Previous 53×53 {-1, +1} matrix of largest known determinant

|Det R| = 733866641546148933267196928072×252 = 104×1325×252

Ratio of |Det R| to Barba bound: 0.78072

M=RTR: 

53 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7 -7
-3 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-3  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-3  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-3  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-3  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-3  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-3  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-3  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-3  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-3  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-3  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-3  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-3  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1
-7  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53

M'=R RT: 

53  9  9  9  9  9  9  9  9  9  9  9  9  9  5  5  5  5  5  5  5  5  5  5  5  5  5  5  5  5  5  5  5  5  5  5  5  5  5  5  5  5  5  5  5  5  5  5  5  5  5  5  5
 9 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 9  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 9  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 9  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 9  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 9  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 9  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 9  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 9  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 9  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 9  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 9  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 9  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53  1
 5  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 53

R: 

-++++++++++++++++++++++++++++++++++++++++++++++++++++
+--+++-++++++++++-++-++----++++-++-+----++-+-+-+-++--
++--+++-++++++++-++-++----++++-++-+----++-+-+-+-++--+
+++--+++-++++++-++-++----++++-++-+----++-+-+-+-++--++
++++--+++-++++-++-++----++++-++-+----++++-+-+-++--++-
+++++--+++-+++++-++----+++--++-+----++++-+-+-++--++-+
++++++--+++-+++-++----+++-+++-+----++++-+-+-++--++-+-
+++++++--+++-+-++----+++-+++-+----++++-+-+-++--++-+-+
++++++++--+++-++----+++-++--+----++++-+++-++--++-+-+-
+-+++++++--++++----+++-++-++----++++-++--++--++-+-+-+
++-+++++++--++----+++-++-++----++++-++-+++--++-+-+-+-
+++-+++++++--+---+++-++-++----++++-++-+-+--++-+-+-+-+
++++-+++++++----+++-++-++----++++-++-+----++-+-+-+-++
+-+++-+++++++--+++-++-++----++++-++-+----++-+-+-+-++-
+---+--+--++++--+++-++++++++--+-+-+-+--+---+-++-++++-
+--+--+--++++-+--+++-++++++--+-+-+-+--++--+-++-++++--
+-+--+--++++--++--+++-+++++-+-+-+-+--++--+-++-++++---
++--+--++++---+++--+++-+++++-+-+-+--++--+-++-++++----
+--+--++++---+++++--+++-+++-+-+-+--++--+-++-++++----+
+-+--++++---+-+++++--+++-+++-+-+--++--+-++-++++----+-
++--++++---+--++++++--+++-+-+-+--++--+-++-++++----+-+
+--++++---+--++++++++--+++-+-+--++--+-+--++++----+-++
+-++++---+--+--+++++++--+++-+--++--+-+-+++++----+-++-
+++++---+--+--+-+++++++--+++--++--+-+-+-+++----+-++-+
++++---+--+--+++-+++++++--+--++--+-+-+-+++----+-++-++
+++---+--+--+++++-+++++++---++--+-+-+-+-+----+-++-+++
++---+--+--+++-+++-+++++++-++--+-+-+-+------+-++-++++
+----+--+-++++-++-+-+-+-++---+++-++++++++++--+--+---+
+---+--+-++++-++-+-+-+-++--+--+++-++++++++--+--+---++
+--+--+-++++--+-+-+-+-++--+++--+++-++++++--+--+---+++
+-+--+-++++----+-+-+-++--+++++--+++-++++--+--+---++++
++--+-++++----+-+-+-++--++-++++--+++-+++-+--+---++++-
+--+-++++----+-+-+-++--++-++++++--+++-+++--+---++++--
+-+-++++----+-+-+-++--++-+-++++++--+++-+--+---++++--+
++-++++----+---+-++--++-+-++++++++--+++--+---++++--+-
+-++++----+--++-++--++-+-+--+++++++--++++---++++--+--
+++++----+--+--++--++-+-+-++-+++++++--++---++++--+--+
++++----+--+-+++--++-+-+-+-++-+++++++--+--++++--+--+-
+++----+--+-+++--++-+-+-+-++++-+++++++---++++--+--+--
++----+--+-+++--++-+-+-+-++-+++-+++++++-++++--+--+---
+--+-+-+-+--+++++-+--+----+---++-++-+++---+++-+++++++
+-+-+-+-+--++-++-+--+----++--++-++-+++--+--+++-++++++
++-+-+-+--++--+-+--+----+++-++-++-+++---++--+++-+++++
+-+-+-+--++--+-+--+----++++++-++-+++----+++--+++-++++
++-+-+--++--+-+--+----++++-+-++-+++----+++++--+++-+++
+-+-+--++--+-+--+----++++-+-++-+++----+++++++--+++-++
++-+--++--+-+--+----++++-+-++-+++----++-++++++--+++-+
+-+--++--+-+-++----++++-+--+-+++----++-++++++++--+++-
++--++--+-+-+-----++++-+--+-+++----++-++-+++++++--+++
+--++--+-+-+-+---++++-+--+-+++----++-++-+-+++++++--++
+-++--+-+-+-+---++++-+--+--++----++-++-+++-+++++++--+
+++--+-+-+-+---++++-+--+---+----++-++-+++++-+++++++--
++--+-+-+-+--+++++-+--+--------++-++-+++-+++-+++++++-

Notes:

  1. There is a new record surpassing this one.
  2. Cannot achieve Barba bound as 105=2×53-1 is not a perfect square.
  3. R was obtained using the construction of Farmakis and Kounias [FK] on their 52×52 Hadamard matrix of maximal excess. (The maximal excess is 364.)
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Page created 20 March 2002.
Last modified 16 February 2003.
Comments: maxdet@indiana.edu