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2.11.4 Commands and Functions returning RINGELEM

abs	absolute value of a number
ArrCharPoly	characteristic polynomial of an arrangement of hyperplanes
ArrPoincarePoly	Poincare polynomial of an arrangement of hyperplanes
ArrTuttePoly	Tutte polynomial of an arrangement of hyperplanes
binomial	binomial coefficient
CanonicalRepr	representative of a class in a quotient ring
CharPoly	characteristic polynomial of a matrix
ChebyshevPoly	Orthogonal Polynomials: Chebyshev, Hermite, Laguerre
ClearDenom	clear common denominator of a polynomial with rational coeffs
CoeffHeight	the maximum of the absolute values of the coefficients of a polynomial
CoeffListWRT	list of coefficients of a polynomial wrt an indet
CoeffListWRTSupport	list of coefficients of a polynomial wrt a power-product basis
CoeffOfTerm	coefficient of a term of a polynomial
CommonDenom	Common denominator of a polynomial with rational coefficients
ComputeElimFirst	ComputeElimFirst
ConstantCoeff	constant coefficient of a polynomial
content	content of a polynomial
ContentWRT	content of a polynomial wrt and indet or a list of indets
cyclotomic	n-th cyclotomic polynomial
den	denominator
DensePoly	the sum of all power-products of a given degree
DenSigma	den of ideal, wrt to ordering sigma
deriv	the derivative of a polynomial or rational function
det	the determinant of a matrix
DF	the degree form of a polynomial
DicksonPoly	Dickson polynomial
discriminant	the discriminant of a polynomial
eigenfactors	eigenfactors of a matrix
EvalQuasiPoly	Evaluate a quasi-polynomial at an integer
FirstNonZero	the first non-zero entry in a MODULEELEM
FirstNonZeroPosn	the position of the first non-zero entry in a MODULEELEM
FixedDivisor	compute (integer) fixed divisor for polynomial
FrobeniusNormSq	Frobenius norm of a matrix
gcd	greatest common divisor
graeffe	graeffe transformation (squares the roots)
GraverBasis	Graver basis
HermitePoly	Orthogonal Polynomials: Chebyshev, Hermite, Laguerre
HilbertPoly	the Hilbert polynomial
homog	homogenize wrt an indeterminate
HomogCompt	homogeneous part of given degree
ImplicitHypersurface	implicitization of hypersurface
indet	individual indeterminates
IndetsProd	(product of) indeterminates actually in a polynomial
Interpolate	interpolating polynomial
interreduced	interreduce a list of polynomials
InverseSystem	Inverse system of an ideal of derivations
JanetBasis	the Janet basis of an ideal
LaguerrePoly	Orthogonal Polynomials: Chebyshev, Hermite, Laguerre
LC	the leading coefficient of a polynomial or ModuleElem
lcm	least common multiple
LF	the leading form of a polynomial or an ideal
LinKerBasis	find the kernel of a matrix
LM	the leading monomial of a polynomial or ModuleElem
LPP	the leading power-product of a polynomial or ModuleElem
LT	the leading term of an object
MakeTerm	returns a monomial (power-product) with given exponents
MinPoly	minimal polynomial of a matrix
MinPolyQuot	minimal polynomial in quotient ring
monic	divide polynomials by their leading coefficients
NF	normal form
NmzDiagInvariants	ring of invariants of a diagonalizable group action
NmzEhrhartRing	Ehrhart ring
NmzFiniteDiagInvariants	ring of invariants of a finite group action
NmzIntClosureMonIdeal	integral closure of a monomial ideal
NmzIntClosureToricRing	integral closure of a toric ring
NmzIntersectionValRings	intersection of ring of valuations
NmzNormalToricRing	normalization of a toric ring
NmzTorusInvariants	ring of invariants of torus action
NR	normal reduction
num	numerator
one	one of a ring
operators, shortcuts	Special characters equivalent to commands
pfaffian	the Pfaffian of a skew-symmetric matrix
PosetCharPoly	characteristic polynomial of a poset from the relations of the poset
PosetPoincarePoly	Poincare polynomial of a poset from the relations of the poset
power	compute a power
prim	primitive part of a polynomial
PthRoot	Compute p-th root
QZP	change field for polynomials and ideals
radical	radical of an ideal
RandomLinearForm	random linear form in polynomial ring
RatReconstructPoly	Rational reconstruction of polynomial coefficents
ReducedGBasis	reduced Groebner basis
resultant	the resultant of two polynomials
RingElem	convert an expression into a RINGELEM
RingElemList, RingElems	convert expressions into a LIST of RINGELEM
RootBoundTransform	transform of a polynomial, helpful for checking RootBound
ScalarProduct	scalar product
SwinnertonDyerPoly	compute Swinnerton-Dyer polynomial with given roots
SymmetricPolys	list of symmetric polynomials
UniversalGBasis	universal Groebner basis of the input ideal
zero	zero of a ring
ZPQ	change field for polynomials and ideals