The realization space is
  [1   1   0        x1   0   1   1        0        x1    1]
  [0   1   1   -x1 + 1   0   0   1   x1 - 1   -x1 + 1   x1]
  [0   0   0         0   1   1   1       x1      x1^2   x1]
in the multivariate polynomial ring in 1 variable over ZZ
avoiding the zero loci of the polynomials
RingElem[x1^2 + x1 - 1, x1, x1 - 1, 2*x1 - 1, x1 + 1]