The realization space is
  [1   0   1   0   1    0      -x1      x1 - 1         -x1^4 + 2*x1^3 - x1^2   x1^2 - 2*x1 + 1        -3*x1 + 2]
  [0   1   1   0   0    1      -x1       -x1^2                -2*x1^4 + x1^3       2*x1^2 - x1      2*x1^2 - x1]
  [0   0   0   1   1   -1   x1 - 1   x1^2 - x1   x1^4 - 3*x1^3 + 3*x1^2 - x1    -3*x1^2 + 2*x1   -3*x1^2 + 2*x1]
in the multivariate polynomial ring in 1 variable over ZZ
avoiding the zero loci of the polynomials
RingElem[x1, x1^2 + x1 - 1, 2*x1 - 1, x1^3 + 4*x1^2 - 6*x1 + 2, x1^3 - 7*x1^2 + 7*x1 - 2, x1 - 1, 2, x1 - 2, x1^2 - 4*x1 + 2, 3*x1 - 2, x1^3 + 2*x1^2 - 3*x1 + 1]