R.= PolynomialRing(QQ) S = R.quotient(x^2 + 1) P = S.parent()
V = VectorSpace(GF(2), 3) W = V.subspace([ (1,0,1), (0,1,1) ]) P = W.parent()This code creates a vector space `V` over the finite field `GF(2)` with dimension 3. Then it creates a subspace `W` of `V` generated by the two vectors `(1,0,1)` and `(0,1,1)`. Finally, it creates a parent instance `P` that represents the subspace `W`. Package/Library: SageMath Overall, `Parent` is a fundamental class in SageMath that provides a way to represent mathematical objects such as rings, groups, fields, vector spaces, etc., and their substructures.