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