The realization space is
  [1    1   1   0   0   1    1   1        0         1         1]
  [1   x1   0   1   0   1   x1   0        1   -x1 + 2   -x1 + 2]
  [0    0   0   0   1   1   x1   2   x1 - 2         2        x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (x1^2 - 3*x1 + 4, x1^6 - 7*x1^5 + 17*x1^4 - 21*x1^3 + 14*x1^2 - 4*x1)
avoiding the zero loci of the polynomials
RingElem[x1 - 1, x1 - 2, 2, x1^2 - 2*x1 + 2, 2*x1^2 - 5*x1 + 4, x1, x1^2 - 3*x1 + 3, x1^2 - 4*x1 + 6, 2*x1 - 3, x1 + 2, x1^2 - 4*x1 + 2, x1 - 3, 3*x1 - 2]