| $x^{32} + 4 b_{63} x^{31} + 4 b_{61} x^{29} + 4 b_{59} x^{27} + 4 b_{57} x^{25} + 4 b_{55} x^{23} + 2 a_{22} x^{22} + 4 b_{53} x^{21} + 4 b_{51} x^{19} + 4 b_{49} x^{17} + 2 b_{16} x^{16} + 4 a_{47} x^{15} + 8 c_{72} x^{8} + 8 b_{71} x^{7} + 8 b_{69} x^{5} + 8 b_{67} x^{3} + 8 b_{65} x + 2$ |
| Residue field characteristic: | $2$ |
| Degree: | $32$ |
| Base field: | $\Q_{2}$ |
| Ramification index $e$: | $32$ |
| Residue field degree $f$: | $1$ |
| Discriminant exponent $c$: | $78$ |
| Artin slopes: | $[\frac{26}{15},\frac{26}{15},\frac{26}{15},\frac{26}{15},\frac{13}{4}]$ |
| Swan slopes: | $[\frac{11}{15},\frac{11}{15},\frac{11}{15},\frac{11}{15},\frac{9}{4}]$ |
| Means: | $\langle\frac{11}{30},\frac{11}{20},\frac{77}{120},\frac{11}{16},\frac{47}{32}\rangle$ |
| Rams: | $(\frac{11}{15},\frac{11}{15},\frac{11}{15},\frac{11}{15},25)$ |
| Field count: | $0$ (incomplete) |
| Ambiguity: | $2$ |
| Mass: | $8192$ |
| Absolute Mass: | $8192$ ($0$ currently in the LMFDB) |
The LMFDB does not contain any fields from this family.
