Non-Hermitian 3 × 3 invertible matrices
A nice and interesting matrix
Here is a real matrix with complex eigenvalues, where the eigenvalue decomposition has "nice" properties, meaning that the decimal representation is finite:
A = [ 5 4 3;
-3 2 3;
-2 -4 -5]
U = [ 0.25+0.5j 0.25-0.5j 0
-0.75 -0.75 -0.6
0.25-0.25j 0.25+0.25j 0.8]
D = diag( [2+3j 2-3j -2] )
The inverse of U is not ideally nice, but nice enough:
invU = [-0.4-1.2j -1.066667-0.533333j -0.8-0.4j
-0.4+1.2j -1.066667+0.533333j -0.8+0.4j
1 1 2
The two odd entries are $-\frac{16}{15} \pm \frac{8}{15}j$.
No component greater than 1 in absolute value
[ 1j -1+1j 1 ; -1j 1j -1+1j; -1-1j 1+1j 1-1j] 1+2j 1-2j -1+j [ 1 1j 1 ; 1 -1 -1j; -1 1 1 ] 1+j 1-j -1 [ -1j -1-1j -1 ; 1 1-1j 1-1j; 1-1j 1+1j -1j] 1-2j -1-j 1 [ 1+1j 1+1j -1-1j; -1+1j -1j -1j; -1+1j -1-1j 1-1j] -2j 1+j 1 [-1-1j 1 1j; 1-1j 1 1+1j; 1+1j -1-1j 1 ] 2-j -1-j j [-1+1j 1+1j 1-1j; 1-1j 1 1 ; -1+1j 1-1j 1-1j] 2-j -2 1+j [-1-1j -1j -1 ; 1+1j -1 -1j; 1j -1+1j -1j] -2 1-j -1-j [ -1j -1j -1j; 1+1j 1-1j -1-1j; -1-1j -1j 1-1j] -2j 1-j 1 [ 1j -1+1j 1j; -1-1j 1j 1j; -1+1j -1+1j 1+1j] -1+2j 1+j 1 [-1+1j 1+1j 1+1j; -1 1 -1+1j; -1+1j 1-1j 1+1j] 2j 1+j -j [ 1 1-1j -1+1j; -1j 1+1j -1-1j; -1j 1j 1-1j] 2 1-j j [ 1j 1-1j -1+1j; -1 1j 1-1j; -1 -1j 1+1j] 2j 1 j [ 1 1j -1j; -1-1j 1+1j -1 ; -1+1j 1+1j 1 ] 2 j 1 [-1-1j 1j 1+1j; 1j -1-1j -1-1j; -1 -1 -1+1j] -1-2j -1+j -1 [ 1 1 -1-1j; -1+1j -1 1+1j; -1j -1-1j -1+1j] -1+j j -j [-1+1j -1j 1j; -1 -1j -1j; -1j -1+1j -1+1j] -2+j 1+j -1-j [-1-1j 1+1j 1+1j; -1-1j 1+1j -1-1j; 1+1j -1+1j -1-1j] -2-2j 2 -1+j [ -1j 1-1j 1+1j; 1+1j -1+1j -1-1j; 1-1j 1-1j 1j] -1+j -1 1 [-1+1j -1+1j -1-1j; 1+1j -1j 1j; -1+1j -1j -1j] -1+j 1-j -1-j [ 1 1-1j -1 ; -1-1j 1+1j 1-1j; 1+1j 1+1j 1+1j] 2+j 2j 1-j [ 1-1j -1 1 ; -1 -1-1j -1j; 1-1j -1-1j -1j] 2-j -1-2j -1 [ 1-1j -1-1j 1+1j; 1 -1j 1-1j; -1j 1j -1 ] 1-2j -2 1 [-1-1j 1j 1-1j; -1-1j -1 -1-1j; -1-1j -1-1j -1 ] -1-2j -2 j [-1+1j -1j 1+1j; -1j -1+1j -1+1j; 1j 1j 1 ] -1+2j -j j [ 1 -1+1j 1+1j; 1j -1 -1j; -1 1+1j -1-1j] 1-2j -2 j [-1-1j -1 1 ; 1j 1 -1 ; 1-1j 1 1j] 1-j j -1 [ 1+1j -1+1j 1-1j; -1-1j 1-1j 1+1j; 1j 1+1j 1 ] 2+j 2 -1-j [ 1+1j -1 1j; 1-1j -1 -1-1j; 1-1j 1+1j 1 ] 2+j -1+j -j [ 1+1j -1 -1-1j; 1+1j 1+1j -1j; 1+1j 1-1j 1j] 2-j 2j 2j [ 1+1j 1 1+1j; 1 -1j -1j; 1+1j -1 1+1j] 2+2j -1-j 1 [-1 1-1j 1-1j; -1-1j 1+1j -1j; 1+1j -1j 1+1j] 1+2j -1 1 [ 1j 1+1j -1-1j; 1+1j -1-1j 1j; 1j -1+1j 1-1j] 1-j -1-j j [ 1j -1j -1 ; 1j 1 1 ; 1j -1j -1j] -1+j 1-j 1 [ 1 1-1j 1+1j; 1-1j 1 -1 ; 1+1j -1-1j 1+1j] 2+2j 2-j -1 [ 1-1j -1j 1-1j; -1+1j -1+1j -1+1j; 1j 1+1j -1 ] -1+j -1-j 1 [ 1+1j -1-1j -1-1j; 1-1j -1 -1-1j; -1j 1-1j 1 ] 1+2j -2j j [ 1j -1j -1+1j; -1-1j 1+1j -1-1j; -1-1j 1j -1j] 1+j -1 1 [ 1j 1j -1 ; 1+1j -1j 1-1j; -1+1j -1+1j -1j] -1-2j j 1 [ 1+1j 1j -1 ; 1-1j -1j 1 ; -1+1j -1-1j 1 ] 2 -j j [ -1j -1-1j -1+1j; 1+1j -1j 1+1j; 1-1j -1+1j 1+1j] 1-2j 1+2j -1-j [-1+1j 1-1j -1j; 1+1j 1j 1-1j; 1+1j 1-1j 1j] -2+j -1+2j 2 [ 1-1j -1-1j 1-1j; 1+1j 1-1j -1-1j; 1-1j 1 -1j] 2-2j 1-2j -1+j [ 1+1j 1 -1+1j; -1 1+1j -1+1j; -1j -1 1 ] 2+j j 1 [ -1j 1+1j -1+1j; 1 -1+1j -1 ; -1-1j 1-1j -1j] -1-j -1 1 [ -1j 1-1j 1-1j; 1-1j 1 1+1j; 1j -1 -1-1j] 1-j -1 -j [-1+1j 1+1j 1j; 1 1j 1 ; 1j -1-1j -1+1j] -1+2j -1 j [-1+1j 1+1j -1j; 1j 1j -1 ; -1j -1-1j 1+1j] 1+2j j -1 [-1-1j 1j 1+1j; 1+1j -1 -1-1j; -1 -1+1j 1+1j] 1+j -1-j -1 [ 1+1j -1j 1j; 1-1j 1j 1j; -1-1j -1-1j -1j] 2-j 2j -1 [-1-1j -1j 1 ; 1 1+1j -1-1j; 1-1j -1+1j 1j] -2+j 2+j -j [-1 -1-1j 1 ; -1 -1j -1+1j; -1+1j -1-1j -1-1j] -2-j -1-j 1 [ 1j -1+1j -1-1j; 1j 1+1j 1+1j; 1+1j 1+1j 1+1j] 2j 1+j 1 [-1+1j 1+1j 1+1j; 1+1j -1-1j -1j; 1-1j 1j -1-1j] -3-j j -j [ 1+1j 1+1j 1j; -1j 1+1j 1+1j; 1+1j -1-1j -1 ] -1+j 1+j 1 [ -1j -1 1+1j; 1-1j 1 1j; 1-1j -1 1j] 1+j 1-j -1 [-1-1j -1j 1-1j; -1+1j -1 -1 ; -1j -1 1+1j] -2-j j 1 [-1 -1j 1+1j; 1+1j 1j 1+1j; 1j 1j -1+1j] 2j -1 -1 [ -1j -1 1 ; 1+1j -1-1j 1j; 1+1j -1+1j -1-1j] -2j -1-j -1 [ -1j -1 1j; -1j 1-1j 1 ; -1j 1j -1j] -2j 2 -1-j [-1-1j 1j -1+1j; -1+1j -1 1-1j; -1 1j -1 ] -2 -1 -j [ 1j -1+1j -1+1j; -1+1j -1+1j 1+1j; -1j 1+1j -1+1j] -1+2j -2 1+j [ 1-1j 1+1j 1-1j; -1-1j 1+1j -1-1j; -1 -1 -1j] -2j 2 j
No component greater than 2 in absolute value
[ -2j 2 2-1j; 2j 1+1j -2+1j; -2-2j -2+2j 2-1j] 1-3j 2-j 2j [ -1j 1+1j 2+2j; 1+1j 2+2j 2-2j; 2-2j 1 -2-1j] -4-j 2+j 2 [ 1-2j -2+2j -2+1j; 2+1j 2j 1+2j; -1 2-1j 2-2j] 2-2j 1+2j -2j [ 1j -1+1j 1-1j; 2 2-2j -2-1j; -1+1j -1+1j 2-1j] 2-j 1-j 1 [ -2j -1+1j 1+2j; 2-2j -1+1j 2+2j; -2-2j -1-2j -1 ] -3+2j 2-2j -1-j [ -1j 1-1j 2 ; 2 -1+1j 2-2j; -2+2j 2 -1+2j] -3+3j 2+j -1-2j [-2-1j -1-2j -1-1j; 2j 1j 2 ; 2-2j 2-1j 2+2j] -3 1+2j 2 [-1-1j -1+2j -1+1j; 2j -2-1j -1+1j; 2-1j -1+2j 1+1j] -1-3j -1+j j [-2-2j -1-1j 1-1j; 2+2j -2 2j; -1-1j 2+2j -2-1j] -2-4j -2+j -2 [ 2+1j -2+1j -1-1j; 2-2j -1+2j -2 ; 2+2j 2+2j -1j] 3j 1-2j j [-2+2j 1 -1-1j; 1-1j -2j 2+2j; -1j -1j 1-1j] -2+2j 2-2j -1-j [-2+2j 2+1j 1 ; -2+2j -1 2-2j; -2+2j 2+1j 1+1j] -2+2j 1+2j -1-j [ -1j -2+2j -1+1j; -1+1j -1+1j 1-1j; -1+1j -2+2j -1j] 1-2j -1+j -1 [-2+1j 2 1 ; 2+1j -1-1j 1-2j; -1+1j -1-1j -1+1j] -2-j -2 2j [ 1+1j 1-1j -1j; -2j -1+2j 2 ; 1+1j -1+2j 1+2j] 4j 2+j -1 [ 1-2j 2 -1-1j; -2-1j -2 1+1j; -1+1j -1+1j -1+1j] 1-3j -1+2j -2 [ 1-1j -2-2j 1 ; 1-2j 2 -1j; 1j -1-1j 2j] 2+3j 1-3j j [-2-2j 2+2j -1+1j; 1j -1+1j -1 ; 2j 2j -2-1j] -2-3j -2+2j -1-j [ 2-2j 2+1j 1 ; -1j 1-2j -1 ; -2 -1j 2-1j] 2-3j 2-j 1-j [ 2+1j 1-1j -1j; 1+2j 1-1j 1+2j; 1+1j 2 2j] 4+j 2j -1-j [ 1+2j -2 -1j; -2+2j 1-1j 2 ; 2-2j -2+1j -1 ] -1+2j 1-2j 1+j [-2+1j -1j 1+1j; -2-1j 2-1j -1-1j; 1 -1j -2+2j] -3+j 2j 1-j [ -2j 1+2j -1-2j; -2 2-2j 1+2j; -2-2j 1 2 ] -4j 3 1 [ 2+2j 2-2j -2j; 2+1j 2-1j -2j; -1j -2j 2j] 1+3j 3-j j [-2+2j -2-1j -1 ; -1+1j -1 2-2j; -1+1j -1+2j 2j] -3 -2+2j 2+2j [ 2+2j 1 1 ; -2j 1-1j -2 ; -2 2+1j 2-1j] 2-3j 1+3j 2 [ 2j -1 2+2j; -1j -1-1j 2j; -2 -2j 2-1j] 3-2j 3j -2-j [ 1j -2-1j 2j; 1 1 -2 ; -2-1j -1j 1j] 2-j 2j -1+j [ 1 1+2j 1+2j; -1j 1+1j 1+1j; -1+1j -1j -2j] 1-2j j 1 [ 2+2j -2+2j 2+2j; -2-2j 2-1j -1-1j; 2+2j 2j -1-1j] 5+j -2-2j j [ 1j -1-2j 1-1j; -1+2j -2+1j 2+2j; -1+2j 1j -2+1j] -3+2j -3-j 2+2j [ -1j -1+1j -1-2j; -2+2j 2 1-1j; 2 1-2j 1-2j] 3-3j -1+2j 1-2j [-2-1j 1+2j -1+1j; -1+2j 2 2+1j; 2j 2-1j 1 ] 2 -1 -j [ -2j 2+2j -2+2j; -2+1j -2-2j -1+1j; -1j 2 -1-1j] -2-4j -2j -1+j [ -1j -1-1j 1j; -2+2j -1+2j 1j; -2+2j -2+2j 1j] -2+3j -j 1 [ 1-2j -2 2+2j; 2+2j 2+1j 1-1j; -1j 1-1j -1-2j] 2-3j -j j [ 1+1j 1-1j -1+2j; -1+2j -1+2j -1-2j; 2 1+1j -1+2j] 1+3j -2+j j [ 1j 1j 1j; 2-1j -1-1j -1+2j; 2-1j -1+2j -1-1j] -3 -3j 1+2j [-1-2j -1 -1+1j; -2-2j -2+1j 2j; 1 2+1j -2+2j] -3-2j -1+3j -1 [-1+1j -1-1j -1+1j; 1+1j -1+1j -1-1j; -2 -1j 1+2j] -2+2j 1+j j [ 2 1-2j 2-2j; 1 -2j -2-2j; 1 2-1j -2-1j] -3j 2-j -2+j [-2-2j 1-2j -1-1j; 2 2+1j 1+1j; 2j -1 -2+2j] -3+2j 2 -1-j [-1-1j -1 1j; -1-1j -1-2j -1j; -2j -2j 2-2j] -2-2j 2-2j -j [ 2j -1j -1-2j; 2-2j -1 1j; -2 -2j -1-2j] 1+2j -1-2j -2 [-2 2j 1-1j; -2+2j -1-1j 2+1j; -1+1j -1-1j 2-1j] 2-2j -2+2j -1-2j [ 1-1j 1+1j -2j; -1 2 -1 ; 1 -1-1j 2+1j] 2-j 2 1+j [ 2 -1j 2 ; -1+1j -1-2j -2j; -2-1j 2-1j 2+2j] 1+3j 2-j -2j [ 2-2j 2j 2-2j; 1+1j -1+1j 1j; -2+2j 1-2j 2j] 2+2j -1-2j j [ 1+1j -1-1j -1+2j; -1j 1+1j -2j; -1-1j -1+1j 1 ] 3+j 1+j -1 [ 2-2j 1 -1+2j; 1+1j -2-2j 1+1j; 1 2-2j -2+2j] -3 1-j -j [-1+2j 1 -1 ; 1-2j 2j 2+2j; -1 1 -1+2j] -3+2j 1+2j 2j [-2+1j -1+1j 2+1j; -1+2j -2 2+1j; -1-1j -1+2j -1+2j] -2+4j -2 -1-j [-2-1j -2+1j -2+2j; 1-2j 2+1j -1+1j; -1j 1j -2+2j] -3-j 2+2j -1+j [ 2+1j -2+1j 1+1j; 1+2j 1-2j -1-1j; -1 -1-2j 1+1j] 1-3j 1+3j 2 [-1 -1j -1-2j; 1-1j 2 -1-1j; -2+2j 1+1j 1j] 3-j -3 1+2j [ -2j 1+1j -2 ; -2-1j -1j -2-2j; -2-1j 1-1j -1-2j] -1-3j 1-2j -1 [ -2j 1j 2j; 1j 2-2j -2j; 1-1j 2 1-1j] 3-3j -1-2j 1 [ -1j -2+1j 1+2j; -2-2j 1-1j 2+2j; 2-1j -2+1j -1+2j] -2 1-j 1+j [ -1j 2-1j -1 ; 1+1j 2-1j -1+1j; 1+1j 2-1j 2j] 1+2j 2-j -1-j [-2-2j 2+2j -1+1j; -2j -2+2j -2j; 1 -2-1j 1-2j] -2+j -2j -1-j [-1-2j -1-2j -1-2j; -2 2j -2 ; 2j 1j -2 ] -4 1+2j -2j [ 1 -2+2j -2+2j; 1+1j -2+1j -1-1j; -1-1j 1+1j -2j] 2-2j -1+2j -2-j [ 1j 1-1j 1+1j; 1j 2j -2-2j; 1 2+2j 2j] -2+3j 2j 2 [ 1+1j 2-2j 1+2j; 1+1j 2 1j; 2+1j -1 1+2j] 3+j 2+2j -1 [-1+1j -1j 2+1j; 2-1j -1-1j -1j; -1+2j 1+2j -1+1j] -1-2j -1+2j -1+j [ 1+2j 2+2j -1-1j; -2+1j 2+1j 2+1j; 1-1j 2j -2+1j] 1+4j -j j [ 2-2j 1+1j 2j; -1+1j -2j -1-2j; -1 1j 2-2j] 3-3j 1-2j -j [ 2+1j 2 -2+2j; -1-1j -1-1j 1-1j; 2+2j 1+1j 1 ] 1+3j 1-2j -j [ 1-2j 1-1j 1+2j; 2-1j 2-2j -1-2j; 2-2j 1-1j -1+1j] 3-3j -2 1 [-2+2j 2j 2j; -2 -1+2j -2+1j; 2 -1j 1 ] -2+2j 1+j -1+j [ 1+1j -1+2j 2j; -1j 2+2j 1 ; -1 -2-1j -1 ] 2+2j -1+j 1 [-1+2j 1-2j -2-2j; 1+1j -1-1j -2-2j; 1 2j 1j] -2+2j -2+j 2-j [ 1 2+1j -1-1j; 1j 1j 1 ; -1-1j 2-2j -1+2j] -1+j 1+j j [ 2 -1+1j 2-1j; -2 1-1j 1j; 2-1j 2-1j 2+2j] 3-j 3+j -1+j [ 1j 1-2j 1 ; -2j -2-1j 1-1j; -2+2j 1-1j 2-2j] -1+2j 1-2j -2j [ 1-2j 2-1j -2 ; -2+2j -2-2j -2 ; 2 1+2j 2 ] -1-4j 1-j 1+j [ 2j -1+1j 1 ; 2-1j 2+2j -1+1j; 2-1j -2 2j] 2+3j -2+2j 2+j [ 2 1+1j 2 ; 1j 2+1j -1-1j; -2+1j -1+1j 1 ] 3+2j 1-2j 1+j [-2 2+2j -2 ; -1+2j 1 -2 ; -2-1j 1-1j -1-2j] -2-2j 1+2j -1-2j [ -1j 2+1j -1+1j; 1-2j -1+2j -2-2j; 1j 2+1j -1j] -3+3j 1-2j 1-j [-2 -1-1j 2j; -2-1j -1 2j; -1 2+2j 1-2j] -1-2j -1-j j [ 1-2j -2-2j 2j; 2j -2-2j -1+1j; -2-2j -1+1j -2+2j] 3-3j -3+2j -3-j [ -1j 2-2j -1j; 2j 1 2+1j; -2 -1-1j 1+1j] 2+2j -2-j 2-j [ 2-1j -1+2j 1j; 2 2+1j -2-1j; -2j 1-1j 2j] 2+3j 1-j 1 [ 2 -2+1j 2+1j; 1j 1-1j 2+2j; -1-1j -2+2j 2+2j] 1+4j 2-3j 2 [ 2j 2-1j -1-2j; -1 -1+1j 1 ; 1j -2+1j -2 ] 3j -2 -1 [ 1+1j 1 -2+1j; -1 1+1j -1 ; -2-2j -1 1-2j] 3 -1-j 1+j
No component greater than 3 in absolute value
[-1-3j 1-2j 1+1j; 1-2j 3-1j -3-3j; -1+1j -1-1j -3+1j] 1-2j -1-j -1 [ 3j -1+3j 3-1j; -2 2 -1j; 2+3j -2-1j -1-1j] 4+j -2-j -1+2j [-1+2j 2-2j 1+3j; 1j -2 3+3j; -1 2-2j -3+3j] -6+2j 2j j [ 2-3j -1+1j 1+3j; -1-1j 1j -1+1j; -1+1j -1-1j -2-3j] 1-4j -2-j 1 [ 2+2j 1+1j 2-2j; -3-1j -2 -2+2j; -3-3j -3-3j -1j] 1+j -1+j -j [ 2j 2+1j -1+1j; -2+1j 2+2j 1+1j; -2j -2 -3+1j] 1+4j -3+j 1 [-3-1j 2+2j 2 ; -1j -3+2j 2 ; 1+1j -2-1j -1-1j] -4+2j -2-2j -1 [ 1+1j 1-3j -3-1j; -2+2j -3j 3+3j; 2j -3 3-3j] 3-6j 3+j -2 [ -2j -2+1j -1-2j; -3-3j 3j -1-3j; 1 2-1j -2-2j] -1-4j -3+2j 2+j [-2+2j 3+2j 1j; 2-1j -3-1j -1j; -3-1j 2 -3-1j] -6+j -2-2j j [ 2+1j -2-2j 2-3j; -3-2j 2-1j -2+3j; 1+2j 3+1j -3-2j] 5+3j -3-2j -1-3j [ 2-2j -2-3j -1-3j; 3-3j -3-2j 2-2j; 1-1j -1+1j 3 ] -5j 1+j 1 [ 3-1j 2+2j -1+1j; -3-2j 3 1+1j; 1-1j -1-1j 3+2j] 5-3j 3+2j 1+2j [ 1+3j -1-1j 1-3j; -3+3j -3-2j -1-1j; 1 -3-1j 1j] -5-2j 4j 3 [-2 2 2j; -3-2j -3j 2+3j; 2-3j 3-3j 2j] -3-j 3 -2 [ 1-1j 3+2j 2+3j; -3+2j 2j -1+3j; -2+2j 1-1j 2j] 1+6j 1-4j -1+j [-3-1j 3+3j -3-3j; -1+1j -1+1j -3+3j; 1+1j -1-1j 1+3j] -2 2j -1+j [-1+2j 1-3j -2-2j; -1+1j 1-1j -2j; 3+3j 1+1j -2j] 3-3j -2+2j -1 [-1+3j -2 -3 ; 1-1j 2j -3j; 2+1j -1+2j -2+3j] 4j -2+3j -1+j [-3-2j 3+1j -1-1j; -3-3j 3+2j 2-2j; 2 -1 -1+1j] -1+3j -1-2j 1 [ 2 -1 2-2j; -1 3-1j 3+3j; 1 1+3j 1-1j] 4+2j -3j 2-j [-3-1j 3-1j 2+2j; -2+1j -3-3j -2-1j; 1-2j 2-2j 1j] -3-5j -4 1+2j [ 2+3j -2j -1-1j; 3-1j 3 3 ; -1-1j -2 1-1j] 1+4j 2-3j 3+j [-1-2j -1-3j 1-3j; -1j 1-3j -1-3j; 1j -1-1j -3+3j] -4j -2+2j -1 [ 1+1j 2+3j 1-2j; 2+1j 2+3j -1+2j; -3j -1+1j 3+1j] 4+4j 3j 2-2j [-2+2j 1-1j -2-2j; 1-1j -2+3j 1 ; -2j 3+1j -2 ] -1+4j -3+j -2 [ -1j 1-3j 2j; -3+1j -1-3j -2-1j; -2+1j -3+3j -2 ] -3-4j 3-j -3+j [ -2j -2+3j 2j; 2-2j -1 2-2j; 2+2j 2j 2-2j] 4+2j -4j -3-2j [ 2+1j -2-2j -2+2j; 1+1j -1j 1-1j; 1+2j 2-2j -2 ] 2-3j -2+j 2j [-3+3j -3-3j -3+1j; -2+1j -3+2j 1-2j; -2+1j -2+1j 1j] -6+2j -2+2j 2+2j [ 3-1j -2+1j 1 ; 3-1j 2j -1j; 2-1j 1-3j -2+1j] 3j 2-j -1 [ 1-2j 1j 1 ; -1-3j 1j -1+3j; -3+1j 3-1j 2-1j] 3+2j 1-2j -1-2j [ 2-3j 1-3j -1-1j; -2+2j -1-2j -3-3j; 2 3 2-2j] 2-5j 1-j -j [-2+1j -1j 2+2j; -2-1j -2-2j -1 ; -3+1j -2-1j -1 ] -2+3j -2-3j -1-j [ 1-2j -1j -2-2j; 3j 1 3+2j; -2+2j -2+2j -3+3j] -3+3j 2 -2j [-1-3j 1-2j 3+2j; 3j -3 -2 ; -2-1j -3j 1-1j] -3-j -1-2j 1-j [ 1-2j 3-3j -3+3j; -1-3j -3-3j 2 ; -1j -2j -1-1j] -4j -1-3j -2+j [ 3-3j 1+1j 2-3j; -1-2j -1+3j 2-3j; -1+2j 3-1j -2 ] -4+3j 3-2j 1-j [-3-1j 1+3j -2+1j; 1+2j 2-3j 1+2j; 2j 2 -2+1j] -2+j -1-2j -2j [ 2-1j -3 2+1j; 1-1j 3+2j 3-1j; 1-3j -1-2j 3+3j] 4+2j 1+4j 3-2j [ 2+3j 1-2j -3j; 1j 1+2j -3 ; 3+3j -1 1-1j] 3+3j 4-j -3+2j [-3+2j 1 -2 ; -3j -1-2j -1j; -3j -3 3+1j] 3+2j -3+j -1-2j [ 1 -2j -2+3j; -2-3j -1-1j 2-3j; -2+3j -2+3j 2-3j] 2-3j -1-3j 1+2j [-3+1j -3 -3-2j; 1 -1j -1-3j; 2-1j 1 -1-3j] -1-5j -3+3j -j [-2+2j 3-3j -3j; -3 -1-1j -2-2j; 3-3j 3-3j -1-2j] -1-7j -1+4j -2+2j [ 3j -2-1j 2+1j; -2-1j -2-3j -1-3j; -1-1j -3-3j -3j] -3-6j 2j 1+j [-3-2j 3-1j 1-3j; 2+1j -1+2j 3+1j; -2 -3j -3-3j] -5-2j -1-2j -1+j [ 2-1j 3+1j 1+1j; 3-1j 1+2j -1+1j; -2+3j -2+1j 1-1j] 3 2-j -1+j [ -1j -2 2 ; 1 3 3+2j; 1-2j -2-2j 1+1j] 4-3j -1+2j 1+j [-3+1j -1+2j 3-1j; 3+3j 1-2j 3+1j; -2+2j 1+3j 1-3j] -2-6j 2+j -1+j [ 1j -2-1j 3j; -2+2j 1-2j 2j; -1-1j -1+2j 2+2j] 3-j -1+2j 1 [-3+1j -3j -1-1j; 1-3j 2-1j 2j; -3+3j 2+1j -1j] -4+j 1-4j 2+2j [-1 3-1j 3+1j; 3-3j 2+3j 2-2j; -1+2j -2-1j -1+1j] 3j 2j -j [ 3-1j 2+2j -2-1j; -2+1j -3+2j 2-1j; -2j -1+3j 1 ] 2+2j 1-2j -2+j [-3 -2+1j -1+1j; 3-1j 2-2j -3+3j; -1+2j -1+2j 1j] -2+3j 2-3j -1-j [ 2+1j -1j 3-2j; 3+2j -3-3j -3-2j; 3+1j 3-2j 2-2j] -2-5j 5-j -2+2j [-2+2j -1 1j; 3+1j -2-3j 3-1j; 3-1j 1-2j -3+2j] -5+2j -1-4j -1+3j [-2-2j -3+1j 2 ; 2j -3+1j 3+3j; 2j 1-1j -1j] -4+2j -3-3j 2-j [ 1+1j -1-1j -3+3j; 1 -2+2j 1j; -2-1j -3+1j -2+1j] -3+3j -3+j 3 [-3-2j -1+3j 1-1j; -2-1j -1+1j -1-1j; 3+1j 1+3j -1+2j] -4 -3+2j 2-j [ 3-1j -1+1j -1-2j; 1-3j 2+2j -1-1j; -3 2 1-3j] 4+2j -3j 2-j [-1-1j 1 2-3j; -2+1j -2+2j 1+2j; -1+2j -3j -2-2j] -4-3j -3+2j 2 [-2+2j -1-3j 3+1j; -2-3j 2-1j -1 ; 1j 3-1j -1+1j] 1+5j -3-j 1-2j [ -3j -2 3+3j; 2-2j 1+1j -3+3j; -2j 2 2+2j] 2+4j -1-3j 2-j [-2+2j 1 -2+3j; -2j -3-2j -1-1j; -2 -2+3j 2+2j] -4+2j 3+j -2-j [-2 -2 -2-1j; -2 -2 1+1j; 2-3j 1-3j -2-2j] -3-2j -2 -1 [ 3+1j -2j -3-1j; 2 2+2j 2-1j; -2j -2-3j -2+2j] -1+4j 3+2j 1-j [-3-2j 1+3j -1-1j; -3-1j 2-1j 3-3j; -1 2-1j 1+1j] 4-3j -3 -1+j [ 2-1j 1j -3-3j; -2+2j -1-3j 3-1j; 3+1j -1+3j -3-3j] -1-5j -2-j 1-j [-1-1j -2+1j -2-2j; 2-1j -1+2j -2-1j; 1+1j -3+2j 2 ] 4 -2+3j -2-2j [ -3j -3-2j -3+2j; 3-2j -2-2j -1-3j; 2+3j 2j -1-3j] 1-8j -4-2j 2j [-2+1j 3j -3 ; 3+1j -2-2j 1+3j; -3-1j 1+2j -2-3j] -5-5j j -1 [ 2+3j 1-3j -3-1j; 3-1j -3-1j -2+1j; 3+1j -3-3j 1-2j] 2-2j -2+j j [-1-2j -2-3j -1-2j; -3+3j -3-3j -3-1j; -1 1-1j -2-1j] -6-4j 2-2j -2 [-1-2j -2+3j 3-3j; -3+3j -2j -2j; 2j -3 2-2j] 3-3j -2-2j -j [ 1j 3-3j 1j; -3j 1 3j; -1+1j 3 1+1j] 1-3j 1+3j 2j [-3-2j 2+2j -3+3j; 2+1j -1+3j -2 ; 1+2j 3+2j -1+2j] -1+6j -2-2j -2-j [ 2+2j -2j 1+3j; -1+2j 3-2j 1+3j; -3+1j 2+3j 1j] 1+4j 1-3j 3 [ 3+1j 1j 1-2j; -1-2j 3+2j -3-1j; 2-1j -3j 1+1j] 4+3j 2 1+j [ 3+2j -1+3j -2 ; 2 -3+1j 2-2j; -2 -1j 2+2j] 4+2j 1+3j -3 [ 2+1j -3-3j 3-3j; -2j 2+3j 1+2j; -1+1j -2-2j 2+2j] 5+4j 4j 1-2j [ 2+3j 1+3j 2+1j; -1-3j -3-1j -3 ; -2-2j 2 1+1j] -2+j 2 2j [ 2-3j 2+2j 1+3j; -3 3-1j 3-3j; 1+3j 2j -3-3j] -2-5j 3-j 1-j [ 2-3j -2j 1j; 2j 2 -2 ; 2j 2+1j -3-3j] -2-3j 2-2j 1-j [ -2j -1+1j 1+2j; 2-3j 3j -3-1j; -2j 2+2j -1-2j] -1+3j -1-2j 1-2j [ 2 -2+2j 1+3j; 1+2j -2-3j 1+3j; -2 -2j -2-3j] -3j -2-j -2j [-1-1j -2+3j -1+3j; -3 2-2j 2-2j; 3+3j -2 -3-1j] -1-4j -2+j 1-j [ 3+3j 3j 1+1j; -3 1 -1 ; -3+1j -3j 1+3j] 1+4j 1+3j 3-j [-3+1j 1-3j -2-2j; -3+3j 3-3j 2+2j; 1+2j -2-1j 2-2j] 4-4j -4 2 [-1+2j 2-2j 1 ; 1-2j 2-1j -2-1j; 2 1+2j -1-1j] 3-3j -2+2j -1+j [ 3+2j -2-1j 2-1j; -2+3j -2+1j 2-2j; 2j 3+3j 2-1j] 5+2j -5+j 3-j [ 3 -1-1j 2j; -2 1+3j 1+3j; -2+1j -1+3j 1j] 5j 3+j 1-2j [ 1-1j -3-2j -2-2j; -1-2j 3-1j 2+2j; -2-3j 1-2j 1+3j] 5+3j -3j j [-3+2j -3-2j 1-1j; -1j 3+1j 1+2j; -1-3j -3j 1 ] -3+2j 3 1+j [-2-2j -1-3j 1+1j; 1 1+1j 1-1j; 2-1j -2+2j -2+2j] -4 1+3j -2j [ 2+2j 2-3j -3+3j; 2+2j 1-2j 2-1j; 3-1j -1-3j -3+2j] 1+j j -1 [-2-3j 2+2j -3-1j; 3j 3-3j 3 ; 1+3j 2-2j -1j] 3-3j 1-4j -3 [ 2+1j 2-2j -2-2j; 2+3j 1-1j -2j; 3-2j -3+1j 2j] 2+2j 2+j -1-j
No component greater than 4 in absolute value
[-3-2j 1j 1j; -1-1j -3-3j -4j; -4-2j 2+2j 1+1j] -5-j 2-2j -2-j [ 1+3j -3 -3-4j; 1-1j -3+2j -3 ; -3 1 -1+4j] 3+6j -4+2j -2+j [ 3+2j -3+4j 2j; -4-2j 3+3j 2-4j; -1-2j -2j 3+1j] 8 4j 1+2j [ 3+3j -3+1j 2+2j; 1-3j 4-2j 2-4j; -3+2j 3+4j -2+4j] 6 -1+3j 2j [ 2+1j -4j -2+4j; -2-4j -1+1j 1-2j; -2-4j 2 -3-2j] -4-j 3+2j -1-j [ 2-4j -1+2j 1+1j; -1-3j -3j 1+3j; 4-3j 2+3j -1 ] -3-4j 3-3j 1 [ 3+3j 3+4j 3-1j; -1-3j 4+1j 3-1j; 3-2j -2-3j -3-4j] 7 -2+4j -1-4j [-3-1j -4j -2-2j; 2+3j -1+1j -3-1j; -1j -4+2j -3+3j] -7+3j 3+j -3-j [-1+1j 3-4j 2+3j; -1-1j 1+4j -1+1j; 4+3j -4+1j -3-1j] 2+5j -4-3j -1+2j [ 3-2j 2+4j 2j; 1+2j -4-1j 2j; 1+2j -1+2j -3-1j] -3-3j -j -1 [ 3+4j -1 4+3j; 1+1j 2+4j 2+4j; 3-1j -4+2j -2j] 2+6j 2 1 [ 3j 2j -3-3j; 1+3j -2+4j -2 ; 3j -2+2j -4-2j] -4+2j -1+3j -1 [ 1-3j -1+4j -1+4j; 2+4j -1+3j -3-2j; -2-4j -1-1j 1+4j] 2+5j 1-3j -2+2j [-3+2j -4+4j -1-4j; -2-2j 4-1j -4-4j; -2-2j 1-2j -1-3j] 3+j -2-j -1-2j [ -1j 2j -3+4j; -3+2j 1-2j 2+1j; -4-2j 2-4j -1+1j] 5-4j -6+j 1+j [ 1 -1-3j 1-3j; -4-4j -3+2j -3+2j; 4-4j 2-4j 1 ] 1+4j -2-3j j [ 3+3j 2+3j 4j; 1+3j -3+4j 1+1j; -2-4j 1-3j 4-1j] 7 -1+4j -2+2j [ 4+3j 4+2j 3+4j; 3j 1-1j 1-3j; 4 -4-4j 1+3j] 7+5j -2-5j 1+5j [-4-4j 3-4j 2-1j; -1-2j -1+2j -2j; -1 4+3j -3-3j] -4-5j -3+3j -1-3j [-2+2j -1-1j 2+2j; 3-1j -1+2j -4j; -3-3j -4-1j 3+3j] 2+4j -1+3j -1 [ 3-2j 3+3j 1+3j; 4j 3+2j -3+1j; 2+4j 3j -4-2j] 3+5j -3-4j 2-3j [-4+1j -3j -1-2j; 2-4j 4+3j 2-2j; -2+1j 1j 1-2j] 3+j -2-j 2j [-3-4j -2 3+1j; 3+3j -3j -3j; 4+1j 1-3j -1-2j] -2-5j -3j -2-j [-3+1j 3+3j -2-2j; -1 -2j 1+1j; 2+3j 3 -4-4j] -5+j -2-4j -2j [ 4 3+4j -4-1j; 4+2j -4+4j -1-2j; 1-2j 1+3j -1-4j] 4+3j -1-4j -4+j [ 4-1j 1+4j -4+1j; -3+2j 1-4j -2j; -4-1j 4+4j -1 ] 5-2j 3-4j -4+j [ 3-2j -1+3j 3-4j; -1+2j 3+3j 4-4j; -3+3j 3-3j 4+3j] 7+j 1+6j 2-3j [ 4-2j 2j -4-3j; 4+2j 2j 3-4j; 1+4j -1j -4-4j] 3-5j -5-j 2+2j [ 3+2j 1j 1 ; -4+1j 1-2j -3+3j; 1+4j 4-1j 3-3j] -6j 4+j 3+2j [-1+3j 1-2j 3+3j; -1j -2+4j -3-3j; 1+2j -3+4j -4j] -2+2j -1+2j -j [ 1j -3+1j 2+1j; 4-1j 2+2j -2+2j; 3-4j -2-1j 4j] 2+5j -3+2j 3 [ 2 2j 2-4j; 2+3j -1-4j -4-2j; 1+1j 3j 4-4j] 5-4j 1-3j -1-j [-3 4-2j 2+4j; 1+2j -1-3j -3-2j; -1-2j -3j 2-4j] -1-6j -5 4-j [-2+1j 2+1j -2+1j; -1+2j 1 -2+1j; 1+4j 1j 1+2j] -1+5j 2-j -1-j [ 3-1j 2-1j 3-4j; 1-3j 2-1j 1-1j; -4+4j -3+1j -3+2j] 4+2j -3-2j 1 [ -3j 1+2j -2j; -1-3j -2j -1+1j; -2+2j -4+1j 4+3j] 4+j -2-2j 2-j [-1-1j 3-2j -4 ; 2+1j -4j 4-1j; -2+1j 2-1j 3-2j] 5-3j -5-j 2-3j [ 1+2j -1+1j 2 ; 4j 4-3j 2j; 2+2j 4-4j -3-2j] 5-2j -4-3j 1+2j [-3+2j -2+3j 2-2j; -4-2j -4+2j 3-1j; 2+1j -2+3j -3-1j] -6+j -5+j 1+j [-1-1j -2+4j -2+3j; 1-1j 4+2j -4+1j; 4-1j -4-2j -3+1j] -6-3j 6+2j 3j [ 4-4j 2+4j 4-2j; -3-2j 1+2j -2+2j; -3+2j -4-4j -4+2j] -5+3j 3-2j 3-j [ 1-4j 2+3j -4+1j; -4-2j 2-2j 1 ; -2+4j 4+2j 1+4j] 4-6j -3+4j 3 [ 1-2j 2+2j -1+1j; -4+4j -2-1j -4j; 2+2j -2-1j 1+2j] -1-6j 1+4j j [ 4+1j -2+3j -2-3j; -1-4j -3-2j -1+2j; 3-4j -1-4j 2+1j] 4+4j -5-2j 4-2j [ 2+3j -4j -4j; 2+1j -2-2j 4-3j; -3+4j 3-1j -3 ] -6+j 5+j -2-j [ 2+4j -3-1j -3-1j; 3+4j -3+2j -4-4j; -4-1j 1+4j -1-1j] 5-j -3+4j -4+2j [-2-1j -4+2j 1-3j; 1+1j -2+2j 4+2j; 4+4j 4+4j -2-3j] -8-3j 4j 2-3j [ -2j 3 -1+2j; -2+3j 2-1j 4+2j; -3-2j 3+2j 4 ] 5+j -3-4j 4 [ 1-4j 2j 2+2j; 3+4j 4-2j -2-2j; -2+3j 2 -1j] 1-8j 4 j [ -4j -4-4j -4-2j; 1-4j 3+3j 4+2j; -3-3j -2+2j -2+1j] 4+7j -2-6j -1-j [ 2+3j -4-1j -4-2j; 2+2j -3 -2+2j; -2+2j -2-4j -1-4j] -5 2+j 1-2j [-2+3j 2j -1j; 3 4+3j -2-2j; -2+1j -4+4j 2-3j] 6+2j -2+2j -j [-4+4j 1-2j 2j; -2+4j -3-2j 2+4j; -2+4j -4+2j 3 ] -2+4j 1-4j -3+2j [ 3-4j 4 -1-3j; 1-4j -3j -2-1j; 2-2j -4 2-2j] 5-6j 2-2j -2-j [-4-4j 1-1j -1-1j; -2-4j -2-1j -3+3j; -4+2j 2-2j -1 ] -4-4j -4-3j 1+2j [-3-1j 4-1j -2j; -3j 1-4j -2-1j; -3j -2-2j 1-3j] -7j -4+j 3-2j [-1+4j 1-4j -4-2j; -1 4+3j -2+1j; -2-1j 4+1j 2-2j] 4+5j 1-2j 2j [ 2-4j 1+4j 2+3j; -4j 4-1j 3-3j; 2+2j -1j -2-4j] 7-2j -2-6j -1-j [-2-3j -3-3j 4j; 3+4j -1-4j 1-4j; 4j -2-1j 3-4j] 2-8j -3j -2 [ 1+3j 3-1j -4+3j; 2+2j -3-2j -4j; -1+1j -1-1j 1-4j] -1-4j 2+j -2 [-3-2j -4j -2+4j; 2+2j -1-2j -1-4j; -2-3j 1-1j -4+4j] -7+3j 1-2j -2-j [ 3+2j -2-4j 1-3j; -1+4j 3-3j 3+2j; -4 -4 -4-4j] 5+j -1-4j -2-2j [-2+2j 4-1j -1-3j; 1+1j 2+4j -1+2j; -1-3j -1+1j 4-1j] 2+3j 2j 2 [-3 -1-1j -1-2j; -4+2j -2+3j -2+1j; 2-2j -4 -3+4j] -5+2j -3+4j j [-3+1j 1-1j -1-1j; -2+1j 3j 2-2j; 2j -4-2j -4+3j] -1+6j -4+j -2 [ 4 3-2j -4+1j; -2+4j -3+2j 2 ; 2 1-4j -2+4j] -4+2j 1+4j 2 [-3-4j -4+3j -2j; 1j -3-1j -3+4j; -1+1j 2+1j 1j] -3-6j -3 2j [ 2 3-1j 2+3j; 2j -3+3j -3+1j; 4+4j -3-4j 1j] 5+5j -5 -1-j [ 1+4j 3+4j 3+4j; 2j 3j -1 ; -4j 3-2j 4+1j] 5+j -1+4j 1+3j [ 1 1 -2+3j; 3-2j -1-2j 2-1j; 1-2j -1-4j 4+2j] 5+j -1-3j 2j [ 3-3j 2+1j -3j; -3+2j 4+3j 2 ; 4j 4-1j 1 ] 6+2j 3-3j -1+j [-3+2j 4+3j -1-4j; 4+1j -3 -3+2j; -4-1j -3+4j -3+2j] -6+4j -6-3j 3+3j [-1 3-1j -1-2j; 4+2j 3j 1+2j; 1+4j -3 -1+4j] -5+4j 3+2j j [ 4+1j -4+3j -4 ; 1-2j 1-2j -4-2j; 3-3j 2+1j -2-3j] -2-6j 4+3j 1-j [ 2-3j -2-4j 2+3j; -1+3j 1+2j -3+4j; -3-1j -3+1j -4-4j] 4-4j -5 -j [ 1j 3 -1+3j; -2-4j -2-4j -2 ; -2 3j -3-2j] -6j -5+2j -j [-2-4j -2+1j 3-4j; -3j 3+2j -3-1j; 1-3j -1+2j 2-4j] 2-5j -1-2j 2+j [-1 2j -1-4j; 3+3j -1-2j 1 ; 1+1j 1-3j -3+3j] -2+3j -3+j -3j [-1-1j 3+3j 3+1j; 2+3j 1-4j 2+4j; 1+4j 3+2j 1-3j] -3-6j 5+3j -1-5j [-4-3j -4-4j 4+2j; -2+1j 3+2j -3+1j; 1+3j 1j 2-2j] -5-4j 5+2j 1-j [-3+2j 4+2j 3-4j; -2j -1-2j -1+2j; 1-3j 2-4j 4-4j] -5+3j 3-4j 2-3j [-1-2j 1+3j -1+2j; 2-2j 4-2j 3-1j; 2+4j 4j -1+1j] 5+j -1-4j -2 [-4 3-3j -4+4j; -1j -1+2j 1+1j; -2-2j -4-1j -4 ] -8 -2+4j 1-2j [-4-3j -1-1j -3 ; -4-4j -1+2j -2-2j; -2-2j 4-4j 1-4j] -5-6j -1+4j 2-3j [ 1-3j 4+3j 2-2j; -4+1j -4+3j 3-4j; 3 -3+4j 3+2j] 3j -1-j 1 [ 4-2j 3+2j -1-1j; 2+2j 1+4j -1+2j; -2+2j -2+3j -4+1j] 4 -2+2j -1+j [ 1+1j 3-3j 2-1j; 4-3j 4j 2-1j; -1+2j 1-1j 2j] -3+6j 4 j [ -2j -3 -2 ; 2+4j -3j -2-4j; -2-4j -1+1j 3+2j] 4+j -4j -1 [-1-4j -2-2j -3j; 1 -3-3j 2-2j; -1-1j 4 2+4j] -1-5j 2+3j -3-j [-2 1+3j 4-4j; -4+3j -3-2j -4-2j; -1-3j -3 2+4j] 6j -3-j -3j [-3+2j 3-1j 4 ; -3-3j -1+1j 2+4j; 2j 1-1j -4j] -2+4j -1-3j -1-2j [ 2j 4-3j 2-3j; 3+1j 2 4-2j; -1j 1+3j -1+1j] 6+j -3 -2+2j [ 3-1j -3-4j 2+4j; -1-1j -3j 4 ; 2+4j 2+4j -3-4j] -6-8j 3+2j 3-2j [ -4j 4-3j 3-1j; 2+2j 3 4-2j; 1-2j 1-2j -3-2j] 5-3j -4-j -1-2j [ 3+3j -2+1j 1-3j; -1 4 -2+4j; 3+1j 4j -3-3j] 2+j 1-2j 1+j [ -1j 4-2j 3-3j; 3+3j 3+1j 4-4j; 3+3j -3 2-3j] 6+j -4-3j 3-j [ 1-2j -4+2j 3-4j; -1+4j -4j 1 ; -1-2j -3-4j 4+4j] 4-6j 2+6j -1-2j
No component greater than 5 in absolute value
[-1-3j -5+1j -4-4j; -1+2j -1+4j -3-5j; -2+5j 1+3j 2 ] -7+3j 6-3j 1+j [ 3j 3+2j -1+2j; 5+5j -2 3-3j; 2j -2j -1-5j] -1-7j 3+5j -5 [-3+3j -3 2 ; 3-1j -3 4-3j; 1-2j -1+4j -5-5j] -7-6j -2+3j -2+j [ 3-2j 5-5j -2-4j; 5-5j -3-3j -2-2j; -2+5j 5j -2+2j] 8-6j -5+2j -5+j [-1+5j 4j 4j; 1+1j -5+5j -3+3j; 1-5j 1-3j -4+3j] -9+3j 2+7j -3+3j [-1-2j 4-2j -5-5j; -2+4j 1-4j -5+5j; -2+4j -1-2j -3+3j] -8-j 3 2-2j [-2+1j 1-2j -5-2j; 2-5j -1-2j -3-2j; -5 -5 1-5j] -6-6j 7-3j -3+3j [-4-5j -3j -3j; -2+5j -3+1j -5 ; 1+2j -1+1j 1+2j] -7-2j 2+j -1-j [ 3+4j 4+1j 1j; 2 1+3j -1j; 1-5j 1-1j -1-2j] 5+4j -1+2j -1-j [-5+4j -3-3j -2-2j; -4j -3+1j 4+1j; 5+5j -3+3j -2+1j] -4+9j -6-2j -j [ 5-1j -5+2j -3-1j; 1-4j 2-2j -4-1j; 1-2j 5-2j 2+1j] -7j 5+3j 4+2j [-3+4j -3-1j -1+5j; -2j 2+2j -1-2j; 2+4j 2+3j 5+3j] 1+6j 3+2j j [ 3j 5+1j 5+1j; 3+1j 3j -5-3j; -3-5j -3-5j 2+1j] 5+6j -4+3j 1-2j [-5 -1-1j -3-3j; 3-1j -1+3j 3j; 3+5j -1+1j -3 ] -7+4j -3j -2+2j [ 1+1j 2+4j -1-3j; 2+2j -5+5j 2+4j; 5-3j 1-3j -3+5j] -8+6j 1+7j -2j [-5-1j -5-1j -3j; -5+1j 5-1j -1+3j; 3+1j -5-5j 4+1j] 11-2j -7-j 2j [ 2+2j -3-1j 5-5j; -4-3j -2+3j 1+4j; -2j -4-4j -3-1j] -7+5j 5+3j -1-4j [-1+5j 1+5j 2+2j; 2-5j -2-5j -3+1j; -1 -1+1j -2+1j] -4+j -2-2j 1+2j [ 1j -2+5j -4-1j; -2 5+5j 1+5j; -4-1j -1+4j 5+2j] 5+3j 4+4j 1+j [ 2+2j 2-3j 5-2j; 1-2j -1+4j -4+3j; 2+1j -5-4j -5j] -5+j 3-j 3+j [ 4 5+1j -1-5j; -4-2j 3j -4-2j; -5j -5-1j 5 ] 5+5j 4-5j 3j [ 2 -3-2j -2 ; -1-4j 2j -2 ; -3-3j 4+5j 3-3j] 3-4j 3+4j -1-j [ 4+2j -1+3j 1-2j; -2 3+3j -5 ; -2+4j 3+2j -5-1j] 6+2j -1+4j -3-2j [-1-5j 2-4j 4j; 2j 4+2j -4j; 1-1j 4+4j -3-1j] 6 -5-j -1-3j [ 3+3j 2+3j -1+3j; 4+2j 1+2j 1+5j; 4+1j -5+1j 2+4j] 3+7j 1+3j 2-j [-2+3j -4+4j 2-4j; 1+5j -3+2j -5+3j; 2-3j 4-4j 1-5j] -3+9j -3-6j 2-3j [ -4j 2-2j -1-3j; -2+5j -1+1j 4+3j; 1+4j -2j 4-1j] 7-2j -3-3j -1+j [-4-1j -2 -1-1j; 2-3j -1-5j 5-3j; 1-5j 5-3j 1+4j] -3+3j -3j -1-2j [-2+4j 1+3j -1-3j; -5j 5j 3+2j; 2+1j -1+2j -2+3j] -5+5j 4j 1+3j [ 5+5j -5-2j -2+5j; 5+5j 4-4j -2-2j; -4+2j -4-5j -3+2j] -2+8j 6-3j 2-2j [ 3-2j 5-5j 4-2j; 4+3j 1+1j 5+4j; -2-2j 4+4j -2+5j] 2+6j -6-j 6-j [ 4+3j 4-5j -1+3j; -4j -1-3j -2 ; 3+2j -1-4j 1+1j] 3+7j 2-4j -1-2j [-2-5j 3-4j 1-4j; -2+1j 3 -3j; 4+3j -3+4j -2+5j] 4+2j -4+j -1-3j [ 5+1j 3+4j -2+4j; -2 1-2j -2j; 3+3j 2+3j 3+5j] 3+7j 3-3j 3 [ 5-1j 3-3j -4j; -1-4j -5 2j; -5+2j 1+4j 2+4j] 4+5j -4 2-2j [-4-3j -4-1j -1+2j; -3+3j -1+5j 3+2j; -5-1j 1 5+1j] 6+j -5+2j -1 [ 5-4j -3+1j -1-3j; -3+1j -2j 4-2j; -4-4j -2+2j 5 ] 7+2j 3-4j -4j [-1+1j 3-1j 2+1j; 3-3j -3-4j -2j; 5-5j 2-4j -1-4j] 2-5j -5 -2-2j [-1 1+1j -1+3j; 4 -2-4j 5+5j; -1+3j 3-1j 2j] -5-3j 1+j 1 [ 3+3j -2-4j 4-1j; -3j -4+5j 1-2j; 5-5j -5-5j -5-1j] -5+3j -1+5j -j [-3-2j 4 2+5j; -1-5j -4-3j 2-1j; 1+5j 1+4j -5+2j] -4-7j -5+3j -3+j [ 3-2j -4+4j -1 ; 3 -1j -4+5j; -4j -4+4j -4-5j] 2-9j -6-j 3+2j [ 2+5j 2-1j 4-1j; 2-3j 3-2j -3-4j; -2+3j -1-1j 5+1j] 4+5j 4+2j 2-3j [-4+5j -2-2j 1-1j; 2j 4+5j -5 ; -1+5j 4+2j 3-3j] 4+7j -5+5j 4-5j [ 3-5j -5-3j 3-5j; 4-2j 4-2j 1+4j; 2+4j 1-5j 5 ] 9-j 3-5j -j [ 5+5j 4+3j -2+1j; 5+4j 4+4j 4+4j; 1j -1j -2-3j] 9+8j -2 -2j [-5-3j 1+3j -2j; -3-5j 4+2j 4-5j; 3 5j 1+3j] 8+3j -6 -2-j [-2+2j -2-3j 4+2j; 4+4j 3-4j -2 ; 4+5j -3+4j 5-2j] 6-6j 5+2j -5 [ 3-3j 1+3j 2-2j; 3-5j 2+1j 2-2j; 2+3j -1+1j -3+2j] 7 -4+j -1-j [ 4+4j -3+1j 3+4j; -1+2j -1j -1+2j; 5-5j 5-1j -1-1j] 7+3j -5-j 1 [ 5-4j 4+4j 3+2j; -4+4j -3-4j -3-2j; 1 1 4 ] 1-8j 4 1 [ 4+2j 2+2j 2-2j; 3+2j 4-5j 1+5j; -5-2j 1-5j -5+5j] 6-2j -3+3j j [-5 -1-4j 5+3j; 2j 5-1j 5+1j; 3+3j 5j 2-3j] 7+2j -6-4j 1-2j [-1+5j 4+3j 4-1j; -3 -1+5j 2+5j; -3j 5-3j -5+4j] -7+5j 1+6j -1+3j [ 3-1j 4-2j 2-1j; -5+3j 3+1j 1 ; 4-4j -4+2j -1+2j] 3+4j 1-3j 1+j [-1-3j 4+4j 4 ; -3-4j -1j 2-2j; 4-2j -1-4j 5-2j] 6-5j -5+2j 3-3j [ 4-2j 4-1j -4-2j; -1+3j -5-4j -4+2j; 2-2j 3-5j -4 ] -8-7j 1+3j 2-2j [ 5-4j -3+5j 3+3j; -2-2j 2+5j -1+1j; 2+2j -1-3j 2+1j] 5 3 1+2j [-5-5j -1-3j 3-3j; 2+1j -3-4j 3+3j; 3+4j 2+3j -5+3j] -6-3j -5-3j -2 [-3-3j 2+4j -2+5j; -2-4j -3-3j -5-2j; 4-1j -5+4j 3j] -1 -j 1-5j 3+3j [-2-1j -2-2j -5-1j; 5-4j 5j 4-1j; -4-5j 4-4j -5-3j] -5-4j 2+4j -4+j [ 4+4j -2+2j -2-5j; 4-4j -4+4j 3-2j; -4+5j -2-3j -2-1j] 7+5j -5+4j -4-2j [-3 1-3j 1+4j; 1-3j -1-2j 1+3j; 1-5j 1+3j -3-3j] -4-j -3-2j -2j [ 4j 1-5j 3+5j; -1+4j -2-4j 2j; -4-3j 2+3j -5-4j] -5-2j -1-3j -1+j [-3-5j -2j 5+1j; 1+1j 2-1j -1-1j; 1-2j 2-2j 1j] -2-3j 2-2j -1 [ -3j 1-2j 2+1j; -2+4j 5 5+1j; -3-2j -2+4j 3j] 4+5j -1-3j 2-2j [-5+3j 1+2j -5+3j; 5-4j -4+3j -1j; -1+3j 3j 3+5j] -9+3j 7j 3+j [-4-5j 2+5j -2-3j; -1+1j 2-3j 4+2j; -3j 3-3j -5 ] -5-7j -6+2j 4-3j [ 5-2j -3+3j 4+2j; -1+1j 3-5j -2 ; 1-1j -2j 2-1j] 6-3j 3-4j 1-j [ 4-3j 4-2j 4+2j; 2-2j 5+2j -4+4j; 2-3j 3-1j 2+4j] 6-2j 4+3j 1+2j [ 4-4j 1-1j 4-2j; -3-1j 4+2j 4 ; 3+1j -5-5j -5-3j] 5-3j -1-3j -1+j [ 3+1j -3+1j 1+3j; -3-1j 4+5j -2-4j; -2-2j -5-2j 1-4j] 7+5j -3j 1 [ 5-3j -4 3+3j; -4+3j 3-1j 5+4j; -1 5-1j -2-5j] 8-3j -6-4j 4-2j [-3+3j -5-4j 1+4j; 2-3j 1+3j 4 ; -5+1j -3+5j -2+3j] -4+7j 2+7j -2-5j [ 5+2j 1-5j -2-4j; -4j -4+1j -4+2j; 2-5j 2+4j 2-2j] 2-7j 6j 1+2j [ 2-2j 2-2j 2-2j; -2 -3-1j 1+5j; -4-5j 2 -2+2j] 6j -5-3j 2-4j [ -4j -2+2j -2-4j; -1j -1-3j 1-3j; -4-5j -4 5-2j] -3-8j 6+2j 1-3j [ 3+5j -1+1j -1+2j; 5-2j -3+3j -3+3j; -3+5j -1-1j -4+1j] 2+5j -4+2j -2+2j [-5+1j -1 -4-3j; 4j 5-3j 2-2j; -4j -4-1j -1-2j] 1-4j -3-j 1+j [-1-2j -1-1j 1-1j; 3j -4+4j -4+5j; 1+3j 2 2j] -3+3j 3j -2-2j [ 4-3j -5-3j -4-2j; -3-3j -4-4j -3+3j; 2-2j -2+4j -1j] -4-5j 2-4j 2+j [-2+1j 5-1j 2+2j; 1-1j -4+5j -2-2j; -2-1j 4+2j -3+4j] -7+8j -1+2j -1 [-5+2j -2-2j 4-5j; 1+1j -4+1j 2+5j; -3+2j -2-3j -4-4j] -5-2j -5+j -3 [ 2+2j 4+1j -1-5j; 1-3j -1-2j 1+5j; -2+2j -2+3j -1+5j] -1+6j 3-j -2 [ 1j -4j 2-2j; -5+1j -1-1j -4j; 4+1j 2 -1+5j] -3+3j 3+3j -2-j [-1+3j -1-2j -3 ; 3j -3+2j -3 ; -5-2j -5+3j 1-5j] -6+2j 4-2j -1 [-5+1j -2 -3 ; 4 1-5j -3-3j; -3+1j -4+2j -3 ] -6+j -4-2j 3-3j [ 2-1j 3-1j 3-1j; 5-2j 5+5j 5+1j; -1-5j 1 3+3j] 7-j 3+5j 3j [ 3-3j -1+2j 2j; -1-3j 1-2j 2j; 5+5j -2+1j 2-4j] 2-6j 4 -3j [ 1+1j -3 5+2j; -4+2j 3-4j -2-4j; -1+3j -4-5j -4+5j] -1+6j -2-4j 3 [ 1+1j -2-1j 5 ; -3+4j -2-4j -4+3j; -1 -1j -5-1j] -5-3j -3 2-j [-4+3j -2+4j -1+3j; 3-1j -5-4j -2+3j; 1-2j -4-2j -5+3j] -8-j -2+4j -4-j
Douglas Wilhelm Harder
Department of Electrical and Computer Engineering
University of Waterloo
200 University Avenue West
Waterloo, Ontario, Canada N2L 3G1
Department of Electrical and Computer Engineering
University of Waterloo
200 University Avenue West
Waterloo, Ontario, Canada N2L 3G1
Website maintained by Douglas Wilhelm Harder