The realization space is
  [1   1   0   1   0         1      1           1    0           1]
  [0   1   1   0   0        x1   2*x1           1    1        2*x1]
  [0   0   0   1   1   -x1 + 1      1   -2*x1 + 2   x2   -2*x1 + 2]
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[2, x1*x2 + x1 - 1, 2*x1*x2 + 2*x1 - x2 - 2, x2, 2*x1*x2 + 2*x1 - 1, 2*x1 - 1, x1 - 1, x1, 2*x1 + x2 - 2, 2*x1 + x2 - 1, x2 - 1, 2*x1*x2 - 1, 2*x1*x2 - x2 - 1, x2 + 1]