The realization space is
  [1   0   1   x1 - 1   0   1    1    0   x1     1     1]
  [0   1   1       x1   0   0    0    1   x1   -x1   -x1]
  [0   0   0        0   1   1   -1   -1   -1     1    x1]
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 + 1, 2, 2*x1 + 1, x1^2 - x1 + 1, x1 - 2, x1 + 2, 2*x1 - 1]