The realization space is
  [1   0   1     1   0   1    0   1     1       1]
  [0   1   1   -x1   0   0    1   1   -x1   -2*x1]
  [0   0   0     0   1   1   -1   1    x1      x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (x1^6 + 2*x1^5 - 2*x1^3 - x1^2)
avoiding the zero loci of the polynomials
RingElem[x1, x1 - 1, 3, 2*x1 + 1, x1 + 2, x1 + 1, 2]