The realization space is
  [1   0   1        1   0   1       x1 - 2    0     1    1    1]
  [0   1   1   x1 - 1   0   0            0    1     1   -1   -1]
  [0   0   0        0   1   1   -x1^2 + x1   -1   -x1    1   x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-3*x1^4 + 3*x1^3 + 4*x1^2 - 4*x1, 2*x1^5 - 14*x1^4 + 24*x1^3 - 12*x1^2)
avoiding the zero loci of the polynomials
RingElem[x1 - 1, 2, x1, x1 - 2, 2*x1 - 3, 3*x1 - 4, x1^2 - 2, x1 + 1, x1 + 2, 2*x1^2 - x1 - 2]