The realization space is
  [1    1   1   0   0   1    1   1        0         1         1]
  [1   x1   0   1   0   1   x1   0   x1 - 2   -x1 + 2   -x1 + 2]
  [0    0   0   0   1   1   x1   2      -x1         2        x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (2*x1^7 - 18*x1^6 + 62*x1^5 - 106*x1^4 + 96*x1^3 - 44*x1^2 + 8*x1)
avoiding the zero loci of the polynomials
RingElem[x1 - 1, x1 - 2, 2, x1, x1^2 - 3*x1 + 4, x1^2 - 2*x1 + 2, 3*x1^2 - 6*x1 + 4, x1 + 2, x1 - 4, x1^2 - 2*x1 + 4, 2*x1 - 3, 3*x1 - 2]