Galois realizable permutation groups satisfying (**)

The included csv file (final.csv, ; as delimiter) is a delimited text file that contains data on Galois number fields such that the Galois group satisfy property (**). For more information see our paper (J. Capco and C. Scheiderer). The file lists all the transitive permutation groups of even degree 5<2d<17 with a fixed-point-free involution (fpfi) up to action of the symmetric normalizer that satisfy (**). These involutions are always given as the product of transpositions of the form (1,2)(3,4)...(2d-1,2d) for the MAGMA generator of the group shown in the 6th column-entry of the file. This file shows that all transitive permutation group of even degree > 5 up to degree 16 with a fixed-point-free involution that satisfy (**) is Galois realizable with a complex Galois number field so that the said involution is identified with the complex conjugation. The examples are given as polynomials whose splitting field correspond to these Galois number fields.

Readme.txt explains how to read the csv file.