$S_{14}^{(0)}$


An isolated complex Hadamard matrix found by D. McNulty and S. Weigert [108] $$ S_{14}=S_{14}^{(0)}=\left[\begin{array}{llllllllllllll} 1& 1& 1& 1& 1& 1& 1& 1& 1& 1& 1& 1& 1& 1\\ 1& w& w^2& w^3& w^4& w^5& w^6& 1& w& w^2& w^3& w^4& w^5& w^6\\ 1&w^2& w^4& w^6& w& w^3& w^5& w^2& w^4& w^6& w& w^3& w^5& 1\\ 1&w^3& w^6& w^2& w^5& w& w^4& w^6& w^2& w^5& w& w^4& 1& w^3\\ 1&w^4& w& w^5& w^2& w^6& w^3& w^5& w^2& w^6& w^3& 1& w^4& w\\ 1&w^5& w^3& w& w^6& w^4& w^2& w^6& w^4& w^2& 1& w^5& w^3& w\\ 1&w^6& w^5& w^4& w^3& w^2& w& w^2& w& 1& w^6& w^5& w^4& w^3\\ 1& w& w^3& w^6& w^3& w& 1& w^5& w^5& w^4& w^2& w^6& w^2& w^4\\ 1& 1& w& w^3& w^6& w^3& w& w^4& w^5& w^5& w^4& w^2& w^6& w^2\\ 1&w^6& w^6& 1& w^2& w^5& w^2& w& w^3& w^4& w^4& w^3& w& w^5\\ 1&w^5& w^4& w^4& w^5& 1& w^3& w^3& w^6& w& w^2& w^2& w& w^6\\ 1&w^4& w^2& w& w& w^2& w^4& w^3& 1& w^3& w^5& w^6& w^6& w^5\\ 1&w^3& 1& w^5& w^4& w^4& w^5& w& w^6& w^3& w^6& w& w^2& w^2\\ 1&w^2& w^5& w^2& 1& w^6& w^6& w^4& w^3& w& w^5& w& w^3& w^4 \end{array}\right]: \quad w=\exp\frac{2i\pi}{7}.$$