| $x^{16} + 2 b_{14} x^{14} + 4 c_{28} x^{12} + 4 b_{27} x^{11} + 2 a_{10} x^{10} + 4 b_{25} x^{9} + 4 b_{23} x^{7} + 4 b_{21} x^{5} + 2 a_{4} x^{4} + 4 a_{19} x^{3} + 4 c_{16} + 2$ |
| Residue field characteristic: | $2$ |
| Degree: | $32$ |
| Base field: | $\Q_{2}$ |
| Ramification index $e$: | $16$ |
| Residue field degree $f$: | $2$ |
| Discriminant exponent $c$: | $68$ |
| Artin slopes: | $[\frac{4}{3},\frac{4}{3},2,\frac{11}{4}]$ |
| Swan slopes: | $[\frac{1}{3},\frac{1}{3},1,\frac{7}{4}]$ |
| Means: | $\langle\frac{1}{6},\frac{1}{4},\frac{5}{8},\frac{19}{16}\rangle$ |
| Rams: | $(\frac{1}{3},\frac{1}{3},3,9)$ |
| Field count: | $0$ (incomplete) |
| Ambiguity: | $8$ |
| Mass: | $27648$ |
| Absolute Mass: | $13824$ ($0$ currently in the LMFDB) |
The LMFDB does not contain any fields from this family.
