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