A table of totally real quintic number fields

Abstract

We give a table of the 1077 totally real number fields of degree five having a discriminant less than 2 000 000. There are two nonisomorphic fields of discriminant 1 810 969 and two nonisomorphic fields of discriminant 1 891 377. All the other number fields in the table are characterized by their discriminant. Among these fields, three are cyclic and four have a Galois closure whose Galois group is the dihedral group D 5 {D_5} . The Galois closure for all the other fields in the table has a Galois group isomorphic to S 5 {S_5} .