| $x^{16} + 8 b_{47} x^{15} + 4 b_{30} x^{14} + 8 b_{45} x^{13} + 2 a_{12} x^{12} + 8 b_{43} x^{11} + 4 b_{26} x^{10} + 8 b_{41} x^{9} + 2 b_{8} x^{8} + 8 b_{39} x^{7} + 4 a_{22} x^{6} + 8 b_{37} x^{5} + 8 a_{35} x^{3} + 4 c_{16} + 8 c_{32} + 16 c_{48} + 2$ |
| Residue field characteristic: | $2$ |
| Degree: | $32$ |
| Base field: | $\Q_{2}$ |
| Ramification index $e$: | $16$ |
| Residue field degree $f$: | $2$ |
| Discriminant exponent $c$: | $100$ |
| Artin slopes: | $[2,2,3,4]$ |
| Swan slopes: | $[1,1,2,3]$ |
| Means: | $\langle\frac{1}{2},\frac{3}{4},\frac{11}{8},\frac{35}{16}\rangle$ |
| Rams: | $(1,1,5,13)$ |
| Field count: | $0$ (incomplete) |
| Ambiguity: | $32$ |
| Mass: | $7077888$ |
| Absolute Mass: | $3538944$ ($0$ currently in the LMFDB) |
The LMFDB does not contain any fields from this family.
