Index A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | Z A additive_order() (sage.modules.fg_pid.fgp_element.FGP_Element method) (sage.modules.free_module_element.FreeModuleElement method) all_submodules() (sage.modules.torsion_quadratic_module.TorsionQuadraticModule method) ambient() (sage.modules.free_module.FreeModule_submodule_with_basis_pid method) (sage.modules.with_basis.subquotient.QuotientModuleWithBasis method) (sage.modules.with_basis.subquotient.SubmoduleWithBasis method) ambient_module() (sage.modules.free_module.FreeModule_ambient method) (sage.modules.free_module.FreeModule_submodule_with_basis_pid method) (sage.modules.free_quadratic_module.FreeQuadraticModule_generic method) (sage.modules.quotient_module.QuotientModule_free_ambient method) (sage.modules.submodule.Submodule_free_ambient method) ambient_vector_space() (sage.modules.filtered_vector_space.FilteredVectorSpace_class method) (sage.modules.free_module.FreeModule_ambient_domain method) (sage.modules.free_module.FreeModule_ambient_field method) (sage.modules.free_module.FreeModule_submodule_with_basis_pid method) (sage.modules.free_quadratic_module.FreeQuadraticModule_ambient_domain method) (sage.modules.multi_filtered_vector_space.MultiFilteredVectorSpace_class method) an_element() (sage.modules.fp_graded.free_module.FreeGradedModule method) (sage.modules.fp_graded.homspace.FPModuleHomspace method) (sage.modules.fp_graded.module.FPModule method) annihilator() (sage.modules.fg_pid.fgp_module.FGP_Module_class method) antisymmetrized_coordinate_sums() (in module sage.modules.tensor_operations) apply_map() (in module sage.modules.vector_symbolic_dense) (in module sage.modules.vector_symbolic_sparse) (sage.modules.free_module_element.FreeModuleElement method) approximate_closest_vector() (sage.modules.free_module_integer.FreeModule_submodule_with_basis_integer method) are_linearly_dependent() (sage.modules.free_module.FreeModule_generic method) automorphisms() (sage.modules.free_quadratic_module_integer_symmetric.FreeQuadraticModule_integer_symmetric method) B b() (sage.modules.torsion_quadratic_module.TorsionQuadraticModuleElement method) babai() (sage.modules.free_module_integer.FreeModule_submodule_with_basis_integer method) base_extend() (sage.modules.module.Module method) base_field() (sage.modules.free_module.FreeModule_ambient_field method) (sage.modules.free_module.FreeModule_generic method) base_ring() (sage.modules.fg_pid.fgp_module.FGP_Module_class method) (sage.modules.matrix_morphism.MatrixMorphism_abstract method) BaseIsomorphism1D (class in sage.modules.free_module_morphism) BaseIsomorphism1D_from_FM (class in sage.modules.free_module_morphism) BaseIsomorphism1D_to_FM (class in sage.modules.free_module_morphism) basis() (sage.modules.free_module.FreeModule_ambient method) (sage.modules.free_module.FreeModule_generic method) (sage.modules.free_module.FreeModule_submodule_with_basis_pid method) (sage.modules.free_module_homspace.FreeModuleHomspace method) (sage.modules.free_module_pseudohomspace.FreeModulePseudoHomspace method) basis_elements() (sage.modules.fp_graded.free_module.FreeGradedModule method) (sage.modules.fp_graded.homspace.FPModuleHomspace method) (sage.modules.fp_graded.module.FPModule method) basis_matrix() (sage.modules.free_module.FreeModule_generic method) basis_seq() (in module sage.modules.free_module) bilinear_form() (sage.modules.with_basis.cell_module.CellModule method) bilinear_form_matrix() (sage.modules.with_basis.cell_module.CellModule method) BKZ() (sage.modules.free_module_integer.FreeModule_submodule_with_basis_integer method) brauer_character() (sage.modules.with_basis.representation.Representation_abstract method) brown_invariant() (sage.modules.torsion_quadratic_module.TorsionQuadraticModule method) C calculate_voronoi_cell() (in module sage.modules.diamond_cutting) canonicalize_radical() (sage.modules.vector_symbolic_dense.Vector_symbolic_dense method) (sage.modules.vector_symbolic_sparse.Vector_symbolic_sparse method) cardinality() (sage.modules.fg_pid.fgp_module.FGP_Module_class method) (sage.modules.free_module.FreeModule_generic method) CellModule (class in sage.modules.with_basis.cell_module) CellModule.Element (class in sage.modules.with_basis.cell_module) cellular_algebra() (sage.modules.with_basis.cell_module.CellModule method) change_ring() (sage.modules.filtered_vector_space.FilteredVectorSpace_class method) (sage.modules.fp_graded.free_module.FreeGradedModule method) (sage.modules.fp_graded.module.FPModule method) (sage.modules.fp_graded.morphism.FPModuleMorphism method) (sage.modules.free_module.FreeModule_ambient method) (sage.modules.free_module.FreeModule_submodule_with_basis_pid method) (sage.modules.free_module_element.FreeModuleElement method) (sage.modules.free_module_morphism.FreeModuleMorphism method) (sage.modules.free_quadratic_module.FreeQuadraticModule_submodule_with_basis_pid method) (sage.modules.module.Module method) (sage.modules.multi_filtered_vector_space.MultiFilteredVectorSpace_class method) character() (sage.modules.with_basis.representation.Representation_abstract method) characteristic_polynomial() (sage.modules.matrix_morphism.MatrixMorphism_abstract method) charpoly() (sage.modules.matrix_morphism.MatrixMorphism_abstract method) closest_vector() (sage.modules.free_module_integer.FreeModule_submodule_with_basis_integer method) codimension() (sage.modules.free_module.FreeModule_generic method) codomain() (sage.modules.tensor_operations.TensorOperation method) cokernel_basis_indices() (sage.modules.with_basis.morphism.TriangularModuleMorphism method) cokernel_projection() (sage.modules.fp_graded.morphism.FPModuleMorphism method) (sage.modules.fp_graded.steenrod.morphism.SteenrodFPModuleMorphism method) (sage.modules.with_basis.morphism.TriangularModuleMorphism method) column() (sage.modules.free_module_element.FreeModuleElement method) complement() (sage.modules.free_module.FreeModule_generic_field method) complex_vector() (sage.modules.vector_double_dense.Vector_double_dense method) ComplexDoubleVectorSpace_class (class in sage.modules.free_module) composition_factors() (sage.modules.with_basis.representation.Representation_abstract method) composition_series() (sage.modules.with_basis.representation.Representation_abstract method) concatenate() (sage.modules.free_module_element.FreeModuleElement method) conjugate() (sage.modules.free_module_element.FreeModuleElement method) connectivity() (sage.modules.fp_graded.free_module.FreeGradedModule method) (sage.modules.fp_graded.module.FPModule method) construct_from_dim_degree() (in module sage.modules.filtered_vector_space) construct_from_generators() (in module sage.modules.filtered_vector_space) construct_from_generators_indices() (in module sage.modules.filtered_vector_space) construction() (sage.modules.fg_pid.fgp_module.FGP_Module_class method) (sage.modules.free_module.FreeModule_generic method) (sage.modules.free_module.FreeModule_submodule_with_basis_pid method) (sage.modules.with_basis.invariant.FiniteDimensionalInvariantModule method) coordinate_module() (sage.modules.free_module.FreeModule_generic method) coordinate_ring() (sage.modules.free_module.FreeModule_generic method) (sage.modules.free_module.Module_free_ambient method) (sage.modules.free_module_element.FreeModuleElement method) coordinate_vector() (sage.modules.fg_pid.fgp_module.FGP_Module_class method) (sage.modules.free_module.FreeModule_ambient method) (sage.modules.free_module.FreeModule_ambient_domain method) (sage.modules.free_module.FreeModule_generic method) (sage.modules.free_module.FreeModule_submodule_field method) (sage.modules.free_module.FreeModule_submodule_pid method) (sage.modules.free_module.FreeModule_submodule_with_basis_pid method) coordinates() (sage.modules.free_module.ComplexDoubleVectorSpace_class method) (sage.modules.free_module.FreeModule_generic method) (sage.modules.free_module.RealDoubleVectorSpace_class method) coreduced() (sage.modules.with_basis.morphism.TriangularModuleMorphism method) cover() (sage.modules.fg_pid.fgp_module.FGP_Module_class method) (sage.modules.quotient_module.FreeModule_ambient_field_quotient method) (sage.modules.quotient_module.QuotientModule_free_ambient method) create_key() (sage.modules.free_module.FreeModuleFactory method) create_object() (sage.modules.free_module.FreeModuleFactory method) cross_product() (sage.modules.free_module_element.FreeModuleElement method) cross_product_matrix() (sage.modules.free_module_element.FreeModuleElement method) curl() (sage.modules.free_module_element.FreeModuleElement method) D decomposition() (sage.modules.matrix_morphism.MatrixMorphism_abstract method) defining_homomorphism() (sage.modules.fp_graded.module.FPModule method) degree() (sage.modules.fp_graded.element.FPElement method) (sage.modules.fp_graded.free_element.FreeGradedModuleElement method) (sage.modules.fp_graded.free_morphism.FreeGradedModuleMorphism method) (sage.modules.fp_graded.morphism.FPModuleMorphism method) (sage.modules.free_module.Module_free_ambient method) (sage.modules.free_module_element.FreeModuleElement method) denominator() (sage.modules.free_module.FreeModule_generic_pid method) (sage.modules.free_module_element.FreeModuleElement method) (sage.modules.free_module_element.FreeModuleElement_generic_sparse method) dense_coefficient_list() (sage.modules.fp_graded.element.FPElement method) (sage.modules.fp_graded.free_element.FreeGradedModuleElement method) dense_module() (sage.modules.free_module.FreeModule_generic method) dense_vector() (sage.modules.free_module_element.FreeModuleElement method) derivative() (sage.modules.free_module_element.FreeModuleElement method) det() (sage.modules.matrix_morphism.MatrixMorphism_abstract method) determinant() (sage.modules.free_quadratic_module.FreeQuadraticModule_generic method) (sage.modules.matrix_morphism.MatrixMorphism_abstract method) DiagonalModuleMorphism (class in sage.modules.with_basis.morphism) diamond_cut() (in module sage.modules.diamond_cutting) dict() (sage.modules.free_module_element.FreeModuleElement method) (sage.modules.free_module_element.FreeModuleElement_generic_sparse method) diff() (sage.modules.free_module_element.FreeModuleElement method) dimension() (sage.modules.free_module.FreeModule_generic method) direct_sum() (sage.modules.filtered_vector_space.FilteredVectorSpace_class method) (sage.modules.free_module.FreeModule_generic method) (sage.modules.free_quadratic_module_integer_symmetric.FreeQuadraticModule_integer_symmetric method) (sage.modules.multi_filtered_vector_space.MultiFilteredVectorSpace_class method) discriminant() (sage.modules.free_module.FreeModule_generic method) (sage.modules.free_module_integer.FreeModule_submodule_with_basis_integer method) (sage.modules.free_quadratic_module.FreeQuadraticModule_generic method) discriminant_group() (sage.modules.free_quadratic_module_integer_symmetric.FreeQuadraticModule_integer_symmetric method) div() (sage.modules.free_module_element.FreeModuleElement method) dot_product() (sage.modules.free_module_element.FreeModuleElement method) dual() (sage.modules.filtered_vector_space.FilteredVectorSpace_class method) (sage.modules.multi_filtered_vector_space.MultiFilteredVectorSpace_class method) dual_lattice() (sage.modules.free_quadratic_module_integer_symmetric.FreeQuadraticModule_integer_symmetric method) E echelon_coordinate_vector() (sage.modules.free_module.FreeModule_ambient method) (sage.modules.free_module.FreeModule_submodule_with_basis_pid method) echelon_coordinates() (sage.modules.free_module.FreeModule_ambient method) (sage.modules.free_module.FreeModule_submodule_field method) (sage.modules.free_module.FreeModule_submodule_with_basis_pid method) echelon_to_user_matrix() (sage.modules.free_module.FreeModule_submodule_with_basis_pid method) echelonized_basis() (sage.modules.free_module.FreeModule_ambient method) (sage.modules.free_module.FreeModule_submodule_with_basis_pid method) echelonized_basis_matrix() (sage.modules.free_module.FreeModule_ambient method) (sage.modules.free_module.FreeModule_generic method) (sage.modules.free_module.FreeModule_generic_field method) (sage.modules.free_module.FreeModule_submodule_with_basis_pid method) EchelonMatrixKey (class in sage.modules.free_module) eigenspaces() (sage.modules.free_module_morphism.FreeModuleMorphism method) eigenvalues() (sage.modules.free_module_morphism.FreeModuleMorphism method) eigenvectors() (sage.modules.free_module_morphism.FreeModuleMorphism method) Element (sage.modules.fg_pid.fgp_module.FGP_Module_class attribute) (sage.modules.fg_pid.fgp_morphism.FGP_Homset_class attribute) (sage.modules.fp_graded.free_homspace.FreeGradedModuleHomspace attribute) (sage.modules.fp_graded.free_module.FreeGradedModule attribute) (sage.modules.fp_graded.homspace.FPModuleHomspace attribute) (sage.modules.fp_graded.module.FPModule attribute) (sage.modules.free_module_pseudohomspace.FreeModulePseudoHomspace attribute) (sage.modules.torsion_quadratic_module.TorsionQuadraticModule attribute) (sage.modules.with_basis.representation.QuotientRepresentation attribute) (sage.modules.with_basis.representation.SchurFunctorRepresentation attribute) element() (sage.modules.free_module_element.FreeModuleElement method) element_class() (in module sage.modules.free_module) element_from_coordinates() (sage.modules.fp_graded.free_module.FreeGradedModule method) (sage.modules.fp_graded.module.FPModule method) endomorphism_ring() (sage.modules.module.Module method) enumerate_close_vectors() (sage.modules.free_quadratic_module_integer_symmetric.FreeQuadraticModule_integer_symmetric method) enumerate_short_vectors() (sage.modules.free_quadratic_module_integer_symmetric.FreeQuadraticModule_integer_symmetric method) export_module_definition() (sage.modules.fp_graded.steenrod.module.SteenrodModuleMixin method) exterior_power() (sage.modules.filtered_vector_space.FilteredVectorSpace_class method) (sage.modules.multi_filtered_vector_space.MultiFilteredVectorSpace_class method) (sage.modules.with_basis.representation.Representation_abstract method) F fcp() (sage.modules.matrix_morphism.MatrixMorphism_abstract method) fft() (sage.modules.vector_double_dense.Vector_double_dense method) FGP_Element (class in sage.modules.fg_pid.fgp_element) FGP_Homset() (in module sage.modules.fg_pid.fgp_morphism) FGP_Homset_class (class in sage.modules.fg_pid.fgp_morphism) FGP_Module() (in module sage.modules.fg_pid.fgp_module) FGP_Module_class (class in sage.modules.fg_pid.fgp_module) FGP_Morphism (class in sage.modules.fg_pid.fgp_morphism) FilteredVectorSpace() (in module sage.modules.filtered_vector_space) FilteredVectorSpace_class (class in sage.modules.filtered_vector_space) find_subrepresentation() (sage.modules.with_basis.representation.Representation_abstract method) FiniteDimensionalInvariantModule (class in sage.modules.with_basis.invariant) FiniteDimensionalInvariantModule.Element (class in sage.modules.with_basis.invariant) FiniteDimensionalTwistedInvariantModule (class in sage.modules.with_basis.invariant) FiniteDimensionalTwistedInvariantModule.Element (class in sage.modules.with_basis.invariant) FiniteFieldsubspace_iterator (class in sage.modules.finite_submodule_iter) FiniteFieldsubspace_projPoint_iterator (class in sage.modules.finite_submodule_iter) FiniteZZsubmodule_iterator (class in sage.modules.finite_submodule_iter) fp_module() (sage.modules.fp_graded.free_morphism.FreeGradedModuleMorphism method) (sage.modules.fp_graded.morphism.FPModuleMorphism method) FPElement (class in sage.modules.fp_graded.element) FPModule (class in sage.modules.fp_graded.module) FPModuleHomspace (class in sage.modules.fp_graded.homspace) FPModuleMorphism (class in sage.modules.fp_graded.morphism) free_cover() (sage.modules.quotient_module.QuotientModule_free_ambient method) free_module() (sage.modules.free_module.FreeModule_generic method) free_module_element() (in module sage.modules.free_module_element) free_relations() (sage.modules.quotient_module.QuotientModule_free_ambient method) free_resolution() (sage.modules.free_module.Module_free_ambient method) FreeGradedModule (class in sage.modules.fp_graded.free_module) FreeGradedModuleElement (class in sage.modules.fp_graded.free_element) FreeGradedModuleHomspace (class in sage.modules.fp_graded.free_homspace) FreeGradedModuleMorphism (class in sage.modules.fp_graded.free_morphism) FreeModule() (in module sage.modules.free_module) FreeModule_ambient (class in sage.modules.free_module) FreeModule_ambient_domain (class in sage.modules.free_module) FreeModule_ambient_field (class in sage.modules.free_module) FreeModule_ambient_field_quotient (class in sage.modules.quotient_module) FreeModule_ambient_pid (class in sage.modules.free_module) FreeModule_generic (class in sage.modules.free_module) FreeModule_generic_domain (class in sage.modules.free_module) FreeModule_generic_field (class in sage.modules.free_module) FreeModule_generic_pid (class in sage.modules.free_module) FreeModule_submodule_field (class in sage.modules.free_module) FreeModule_submodule_pid (class in sage.modules.free_module) FreeModule_submodule_with_basis_field (class in sage.modules.free_module) FreeModule_submodule_with_basis_integer (class in sage.modules.free_module_integer) FreeModule_submodule_with_basis_pid (class in sage.modules.free_module) FreeModuleElement (class in sage.modules.free_module_element) FreeModuleElement_generic_dense (class in sage.modules.free_module_element) FreeModuleElement_generic_sparse (class in sage.modules.free_module_element) FreeModuleFactory (class in sage.modules.free_module) FreeModuleHomspace (class in sage.modules.free_module_homspace) FreeModuleMorphism (class in sage.modules.free_module_morphism) FreeModulePseudoHomspace (class in sage.modules.free_module_pseudohomspace) FreeModulePseudoMorphism (class in sage.modules.free_module_pseudomorphism) FreeQuadraticModule() (in module sage.modules.free_quadratic_module) FreeQuadraticModule_ambient (class in sage.modules.free_quadratic_module) FreeQuadraticModule_ambient_domain (class in sage.modules.free_quadratic_module) FreeQuadraticModule_ambient_field (class in sage.modules.free_quadratic_module) FreeQuadraticModule_ambient_pid (class in sage.modules.free_quadratic_module) FreeQuadraticModule_generic (class in sage.modules.free_quadratic_module) FreeQuadraticModule_generic_field (class in sage.modules.free_quadratic_module) FreeQuadraticModule_generic_pid (class in sage.modules.free_quadratic_module) FreeQuadraticModule_integer_symmetric (class in sage.modules.free_quadratic_module_integer_symmetric) FreeQuadraticModule_submodule_field (class in sage.modules.free_quadratic_module) FreeQuadraticModule_submodule_pid (class in sage.modules.free_quadratic_module) FreeQuadraticModule_submodule_with_basis_field (class in sage.modules.free_quadratic_module) FreeQuadraticModule_submodule_with_basis_pid (class in sage.modules.free_quadratic_module) function() (sage.modules.free_module_element.FreeModuleElement_generic_dense method) G gen() (sage.modules.fg_pid.fgp_module.FGP_Module_class method) (sage.modules.fp_graded.free_module.FreeGradedModule method) (sage.modules.fp_graded.module.FPModule method) (sage.modules.free_module.FreeModule_ambient method) (sage.modules.free_module.FreeModule_generic method) (sage.modules.quotient_module.QuotientModule_free_ambient method) (sage.modules.submodule.Submodule_free_ambient method) generator() (sage.modules.fp_graded.free_module.FreeGradedModule method) (sage.modules.fp_graded.module.FPModule method) generator_degrees() (sage.modules.fp_graded.free_module.FreeGradedModule method) (sage.modules.fp_graded.module.FPModule method) generators() (sage.modules.fp_graded.free_module.FreeGradedModule method) (sage.modules.fp_graded.module.FPModule method) generators_matrix() (sage.modules.submodule.Submodule_free_ambient method) gens() (sage.modules.fg_pid.fgp_module.FGP_Module_class method) (sage.modules.fp_graded.module.FPModule method) (sage.modules.free_module.FreeModule_generic method) (sage.modules.quotient_module.QuotientModule_free_ambient method) (sage.modules.submodule.Submodule_free_ambient method) (sage.modules.torsion_quadratic_module.TorsionQuadraticModule method) gens_to_smith() (sage.modules.fg_pid.fgp_module.FGP_Module_class method) gens_vector() (sage.modules.fg_pid.fgp_module.FGP_Module_class method) genus() (sage.modules.free_quadratic_module_integer_symmetric.FreeQuadraticModule_integer_symmetric method) (sage.modules.torsion_quadratic_module.TorsionQuadraticModule method) get() (sage.modules.free_module_element.FreeModuleElement method) get_degree() (sage.modules.filtered_vector_space.FilteredVectorSpace_class method) (sage.modules.multi_filtered_vector_space.MultiFilteredVectorSpace_class method) get_filtration() (sage.modules.multi_filtered_vector_space.MultiFilteredVectorSpace_class method) graded() (sage.modules.filtered_vector_space.FilteredVectorSpace_class method) (sage.modules.multi_filtered_vector_space.MultiFilteredVectorSpace_class method) graded_free_resolution() (sage.modules.free_module.Module_free_ambient method) gram_matrix() (sage.modules.free_module.FreeModule_generic method) (sage.modules.free_quadratic_module.FreeQuadraticModule_generic method) gram_matrix_bilinear() (sage.modules.torsion_quadratic_module.TorsionQuadraticModule method) gram_matrix_quadratic() (sage.modules.torsion_quadratic_module.TorsionQuadraticModule method) gram_schmidt() (in module sage.modules.misc) H hamming_weight() (sage.modules.free_module_element.FreeModuleElement method) (sage.modules.free_module_element.FreeModuleElement_generic_sparse method) (sage.modules.vector_mod2_dense.Vector_mod2_dense method) has_canonical_map_to() (sage.modules.fg_pid.fgp_module.FGP_Module_class method) has_relations() (sage.modules.fp_graded.free_module.FreeGradedModule method) (sage.modules.fp_graded.module.FPModule method) has_user_basis() (sage.modules.free_module.FreeModule_generic method) (sage.modules.free_module.FreeModule_submodule_field method) (sage.modules.free_module.FreeModule_submodule_pid method) (sage.modules.free_module.FreeModule_submodule_with_basis_pid method) hermitian_inner_product() (sage.modules.free_module_element.FreeModuleElement method) HKZ() (sage.modules.free_module_integer.FreeModule_submodule_with_basis_integer method) hom() (sage.modules.fg_pid.fgp_module.FGP_Module_class method) (sage.modules.free_module.FreeModule_generic method) homology() (sage.modules.fp_graded.morphism.FPModuleMorphism method) I identity() (sage.modules.fp_graded.homspace.FPModuleHomspace method) (sage.modules.free_module_homspace.FreeModuleHomspace method) im_gens() (sage.modules.fg_pid.fgp_morphism.FGP_Morphism method) image() (sage.modules.fg_pid.fgp_morphism.FGP_Morphism method) (sage.modules.fp_graded.morphism.FPModuleMorphism method) (sage.modules.fp_graded.steenrod.morphism.SteenrodFPModuleMorphism method) (sage.modules.matrix_morphism.MatrixMorphism_abstract method) index_in() (sage.modules.free_module.FreeModule_generic_pid method) index_in_saturation() (sage.modules.free_module.FreeModule_generic_pid method) index_map() (sage.modules.tensor_operations.TensorOperation method) index_set() (sage.modules.multi_filtered_vector_space.MultiFilteredVectorSpace_class method) IndexedFreeModuleElement (class in sage.modules.with_basis.indexed_element) inner_product() (sage.modules.free_module_element.FreeModuleElement method) (sage.modules.torsion_quadratic_module.TorsionQuadraticModuleElement method) inner_product_matrix() (sage.modules.free_module.FreeModule_generic method) (sage.modules.free_quadratic_module.FreeQuadraticModule_generic method) InnerProductSpace() (in module sage.modules.free_quadratic_module) IntegerLattice() (in module sage.modules.free_module_integer) integral() (sage.modules.free_module_element.FreeModuleElement method) IntegralLattice() (in module sage.modules.free_quadratic_module_integer_symmetric) IntegralLatticeDirectSum() (in module sage.modules.free_quadratic_module_integer_symmetric) IntegralLatticeGluing() (in module sage.modules.free_quadratic_module_integer_symmetric) integrate() (sage.modules.free_module_element.FreeModuleElement method) intersection() (sage.modules.free_module.FreeModule_generic_field method) (sage.modules.free_module.FreeModule_generic_pid method) (sage.modules.with_basis.subquotient.SubmoduleWithBasis method) inv_fft() (sage.modules.vector_double_dense.Vector_double_dense method) invariant_module() (sage.modules.with_basis.representation.Representation_abstract method) invariants() (sage.modules.fg_pid.fgp_module.FGP_Module_class method) inverse() (sage.modules.matrix_morphism.MatrixMorphism_abstract method) inverse_image() (sage.modules.fg_pid.fgp_morphism.FGP_Morphism method) (sage.modules.free_module_morphism.FreeModuleMorphism method) is_ambient() (sage.modules.free_module.FreeModule_ambient method) (sage.modules.free_module.FreeModule_generic method) (sage.modules.free_module.FreeModule_submodule_with_basis_field method) is_bijective() (sage.modules.matrix_morphism.MatrixMorphism_abstract method) is_constant() (sage.modules.filtered_vector_space.FilteredVectorSpace_class method) (sage.modules.multi_filtered_vector_space.MultiFilteredVectorSpace_class method) is_dense() (sage.modules.free_module.FreeModule_generic method) (sage.modules.free_module_element.FreeModuleElement method) is_equal_function() (sage.modules.matrix_morphism.MatrixMorphism_abstract method) is_equal_subspace() (sage.modules.with_basis.subquotient.SubmoduleWithBasis method) is_even() (sage.modules.free_quadratic_module_integer_symmetric.FreeQuadraticModule_integer_symmetric method) is_exact() (sage.modules.free_module.Module_free_ambient method) is_exhaustive() (sage.modules.filtered_vector_space.FilteredVectorSpace_class method) (sage.modules.multi_filtered_vector_space.MultiFilteredVectorSpace_class method) is_FGP_Module() (in module sage.modules.fg_pid.fgp_module) is_FilteredVectorSpace() (in module sage.modules.filtered_vector_space) is_finite() (sage.modules.fg_pid.fgp_module.FGP_Module_class method) (sage.modules.free_module.FreeModule_generic method) is_FreeModule() (in module sage.modules.free_module) is_FreeModuleElement() (in module sage.modules.free_module_element) is_FreeModuleHomspace() (in module sage.modules.free_module_homspace) is_FreeModuleMorphism() (in module sage.modules.free_module_morphism) is_FreeQuadraticModule() (in module sage.modules.free_quadratic_module) is_full() (sage.modules.free_module.FreeModule_generic method) is_genus() (sage.modules.torsion_quadratic_module.TorsionQuadraticModule method) is_identity() (sage.modules.fp_graded.morphism.FPModuleMorphism method) (sage.modules.matrix_morphism.MatrixMorphism_abstract method) is_injective() (sage.modules.fp_graded.morphism.FPModuleMorphism method) (sage.modules.fp_graded.steenrod.morphism.SteenrodFPModuleMorphism method) (sage.modules.free_module_morphism.BaseIsomorphism1D method) (sage.modules.matrix_morphism.MatrixMorphism method) is_invertible() (sage.modules.vector_space_morphism.VectorSpaceMorphism method) is_irreducible() (sage.modules.with_basis.representation.Representation_abstract method) is_MatrixMorphism() (in module sage.modules.matrix_morphism) is_Module() (in module sage.modules.module) is_primitive() (sage.modules.free_quadratic_module_integer_symmetric.FreeQuadraticModule_integer_symmetric method) is_separating() (sage.modules.filtered_vector_space.FilteredVectorSpace_class method) (sage.modules.multi_filtered_vector_space.MultiFilteredVectorSpace_class method) is_sparse() (sage.modules.free_module.Module_free_ambient method) (sage.modules.free_module_element.FreeModuleElement method) is_submodule() (sage.modules.fg_pid.fgp_module.FGP_Module_class method) (sage.modules.free_module.FreeModule_generic method) (sage.modules.free_module.Module_free_ambient method) (sage.modules.with_basis.subquotient.SubmoduleWithBasis method) is_subspace() (sage.modules.free_module.FreeModule_generic_field method) is_surjective() (sage.modules.fp_graded.morphism.FPModuleMorphism method) (sage.modules.free_module_morphism.BaseIsomorphism1D method) (sage.modules.matrix_morphism.MatrixMorphism method) is_trivial() (sage.modules.fp_graded.free_module.FreeGradedModule method) (sage.modules.fp_graded.module.FPModule method) is_unimodular() (sage.modules.free_module_integer.FreeModule_submodule_with_basis_integer method) is_vector() (sage.modules.free_module_element.FreeModuleElement method) is_VectorSpace() (in module sage.modules.module) is_VectorSpaceHomspace() (in module sage.modules.vector_space_homspace) is_VectorSpaceMorphism() (in module sage.modules.vector_space_morphism) is_zero() (sage.modules.fp_graded.morphism.FPModuleMorphism method) (sage.modules.matrix_morphism.MatrixMorphism_abstract method) items() (sage.modules.free_module_element.FreeModuleElement method) (sage.modules.free_module_element.FreeModuleElement_generic_sparse method) iteritems() (sage.modules.free_module_element.FreeModuleElement method) (sage.modules.free_module_element.FreeModuleElement_generic_sparse method) J jacobi() (in module sage.modules.diamond_cutting) K kernel() (sage.modules.fg_pid.fgp_morphism.FGP_Morphism method) (sage.modules.matrix_morphism.MatrixMorphism_abstract method) kernel_inclusion() (sage.modules.fp_graded.morphism.FPModuleMorphism method) (sage.modules.fp_graded.steenrod.morphism.SteenrodFPModuleMorphism method) L lift() (sage.modules.fg_pid.fgp_element.FGP_Element method) (sage.modules.fg_pid.fgp_morphism.FGP_Morphism method) (sage.modules.fp_graded.morphism.FPModuleMorphism method) (sage.modules.free_module.FreeModule_submodule_with_basis_pid method) (sage.modules.free_module_element.FreeModuleElement method) (sage.modules.free_module_morphism.FreeModuleMorphism method) (sage.modules.quotient_module.FreeModule_ambient_field_quotient method) (sage.modules.with_basis.subquotient.QuotientModuleWithBasis method) (sage.modules.with_basis.subquotient.SubmoduleWithBasis method) lift_centered() (sage.modules.free_module_element.FreeModuleElement method) lift_map() (sage.modules.quotient_module.FreeModule_ambient_field_quotient method) lift_to_free() (sage.modules.fp_graded.element.FPElement method) (sage.modules.fp_graded.free_element.FreeGradedModuleElement method) linear_combination_of_basis() (sage.modules.free_module.FreeModule_ambient method) (sage.modules.free_module.FreeModule_submodule_with_basis_pid method) linear_combination_of_smith_form_gens() (sage.modules.fg_pid.fgp_module.FGP_Module_class method) linear_dependence() (sage.modules.free_module.FreeModule_generic_field method) linear_transformation() (in module sage.modules.vector_space_morphism) list() (sage.modules.fg_pid.fgp_module.FGP_Module_class method) (sage.modules.free_module_element.FreeModuleElement method) (sage.modules.free_module_element.FreeModuleElement_generic_dense method) (sage.modules.free_module_element.FreeModuleElement_generic_sparse method) (sage.modules.vector_integer_dense.Vector_integer_dense method) (sage.modules.vector_mod2_dense.Vector_mod2_dense method) (sage.modules.vector_rational_dense.Vector_rational_dense method) list_from_positions() (sage.modules.free_module_element.FreeModuleElement method) LLL() (sage.modules.free_module_integer.FreeModule_submodule_with_basis_integer method) (sage.modules.free_quadratic_module_integer_symmetric.FreeQuadraticModule_integer_symmetric method) lll() (sage.modules.free_quadratic_module_integer_symmetric.FreeQuadraticModule_integer_symmetric method) local_modification() (in module sage.modules.free_quadratic_module_integer_symmetric) M make_FreeModuleElement_generic_dense() (in module sage.modules.free_module_element) make_FreeModuleElement_generic_dense_v1() (in module sage.modules.free_module_element) make_FreeModuleElement_generic_sparse() (in module sage.modules.free_module_element) make_FreeModuleElement_generic_sparse_v1() (in module sage.modules.free_module_element) matrix() (sage.modules.free_module.FreeModule_generic method) (sage.modules.free_module_pseudomorphism.FreeModulePseudoMorphism method) (sage.modules.matrix_morphism.MatrixMorphism method) (sage.modules.matrix_morphism.MatrixMorphism_abstract method) (sage.modules.submodule.Submodule_free_ambient method) matrix_space() (sage.modules.free_module_pseudohomspace.FreeModulePseudoHomspace method) MatrixMorphism (class in sage.modules.matrix_morphism) MatrixMorphism_abstract (class in sage.modules.matrix_morphism) max() (sage.modules.free_quadratic_module_integer_symmetric.FreeQuadraticModule_integer_symmetric method) max_degree() (sage.modules.filtered_vector_space.FilteredVectorSpace_class method) (sage.modules.multi_filtered_vector_space.MultiFilteredVectorSpace_class method) maximal_overlattice() (sage.modules.free_quadratic_module_integer_symmetric.FreeQuadraticModule_integer_symmetric method) maximum() (sage.modules.free_quadratic_module_integer_symmetric.FreeQuadraticModule_integer_symmetric method) mean() (sage.modules.vector_double_dense.Vector_double_dense method) min() (sage.modules.free_quadratic_module_integer_symmetric.FreeQuadraticModule_integer_symmetric method) min_degree() (sage.modules.filtered_vector_space.FilteredVectorSpace_class method) (sage.modules.multi_filtered_vector_space.MultiFilteredVectorSpace_class method) minimal_presentation() (sage.modules.fp_graded.free_module.FreeGradedModule method) (sage.modules.fp_graded.module.FPModule method) minimum() (sage.modules.free_quadratic_module_integer_symmetric.FreeQuadraticModule_integer_symmetric method) Mod() (sage.modules.free_module_element.FreeModuleElement method) module sage.modules.complex_double_vector sage.modules.diamond_cutting sage.modules.fg_pid.fgp_element sage.modules.fg_pid.fgp_module sage.modules.fg_pid.fgp_morphism sage.modules.filtered_vector_space sage.modules.finite_submodule_iter sage.modules.fp_graded.element sage.modules.fp_graded.free_element sage.modules.fp_graded.free_homspace sage.modules.fp_graded.free_module sage.modules.fp_graded.free_morphism sage.modules.fp_graded.homspace sage.modules.fp_graded.module sage.modules.fp_graded.morphism sage.modules.fp_graded.steenrod.module sage.modules.fp_graded.steenrod.morphism sage.modules.free_module sage.modules.free_module_element sage.modules.free_module_homspace sage.modules.free_module_integer sage.modules.free_module_morphism sage.modules.free_module_pseudohomspace sage.modules.free_module_pseudomorphism sage.modules.free_quadratic_module sage.modules.free_quadratic_module_integer_symmetric sage.modules.matrix_morphism sage.modules.misc sage.modules.module sage.modules.multi_filtered_vector_space sage.modules.quotient_module sage.modules.real_double_vector sage.modules.submodule sage.modules.tensor_operations sage.modules.torsion_quadratic_module sage.modules.tutorial_free_modules sage.modules.vector_callable_symbolic_dense sage.modules.vector_complex_double_dense sage.modules.vector_double_dense sage.modules.vector_integer_dense sage.modules.vector_integer_sparse sage.modules.vector_mod2_dense sage.modules.vector_modn_dense sage.modules.vector_modn_sparse sage.modules.vector_numpy_dense sage.modules.vector_numpy_integer_dense sage.modules.vector_rational_dense sage.modules.vector_rational_sparse sage.modules.vector_real_double_dense sage.modules.vector_space_homspace sage.modules.vector_space_morphism sage.modules.vector_symbolic_dense sage.modules.vector_symbolic_sparse sage.modules.with_basis.all sage.modules.with_basis.cell_module sage.modules.with_basis.indexed_element sage.modules.with_basis.invariant sage.modules.with_basis.morphism sage.modules.with_basis.representation sage.modules.with_basis.subquotient Module (class in sage.modules.module) Module_free_ambient (class in sage.modules.free_module) ModuleMorphism (class in sage.modules.with_basis.morphism) ModuleMorphismByLinearity (class in sage.modules.with_basis.morphism) ModuleMorphismFromFunction (class in sage.modules.with_basis.morphism) ModuleMorphismFromMatrix (class in sage.modules.with_basis.morphism) monic() (sage.modules.free_module_element.FreeModuleElement method) monomial() (sage.modules.fp_graded.module.FPModule method) monomial_coefficients() (sage.modules.free_module_element.FreeModuleElement method) (sage.modules.with_basis.indexed_element.IndexedFreeModuleElement method) MultiFilteredVectorSpace() (in module sage.modules.multi_filtered_vector_space) MultiFilteredVectorSpace_class (class in sage.modules.multi_filtered_vector_space) N n_vectors() (sage.modules.tensor_operations.VectorCollection method) NaturalMatrixRepresentation (class in sage.modules.with_basis.representation) ngens() (sage.modules.fg_pid.fgp_module.FGP_Module_class method) (sage.modules.free_module.FreeModule_generic method) nintegral() (sage.modules.free_module_element.FreeModuleElement method) nintegrate() (sage.modules.free_module_element.FreeModuleElement method) nonembedded_free_module() (sage.modules.free_module.FreeModule_generic method) nonzero_bilinear_form() (sage.modules.with_basis.cell_module.CellModule method) nonzero_positions() (sage.modules.free_module_element.FreeModuleElement method) (sage.modules.free_module_element.FreeModuleElement_generic_sparse method) norm() (sage.modules.free_module_element.FreeModuleElement method) (sage.modules.vector_double_dense.Vector_double_dense method) normal_form() (sage.modules.torsion_quadratic_module.TorsionQuadraticModule method) normalize() (sage.modules.fp_graded.element.FPElement method) normalize_degree() (in module sage.modules.filtered_vector_space) normalized() (sage.modules.free_module_element.FreeModuleElement method) nullity() (sage.modules.matrix_morphism.MatrixMorphism_abstract method) numerical_approx() (sage.modules.free_module_element.FreeModuleElement method) (sage.modules.free_module_element.FreeModuleElement_generic_sparse method) numpy() (sage.modules.free_module_element.FreeModuleElement method) (sage.modules.vector_numpy_dense.Vector_numpy_dense method) O on_basis() (sage.modules.with_basis.morphism.ModuleMorphismByLinearity method) one_basis() (sage.modules.with_basis.representation.Representation_ExteriorAlgebra method) optimized() (sage.modules.fg_pid.fgp_module.FGP_Module_class method) ore_module() (sage.modules.free_module_pseudomorphism.FreeModulePseudoMorphism method) ore_ring() (sage.modules.free_module_pseudohomspace.FreeModulePseudoHomspace method) orthogonal_complement() (sage.modules.free_quadratic_module_integer_symmetric.FreeQuadraticModule_integer_symmetric method) orthogonal_group() (sage.modules.free_quadratic_module_integer_symmetric.FreeQuadraticModule_integer_symmetric method) (sage.modules.torsion_quadratic_module.TorsionQuadraticModule method) orthogonal_submodule_to() (sage.modules.torsion_quadratic_module.TorsionQuadraticModule method) outer_product() (sage.modules.free_module_element.FreeModuleElement method) overlattice() (sage.modules.free_quadratic_module_integer_symmetric.FreeQuadraticModule_integer_symmetric method) P pairwise_product() (sage.modules.free_module_element.FreeModuleElement method) plane_inequality() (in module sage.modules.diamond_cutting) plot() (sage.modules.free_module_element.FreeModuleElement method) plot_step() (sage.modules.free_module_element.FreeModuleElement method) pointwise_inverse() (sage.modules.with_basis.morphism.PointwiseInverseFunction method) pointwise_inverse_function() (in module sage.modules.with_basis.morphism) PointwiseInverseFunction (class in sage.modules.with_basis.morphism) preimage() (sage.modules.tensor_operations.TensorOperation method) (sage.modules.with_basis.morphism.TriangularModuleMorphism method) preimage_representative() (sage.modules.free_module_morphism.FreeModuleMorphism method) prepare() (in module sage.modules.free_module_element) presentation() (sage.modules.filtered_vector_space.FilteredVectorSpace_class method) primary_part() (sage.modules.torsion_quadratic_module.TorsionQuadraticModule method) prod() (sage.modules.vector_double_dense.Vector_double_dense method) product_by_coercion() (sage.modules.with_basis.representation.Representation method) product_on_basis() (sage.modules.with_basis.representation.Representation_ExteriorAlgebra method) profile() (sage.modules.fp_graded.steenrod.module.SteenrodModuleMixin method) (sage.modules.fp_graded.steenrod.morphism.SteenrodFPModuleMorphism method) project() (sage.modules.with_basis.invariant.FiniteDimensionalTwistedInvariantModule method) project_ambient() (sage.modules.with_basis.invariant.FiniteDimensionalTwistedInvariantModule method) projection_matrix() (sage.modules.with_basis.invariant.FiniteDimensionalTwistedInvariantModule method) pseudoHom() (sage.modules.free_module.FreeModule_generic method) pseudohom() (sage.modules.free_module.FreeModule_generic method) pushforward() (sage.modules.free_module_morphism.FreeModuleMorphism method) Q q() (sage.modules.torsion_quadratic_module.TorsionQuadraticModuleElement method) quadratic_form() (sage.modules.free_quadratic_module_integer_symmetric.FreeQuadraticModule_integer_symmetric method) quadratic_product() (sage.modules.torsion_quadratic_module.TorsionQuadraticModuleElement method) QuadraticSpace() (in module sage.modules.free_quadratic_module) quotient_abstract() (sage.modules.free_module.FreeModule_generic_field method) quotient_map() (sage.modules.fg_pid.fgp_module.FGP_Module_class method) (sage.modules.quotient_module.FreeModule_ambient_field_quotient method) quotient_module() (sage.modules.free_module.FreeModule_generic_field method) (sage.modules.free_module.FreeModule_generic_pid method) (sage.modules.free_module.Module_free_ambient method) quotient_representation() (sage.modules.with_basis.representation.Representation_abstract method) QuotientModule_free_ambient (class in sage.modules.quotient_module) QuotientModuleWithBasis (class in sage.modules.with_basis.subquotient) QuotientRepresentation (class in sage.modules.with_basis.representation) R radical() (sage.modules.with_basis.cell_module.CellModule method) radical_basis() (sage.modules.with_basis.cell_module.CellModule method) random_deformation() (sage.modules.filtered_vector_space.FilteredVectorSpace_class method) (sage.modules.multi_filtered_vector_space.MultiFilteredVectorSpace_class method) random_element() (sage.modules.fg_pid.fgp_module.FGP_Module_class method) (sage.modules.free_module.FreeModule_ambient method) (sage.modules.free_module.FreeModule_generic method) random_fgp_module() (in module sage.modules.fg_pid.fgp_module) random_fgp_morphism_0() (in module sage.modules.fg_pid.fgp_module) random_vector() (in module sage.modules.free_module_element) rank() (sage.modules.free_module.FreeModule_generic method) (sage.modules.matrix_morphism.MatrixMorphism_abstract method) RealDoubleVectorSpace_class (class in sage.modules.free_module) reduce() (sage.modules.with_basis.subquotient.SubmoduleWithBasis method) reduced_basis (sage.modules.free_module_integer.FreeModule_submodule_with_basis_integer property) ReflectionRepresentation (class in sage.modules.with_basis.representation) RegularRepresentation (class in sage.modules.with_basis.representation) relation() (sage.modules.fp_graded.module.FPModule method) relations() (sage.modules.fg_pid.fgp_module.FGP_Module_class method) (sage.modules.fp_graded.free_module.FreeGradedModule method) (sage.modules.fp_graded.module.FPModule method) (sage.modules.free_module.FreeModule_generic method) (sage.modules.free_module.FreeModule_submodule_with_basis_pid method) (sage.modules.quotient_module.FreeModule_ambient_field_quotient method) (sage.modules.quotient_module.QuotientModule_free_ambient method) (sage.modules.submodule.Submodule_free_ambient method) relations_matrix() (sage.modules.free_module.Module_free_ambient method) Representation (class in sage.modules.with_basis.representation) Representation_abstract (class in sage.modules.with_basis.representation) Representation_abstract.Element (class in sage.modules.with_basis.representation) Representation_Exterior (class in sage.modules.with_basis.representation) Representation_ExteriorAlgebra (class in sage.modules.with_basis.representation) representation_matrix() (sage.modules.with_basis.representation.Representation_abstract method) Representation_Symmetric (class in sage.modules.with_basis.representation) Representation_Tensor (class in sage.modules.with_basis.representation) Representation_Tensor.Element (class in sage.modules.with_basis.representation) resolution() (sage.modules.fp_graded.free_module.FreeGradedModule method) (sage.modules.fp_graded.module.FPModule method) (sage.modules.fp_graded.steenrod.module.SteenrodFPModule method) restrict() (sage.modules.matrix_morphism.MatrixMorphism_abstract method) restrict_codomain() (sage.modules.matrix_morphism.MatrixMorphism_abstract method) restrict_domain() (sage.modules.matrix_morphism.MatrixMorphism_abstract method) retract() (sage.modules.free_module.FreeModule_submodule_with_basis_pid method) (sage.modules.with_basis.subquotient.QuotientModuleWithBasis method) (sage.modules.with_basis.subquotient.SubmoduleWithBasis method) row() (sage.modules.free_module_element.FreeModuleElement method) S sage.modules.complex_double_vector module sage.modules.diamond_cutting module sage.modules.fg_pid.fgp_element module sage.modules.fg_pid.fgp_module module sage.modules.fg_pid.fgp_morphism module sage.modules.filtered_vector_space module sage.modules.finite_submodule_iter module sage.modules.fp_graded.element module sage.modules.fp_graded.free_element module sage.modules.fp_graded.free_homspace module sage.modules.fp_graded.free_module module sage.modules.fp_graded.free_morphism module sage.modules.fp_graded.homspace module sage.modules.fp_graded.module module sage.modules.fp_graded.morphism module sage.modules.fp_graded.steenrod.module module sage.modules.fp_graded.steenrod.morphism module sage.modules.free_module module sage.modules.free_module_element module sage.modules.free_module_homspace module sage.modules.free_module_integer module sage.modules.free_module_morphism module sage.modules.free_module_pseudohomspace module sage.modules.free_module_pseudomorphism module sage.modules.free_quadratic_module module sage.modules.free_quadratic_module_integer_symmetric module sage.modules.matrix_morphism module sage.modules.misc module sage.modules.module module sage.modules.multi_filtered_vector_space module sage.modules.quotient_module module sage.modules.real_double_vector module sage.modules.submodule module sage.modules.tensor_operations module sage.modules.torsion_quadratic_module module sage.modules.tutorial_free_modules module sage.modules.vector_callable_symbolic_dense module sage.modules.vector_complex_double_dense module sage.modules.vector_double_dense module sage.modules.vector_integer_dense module sage.modules.vector_integer_sparse module sage.modules.vector_mod2_dense module sage.modules.vector_modn_dense module sage.modules.vector_modn_sparse module sage.modules.vector_numpy_dense module sage.modules.vector_numpy_integer_dense module sage.modules.vector_rational_dense module sage.modules.vector_rational_sparse module sage.modules.vector_real_double_dense module sage.modules.vector_space_homspace module sage.modules.vector_space_morphism module sage.modules.vector_symbolic_dense module sage.modules.vector_symbolic_sparse module sage.modules.with_basis.all module sage.modules.with_basis.cell_module module sage.modules.with_basis.indexed_element module sage.modules.with_basis.invariant module sage.modules.with_basis.morphism module sage.modules.with_basis.representation module sage.modules.with_basis.subquotient module saturation() (sage.modules.free_module.FreeModule_generic_pid method) scale() (sage.modules.free_module.FreeModule_generic method) (sage.modules.free_module.FreeModule_generic_field method) schur_functor() (sage.modules.with_basis.representation.Representation_abstract method) SchurFunctorRepresentation (class in sage.modules.with_basis.representation) section() (sage.modules.with_basis.morphism.TriangularModuleMorphism method) semigroup() (sage.modules.with_basis.invariant.FiniteDimensionalInvariantModule method) (sage.modules.with_basis.representation.Representation_abstract method) semigroup_algebra() (sage.modules.with_basis.representation.Representation_abstract method) semigroup_representation() (sage.modules.with_basis.invariant.FiniteDimensionalInvariantModule method) set() (sage.modules.free_module_element.FreeModuleElement method) shift() (sage.modules.filtered_vector_space.FilteredVectorSpace_class method) (sage.modules.multi_filtered_vector_space.MultiFilteredVectorSpace_class method) short_vectors() (sage.modules.free_quadratic_module_integer_symmetric.FreeQuadraticModule_integer_symmetric method) shortest_vector() (sage.modules.free_module_integer.FreeModule_submodule_with_basis_integer method) side() (sage.modules.free_module_pseudomorphism.FreeModulePseudoMorphism method) (sage.modules.matrix_morphism.MatrixMorphism_abstract method) (sage.modules.with_basis.representation.Representation_abstract method) side_switch() (sage.modules.free_module_pseudomorphism.FreeModulePseudoMorphism method) (sage.modules.matrix_morphism.MatrixMorphism_abstract method) signature() (sage.modules.free_quadratic_module_integer_symmetric.FreeQuadraticModule_integer_symmetric method) signature_pair() (sage.modules.free_quadratic_module_integer_symmetric.FreeQuadraticModule_integer_symmetric method) SignRepresentation_abstract (class in sage.modules.with_basis.representation) SignRepresentationCoxeterGroup (class in sage.modules.with_basis.representation) SignRepresentationMatrixGroup (class in sage.modules.with_basis.representation) SignRepresentationPermgroup (class in sage.modules.with_basis.representation) simple_module() (sage.modules.with_basis.cell_module.CellModule method) SimpleModule (class in sage.modules.with_basis.cell_module) SimpleModule.Element (class in sage.modules.with_basis.cell_module) simplify() (sage.modules.vector_symbolic_dense.Vector_symbolic_dense method) (sage.modules.vector_symbolic_sparse.Vector_symbolic_sparse method) simplify_factorial() (sage.modules.vector_symbolic_dense.Vector_symbolic_dense method) (sage.modules.vector_symbolic_sparse.Vector_symbolic_sparse method) simplify_full() (sage.modules.vector_symbolic_dense.Vector_symbolic_dense method) (sage.modules.vector_symbolic_sparse.Vector_symbolic_sparse method) simplify_log() (sage.modules.vector_symbolic_dense.Vector_symbolic_dense method) (sage.modules.vector_symbolic_sparse.Vector_symbolic_sparse method) simplify_rational() (sage.modules.vector_symbolic_dense.Vector_symbolic_dense method) (sage.modules.vector_symbolic_sparse.Vector_symbolic_sparse method) simplify_trig() (sage.modules.vector_symbolic_dense.Vector_symbolic_dense method) (sage.modules.vector_symbolic_sparse.Vector_symbolic_sparse method) smith_form_gen() (sage.modules.fg_pid.fgp_module.FGP_Module_class method) smith_form_gens() (sage.modules.fg_pid.fgp_module.FGP_Module_class method) smith_to_gens() (sage.modules.fg_pid.fgp_module.FGP_Module_class method) solve() (sage.modules.fp_graded.morphism.FPModuleMorphism method) some_elements() (sage.modules.free_module.Module_free_ambient method) span() (in module sage.modules.free_module) (sage.modules.free_module.Module_free_ambient method) (sage.modules.free_quadratic_module.FreeQuadraticModule_generic_field method) (sage.modules.free_quadratic_module.FreeQuadraticModule_generic_pid method) span_of_basis() (sage.modules.free_module.FreeModule_generic_field method) (sage.modules.free_module.FreeModule_generic_pid method) (sage.modules.free_quadratic_module.FreeQuadraticModule_generic_field method) (sage.modules.free_quadratic_module.FreeQuadraticModule_generic_pid method) sparse_module() (sage.modules.free_module.FreeModule_generic method) sparse_vector() (sage.modules.free_module_element.FreeModuleElement method) split() (sage.modules.fp_graded.morphism.FPModuleMorphism method) standard_deviation() (sage.modules.vector_double_dense.Vector_double_dense method) stats_kurtosis() (sage.modules.vector_double_dense.Vector_double_dense method) stats_skew() (sage.modules.vector_real_double_dense.Vector_real_double_dense method) SteenrodFPModule (class in sage.modules.fp_graded.steenrod.module) SteenrodFPModuleMorphism (class in sage.modules.fp_graded.steenrod.morphism) SteenrodFreeModule (class in sage.modules.fp_graded.steenrod.module) SteenrodFreeModuleMorphism (class in sage.modules.fp_graded.steenrod.morphism) SteenrodModuleMixin (class in sage.modules.fp_graded.steenrod.module) sublattice() (sage.modules.free_quadratic_module_integer_symmetric.FreeQuadraticModule_integer_symmetric method) submodule() (sage.modules.fg_pid.fgp_module.FGP_Module_class method) (sage.modules.free_module.Module_free_ambient method) Submodule_free_ambient (class in sage.modules.submodule) submodule_inclusion() (sage.modules.fp_graded.module.FPModule method) submodule_with_basis() (sage.modules.free_module.FreeModule_generic_pid method) submodule_with_gens() (sage.modules.torsion_quadratic_module.TorsionQuadraticModule method) SubmoduleWithBasis (class in sage.modules.with_basis.subquotient) Subrepresentation (class in sage.modules.with_basis.representation) subrepresentation() (sage.modules.with_basis.representation.Representation_abstract method) Subrepresentation.Element (class in sage.modules.with_basis.representation) subs() (sage.modules.free_module_element.FreeModuleElement method) subspace() (sage.modules.free_module.FreeModule_generic_field method) (sage.modules.with_basis.subquotient.SubmoduleWithBasis method) subspace_sum() (sage.modules.with_basis.subquotient.SubmoduleWithBasis method) subspace_with_basis() (sage.modules.free_module.FreeModule_generic_field method) subspaces() (sage.modules.free_module.FreeModule_generic_field method) sum() (sage.modules.vector_double_dense.Vector_double_dense method) support() (sage.modules.filtered_vector_space.FilteredVectorSpace_class method) (sage.modules.free_module_element.FreeModuleElement method) (sage.modules.multi_filtered_vector_space.MultiFilteredVectorSpace_class method) suspension() (sage.modules.fp_graded.free_module.FreeGradedModule method) (sage.modules.fp_graded.module.FPModule method) (sage.modules.fp_graded.morphism.FPModuleMorphism method) symmetric_power() (sage.modules.filtered_vector_space.FilteredVectorSpace_class method) (sage.modules.multi_filtered_vector_space.MultiFilteredVectorSpace_class method) (sage.modules.with_basis.representation.Representation_abstract method) symmetrized_coordinate_sums() (in module sage.modules.tensor_operations) T Tensor (sage.modules.with_basis.representation.Representation_abstract attribute) tensor_product() (sage.modules.filtered_vector_space.FilteredVectorSpace_class method) (sage.modules.free_module_element.FreeModuleElement method) (sage.modules.free_quadratic_module_integer_symmetric.FreeQuadraticModule_integer_symmetric method) (sage.modules.multi_filtered_vector_space.MultiFilteredVectorSpace_class method) TensorOperation (class in sage.modules.tensor_operations) to_vector() (sage.modules.with_basis.indexed_element.IndexedFreeModuleElement method) TorsionQuadraticForm() (in module sage.modules.torsion_quadratic_module) TorsionQuadraticModule (class in sage.modules.torsion_quadratic_module) TorsionQuadraticModuleElement (class in sage.modules.torsion_quadratic_module) trace() (sage.modules.matrix_morphism.MatrixMorphism_abstract method) TriangularModuleMorphism (class in sage.modules.with_basis.morphism) TriangularModuleMorphismByLinearity (class in sage.modules.with_basis.morphism) TriangularModuleMorphismFromFunction (class in sage.modules.with_basis.morphism) trig_expand() (sage.modules.vector_symbolic_dense.Vector_symbolic_dense method) (sage.modules.vector_symbolic_sparse.Vector_symbolic_sparse method) trig_reduce() (sage.modules.vector_symbolic_dense.Vector_symbolic_dense method) (sage.modules.vector_symbolic_sparse.Vector_symbolic_sparse method) TrivialRepresentation (class in sage.modules.with_basis.representation) TrivialRepresentation.Element (class in sage.modules.with_basis.representation) twist() (sage.modules.free_quadratic_module_integer_symmetric.FreeQuadraticModule_integer_symmetric method) (sage.modules.torsion_quadratic_module.TorsionQuadraticModule method) twisted_invariant_module() (sage.modules.with_basis.representation.Representation_abstract method) twisting_derivation() (sage.modules.free_module_pseudomorphism.FreeModulePseudoMorphism method) twisting_morphism() (sage.modules.free_module_pseudomorphism.FreeModulePseudoMorphism method) U unpickle_v0() (in module sage.modules.vector_complex_double_dense) (in module sage.modules.vector_integer_dense) (in module sage.modules.vector_mod2_dense) (in module sage.modules.vector_modn_dense) (in module sage.modules.vector_rational_dense) (in module sage.modules.vector_real_double_dense) unpickle_v1() (in module sage.modules.vector_complex_double_dense) (in module sage.modules.vector_integer_dense) (in module sage.modules.vector_modn_dense) (in module sage.modules.vector_rational_dense) (in module sage.modules.vector_real_double_dense) update_reduced_basis() (sage.modules.free_module_integer.FreeModule_submodule_with_basis_integer method) user_to_echelon_matrix() (sage.modules.free_module.FreeModule_submodule_with_basis_pid method) uses_ambient_inner_product() (sage.modules.free_module.FreeModule_generic method) V V() (sage.modules.fg_pid.fgp_module.FGP_Module_class method) (sage.modules.quotient_module.FreeModule_ambient_field_quotient method) (sage.modules.quotient_module.QuotientModule_free_ambient method) value_module() (sage.modules.torsion_quadratic_module.TorsionQuadraticModule method) value_module_qf() (sage.modules.torsion_quadratic_module.TorsionQuadraticModule method) values() (sage.modules.fp_graded.morphism.FPModuleMorphism method) variance() (sage.modules.vector_double_dense.Vector_double_dense method) vector() (in module sage.modules.free_module_element) (sage.modules.fg_pid.fgp_element.FGP_Element method) Vector_callable_symbolic_dense (class in sage.modules.vector_callable_symbolic_dense) Vector_complex_double_dense (class in sage.modules.vector_complex_double_dense) Vector_double_dense (class in sage.modules.vector_double_dense) Vector_integer_dense (class in sage.modules.vector_integer_dense) Vector_mod2_dense (class in sage.modules.vector_mod2_dense) Vector_modn_dense (class in sage.modules.vector_modn_dense) Vector_numpy_dense (class in sage.modules.vector_numpy_dense) Vector_numpy_integer_dense (class in sage.modules.vector_numpy_integer_dense) vector_presentation() (sage.modules.fp_graded.element.FPElement method) (sage.modules.fp_graded.free_element.FreeGradedModuleElement method) (sage.modules.fp_graded.free_module.FreeGradedModule method) (sage.modules.fp_graded.module.FPModule method) (sage.modules.fp_graded.morphism.FPModuleMorphism method) Vector_rational_dense (class in sage.modules.vector_rational_dense) Vector_real_double_dense (class in sage.modules.vector_real_double_dense) vector_space() (sage.modules.free_module.FreeModule_ambient_domain method) (sage.modules.free_module.FreeModule_generic_field method) (sage.modules.free_module.FreeModule_submodule_with_basis_pid method) vector_space_span() (sage.modules.free_module.FreeModule_generic_pid method) vector_space_span_of_basis() (sage.modules.free_module.FreeModule_generic_pid method) Vector_symbolic_dense (class in sage.modules.vector_symbolic_dense) Vector_symbolic_sparse (class in sage.modules.vector_symbolic_sparse) VectorCollection (class in sage.modules.tensor_operations) vectors() (sage.modules.tensor_operations.VectorCollection method) VectorSpace() (in module sage.modules.free_module) VectorSpaceHomspace (class in sage.modules.vector_space_homspace) VectorSpaceMorphism (class in sage.modules.vector_space_morphism) volume() (sage.modules.free_module_integer.FreeModule_submodule_with_basis_integer method) voronoi_cell() (sage.modules.free_module_integer.FreeModule_submodule_with_basis_integer method) voronoi_relevant_vectors() (sage.modules.free_module_integer.FreeModule_submodule_with_basis_integer method) W W() (sage.modules.fg_pid.fgp_module.FGP_Module_class method) (sage.modules.quotient_module.FreeModule_ambient_field_quotient method) (sage.modules.quotient_module.QuotientModule_free_ambient method) wedge() (sage.modules.filtered_vector_space.FilteredVectorSpace_class method) (sage.modules.multi_filtered_vector_space.MultiFilteredVectorSpace_class method) Z zero() (sage.modules.fp_graded.homspace.FPModuleHomspace method) (sage.modules.fp_graded.module.FPModule method) (sage.modules.free_module.Module_free_ambient method) (sage.modules.free_module_homspace.FreeModuleHomspace method) zero_at() (sage.modules.vector_double_dense.Vector_double_dense method) zero_submodule() (sage.modules.free_module.FreeModule_generic_field method) (sage.modules.free_module.FreeModule_generic_pid method) (sage.modules.free_module.Module_free_ambient method) (sage.modules.free_quadratic_module.FreeQuadraticModule_generic_pid method) zero_subspace() (sage.modules.free_module.FreeModule_generic_field method) zero_vector() (in module sage.modules.free_module_element) (sage.modules.free_module.Module_free_ambient method)