Index A | B | C | D | E | F | G | H | I | K | L | M | N | O | P | Q | R | S | T | U | V | X | Z A abs() (sage.rings.padics.padic_generic_element.pAdicGenericElement method) absolute_degree() (sage.rings.padics.local_generic.LocalGeneric method) absolute_discriminant() (sage.rings.padics.padic_base_generic.pAdicBaseGeneric method) absolute_e() (sage.rings.padics.eisenstein_extension_generic.EisensteinExtensionGeneric method) (sage.rings.padics.local_generic.LocalGeneric method) absolute_f() (sage.rings.padics.local_generic.LocalGeneric method) (sage.rings.padics.unramified_extension_generic.UnramifiedExtensionGeneric method) absolute_inertia_degree() (sage.rings.padics.local_generic.LocalGeneric method) absolute_ramification_index() (sage.rings.padics.local_generic.LocalGeneric method) add_bigoh() (sage.rings.padics.local_generic_element.LocalGenericElement method) (sage.rings.padics.padic_capped_absolute_element.CAElement method) (sage.rings.padics.padic_capped_relative_element.CRElement method) (sage.rings.padics.padic_fixed_mod_element.FMElement method) (sage.rings.padics.padic_ZZ_pX_FM_element.pAdicZZpXFMElement method) additive_order() (sage.rings.padics.padic_generic_element.pAdicGenericElement method) algdep() (sage.rings.padics.padic_generic_element.pAdicGenericElement method) algebraic_dependency() (sage.rings.padics.padic_generic_element.pAdicGenericElement method) allow_negatives() (sage.rings.padics.padic_printing.pAdicPrinterDefaults method) alphabet() (sage.rings.padics.padic_printing.pAdicPrinterDefaults method) an_element() (sage.rings.padics.generic_nodes.pAdicRelaxedGeneric method) artin_hasse_exp() (sage.rings.padics.padic_generic_element.pAdicGenericElement method) B base_p_list() (in module sage.rings.padics.padic_capped_relative_element) C CAElement (class in sage.rings.padics.padic_capped_absolute_element) CappedAbsoluteGeneric (class in sage.rings.padics.generic_nodes) CappedRelativeFieldGeneric (class in sage.rings.padics.generic_nodes) CappedRelativeGeneric (class in sage.rings.padics.generic_nodes) CappedRelativeRingGeneric (class in sage.rings.padics.generic_nodes) change() (sage.rings.padics.local_generic.LocalGeneric method) characteristic() (sage.rings.padics.padic_generic.pAdicGeneric method) composite() (sage.rings.padics.generic_nodes.pAdicFieldBaseGeneric method) construction() (sage.rings.padics.generic_nodes.pAdicFieldBaseGeneric method) (sage.rings.padics.generic_nodes.pAdicRingBaseGeneric method) (sage.rings.padics.padic_extension_generic.pAdicExtensionGeneric method) convert_multiple() (sage.rings.padics.generic_nodes.pAdicLatticeGeneric method) create_key() (sage.rings.padics.factory.Qp_class method) (sage.rings.padics.factory.Zp_class method) create_key_and_extra_args() (sage.rings.padics.factory.pAdicExtension_class method) create_object() (sage.rings.padics.factory.pAdicExtension_class method) (sage.rings.padics.factory.Qp_class method) (sage.rings.padics.factory.Zp_class method) CRElement (class in sage.rings.padics.padic_capped_relative_element) D default_prec() (sage.rings.padics.generic_nodes.pAdicRelaxedGeneric method) defining_polynomial() (sage.rings.padics.local_generic.LocalGeneric method) (sage.rings.padics.padic_extension_generic.pAdicExtensionGeneric method) DefPolyConversion (class in sage.rings.padics.padic_extension_generic) degree() (sage.rings.padics.local_generic.LocalGeneric method) dict() (sage.rings.padics.padic_printing.pAdicPrinter_class method) discriminant() (sage.rings.padics.padic_base_generic.pAdicBaseGeneric method) (sage.rings.padics.unramified_extension_generic.UnramifiedExtensionGeneric method) dwork_expansion() (sage.rings.padics.padic_generic_element.pAdicGenericElement method) dwork_mahler_coeffs() (in module sage.rings.padics.padic_generic_element) E e() (sage.rings.padics.local_generic.LocalGeneric method) EisensteinExtensionFieldCappedRelative (class in sage.rings.padics.padic_extension_leaves) EisensteinExtensionGeneric (class in sage.rings.padics.eisenstein_extension_generic) EisensteinExtensionRingCappedAbsolute (class in sage.rings.padics.padic_extension_leaves) EisensteinExtensionRingCappedRelative (class in sage.rings.padics.padic_extension_leaves) EisensteinExtensionRingFixedMod (class in sage.rings.padics.padic_extension_leaves) euclidean_degree() (sage.rings.padics.local_generic_element.LocalGenericElement method) evaluate_dwork_mahler() (in module sage.rings.padics.padic_generic_element) exact_field() (sage.rings.padics.padic_base_generic.pAdicBaseGeneric method) (sage.rings.padics.padic_extension_generic.pAdicExtensionGeneric method) exact_ring() (sage.rings.padics.padic_base_generic.pAdicBaseGeneric method) (sage.rings.padics.padic_extension_generic.pAdicExtensionGeneric method) exp() (sage.rings.padics.padic_generic_element.pAdicGenericElement method) expansion() (sage.rings.padics.padic_capped_absolute_element.pAdicTemplateElement method) (sage.rings.padics.padic_capped_relative_element.pAdicTemplateElement method) (sage.rings.padics.padic_fixed_mod_element.pAdicTemplateElement method) (sage.rings.padics.padic_ZZ_pX_CA_element.pAdicZZpXCAElement method) (sage.rings.padics.padic_ZZ_pX_CR_element.pAdicZZpXCRElement method) (sage.rings.padics.padic_ZZ_pX_FM_element.pAdicZZpXFMElement method) ExpansionIter (class in sage.rings.padics.padic_capped_absolute_element) (class in sage.rings.padics.padic_capped_relative_element) (class in sage.rings.padics.padic_fixed_mod_element) ExpansionIterable (class in sage.rings.padics.padic_capped_absolute_element) (class in sage.rings.padics.padic_capped_relative_element) (class in sage.rings.padics.padic_fixed_mod_element) ext() (sage.rings.padics.local_generic.LocalGeneric method) extension() (sage.rings.padics.padic_generic.pAdicGeneric method) F f() (sage.rings.padics.local_generic.LocalGeneric method) FixedModGeneric (class in sage.rings.padics.generic_nodes) FloatingPointFieldGeneric (class in sage.rings.padics.generic_nodes) FloatingPointGeneric (class in sage.rings.padics.generic_nodes) FloatingPointRingGeneric (class in sage.rings.padics.generic_nodes) FMElement (class in sage.rings.padics.padic_fixed_mod_element) fraction_field() (sage.rings.padics.padic_extension_leaves.EisensteinExtensionRingFixedMod method) (sage.rings.padics.padic_generic.pAdicGeneric method) free_module() (sage.rings.padics.padic_extension_generic.pAdicExtensionGeneric method) frobenius() (sage.rings.padics.padic_ext_element.pAdicExtElement method) frobenius_endomorphism() (sage.rings.padics.padic_generic.pAdicGeneric method) FrobeniusEndomorphism_padics (class in sage.rings.padics.morphism) G gamma() (sage.rings.padics.padic_generic_element.pAdicGenericElement method) gauss_sum() (in module sage.rings.padics.misc) gauss_table() (in module sage.rings.padics.padic_generic_element) gcd() (sage.rings.padics.padic_generic_element.pAdicGenericElement method) gen() (sage.rings.padics.eisenstein_extension_generic.EisensteinExtensionGeneric method) (sage.rings.padics.padic_base_generic.pAdicBaseGeneric method) (sage.rings.padics.unramified_extension_generic.UnramifiedExtensionGeneric method) gens() (sage.rings.padics.padic_generic.pAdicGeneric method) get_key_base() (in module sage.rings.padics.factory) ground_ring() (sage.rings.padics.local_generic.LocalGeneric method) (sage.rings.padics.padic_extension_generic.pAdicExtensionGeneric method) ground_ring_of_tower() (sage.rings.padics.local_generic.LocalGeneric method) (sage.rings.padics.padic_extension_generic.pAdicExtensionGeneric method) H halting_prec() (sage.rings.padics.generic_nodes.pAdicRelaxedGeneric method) has_pth_root() (sage.rings.padics.padic_base_generic.pAdicBaseGeneric method) (sage.rings.padics.unramified_extension_generic.UnramifiedExtensionGeneric method) has_root_of_unity() (sage.rings.padics.padic_base_generic.pAdicBaseGeneric method) (sage.rings.padics.unramified_extension_generic.UnramifiedExtensionGeneric method) I inertia_degree() (sage.rings.padics.local_generic.LocalGeneric method) inertia_subring() (sage.rings.padics.eisenstein_extension_generic.EisensteinExtensionGeneric method) (sage.rings.padics.local_generic.LocalGeneric method) integer_ring() (sage.rings.padics.padic_generic.pAdicGeneric method) inverse_of_unit() (sage.rings.padics.local_generic_element.LocalGenericElement method) is_abelian() (sage.rings.padics.padic_base_generic.pAdicBaseGeneric method) is_capped_absolute() (sage.rings.padics.generic_nodes.CappedAbsoluteGeneric method) (sage.rings.padics.local_generic.LocalGeneric method) is_capped_relative() (sage.rings.padics.generic_nodes.CappedRelativeGeneric method) (sage.rings.padics.local_generic.LocalGeneric method) is_eisenstein() (in module sage.rings.padics.factory) is_equal_to() (sage.rings.padics.padic_capped_absolute_element.CAElement method) (sage.rings.padics.padic_capped_relative_element.CRElement method) (sage.rings.padics.padic_fixed_mod_element.FMElement method) (sage.rings.padics.padic_ZZ_pX_CA_element.pAdicZZpXCAElement method) (sage.rings.padics.padic_ZZ_pX_CR_element.pAdicZZpXCRElement method) (sage.rings.padics.padic_ZZ_pX_FM_element.pAdicZZpXFMElement method) is_exact() (sage.rings.padics.local_generic.LocalGeneric method) is_field() (sage.rings.padics.generic_nodes.pAdicRingGeneric method) is_fixed_mod() (sage.rings.padics.generic_nodes.FixedModGeneric method) (sage.rings.padics.local_generic.LocalGeneric method) is_floating_point() (sage.rings.padics.generic_nodes.FloatingPointGeneric method) (sage.rings.padics.local_generic.LocalGeneric method) is_galois() (sage.rings.padics.unramified_extension_generic.UnramifiedExtensionGeneric method) is_identity() (sage.rings.padics.morphism.FrobeniusEndomorphism_padics method) is_injective() (sage.rings.padics.morphism.FrobeniusEndomorphism_padics method) (sage.rings.padics.padic_capped_absolute_element.pAdicCoercion_CA_frac_field method) (sage.rings.padics.padic_capped_relative_element.pAdicCoercion_CR_frac_field method) (sage.rings.padics.padic_extension_generic.pAdicModuleIsomorphism method) (sage.rings.padics.padic_fixed_mod_element.pAdicCoercion_FM_frac_field method) (sage.rings.padics.padic_generic.ResidueReductionMap method) is_integral() (sage.rings.padics.local_generic_element.LocalGenericElement method) is_isomorphic() (sage.rings.padics.padic_base_generic.pAdicBaseGeneric method) is_lattice_prec() (sage.rings.padics.generic_nodes.pAdicLatticeGeneric method) (sage.rings.padics.local_generic.LocalGeneric method) is_normal() (sage.rings.padics.padic_base_generic.pAdicBaseGeneric method) is_padic_unit() (sage.rings.padics.local_generic_element.LocalGenericElement method) is_prime() (sage.rings.padics.padic_generic_element.pAdicGenericElement method) is_relaxed() (sage.rings.padics.generic_nodes.pAdicRelaxedGeneric method) (sage.rings.padics.local_generic.LocalGeneric method) is_secure() (sage.rings.padics.generic_nodes.pAdicRelaxedGeneric method) is_square() (sage.rings.padics.padic_generic_element.pAdicGenericElement method) is_squarefree() (sage.rings.padics.padic_generic_element.pAdicGenericElement method) is_surjective() (sage.rings.padics.morphism.FrobeniusEndomorphism_padics method) (sage.rings.padics.padic_capped_absolute_element.pAdicCoercion_CA_frac_field method) (sage.rings.padics.padic_capped_relative_element.pAdicCoercion_CR_frac_field method) (sage.rings.padics.padic_extension_generic.pAdicModuleIsomorphism method) (sage.rings.padics.padic_fixed_mod_element.pAdicCoercion_FM_frac_field method) (sage.rings.padics.padic_generic.ResidueReductionMap method) is_unit() (sage.rings.padics.local_generic_element.LocalGenericElement method) is_unramified() (in module sage.rings.padics.factory) is_zero() (sage.rings.padics.padic_capped_absolute_element.CAElement method) (sage.rings.padics.padic_capped_relative_element.CRElement method) (sage.rings.padics.padic_fixed_mod_element.FMElement method) (sage.rings.padics.padic_ZZ_pX_CA_element.pAdicZZpXCAElement method) (sage.rings.padics.padic_ZZ_pX_CR_element.pAdicZZpXCRElement method) (sage.rings.padics.padic_ZZ_pX_FM_element.pAdicZZpXFMElement method) K krasner_check() (in module sage.rings.padics.factory) krull_dimension() (sage.rings.padics.generic_nodes.pAdicRingGeneric method) L label() (sage.rings.padics.generic_nodes.pAdicLatticeGeneric method) lift() (sage.rings.padics.padic_capped_absolute_element.pAdicCappedAbsoluteElement method) (sage.rings.padics.padic_capped_relative_element.pAdicCappedRelativeElement method) (sage.rings.padics.padic_fixed_mod_element.pAdicFixedModElement method) lift_to_precision() (sage.rings.padics.padic_capped_absolute_element.pAdicTemplateElement method) (sage.rings.padics.padic_capped_relative_element.pAdicTemplateElement method) (sage.rings.padics.padic_fixed_mod_element.pAdicTemplateElement method) (sage.rings.padics.padic_ZZ_pX_CA_element.pAdicZZpXCAElement method) (sage.rings.padics.padic_ZZ_pX_CR_element.pAdicZZpXCRElement method) (sage.rings.padics.padic_ZZ_pX_FM_element.pAdicZZpXFMElement method) local_print_mode() (in module sage.rings.padics.padic_generic) LocalGeneric (class in sage.rings.padics.local_generic) LocalGenericElement (class in sage.rings.padics.local_generic_element) log() (sage.rings.padics.padic_generic_element.pAdicGenericElement method) M make_pAdicCappedAbsoluteElement() (in module sage.rings.padics.padic_capped_absolute_element) make_pAdicFixedModElement() (in module sage.rings.padics.padic_fixed_mod_element) make_ZZpXCAElement() (in module sage.rings.padics.padic_ZZ_pX_CA_element) make_ZZpXCRElement() (in module sage.rings.padics.padic_ZZ_pX_CR_element) make_ZZpXFMElement() (in module sage.rings.padics.padic_ZZ_pX_FM_element) MapFreeModuleToOneStep (class in sage.rings.padics.padic_extension_generic) MapFreeModuleToTwoStep (class in sage.rings.padics.padic_extension_generic) MapOneStepToFreeModule (class in sage.rings.padics.padic_extension_generic) MapTwoStepToFreeModule (class in sage.rings.padics.padic_extension_generic) matrix_mod_pn() (sage.rings.padics.padic_ZZ_pX_CA_element.pAdicZZpXCAElement method) (sage.rings.padics.padic_ZZ_pX_CR_element.pAdicZZpXCRElement method) (sage.rings.padics.padic_ZZ_pX_FM_element.pAdicZZpXFMElement method) max() (in module sage.rings.padics.misc) max_poly_terms() (sage.rings.padics.padic_printing.pAdicPrinterDefaults method) max_series_terms() (sage.rings.padics.padic_printing.pAdicPrinterDefaults method) max_unram_terms() (sage.rings.padics.padic_printing.pAdicPrinterDefaults method) maximal_unramified_subextension() (sage.rings.padics.local_generic.LocalGeneric method) min() (in module sage.rings.padics.misc) minimal_polynomial() (sage.rings.padics.padic_generic_element.pAdicGenericElement method) mode() (sage.rings.padics.padic_printing.pAdicPrinterDefaults method) module sage.rings.padics.common_conversion sage.rings.padics.eisenstein_extension_generic sage.rings.padics.factory sage.rings.padics.generic_nodes sage.rings.padics.local_generic sage.rings.padics.local_generic_element sage.rings.padics.misc sage.rings.padics.morphism sage.rings.padics.padic_base_generic sage.rings.padics.padic_base_leaves sage.rings.padics.padic_capped_absolute_element sage.rings.padics.padic_capped_relative_element sage.rings.padics.padic_ext_element sage.rings.padics.padic_extension_generic sage.rings.padics.padic_extension_leaves sage.rings.padics.padic_fixed_mod_element sage.rings.padics.padic_generic sage.rings.padics.padic_generic_element sage.rings.padics.padic_printing sage.rings.padics.padic_ZZ_pX_CA_element sage.rings.padics.padic_ZZ_pX_CR_element sage.rings.padics.padic_ZZ_pX_element sage.rings.padics.padic_ZZ_pX_FM_element sage.rings.padics.pow_computer sage.rings.padics.pow_computer_ext sage.rings.padics.precision_error sage.rings.padics.tutorial sage.rings.padics.unramified_extension_generic modulus() (sage.rings.padics.padic_base_generic.pAdicBaseGeneric method) (sage.rings.padics.padic_extension_generic.pAdicExtensionGeneric method) multiplicative_order() (sage.rings.padics.padic_capped_absolute_element.pAdicCappedAbsoluteElement method) (sage.rings.padics.padic_fixed_mod_element.pAdicFixedModElement method) (sage.rings.padics.padic_generic_element.pAdicGenericElement method) N ngens() (sage.rings.padics.padic_generic.pAdicGeneric method) norm() (sage.rings.padics.padic_generic_element.pAdicGenericElement method) (sage.rings.padics.padic_ZZ_pX_element.pAdicZZpXElement method) (sage.rings.padics.padic_ZZ_pX_FM_element.pAdicZZpXFMElement method) normalized_valuation() (sage.rings.padics.local_generic_element.LocalGenericElement method) nth_root() (sage.rings.padics.padic_generic_element.pAdicGenericElement method) O order() (sage.rings.padics.morphism.FrobeniusEndomorphism_padics method) ordp() (sage.rings.padics.padic_generic_element.pAdicGenericElement method) P pAdicBaseGeneric (class in sage.rings.padics.padic_base_generic) pAdicCappedAbsoluteElement (class in sage.rings.padics.padic_capped_absolute_element) pAdicCappedAbsoluteRingGeneric (class in sage.rings.padics.generic_nodes) pAdicCappedRelativeElement (class in sage.rings.padics.padic_capped_relative_element) pAdicCappedRelativeFieldGeneric (class in sage.rings.padics.generic_nodes) pAdicCappedRelativeRingGeneric (class in sage.rings.padics.generic_nodes) pAdicCoercion_CA_frac_field (class in sage.rings.padics.padic_capped_absolute_element) pAdicCoercion_CR_frac_field (class in sage.rings.padics.padic_capped_relative_element) pAdicCoercion_FM_frac_field (class in sage.rings.padics.padic_fixed_mod_element) pAdicCoercion_QQ_CR (class in sage.rings.padics.padic_capped_relative_element) pAdicCoercion_ZZ_CA (class in sage.rings.padics.padic_capped_absolute_element) pAdicCoercion_ZZ_CR (class in sage.rings.padics.padic_capped_relative_element) pAdicCoercion_ZZ_FM (class in sage.rings.padics.padic_fixed_mod_element) pAdicConvert_CA_frac_field (class in sage.rings.padics.padic_capped_absolute_element) pAdicConvert_CA_ZZ (class in sage.rings.padics.padic_capped_absolute_element) pAdicConvert_CR_frac_field (class in sage.rings.padics.padic_capped_relative_element) pAdicConvert_CR_QQ (class in sage.rings.padics.padic_capped_relative_element) pAdicConvert_CR_ZZ (class in sage.rings.padics.padic_capped_relative_element) pAdicConvert_FM_frac_field (class in sage.rings.padics.padic_fixed_mod_element) pAdicConvert_FM_ZZ (class in sage.rings.padics.padic_fixed_mod_element) pAdicConvert_QQ_CA (class in sage.rings.padics.padic_capped_absolute_element) pAdicConvert_QQ_CR (class in sage.rings.padics.padic_capped_relative_element) pAdicConvert_QQ_FM (class in sage.rings.padics.padic_fixed_mod_element) pAdicExtElement (class in sage.rings.padics.padic_ext_element) pAdicExtension_class (class in sage.rings.padics.factory) pAdicExtensionGeneric (class in sage.rings.padics.padic_extension_generic) pAdicFieldBaseGeneric (class in sage.rings.padics.generic_nodes) pAdicFieldCappedRelative (class in sage.rings.padics.padic_base_leaves) pAdicFieldFloatingPoint (class in sage.rings.padics.padic_base_leaves) pAdicFieldGeneric (class in sage.rings.padics.generic_nodes) pAdicFieldLattice (class in sage.rings.padics.padic_base_leaves) pAdicFieldRelaxed (class in sage.rings.padics.padic_base_leaves) pAdicFixedModElement (class in sage.rings.padics.padic_fixed_mod_element) pAdicFixedModRingGeneric (class in sage.rings.padics.generic_nodes) pAdicFloatingPointFieldGeneric (class in sage.rings.padics.generic_nodes) pAdicFloatingPointRingGeneric (class in sage.rings.padics.generic_nodes) pAdicGeneric (class in sage.rings.padics.padic_generic) pAdicGenericElement (class in sage.rings.padics.padic_generic_element) pAdicLatticeGeneric (class in sage.rings.padics.generic_nodes) pAdicModuleIsomorphism (class in sage.rings.padics.padic_extension_generic) pAdicPrinter() (in module sage.rings.padics.padic_printing) pAdicPrinter_class (class in sage.rings.padics.padic_printing) pAdicPrinterDefaults (class in sage.rings.padics.padic_printing) pAdicRelaxedGeneric (class in sage.rings.padics.generic_nodes) pAdicRingBaseGeneric (class in sage.rings.padics.generic_nodes) pAdicRingCappedAbsolute (class in sage.rings.padics.padic_base_leaves) pAdicRingCappedRelative (class in sage.rings.padics.padic_base_leaves) pAdicRingFixedMod (class in sage.rings.padics.padic_base_leaves) pAdicRingFloatingPoint (class in sage.rings.padics.padic_base_leaves) pAdicRingGeneric (class in sage.rings.padics.generic_nodes) pAdicRingLattice (class in sage.rings.padics.padic_base_leaves) pAdicRingRelaxed (class in sage.rings.padics.padic_base_leaves) pAdicTemplateElement (class in sage.rings.padics.padic_capped_absolute_element) (class in sage.rings.padics.padic_capped_relative_element) (class in sage.rings.padics.padic_fixed_mod_element) pAdicZZpXCAElement (class in sage.rings.padics.padic_ZZ_pX_CA_element) pAdicZZpXCRElement (class in sage.rings.padics.padic_ZZ_pX_CR_element) pAdicZZpXElement (class in sage.rings.padics.padic_ZZ_pX_element) pAdicZZpXFMElement (class in sage.rings.padics.padic_ZZ_pX_FM_element) plot() (sage.rings.padics.padic_base_generic.pAdicBaseGeneric method) polylog() (sage.rings.padics.padic_generic_element.pAdicGenericElement method) polynomial() (sage.rings.padics.padic_capped_absolute_element.CAElement method) (sage.rings.padics.padic_capped_relative_element.CRElement method) (sage.rings.padics.padic_fixed_mod_element.FMElement method) (sage.rings.padics.padic_ZZ_pX_CA_element.pAdicZZpXCAElement method) (sage.rings.padics.padic_ZZ_pX_CR_element.pAdicZZpXCRElement method) (sage.rings.padics.padic_ZZ_pX_FM_element.pAdicZZpXFMElement method) (sage.rings.padics.pow_computer_ext.PowComputer_ZZ_pX method) polynomial_ring() (sage.rings.padics.padic_extension_generic.pAdicExtensionGeneric method) pow_Integer_Integer() (sage.rings.padics.pow_computer.PowComputer_class method) PowComputer() (in module sage.rings.padics.pow_computer) PowComputer_ (class in sage.rings.padics.padic_capped_absolute_element) (class in sage.rings.padics.padic_capped_relative_element) (class in sage.rings.padics.padic_fixed_mod_element) PowComputer_base (class in sage.rings.padics.pow_computer) PowComputer_class (class in sage.rings.padics.pow_computer) PowComputer_ext (class in sage.rings.padics.pow_computer_ext) PowComputer_ext_maker() (in module sage.rings.padics.pow_computer_ext) PowComputer_ZZ_pX (class in sage.rings.padics.pow_computer_ext) PowComputer_ZZ_pX_big (class in sage.rings.padics.pow_computer_ext) PowComputer_ZZ_pX_big_Eis (class in sage.rings.padics.pow_computer_ext) PowComputer_ZZ_pX_FM (class in sage.rings.padics.pow_computer_ext) PowComputer_ZZ_pX_FM_Eis (class in sage.rings.padics.pow_computer_ext) PowComputer_ZZ_pX_small (class in sage.rings.padics.pow_computer_ext) PowComputer_ZZ_pX_small_Eis (class in sage.rings.padics.pow_computer_ext) power() (sage.rings.padics.morphism.FrobeniusEndomorphism_padics method) precision() (sage.rings.padics.generic_nodes.pAdicLatticeGeneric method) precision_absolute() (sage.rings.padics.padic_capped_absolute_element.CAElement method) (sage.rings.padics.padic_capped_relative_element.CRElement method) (sage.rings.padics.padic_fixed_mod_element.FMElement method) (sage.rings.padics.padic_ZZ_pX_CA_element.pAdicZZpXCAElement method) (sage.rings.padics.padic_ZZ_pX_CR_element.pAdicZZpXCRElement method) (sage.rings.padics.padic_ZZ_pX_FM_element.pAdicZZpXFMElement method) precision_cap() (sage.rings.padics.generic_nodes.pAdicLatticeGeneric method) (sage.rings.padics.generic_nodes.pAdicRelaxedGeneric method) (sage.rings.padics.local_generic.LocalGeneric method) precision_cap_absolute() (sage.rings.padics.generic_nodes.pAdicLatticeGeneric method) precision_cap_relative() (sage.rings.padics.generic_nodes.pAdicLatticeGeneric method) precision_relative() (sage.rings.padics.padic_capped_absolute_element.CAElement method) (sage.rings.padics.padic_capped_relative_element.CRElement method) (sage.rings.padics.padic_fixed_mod_element.FMElement method) (sage.rings.padics.padic_ZZ_pX_CA_element.pAdicZZpXCAElement method) (sage.rings.padics.padic_ZZ_pX_CR_element.pAdicZZpXCRElement method) (sage.rings.padics.padic_ZZ_pX_FM_element.pAdicZZpXFMElement method) PrecisionError precprint() (in module sage.rings.padics.misc) prime() (sage.rings.padics.padic_generic.pAdicGeneric method) primitive_root_of_unity() (sage.rings.padics.padic_generic.pAdicGeneric method) print_mode() (sage.rings.padics.padic_generic.pAdicGeneric method) Q Qp_class (class in sage.rings.padics.factory) QpCR() (in module sage.rings.padics.factory) QpER() (in module sage.rings.padics.factory) QpFP() (in module sage.rings.padics.factory) QpLC() (in module sage.rings.padics.factory) QpLF() (in module sage.rings.padics.factory) Qq() (in module sage.rings.padics.factory) QqCR() (in module sage.rings.padics.factory) QqFP() (in module sage.rings.padics.factory) quo_rem() (sage.rings.padics.local_generic_element.LocalGenericElement method) R ramification_index() (sage.rings.padics.local_generic.LocalGeneric method) random_element() (sage.rings.padics.generic_nodes.pAdicRelaxedGeneric method) (sage.rings.padics.generic_nodes.pAdicRingBaseGeneric method) (sage.rings.padics.padic_base_leaves.pAdicFieldCappedRelative method) (sage.rings.padics.padic_base_leaves.pAdicFieldLattice method) (sage.rings.padics.padic_base_leaves.pAdicRingLattice method) (sage.rings.padics.padic_extension_generic.pAdicExtensionGeneric method) rational_reconstruction() (sage.rings.padics.padic_generic_element.pAdicGenericElement method) relative_degree() (sage.rings.padics.local_generic.LocalGeneric method) relative_e() (sage.rings.padics.local_generic.LocalGeneric method) relative_f() (sage.rings.padics.local_generic.LocalGeneric method) relative_inertia_degree() (sage.rings.padics.local_generic.LocalGeneric method) relative_ramification_index() (sage.rings.padics.local_generic.LocalGeneric method) repr_gen() (sage.rings.padics.padic_printing.pAdicPrinter_class method) reset_dictionaries() (sage.rings.padics.pow_computer_ext.PowComputer_ZZ_pX_big method) residue() (sage.rings.padics.padic_capped_absolute_element.pAdicCappedAbsoluteElement method) (sage.rings.padics.padic_capped_absolute_element.pAdicTemplateElement method) (sage.rings.padics.padic_capped_relative_element.pAdicCappedRelativeElement method) (sage.rings.padics.padic_capped_relative_element.pAdicTemplateElement method) (sage.rings.padics.padic_ext_element.pAdicExtElement method) (sage.rings.padics.padic_fixed_mod_element.pAdicFixedModElement method) (sage.rings.padics.padic_fixed_mod_element.pAdicTemplateElement method) residue_characteristic() (sage.rings.padics.local_generic.LocalGeneric method) (sage.rings.padics.padic_generic.pAdicGeneric method) residue_class_field() (sage.rings.padics.eisenstein_extension_generic.EisensteinExtensionGeneric method) (sage.rings.padics.padic_generic.pAdicGeneric method) (sage.rings.padics.unramified_extension_generic.UnramifiedExtensionGeneric method) residue_field() (sage.rings.padics.padic_generic.pAdicGeneric method) residue_ring() (sage.rings.padics.eisenstein_extension_generic.EisensteinExtensionGeneric method) (sage.rings.padics.padic_generic.pAdicGeneric method) (sage.rings.padics.unramified_extension_generic.UnramifiedExtensionGeneric method) residue_system() (sage.rings.padics.padic_generic.pAdicGeneric method) ResidueLiftingMap (class in sage.rings.padics.padic_generic) ResidueReductionMap (class in sage.rings.padics.padic_generic) richcmp_modes() (sage.rings.padics.padic_printing.pAdicPrinter_class method) roots_of_unity() (sage.rings.padics.padic_generic.pAdicGeneric method) S sage.rings.padics.common_conversion module sage.rings.padics.eisenstein_extension_generic module sage.rings.padics.factory module sage.rings.padics.generic_nodes module sage.rings.padics.local_generic module sage.rings.padics.local_generic_element module sage.rings.padics.misc module sage.rings.padics.morphism module sage.rings.padics.padic_base_generic module sage.rings.padics.padic_base_leaves module sage.rings.padics.padic_capped_absolute_element module sage.rings.padics.padic_capped_relative_element module sage.rings.padics.padic_ext_element module sage.rings.padics.padic_extension_generic module sage.rings.padics.padic_extension_leaves module sage.rings.padics.padic_fixed_mod_element module sage.rings.padics.padic_generic module sage.rings.padics.padic_generic_element module sage.rings.padics.padic_printing module sage.rings.padics.padic_ZZ_pX_CA_element module sage.rings.padics.padic_ZZ_pX_CR_element module sage.rings.padics.padic_ZZ_pX_element module sage.rings.padics.padic_ZZ_pX_FM_element module sage.rings.padics.pow_computer module sage.rings.padics.pow_computer_ext module sage.rings.padics.precision_error module sage.rings.padics.tutorial module sage.rings.padics.unramified_extension_generic module section() (sage.rings.padics.padic_capped_absolute_element.pAdicCoercion_CA_frac_field method) (sage.rings.padics.padic_capped_absolute_element.pAdicCoercion_ZZ_CA method) (sage.rings.padics.padic_capped_relative_element.pAdicCoercion_CR_frac_field method) (sage.rings.padics.padic_capped_relative_element.pAdicCoercion_QQ_CR method) (sage.rings.padics.padic_capped_relative_element.pAdicCoercion_ZZ_CR method) (sage.rings.padics.padic_capped_relative_element.pAdicConvert_QQ_CR method) (sage.rings.padics.padic_fixed_mod_element.pAdicCoercion_FM_frac_field method) (sage.rings.padics.padic_fixed_mod_element.pAdicCoercion_ZZ_FM method) (sage.rings.padics.padic_generic.ResidueReductionMap method) sep() (sage.rings.padics.padic_printing.pAdicPrinterDefaults method) slice() (sage.rings.padics.local_generic_element.LocalGenericElement method) some_elements() (sage.rings.padics.generic_nodes.pAdicRelaxedGeneric method) (sage.rings.padics.padic_generic.pAdicGeneric method) speed_test() (sage.rings.padics.pow_computer_ext.PowComputer_ZZ_pX method) split() (in module sage.rings.padics.factory) sqrt() (sage.rings.padics.local_generic_element.LocalGenericElement method) square_root() (sage.rings.padics.padic_generic_element.pAdicGenericElement method) str() (sage.rings.padics.padic_generic_element.pAdicGenericElement method) subfield() (sage.rings.padics.generic_nodes.pAdicFieldBaseGeneric method) subfields_of_degree() (sage.rings.padics.generic_nodes.pAdicFieldBaseGeneric method) T teichmuller() (sage.rings.padics.generic_nodes.pAdicRelaxedGeneric method) (sage.rings.padics.padic_generic.pAdicGeneric method) teichmuller_expansion() (sage.rings.padics.padic_capped_absolute_element.pAdicTemplateElement method) (sage.rings.padics.padic_capped_relative_element.pAdicTemplateElement method) (sage.rings.padics.padic_fixed_mod_element.pAdicTemplateElement method) (sage.rings.padics.padic_ZZ_pX_CA_element.pAdicZZpXCAElement method) (sage.rings.padics.padic_ZZ_pX_CR_element.pAdicZZpXCRElement method) (sage.rings.padics.padic_ZZ_pX_FM_element.pAdicZZpXFMElement method) teichmuller_system() (sage.rings.padics.generic_nodes.pAdicRelaxedGeneric method) (sage.rings.padics.padic_generic.pAdicGeneric method) to_fraction_field() (sage.rings.padics.padic_ZZ_pX_CA_element.pAdicZZpXCAElement method) trace() (sage.rings.padics.padic_generic_element.pAdicGenericElement method) (sage.rings.padics.padic_ZZ_pX_element.pAdicZZpXElement method) (sage.rings.padics.padic_ZZ_pX_FM_element.pAdicZZpXFMElement method) trim_zeros() (in module sage.rings.padics.misc) truncate_to_prec() (in module sage.rings.padics.factory) U uniformiser() (sage.rings.padics.local_generic.LocalGeneric method) uniformiser_pow() (sage.rings.padics.local_generic.LocalGeneric method) uniformizer() (sage.rings.padics.eisenstein_extension_generic.EisensteinExtensionGeneric method) (sage.rings.padics.padic_base_generic.pAdicBaseGeneric method) (sage.rings.padics.unramified_extension_generic.UnramifiedExtensionGeneric method) uniformizer_pow() (sage.rings.padics.eisenstein_extension_generic.EisensteinExtensionGeneric method) (sage.rings.padics.padic_base_generic.pAdicBaseGeneric method) (sage.rings.padics.padic_generic.pAdicGeneric method) (sage.rings.padics.unramified_extension_generic.UnramifiedExtensionGeneric method) unit_part() (sage.rings.padics.padic_capped_absolute_element.CAElement method) (sage.rings.padics.padic_capped_absolute_element.pAdicTemplateElement method) (sage.rings.padics.padic_capped_relative_element.CRElement method) (sage.rings.padics.padic_capped_relative_element.pAdicTemplateElement method) (sage.rings.padics.padic_fixed_mod_element.FMElement method) (sage.rings.padics.padic_fixed_mod_element.pAdicTemplateElement method) (sage.rings.padics.padic_ZZ_pX_CA_element.pAdicZZpXCAElement method) (sage.rings.padics.padic_ZZ_pX_CR_element.pAdicZZpXCRElement method) (sage.rings.padics.padic_ZZ_pX_FM_element.pAdicZZpXFMElement method) unknown() (sage.rings.padics.generic_nodes.pAdicRelaxedGeneric method) unpickle_cae_v2() (in module sage.rings.padics.padic_capped_absolute_element) unpickle_cre_v2() (in module sage.rings.padics.padic_capped_relative_element) unpickle_fme_v2() (in module sage.rings.padics.padic_fixed_mod_element) unpickle_pcre_v1() (in module sage.rings.padics.padic_capped_relative_element) UnramifiedExtensionFieldCappedRelative (class in sage.rings.padics.padic_extension_leaves) UnramifiedExtensionFieldFloatingPoint (class in sage.rings.padics.padic_extension_leaves) UnramifiedExtensionGeneric (class in sage.rings.padics.unramified_extension_generic) UnramifiedExtensionRingCappedAbsolute (class in sage.rings.padics.padic_extension_leaves) UnramifiedExtensionRingCappedRelative (class in sage.rings.padics.padic_extension_leaves) UnramifiedExtensionRingFixedMod (class in sage.rings.padics.padic_extension_leaves) UnramifiedExtensionRingFloatingPoint (class in sage.rings.padics.padic_extension_leaves) V val_unit() (sage.rings.padics.padic_capped_absolute_element.CAElement method) (sage.rings.padics.padic_capped_relative_element.CRElement method) (sage.rings.padics.padic_fixed_mod_element.FMElement method) (sage.rings.padics.padic_generic_element.pAdicGenericElement method) valuation() (sage.rings.padics.padic_generic.pAdicGeneric method) (sage.rings.padics.padic_generic_element.pAdicGenericElement method) X xgcd() (sage.rings.padics.padic_generic_element.pAdicGenericElement method) Z zeta() (sage.rings.padics.padic_base_generic.pAdicBaseGeneric method) zeta_order() (sage.rings.padics.padic_base_generic.pAdicBaseGeneric method) Zp_class (class in sage.rings.padics.factory) ZpCA() (in module sage.rings.padics.factory) ZpCR() (in module sage.rings.padics.factory) ZpER() (in module sage.rings.padics.factory) ZpFM() (in module sage.rings.padics.factory) ZpFP() (in module sage.rings.padics.factory) ZpLC() (in module sage.rings.padics.factory) ZpLF() (in module sage.rings.padics.factory) Zq() (in module sage.rings.padics.factory) ZqCA() (in module sage.rings.padics.factory) ZqCR() (in module sage.rings.padics.factory) ZqFM() (in module sage.rings.padics.factory) ZqFP() (in module sage.rings.padics.factory) ZZ_pX_eis_shift_test() (in module sage.rings.padics.pow_computer_ext)