The realization space is
  [1   1   x1 - 1   0   0   1    1     x1 - 1    0   1    1]
  [1   0       x1   1   0   1    0         x1    2   2    2]
  [0   0        0   0   1   1   x1   2*x1 - 2   x1   2   x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-18*x1^5 + 116*x1^4 - 280*x1^3 + 304*x1^2 - 128*x1)
avoiding the zero loci of the polynomials
RingElem[x1 - 2, 2, x1, x1 - 1, x1 - 4, x1^2 - 6*x1 + 4, x1 + 2, 3*x1 - 4, 3*x1^2 - 6*x1 + 4, 3, 3*x1 - 2]