The realization space is
  [1   1        x1 - 2   0   0   1    1            x1 - 2         0         1         1]
  [0   1   x1^2 - 3*x1   1   0   0    1       x1^2 - 3*x1    x1 - 2   -x1 + 2   -x1 + 2]
  [0   0             0   0   1   1   x1   x1^2 - 3*x1 + 2   -x1 + 1    x1 - 1        x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal with 3 generators
avoiding the zero loci of the polynomials
RingElem[x1 - 2, x1 - 1, 2*x1^2 - 7*x1 + 4, x1^3 - 5*x1^2 + 7*x1 - 4, 2*x1^3 - 10*x1^2 + 15*x1 - 8, 2*x1^3 - 8*x1^2 + 7*x1 - 2, x1, x1 - 3, x1^2 - 4*x1 + 2, x1^2 - x1 - 1, x1^3 - 2*x1^2 - 2*x1 + 2, 2, x1^3 - 6*x1^2 + 10*x1 - 6, x1^2 - 2*x1 + 2, x1^3 - 4*x1^2 + 3*x1 - 2]