The computation of invariants of linearly reductive group actions requires the use of Gröbner bases. These options allow partial control over the computation performed by invariants(LinearlyReductiveAction) and hilbertIdeal(LinearlyReductiveAction), allowing to terminate the computation after a certain number of invariants are obtained. For more information, see gb.
The source of this document is in InvariantRing/InvariantsDoc.m2:726:0.