The realization space is
  [1   1   0   0    1        1   0   -x1^2 - x1 + 1   -x1^2 - x1 + 1      x1^2 + x1 - 1                               x1]
  [0   1   1   1   x1   x1 + 1   0                0   -x1^2 - x1 + 1   x1^3 + x1^2 - x1   -x1^3*x2 + x1^2 + 2*x1*x2 - x2]
  [0   1   1   0    0        1   1              -x1              -x1               x1^2                            x1*x2]
in the multivariate polynomial ring in 2 variables over ZZ
avoiding the zero loci of the polynomials
RingElem[x1 - 1, x1^2*x2 + x1*x2 - x1 - x2, x2, x1, x1^3 - x1^2*x2 - x1*x2 + x2, x1^5*x2 + x1^4*x2 - 2*x1^3*x2 - x1^3 + 2*x1*x2 - x2, x1^2*x2 - x1^2 + x1*x2 - x2, x1^2 + x1 - 1, x1^4*x2 - x1^3 - x1^2*x2 + 2*x1*x2 - x2, x1^3*x2 - x1^2 - 2*x1*x2 + x2, x1 + 1, x1^3 - x1 + 1, x1^5*x2 - x1^4 - 2*x1^3*x2 + 2*x1^2*x2 + x1*x2 - x2, x1^5*x2 + x1^4*x2 - x1^4 - 2*x1^3*x2 - x1^3 + 2*x1*x2 - x2, x1^3*x2 - 2*x1*x2 + x1 + x2, x1^3*x2 + x1^2*x2 - x1^2 - x1*x2 + x2, x2 - 1, x1^3*x2 - x1^2 - x1*x2 + x2]