The table presents all isomorphism classes of degree 4 extensions of F2((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^4 + x + 1 | 1 | 4 | 0 | C4 (4T1) | 4 | 1 | [ ] 1 4 |
x^4 + t*x^3 + t^2*x^2 + t^2*x + t^2 | 2 | 2 | 4 | D4 (4T3) | 8 | 4 | [ 2, 2 ] 1 2 |
x^4 + t*x^3 + t^2*x + t^2 + t^3 + t^4 | 2 | 2 | 4 | D4 (4T3) | 8 | 4 | [ 2, 2 ] 1 2 |
x^4 + (1 + t + t^2)*x^2 + (t + t^2)*x + 1 + t^2 | 2 | 2 | 4 | C22 (4T2) | 4 | 2 | [ 2 ] 1 2 |
x^4 + t^3*x + t^2 + t^3 + t^4 | 2 | 2 | 4 | C4 (4T1) | 4 | 2 | [ 2 ] 1 2 |
x^4 + t*x + t | 4 | 1 | 4 | S4 (4T5) | 24 | 12 | [ 4/3, 4/3 ] 3 2 |
x^4 + t*x^3 + t | 4 | 1 | 6 | D4 (4T3) | 8 | 4 | [ 2, 2 ] 1 2 |
x^4 + t*x^3 + t + t^2 | 4 | 1 | 6 | D4 (4T3) | 8 | 4 | [ 2, 2 ] 1 2 |
x^4 + t*x^3 + t*x^2 + t | 4 | 1 | 6 | A4 (4T4) | 12 | 4 | [ 2, 2 ] 1 3 |
x^4 + t^2*x^3 + t^4*x^2 + t^3*x + t^2 | 2 | 2 | 8 | D4 (4T3) | 8 | 4 | [ 4, 4 ] 1 2 |
x^4 + t^2*x^3 + t^3*x + t^2 + t^5 + t^8 | 2 | 2 | 8 | D4 (4T3) | 8 | 4 | [ 4, 4 ] 1 2 |
x^4 + t^2*x^3 + (t^3 + t^4)*x^2 + t^3*x + t^2 + t^4 + t^6 | 2 | 2 | 8 | D4 (4T3) | 8 | 4 | [ 4, 4 ] 1 2 |
x^4 + t^2*x^3 + t^3*x^2 + t^3*x + t^2 + t^4 + t^5 + t^6 + t^8 | 2 | 2 | 8 | D4 (4T3) | 8 | 4 | [ 4, 4 ] 1 2 |
x^4 + t^2*x^3 + t^4*x^2 + (t^3 + t^5)*x + t^2 + t^6 | 2 | 2 | 8 | D4 (4T3) | 8 | 4 | [ 4, 4 ] 1 2 |
x^4 + t^2*x^3 + (t^3 + t^5)*x + t^2 + t^5 + t^6 + t^7 + t^8 | 2 | 2 | 8 | D4 (4T3) | 8 | 4 | [ 4, 4 ] 1 2 |
x^4 + t^2*x^3 + (t^3 + t^4)*x^2 + (t^3 + t^5)*x + t^2 + t^4 + t^6 | 2 | 2 | 8 | D4 (4T3) | 8 | 4 | [ 4, 4 ] 1 2 |
x^4 + t^2*x^3 + t^3*x^2 + (t^3 + t^5)*x + t^2 + t^4 + t^5 + t^6 + t^7 + t^8 | 2 | 2 | 8 | D4 (4T3) | 8 | 4 | [ 4, 4 ] 1 2 |
x^4 + (1 + t^2 + t^4)*x^2 + (t^2 + t^4)*x + 1 + t + t^3 + t^4 | 2 | 2 | 8 | C22 (4T2) | 4 | 2 | [ 4 ] 1 2 |
x^4 + t^6*x + t^2 + t^5 + t^8 | 2 | 2 | 8 | C4 (4T1) | 4 | 2 | [ 4 ] 1 2 |
x^4 + (t^3 + t^4)*x^2 + t^5*x + t^2 + t^4 + t^6 | 2 | 2 | 8 | D4 (4T3) | 8 | 4 | [ 2, 4 ] 1 2 |
x^4 + t^3*x^2 + (t^5 + t^6)*x + t^2 + t^4 + t^5 + t^6 + t^8 | 2 | 2 | 8 | D4 (4T3) | 8 | 4 | [ 2, 4 ] 1 2 |
x^4 + (1 + t^2 + t^4)*x^2 + (t^2 + t^4)*x + 1 + t + t^4 + t^5 + t^6 | 2 | 2 | 8 | C22 (4T2) | 4 | 2 | [ 4 ] 1 2 |
x^4 + t^6*x + t^2 + t^5 + t^6 + t^7 + t^8 | 2 | 2 | 8 | C4 (4T1) | 4 | 2 | [ 4 ] 1 2 |
x^4 + t^2*x + t | 4 | 1 | 8 | S4 (4T5) | 24 | 12 | [ 8/3, 8/3 ] 3 2 |
x^4 + t^2*x^2 + t^2*x + t | 4 | 1 | 8 | S4 (4T5) | 24 | 12 | [ 8/3, 8/3 ] 3 2 |
x^4 + t*x^2 + t^2*x + t | 4 | 1 | 8 | D4 (4T3) | 8 | 4 | [ 2, 3 ] 1 2 |
x^4 + (t + t^2)*x^2 + t^2*x + t | 4 | 1 | 8 | C4 (4T1) | 4 | 4 | [ 2, 3 ] 1 1 |
x^4 + (t + t^2)*x^2 + t^2*x + t + t^3 | 4 | 1 | 8 | C4 (4T1) | 4 | 4 | [ 2, 3 ] 1 1 |
x^4 + t*x^2 + t^2*x + t + t^2 | 4 | 1 | 8 | C4 (4T1) | 4 | 4 | [ 2, 3 ] 1 1 |
x^4 + t*x^2 + t^2*x + t + t^2 + t^3 | 4 | 1 | 8 | C4 (4T1) | 4 | 4 | [ 2, 3 ] 1 1 |
x^4 + (t + t^2)*x^2 + t^2*x + t + t^2 | 4 | 1 | 8 | D4 (4T3) | 8 | 4 | [ 2, 3 ] 1 2 |
x^4 + t^2*x^3 + t | 4 | 1 | 10 | S4 (4T5) | 24 | 12 | [ 10/3, 10/3 ] 3 2 |
x^4 + t^2*x^3 + t + t^3 | 4 | 1 | 10 | S4 (4T5) | 24 | 12 | [ 10/3, 10/3 ] 3 2 |
x^4 + t^2*x^3 + t^2*x^2 + t | 4 | 1 | 10 | S4 (4T5) | 24 | 12 | [ 10/3, 10/3 ] 3 2 |
x^4 + t^2*x^3 + t^2*x^2 + t + t^3 | 4 | 1 | 10 | S4 (4T5) | 24 | 12 | [ 10/3, 10/3 ] 3 2 |
x^4 + t^2*x^3 + t*x^2 + t | 4 | 1 | 10 | D4 (4T3) | 8 | 4 | [ 2, 4 ] 1 2 |
x^4 + t^2*x^3 + (t + t^3)*x^2 + t | 4 | 1 | 10 | C4 (4T1) | 4 | 4 | [ 2, 4 ] 1 1 |
x^4 + t^2*x^3 + (t + t^3)*x^2 + t + t^4 | 4 | 1 | 10 | C4 (4T1) | 4 | 4 | [ 2, 4 ] 1 1 |
x^4 + t^2*x^3 + (t + t^2)*x^2 + t | 4 | 1 | 10 | C22 (4T2) | 4 | 4 | [ 2, 4 ] 1 1 |
x^4 + t^2*x^3 + (t + t^2)*x^2 + t + t^4 | 4 | 1 | 10 | C22 (4T2) | 4 | 4 | [ 2, 4 ] 1 1 |
x^4 + t^2*x^3 + (t + t^2 + t^3)*x^2 + t | 4 | 1 | 10 | D4 (4T3) | 8 | 4 | [ 2, 4 ] 1 2 |
x^4 + t^2*x^3 + t*x^2 + t + t^2 | 4 | 1 | 10 | C22 (4T2) | 4 | 4 | [ 2, 4 ] 1 1 |
x^4 + t^2*x^3 + t*x^2 + t + t^2 + t^4 | 4 | 1 | 10 | C22 (4T2) | 4 | 4 | [ 2, 4 ] 1 1 |
x^4 + t^2*x^3 + (t + t^3)*x^2 + t + t^2 | 4 | 1 | 10 | D4 (4T3) | 8 | 4 | [ 2, 4 ] 1 2 |
x^4 + t^2*x^3 + (t + t^2)*x^2 + t + t^2 | 4 | 1 | 10 | D4 (4T3) | 8 | 4 | [ 2, 4 ] 1 2 |
x^4 + t^2*x^3 + (t + t^2 + t^3)*x^2 + t + t^2 | 4 | 1 | 10 | C4 (4T1) | 4 | 4 | [ 2, 4 ] 1 1 |
x^4 + t^2*x^3 + (t + t^2 + t^3)*x^2 + t + t^2 + t^4 | 4 | 1 | 10 | C4 (4T1) | 4 | 4 | [ 2, 4 ] 1 1 |
x^4 + t^3*x^3 + t^6*x^2 + t^4*x + t^2 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + t^3*x^3 + t^4*x + t^2 + t^7 + t^12 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + t^3*x^3 + (t^5 + t^6)*x^2 + t^4*x + t^2 + t^6 + t^10 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + t^3*x^3 + t^5*x^2 + t^4*x + t^2 + t^6 + t^7 + t^10 + t^12 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + t^3*x^3 + t^6*x^2 + (t^4 + t^8)*x + t^2 + t^10 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + t^3*x^3 + (t^4 + t^8)*x + t^2 + t^7 + t^10 + t^11 + t^12 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + t^3*x^3 + (t^5 + t^6)*x^2 + (t^4 + t^8)*x + t^2 + t^6 + t^10 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + t^3*x^3 + t^5*x^2 + (t^4 + t^8)*x + t^2 + t^6 + t^7 + t^10 + t^11 + t^12 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + t^3*x^3 + (t^3 + t^6)*x^2 + t^4*x + t^2 + t^4 + t^6 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + t^3*x^3 + t^3*x^2 + t^4*x + t^2 + t^4 + t^6 + t^7 + t^12 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + t^3*x^3 + (t^3 + t^5 + t^6)*x^2 + t^4*x + t^2 + t^4 + t^10 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + t^3*x^3 + (t^3 + t^5)*x^2 + t^4*x + t^2 + t^4 + t^7 + t^10 + t^12 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + t^3*x^3 + (t^3 + t^6)*x^2 + (t^4 + t^8)*x + t^2 + t^4 + t^6 + t^8 + t^10 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + t^3*x^3 + t^3*x^2 + (t^4 + t^8)*x + t^2 + t^4 + t^6 + t^7 + t^8 + t^10 + t^11 + t^12 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + t^3*x^3 + (t^3 + t^5 + t^6)*x^2 + (t^4 + t^8)*x + t^2 + t^4 + t^8 + t^10 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + t^3*x^3 + (t^3 + t^5)*x^2 + (t^4 + t^8)*x + t^2 + t^4 + t^7 + t^8 + t^10 + t^11 + t^12 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + t^3*x^3 + t^6*x^2 + (t^4 + t^6)*x + t^2 + t^6 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + t^3*x^3 + (t^4 + t^6)*x + t^2 + t^6 + t^7 + t^9 + t^12 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + t^3*x^3 + (t^5 + t^6)*x^2 + (t^4 + t^6)*x + t^2 + t^8 + t^10 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + t^3*x^3 + t^5*x^2 + (t^4 + t^6)*x + t^2 + t^7 + t^8 + t^9 + t^10 + t^12 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + t^3*x^3 + t^6*x^2 + (t^4 + t^6 + t^8)*x + t^2 + t^6 + t^10 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + t^3*x^3 + (t^4 + t^6 + t^8)*x + t^2 + t^6 + t^7 + t^9 + t^10 + t^11 + t^12 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + t^3*x^3 + (t^5 + t^6)*x^2 + (t^4 + t^6 + t^8)*x + t^2 + t^8 + t^10 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + t^3*x^3 + t^5*x^2 + (t^4 + t^6 + t^8)*x + t^2 + t^7 + t^8 + t^9 + t^10 + t^11 + t^12 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + t^3*x^3 + (t^3 + t^6)*x^2 + (t^4 + t^6)*x + t^2 + t^4 + t^6 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + t^3*x^3 + t^3*x^2 + (t^4 + t^6)*x + t^2 + t^4 + t^6 + t^7 + t^9 + t^12 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + t^3*x^3 + (t^3 + t^5 + t^6)*x^2 + (t^4 + t^6)*x + t^2 + t^4 + t^8 + t^10 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + t^3*x^3 + (t^3 + t^5)*x^2 + (t^4 + t^6)*x + t^2 + t^4 + t^7 + t^8 + t^9 + t^10 + t^12 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + t^3*x^3 + (t^3 + t^6)*x^2 + (t^4 + t^6 + t^8)*x + t^2 + t^4 + t^6 + t^8 + t^10 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + t^3*x^3 + t^3*x^2 + (t^4 + t^6 + t^8)*x + t^2 + t^4 + t^6 + t^7 + t^8 + t^9 + t^10 + t^11 + t^12 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + t^3*x^3 + (t^3 + t^5 + t^6)*x^2 + (t^4 + t^6 + t^8)*x + t^2 + t^4 + t^10 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + t^3*x^3 + (t^3 + t^5)*x^2 + (t^4 + t^6 + t^8)*x + t^2 + t^4 + t^7 + t^9 + t^10 + t^11 + t^12 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 6, 6 ] 1 2 |
x^4 + (1 + t^3 + t^6)*x^2 + (t^3 + t^6)*x + 1 + t + t^2 + t^3 + t^4 + t^6 | 2 | 2 | 12 | C22 (4T2) | 4 | 2 | [ 6 ] 1 2 |
x^4 + t^9*x + t^2 + t^7 + t^12 | 2 | 2 | 12 | C4 (4T1) | 4 | 2 | [ 6 ] 1 2 |
x^4 + (t^5 + t^6)*x^2 + t^8*x + t^2 + t^6 + t^10 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 2, 6 ] 1 2 |
x^4 + t^5*x^2 + (t^8 + t^9)*x + t^2 + t^6 + t^7 + t^10 + t^12 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 2, 6 ] 1 2 |
x^4 + (1 + t^3 + t^6)*x^2 + (t^3 + t^6)*x + 1 + t + t^2 + t^3 + t^4 + t^5 + t^6 + t^8 + t^10 | 2 | 2 | 12 | C22 (4T2) | 4 | 2 | [ 6 ] 1 2 |
x^4 + t^9*x + t^2 + t^7 + t^10 + t^11 + t^12 | 2 | 2 | 12 | C4 (4T1) | 4 | 2 | [ 6 ] 1 2 |
x^4 + (t^3 + t^6)*x^2 + t^6*x + t^2 + t^4 + t^6 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 4, 6 ] 1 2 |
x^4 + t^3*x^2 + (t^6 + t^9)*x + t^2 + t^4 + t^6 + t^7 + t^12 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 4, 6 ] 1 2 |
x^4 + (t^3 + t^5 + t^6)*x^2 + (t^6 + t^8)*x + t^2 + t^4 + t^10 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 4, 6 ] 1 2 |
x^4 + (t^3 + t^5)*x^2 + (t^6 + t^8 + t^9)*x + t^2 + t^4 + t^7 + t^10 + t^12 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 4, 6 ] 1 2 |
x^4 + (t^3 + t^6)*x^2 + t^6*x + t^2 + t^4 + t^6 + t^8 + t^10 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 4, 6 ] 1 2 |
x^4 + t^3*x^2 + (t^6 + t^9)*x + t^2 + t^4 + t^6 + t^7 + t^8 + t^10 + t^11 + t^12 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 4, 6 ] 1 2 |
x^4 + (t^3 + t^5 + t^6)*x^2 + (t^6 + t^8)*x + t^2 + t^4 + t^8 + t^10 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 4, 6 ] 1 2 |
x^4 + (t^3 + t^5)*x^2 + (t^6 + t^8 + t^9)*x + t^2 + t^4 + t^7 + t^8 + t^10 + t^11 + t^12 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 4, 6 ] 1 2 |
x^4 + (1 + t^3 + t^6)*x^2 + (t^3 + t^6)*x + 1 + t + t^2 + t^4 + t^6 | 2 | 2 | 12 | C22 (4T2) | 4 | 2 | [ 6 ] 1 2 |
x^4 + t^9*x + t^2 + t^6 + t^7 + t^9 + t^12 | 2 | 2 | 12 | C4 (4T1) | 4 | 2 | [ 6 ] 1 2 |
x^4 + (t^5 + t^6)*x^2 + t^8*x + t^2 + t^8 + t^10 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 2, 6 ] 1 2 |
x^4 + t^5*x^2 + (t^8 + t^9)*x + t^2 + t^7 + t^8 + t^9 + t^10 + t^12 | 2 | 2 | 12 | D4 (4T3) | 8 | 4 | [ 2, 6 ] 1 2 |
x^4 + (1 + t^3 + t^6)*x^2 + (t^3 + t^6)*x + 1 + t + t^2 + t^4 + t^5 + t^6 + t^8 + t^10 | 2 | 2 | 12 | C22 (4T2) | 4 | 2 | [ 6 ] 1 2 |
x^4 + t^9*x + t^2 + t^6 + t^7 + t^9 + t^10 + t^11 + t^12 | 2 | 2 | 12 | C4 (4T1) | 4 | 2 | [ 6 ] 1 2 |
x^4 + t^3*x + t | 4 | 1 | 12 | D4 (4T3) | 8 | 4 | [ 4, 4 ] 1 2 |
x^4 + t^3*x + t + t^4 | 4 | 1 | 12 | D4 (4T3) | 8 | 4 | [ 4, 4 ] 1 2 |
x^4 + t^3*x^2 + t^3*x + t | 4 | 1 | 12 | D4 (4T3) | 8 | 4 | [ 4, 4 ] 1 2 |
x^4 + t^3*x^2 + t^3*x + t + t^4 | 4 | 1 | 12 | D4 (4T3) | 8 | 4 | [ 4, 4 ] 1 2 |
x^4 + t^3*x + t + t^3 | 4 | 1 | 12 | D4 (4T3) | 8 | 4 | [ 4, 4 ] 1 2 |
x^4 + t^3*x + t + t^3 + t^4 | 4 | 1 | 12 | D4 (4T3) | 8 | 4 | [ 4, 4 ] 1 2 |
x^4 + t^3*x^2 + t^3*x + t + t^3 | 4 | 1 | 12 | D4 (4T3) | 8 | 4 | [ 4, 4 ] 1 2 |
x^4 + t^3*x^2 + t^3*x + t + t^3 + t^4 | 4 | 1 | 12 | D4 (4T3) | 8 | 4 | [ 4, 4 ] 1 2 |
x^4 + t^2*x^2 + t^3*x + t | 4 | 1 | 12 | A4 (4T4) | 12 | 4 | [ 4, 4 ] 1 3 |
x^4 + (t^2 + t^3)*x^2 + t^3*x + t | 4 | 1 | 12 | A4 (4T4) | 12 | 4 | [ 4, 4 ] 1 3 |
x^4 + t^2*x^2 + t^3*x + t + t^3 | 4 | 1 | 12 | A4 (4T4) | 12 | 4 | [ 4, 4 ] 1 3 |
x^4 + (t^2 + t^3)*x^2 + t^3*x + t + t^3 | 4 | 1 | 12 | A4 (4T4) | 12 | 4 | [ 4, 4 ] 1 3 |
x^4 + t*x^2 + t^3*x + t | 4 | 1 | 12 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |
x^4 + t*x^2 + t^3*x + t + t^5 | 4 | 1 | 12 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |
x^4 + (t + t^4)*x^2 + t^3*x + t | 4 | 1 | 12 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |
x^4 + (t + t^4)*x^2 + t^3*x + t + t^5 | 4 | 1 | 12 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |
x^4 + (t + t^3)*x^2 + t^3*x + t | 4 | 1 | 12 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |
x^4 + (t + t^3)*x^2 + t^3*x + t + t^5 | 4 | 1 | 12 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |
x^4 + (t + t^3 + t^4)*x^2 + t^3*x + t | 4 | 1 | 12 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |
x^4 + (t + t^3 + t^4)*x^2 + t^3*x + t + t^5 | 4 | 1 | 12 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |
x^4 + t*x^2 + t^3*x + t + t^2 | 4 | 1 | 12 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |
x^4 + t*x^2 + t^3*x + t + t^2 + t^5 | 4 | 1 | 12 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |
x^4 + (t + t^4)*x^2 + t^3*x + t + t^2 | 4 | 1 | 12 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |
x^4 + (t + t^4)*x^2 + t^3*x + t + t^2 + t^5 | 4 | 1 | 12 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |
x^4 + (t + t^3)*x^2 + t^3*x + t + t^2 | 4 | 1 | 12 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |
x^4 + (t + t^3)*x^2 + t^3*x + t + t^2 + t^5 | 4 | 1 | 12 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |
x^4 + (t + t^3 + t^4)*x^2 + t^3*x + t + t^2 | 4 | 1 | 12 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |
x^4 + (t + t^3 + t^4)*x^2 + t^3*x + t + t^2 + t^5 | 4 | 1 | 12 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |
x^4 + t^3*x^3 + t^2*x^2 + t^4*x + t + t^3 + t^4 | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |
x^4 + t^3*x^3 + (t + t^3)*x^2 + t + t^3 + t^5 | 4 | 1 | 14 | D4 (4T3) | 8 | 4 | [ 2, 6 ] 1 2 |
x^4 + t^3*x^3 + t^2*x^2 + t^4*x + t + t^2 + t^3 + t^4 | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |
x^4 + t^3*x^3 + t*x^2 + t | 4 | 1 | 14 | D4 (4T3) | 8 | 4 | [ 2, 6 ] 1 2 |
x^4 + t^3*x^3 + t^2*x^2 + t^4*x + t + t^5 | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |
x^4 + t^3*x^3 + (t + t^2 + t^4)*x^2 + t + t^3 + t^4 | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 6 ] 1 1 |
x^4 + t^3*x^3 + t^2*x^2 + t^4*x + t + t^2 + t^5 | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |
x^4 + t^3*x^3 + t*x^2 + t + t^2 | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 6 ] 1 1 |
x^4 + t^3*x^3 + t^2*x^2 + t^4*x + t + t^3 + t^5 | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |
x^4 + t^3*x^3 + (t + t^2 + t^4)*x^2 + t + t^2 + t^3 + t^4 | 4 | 1 | 14 | C22 (4T2) | 4 | 4 | [ 2, 6 ] 1 1 |
x^4 + t^3*x^3 + t^2*x^2 + t^4*x + t + t^2 + t^3 + t^5 | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |
x^4 + t^3*x^3 + t*x^2 + t + t^3 | 4 | 1 | 14 | C22 (4T2) | 4 | 4 | [ 2, 6 ] 1 1 |
x^4 + t^3*x^3 + t*x^2 + t + t^2 + t^3 | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 6 ] 1 1 |
x^4 + t^3*x^3 + t*x^2 + t + t^4 | 4 | 1 | 14 | D4 (4T3) | 8 | 4 | [ 2, 6 ] 1 2 |
x^4 + t^3*x^3 + t*x^2 + t + t^3 + t^4 | 4 | 1 | 14 | C4 (4T1) | 4 | 4 | [ 2, 6 ] 1 1 |
x^4 + t^3*x^3 + (t + t^2 + t^3)*x^2 + t + t^2 | 4 | 1 | 14 | C22 (4T2) | 4 | 4 | [ 2, 6 ] 1 1 |
x^4 + t^3*x^3 + (t + t^2 + t^3)*x^2 + t + t^3 | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 6 ] 1 1 |
x^4 + t^3*x^3 + t*x^2 + t + t^5 | 4 | 1 | 14 | C4 (4T1) | 4 | 4 | [ 2, 6 ] 1 1 |
x^4 + t^3*x^3 + t*x^2 + t + t^2 + t^5 | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 6 ] 1 1 |
x^4 + t^3*x^3 + t^4*x + t | 4 | 1 | 14 | S4 (4T5) | 24 | 12 | [ 14/3, 14/3 ] 3 2 |
x^4 + t^3*x^3 + (t + t^2 + t^3)*x^2 + t + t^2 + t^4 | 4 | 1 | 14 | C4 (4T1) | 4 | 4 | [ 2, 6 ] 1 1 |
x^4 + t^3*x^3 + t^4*x + t + t^2 | 4 | 1 | 14 | S4 (4T5) | 24 | 12 | [ 14/3, 14/3 ] 3 2 |
x^4 + t^3*x^3 + (t + t^2 + t^3)*x^2 + t + t^3 + t^4 | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 6 ] 1 1 |
x^4 + t^3*x^3 + t^4*x + t + t^3 | 4 | 1 | 14 | S4 (4T5) | 24 | 12 | [ 14/3, 14/3 ] 3 2 |
x^4 + t^3*x^3 + t*x^2 + t + t^2 + t^3 + t^5 | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 6 ] 1 1 |
x^4 + t^3*x^3 + t^4*x + t + t^2 + t^3 | 4 | 1 | 14 | S4 (4T5) | 24 | 12 | [ 14/3, 14/3 ] 3 2 |
x^4 + t^3*x^3 + t*x^2 + t + t^4 + t^5 | 4 | 1 | 14 | C22 (4T2) | 4 | 4 | [ 2, 6 ] 1 1 |
x^4 + t^3*x^3 + (t + t^2 + t^3)*x^2 + t + t^2 + t^5 | 4 | 1 | 14 | D4 (4T3) | 8 | 4 | [ 2, 6 ] 1 2 |
x^4 + t^3*x^3 + (t + t^2)*x^2 + t | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 6 ] 1 1 |
x^4 + t^3*x^3 + (t + t^2)*x^2 + t + t^2 | 4 | 1 | 14 | D4 (4T3) | 8 | 4 | [ 2, 6 ] 1 2 |
x^4 + t^3*x^3 + (t + t^2 + t^3)*x^2 + t + t^2 + t^4 + t^5 | 4 | 1 | 14 | D4 (4T3) | 8 | 4 | [ 2, 6 ] 1 2 |
x^4 + t^3*x^3 + (t + t^2)*x^2 + t + t^2 + t^3 | 4 | 1 | 14 | C22 (4T2) | 4 | 4 | [ 2, 6 ] 1 1 |
x^4 + t^3*x^3 + (t + t^2)*x^2 + t + t^4 | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 6 ] 1 1 |
x^4 + t^3*x^3 + (t + t^2)*x^2 + t + t^2 + t^4 | 4 | 1 | 14 | D4 (4T3) | 8 | 4 | [ 2, 6 ] 1 2 |
x^4 + t^3*x^3 + (t + t^2)*x^2 + t + t^2 + t^3 + t^4 | 4 | 1 | 14 | C4 (4T1) | 4 | 4 | [ 2, 6 ] 1 1 |
x^4 + t^3*x^3 + (t + t^4)*x^2 + t + t^2 + t^3 | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 6 ] 1 1 |
x^4 + t^3*x^3 + (t + t^2)*x^2 + t + t^5 | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 6 ] 1 1 |
x^4 + t^3*x^3 + (t + t^2 + t^3 + t^4)*x^2 + t + t^2 | 4 | 1 | 14 | C4 (4T1) | 4 | 4 | [ 2, 6 ] 1 1 |
x^4 + t^3*x^3 + (t + t^4)*x^2 + t + t^2 + t^3 + t^4 | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 6 ] 1 1 |
x^4 + t^3*x^3 + (t + t^2)*x^2 + t + t^4 + t^5 | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 6 ] 1 1 |
x^4 + t^3*x^3 + (t + t^2 + t^3 + t^4)*x^2 + t + t^2 + t^4 | 4 | 1 | 14 | C22 (4T2) | 4 | 4 | [ 2, 6 ] 1 1 |
x^4 + t^3*x^3 + (t + t^3)*x^2 + t | 4 | 1 | 14 | C22 (4T2) | 4 | 4 | [ 2, 6 ] 1 1 |
x^4 + t^3*x^3 + (t + t^3)*x^2 + t + t^2 | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 6 ] 1 1 |
x^4 + t^3*x^3 + (t + t^3)*x^2 + t + t^3 | 4 | 1 | 14 | C4 (4T1) | 4 | 4 | [ 2, 6 ] 1 1 |
x^4 + t^3*x^3 + (t + t^3)*x^2 + t + t^4 | 4 | 1 | 14 | C4 (4T1) | 4 | 4 | [ 2, 6 ] 1 1 |
x^4 + t^3*x^3 + (t + t^3)*x^2 + t + t^2 + t^4 | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 6 ] 1 1 |
x^4 + t^3*x^3 + (t + t^3)*x^2 + t + t^3 + t^4 | 4 | 1 | 14 | C22 (4T2) | 4 | 4 | [ 2, 6 ] 1 1 |
x^4 + t^3*x^3 + (t + t^2 + t^4)*x^2 + t + t^3 | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 6 ] 1 1 |
x^4 + t^3*x^3 + (t + t^2 + t^4)*x^2 + t + t^2 + t^3 | 4 | 1 | 14 | C4 (4T1) | 4 | 4 | [ 2, 6 ] 1 1 |
x^4 + t^3*x^3 + (t + t^3)*x^2 + t + t^5 | 4 | 1 | 14 | D4 (4T3) | 8 | 4 | [ 2, 6 ] 1 2 |
x^4 + t^3*x^3 + t^2*x^2 + t^4*x + t + t^4 + t^5 | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |
x^4 + t^3*x^3 + t^2*x^2 + t^4*x + t + t^2 + t^4 + t^5 | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |
x^4 + t^3*x^3 + t^2*x^2 + t^4*x + t + t^3 + t^4 + t^5 | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |
x^4 + t^3*x^3 + t^2*x^2 + t^4*x + t + t^2 + t^3 + t^4 + t^5 | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |
x^4 + t^3*x^3 + t^3*x^2 + t^4*x + t | 4 | 1 | 14 | S4 (4T5) | 24 | 12 | [ 14/3, 14/3 ] 3 2 |
x^4 + t^3*x^3 + t^3*x^2 + t^4*x + t + t^2 | 4 | 1 | 14 | S4 (4T5) | 24 | 12 | [ 14/3, 14/3 ] 3 2 |
x^4 + t^3*x^3 + t^3*x^2 + t^4*x + t + t^3 | 4 | 1 | 14 | S4 (4T5) | 24 | 12 | [ 14/3, 14/3 ] 3 2 |
x^4 + t^3*x^3 + t^3*x^2 + t^4*x + t + t^2 + t^3 | 4 | 1 | 14 | S4 (4T5) | 24 | 12 | [ 14/3, 14/3 ] 3 2 |
x^4 + t^3*x^3 + t^2*x^2 + t^4*x + t | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |
x^4 + t^3*x^3 + t^2*x^2 + t^4*x + t + t^2 | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |
x^4 + t^3*x^3 + t^2*x^2 + t^4*x + t + t^3 | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |
x^4 + t^3*x^3 + t^2*x^2 + t^4*x + t + t^2 + t^3 | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |
x^4 + t^3*x^3 + t^2*x^2 + t^4*x + t + t^4 | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |
x^4 + t^3*x^3 + t^2*x^2 + t^4*x + t + t^2 + t^4 | 4 | 1 | 14 | D4 (4T3) | 8 | 8 | [ 2, 4, 5 ] 1 1 |