The realization space is
  [1   1   x1 - 1   0   0   1         x1   x1 - 1    0   x1 - 1    1]
  [0   1      -x1   1   0   0         x1      -x1   x1       x1   x1]
  [0   0        0   0   1   1   2*x1 - 1       -1   -1       -1    1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-4*x1^5 + 3*x1^4 - x1^3)
avoiding the zero loci of the polynomials
RingElem[2, x1, 3*x1 - 2, x1 - 2, x1 - 1, 2*x1 - 1, 2*x1^2 - 2*x1 + 1, 3*x1 - 1, x1 + 1]