The realization space is
  [1   1             x1 - 2   0   0   1    1             x1 - 2        0        1        1]
  [1   0   -x1^2 + 4*x1 - 1   1   0   1    0   -x1^2 + 4*x1 - 1   x1 - 2   x1 - 1   x1 - 1]
  [0   0                  0   0   1   1   x1    x1^2 - 3*x1 + 2   x1 - 1   x1 - 1       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, x1 - 1, x1 - 3, 2*x1 - 1, x1^3 - 5*x1^2 + 6*x1 - 3, 2*x1^3 - 10*x1^2 + 14*x1 - 7, 2*x1^3 - 8*x1^2 + 7*x1 - 4, x1, x1^2 - 3*x1 - 1, x1^2 - 4*x1 + 1, x1^2 - x1 - 1, x1 + 1, x1^2 - 3*x1 + 1, 2*x1^2 - 8*x1 + 5, x1^3 - 6*x1^2 + 9*x1 - 5, x1^2 - x1 + 1, x1^3 - 4*x1^2 + 2*x1 - 2]