Finding Schur coefficient of a concrete polynomial
By concrete polynomial, I mean something like
$$ (x1+x2) (x1+x3) (x2+x3) $$
What I tried didn't work here:
sage: R.<x0,x1,x2> = PolynomialRing(QQ, 3)
sage: Sym = SymmetricFunctions(QQ)
sage: s = SymmetricFunctions(QQ).s()
sage: f = x0^2*x1 + x0*x1^2 + x0^2*x2 + 2*x0*x1*x2 + x1^2*x2 + x0*x2^2 + x1*x2^2
sage: s(f)
It gives a long error message.