52×52 {-1, +1} matrices of maximal determinant

Ratio of |Det R_j| to Hadamard bound: 1

M=R_j^TR_j= R_j R_j^T=52 I
where I is the 52×52 identity matrix.

Notes:

1. Maximal matrix first reported by Paley [P].
2. Christos Koukouvinos has a file of 7046 skew-Hadamard matrices of order 52 on his home page. Jennifer Seberry's web site lists four Williamson-type Hadamard matrices of order 52.