The realization space is
  [1   0   1      1   1   0   1   0      1    1]
  [0   1   1   2*x1   1   1   2   0   2*x1    0]
  [0   0   0      0   1   1   1   1     x1   x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (8*x1^6 - 20*x1^5 + 12*x1^4 + 2*x1^3 - 2*x1^2)
avoiding the zero loci of the polynomials
RingElem[x1, 2, x1 - 1, x1 + 1, x1 - 2, 3, 2*x1 - 3, 2*x1 - 1]