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