The realization space is
  [1   0   1    1   0   1    0           1    1          1           1]
  [0   1   1   x1   0   0    1           1   x1   5*x1 - 2    5*x1 - 2]
  [0   0   0    0   1   1   -1   -5*x1 + 2   x1          1   -5*x1 + 2]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (5*x1^2 - 4*x1 + 1, 2500*x1^6 - 8375*x1^5 + 11175*x1^4 - 7585*x1^3 + 2753*x1^2 - 504*x1 + 36)
avoiding the zero loci of the polynomials
RingElem[5*x1 - 2, 5*x1 - 1, 5*x1 - 3, 2, 2*x1 - 1, x1, 3*x1 - 1, 5*x1^2 - 5*x1 + 1, 5*x1^2 - 6*x1 + 2, x1 - 1, 25*x1^2 - 22*x1 + 5, 20*x1^2 - 19*x1 + 5, 4*x1 - 1, 5*x1^2 - 1, 7*x1 - 3, 3, 5*x1^2 - x1 - 1]