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