The table presents all isomorphism classes of degree 11 extensions of F5((t)).
The data includes Defining polynomial, ramification index e, inertia degree f, valuation of discriminant c, Galois group G, Inertia Group I, Galois Slope Content.
Defining Polynomial | e | f | c | Galois Group | #G | #I | Galois Slope Content |
---|---|---|---|---|---|---|---|
x^11 + 3*x + 3 | 1 | 11 | 0 | C11 (11T1) | 11 | 1 | [ ] 1 11 |
x^11 + t | 11 | 1 | 10 | C11 : C5 (11T3) | 55 | 11 | [ ] 11 5 |