On the Computation of Totally Real Quartic Fields of Small Discriminant
On the Computation of Totally Real Quartic Fields of Small Discriminant
All totally real quartic fields of discriminant less than ${10^6}$ are computed. The method used to generate the fields is derived from Delone and Faddeev, with corrections and improvements. A new method for deciding field isomorphism is used to eliminate redundant examples. Integral bases and Galois groups are given for …