| $x^{32} + 4 b_{62} x^{30} + 4 a_{58} x^{26} + 4 b_{56} x^{24} + 4 a_{52} x^{20} + 4 b_{48} x^{16} + 8 c_{72} x^{8} + 8 b_{71} x^{7} + 8 b_{69} x^{5} + 8 b_{67} x^{3} + 8 a_{65} x + 8 c_{64} + 2$ |
| Residue field characteristic: | $2$ |
| Degree: | $32$ |
| Base field: | $\Q_{2}$ |
| Ramification index $e$: | $32$ |
| Residue field degree $f$: | $1$ |
| Discriminant exponent $c$: | $96$ |
| Artin slopes: | $[\frac{20}{7},\frac{20}{7},\frac{20}{7},3,\frac{13}{4}]$ |
| Swan slopes: | $[\frac{13}{7},\frac{13}{7},\frac{13}{7},2,\frac{9}{4}]$ |
| Means: | $\langle\frac{13}{14},\frac{39}{28},\frac{13}{8},\frac{29}{16},\frac{65}{32}\rangle$ |
| Rams: | $(\frac{13}{7},\frac{13}{7},\frac{13}{7},3,7)$ |
| Field count: | $0$ (incomplete) |
| Ambiguity: | $4$ |
| Mass: | $64$ |
| Absolute Mass: | $64$ ($0$ currently in the LMFDB) |
The LMFDB does not contain any fields from this family.
