The realization space is
  [1   1   0        1   0   1   1          0        1         1    1]
  [0   1   1   x1 - 1   0   0   1          1   x1 - 1        x1   x1]
  [0   0   0        0   1   1   1   2*x1 - 1       x1   -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, 12*x1^6 - 58*x1^5 + 102*x1^4 - 82*x1^3 + 30*x1^2 - 4*x1)
avoiding the zero loci of the polynomials
RingElem[x1, 2*x1 - 1, x1 - 1, 2, 2*x1^2 - 4*x1 + 1, x1^2 - x1 + 1, x1 - 2, 2*x1^2 - 1, 3*x1 - 2, x1^2 - 3*x1 + 1, 2*x1^2 - 6*x1 + 3, 2*x1 - 3, 2*x1^2 - 3*x1 + 2]