| $x^{16} + 8 b_{47} x^{15} + 8 b_{45} x^{13} + 4 b_{28} x^{12} + 8 b_{43} x^{11} + 4 a_{26} x^{10} + 8 b_{41} x^{9} + 4 b_{24} x^{8} + 8 b_{39} x^{7} + 8 a_{37} x^{5} + 16 c_{48} + 2$ |
| Residue field characteristic: | $2$ |
| Degree: | $32$ |
| Base field: | $\Q_{2}$ |
| Ramification index $e$: | $16$ |
| Residue field degree $f$: | $2$ |
| Discriminant exponent $c$: | $104$ |
| Artin slopes: | $[\frac{20}{7},\frac{20}{7},\frac{20}{7},4]$ |
| Swan slopes: | $[\frac{13}{7},\frac{13}{7},\frac{13}{7},3]$ |
| Means: | $\langle\frac{13}{14},\frac{39}{28},\frac{13}{8},\frac{37}{16}\rangle$ |
| Rams: | $(\frac{13}{7},\frac{13}{7},\frac{13}{7},11)$ |
| Field count: | $0$ (incomplete) |
| Ambiguity: | $4$ |
| Mass: | $147456$ |
| Absolute Mass: | $73728$ ($0$ currently in the LMFDB) |
The LMFDB does not contain any fields from this family.
