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