| $x^{32} + 8 b_{92} x^{28} + 8 b_{88} x^{24} + 8 a_{84} x^{20} + 4 b_{48} x^{16} + 16 b_{109} x^{13} + 16 b_{107} x^{11} + 16 b_{106} x^{10} + 16 b_{105} x^{9} + \left(8 b_{72} + 16 c_{104}\right) x^{8} + 16 a_{103} x^{7} + 16 b_{102} x^{6} + 16 b_{100} x^{4} + 16 b_{98} x^{2} + 8 c_{64} + 16 c_{96} + 2$ |
| Residue field characteristic: | $2$ |
| Degree: | $32$ |
| Base field: | $\Q_{2}$ |
| Ramification index $e$: | $32$ |
| Residue field degree $f$: | $1$ |
| Discriminant exponent $c$: | $134$ |
| Artin slopes: | $[3,4,\frac{17}{4},\frac{53}{12},\frac{53}{12}]$ |
| Swan slopes: | $[2,3,\frac{13}{4},\frac{41}{12},\frac{41}{12}]$ |
| Means: | $\langle1,2,\frac{21}{8},\frac{145}{48},\frac{103}{32}\rangle$ |
| Rams: | $(2,4,5,\frac{19}{3},\frac{19}{3})$ |
| 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.
