Index

A

abs() (algepy.QuadraticStructures.Q static method) (algepy.SingletonStructures.R static method) (algepy.SingletonStructures.Z static method) algepy module algepy.DiscreteFunctions module

algepy.QuadraticStructures module algepy.SingletonStructures module approx_pnt_prime_count() (algepy.DiscreteFunctions.PrimeNumberTheorem static method) ArithmeticFunctions (class in algepy.DiscreteFunctions)

C

C (class in algepy.QuadraticStructures) conjugate() (algepy.QuadraticStructures.C method) (algepy.QuadraticStructures.QuadInt method) (algepy.QuadraticStructures.QuadRat method)

coprime() (algepy.DiscreteFunctions.PrimalityTesting static method)

D

discriminant() (algepy.QuadraticStructures.Quad_Q_ class method)

divisors() (algepy.DiscreteFunctions.Factorization static method)

E

elements() (algepy.SingletonStructures.Z_ class method) embed() (algepy.QuadraticStructures.Quad_Q_ class method) (algepy.QuadraticStructures.Quad_Z_ class method)

embed_prime() (algepy.QuadraticStructures.Quad_Q_ class method) epsilon (algepy.QuadraticStructures.Quad_Z_ attribute) eratosthenes_primality() (algepy.DiscreteFunctions.PrimalityTesting static method) extended_euclidean() (algepy.DiscreteFunctions.PrimalityTesting static method)

F

Factorization (class in algepy.DiscreteFunctions) factorize() (algepy.DiscreteFunctions.Factorization static method) (algepy.QuadraticStructures.Quad_Z_ class method)

fermat_primality() (algepy.DiscreteFunctions.PrimalityTesting static method) fundamental_unit() (algepy.QuadraticStructures.Quad_Z_ class method)

G

gcd() (algepy.QuadraticStructures.Quad_Z_ class method)

get_fundamental_unit() (algepy.QuadraticStructures.Quad_Z_ class method)

I

I() (algepy.DiscreteFunctions.ArithmeticFunctions static method) integer_ring() (algepy.QuadraticStructures.Quad_Q_ class method) internal_div() (algepy.QuadraticStructures.Quad_Z_ class method) internal_mod() (algepy.QuadraticStructures.Quad_Z_ class method) inverse() (algepy.QuadraticStructures.QuadInt method) (algepy.QuadraticStructures.QuadRat method) (algepy.SingletonStructures.Z_n method)

is_cyclic() (algepy.SingletonStructures.Z_ class method) is_euclidean_domain (algepy.QuadraticStructures.Quad_Z_ attribute) is_perfect() (algepy.DiscreteFunctions.ArithmeticFunctions static method) is_square_free() (algepy.DiscreteFunctions.ArithmeticFunctions static method) is_ufd (algepy.QuadraticStructures.Quad_Z_ attribute)

L

legendre() (algepy.SingletonStructures.Z_ class method)

M

miller_rabin_primality() (algepy.DiscreteFunctions.PrimalityTesting static method) module algepy algepy.DiscreteFunctions algepy.QuadraticStructures algepy.SingletonStructures

modulus (algepy.SingletonStructures.Z_ attribute) mul_id() (algepy.QuadraticStructures.C static method) (algepy.QuadraticStructures.Q static method) (algepy.QuadraticStructures.Quad_Z_ class method) (algepy.SingletonStructures.R static method) (algepy.SingletonStructures.Z static method) (algepy.SingletonStructures.Z_ class method)

N

N() (algepy.DiscreteFunctions.ArithmeticFunctions static method) norm() (algepy.QuadraticStructures.C static method) (algepy.QuadraticStructures.QuadInt static method) (algepy.QuadraticStructures.QuadRat static method)

normalize() (algepy.QuadraticStructures.Quad_Z_ method)

O

omega (algepy.QuadraticStructures.Quad_Q_ attribute) (algepy.QuadraticStructures.Quad_Z_ attribute)

order() (algepy.SingletonStructures.Z_n method)

P

pnt_prime_count() (algepy.DiscreteFunctions.PrimeNumberTheorem static method) PrimalityTesting (class in algepy.DiscreteFunctions) prime_factors() (algepy.DiscreteFunctions.Factorization static method)

PrimeNumberTheorem (class in algepy.DiscreteFunctions) primitive_roots() (algepy.SingletonStructures.Z_ class method) prob() (algepy.DiscreteFunctions.PrimeNumberTheorem static method)

Q

Q (class in algepy.QuadraticStructures) Quad_Q_ (class in algepy.QuadraticStructures) Quad_Z_ (class in algepy.QuadraticStructures)

QuadInt (class in algepy.QuadraticStructures) QuadIntRing() (in module algepy.QuadraticStructures) QuadRat (class in algepy.QuadraticStructures) QuadRatField() (in module algepy.QuadraticStructures)

R

R (class in algepy.SingletonStructures)

reciprocal() (algepy.QuadraticStructures.Q method)

T

to_tuple() (algepy.QuadraticStructures.C method) (algepy.QuadraticStructures.Q method)

total_order() (algepy.SingletonStructures.Z_ class method) trace() (algepy.QuadraticStructures.QuadInt static method) (algepy.QuadraticStructures.QuadRat static method)

U

unit_order() (algepy.SingletonStructures.Z_ class method)

unit_power() (algepy.QuadraticStructures.Quad_Z_ class method) units() (algepy.SingletonStructures.Z_ class method)

Z

Z (class in algepy.SingletonStructures) Z_ (class in algepy.SingletonStructures) Z__ (in module algepy.SingletonStructures) Z_mod_() (in module algepy.SingletonStructures) Z_n (class in algepy.SingletonStructures)

zero() (algepy.QuadraticStructures.C static method) (algepy.QuadraticStructures.Q static method) (algepy.QuadraticStructures.Quad_Z_ class method) (algepy.SingletonStructures.R static method) (algepy.SingletonStructures.Z static method) (algepy.SingletonStructures.Z_ class method)

Λ

λ() (algepy.DiscreteFunctions.ArithmeticFunctions static method)

Μ

μ() (algepy.DiscreteFunctions.ArithmeticFunctions static method)

Π

π() (algepy.DiscreteFunctions.PrimeNumberTheorem static method)

Σ

σ() (algepy.DiscreteFunctions.ArithmeticFunctions static method)

σ_k() (algepy.DiscreteFunctions.ArithmeticFunctions static method)

Τ

Τ() (algepy.DiscreteFunctions.ArithmeticFunctions static method)

Φ

φ() (algepy.DiscreteFunctions.ArithmeticFunctions static method)

Ω

Ω() (algepy.DiscreteFunctions.ArithmeticFunctions static method)

ω() (algepy.DiscreteFunctions.ArithmeticFunctions static method)