The realization space is
  [1   1   0    1   0   1    1   1   0          1]
  [0   1   1   -1   0   0    0   1   1   2*x1 - 1]
  [0   0   0    0   1   1   x1   1   1         x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (2*x1^4 - x1^3 - 6*x1^2 + 7*x1 - 2)
avoiding the zero loci of the polynomials
RingElem[x1 - 1, x1 - 2, x1, 2*x1 - 1, 2, 3*x1 - 2, x1 + 1]