Number Theory Tables, Department of Mathematics and Statistics, UNCG

Number of totally ramified extensions of Q2 of degree 2

Introduction

Polynomial Invariants #Aut Splitting Field Number of
j Ramification Polygon Slopes Residual Polynomials fT eT #Gal Gal Polynomials Extensions
1{(1,1), (2,0)}[ 1 ](z+1){2}11{ 2 }{ 2T1 }2222
2{(1,2), (2,0)}[ 2 ](z+1){2}11{ 2 }{ 2T1 }22 [.]222222