Generally, p = 3 in all examples. The information about the 14 totally real cubic discriminants with multiplicities 4,6 has been taken from [10]. Data for the 69 complex cubic discriminants with multiplicities 6,9 has kindly been made available by the authors of [5] in personal communication. A common feature of all examples is that the 3-rank of the ring class group mod f of the quadratic field k is always p + t + w b(f) = 3, whence the sum of all partial multiplicities equals _(3P+t?+-5 1) = 13. Both parts (ws 1, denote by On the suborder Z H Zn (dk + w) of the maximal order Ok, where w = V/di. Then the unit group U(O,,) is exactly the intersection Uk n Q'X (n) .kn In the totally real case, the fundamental unit of k is denoted by q7. If p = 0, then the condition 7 E On, is certainly sufficient for d(n) = 0.