function Av = formAnnv(n,ts)

% forms complex matrix flows for 2 <= m,n <= 8

 Ats = [    -1i * (ts+1),          cos(sin(0.1*ts)),     1.2+0.3*ts,          -exp(sin(0.2*ts)),    1i/2,              1i+cos(0.3*ts),               ts,                   -exp(sin(0.3*ts));
       exp(1/(2+sin(2i*0.1*ts))),  cos(0.13*ts)-1i,        2i,                      1i,          cos(2*0.3*ts),             1,                       0                       (1-6i)*ts;
          1i*0.1*(ts-8)^2,         2/(0.3*ts^2+1),   -0.12*0.1*ts^2+2.4*0.3*ts-.7,   0,         abs(0.3*ts)^.5,             0,             .6*1i-.5*sin(0.3*ts),           1i*sin(0.3*ts);
        -1i*exp(sin(0.3*ts)),       -2i+0.3*ts,         0.3*ts^1.2+.5,          1/(0.3*ts+1i),    sin(11*0.03*ts),     sin(2*0.3*ts)*2+1i,            0,                        1i/2;
               1/2,               cos(2*0.2*ts),      1i*sin(0.2*ts),         cos(0.3/(ts+1)),          1,             exp(cos(0.03*ts)),      0.3*ts/(1+0.1*ts^2),        exp(cos(0.2*ts));
          1+2i*cos(-0.2*ts),            1,                 0.01,              sin(2*0.3*ts),    exp(cos(0.3*ts)),       1i/(0.3*ts+2),        -1i*exp(sin(0.3*ts)),       1i*exp(sin(0.3*ts));
                0,                 0.2*ts-1i,           2i*0.3*ts,                 0,        cos(0.3*ts)*sin(0.3*ts),         0,         -0.15*0.3*ts^2*1i+3*0.3*ts-.6,       -2i+0.3*ts;
          exp(sin(0.1*ts)),      cos(0.2*ts)+2i,           0.2i,                 ts*1i,          cos(0.1*ts),           1.357*ts^0.5,              .8*1i,                 (1-0.6*1i)*cos(ts)];
          
 Am = Ats(1:n,1:n); % + ones(n,n) + 2*eye(n);
 
 Av = Am(:);    %  column vector matrix A(:)  of Am matrix
          