Defining polynomial over unramified subextension
| $x^{8} + 5d_{0}$ |
Invariants
| Residue field characteristic: | $5$ |
| Degree: | $32$ |
| Base field: | $\Q_{5}$ |
| Ramification index $e$: | $8$ |
| Residue field degree $f$: | $4$ |
| Discriminant exponent $c$: | $28$ |
| Artin slopes: | $[\ ]$ |
| Swan slopes: | $[\ ]$ |
| Means: | $\langle\ \rangle$ |
| Rams: | $(\ )$ |
| Field count: | $0$ (incomplete) |
| Ambiguity: | $32$ |
| Mass: | $1$ |
| Absolute Mass: | $1/4$ ($0$ currently in the LMFDB) |
The LMFDB does not contain any fields from this family.