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