Number Theory Tables, Department of Mathematics and Statistics, UNCG

Number of totally ramified extensions of Q(δ)≅Q3[x]/(x2+2x+2) of degree 3

j Ramification Polygon Slopes Residual Polynomials #A Polynomials Extensions
1{(1,1), (3,0)}[ 1/2 ](z+1)88242424
2{(1,2), (3,0)}[ 1 ](z2+1)412122424
(z2+δ)4412
3{(1,3), (3,0)}[ 3/2 ](z+2)19272727