$x^{16} + 4 b_{30} x^{14} + \left(4 b_{28} + 8 c_{44}\right) x^{12} + 8 b_{43} x^{11} + 4 a_{26} x^{10} + 8 b_{41} x^{9} + 2 a_{8} x^{8} + 8 b_{39} x^{7} + 8 b_{37} x^{5} + 4 b_{20} x^{4} + 8 a_{35} x^{3} + 4 c_{16} + 8 c_{32} + 2$ |
Residue field characteristic: | $2$ |
Degree: | $32$ |
Base field: | $\Q_{2}$ |
Ramification index $e$: | $16$ |
Residue field degree $f$: | $2$ |
Discriminant exponent $c$: | $100$ |
Artin slopes: | $[2,3,3,\frac{15}{4}]$ |
Swan slopes: | $[1,2,2,\frac{11}{4}]$ |
Means: | $\langle\frac{1}{2},\frac{5}{4},\frac{13}{8},\frac{35}{16}\rangle$ |
Rams: | $(1,3,3,9)$ |
Field count: | $0$ (incomplete) |
Ambiguity: | $32$ |
Mass: | $442368$ |
Absolute Mass: | $221184$ ($0$ currently in the LMFDB) |
The LMFDB does not contain any fields from this family.