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Results (displaying all 3 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 14.2.1870910462700843890634765625.1 | x14 + 49x12 - 112x11 + 1008x10 - 2282x9 + 8869x8 - 10485x7 + 17297x6 + 63049x5 - 117859x4 + 627165x3 - 383670x2 + 265545x - 299295 | \( 5^{10}\cdot 7^{24} \) | $C_7:D_7.C_2$ (as 14T12) | Trivial (GRH) |
| 14.2.1870910462700843890634765625.2 | x14 + 14x12 - 154x11 - 56x10 - 203x9 + 5614x8 + 10485x7 - 64680x6 - 122360x5 + 369145x4 + 237825x3 - 1769950x2 - 396375x + 3344875 | \( 5^{10}\cdot 7^{24} \) | $C_7:D_7.C_2$ (as 14T12) | Trivial (GRH) |
| 14.14.54359540516805627060781106472576003494442683387594619140625.1 | x14 - 10562x12 - 213950x11 + 34468746x10 + 1149789082x9 - 36184911805x8 - 1712039577669x7 + 9352873618820x6 + 998854565092922x5 + 3823892392283781x4 - 231103082160131005x3 - 1753790683418315657x2 + 18209668860129269820x + 169982622681922057876 | \( 3^{6}\cdot 5^{10}\cdot 140327041^{6} \) | $C_7:D_7.C_2$ (as 14T12) | $[7]$ (GRH) |