TAKEUCHI, K.: Totally real algebraic number fields of degree 9 with small discriminant

Saitama Mathematical Journal 1999(Vol. 17) pp.63-85


The complete list of all totally real algebraic number fields k of degree 9 with discriminant d(k) satisfying d(k) <= 12000000000 is presented. It is proved that this list consists of two fields k with d(k) = 96585993193, 11779563529 respectively and that each field k is uniquely determined by d(k) up to Q-isomorphism