Number Theory Tables, Department of Mathematics and Statistics, UNCG

Number of totally ramified extensions of Q3 of degree 3

j Ramification Polygon Slopes Residual Polynomials #A Polynomials Extensions
1{(1,1), (3,0)}[ 1/2 ](z+1)22666
2{(1,2), (3,0)}[ 1 ](z2+1)11366
(z2+2)133
3{(1,3), (3,0)}[ 3/2 ](z+2)13999