The table presents all isomorphism classes of degree 3 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^3 + 3*x + 3 | 1 | 3 | 0 | C3 (3T1) | 3 | 1 | [ ] 1 3 |
| x^3 + t | 3 | 1 | 2 | S3 (3T2) | 6 | 3 | [ ] 3 2 |