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