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