A table of totally real quintic number fields

Diaz y Diaz, F.

doi:10.1090/S0025-5718-1991-1068820-3

A table of totally real quintic number fields
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Math. Comp. 56 (1991), 801-808 Request permission

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 ${D_5}$. The Galois closure for all the other fields in the table has a Galois group isomorphic to ${S_5}$.

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