The table presents all isomorphism classes of degree 5 extensions of F5((t)) with discriminant exponent < 16.
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^5 + 4*x + 3 | 1 | 5 | 0 | C5 (5T1) | 5 | 1 | [ ] 1 5 |
| x^5 + t*x + t | 5 | 1 | 5 | F5 (5T3) | 20 | 20 | [ 5/4 ] 4 1 |
| x^5 + 2*t*x + t | 5 | 1 | 5 | F5 (5T3) | 20 | 20 | [ 5/4 ] 4 1 |
| x^5 + 3*t*x + t | 5 | 1 | 5 | F5 (5T3) | 20 | 20 | [ 5/4 ] 4 1 |
| x^5 + 4*t*x + t | 5 | 1 | 5 | F5 (5T3) | 20 | 20 | [ 5/4 ] 4 1 |
| x^5 + t*x^2 + t | 5 | 1 | 6 | F5 (5T3) | 20 | 10 | [ 3/2 ] 2 2 |
| x^5 + 2*t*x^2 + t | 5 | 1 | 6 | D5 (5T2) | 10 | 10 | [ 3/2 ] 2 1 |
| x^5 + 3*t*x^2 + t | 5 | 1 | 6 | D5 (5T2) | 10 | 10 | [ 3/2 ] 2 1 |
| x^5 + 4*t*x^2 + t | 5 | 1 | 6 | F5 (5T3) | 20 | 10 | [ 3/2 ] 2 2 |
| x^5 + t*x^3 + t | 5 | 1 | 7 | F5 (5T3) | 20 | 20 | [ 7/4 ] 4 1 |
| x^5 + 2*t*x^3 + t | 5 | 1 | 7 | F5 (5T3) | 20 | 20 | [ 7/4 ] 4 1 |
| x^5 + 3*t*x^3 + t | 5 | 1 | 7 | F5 (5T3) | 20 | 20 | [ 7/4 ] 4 1 |
| x^5 + 4*t*x^3 + t | 5 | 1 | 7 | F5 (5T3) | 20 | 20 | [ 7/4 ] 4 1 |
| x^5 + t*x^4 + t | 5 | 1 | 8 | D5 (5T2) | 10 | 5 | [ 2 ] 1 2 |
| x^5 + 2*t*x^4 + t | 5 | 1 | 8 | F5 (5T3) | 20 | 5 | [ 2 ] 1 4 |
| x^5 + 3*t*x^4 + t | 5 | 1 | 8 | F5 (5T3) | 20 | 5 | [ 2 ] 1 4 |
| x^5 + 4*t*x^4 + t | 5 | 1 | 8 | C5 (5T1) | 5 | 5 | [ 2 ] 1 1 |
| x^5 + 4*t*x^4 + t + t^2 | 5 | 1 | 8 | C5 (5T1) | 5 | 5 | [ 2 ] 1 1 |
| x^5 + 4*t*x^4 + t + 2*t^2 | 5 | 1 | 8 | C5 (5T1) | 5 | 5 | [ 2 ] 1 1 |
| x^5 + 4*t*x^4 + t + 3*t^2 | 5 | 1 | 8 | C5 (5T1) | 5 | 5 | [ 2 ] 1 1 |
| x^5 + 4*t*x^4 + t + 4*t^2 | 5 | 1 | 8 | C5 (5T1) | 5 | 5 | [ 2 ] 1 1 |
| x^5 + t^2*x + t | 5 | 1 | 10 | D5 (5T2) | 10 | 10 | [ 5/2 ] 2 1 |
| x^5 + t^2*x + t + t^2 | 5 | 1 | 10 | D5 (5T2) | 10 | 10 | [ 5/2 ] 2 1 |
| x^5 + t^2*x + t + 2*t^2 | 5 | 1 | 10 | D5 (5T2) | 10 | 10 | [ 5/2 ] 2 1 |
| x^5 + t^2*x + t + 3*t^2 | 5 | 1 | 10 | D5 (5T2) | 10 | 10 | [ 5/2 ] 2 1 |
| x^5 + t^2*x + t + 4*t^2 | 5 | 1 | 10 | D5 (5T2) | 10 | 10 | [ 5/2 ] 2 1 |
| x^5 + 2*t^2*x + t | 5 | 1 | 10 | F5 (5T3) | 20 | 10 | [ 5/2 ] 2 2 |
| x^5 + 2*t^2*x + t + t^2 | 5 | 1 | 10 | F5 (5T3) | 20 | 10 | [ 5/2 ] 2 2 |
| x^5 + 2*t^2*x + t + 2*t^2 | 5 | 1 | 10 | F5 (5T3) | 20 | 10 | [ 5/2 ] 2 2 |
| x^5 + 2*t^2*x + t + 3*t^2 | 5 | 1 | 10 | F5 (5T3) | 20 | 10 | [ 5/2 ] 2 2 |
| x^5 + 2*t^2*x + t + 4*t^2 | 5 | 1 | 10 | F5 (5T3) | 20 | 10 | [ 5/2 ] 2 2 |
| x^5 + 3*t^2*x + t | 5 | 1 | 10 | F5 (5T3) | 20 | 10 | [ 5/2 ] 2 2 |
| x^5 + 3*t^2*x + t + t^2 | 5 | 1 | 10 | F5 (5T3) | 20 | 10 | [ 5/2 ] 2 2 |
| x^5 + 3*t^2*x + t + 2*t^2 | 5 | 1 | 10 | F5 (5T3) | 20 | 10 | [ 5/2 ] 2 2 |
| x^5 + 3*t^2*x + t + 3*t^2 | 5 | 1 | 10 | F5 (5T3) | 20 | 10 | [ 5/2 ] 2 2 |
| x^5 + 3*t^2*x + t + 4*t^2 | 5 | 1 | 10 | F5 (5T3) | 20 | 10 | [ 5/2 ] 2 2 |
| x^5 + 4*t^2*x + t | 5 | 1 | 10 | D5 (5T2) | 10 | 10 | [ 5/2 ] 2 1 |
| x^5 + 4*t^2*x + t + t^2 | 5 | 1 | 10 | D5 (5T2) | 10 | 10 | [ 5/2 ] 2 1 |
| x^5 + 4*t^2*x + t + 2*t^2 | 5 | 1 | 10 | D5 (5T2) | 10 | 10 | [ 5/2 ] 2 1 |
| x^5 + 4*t^2*x + t + 3*t^2 | 5 | 1 | 10 | D5 (5T2) | 10 | 10 | [ 5/2 ] 2 1 |
| x^5 + 4*t^2*x + t + 4*t^2 | 5 | 1 | 10 | D5 (5T2) | 10 | 10 | [ 5/2 ] 2 1 |
| x^5 + t^2*x^2 + t | 5 | 1 | 11 | F5 (5T3) | 20 | 20 | [ 11/4 ] 4 1 |
| x^5 + t^2*x^2 + t + t^2 | 5 | 1 | 11 | F5 (5T3) | 20 | 20 | [ 11/4 ] 4 1 |
| x^5 + t^2*x^2 + t + 2*t^2 | 5 | 1 | 11 | F5 (5T3) | 20 | 20 | [ 11/4 ] 4 1 |
| x^5 + t^2*x^2 + t + 3*t^2 | 5 | 1 | 11 | F5 (5T3) | 20 | 20 | [ 11/4 ] 4 1 |
| x^5 + t^2*x^2 + t + 4*t^2 | 5 | 1 | 11 | F5 (5T3) | 20 | 20 | [ 11/4 ] 4 1 |
| x^5 + 2*t^2*x^2 + t | 5 | 1 | 11 | F5 (5T3) | 20 | 20 | [ 11/4 ] 4 1 |
| x^5 + 2*t^2*x^2 + t + t^2 | 5 | 1 | 11 | F5 (5T3) | 20 | 20 | [ 11/4 ] 4 1 |
| x^5 + 2*t^2*x^2 + t + 2*t^2 | 5 | 1 | 11 | F5 (5T3) | 20 | 20 | [ 11/4 ] 4 1 |
| x^5 + 2*t^2*x^2 + t + 3*t^2 | 5 | 1 | 11 | F5 (5T3) | 20 | 20 | [ 11/4 ] 4 1 |
| x^5 + 2*t^2*x^2 + t + 4*t^2 | 5 | 1 | 11 | F5 (5T3) | 20 | 20 | [ 11/4 ] 4 1 |
| x^5 + 3*t^2*x^2 + t | 5 | 1 | 11 | F5 (5T3) | 20 | 20 | [ 11/4 ] 4 1 |
| x^5 + 3*t^2*x^2 + t + t^2 | 5 | 1 | 11 | F5 (5T3) | 20 | 20 | [ 11/4 ] 4 1 |
| x^5 + 3*t^2*x^2 + t + 2*t^2 | 5 | 1 | 11 | F5 (5T3) | 20 | 20 | [ 11/4 ] 4 1 |
| x^5 + 3*t^2*x^2 + t + 3*t^2 | 5 | 1 | 11 | F5 (5T3) | 20 | 20 | [ 11/4 ] 4 1 |
| x^5 + 3*t^2*x^2 + t + 4*t^2 | 5 | 1 | 11 | F5 (5T3) | 20 | 20 | [ 11/4 ] 4 1 |
| x^5 + 4*t^2*x^2 + t | 5 | 1 | 11 | F5 (5T3) | 20 | 20 | [ 11/4 ] 4 1 |
| x^5 + 4*t^2*x^2 + t + t^2 | 5 | 1 | 11 | F5 (5T3) | 20 | 20 | [ 11/4 ] 4 1 |
| x^5 + 4*t^2*x^2 + t + 2*t^2 | 5 | 1 | 11 | F5 (5T3) | 20 | 20 | [ 11/4 ] 4 1 |
| x^5 + 4*t^2*x^2 + t + 3*t^2 | 5 | 1 | 11 | F5 (5T3) | 20 | 20 | [ 11/4 ] 4 1 |
| x^5 + 4*t^2*x^2 + t + 4*t^2 | 5 | 1 | 11 | F5 (5T3) | 20 | 20 | [ 11/4 ] 4 1 |
| x^5 + t^2*x^3 + t | 5 | 1 | 12 | F5 (5T3) | 20 | 5 | [ 3 ] 1 4 |
| x^5 + t^2*x^3 + t + t^2 | 5 | 1 | 12 | F5 (5T3) | 20 | 5 | [ 3 ] 1 4 |
| x^5 + t^2*x^3 + t + 2*t^2 | 5 | 1 | 12 | F5 (5T3) | 20 | 5 | [ 3 ] 1 4 |
| x^5 + t^2*x^3 + t + 3*t^2 | 5 | 1 | 12 | F5 (5T3) | 20 | 5 | [ 3 ] 1 4 |
| x^5 + t^2*x^3 + t + 4*t^2 | 5 | 1 | 12 | F5 (5T3) | 20 | 5 | [ 3 ] 1 4 |
| x^5 + 2*t^2*x^3 + t | 5 | 1 | 12 | D5 (5T2) | 10 | 5 | [ 3 ] 1 2 |
| x^5 + 2*t^2*x^3 + t + t^2 | 5 | 1 | 12 | D5 (5T2) | 10 | 5 | [ 3 ] 1 2 |
| x^5 + 2*t^2*x^3 + t + 2*t^2 | 5 | 1 | 12 | D5 (5T2) | 10 | 5 | [ 3 ] 1 2 |
| x^5 + 2*t^2*x^3 + t + 3*t^2 | 5 | 1 | 12 | D5 (5T2) | 10 | 5 | [ 3 ] 1 2 |
| x^5 + 2*t^2*x^3 + t + 4*t^2 | 5 | 1 | 12 | D5 (5T2) | 10 | 5 | [ 3 ] 1 2 |
| x^5 + 3*t^2*x^3 + t | 5 | 1 | 12 | C5 (5T1) | 5 | 5 | [ 3 ] 1 1 |
| x^5 + 3*t^2*x^3 + t + t^3 | 5 | 1 | 12 | C5 (5T1) | 5 | 5 | [ 3 ] 1 1 |
| x^5 + 3*t^2*x^3 + t + 2*t^3 | 5 | 1 | 12 | C5 (5T1) | 5 | 5 | [ 3 ] 1 1 |
| x^5 + 3*t^2*x^3 + t + 3*t^3 | 5 | 1 | 12 | C5 (5T1) | 5 | 5 | [ 3 ] 1 1 |
| x^5 + 3*t^2*x^3 + t + 4*t^3 | 5 | 1 | 12 | C5 (5T1) | 5 | 5 | [ 3 ] 1 1 |
| x^5 + 3*t^2*x^3 + t + t^2 | 5 | 1 | 12 | C5 (5T1) | 5 | 5 | [ 3 ] 1 1 |
| x^5 + 3*t^2*x^3 + t + t^2 + t^3 | 5 | 1 | 12 | C5 (5T1) | 5 | 5 | [ 3 ] 1 1 |
| x^5 + 3*t^2*x^3 + t + t^2 + 2*t^3 | 5 | 1 | 12 | C5 (5T1) | 5 | 5 | [ 3 ] 1 1 |
| x^5 + 3*t^2*x^3 + t + t^2 + 3*t^3 | 5 | 1 | 12 | C5 (5T1) | 5 | 5 | [ 3 ] 1 1 |
| x^5 + 3*t^2*x^3 + t + t^2 + 4*t^3 | 5 | 1 | 12 | C5 (5T1) | 5 | 5 | [ 3 ] 1 1 |
| x^5 + 3*t^2*x^3 + t + 2*t^2 | 5 | 1 | 12 | C5 (5T1) | 5 | 5 | [ 3 ] 1 1 |
| x^5 + 3*t^2*x^3 + t + 2*t^2 + t^3 | 5 | 1 | 12 | C5 (5T1) | 5 | 5 | [ 3 ] 1 1 |
| x^5 + 3*t^2*x^3 + t + 2*t^2 + 2*t^3 | 5 | 1 | 12 | C5 (5T1) | 5 | 5 | [ 3 ] 1 1 |
| x^5 + 3*t^2*x^3 + t + 2*t^2 + 3*t^3 | 5 | 1 | 12 | C5 (5T1) | 5 | 5 | [ 3 ] 1 1 |
| x^5 + 3*t^2*x^3 + t + 2*t^2 + 4*t^3 | 5 | 1 | 12 | C5 (5T1) | 5 | 5 | [ 3 ] 1 1 |
| x^5 + 3*t^2*x^3 + t + 3*t^2 | 5 | 1 | 12 | C5 (5T1) | 5 | 5 | [ 3 ] 1 1 |
| x^5 + 3*t^2*x^3 + t + 3*t^2 + t^3 | 5 | 1 | 12 | C5 (5T1) | 5 | 5 | [ 3 ] 1 1 |
| x^5 + 3*t^2*x^3 + t + 3*t^2 + 2*t^3 | 5 | 1 | 12 | C5 (5T1) | 5 | 5 | [ 3 ] 1 1 |
| x^5 + 3*t^2*x^3 + t + 3*t^2 + 3*t^3 | 5 | 1 | 12 | C5 (5T1) | 5 | 5 | [ 3 ] 1 1 |
| x^5 + 3*t^2*x^3 + t + 3*t^2 + 4*t^3 | 5 | 1 | 12 | C5 (5T1) | 5 | 5 | [ 3 ] 1 1 |
| x^5 + 3*t^2*x^3 + t + 4*t^2 | 5 | 1 | 12 | C5 (5T1) | 5 | 5 | [ 3 ] 1 1 |
| x^5 + 3*t^2*x^3 + t + 4*t^2 + t^3 | 5 | 1 | 12 | C5 (5T1) | 5 | 5 | [ 3 ] 1 1 |
| x^5 + 3*t^2*x^3 + t + 4*t^2 + 2*t^3 | 5 | 1 | 12 | C5 (5T1) | 5 | 5 | [ 3 ] 1 1 |
| x^5 + 3*t^2*x^3 + t + 4*t^2 + 3*t^3 | 5 | 1 | 12 | C5 (5T1) | 5 | 5 | [ 3 ] 1 1 |
| x^5 + 3*t^2*x^3 + t + 4*t^2 + 4*t^3 | 5 | 1 | 12 | C5 (5T1) | 5 | 5 | [ 3 ] 1 1 |
| x^5 + 4*t^2*x^3 + t | 5 | 1 | 12 | F5 (5T3) | 20 | 5 | [ 3 ] 1 4 |
| x^5 + 4*t^2*x^3 + t + t^2 | 5 | 1 | 12 | F5 (5T3) | 20 | 5 | [ 3 ] 1 4 |
| x^5 + 4*t^2*x^3 + t + 2*t^2 | 5 | 1 | 12 | F5 (5T3) | 20 | 5 | [ 3 ] 1 4 |
| x^5 + 4*t^2*x^3 + t + 3*t^2 | 5 | 1 | 12 | F5 (5T3) | 20 | 5 | [ 3 ] 1 4 |
| x^5 + 4*t^2*x^3 + t + 4*t^2 | 5 | 1 | 12 | F5 (5T3) | 20 | 5 | [ 3 ] 1 4 |
| x^5 + t^2*x^4 + t | 5 | 1 | 13 | F5 (5T3) | 20 | 20 | [ 13/4 ] 4 1 |
| x^5 + t^2*x^4 + t + t^3 | 5 | 1 | 13 | F5 (5T3) | 20 | 20 | [ 13/4 ] 4 1 |
| x^5 + t^2*x^4 + t + 2*t^3 | 5 | 1 | 13 | F5 (5T3) | 20 | 20 | [ 13/4 ] 4 1 |
| x^5 + t^2*x^4 + t + 3*t^3 | 5 | 1 | 13 | F5 (5T3) | 20 | 20 | [ 13/4 ] 4 1 |
| x^5 + t^2*x^4 + t + 4*t^3 | 5 | 1 | 13 | F5 (5T3) | 20 | 20 | [ 13/4 ] 4 1 |
| x^5 + 2*t^2*x^4 + t | 5 | 1 | 13 | F5 (5T3) | 20 | 20 | [ 13/4 ] 4 1 |
| x^5 + 2*t^2*x^4 + t + t^3 | 5 | 1 | 13 | F5 (5T3) | 20 | 20 | [ 13/4 ] 4 1 |
| x^5 + 2*t^2*x^4 + t + 2*t^3 | 5 | 1 | 13 | F5 (5T3) | 20 | 20 | [ 13/4 ] 4 1 |
| x^5 + 2*t^2*x^4 + t + 3*t^3 | 5 | 1 | 13 | F5 (5T3) | 20 | 20 | [ 13/4 ] 4 1 |
| x^5 + 2*t^2*x^4 + t + 4*t^3 | 5 | 1 | 13 | F5 (5T3) | 20 | 20 | [ 13/4 ] 4 1 |
| x^5 + 3*t^2*x^4 + t | 5 | 1 | 13 | F5 (5T3) | 20 | 20 | [ 13/4 ] 4 1 |
| x^5 + 3*t^2*x^4 + t + t^3 | 5 | 1 | 13 | F5 (5T3) | 20 | 20 | [ 13/4 ] 4 1 |
| x^5 + 3*t^2*x^4 + t + 2*t^3 | 5 | 1 | 13 | F5 (5T3) | 20 | 20 | [ 13/4 ] 4 1 |
| x^5 + 3*t^2*x^4 + t + 3*t^3 | 5 | 1 | 13 | F5 (5T3) | 20 | 20 | [ 13/4 ] 4 1 |
| x^5 + 3*t^2*x^4 + t + 4*t^3 | 5 | 1 | 13 | F5 (5T3) | 20 | 20 | [ 13/4 ] 4 1 |
| x^5 + 4*t^2*x^4 + t | 5 | 1 | 13 | F5 (5T3) | 20 | 20 | [ 13/4 ] 4 1 |
| x^5 + 4*t^2*x^4 + t + t^3 | 5 | 1 | 13 | F5 (5T3) | 20 | 20 | [ 13/4 ] 4 1 |
| x^5 + 4*t^2*x^4 + t + 2*t^3 | 5 | 1 | 13 | F5 (5T3) | 20 | 20 | [ 13/4 ] 4 1 |
| x^5 + 4*t^2*x^4 + t + 3*t^3 | 5 | 1 | 13 | F5 (5T3) | 20 | 20 | [ 13/4 ] 4 1 |
| x^5 + 4*t^2*x^4 + t + 4*t^3 | 5 | 1 | 13 | F5 (5T3) | 20 | 20 | [ 13/4 ] 4 1 |
| x^5 + t^3*x + t | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + t^3*x + t + t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + t^3*x + t + 2*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + t^3*x + t + 3*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + t^3*x + t + 4*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + t^3*x + t + t^2 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + t^3*x + t + t^2 + t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + t^3*x + t + t^2 + 2*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + t^3*x + t + t^2 + 3*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + t^3*x + t + t^2 + 4*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + t^3*x + t + 2*t^2 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + t^3*x + t + 2*t^2 + t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + t^3*x + t + 2*t^2 + 2*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + t^3*x + t + 2*t^2 + 3*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + t^3*x + t + 2*t^2 + 4*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + t^3*x + t + 3*t^2 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + t^3*x + t + 3*t^2 + t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + t^3*x + t + 3*t^2 + 2*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + t^3*x + t + 3*t^2 + 3*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + t^3*x + t + 3*t^2 + 4*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + t^3*x + t + 4*t^2 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + t^3*x + t + 4*t^2 + t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + t^3*x + t + 4*t^2 + 2*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + t^3*x + t + 4*t^2 + 3*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + t^3*x + t + 4*t^2 + 4*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 2*t^3*x + t | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 2*t^3*x + t + t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 2*t^3*x + t + 2*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 2*t^3*x + t + 3*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 2*t^3*x + t + 4*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 2*t^3*x + t + t^2 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 2*t^3*x + t + t^2 + t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 2*t^3*x + t + t^2 + 2*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 2*t^3*x + t + t^2 + 3*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 2*t^3*x + t + t^2 + 4*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 2*t^3*x + t + 2*t^2 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 2*t^3*x + t + 2*t^2 + t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 2*t^3*x + t + 2*t^2 + 2*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 2*t^3*x + t + 2*t^2 + 3*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 2*t^3*x + t + 2*t^2 + 4*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 2*t^3*x + t + 3*t^2 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 2*t^3*x + t + 3*t^2 + t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 2*t^3*x + t + 3*t^2 + 2*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 2*t^3*x + t + 3*t^2 + 3*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 2*t^3*x + t + 3*t^2 + 4*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 2*t^3*x + t + 4*t^2 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 2*t^3*x + t + 4*t^2 + t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 2*t^3*x + t + 4*t^2 + 2*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 2*t^3*x + t + 4*t^2 + 3*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 2*t^3*x + t + 4*t^2 + 4*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 3*t^3*x + t | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 3*t^3*x + t + t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 3*t^3*x + t + 2*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 3*t^3*x + t + 3*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 3*t^3*x + t + 4*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 3*t^3*x + t + t^2 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 3*t^3*x + t + t^2 + t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 3*t^3*x + t + t^2 + 2*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 3*t^3*x + t + t^2 + 3*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 3*t^3*x + t + t^2 + 4*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 3*t^3*x + t + 2*t^2 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 3*t^3*x + t + 2*t^2 + t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 3*t^3*x + t + 2*t^2 + 2*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 3*t^3*x + t + 2*t^2 + 3*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 3*t^3*x + t + 2*t^2 + 4*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 3*t^3*x + t + 3*t^2 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 3*t^3*x + t + 3*t^2 + t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 3*t^3*x + t + 3*t^2 + 2*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 3*t^3*x + t + 3*t^2 + 3*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 3*t^3*x + t + 3*t^2 + 4*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 3*t^3*x + t + 4*t^2 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 3*t^3*x + t + 4*t^2 + t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 3*t^3*x + t + 4*t^2 + 2*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 3*t^3*x + t + 4*t^2 + 3*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 3*t^3*x + t + 4*t^2 + 4*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 4*t^3*x + t | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 4*t^3*x + t + t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 4*t^3*x + t + 2*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 4*t^3*x + t + 3*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 4*t^3*x + t + 4*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 4*t^3*x + t + t^2 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 4*t^3*x + t + t^2 + t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 4*t^3*x + t + t^2 + 2*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 4*t^3*x + t + t^2 + 3*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 4*t^3*x + t + t^2 + 4*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 4*t^3*x + t + 2*t^2 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 4*t^3*x + t + 2*t^2 + t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 4*t^3*x + t + 2*t^2 + 2*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 4*t^3*x + t + 2*t^2 + 3*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 4*t^3*x + t + 2*t^2 + 4*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 4*t^3*x + t + 3*t^2 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 4*t^3*x + t + 3*t^2 + t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 4*t^3*x + t + 3*t^2 + 2*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 4*t^3*x + t + 3*t^2 + 3*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 4*t^3*x + t + 3*t^2 + 4*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 4*t^3*x + t + 4*t^2 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 4*t^3*x + t + 4*t^2 + t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 4*t^3*x + t + 4*t^2 + 2*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 4*t^3*x + t + 4*t^2 + 3*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |
| x^5 + 4*t^3*x + t + 4*t^2 + 4*t^3 | 5 | 1 | 15 | F5 (5T3) | 20 | 20 | [ 15/4 ] 4 1 |