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How to convert a symmetric function into a polynomial on elementary symmetric functions?

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 (x2x2)(y2y2)(z2z2) 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.