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