| $x^{16} + b_{63} \pi^{4} x^{15} + b_{46} \pi^{3} x^{14} + b_{61} \pi^{4} x^{13} + b_{28} \pi^{2} x^{12} + b_{59} \pi^{4} x^{11} + b_{42} \pi^{3} x^{10} + b_{57} \pi^{4} x^{9} + \left(c_{56} \pi^{4} + a_{8} \pi\right) x^{8} + b_{55} \pi^{4} x^{7} + \left(b_{54} \pi^{4} + a_{38} \pi^{3}\right) x^{6} + b_{53} \pi^{4} x^{5} + a_{20} \pi^{2} x^{4} + a_{51} \pi^{4} x^{3} + b_{50} \pi^{4} x^{2} + c_{64} \pi^{5} + c_{32} \pi^{3} + c_{16} \pi^{2} + \pi$ |
| Residue field characteristic: | $2$ |
| Degree: | $16$ |
| Base field: | $\Q_{2}(\sqrt{2})$ |
| Ramification index $e$: | $16$ |
| Residue field degree $f$: | $1$ |
| Discriminant exponent $c$: | $66$ |
| Absolute Artin slopes: | $[2,3,3,\frac{15}{4},4]$ |
| Swan slopes: | $[1,2,\frac{7}{2},4]$ |
| Means: | $\langle\frac{1}{2},\frac{5}{4},\frac{19}{8},\frac{51}{16}\rangle$ |
| Rams: | $(1,3,9,13)$ |
| Field count: | $0$ (incomplete) |
| Ambiguity: | $16$ |
| Mass: | $2048$ |
| Absolute Mass: | $1024$ ($0$ currently in the LMFDB) |
The LMFDB does not contain any fields from this family.
