The realization space is
  [1   0   1             x1 - 1   0   1    1   0             x1 - 1             x1 - 1      x1 - 1]
  [0   1   1   -x1^2 + 6*x1 - 2   1   1   x1   0   -x1^2 + 6*x1 - 2                  0   x1^2 - x1]
  [0   1   1   -x1^2 + 6*x1 - 2   0   0    0   1             x1 - 1   -x1^2 + 6*x1 - 2    5*x1 - 2]
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 - 6*x1 + 2, x1, x1^2 - 7*x1 + 3, 5*x1 - 2, 2*x1^2 - 11*x1 + 3, 6*x1^3 - 34*x1^2 + 23*x1 - 4, x1^2 - 5*x1 + 1, 4*x1 - 1, 2*x1^2 - 7*x1 + 2, x1 - 1, x1 - 4, x1^3 - 9*x1^2 + 6*x1 - 1, x1^4 - 11*x1^3 + 34*x1^2 - 18*x1 + 3, x1^2 - 5*x1 + 2, 2*x1^2 - 6*x1 + 1]