Extracting coefficients of multivariate polynomials?
If I enter, say:
P.<x,y,z> = QQ[]
ex = 6*x*y^2-4*x*y*z+2*x^2*z
ex.coefficients()
then Sage returns
[6, -4, 2]
as it should. My problem is that I'm trying to obtain a list of coefficients when the coefficients are themselves expressions:
ex = (1-a^2)*x*y^2+(a-b^2+c)*x*y*z+(b^2-c^2-a)*x^2*z
What I want returned is
[1-a^2, a-b^2+c, b^2-c^2-a]
(the order doesn't matter). If I enter a, b, c
as elements of the same polynomial ring as x, y, z
then I have the problem of distinguishing the different variables: x, y, z
, from a, b, c
.
What's the best way to do this?
Thanks, Alasdair