The realization space is
  [1   0   1   x1 - 1   0   1   0   1    1      x1 - 1]
  [0   1   1     2*x1   1   1   0   2    0        2*x1]
  [0   0   0        0   1   1   1   1   x1   x1^2 - x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (4*x1^5 - 10*x1^4 + 4*x1^3 + 2*x1^2)
avoiding the zero loci of the polynomials
RingElem[x1, 2, x1 - 1, x1 - 2, x1^2 - 2*x1 - 1, x1 + 1, x1 - 3]