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1993 The totally real $A_6$ extension of degree 6 with minimum discriminant
David Ford, Michael Pohst
Experiment. Math. 2(3): 231-232 (1993).

Abstract

The totally real algebraic number field $F$ of degree 6 with Galois group $A_6$ and minimum discriminant is determined. It is unique up to isomorphy, and is generated by a root of the polynomial $t^6 - 24 t^4 + 21 t^2 + 9 t + 1$ over the rationals. We also give an integral basis and list the fundamental units and class number of $F$.

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David Ford. Michael Pohst. "The totally real $A_6$ extension of degree 6 with minimum discriminant." Experiment. Math. 2 (3) 231 - 232, 1993.

Information

Published: 1993
First available in Project Euclid: 3 September 2003

zbMATH: 0799.11052
MathSciNet: MR1273411

Subjects:
Primary: 11R20
Secondary: 11R80 , 11Y40

Rights: Copyright © 1993 A K Peters, Ltd.

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Vol.2 • No. 3 • 1993
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