The realization space is
  [1   1   0      1   0   1   1        0         1         1    1]
  [0   1   1   2*x1   0   0   1       x1      2*x1        x1   x1]
  [0   0   0      0   1   1   1   x1 - 1   -x1 + 1   -x1 + 1   x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (12*x1^6 - 40*x1^5 + 55*x1^4 - 39*x1^3 + 14*x1^2 - 2*x1)
avoiding the zero loci of the polynomials
RingElem[x1, 2*x1 - 1, x1 - 1, 3*x1 - 1, 3*x1^2 - 3*x1 + 1, 3*x1 - 2, 2, 2*x1^2 - 2*x1 + 1, 3]