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 2.2.2 Commands and Functions for INT
 abs absolute value of a number 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 ChebyshevPoly Orthogonal Polynomials: Chebyshev, Hermite, Laguerre ContFracToRat convert continued fraction to rational 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 date the date 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's 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 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 format convert object to formatted string GBasisTimeout 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 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 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 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 IsMinusOne test whether an object is -1 IsOne test whether an object is one 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 MakeTermOrd 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 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 RandomPermutation random permutation (of indices) 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 ScientificStr convert integer/rational to a floating-point string SectionalMatrix sectional matrix SetCol set a list as a column 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 find small prime factors of an integer 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 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