 15:04:31 2026 linear algebra at 0.5%, ETA 1h14m Tue Jan 13 15:04:52 2026 checking every 100000 dimensions, checkpointing every 6600000 dimensions Tue Jan 13 15:52:50 2026 lanczos halted after 25547 iterations (dim = 6520250) Tue Jan 13 15:53:08 2026 recovered 38 nontrivial dependencies Tue Jan 13 15:53:08 2026 BLanczosTime: 3277 Tue Jan 13 15:53:08 2026 elapsed time 00:54:37 Tue Jan 13 17:23:29 2026 Tue Jan 13 17:23:29 2026 Tue Jan 13 17:23:29 2026 Msieve v. 1.54 (SVN 573b9ef) Tue Jan 13 17:23:29 2026 random seeds: c42f700e f751c48f Tue Jan 13 17:23:29 2026 Using 32 OpenMP threads Tue Jan 13 17:23:29 2026 factoring 94098156308584376674699509834174011494120254402890951435247645315269091964489928397805899420197489417451089262071314176150583624137678330853794223892334806852117002905396892461290874717496649 (191 digits) Tue Jan 13 17:23:29 2026 no P-1/P+1/ECM available, skipping Tue Jan 13 17:23:29 2026 commencing number field sieve (191-digit input) Tue Jan 13 17:23:29 2026 R0: 855408025107380388104724554924456414053 Tue Jan 13 17:23:29 2026 R1: -1 Tue Jan 13 17:23:29 2026 A0: 1 Tue Jan 13 17:23:29 2026 A1: 1 Tue Jan 13 17:23:29 2026 A2: 1 Tue Jan 13 17:23:29 2026 A3: 1 Tue Jan 13 17:23:29 2026 A4: 1 Tue Jan 13 17:23:29 2026 A5: 1 Tue Jan 13 17:23:29 2026 A6: 1 Tue Jan 13 17:23:29 2026 skew 1.35, size 1.464e-11, alpha 2.428, combined = 8.465e-13 rroots = 0 Tue Jan 13 17:23:29 2026 Tue Jan 13 17:23:29 2026 commencing square root phase Tue Jan 13 17:23:29 2026 reading relations for dependency 1 Tue Jan 13 17:23:30 2026 read 3262450 cycles Tue Jan 13 17:23:43 2026 cycles contain 11811498 unique relations Tue Jan 13 17:24:15 2026 read 11811498 relations Tue Jan 13 17:24:39 2026 multiplying 11811498 relations Tue Jan 13 17:25:33 2026 multiply complete, coefficients have about 287.51 million bits Tue Jan 13 17:25:33 2026 initial square root is modulo 144247 Tue Jan 13 17:26:36 2026 sqrtTime: 187 Tue Jan 13 17:26:36 2026 p94 factor: 1155805528518534839389322836295927773982324270813361920071225411215277285645003666836900719243 Tue Jan 13 17:26:36 2026 p98 factor: 81413485215973675628682051723841283334041993277020829054899693480207267581315786125351031243304443 Tue Jan 13 17:26:36 2026 elapsed time 00:03:07