The table presents all isomorphism classes of degree 2 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^2 + 4*x + 2 | 1 | 2 | 0 | C2 (2T1) | 2 | 1 | [ ] 1 2 |
x^2 + 2*t | 2 | 1 | 1 | C2 (2T1) | 2 | 2 | [ ] 2 1 |
x^2 + t | 2 | 1 | 1 | C2 (2T1) | 2 | 2 | [ ] 2 1 |