The realization space is
  [1   0   1   0   1   0   1    2      2            2]
  [0   1   1   1   1   0   2    0   2*x1         2*x1]
  [0   0   0   1   1   1   1   x1     x1   -x1^2 + x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-4*x1^7 + 12*x1^6 + 16*x1^5 - 48*x1^4)
avoiding the zero loci of the polynomials
RingElem[x1, x1 - 1, x1 - 2, x1 + 2, x1^2 - x1 + 2, x1 + 1, 2]