The realization space is
  [1   1   0           1   0   1   1           0           1    1         1]
  [1   0   1   -2*x1 + 2   0   1   0           2   -2*x1 + 2   x1   -x1 + 1]
  [0   0   0           0   1   1   1   -4*x1 + 3        2*x1   x1        x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (4*x1^2 - 5*x1 + 2, 32*x1^5 - 144*x1^4 + 214*x1^3 - 129*x1^2 + 27*x1)
avoiding the zero loci of the polynomials
RingElem[x1, 2*x1 - 1, x1 - 1, 4*x1 - 3, 2, 4*x1^2 - 9*x1 + 3, 4*x1 - 5, 4*x1^2 - 5*x1 + 3, 2*x1^2 - 2*x1 + 1, 3*x1 - 2, 12*x1^2 - 19*x1 + 6, 4*x1 - 1, 4*x1^2 - x1 - 2, x1 - 2, 2*x1 - 3, 4*x1^2 - 9*x1 + 4, 4*x1^2 - 7*x1 + 4, 8*x1^2 - 10*x1 + 5]