Database of Local Fields of positive characteristic

The table presents all isomorphism classes of degree 7 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^7 + x + 1 1 7 0 C7 ( 7T1 ) 7 1 [ ] 1 7
x^7 + t 7 1 6 C7 : C3 ( 7T3 ) 21 7 [ ] 7 3
inserted by FC2 system