The realization space is
  [1   0   1                 1   1   0    1   1         1                 0    1]
  [0   1   1   x1^2 - 4*x1 + 2   0   0    0   1        x1                 1   x1]
  [0   0   0                 0   1   1   x1   1   -x1 + 1   x1^2 - 5*x1 + 3   x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal with 2 generators
avoiding the zero loci of the polynomials
RingElem[x1^2 - 5*x1 + 2, x1, x1^2 - 5*x1 + 3, x1^3 - 6*x1^2 + 7*x1 - 3, x1^4 - 10*x1^3 + 30*x1^2 - 24*x1 + 6, x1^3 - 5*x1^2 + 2*x1 + 1, x1 - 1, 2*x1 - 1, x1^2 - 4*x1 + 2, x1^2 - 3*x1 + 1, x1 - 2, x1^2 - 4*x1 + 1, x1 - 4, x1^4 - 10*x1^3 + 30*x1^2 - 26*x1 + 7, x1^3 - 6*x1^2 + 9*x1 - 3, x1 - 3, x1^4 - 9*x1^3 + 25*x1^2 - 21*x1 + 6, x1^4 - 9*x1^3 + 25*x1^2 - 22*x1 + 7, x1^3 - 4*x1^2 + 1, x1^3 - 5*x1^2 + 5*x1 - 2]