By the Fundamental Theory of Symmetric Polynomials every symmetric polynomial in C[x1,…,xn] can be written uniquely in the elementary symmetric functions e1,…,en. How can we obtain the expression if we are given a concrete symmetric polynomial on sagemath?
I want to know the value (x2−x−2)(y2−y−2)(z2−z−2) when x+y+z=0,xy+yz+zx=−3,xyz=−1.
I asked ChatGPT and searched on asksage , but I was unable to finally find what I was looking for.