Question: plot discrete point

 Hello , I need to plot the following on the same axes of implicit plot where discrete wavenumbers k1, k2, k3 on the same set of axes (the wavenumbers are points [k1,0], [k2,0], [k3,0], ...) , where k_{n}=2*n*Pi/L and the domain [0,L] 

Could you please help , I couldn't do. Thank you

 

restart;
with(plots, implicitplot);
alpha := 0.1;
beta := 0.1;
mu := 0.5;
u := 0.5;
v := 1;
gamma = 0.1;
                          alpha := 0.1

                          beta := 0.1

                           mu := 0.5

                            u := 0.5

                             v := 1

                          gamma = 0.1

Eq := -2*sigma*alpha*beta*mu*u - sigma*alpha*beta^2*u*v - 2.0*mu*alpha*beta^2*u*v - gamma^2*k^2*alpha*beta*u + beta*sigma^2*v + sigma^3 + 2*mu*sigma^2 - alpha*beta*sigma^2*u + sigma*beta^2*u*v + gamma^2*k^2*sigma + 2.0*mu*beta*sigma*v + 2.0*mu*beta^2*u*v;
                                            2  2              2
 Eq := 0.0995 sigma + 0.004500 - 0.005 gamma  k  + 1.095 sigma 

           3        2  2      
    + sigma  + gamma  k  sigma


implicitplot(Eq, k = 0 .. 10, sigma = -0.1 .. 0.1);
 

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