| $x^{16} + 4 a_{31} x^{15} + 4 b_{30} x^{14} + 4 b_{28} x^{12} + 2 a_{8} x^{8} + 4 a_{20} x^{4} + 8 b_{34} x^{2} + 8 b_{33} x + 4 c_{16} + 8 c_{32} + 2$ |
| Residue field characteristic: | $2$ |
| Degree: | $32$ |
| Base field: | $\Q_{2}$ |
| Ramification index $e$: | $16$ |
| Residue field degree $f$: | $2$ |
| Discriminant exponent $c$: | $92$ |
| Artin slopes: | $[2,3,\frac{19}{6},\frac{19}{6}]$ |
| Swan slopes: | $[1,2,\frac{13}{6},\frac{13}{6}]$ |
| Means: | $\langle\frac{1}{2},\frac{5}{4},\frac{41}{24},\frac{31}{16}\rangle$ |
| Rams: | $(1,3,\frac{11}{3},\frac{11}{3})$ |
| Field count: | $0$ (incomplete) |
| Ambiguity: | $8$ |
| Mass: | $6912$ |
| Absolute Mass: | $3456$ ($0$ currently in the LMFDB) |
The LMFDB does not contain any fields from this family.
