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It is not clear to me how this answer helps. I want to express a symmetric polynomial $P(x,y)$ in terms of $x+y$ and $xy$, the two elementary symmetric polynomials in $x$ and $y$. How can I modify my code to do this?

Given a symmetric polynomial $P$ in $n$ variables, I'm trying to write code to express $P$ as a polynomial in the elementary symmetric polynomials in $n$ variables. My understanding is that SymmetricFunctions can be used for this, but it's not clear to me how this works. Below is the code for one simple example.

R.<x,y> = PolynomialRing(QQ)
e = SymmetricFunctions(QQ).elementary()
e.from_polynomial(x^2*y^2)

The output I get is

e[2, 2] - 2*e[3, 1] + 2*e[4],

which does not make sense to me; the expression should be e[2,2], I believe. Can anybody point out what I'm doing wrong?

I'm trying to install the Git-Trac command by following the instructions given here. When I run the command

git clone https://github.com/sagemath/git-trac-command.git

I get the following error message: "fatal: unable to access 'https://github.com/sagemath/git-trac-command.git/': SSL certificate problem: Invalid certificate chain"

Any suggestions on how to deal with this?