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