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2.2.2 Commands and Functions for INT

abs	absolute value of a number
AdjacentMinors	list of adjacent minors of a matrix
AffHilbertFn	the affine Hilbert function
ArrBoolean	boolean arrangement
ArrBraid	braid arrangement
ArrCatalanA	Catalan arrangement of type A
ArrCatalanB	Catalan arrangement of type B
ArrCatalanD	Catalan arrangement of type D
ArrShiA	Shi arrangement of type A
ArrShiB	Shi arrangement of type B
ArrShiCatalanA	Shi-Catalan arrangement of type A with multiplicities
ArrShiCatalanB	Shi-Catalan arrangement of type B with given multiplicities
ArrShiCatalanD	Shi-Catalan arrangement of type D with given multiplicities
ArrShiD	Shi arrangement of type D
ArrTypeB	reflection arrangement of type B
ArrTypeD	reflection arrangement of type D
ascii	convert between characters and ascii code
AsINT	convert into an INT
AsRAT	convert into a RAT
binomial	binomial coefficient
BinomialRepr, BinomialReprShift	binomial representation of integers
CatalanNumber	Catalan number
ChebyshevPoly	Orthogonal Polynomials: Chebyshev, Hermite, Laguerre
ContFracToRat	convert continued fraction to rational
CoprimeFactor	determine factor of N coprime to given base
CoprimeFactorBasis	determine coprime factor base for a set of integers or ring elements
CRT	Chinese Remainder Theorem
CRTPoly	Chinese Remainder Theorem on polynomial coefficients
cyclotomic	n-th cyclotomic polynomial
DecimalStr	convert rational number to decimal string
den	denominator
DensePoly	the sum of all power-products of a given degree
DicksonPoly	Dickson polynomial
div	quotient for integers
ElimMat	matrix for elimination ordering
EulerTotient	Euler Totient function for positive integers
EvalHilbertFn	evaluate the Hilbert function
exponents	the list of exponents of the leading term of a polynomial
Ext	presentation Ext modules as quotients of free modules
factorial	factorial function
FactorINT	find prime factors of an integer
FactorMultiplicity	multiplicity of a factor of an integer
fibonacci	n-th fibonacci number
first	the first N elements of a list
flatten	flatten a list
FloatApprox	approx. of rational number of the form M*2^E
FloatStr	convert rational number to a decimal string
FloorLog2, FloorLog10, FloorLogBase	integer part of the logarithm
FloorRoot	integer part of r-th root of an integer
FloorSqrt	(truncated) square root of an integer
fold	inset newlines into a long string
FoldToListInput	convert string so it looks like a list of short strings
format	convert object to formatted string
GBasis TimeOut	compute a Groebner basis with a timeout
gcd	greatest common divisor
GenericPoints	random projective points
GetCol	convert a column of a matrix into a list
GetRow	convert a row of a matrix into a list
graeffe	graeffe transformation (squares the roots)
HermitePoly	Orthogonal Polynomials: Chebyshev, Hermite, Laguerre
HilbertFn	the Hilbert function
HilbertMat	create a Hilbert matrix over QQ
HomogCompt	homogeneous part of given degree
IdentityMat	the identity matrix
incr, decr	increment/decrement a counter
indent, IndentStr	prints in a more readable way
indet	individual indeterminates
insert [OBSOLESCENT]	[OBSOLESCENT] insert an object in a list
InverseSystem	Inverse system of an ideal of derivations
IsCoprime	checks if two elements are coprime
IsDivisible	checks if A is divisible by B
IsEven, IsOdd	test whether an integer is even or odd
IsInteger	check if a RINGELEM is integer
IsLRSDegenerateOrder	checks the given polynomial for n-LRS-degeneracy
IsMinusOne	test whether an object is -1
IsOne	test whether an object is one
IsPowerOf2	check if an integer is a power of 2
IsPrime	prime integer test
IsProbPrime	checks if an integer is a probable prime
IsSigmaGoodPrime	check if INT is good prime for IDEAL
IsSqFree	check if an INT or RINGELEM is square-free
IsSquare	check if an INT is a square
IsZero	test whether an object is zero
IsZeroCol, IsZeroRow	test whether a column(row) is zero
KroneckerSymbol	Kronecker symbol of R mod M
LaguerrePoly	Orthogonal Polynomials: Chebyshev, Hermite, Laguerre
last	the last N elements of a list
lcm	least common multiple
LexMat	matrices for std. term-orderings
MakeMatByRows, MakeMatByCols	convert a list into a matrix
MakeTerm	returns a monomial (power-product) with given exponents
MakeTermOrdMat	Make a term order matrix from a given matrix
MantissaAndExponent10	convert rational number to a float
MantissaAndExponent2	convert rational number to a binary float
max	a maximum element of a sequence or list
min	a minimum element of a sequence or list
minors	list of minor determinants of a matrix
mod	remainder for integers
MoebiusFn	Moebius function mu on the whole numbers
NewFreeModule	create a new FreeModule
NewList	create a new list
NewMat	Zero matrix
NewMatFilled	matrix filled with value
NewPolyRing	create a new PolyRing
NewRingTwinFloat	create a new twin-float ring
NewZZmod	create a new finite ring (integers mod N)
NextPrime, NextProbPrime	find the next prime number
NmzSetVerbosityLevel	Set the verbosity state for Normaliz
num	numerator
NumPartitions	number of partitions of an integer
OpenSocket	open a socket connection
operators, shortcuts	Special characters equivalent to commands
partitions	partitions of an integer
PosetJoin	join between two elements of a poset from the relations of the poset
PosetMeet	meet between two elements of a poset from the relations of the poset
PosetNRank	rank of the node N from the relations of the graded poset
power	compute a power
PowerMod	compute a modular power efficiently
PrevPrime, PrevProbPrime	find the previous prime number
PrimitiveRoot	find a primitive root modulo a prime
primorial	primorial function
product	the product of the elements of a list
radical	radical of an ideal
random	random integer
RandomLinearForm	random linear form in polynomial ring
RandomNBitPrime	Random prime with N bits
RandomPermutation	random permutation (of indices)
RandomSmallPrime	Random prime between 5 and N
RandomSparseNonSing01Mat	random sparse non-singular (0,1) matrix
RandomSubset	random subset
RandomSubsetIndices	indices for random subset
RandomTuple	random tuple
RandomTupleIndices	indices for random tuples
RandomUnimodularMat	random unimodular matrix
RatReconstructByContFrac	rational reconstruction from modular image
RatReconstructByLattice	rational reconstruction from modular image
RatReconstructPoly	Rational reconstruction of polynomial coefficents
RatReconstructWithBounds	deterministic rational reconstruction from modular image
RelNotes	print the release notes
remove	remove an object in a list
reseed	reseed the pseudo-random number generator
RevLexMat	matrix for rev lex term-ordering
RingElem	convert an expression into a RINGELEM
RingQQt	pre-defined polynomial rings
RootBound	bound on roots of a polynomial over QQ
SAGBI, SAGBIHomog	SAGBI bases for subalgebra
SatSAGBI	SAGBI bases for subalgebra
ScientificStr	convert integer/rational to a floating-point string
SectionalMatrix	sectional matrix
SetCol	set a list as a column into a matrix
SetEntry	set an entry into a matrix
SetRow	set a list as a row into a matrix
SetStackSize	secret ;-)
SetVerbosityLevel	set the verbosity level
sign	the sign of a number
SleepFor	Make program sleep for a specified time
SmallestNonDivisor	find smallest prime which does not divide an integer
SmoothFactor [OBSOLESCENT]	[OBSOLESCENT] see FactorINT TrialDiv variant
SourceRegion	read commands from a region in a file
spaces	return a string of spaces
SprintTrunc	convert to a string and truncate
StdDegLexMat	matrix for std deg lex term-ordering
StdDegRevLexMat	matrix for std deg rev lex term-ordering
submat	submatrix
subsets	returns all sublists of a list
substring	substring of a string
sum	the sum of the elements of a list
SwapCols	swap two columns in a matrix
SwapRows	swap two rows in a matrix
SwinnertonDyerPoly	compute Swinnerton-Dyer polynomial with given roots
SymbolRange	range of symbols for the indeterminates of a PolyRing
syz	syzygy modules
tuples	N-tuples
WithoutNth	removes the N-th component from a list
XelMat	matrices for std. term-orderings
ZeroMat	matrix filled with 0