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Non-Hermitian 3 × 3 singular matrices

No component greater than 1 in absolute value

 [   1j   1+1j    -1j;   -1j  -1-1j     1j;   -1j  -1-1j     1j] -1+j 0 0
 [ 1       -1j  -1+1j;    1j   1-1j   1   ;   -1j  -1+1j  -1   ]  2 -1-j 0
 [ 1     -1-1j  -1-1j;  1        1j     1j;  1+1j   1      1   ]  2-j 2j 0
 [-1-1j  -1      1-1j; -1+1j     1j  -1-1j;  1-1j   1     -1+1j] -2+2j -j 0
 [   1j   1-1j   1-1j;  1+1j  -1+1j   1   ;    1j  -1+1j   1+1j]  2+2j -2+j 0
 [ 1      1-1j  -1   ; -1+1j   1     -1-1j;   -1j   1       -1j]  2+j  -2j 0
 [  -1j   1-1j  -1-1j;    1j  -1-1j   1+1j;  1     -1      1-1j]  1-2j -1-j 0
 [-1+1j  -1     -1-1j; -1-1j    -1j   1-1j; -1+1j   1+1j  -1   ] -3 1 0
 [ 1        1j   1+1j;    1j   1      1+1j; -1      1-1j    -1j]  1-j 1 0
 [  -1j     1j  -1   ; -1-1j  -1-1j  -1+1j;  1      1       -1j] -2j -1-j 0
 [ 1+1j   1+1j   1-1j; -1+1j  -1      1+1j;  1      1-1j    -1j]  1 -1 0
 [ 1-1j   1+1j  -1-1j; -1-1j  -1+1j   1+1j;    1j     1j   1-1j]  2-2j -1+j 0
 [-1       -1j     1j;   -1j  -1-1j   1+1j;  1      1-1j  -1+1j] -2-j -1+j 0
 [-1     -1        1j;   -1j   1+1j   1-1j; -1      1       -1j]  1 -1 0
 [ 1-1j   1-1j  -1-1j;  1-1j   1     -1-1j; -1-1j    -1j  -1+1j]  1-j j 0
 [ 1-1j   1     -1-1j;   -1j  -1     -1   ;  1+1j    -1j   1-1j]  2-2j -1 0
 [-1-1j  -1-1j   1-1j;   -1j    -1j   1   ;    1j  -1-1j  -1-1j] -1-2j -1-j 0
 [   1j   1+1j  -1+1j; -1-1j   1-1j   1+1j;  1-1j  -1+1j  -1-1j] -2j j 0
 [-1+1j   1+1j  -1-1j;    1j   1-1j   1   ; -1-1j  -1+1j   1-1j] -2j 1+j 0
 [ 1+1j   1-1j  -1+1j;  1+1j   1     -1+1j;  1+1j    -1j  -1+1j]  2+j -1+j 0
 [ 1+1j   1-1j  -1+1j; -1-1j  -1+1j   1+1j; -1        1j  -1+1j]  2j -1+j 0
 [-1+1j   1     -1-1j; -1+1j   1+1j   1-1j; -1+1j   1     -1-1j] -2 1+j 0
 [-1+1j  -1+1j     1j; -1-1j     1j   1-1j;  1-1j   1-1j    -1j] -2+j 1 0
 [-1-1j     1j  -1+1j; -1-1j     1j  -1+1j;  1-1j   1     -1-1j] -2-2j j 0
 [ 1-1j  -1        1j; -1     -1     -1+1j;    1j     1j   1+1j]  1-j j 0
 [  -1j  -1     -1   ;   -1j  -1-1j  -1   ; -1-1j     1j  -1+1j] -1-j -1 0
 [-1-1j  -1-1j   1-1j;  1-1j  -1      1   ; -1-1j  -1-1j   1-1j] -3j -1+j 0
 [  -1j    -1j  -1   ;   -1j   1-1j  -1   ;  1-1j     1j  -1-1j] -2j -j 0
 [-1     -1     -1   ;  1      1      1   ;    1j   1        1j] -1+j 1 0
 [-1-1j   1+1j     1j;  1-1j  -1+1j  -1   ; -1+1j   1     -1-1j] -1-2j -2+j 0
 [ 1      1        1j; -1+1j   1     -1+1j;   -1j   1+1j  -1   ]  1+j -j 0
 [-1-1j     1j    -1j; -1     -1-1j    -1j; -1     -1-1j    -1j] -1-2j -1-j 0
 [  -1j    -1j  -1   ; -1-1j  -1      1-1j;   -1j    -1j  -1   ] -1-2j -1+j 0
 [-1+1j  -1-1j  -1+1j;  1-1j  -1+1j  -1+1j; -1       -1j  -1   ] -1+2j -2 0
 [-1-1j  -1+1j   1+1j; -1+1j   1     -1   ; -1+1j   1     -1   ] -2j -1+j 0
 [  -1j  -1-1j  -1-1j;   -1j  -1-1j  -1-1j; -1-1j  -1-1j    -1j] -2-3j 1 0
 [ 1     -1-1j   1-1j;    1j   1      1   ; -1        1j     1j]  1+j 1 0
 [ 1       -1j  -1-1j;  1+1j  -1     -1+1j;    1j   1      1-1j]  2-j -1 0

No component greater than 2 in absolute value

 [   2j  -2-2j     2j;  1+1j  -1+1j   1+1j;   -1j   1       -1j] -2+2j 1 0
 [ 1      1     -2   ;    2j   1      2+2j;    2j   2+1j  -2+2j] -2+j 2+j 0
 [-1     -1      1   ;  1-2j   1-2j   1-1j;  1+2j   1+2j  -1+1j] -2-j 1 0
 [ 2+2j    -1j   1-1j; -2       -2j   2-2j; -2      2      2+2j]  3+3j 1-j 0
 [ 1-2j     1j  -1+2j;  2+1j  -1     -2-1j;  1     -2+1j  -2   ] -3-j 1-j 0
 [ 1-1j     2j    -2j;  2+1j  -1+1j  -1   ;  2+2j  -2        1j] -2+j 2 0
 [-2-2j   2+2j  -1   ;  2-2j  -2-1j   2   ;  2+2j   1-2j     2j] -4 -j 0
 [-1      1-1j   2-1j;   -2j     1j   2-1j;  2+2j  -2-1j  -2+1j] -1+2j -2 0
 [-2-1j   1       -1j;  1+2j  -2+1j     1j; -2+2j   2     -1-1j] -4-2j -1+j 0
 [ 2+1j   1     -2-2j;  1+1j  -2     -1+1j;  1-1j   1+2j   1   ]  1+2j -j 0
 [   1j     2j   1+2j; -1+1j   1+2j     2j;  2+2j  -2-2j   2+2j]  3+2j 3j 0
 [-2+2j  -1-1j  -2-2j;   -1j     1j   2-2j;   -2j   1      2   ] -1+2j 1+j 0
 [ 1       -2j  -1+1j;   -2j  -2-1j   1   ;  1+1j   2+1j   1   ] -1-2j 1+j 0
 [-2+2j   2-2j  -1+1j; -2-2j  -1+1j  -1-1j; -2     -1     -1   ] -2+4j -2-j 0

No component greater than 3 in absolute value

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

No component greater than 4 in absolute value

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

No component greater than 5 in absolute value

 [   3j  -5-1j  -3-1j;  2      5+3j   4+4j;  4-1j   5+3j   5+3j]  7+8j 3+j 0
 [  -2j    -2j   3-3j; -5+2j  -5+2j  -1+2j;  3-3j   3-3j   4+4j] -5+j 4+3j 0
 [ 3-5j     3j  -1-5j; -5-3j   3     -5+1j; -5+3j   1+3j  -3-2j]  7-4j -4-3j 0