The realization space is
  [1   0   1             2*x1   0   1    0    1             2*x1   x1         1]
  [0   1   1   -x1^2 + x1 + 2   0   0    1    1   -x1^2 + x1 + 2    1   -x1 + 2]
  [0   0   0                0   1   1   -1   x1        x1^2 + x1   x1        x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-x1^7 - x1^6 + 11*x1^5 - 7*x1^4 - 10*x1^3 + 8*x1^2)
avoiding the zero loci of the polynomials
RingElem[x1 - 1, x1 + 2, x1 - 2, x1 + 1, x1, 2, x1^2 + 3*x1 - 2, x1^2 + 2*x1 - 1, x1^2 - 2, 3*x1 - 2, x1^3 - 2*x1^2 - 3*x1 + 2]