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