The realization space is
  [1   1   1   0   0   1   2   2   1    0]
  [0   1   2   1   0   0   0   2   2    1]
  [0   0   0   0   1   1   1   1   1   x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (16*x1^2 - 8*x1 - 2)
avoiding the zero loci of the polynomials
RingElem[2*x1 - 1, x1 - 1, x1, 2, 4*x1 - 1, 2*x1 + 1, 4*x1 + 1, x1 + 1, 3]