$L_{14\Sigma}^{(0)}$


A set of isolated Hadamard matrices $L_{14\Sigma}^{(0)}$ for $\Sigma \in\{ A, B,..., N\}$ was found by P. Lampio [19].

The example of $L_{14A}^{(0)}$ is the following matrix composed of fourth roots of unity: $$L_{14A}^{(0)}=\left[\begin{array}{rrrrrrrrrrrrrr} 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1\\ 1 & 1 & 1 & -1 & -1 & 1 & -i & -1 & -1 & i & -i & -1 & i & 1\\ 1 & 1 & i & i & i & -i & 1 & -i & -1 & -i & -1 & 1 & -1 & -1\\ 1 & 1 & i & -i & -i & -i & -1 & i & i & -1 & 1 & i & -i & -1\\ 1 & 1 & -i & 1 & -1 & i & -1 & -i & 1 & 1 & i & -1 & -1 & -1\\ 1 & i & -1 & -i & -1 & -1 & -i & i & 1 & -i & -1 & 1 & i & 1\\ 1 & i & -i & i & 1 & -1 & -1 & -i & -i & -1 & -i & i & 1 & i\\ 1 & -1 & 1 & 1 & -1 & i & i & i & -1 & -i & -i & -i & 1 & -1\\ 1 & -1 & 1 & -i & i & -1 & 1 & -1 & -i & i & i & i & -i & -i\\ 1 & -1 & i & -1 & 1 & 1 & -1 & -1 & 1 & 1 & -1 & -i & -i & i\\ 1 & -1 & -1 & 1 & i & -i & -1 & 1 & -1 & i & 1 & -i & -1 & 1\\ 1 & -1 & -i & -1 & -i & 1 & i & -i & i & -1 & i & 1 & i & -i\\ 1 & -i & -1 & i & 1 & i & 1 & i & 1 & -1 & -i & -1 & -1 & -i\\ 1 & -i & -1 & -1 & -i & -1 & 1 & 1 & -1 & 1 & i & -1 & 1 & i \end{array}\right].$$