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