Defining polynomial over unramified subextension
| $x^{5} + 7$ |
Invariants
| Residue field characteristic: | $7$ |
| Degree: | $30$ |
| Base field: | $\Q_{7}$ |
| Ramification index $e$: | $5$ |
| Residue field degree $f$: | $6$ |
| Discriminant exponent $c$: | $24$ |
| Artin slopes: | $[\ ]$ |
| Swan slopes: | $[\ ]$ |
| Means: | $\langle\ \rangle$ |
| Rams: | $(\ )$ |
| Field count: | $0$ (incomplete) |
| Ambiguity: | $6$ |
| Mass: | $1$ |
| Absolute Mass: | $1/6$ ($0$ currently in the LMFDB) |
The LMFDB does not contain any fields from this family.