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Here is a way:
sage: var('a,b,c,x')
sage: sinx = function('sinx',nargs=1)
sage: pol = 3*a*x^(-b)*log(x)*b^2 - 6*a*b*c*sinx(x*b) + 3*a*c^2 + 5
sage: R = PolynomialRing(SR, names='a,c')
sage: f = pol.polynomial(ring=R)
sage: dict(zip(f.monomials(), f.coefficients()))
{1: 5, a: 3*b^2*log(x)/x^b, a*c: -6*b*sinx(b*x), a*c^2: 3}
Note the generators of the ring R
are not the same as the symbolic variables a
and c
.
To get the coefficient of c
as in your example, you can do:
sage: f.monomial_coefficient(R.gen(1))
0
Or maybe more conveniently, something like:
sage: A,C = R.gens()
sage: f.monomial_coefficient(C)
0