The realization space is
  [1   0   1   0   1   0   1     1       1    1]
  [0   1   1   1   1   0   2     0   -2*x1    2]
  [0   0   0   1   1   1   1   -x1     -x1   x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (4*x1^5 - 12*x1^3 + 8*x1)
avoiding the zero loci of the polynomials
RingElem[2, x1 - 1, x1, x1^2 - x1 - 1, x1 + 1, x1 - 2, 2*x1 + 1]