The realization space is
  [1   1   x1 - 1   0   0   1    1   2*x1 - 2           0   2*x1 - 2        2*x1 - 2]
  [1   0       x1   1   0   1    0       2*x1           1         x1              x1]
  [0   0        0   0   1   1   x1         x1   -2*x1 + 3         x1   2*x1^2 - 2*x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-4*x1^11 + 12*x1^10 - 11*x1^9 + 3*x1^8)
avoiding the zero loci of the polynomials
RingElem[x1 - 2, x1, 2*x1 - 3, 5*x1 - 6, 4*x1 - 5, 3*x1 - 4, x1 - 1, 2, x1 - 3, 3]