The realization space is
  [1   1   0     x1 - 1   0   1   x1^2 - 2*x1 + 1   1        0         1    1]
  [0   1   1   2*x1 - 1   0   0                 0   1   x1 - 1   -x1 + 1   x1]
  [0   0   0          0   1   1       2*x1^2 - x1   1      -x1        x1   x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-2*x1^5 + 9*x1^4 - 16*x1^3 + 14*x1^2 - 6*x1 + 1)
avoiding the zero loci of the polynomials
RingElem[2*x1 - 1, x1, x1 - 1, x1^2 - 4*x1 + 2, 2, x1 - 2, 2*x1^2 - 2*x1 + 1, 3*x1 - 2, x1^2 + x1 - 1, 3*x1 - 1, x1^2 - 3*x1 + 1]