The realization space is
  [1   0   1    1   0   1    2*x1 - 1   0    1    1        2*x1 - 1]
  [0   1   1   x1   1   1   x1^2 + x1   0   x1    0       x1^2 + x1]
  [0   1   1   x1   0   0           0   1    1   x1   x1^2 - x1 + 1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-x1^8 + 4*x1^7 - 11*x1^6 + 16*x1^5 - 14*x1^4 + 7*x1^3 - x1^2)
avoiding the zero loci of the polynomials
RingElem[x1, x1 + 1, x1 - 1, x1^2 - x1 + 1, x1 - 2, 2*x1 - 1, 3, x1^2 - 4*x1 + 1]