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