An effective number geometric method of computing the fundamental units of an algebraic number field
Michael E. Pohst, Hans J. Zassenhaus · Mathematics of Computation · 1977
The Minkowski method of unit search is applied to particular types of parallelotopes permitting to discover algebraic integers of bounded norm in a given algebraic number field of degree n at will by solving successively 2 n 2n linear inequalities for one unknown each. Application is made to the unit search for all totally real number fields of minimal discriminant for n ⩽ 7 n \leqslant 7 .