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Integer Functions

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Gaussian Integers

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abs
The absolute value function

chrem
Chinese Remainder Algorithm

combinat/fibonacci
compute Fibonacci numbers or polynomials

factorial
compute factorial

ifactor
integer factorization

ifactors
integer factorization

igcd
greatest common divisor of integers

igcdex
extended Euclidean algorithm for integers

ilog10
compute integer base b logarithm

iperfpow
determine if an integer is a perfect power

iratrecon
rational reconstruction

irem
integer remainder

isolve
solve equations for integer solutions

isprime
primality test

isqrfree
integer square-free factorization

isqrt
integer square root

issqr
test if an integer is a perfect square

max
find the maximum of numbers

mod
computation over the integers modulo m

modp1
univariate polynomial arithmetic modulo n

modp2
bivariate polynomial arithmetic modulo n

numtheory/bigomega
number of prime divisors counted with multiplicity

numtheory/divisors
the set of positive divisors

numtheory/factorEQ
integer factorization in Z(sqrt(d)) where Z(sqrt(d)) is a Euclidean ring

numtheory/sq2factor
integer factorization in Z(sqrt(2))

rand
random number generator

randomize
reset the seed for random number generators

sign
sign of a number or a polynomial

surd
non-principal root function

trunc
truncate a number to the next nearest integer towards 0

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