IntegerMod(p)

fmod.spad line 1 [edit on github]

• p : PositiveInteger

IntegerMod(n) creates the ring of integers reduced modulo the integer n.

* : (%, %) -> %

from Magma

* : (Integer, %) -> %

from AbelianGroup

* : (NonNegativeInteger, %) -> %

from AbelianMonoid

* : (PositiveInteger, %) -> %

from AbelianSemiGroup

+ : (%, %) -> %

from AbelianSemiGroup

- : % -> %

from AbelianGroup

- : (%, %) -> %

from AbelianGroup

0 : () -> %

from AbelianMonoid

1 : () -> %

from MagmaWithUnit

= : (%, %) -> Boolean

from BasicType

^ : (%, NonNegativeInteger) -> %

from MagmaWithUnit

^ : (%, PositiveInteger) -> %

from Magma

annihilate? : (%, %) -> Boolean

from Rng

antiCommutator : (%, %) -> %

from NonAssociativeSemiRng

associator : (%, %, %) -> %

from NonAssociativeRng

characteristic : () -> NonNegativeInteger

from NonAssociativeRing

coerce : % -> %

from Algebra(%)

coerce : Integer -> %

from NonAssociativeRing

coerce : % -> OutputForm

from CoercibleTo(OutputForm)

commutator : (%, %) -> %

from NonAssociativeRng

convert : % -> InputForm

from ConvertibleTo(InputForm)

convert : % -> Integer

from ConvertibleTo(Integer)

enumerate : () -> List(%)

from Finite

hash : % -> SingleInteger

from Hashable

hashUpdate! : (HashState, %) -> HashState

from Hashable

index : PositiveInteger -> %

from Finite

init : () -> %

from StepThrough

latex : % -> String

from SetCategory

leftPower : (%, NonNegativeInteger) -> %

from MagmaWithUnit

leftPower : (%, PositiveInteger) -> %

from Magma

leftRecip : % -> Union(%, "failed")

from MagmaWithUnit

lookup : % -> PositiveInteger

from Finite

nextItem : % -> Union(%, "failed")

from StepThrough

one? : % -> Boolean

from MagmaWithUnit

opposite? : (%, %) -> Boolean

from AbelianMonoid

plenaryPower : (%, PositiveInteger) -> %

from NonAssociativeAlgebra(%)

random : () -> %

from Finite

recip : % -> Union(%, "failed")

from MagmaWithUnit

rightPower : (%, NonNegativeInteger) -> %

from MagmaWithUnit

rightPower : (%, PositiveInteger) -> %

from Magma

rightRecip : % -> Union(%, "failed")

from MagmaWithUnit

sample : () -> %

from AbelianMonoid

size : () -> NonNegativeInteger

from Finite

smaller? : (%, %) -> Boolean

from Comparable

subtractIfCan : (%, %) -> Union(%, "failed")

from CancellationAbelianMonoid

zero? : % -> Boolean

from AbelianMonoid

~= : (%, %) -> Boolean

from BasicType

Comparable

ConvertibleTo(InputForm)

Algebra(%)

RightModule(%)

Monoid

AbelianMonoid

CancellationAbelianMonoid

MagmaWithUnit

NonAssociativeRing

StepThrough

LeftModule(%)

CommutativeStar

Finite

Module(%)

SetCategory

CoercibleTo(OutputForm)

Rng

CommutativeRing

TwoSidedRecip

Magma

SemiGroup

BiModule(%, %)

unitsKnown

AbelianGroup

AbelianSemiGroup

ConvertibleTo(Integer)

NonAssociativeSemiRing

NonAssociativeAlgebra(%)

NonAssociativeRng

Ring

SemiRng

NonAssociativeSemiRng

Hashable

BasicType

SemiRing