The realization space is
  [1   1   x1 - 1   0   0   1    1     x1 - 1     0    1    1]
  [0   1       -1   1   0   0    1         -1     1   -1   -1]
  [0   0        0   0   1   1   x1   2*x1 - 2   -x1    2   x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-7*x1^3 + 22*x1^2 - 20*x1 + 8)
avoiding the zero loci of the polynomials
RingElem[x1 - 2, 2, x1, x1 - 1, x1^2 - 4*x1 + 2, 3*x1 - 2, x1 + 2, x1^2 - 2*x1 + 2, 2*x1^2 - 3*x1 + 2, 2*x1 - 1]