The realization space is
  [1   1   0        1   0   1   1        0        1   2*x1 - 1    1]
  [0   1   1   x1 - 1   0   0   1       x1   x1 - 1     x1 - 1   x1]
  [0   0   0        0   1   1   1   x1 - 1       x1         x1   x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-4*x1^7 + 18*x1^6 - 32*x1^5 + 30*x1^4 - 13*x1^3 + 2*x1^2)
avoiding the zero loci of the polynomials
RingElem[x1, 2*x1 - 1, 2, x1 - 1, 2*x1^2 - 4*x1 + 3, 2*x1^2 - 2*x1 + 1, x1^2 - x1 + 1, x1 - 2, x1^2 - 2*x1 + 2, 3*x1 - 2]