The realization space is
  [1   1    1   0   0   1   1        0        2    1]
  [0   1   -1   1   0   0   1   x1 + 1   x1 + 1   x1]
  [0   0    0   0   1   1   2        2        2    2]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-12*x1^2 + 8*x1 + 4)
avoiding the zero loci of the polynomials
RingElem[2, x1 - 1, x1 + 1, x1, x1 + 3]