| $x^{16} + b_{79} \pi^{5} x^{15} + b_{62} \pi^{4} x^{14} + b_{77} \pi^{5} x^{13} + b_{44} \pi^{3} x^{12} + b_{75} \pi^{5} x^{11} + b_{58} \pi^{4} x^{10} + b_{73} \pi^{5} x^{9} + \left(c_{72} \pi^{5} + b_{40} \pi^{3} + b_{24} \pi^{2}\right) x^{8} + b_{71} \pi^{5} x^{7} + \left(b_{70} \pi^{5} + a_{54} \pi^{4}\right) x^{6} + b_{69} \pi^{5} x^{5} + a_{36} \pi^{3} x^{4} + a_{67} \pi^{5} x^{3} + b_{66} \pi^{5} x^{2} + c_{80} \pi^{6} + c_{48} \pi^{4} + \pi$ |
| Residue field characteristic: | $2$ |
| Degree: | $16$ |
| Base field: | $\Q_{2}(\sqrt{-1})$ |
| Ramification index $e$: | $16$ |
| Residue field degree $f$: | $1$ |
| Discriminant exponent $c$: | $82$ |
| Absolute Artin slopes: | $[2,3,3,\frac{15}{4},4]$ |
| Swan slopes: | $[3,3,\frac{9}{2},5]$ |
| Means: | $\langle\frac{3}{2},\frac{9}{4},\frac{27}{8},\frac{67}{16}\rangle$ |
| Rams: | $(3,3,9,13)$ |
| Field count: | $0$ (incomplete) |
| Ambiguity: | $8$ |
| Mass: | $8192$ |
| Absolute Mass: | $4096$ ($0$ currently in the LMFDB) |
The LMFDB does not contain any fields from this family.
