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