| $x^{32} + 16 b_{127} x^{31} + 8 a_{94} x^{30} + 16 b_{125} x^{29} + 8 b_{92} x^{28} + 16 b_{123} x^{27} + 16 b_{121} x^{25} + 8 b_{88} x^{24} + 16 b_{119} x^{23} + 16 b_{117} x^{21} + 8 b_{84} x^{20} + 16 b_{115} x^{19} + 16 b_{113} x^{17} + 4 b_{48} x^{16} + 16 a_{111} x^{15} + \left(8 b_{72} + 16 c_{104}\right) x^{8} + 16 b_{102} x^{6} + 16 b_{100} x^{4} + 16 b_{98} x^{2} + 8 c_{64} + 16 c_{96} + 32 c_{128} + 2$ |
| Residue field characteristic: | $2$ |
| Degree: | $32$ |
| Base field: | $\Q_{2}$ |
| Ramification index $e$: | $32$ |
| Residue field degree $f$: | $1$ |
| Discriminant exponent $c$: | $142$ |
| Artin slopes: | $[3,4,\frac{17}{4},\frac{17}{4},5]$ |
| Swan slopes: | $[2,3,\frac{13}{4},\frac{13}{4},4]$ |
| Means: | $\langle1,2,\frac{21}{8},\frac{47}{16},\frac{111}{32}\rangle$ |
| Rams: | $(2,4,5,5,17)$ |
| Field count: | $0$ (incomplete) |
| Ambiguity: | $16$ |
| Mass: | $65536$ |
| Absolute Mass: | $65536$ ($0$ currently in the LMFDB) |
The LMFDB does not contain any fields from this family.
