The realization space is
  [1   0   1         1   0   1    0   1         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 (-4*x1^3 + 6*x1^2 - 2*x1)
avoiding the zero loci of the polynomials
RingElem[2, x1, x1 - 1, x1 + 1, x1^2 - x1 + 2, x1 - 2, x1^2 - 2*x1 + 2]