The realization space is
  [1   1   0   2*x1 - 2   0   1   1   0   2*x1 - 2   1      2]
  [1   0   1         x1   0   1   0   1         x1   2     x1]
  [0   0   0          0   1   1   1   2   4*x1 - 4   2   2*x1]
in the multivariate polynomial ring in 1 variable over ZZ
avoiding the zero loci of the polynomials
RingElem[2, x1, x1 - 1, x1 - 2, x1 - 4, 3*x1 - 4, 3*x1 - 2, 3, 5*x1 - 4, 2*x1 - 3, 2*x1 - 1]