polsym() reverse

["Max Alekseyev" <maxale@gmail.com>]

Hello, pari-users!

Does there exist a function that is reverse to polsym(), i.e., that
reconstructs the polynomial from given vector of the symmetric powers
of its roots?
I believe that such function should exist but I could not find it so far.

If not, does anybody have an implementation of such a function?

Thanks,
Max