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