The realization space is
  [1   1   0    2*x1 - 1   0   1   1          0      2*x1 - 1    1]
  [0   1   1   x1^2 - x1   0   0   1         x1     x1^2 - x1   x1]
  [0   0   0           0   1   1   1   2*x1 - 1   2*x1^2 - x1   x1]
in the multivariate polynomial ring in 1 variable over ZZ
within the vanishing set of the ideal
Ideal (-2*x1^10 + 7*x1^9 + 3*x1^8 - 35*x1^7 + 50*x1^6 - 31*x1^5 + 9*x1^4 - x1^3)
avoiding the zero loci of the polynomials
RingElem[x1, x1 - 1, 2*x1 - 1, x1^2 - 3*x1 + 1, 3*x1 - 1]