candidate_required_fields: rank dimension count

policy_visibility: public

prompt: Compute exactly ∫_Gr(2,5) c_6(Sym^5 S*) by torus localization. Return the rank, dimension, and integer count.

split: dev


policy_visibility: public

prompt: Repeat the local Fano-section calculation for a scaled fifth jet and certify whether the obstruction is nonzero.

split: dev


policy_visibility: public

prompt: For a quadric threefold of index 3 with a 3-dimensional line family and d=8, compute the incidence codimension.

split: dev


policy_visibility: public

prompt: Compute the same Tor benchmark when both vertices and the edge are cut out only by linear equations.

split: dev


policy_visibility: public

prompt: Compute the normalized numerical semigroup generated by 3 and 4, including its Apéry set, Frobenius number, conductor, and bound test.

split: dev


policy_visibility: public

prompt: Compute the integral span index and verify the transvection for the supplied rank-four vanishing-cycle configuration.

split: dev


policy_visibility: public

prompt: Compute the integral homology of the two-term complex Z --2--> Z.

split: dev


policy_visibility: public

prompt: Verify strict filtration increase and compute the minimal exponent killing every product.

split: dev


policy_visibility: public

prompt: Compute the Smith invariants and character count for a cyclic order-four root-choice group.

split: dev


policy_visibility: public

prompt: Compute the first two higher-Hasse weights and cycle coefficient for p=5.

split: dev


policy_visibility: public

prompt: For p=5 and e=5, compute the p-primary annihilator and whether the dlog class is nonzero.

split: dev