Douglas Wilhelm Harder, M.Math., LEL

The matrices, eigenvalues and singular values.

 [   1j    -1j    -1j; -1+1j   1-1j   1-1j; -1-1j    -1j  -1   ] -j j 0           3 2 0
 [   1j    -1j   1   ;   -1j   1+1j  -1-1j; -1      1+1j   1+1j]  3j 2 0          3 2 0
 [ 1      1+1j   1   ; -1+1j    -1j   1+1j;  1      1+1j   1   ]  2+j -2j 0       3 2 0
 [   1j   1     -1+1j;    1j   1     -1+1j;  1+1j  -1-1j  -1   ]  1+j -1 0        3 2 0
 [-1+1j   1-1j   1+1j;   -1j     1j  -1   ;  1      1+1j   1   ] -1+2j 1 0        3 2 0
 [   1j   1-1j     1j; -1-1j  -1     -1-1j;    1j  -1+1j     1j]  2j -1 0         3 2 0
 [  -1j  -1-1j  -1-1j;  1+1j     1j    -1j; -1-1j    -1j     1j]  2j -j 0         3 2 0
 [-1      1-1j   1-1j; -1-1j  -1     -1   ;  1+1j  -1     -1   ] -2 -1 0          3 2 0
 [-1     -1+1j   1+1j;  1+1j     1j   1   ;  1-1j  -1        1j]  2j -1 0         3 2 0
 [ 1      1-1j  -1+1j; -1-1j  -1     -1   ; -1-1j  -1     -1   ] -2 1 0           3 2 0
 [ 1      1-1j   1-1j;    1j   1+1j  -1   ;  1      1-1j  -1   ]  2+j -1 0        3 2 0
 [   1j     1j   1   ;  1-1j   1      1-1j; -1+1j     1j   1-1j]  2+j -j 0        3 2 0
 [ 1-1j   1+1j   1   ;    1j    -1j  -1   ; -1+1j   1+1j    -1j] -3j 1 0          3 2 0
 [ 1      1+1j   1-1j;  1-1j    -1j  -1   ; -1+1j   1       -1j] -1-2j 2 0        3 2 0
 [  -1j     1j  -1   ;  1+1j   1     -1   ; -1-1j   1+1j  -1+1j]  j -j 0          3 2 0
 [   1j     1j  -1   ;   -1j  -1     -1+1j; -1-1j  -1-1j   1-1j]  2 -2 0          3 2 0
 [   1j     1j    -1j;   -1j   1      1-1j;  1+1j   1+1j  -1-1j] -2 2 0           3 2 0
 [  -1j     1j  -1+1j;  1-1j   1+1j   1-1j; -1       -1j  -1   ]  1 -1 0          3 2 0
 [-1        1j  -1-1j;  1       -1j  -1+1j;  1+1j   1-1j    -1j] -1-j -j 0        3 2 0
 [  -1j   1-1j  -1   ;  1     -1+1j   1   ; -1-1j  -1+1j   1   ]  1 -1 0          3 2 0
 [-1-1j   1+1j   1   ;  2     -2-2j   1   ;    1j  -1     -2-1j] -3-2j -2-2j 0    4 3 0
 [-2     -1+1j   1-1j;  1-2j     1j    -1j;  1-1j   2     -2   ] -3 -1+j 0        4 3 0
 [-2-2j  -1-2j     1j;  1      2+2j     1j;  2-1j     1j  -2   ] -3-2j 1+2j 0     5 3 0
 [  -2j  -1      1+1j;    1j    -1j   1-2j;  1+1j   1-2j   2   ]  1-3j 1 0        4 3 0
 [ 1+2j    -1j  -1   ;    2j   1-2j   1   ; -1-1j  -1      1-2j]  1-3j 2+j 0      4 3 0
 [ 1-2j     1j  -1-2j;   -2j     2j  -2-1j;    2j    -2j   2+1j]  2+j 1 0         6 1 0
 [-1-1j   2-1j   2   ;  2-2j   2-1j    -2j; -2+2j  -2+1j     2j]  1+j -j 0        6 3 0
 [ 2-2j  -2+1j  -2-2j;  1-2j     1j  -2-1j;    2j   1+2j   2   ]  4-2j j 0        6 3 0
 [ 1     -2-1j   2   ;    2j    -2j     2j; -2-1j   2+1j  -2-1j] -3j -1 0         6 1 0
 [-2-2j   1+2j   1+2j;  2+2j  -2-1j   1-2j; -2-2j   2+2j     1j] -4-j -j 0        7 2 0
 [ 1+2j  -2+2j   1-1j;    1j     1j     1j;   -1j  -1-1j    -2j]  3j 1-2j 0       4 3 0
 [-2-2j  -2+2j   2-1j;    2j   2     -2-1j;  1       -1j  -1   ] -1-j -j 0        6 1 0
 [-1        2j  -1+1j;  1      2-1j     1j; -1-2j  -1     -1+2j] -2+j 2 0         4 3 0
 [   2j     2j   1-1j; -1-1j  -1-1j  -2   ;  1      1      1+2j]  2j j 0          4 3 0
 [   2j  -1-1j  -2-2j; -2-2j   2-2j   2   ;  1+1j   1     -2-2j] -1-j 1-j 0       6 3 0
 [ 1+2j    -1j  -1-2j;    1j   1-2j     1j;    1j   1-2j     1j]  2 j 0           4 3 0
 [-2+1j  -1     -1   ;  1-1j  -2+1j  -2+1j; -2        1j     1j] -3+j -1+2j 0     4 3 0
 [-2-2j  -1-1j   2-2j;  2-1j  -2-1j   1+2j;   -2j     2j   2   ] -1-4j -1+j 0     6 3 0
 [-1     -1-2j   1-2j;    2j  -2+1j  -2   ;  2      1+2j     2j] -4+3j 1 0        6 1 0
 [-2        2j   1-1j; -2      2     -1-1j;  2-2j  -2-2j     2j] -2+2j 2 0        6 2 0