The realization space is
  [1    1   1   0   x1 - 1   0   1    1   1          0]
  [1   x1   0   1      -x1   0   1   x1   0   2*x1 - 1]
  [0    0   0   0        0   1   1   x1   1     x1 - 1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-x1^6 - x1^5 + 9*x1^4 - 12*x1^3 + 6*x1^2 - x1)
avoiding the zero loci of the polynomials
RingElem[3*x1 - 2, x1^2 + x1 - 1, x1 - 1, x1, 2*x1 - 1]