Keywords: CyclicCubicNumberFieldFundamentalDomain.svg en A fundamental domain of the maximal order of the field K obtained by adjoining to Q a root of f x x<sup>3</sup> 21x 35 This field is a Galois extension of degree 3 Its discriminant is 3969 7<sup>2</sup>×9<sup>2</sup> Accordingly the volume of the fundamental domain is 63 7×9 The three roots of f are approximately 5 258845 -2 121082 -3 137763 Own work using mathematica RobHar 2010-06-12 SVG mathematics Number theory Minkowski theorem lattices Polyhedra Geometry diagrams Mathematica diagrams Galois theory |