Number fields with solvable Galois groups and small Galois root discriminants
Number fields with solvable Galois groups and small Galois root discriminants
We apply class field theory to compute complete tables of number fields with Galois root discriminant less than $8\pi e^{\gamma }$. This includes all solvable Galois groups which appear in degree less than $10$, groups of order less than $24$, and all dihedral groups $D_p$ where $p$ is prime.