.. _complex_nilpotent_orbits.at_index: complex_nilpotent_orbits.at Function Index ======================================================= | Functions .. list-table:: :widths: 10 20 :header-rows: 1 * - Function - Argument(s) -> Results * - :ref:`root_datum_of_complexnilpotent_o->rootdatum1` - ``ComplexNilpotent O->RootDatum`` * - :ref:`semisimple_element_complexnilpotent_o->vec1` - ``ComplexNilpotent O->vec`` * - :ref:`dim_nilpotent_rootdatum_rd,ratvec_h->int1` - ``RootDatum rd,ratvec H->int`` * - :ref:`diagram_complexnilpotent_o->[int]1` - ``ComplexNilpotent O->[int]`` * - :ref:`dim_eigenspace_rootdatum_rd,_ratvec_h,_int_k->int1` - ``RootDatum rd, ratvec H, int k->int`` * - :ref:`max_eigenspace_rootdatum_rd,_ratvec_h->int1` - ``RootDatum rd, ratvec H->int`` * - :ref:`all_eigenspaces_rootdatum_rd,_ratvec_h->[int]1` - ``RootDatum rd, ratvec H->[int]`` * - :ref:`extract_even_[int]_v->for_i1` - ``[int] v->for i`` * - :ref:`extract_odd_[int]_v->for_i1` - ``[int] v->for i`` * - :ref:`even_eigenspaces_rootdatum_rd,_ratvec_h->[int]1` - ``RootDatum rd, ratvec H->[int]`` * - :ref:`odd_eigenspaces_rootdatum_rd,_ratvec_h->[int]1` - ``RootDatum rd, ratvec H->[int]`` * - :ref:`support_kgbelt_x->[int]1` - ``KGBElt x->[int]`` * - :ref:`support_param_p->[int]1` - ``Param p->[int]`` * - :ref:`blocku_realform_g->[param]1` - ``RealForm G->[Param]`` * - :ref:`sort_by_((vec,_rat)->_rat)_f->([(vec,rat)]_v)_[(vec,rat)]1` - ``((vec, rat)-> rat) f->([(vec,rat)] v) [(vec,rat)]`` * - :ref:`all_h_rootdatum_rd->[(vec,rat)]1` - ``RootDatum rd->[(vec,rat)]`` * - :ref:`all_h_dimensions_rootdatum_rd->[int]1` - ``RootDatum rd->[int]`` * - :ref:`sort_by_((ratvec,_[vec])->_int)_f->([(ratvec,[vec])]_v)_[(ratvec,[vec])]1` - ``((ratvec, [vec])-> int) f->([(ratvec,[vec])] v) [(ratvec,[vec])]`` * - :ref:`find_h_parabolic_p->[(vec,[vec])]1` - ``Parabolic P->[(vec,[vec])]`` * - :ref:`max_only_[(vec,[vec])]_arg->[(vec,[vec])]1` - ``[(vec,[vec])] arg->[(vec,[vec])]`` * - :ref:`<=_[int]_a,[int]_b->all(for_i1` - ``[int] a,[int] b->all(for i`` * - :ref:`principal_block_realform_g->block1` - ``RealForm G->Block`` * - :ref:`real_form_block_b->realform1` - ``Block B->RealForm`` * - :ref:`rho_block_b->ratvec1` - ``Block B->ratvec`` * - :ref:`choose_gamma_kgbelt_x,kgbelt_y->ratvec1` - ``KGBElt x,KGBElt y->ratvec`` * - :ref:`choose_gamma_block_b->ratvec1` - ``Block B->ratvec`` * - :ref:`convert_list_w_cells_block_b,ratvec_gamma,[[int]]_wcells->[[param]]1` - ``Block B,ratvec gamma,[[int]] Wcells->[[Param]]`` * - :ref:`tau_invariants_block_b->[[int]]1` - ``Block B->[[int]]`` * - :ref:`tau_invariants_of_cell_block_b,_[int]_cell->[(int,[int])]1` - ``Block B, [int] cell->[(int,[int])]`` * - :ref:`tau_invariants_of_cell_raw_block_b,_[int]_cell->[[int]]1` - ``Block B, [int] cell->[[int]]`` * - :ref:`tau_containing_block_b,[int]_p->[int]1` - ``Block B,[int] P->[int]`` * - :ref:`is_aq_param_p->bool1` - ``Param p->bool`` * - :ref:`blocku_realform_g->[int]1` - ``RealForm G->[int]`` * - :ref:`is_aq_cell_block_b,[int]_c->bool1` - ``Block B,[int] C->bool`` * - :ref:`is_aq_block_b,int_i->bool1` - ``Block B,int i->bool`` Data Types .. list-table:: :widths: 10 20 :header-rows: 1 * - Data Type Name - Definition * - :ref:`ComplexNilpotent1` - ``(RootDatum,vec)``