| $x^{16} + 32 b_{79} x^{15} + 16 b_{62} x^{14} + 32 b_{77} x^{13} + 8 b_{44} x^{12} + 32 b_{75} x^{11} + 16 b_{58} x^{10} + 32 b_{73} x^{9} + 4 b_{24} x^{8} + 32 b_{71} x^{7} + 16 b_{54} x^{6} + 32 b_{69} x^{5} + 8 b_{36} x^{4} + 32 b_{67} x^{3} + 16 b_{50} x^{2} + 32 b_{65} x + 8 c_{32} + 16 c_{48} + 32 c_{64} + 64 c_{80} + 2$ |
| Residue field characteristic: | $2$ |
| Degree: | $32$ |
| Base field: | $\Q_{2}$ |
| Ramification index $e$: | $16$ |
| Residue field degree $f$: | $2$ |
| Discriminant exponent $c$: | $158$ |
| Artin slopes: | $[3,4,5,6]$ |
| Swan slopes: | $[2,3,4,5]$ |
| Means: | $\langle1,2,3,4\rangle$ |
| Rams: | $(2,4,8,16)$ |
| Field count: | $0$ (incomplete) |
| Ambiguity: | $32$ |
| Mass: | $1073741824$ |
| Absolute Mass: | $536870912$ ($0$ currently in the LMFDB) |
The LMFDB does not contain any fields from this family.
