| $x^{16} + a_{15} \pi x^{15} + b_{14} \pi x^{14} + a_{4} \pi x^{4} + b_{18} \pi^{2} x^{2} + b_{17} \pi^{2} x + \pi$ |
| Residue field characteristic: | $2$ |
| Degree: | $16$ |
| Base field: | $\Q_{2}(\sqrt{-5})$ |
| Ramification index $e$: | $16$ |
| Residue field degree $f$: | $1$ |
| Discriminant exponent $c$: | $30$ |
| Absolute Artin slopes: | $[\frac{4}{3},\frac{4}{3},2,\frac{25}{12},\frac{25}{12}]$ |
| Swan slopes: | $[\frac{1}{3},\frac{1}{3},\frac{7}{6},\frac{7}{6}]$ |
| Means: | $\langle\frac{1}{6},\frac{1}{4},\frac{17}{24},\frac{15}{16}\rangle$ |
| Rams: | $(\frac{1}{3},\frac{1}{3},\frac{11}{3},\frac{11}{3})$ |
| Field count: | $0$ (incomplete) |
| Ambiguity: | $1$ |
| Mass: | $8$ |
| Absolute Mass: | $4$ ($0$ currently in the LMFDB) |
The LMFDB does not contain any fields from this family.
