FACTO
(integer): gives the list of prime factors. Example:3150 -> { 2 3 3 5 5 7 }
DIVIS
: gives a list of divisors. Example:21 -> { 1 7 3 21 }
SQRT
: formal square root of an integer or complex integer
or polynomial. Examples:
GCD1
: greatest common divisor (integers or polynomials).
'X^2+2*X+1' 'X^2+3*X+2' GCD1 -> 'X+1'
25 15 GCD1 -> 5
LCM
: lowest common multiple
(GCD
LCM
). Examples:'X^2+2*X+1' 'X^2+3*X+2' LCM -> '(X^2+2*X+1)*(X+2)'
25 15 LCM -> 75
GCD3
: extended gcd algorithm, given x and y returns d ,
u and v s.t.:
(d is a multiple of the GCD
of x and y by an invertible, i.e.
an integer in the univariate case)
re
:
real part of a fraction, global names are always considered as reals
im
: imaginary part of a fraction,
conj
: conjugate of a fraction,