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