| $x^{16} + 8 a_{47} x^{15} + 8 b_{46} x^{14} + 4 a_{28} x^{12} + 8 b_{42} x^{10} + \left(4 b_{24} + 8 c_{40} + 16 c_{56}\right) x^{8} + 16 b_{55} x^{7} + 8 a_{38} x^{6} + 16 b_{53} x^{5} + 8 b_{36} x^{4} + 16 b_{51} x^{3} + 16 b_{49} x + 8 c_{32} + 16 c_{48} + 2$ |
| Residue field characteristic: | $2$ |
| Degree: | $32$ |
| Base field: | $\Q_{2}$ |
| Ramification index $e$: | $16$ |
| Residue field degree $f$: | $2$ |
| Discriminant exponent $c$: | $124$ |
| Artin slopes: | $[3,\frac{7}{2},4,\frac{9}{2}]$ |
| Swan slopes: | $[2,\frac{5}{2},3,\frac{7}{2}]$ |
| Means: | $\langle1,\frac{7}{4},\frac{19}{8},\frac{47}{16}\rangle$ |
| Rams: | $(2,3,5,9)$ |
| Field count: | $0$ (incomplete) |
| Ambiguity: | $32$ |
| Mass: | $1769472$ |
| Absolute Mass: | $884736$ ($0$ currently in the LMFDB) |
The LMFDB does not contain any fields from this family.
