| $x^{16} + 16 b_{63} x^{15} + 8 b_{46} x^{14} + 16 b_{61} x^{13} + 4 a_{28} x^{12} + 16 b_{59} x^{11} + \left(8 a_{42} + 32 c_{74}\right) x^{10} + 32 b_{73} x^{9} + \left(4 b_{24} + 8 c_{40} + 16 c_{56}\right) x^{8} + 32 b_{71} x^{7} + 16 b_{54} x^{6} + 32 b_{69} x^{5} + 8 b_{36} x^{4} + 32 b_{67} x^{3} + 16 b_{50} x^{2} + 32 b_{65} x + 8 c_{32} + 2$ |
| Residue field characteristic: | $2$ |
| Degree: | $32$ |
| Base field: | $\Q_{2}$ |
| Ramification index $e$: | $16$ |
| Residue field degree $f$: | $2$ |
| Discriminant exponent $c$: | $146$ |
| Artin slopes: | $[3,\frac{7}{2},\frac{9}{2},\frac{45}{8}]$ |
| Swan slopes: | $[2,\frac{5}{2},\frac{7}{2},\frac{37}{8}]$ |
| Means: | $\langle1,\frac{7}{4},\frac{21}{8},\frac{29}{8}\rangle$ |
| Rams: | $(2,3,7,16)$ |
| Field count: | $0$ (incomplete) |
| Ambiguity: | $32$ |
| Mass: | $603979776$ |
| Absolute Mass: | $301989888$ ($0$ currently in the LMFDB) |
The LMFDB does not contain any fields from this family.
