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Sage 9.6 Documentation
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Reference Manual
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$p$-adics
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Index
Index
A
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B
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C
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D
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E
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F
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G
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H
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I
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K
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L
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M
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N
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O
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P
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Q
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R
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S
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T
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U
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V
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X
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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_pAdicField() (in module sage.rings.padics.generic_nodes)
is_pAdicRing() (in module sage.rings.padics.generic_nodes)
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)
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