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