| $x^{32} + 8 b_{95} x^{31} + 8 b_{93} x^{29} + 8 b_{91} x^{27} + 8 b_{89} x^{25} + 4 b_{56} x^{24} + 8 b_{87} x^{23} + 8 a_{85} x^{21} + 8 b_{84} x^{20} + 8 b_{82} x^{18} + 2 a_{16} x^{16} + 8 b_{78} x^{14} + 8 b_{76} x^{12} + 8 a_{74} x^{10} + 4 a_{40} x^{8} + 8 b_{68} x^{4} + 4 c_{32} + 8 c_{64} + 16 c_{96} + 2$ |
| Residue field characteristic: | $2$ |
| Degree: | $32$ |
| Base field: | $\Q_{2}$ |
| Ramification index $e$: | $32$ |
| Residue field degree $f$: | $1$ |
| Discriminant exponent $c$: | $116$ |
| Artin slopes: | $[2,3,\frac{11}{3},\frac{11}{3},4]$ |
| Swan slopes: | $[1,2,\frac{8}{3},\frac{8}{3},3]$ |
| Means: | $\langle\frac{1}{2},\frac{5}{4},\frac{47}{24},\frac{37}{16},\frac{85}{32}\rangle$ |
| Rams: | $(1,3,\frac{17}{3},\frac{17}{3},11)$ |
| Field count: | $0$ (incomplete) |
| Ambiguity: | $8$ |
| Mass: | $2048$ |
| Absolute Mass: | $2048$ ($0$ currently in the LMFDB) |
The LMFDB does not contain any fields from this family.
