The realization space is
  [1   0   1   x1 - 1   0   1        1    0                  1    1    1]
  [0   1   1        1   0   0        0    1                  1   -1   -1]
  [0   0   0        0   1   1   x1 - 1   -1   -x1^2 + 3*x1 - 2    1   x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-2*x1^6 + 14*x1^5 - 38*x1^4 + 48*x1^3 - 24*x1^2 - 2*x1 + 4)
avoiding the zero loci of the polynomials
RingElem[x1 - 1, 2, x1, x1^2 - 4*x1 + 2, x1^2 - 2*x1 + 2, x1 - 2, x1^2 - 3*x1 + 1, x1^2 - 3*x1 + 3, x1^2 - x1 - 1, 2*x1 - 3]