| $x^{16} + 8 a_{47} x^{15} + 8 b_{46} x^{14} + \left(4 b_{28} + 16 c_{60}\right) x^{12} + 16 b_{59} x^{11} + 8 b_{42} x^{10} + 16 b_{57} x^{9} + 2 a_{8} x^{8} + 16 b_{55} x^{7} + 8 b_{38} x^{6} + 16 b_{53} x^{5} + 4 a_{20} x^{4} + 16 b_{51} x^{3} + 8 a_{34} x^{2} + 16 b_{49} x + 4 c_{16} + 8 c_{32} + 16 c_{48} + 2$ |
| Residue field characteristic: | $2$ |
| Degree: | $32$ |
| Base field: | $\Q_{2}$ |
| Ramification index $e$: | $16$ |
| Residue field degree $f$: | $2$ |
| Discriminant exponent $c$: | $124$ |
| Artin slopes: | $[2,3,4,\frac{19}{4}]$ |
| Swan slopes: | $[1,2,3,\frac{15}{4}]$ |
| Means: | $\langle\frac{1}{2},\frac{5}{4},\frac{17}{8},\frac{47}{16}\rangle$ |
| Rams: | $(1,3,7,13)$ |
| Field count: | $0$ (incomplete) |
| Ambiguity: | $32$ |
| Mass: | $84934656$ |
| Absolute Mass: | $42467328$ ($0$ currently in the LMFDB) |
The LMFDB does not contain any fields from this family.
