The Landau-Ginzburg parameter space for A, D and E topological twisted N = 2 models is surveyed. A point is found, where the amplitudes possess a higher symmetry (e.g. both three-point functions c(ijl) and c(ij)l are symmetric in i, j, l) and identified with the appropriate SU(2)/SU(2) topological conformal field theory, presenting the fusion ring as a polynomial ring.