Defining polynomial over unramified subextension
| $x^{7} + d_{0} \pi$ |
Invariants
| Residue field characteristic: | $41$ |
| Degree: | $14$ |
| Base field: | $\Q_{41}(\sqrt{41\cdot 3})$ |
| Ramification index $e$: | $7$ |
| Residue field degree $f$: | $2$ |
| Discriminant exponent $c$: | $12$ |
| Absolute Artin slopes: | $[\ ]$ |
| Swan slopes: | $[\ ]$ |
| Means: | $\langle\ \rangle$ |
| Rams: | $(\ )$ |
| Field count: | $0$ (incomplete) |
| Ambiguity: | $14$ |
| Mass: | $1$ |
| Absolute Mass: | $1/4$ ($0$ currently in the LMFDB) |
The LMFDB does not contain any fields from this family.