The realization space is
  [1   1   0   0   1   1          0          1           1           1            x1 - 1]
  [1   0   1   0   1   0     x1 - 1         x1     -x1 + 1         -x1         x1^2 - x1]
  [0   0   0   1   1   1   2*x1 - 1   2*x1 - 1   -2*x1 + 1   -2*x1 + 1   2*x1^2 + x1 - 1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (16*x1^5 - 36*x1^4 + 30*x1^3 - 12*x1^2 + 2*x1)
avoiding the zero loci of the polynomials
RingElem[2, x1, 2*x1 - 1, 3*x1 - 1, x1 - 1, x1^2 + 2*x1 - 1, x1 + 1, 3, 3*x1 - 2]