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