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