| $x^{32} + 2 a_{31} x^{31} + 2 b_{30} x^{30} + 2 b_{28} x^{28} + 2 a_{20} x^{20} + 2 a_{8} x^{8} + 4 b_{34} x^{2} + 4 b_{33} x + 4 c_{32} + 2$ |
| Residue field characteristic: | $2$ |
| Degree: | $32$ |
| Base field: | $\Q_{2}$ |
| Ramification index $e$: | $32$ |
| Residue field degree $f$: | $1$ |
| Discriminant exponent $c$: | $62$ |
| Artin slopes: | $[\frac{4}{3},\frac{4}{3},2,\frac{25}{12},\frac{25}{12}]$ |
| Swan slopes: | $[\frac{1}{3},\frac{1}{3},1,\frac{13}{12},\frac{13}{12}]$ |
| Means: | $\langle\frac{1}{6},\frac{1}{4},\frac{5}{8},\frac{41}{48},\frac{31}{32}\rangle$ |
| Rams: | $(\frac{1}{3},\frac{1}{3},3,\frac{11}{3},\frac{11}{3})$ |
| Field count: | $0$ (incomplete) |
| Ambiguity: | $2$ |
| Mass: | $16$ |
| Absolute Mass: | $16$ ($0$ currently in the LMFDB) |
The LMFDB does not contain any fields from this family.
