| $x^{8} + \left(b_{39} \pi^{5} + b_{31} \pi^{4} + a_{23} \pi^{3}\right) x^{7} + a_{6} \pi x^{6} + \left(b_{37} \pi^{5} + b_{29} \pi^{4}\right) x^{5} + b_{4} \pi x^{4} + \left(b_{35} \pi^{5} + b_{27} \pi^{4}\right) x^{3} + \left(b_{33} \pi^{5} + b_{25} \pi^{4}\right) x + c_{40} \pi^{6} + c_{8} \pi^{2} + \pi$ |
| Residue field characteristic: | $2$ |
| Degree: | $8$ |
| Base field: | 2.1.4.10a1.1 |
| Ramification index $e$: | $8$ |
| Residue field degree $f$: | $1$ |
| Discriminant exponent $c$: | $30$ |
| Absolute Artin slopes: | $[2,2,3,\frac{7}{2},4]$ |
| Swan slopes: | $[1,1,5]$ |
| Means: | $\langle\frac{1}{2},\frac{3}{4},\frac{23}{8}\rangle$ |
| Rams: | $(1,1,17)$ |
| Field count: | $0$ (incomplete) |
| Ambiguity: | $4$ |
| Mass: | $512$ |
| Absolute Mass: | $256$ ($0$ currently in the LMFDB) |
The LMFDB does not contain any fields from this family.
