The realization space is
  [1   1   0   0        1        1   0             1                 1                 1        x1 - 2]
  [0   1   1   1   x1 - 1       x1   0             0                 1            x1 - 1   x1^2 - 2*x1]
  [0   0   0   1   x1 - 1   x1 - 1   1   x1^2 - 3*x1   x1^2 - 3*x1 + 1   x1^2 - 3*x1 + 1            x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (2*x1^3 - 10*x1^2 + 12*x1 - 2, x1^4 - x1^3 - 14*x1^2 + 23*x1 - 4)
avoiding the zero loci of the polynomials
RingElem[x1^3 - 4*x1^2 + 3*x1 - 1, x1 - 1, x1^2 - 4*x1 + 2, x1^3 - 5*x1^2 + 7*x1 - 4, x1^3 - 6*x1^2 + 11*x1 - 7, x1, x1 - 2, x1 - 3, x1^2 - 3*x1 + 1, x1^3 - 6*x1^2 + 11*x1 - 5, x1^2 - 5*x1 + 5, x1^3 - 4*x1^2 + 3*x1 + 1, x1^3 - 3*x1^2 + 1, x1^2 - 4*x1 + 1, x1^3 - 5*x1^2 + 7*x1 - 1]