| $x^{32} + 8 b_{95} x^{31} + 4 b_{62} x^{30} + 8 b_{93} x^{29} + 8 b_{91} x^{27} + 4 b_{58} x^{26} + 8 b_{89} x^{25} + 8 b_{87} x^{23} + 4 b_{54} x^{22} + 8 b_{85} x^{21} + 8 b_{83} x^{19} + 4 a_{50} x^{18} + 8 b_{81} x^{17} + 2 a_{16} x^{16} + 8 b_{79} x^{15} + 8 b_{77} x^{13} + 8 b_{75} x^{11} + 8 a_{73} x^{9} + 4 b_{40} x^{8} + 4 a_{36} x^{4} + 4 c_{32} + 8 c_{64} + 16 c_{96} + 2$ |
| 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: | $[2,\frac{7}{3},\frac{7}{3},3,4]$ |
| Swan slopes: | $[1,\frac{4}{3},\frac{4}{3},2,3]$ |
| Means: | $\langle\frac{1}{2},\frac{11}{12},\frac{9}{8},\frac{25}{16},\frac{73}{32}\rangle$ |
| Rams: | $(1,\frac{5}{3},\frac{5}{3},7,23)$ |
| Field count: | $0$ (incomplete) |
| Ambiguity: | $8$ |
| Mass: | $32768$ |
| Absolute Mass: | $32768$ ($0$ currently in the LMFDB) |
The LMFDB does not contain any fields from this family.
