Let \(f{:}\,\mathbb {C}^2\rightarrow \mathbb {C}\) be an inner non-degenerate mixed polynomial with a \(\Gamma \) -nice Newton boundary with N compact 1-faces. In the first part of this series of papers we showed that f has a weakly isolated singularity and that its link can be constructed from a sequence of links \(L_1, L_2,\ldots ,L_N\) , each of which is associated with a compact 1-face of the Newton boundary of f. In this paper, we offer a complete description of the links of singularities of inner non-degenerate mixed polynomials with \(\Gamma \) -nice Newton boundary. We show that a link arises as the link of such a singularity if and only if it is the result of the procedure from Part 1 for a sequence of links \(L_1,L_2,\ldots ,L_N\) that all satisfy certain symmetry conditions. We prove the same result for convenient, Newton non-degenerate mixed polynomials with \(\Gamma \) -nice Newton boundary. We also introduce the notion of P-fibered braids with O-multiplicities and coefficients, which allows us to describe the links of isolated singularities of strongly inner non-degenerate semiholomorphic polynomials (as opposed to weakly isolated singularities).
