The realization space is
  [1   0   1        1   1   0          1   1         1         0    1]
  [0   1   1   x1 - 1   0   0          0   1        x1         2   x1]
  [0   0   0        0   1   1   2*x1 - 1   1   -x1 + 1   -x1 + 2   x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (x1^2 - 4*x1 + 2, 2*x1^5 - 13*x1^4 + 32*x1^3 - 37*x1^2 + 20*x1 - 4)
avoiding the zero loci of the polynomials
RingElem[2*x1 - 1, x1 - 4, x1, 2*x1^2 - 9*x1 + 6, 2*x1^3 - 11*x1^2 + 13*x1 - 6, 2*x1^3 - 16*x1^2 + 37*x1 - 18, 2*x1^3 - 9*x1^2 + 4*x1 + 2, x1 - 1, 2*x1^2 - 8*x1 + 3, x1 - 3, 2*x1^2 - 2*x1 + 1, x1^2 - 5*x1 + 3, 2, x1^2 - 3*x1 + 1, 2*x1 - 3, 2*x1^2 - 7*x1 + 2, 2*x1^2 - 9*x1 + 8, 2*x1^2 - 8*x1 + 5, x1 - 2, 2*x1^2 - 5*x1 + 4, 2*x1^3 - 15*x1^2 + 33*x1 - 16, 4*x1^4 - 32*x1^3 + 81*x1^2 - 69*x1 + 20, x1^2 - 3*x1 - 1, 3*x1 - 2]