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3 × 3 singular defective complex matrices

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