The realization space is
  [1   0   1   1   0   1    0   1    1           3]
  [0   1   1   2   0   0    1   1    2   -2*x1 + 2]
  [0   0   0   0   1   1   -1   1   -2        3*x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (3*x1^2 + 12*x1 + 12)
avoiding the zero loci of the polynomials
RingElem[2, x1 + 2, 3, 5*x1 - 2, x1 - 1, 2*x1 + 1, x1 - 4, x1]