The realization space is
  [1   1   0    1   1   0    1   0   1    1]
  [0   1   1   -1   1   1   -1   0   0    0]
  [0   0   0    0   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 - 2*x1 - 1)
avoiding the zero loci of the polynomials
RingElem[x1 - 1, x1, 2*x1 + 1, x1 + 1, 2, 2*x1 - 1, 3]