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Simplifying symbolic characteristic polynomial

I have a simple code,

sage: theta=var('theta');

sage: assume(theta,'real');

sage: M=matrix([[1,0],[cos(theta),-i*sin(theta)]])/sqrt(2);

sage: show(M)

sage: cp = characteristic_polynomial((M.conjugate_transpose())*M)

sage: show(cp)

When I type cp.[TAB], I get no options to .simplify() the expression, neither to solve it, and typing this "solve(cp,x)" gives an error. What is the problem?

Simplifying symbolic characteristic polynomial

I have a simple ~~code,~~ code,

sage: theta=var('theta'); theta=var('theta') sage: assume(theta,'real'); assume(theta,'real') sage: M=matrix([[1,0],[cos(theta),-i*sin(theta)]])/sqrt(2); M=matrix([[1,0],[cos(theta),-i*sin(theta)]])/sqrt(2) sage: show(M) show(M) sage: cp = characteristic_polynomial((M.conjugate_transpose())*M) characteristic_polynomial((M.conjugate_transpose())*M) sage: show(cp)

show(cp)

When I type ~~cp.[TAB],~~ cp.[TAB], I get no options to .simplify() the expression, neither to solve it, and typing this ~~"solve(cp,x)"~~ solve(cp,x) gives an error. What is the problem?