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Results (displaying all 5 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 13.1.57655000561921.1 | x13 - 3x12 + 7x11 - 10x10 + 15x9 - 17x8 + 19x7 - 18x6 + 15x5 - 12x4 + 6x3 - 3x2 + 2x - 1 | \( 7^{4}\cdot 83^{2}\cdot 1867^{2} \) | $A_{13}$ (as 13T8) | Trivial |
| 13.1.1414971204906609.1 | x13 - x12 + x11 + x10 - x9 + x8 - x7 + 4x5 - 5x4 + 4x3 - 2x + 1 | \( 3^{6}\cdot 7^{2}\cdot 29^{2}\cdot 6863^{2} \) | $A_{13}$ (as 13T8) | Trivial |
| 13.5.5749519947196921.1 | x13 - 2x12 - 3x11 + 7x10 + 5x9 - 16x8 - 6x7 + 18x6 + 2x5 - 16x4 - 4x3 + 7x2 + x - 1 | \( 7^{4}\cdot 241^{2}\cdot 6421^{2} \) | $A_{13}$ (as 13T8) | Trivial |
| 13.5.274918279650903001.1 | x13 - 3x11 - 2x10 + 2x9 + 4x8 - 2x7 - 3x6 - x5 + 3x4 - 4x2 + 1 | \( 47^{2}\cdot 89^{2}\cdot 163^{2}\cdot 769^{2} \) | $A_{13}$ (as 13T8) | Trivial |
| 13.13.30876721812776703244552125405887603759765625.1 | x13 - 2x12 - 306x11 + 737x10 + 35420x9 - 94473x8 - 1919784x7 + 5276958x6 + 48766779x5 - 126847180x4 - 502327474x3 + 1061716068x2 + 1350962689x - 1362894158 | \( 3^{28}\cdot 5^{18}\cdot 29^{12} \) | $A_{13}$ (as 13T8) | Trivial (GRH) |