Markus Hormess and Georg Junker More on coupling coefficients for the most degenerate representations of SO(n) (173K, Postscript) ABSTRACT. We present explicit closed-form expressions for the 6j-symbols of the most degenerate representations of SO(n). The general group-theoretical factor appearing in the $\alpha$-topology of a high-temperature expansion of $SO(n)$-symmetric lattice models, which is closely related to these $ 6j $-symbols, is discussed in detail.