The realization space is
  [1   1   0   x1 - 1   0   1   2*x1 - 1   1          0    1]
  [0   1   1      -x1   0   0          0   1   2*x1 - 1   x1]
  [0   0   0        0   1   1       x1^2   1     x1 - 1   x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (4*x1^7 - 14*x1^6 + 20*x1^5 - 15*x1^4 + 6*x1^3 - x1^2)
avoiding the zero loci of the polynomials
RingElem[x1, x1^2 + x1 - 1, x1 - 1, 2*x1 - 1, 3*x1 - 2]