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