Further refine search
Results (displaying all 7 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 7.1.2892422420992.1 | x7 - 3x6 + 22x5 - 130x4 + 380x3 - 372x2 - 472x + 904 | \( -\,2^{9}\cdot 13^{3}\cdot 137^{3} \) | $D_{7}$ (as 7T2) | $[167]$ |
| 7.1.32666728508063.1 | x7 - 3x6 - 3x5 + 15x4 - 214x3 + 580x2 + 968x - 7744 | \( -\,13^{3}\cdot 2459^{3} \) | $D_{7}$ (as 7T2) | $[127]$ |
| 7.1.62110699441984375.2 | x7 - 845 | \( -\,5^{6}\cdot 7^{7}\cdot 13^{6} \) | $F_7$ (as 7T4) | $[7, 28]$ |
| 7.1.357109822457554887.2 | x7 - 87 | \( -\,3^{6}\cdot 7^{7}\cdot 29^{6} \) | $F_7$ (as 7T4) | $[14, 14]$ |
| 7.1.489862582246303000000.1 | x7 - 16820 | \( -\,2^{6}\cdot 5^{6}\cdot 7^{7}\cdot 29^{6} \) | $F_7$ (as 7T4) | $[14, 14]$ (GRH) |
| 7.7.1773072820280203395121.6 | x7 - 1491x5 - 29323x4 - 118783x3 + 662004x2 + 1844864x + 899641 | \( 7^{12}\cdot 71^{6} \) | $C_7$ (as 7T1) | $[2, 2, 2, 2, 2, 14]$ (GRH) |
| 7.1.39198119055423120060352.7 | x7 - 602 | \( -\,2^{6}\cdot 7^{13}\cdot 43^{6} \) | $F_7$ (as 7T4) | $[7, 21]$ (GRH) |