The table presents all isomorphism classes of degree 3 extensions of F2((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 + x + 1 | 1 | 3 | 0 | C3 ( 3T1 ) | 3 | 1 | [ ] 1 3 |
| x^3 + t | 3 | 1 | 2 | S3 ( 3T2 ) | 6 | 3 | [ ] 3 2 |