The realization space is
  [1   0   1   1   -x1 + 2    1   0        1         0            -x1 + 2                       1]
  [0   1   1   1         1   x1   0        0         1                  1                      x1]
  [0   0   0   1         1    1   1   x1 - 1   -x1 + 2   -x1^2 + 3*x1 - 2   -x1^3 + 3*x1^2 - 2*x1]
in the multivariate polynomial ring in 1 variable over ZZ
avoiding the zero loci of the polynomials
RingElem[x1 - 1, x1, x1^2 - 3*x1 + 3, x1^3 - 3*x1^2 + 2*x1 + 1, x1 - 2, x1^3 - 4*x1^2 + 5*x1 - 1, x1^4 - 6*x1^3 + 12*x1^2 - 9*x1 + 1, x1^2 - 3*x1 + 1, 2*x1^3 - 6*x1^2 + 6*x1 - 1, x1^4 - 5*x1^3 + 8*x1^2 - 4*x1 - 1, x1^2 - 2*x1 + 2]