Index _ | A | B | C | D | E | F | G | H | I | L | M | N | O | P | Q | R | S | T | U | V | W | X _ __add__() (sage.structure.element.Element method) __call__() (sage.structure.parent.Parent method) __contains__() (sage.structure.parent.Parent method) __floordiv__() (sage.structure.element.Element method) __mod__() (sage.structure.element.Element method) __mul__() (sage.structure.element.Element method) (sage.structure.parent.Parent method) __neg__() (sage.structure.element.Element method) __sub__() (sage.structure.element.Element method) __truediv__() (sage.structure.element.Element method) _an_element_() (sage.structure.parent.Parent method) _ascii_art_() (sage.structure.sage_object.SageObject method) _cache_key() (sage.structure.sage_object.SageObject method) _coerce_map_from_() (sage.structure.parent.Parent method) _convert_map_from_() (sage.structure.parent.Parent method) _get_action_() (sage.structure.parent.Parent method) _init_category_() (sage.structure.parent.Parent method) _is_coercion_cached() (sage.structure.parent.Parent method) _is_conversion_cached() (sage.structure.parent.Parent method) _populate_coercion_lists_() (sage.structure.parent.Parent method) _repr_option() (sage.structure.parent.Parent method) _richcmp_() (sage.structure.element.Element method) A A (class in sage.structure.test_factory) abelian_iterator() (in module sage.structure.gens_py) abs() (sage.structure.element.RingElement method) add1_immutable() (in module sage.structure.list_clone_timings) add1_internal() (in module sage.structure.list_clone_timings) add1_mutable() (in module sage.structure.list_clone_timings) add1_with() (in module sage.structure.list_clone_timings) add_constraints() (sage.structure.set_factories.SetFactory method) (sage.structure.set_factories_example.XYPairsFactory method) additive_order() (sage.structure.element.ModuleElement method) (sage.structure.element.RingElement method) AdditiveGroupElement (class in sage.structure.element) AlgebraElement (class in sage.structure.element) AllPairs (class in sage.structure.set_factories_example) an_element() (sage.structure.parent.Parent method) (sage.structure.set_factories_example.Pairs_Y method) (sage.structure.set_factories_example.PairsX_ method) append() (sage.structure.element_wrapper.ElementWrapperTester method) (sage.structure.list_clone.ClonableList method) (sage.structure.sequence.Sequence_generic method) B BareFunctionPolicy (class in sage.structure.set_factories) base() (sage.structure.category_object.CategoryObject method) base_change() (sage.structure.factorization.Factorization method) base_extend() (sage.structure.element.Element method) (sage.structure.formal_sum.FormalSums method) (sage.structure.parent_base.ParentWithBase method) base_ring() (sage.structure.category_object.CategoryObject method) (sage.structure.element.Element method) bin_op() (in module sage.structure.element) bla() (sage.structure.dynamic_class.TestClass method) C CachedRepresentation (class in sage.structure.unique_representation) canonical_coercion() (in module sage.structure.element) categories() (sage.structure.category_object.CategoryObject method) category() (sage.structure.category_object.CategoryObject method) (sage.structure.element.Element method) (sage.structure.parent.Parent method) (sage.structure.sage_object.SageObject method) CategoryObject (class in sage.structure.category_object) certify_names() (in module sage.structure.category_object) check() (sage.structure.list_clone.ClonableArray method) (sage.structure.list_clone.ClonableIntArray method) (sage.structure.list_clone_demo.IncreasingArray method) (sage.structure.list_clone_demo.IncreasingIntArray method) (sage.structure.list_clone_demo.IncreasingList method) (sage.structure.list_clone_demo.SortedList method) (sage.structure.list_clone_timings.IncreasingArraysPy.Element method) check_default_category() (in module sage.structure.category_object) check_element() (sage.structure.set_factories.ParentWithSetFactory method) (sage.structure.set_factories_example.AllPairs method) (sage.structure.set_factories_example.Pairs_Y method) (sage.structure.set_factories_example.PairsX_ method) (sage.structure.set_factories_example.SingletonPair method) ClonableArray (class in sage.structure.list_clone) ClonableElement (class in sage.structure.list_clone) ClonableIntArray (class in sage.structure.list_clone) ClonableList (class in sage.structure.list_clone) clone() (sage.structure.list_clone.ClonableElement method) coerce() (sage.structure.parent.Parent method) coerce_binop() (in module sage.structure.element) coerce_embedding() (sage.structure.parent.Parent method) coerce_map_from() (sage.structure.parent.Parent method) coercion_traceback() (in module sage.structure.element) CommutativeAlgebraElement (class in sage.structure.element) CommutativeRingElement (class in sage.structure.element) constraints() (sage.structure.set_factories.ParentWithSetFactory method) convert_map_from() (sage.structure.parent.Parent method) count() (sage.structure.list_clone.ClonableArray method) create_key() (sage.structure.factory.UniqueFactory method) (sage.structure.test_factory.UniqueFactoryTester method) create_key_and_extra_args() (sage.structure.factory.UniqueFactory method) create_object() (sage.structure.factory.UniqueFactory method) (sage.structure.test_factory.UniqueFactoryTester method) cy_add1_immutable() (in module sage.structure.list_clone_timings_cy) cy_add1_internal() (in module sage.structure.list_clone_timings_cy) cy_add1_mutable() (in module sage.structure.list_clone_timings_cy) cy_add1_with() (in module sage.structure.list_clone_timings_cy) D DebugOptions_class (class in sage.structure.debug_options) DedekindDomainElement (class in sage.structure.element) default_prec() (sage.structure.nonexact.Nonexact method) degree() (sage.structure.element.EuclideanDomainElement method) divides() (sage.structure.element.CommutativeRingElement method) (sage.structure.element.FieldElement method) DummyParent (class in sage.structure.element_wrapper) dump() (sage.structure.sage_object.SageObject method) dumps() (sage.structure.sage_object.SageObject method) dynamic_class() (in module sage.structure.dynamic_class) dynamic_class_internal() (in module sage.structure.dynamic_class) DynamicClasscallMetaclass (class in sage.structure.dynamic_class) DynamicInheritComparisonClasscallMetaclass (class in sage.structure.dynamic_class) DynamicInheritComparisonMetaclass (class in sage.structure.dynamic_class) DynamicMetaclass (class in sage.structure.dynamic_class) E Element (class in sage.structure.element) (sage.structure.formal_sum.FormalSums attribute) (sage.structure.list_clone_demo.IncreasingArrays attribute) (sage.structure.list_clone_demo.IncreasingIntArrays attribute) (sage.structure.list_clone_demo.IncreasingLists attribute) (sage.structure.list_clone_demo.SortedLists attribute) element_class() (sage.structure.parent.Parent method) element_constructor_attributes() (sage.structure.set_factories.BareFunctionPolicy method) (sage.structure.set_factories.FacadeParentPolicy method) (sage.structure.set_factories.SelfParentPolicy method) (sage.structure.set_factories.SetFactoryPolicy method) (sage.structure.set_factories.TopMostParentPolicy method) ElementWithCachedMethod (class in sage.structure.element) ElementWrapper (class in sage.structure.element_wrapper) ElementWrapperCheckWrappedClass (class in sage.structure.element_wrapper) ElementWrapperTester (class in sage.structure.element_wrapper) EltPair (class in sage.structure.parent) EuclideanDomainElement (class in sage.structure.element) expand() (sage.structure.factorization.Factorization method) Expression (class in sage.structure.element) extend() (sage.structure.list_clone.ClonableList method) (sage.structure.sequence.Sequence_generic method) F facade_element_constructor_attributes() (sage.structure.set_factories.SetFactoryPolicy method) facade_policy() (sage.structure.set_factories.ParentWithSetFactory method) FacadeParentPolicy (class in sage.structure.set_factories) Factorization (class in sage.structure.factorization) factory() (sage.structure.set_factories.ParentWithSetFactory method) (sage.structure.set_factories.SetFactoryPolicy method) FieldElement (class in sage.structure.element) FormalSum (class in sage.structure.formal_sum) FormalSums (class in sage.structure.formal_sum) G gcd() (sage.structure.element.PrincipalIdealDomainElement method) (sage.structure.factorization.Factorization method) gen() (sage.structure.parent_gens.ParentWithGens method) generic_factory_reduce() (in module sage.structure.factory) generic_factory_unpickle() (in module sage.structure.factory) gens() (sage.structure.parent_gens.ParentWithGens method) gens_dict() (sage.structure.category_object.CategoryObject method) gens_dict_recursive() (sage.structure.category_object.CategoryObject method) get_action() (sage.structure.parent.Parent method) get_coercion_model() (in module sage.structure.element) get_custom_name() (sage.structure.sage_object.SageObject method) get_flag() (in module sage.structure.proof.proof) get_object() (sage.structure.factory.UniqueFactory method) get_version() (sage.structure.factory.UniqueFactory method) GlobalOptions (class in sage.structure.global_options) GlobalOptionsMeta (class in sage.structure.global_options) GlobalOptionsMetaMeta (class in sage.structure.global_options) H has_coerce_map_from() (sage.structure.parent.Parent method) have_same_parent() (in module sage.structure.element) Hom() (sage.structure.category_object.CategoryObject method) (sage.structure.parent.Parent method) hom() (sage.structure.parent.Parent method) (sage.structure.parent_gens.ParentWithGens method) I IncreasingArray (class in sage.structure.list_clone_demo) IncreasingArrays (class in sage.structure.list_clone_demo) IncreasingArraysPy (class in sage.structure.list_clone_timings) IncreasingArraysPy.Element (class in sage.structure.list_clone_timings) IncreasingIntArray (class in sage.structure.list_clone_demo) IncreasingIntArrays (class in sage.structure.list_clone_demo) IncreasingList (class in sage.structure.list_clone_demo) IncreasingLists (class in sage.structure.list_clone_demo) index() (sage.structure.list_clone.ClonableArray method) (sage.structure.list_clone.ClonableIntArray method) IndexedGenerators (class in sage.structure.indexed_generators) indices() (sage.structure.indexed_generators.IndexedGenerators method) InfinityElement (class in sage.structure.element) inject_variables() (sage.structure.category_object.CategoryObject method) insert() (sage.structure.list_clone.ClonableList method) (sage.structure.sequence.Sequence_generic method) IntegerFactorization (class in sage.structure.factorization_integer) IntegralDomainElement (class in sage.structure.element) inverse_mod() (sage.structure.element.CommutativeRingElement method) is_AdditiveGroupElement() (in module sage.structure.element) is_AlgebraElement() (in module sage.structure.element) is_commutative() (sage.structure.factorization.Factorization method) is_CommutativeAlgebraElement() (in module sage.structure.element) is_CommutativeRingElement() (in module sage.structure.element) is_DedekindDomainElement() (in module sage.structure.element) is_Element() (in module sage.structure.element) is_EuclideanDomainElement() (in module sage.structure.element) is_exact() (sage.structure.parent.Parent method) is_FieldElement() (in module sage.structure.element) is_immutable() (sage.structure.element.ModuleElementWithMutability method) (sage.structure.list_clone.ClonableElement method) (sage.structure.mutability.Mutability method) (sage.structure.sequence.Sequence_generic method) is_InfinityElement() (in module sage.structure.element) is_integral() (sage.structure.factorization.Factorization method) is_IntegralDomainElement() (in module sage.structure.element) is_Matrix() (in module sage.structure.element) is_ModuleElement() (in module sage.structure.element) is_MonoidElement() (in module sage.structure.element) is_MultiplicativeGroupElement() (in module sage.structure.element) is_mutable() (sage.structure.element.ModuleElementWithMutability method) (sage.structure.list_clone.ClonableElement method) (sage.structure.mutability.Mutability method) (sage.structure.sequence.Sequence_generic method) is_nilpotent() (sage.structure.element.IntegralDomainElement method) (sage.structure.element.RingElement method) is_one() (sage.structure.element.RingElement method) is_Parent() (in module sage.structure.parent) is_prime() (sage.structure.element.RingElement method) is_PrincipalIdealDomainElement() (in module sage.structure.element) is_RingElement() (in module sage.structure.element) is_square() (sage.structure.element.CommutativeRingElement method) is_unit() (sage.structure.element.FieldElement method) is_Vector() (in module sage.structure.element) is_zero() (sage.structure.element.Element method) L latex_name() (sage.structure.category_object.CategoryObject method) latex_variable_names() (sage.structure.category_object.CategoryObject method) lcm() (sage.structure.element.PrincipalIdealDomainElement method) (sage.structure.factorization.Factorization method) leading_coefficient() (sage.structure.element.EuclideanDomainElement method) list() (sage.structure.list_clone.ClonableIntArray method) localvars (class in sage.structure.parent_gens) lookup_global() (in module sage.structure.factory) M M (in module sage.structure.dynamic_class) make_element() (in module sage.structure.element) Matrix (class in sage.structure.element) mod() (sage.structure.element.CommutativeRingElement method) module sage.misc.proof sage.structure.category_object sage.structure.debug_options sage.structure.dynamic_class sage.structure.element sage.structure.element_wrapper sage.structure.factorization sage.structure.factorization_integer sage.structure.factory sage.structure.formal_sum sage.structure.gens_py sage.structure.global_options sage.structure.indexed_generators sage.structure.list_clone sage.structure.list_clone_demo sage.structure.list_clone_timings sage.structure.list_clone_timings_cy sage.structure.mutability sage.structure.nonexact sage.structure.parent sage.structure.parent_base sage.structure.parent_gens sage.structure.parent_old sage.structure.proof.proof sage.structure.richcmp sage.structure.sage_object sage.structure.sequence sage.structure.set_factories sage.structure.set_factories_example sage.structure.test_factory sage.structure.unique_representation ModuleElement (class in sage.structure.element) ModuleElementWithMutability (class in sage.structure.element) MonoidElement (class in sage.structure.element) multiplicative_iterator() (in module sage.structure.gens_py) multiplicative_order() (sage.structure.element.MonoidElement method) (sage.structure.element.RingElement method) MultiplicativeGroupElement (class in sage.structure.element) Mutability (class in sage.structure.mutability) N n() (sage.structure.element.Element method) ngens() (sage.structure.parent_gens.ParentWithGens method) Nonexact (class in sage.structure.nonexact) normalize() (sage.structure.list_clone.NormalizedClonableList method) (sage.structure.list_clone_demo.SortedList method) normalize_names() (in module sage.structure.category_object) NormalizedClonableList (class in sage.structure.list_clone) numerical_approx() (sage.structure.element.Element method) O object() (sage.structure.parent.Set_generic method) objgen() (sage.structure.category_object.CategoryObject method) objgens() (sage.structure.category_object.CategoryObject method) Option (class in sage.structure.global_options) order() (sage.structure.element.AdditiveGroupElement method) (sage.structure.element.ModuleElement method) (sage.structure.element.MonoidElement method) (sage.structure.element.MultiplicativeGroupElement method) other_keys() (sage.structure.factory.UniqueFactory method) P Pairs_Y (class in sage.structure.set_factories_example) pairs_y() (sage.structure.set_factories_example.AllPairs method) PairsX_ (class in sage.structure.set_factories_example) Parent (class in sage.structure.parent) (class in sage.structure.parent_old) parent() (in module sage.structure.element) (sage.structure.element.Element method) (sage.structure.sage_object.SageObject method) ParentWithBase (class in sage.structure.parent_base) ParentWithGens (class in sage.structure.parent_gens) ParentWithSetFactory (class in sage.structure.set_factories) parse_indices_names() (in module sage.structure.indexed_generators) policy() (sage.structure.set_factories.ParentWithSetFactory method) pop() (sage.structure.list_clone.ClonableList method) (sage.structure.sequence.Sequence_generic method) powers() (sage.structure.element.MonoidElement method) (sage.structure.element.RingElement method) prefix() (sage.structure.indexed_generators.IndexedGenerators method) PrincipalIdealDomainElement (class in sage.structure.element) print_options() (sage.structure.indexed_generators.IndexedGenerators method) prod() (sage.structure.factorization.Factorization method) Q quo_rem() (sage.structure.element.EuclideanDomainElement method) (sage.structure.element.FieldElement method) R radical() (sage.structure.factorization.Factorization method) radical_value() (sage.structure.factorization.Factorization method) reduce() (sage.structure.formal_sum.FormalSum method) reduce_data() (sage.structure.factory.UniqueFactory method) refine_category_hash_check (sage.structure.debug_options.DebugOptions_class attribute) register_action() (sage.structure.parent.Parent method) register_coercion() (sage.structure.parent.Parent method) register_conversion() (sage.structure.parent.Parent method) register_embedding() (sage.structure.parent.Parent method) register_factory_unpickle() (in module sage.structure.factory) remove() (sage.structure.list_clone.ClonableList method) (sage.structure.sequence.Sequence_generic method) rename() (sage.structure.sage_object.SageObject method) require_immutable() (in module sage.structure.mutability) require_mutable() (in module sage.structure.mutability) reset_name() (sage.structure.sage_object.SageObject method) reverse() (sage.structure.sequence.Sequence_generic method) revop() (in module sage.structure.richcmp) rich_to_bool() (in module sage.structure.richcmp) rich_to_bool_sgn() (in module sage.structure.richcmp) richcmp() (in module sage.structure.richcmp) richcmp_by_eq_and_lt() (in module sage.structure.richcmp) richcmp_item() (in module sage.structure.richcmp) richcmp_method() (in module sage.structure.richcmp) richcmp_not_equal() (in module sage.structure.richcmp) RingElement (class in sage.structure.element) S sage.misc.proof module sage.structure.category_object module sage.structure.debug_options module sage.structure.dynamic_class module sage.structure.element module sage.structure.element_wrapper module sage.structure.factorization module sage.structure.factorization_integer module sage.structure.factory module sage.structure.formal_sum module sage.structure.gens_py module sage.structure.global_options module sage.structure.indexed_generators module sage.structure.list_clone module sage.structure.list_clone_demo module sage.structure.list_clone_timings module sage.structure.list_clone_timings_cy module sage.structure.mutability module sage.structure.nonexact module sage.structure.parent module sage.structure.parent_base module sage.structure.parent_gens module sage.structure.parent_old module sage.structure.proof.proof module sage.structure.richcmp module sage.structure.sage_object module sage.structure.sequence module sage.structure.set_factories module sage.structure.set_factories_example module sage.structure.test_factory module sage.structure.unique_representation module SageObject (class in sage.structure.sage_object) save() (sage.structure.sage_object.SageObject method) self_element_constructor_attributes() (sage.structure.set_factories.SetFactoryPolicy method) SelfParentPolicy (class in sage.structure.set_factories) seq() (in module sage.structure.sequence) Sequence() (in module sage.structure.sequence) Sequence_generic (class in sage.structure.sequence) Set_generic (class in sage.structure.parent) set_immutable() (sage.structure.element.ModuleElementWithMutability method) (sage.structure.list_clone.ClonableElement method) (sage.structure.mutability.Mutability method) (sage.structure.sequence.Sequence_generic method) SetFactory (class in sage.structure.set_factories) SetFactoryPolicy (class in sage.structure.set_factories) short_repr() (sage.structure.parent.EltPair method) simplify() (sage.structure.factorization.Factorization method) single_pair() (sage.structure.set_factories_example.Pairs_Y method) SingletonPair (class in sage.structure.set_factories_example) sort() (sage.structure.factorization.Factorization method) (sage.structure.sequence.Sequence_generic method) SortedList (class in sage.structure.list_clone_demo) SortedLists (class in sage.structure.list_clone_demo) split_index_keywords() (in module sage.structure.indexed_generators) sqrt() (sage.structure.element.CommutativeRingElement method) standardize_names_index_set() (in module sage.structure.indexed_generators) subs() (sage.structure.element.Element method) (sage.structure.factorization.Factorization method) subset() (sage.structure.set_factories.ParentWithSetFactory method) substitute() (sage.structure.element.Element method) T TestClass (class in sage.structure.dynamic_class) TopMostParentPolicy (class in sage.structure.set_factories) U unique_parent_warnings (sage.structure.debug_options.DebugOptions_class attribute) UniqueFactory (class in sage.structure.factory) UniqueFactoryTester (class in sage.structure.test_factory) UniqueRepresentation (class in sage.structure.unique_representation) unit() (sage.structure.factorization.Factorization method) universe() (sage.structure.factorization.Factorization method) (sage.structure.sequence.Sequence_generic method) unreduce() (in module sage.structure.unique_representation) V value (sage.structure.element_wrapper.ElementWrapper attribute) value() (sage.structure.factorization.Factorization method) variable_name() (sage.structure.category_object.CategoryObject method) variable_names() (sage.structure.category_object.CategoryObject method) Vector (class in sage.structure.element) W WithPicklingByInitArgs (class in sage.structure.unique_representation) WithProof (class in sage.structure.proof.proof) wrapped_class (sage.structure.element_wrapper.ElementWrapperCheckWrappedClass attribute) X XYPair (class in sage.structure.set_factories_example) XYPairs() (in module sage.structure.set_factories_example) XYPairsFactory (class in sage.structure.set_factories_example)