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Results (displaying all 8 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 13.1.469804094334435328.1 | x13 + 13x11 + 65x9 + 156x7 + 182x5 + 91x3 + 13x - 2 | \( 2^{18}\cdot 13^{11} \) | $F_{13}$ (as 13T6) | Trivial |
| 13.1.1240576436601868288.1 | x13 - 2 | \( 2^{12}\cdot 13^{13} \) | $F_{13}$ (as 13T6) | Trivial |
| 13.1.160960249522493526573.1 | x13 - 3 | \( 3^{12}\cdot 13^{13} \) | $F_{13}$ (as 13T6) | Trivial |
| 13.1.73944117820374267578125.1 | x13 - 5 | \( 5^{12}\cdot 13^{13} \) | $F_{13}$ (as 13T6) | Trivial (GRH) |
| 13.13.145952577189773202214912.1 | x13 - 26x11 + 260x9 - 1248x7 + 2912x5 - 2912x3 + 832x - 176 | \( 2^{12}\cdot 7^{6}\cdot 13^{13} \) | $F_{13}$ (as 13T6) | Trivial |
| 13.1.659293182044133484843008.1 | x13 - 6 | \( 2^{12}\cdot 3^{12}\cdot 13^{13} \) | $F_{13}$ (as 13T6) | Trivial (GRH) |
| 13.1.4192181336376862174653853.1 | x13 - 7 | \( 7^{12}\cdot 13^{13} \) | $F_{13}$ (as 13T6) | Trivial (GRH) |
| 13.13.302875106592253000000000000.1 | x13 - 65x11 + 1625x9 - 19500x7 + 113750x5 - 284375x3 + 203125x - 69500 | \( 2^{12}\cdot 5^{12}\cdot 13^{13} \) | $F_{13}$ (as 13T6) | Trivial (GRH) |