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If you want to compute with polynomials, you should rather use polynomial variables:
sage: s = polygen(QQ,'s')
sage: z = polygen(QQ,'z')
sage: g1=1+s^2 ; g2=g1(s=1/(z-1) ) ; g2
(z^2 - 2*z + 2)/(z^2 - 2*z + 1)
This means using polygen instead of var. You also have to choose a coefficient field.
