| $x^{8} + \left(b_{23} \pi^{3} + a_{15} \pi^{2}\right) x^{7} + a_{6} \pi x^{6} + b_{21} \pi^{3} x^{5} + b_{4} \pi x^{4} + b_{19} \pi^{3} x^{3} + b_{17} \pi^{3} x + c_{24} \pi^{4} + c_{8} \pi^{2} + \pi$ |
| Residue field characteristic: | $2$ |
| Degree: | $8$ |
| Base field: | 2.1.4.11a1.8 |
| Ramification index $e$: | $8$ |
| Residue field degree $f$: | $1$ |
| Discriminant exponent $c$: | $22$ |
| Absolute Artin slopes: | $[2,2,3,\frac{7}{2},4]$ |
| Swan slopes: | $[1,1,3]$ |
| Means: | $\langle\frac{1}{2},\frac{3}{4},\frac{15}{8}\rangle$ |
| Rams: | $(1,1,9)$ |
| Field count: | $0$ (incomplete) |
| Ambiguity: | $4$ |
| Mass: | $32$ |
| Absolute Mass: | $16$ ($0$ currently in the LMFDB) |
The LMFDB does not contain any fields from this family.
