| $x^{32} + 8 b_{95} x^{31} + 8 a_{93} x^{29} + 4 a_{60} x^{28} + \left(4 b_{56} + 8 c_{88}\right) x^{24} + 8 b_{86} x^{22} + 8 b_{82} x^{18} + \left(2 a_{16} + 8 c_{80} + 16 c_{112}\right) x^{16} + 16 b_{111} x^{15} + 8 b_{78} x^{14} + 16 b_{109} x^{13} + 8 b_{76} x^{12} + 16 b_{107} x^{11} + 8 a_{74} x^{10} + 16 b_{105} x^{9} + 4 a_{40} x^{8} + 16 b_{103} x^{7} + 16 b_{101} x^{5} + 8 b_{68} x^{4} + 16 b_{99} x^{3} + 16 b_{97} x + 4 c_{32} + 8 c_{64} + 2$ |
| Residue field characteristic: | $2$ |
| Degree: | $32$ |
| Base field: | $\Q_{2}$ |
| Ramification index $e$: | $32$ |
| Residue field degree $f$: | $1$ |
| Discriminant exponent $c$: | $124$ |
| Artin slopes: | $[2,3,\frac{7}{2},\frac{15}{4},\frac{9}{2}]$ |
| Swan slopes: | $[1,2,\frac{5}{2},\frac{11}{4},\frac{7}{2}]$ |
| Means: | $\langle\frac{1}{2},\frac{5}{4},\frac{15}{8},\frac{37}{16},\frac{93}{32}\rangle$ |
| Rams: | $(1,3,5,7,19)$ |
| Field count: | $0$ (incomplete) |
| Ambiguity: | $32$ |
| Mass: | $32768$ |
| Absolute Mass: | $32768$ ($0$ currently in the LMFDB) |
The LMFDB does not contain any fields from this family.
