The realization space is
  [1   0   1   1   0   1    0   1    1    1]
  [0   1   1   2   0   0    1   1    2   x1]
  [0   0   0   0   1   1   -1   1   -2   -2]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-6*x1^2 + 6*x1 + 12)
avoiding the zero loci of the polynomials
RingElem[2, x1 - 2, 3, x1 + 2, x1 - 1, x1 - 4, x1 - 3, x1, x1 - 6]