The realization space is
  [1   0   1   1   0   1    0         1     x1 - 1   x1 - 1           1]
  [0   1   1   2   0   0    1         1   2*x1 - 2       -1   -2*x1 + 2]
  [0   0   0   0   1   1   -1   -x1 + 1        -x1   x1 - 1          x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-4*x1^8 + 24*x1^7 - 53*x1^6 + 53*x1^5 - 24*x1^4 + 4*x1^3)
avoiding the zero loci of the polynomials
RingElem[2*x1 - 1, x1 - 2, x1 - 1, x1^2 - 3*x1 + 1, x1, 2*x1^2 - 4*x1 + 1, 2]