The realization space is
  [1   0   1   x1^2 - 2*x1 + 1   0   1        0    1   x1 - 1      x1 - 1]
  [0   1   1                -1   0   0        1    1        1           1]
  [0   0   0                 0   1   1   x1 - 1   x1   x1 - 1   x1^2 - x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-x1^6 + 6*x1^5 - 15*x1^4 + 20*x1^3 - 14*x1^2 + 4*x1)
avoiding the zero loci of the polynomials
RingElem[x1 - 1, x1 - 2, x1, 2, x1^2 - 2*x1 + 2]