| $x^{32} + 8 c_{92} x^{28} + 8 b_{91} x^{27} + 4 b_{58} x^{26} + 8 b_{89} x^{25} + 4 b_{56} x^{24} + 8 b_{87} x^{23} + 4 a_{54} x^{22} + 8 b_{85} x^{21} + 4 b_{52} x^{20} + 8 b_{83} x^{19} + 8 b_{81} x^{17} + 2 a_{16} x^{16} + 8 b_{79} x^{15} + 8 b_{77} x^{13} + 8 b_{75} x^{11} + 8 a_{73} x^{9} + 4 b_{40} x^{8} + 4 c_{32} + 2$ |
| Residue field characteristic: | $2$ |
| Degree: | $32$ |
| Base field: | $\Q_{2}$ |
| Ramification index $e$: | $32$ |
| Residue field degree $f$: | $1$ |
| Discriminant exponent $c$: | $104$ |
| Artin slopes: | $[2,\frac{20}{7},\frac{20}{7},\frac{20}{7},\frac{31}{8}]$ |
| Swan slopes: | $[1,\frac{13}{7},\frac{13}{7},\frac{13}{7},\frac{23}{8}]$ |
| Means: | $\langle\frac{1}{2},\frac{33}{28},\frac{85}{56},\frac{27}{16},\frac{73}{32}\rangle$ |
| Rams: | $(1,\frac{19}{7},\frac{19}{7},\frac{19}{7},19)$ |
| Field count: | $0$ (incomplete) |
| Ambiguity: | $4$ |
| Mass: | $8192$ |
| Absolute Mass: | $8192$ ($0$ currently in the LMFDB) |
The LMFDB does not contain any fields from this family.
