The realization space is
  [1   0   1   1   0   1    0    1     x1 - 2   x1         1]
  [0   1   1   2   0   0    1    1   2*x1 - 4    1   -x1 + 2]
  [0   0   0   0   1   1   -1   x1      -2*x1   x1        x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (3*x1^4 - 11*x1^3 + 12*x1^2 - 4*x1)
avoiding the zero loci of the polynomials
RingElem[x1 - 1, x1, 2, x1 - 2, 3*x1 - 2, 2*x1 - 1, x1^2 + 3*x1 - 2, x1 + 1, 2*x1^2 - 3*x1 + 2, x1^2 - x1 + 2, x1 + 2]