The realization space is
  [1   0   1           1   0   1    0    1           1    1      1]
  [0   1   1   x2^2 + x2   0   0    1    1   x2^2 + x2   x2     x2]
  [0   0   0           0   1   1   -1   x2          x1    1   x2^2]
in the multivariate polynomial ring in 2 variables over ZZ
avoiding the zero loci of the polynomials
RingElem[x2, x2 - 1, x2 + 1, x1 - x2^3 - x2^2, x1 - x2^2, x1*x2 - x1 - x2^4 - x2^3 + x2^2, x1, x1 - x2^3 - x2^2 + x2, x2^2 + x2 - 1, x1 - x2 - 1, x1 - 1, x1*x2 - x1 - x2^2 - x2 + 1, x1 + x2^2 - 1, x1 - x2, x1 - x2^3 + x2 - 1, x1 + x2^2 + x2, x1 + x2^2 + x2 - 1, x2^3 - x2 + 1]