PS:
> There is a slightly simpler definition of R:
> sage: R.<x1,x2,x3,x4,x5> = QQ[]

... simpler in the sense that it defines x1,...,x5 on the fly, so that
you do not need to do (x1,x2,x3,x4,x5) = R.gens()
Yours,
    Simon
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