The realization space is
  [1   1   0   x1 - 1   1   0   0   x1 - 1      x1 - 1      x1 - 1]
  [1   0   1    -x1^2   1   0   1      -x1       -x1^2         -x1]
  [0   0   0        0   1   1   1   x1 - 1   x1^2 - x1   x1^2 - x1]
in the multivariate polynomial ring in 1 variable over ZZ
avoiding the zero loci of the polynomials
RingElem[x1, x1 - 1, 2*x1 - 1, x1^2 + x1 - 1, 2*x1^2 - 1, 3*x1 - 2]