| D.7.1.1 invariant_ring | | generators of the invariant ring (i.r.) |
| D.7.1.2 invariant_ring_random | | generators of the i.r., randomized alg. |
| D.7.1.3 primary_invariants | | primary invariants (p.i.) |
| D.7.1.4 primary_invariants_random | | primary invariants, randomized alg. |
| D.7.1.5 invariant_algebra_reynolds | | minimal generating set for the invariant ring of a finite matrix group, in the non-modular case |
| D.7.1.6 invariant_algebra_perm | | minimal generating set for the invariant ring or a permutation group, in the non-modular case |
| D.7.1.7 cyclotomic | | cyclotomic polynomial |
| D.7.1.8 group_reynolds | | finite group and Reynolds operator (R.o.) |
| D.7.1.9 molien | | Molien series (M.s.) |
| D.7.1.10 reynolds_molien | | Reynolds operator and Molien series |
| D.7.1.11 partial_molien | | partial expansion of Molien series |
| D.7.1.12 evaluate_reynolds | | image under the Reynolds operator |
| D.7.1.13 invariant_basis | | basis of homogeneous invariants of a degree |
| D.7.1.14 invariant_basis_reynolds | | as invariant_basis(), with R.o. |
| D.7.1.15 primary_char0 | | primary invariants (p.i.) in char 0 |
| D.7.1.16 primary_charp | | primary invariants in char p |
| D.7.1.17 primary_char0_no_molien | | p.i., char 0, without Molien series |
| D.7.1.18 primary_charp_no_molien | | p.i., char p, without Molien series |
| D.7.1.19 primary_charp_without | | p.i., char p, without R.o. or Molien series |
| D.7.1.20 primary_char0_random | | primary invariants in char 0, randomized |
| D.7.1.21 primary_charp_random | | primary invariants in char p, randomized |
| D.7.1.22 primary_char0_no_molien_random | | p.i., char 0, without M.s., randomized |
| D.7.1.23 primary_charp_no_molien_random | | p.i., char p, without M.s., randomized |
| D.7.1.24 primary_charp_without_random | | p.i., char p, without R.o. or M.s., random. |
| D.7.1.25 power_products | | exponents for power products |
| D.7.1.26 secondary_char0 | | secondary invariants (s.i.) in char 0 |
| D.7.1.27 irred_secondary_char0 | | irreducible s.i. in char 0 |
| D.7.1.28 secondary_charp | | s.i. in char p, with Molien series and Reynolds operator |
| D.7.1.29 secondary_no_molien | | s.i., without Molien series but with Reynolds operator |
| D.7.1.30 irred_secondary_no_molien | | irreducible s.i., without Molien series but with Reynolds operator |
| D.7.1.31 secondary_and_irreducibles_no_molien | | s.i. & irreducible s.i., without M.s. |
| D.7.1.32 secondary_not_cohen_macaulay | | s.i. when the invariant ring is not Cohen-Macaulay |
| D.7.1.33 orbit_variety | | ideal of the orbit variety |
| D.7.1.34 rel_orbit_variety | | ideal of a relative orbit variety (new version) |
| D.7.1.35 relative_orbit_variety | | ideal of a relative orbit variety (old version) |
| D.7.1.36 image_of_variety | | ideal of the image of a variety orbit_sums orbit sums of a set of monomials under the action of a permutation group |
