The realization space is
  [1   1   0      1   0   1   1        0      1         1    1]
  [0   1   1   2*x1   0   0   1       x1   2*x1        x1   x1]
  [0   0   0      0   1   1   1   x1 - 1     x1   -x1 + 1   x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-4*x1^6 + 16*x1^5 - 21*x1^4 + 11*x1^3 - 2*x1^2)
avoiding the zero loci of the polynomials
RingElem[x1, 2*x1 - 1, x1 - 1, 2, 3*x1 - 2, 3*x1 - 1, 3*x1^2 - 3*x1 + 1, 2*x1^2 - 2*x1 + 1, x1 - 2, x1^2 - 3*x1 + 1]