In working with polynomials
R.<x,y>=PolynomialRing(ZZ)
F=x^2*y-2*x^2-x
print F.coefficients()[0].parent()
print F.coefficient({x:2,y:1}).parent()
The first returns the base ring (ZZ) and the second the multivariable
polynomial ring.
I can definitely see that since you could call F.coefficient({x:2})
which would in fact be a polynomial, hence this behavior is expected,
but it wasn't what I expected.
Again probably expected behavior, but I thought worth noticing.
Ben
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