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2.11.4 Commands and Functions returning RINGELEM

abs	absolute value of a number
apply	apply homomorphism
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 and indet
CoeffOfTerm	coefficient of a term of a polynomial
CommonDenom	Common denominator of a polynomial with rational coefficients
ComputeElimFirst	ComputeElimFirst
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
deriv	the derivative of a polynomial or rational function
det	the determinant of a matrix
DF	the degree form of a 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 first non-zero entry in a MODULEELEM
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 with respect to an indeterminate
ImplicitHypersurface	implicitization of hypersurface
indet	individual indeterminates
Interpolate	interpolating polynomial
interreduce, 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, MinPolyQuotDef, MinPolyQuotElim, MinPolyQuotMat	compute a minimal polynomial
monic	divide polynomials by their leading coefficients
NF	normal form
NmzDiagInvariants	ring of invariants of a diagonalizable group action
NmzEhrhartRing	Computes the 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
pfaffian	the Pfaffian of a skew-symmetric matrix
PthRoot	Compute p-th root
QZP	change field for polynomials and ideals
radical	radical of an ideal
RationalAffinePoints	Affine rational solutions
RationalProjectivePoints	Projective rational solutions
RationalSolve	Rational solutions for polynomial system
RatReconstructPoly	Rational reconstruction of polynomial coefficents
ReadExpr [OBSOLESCENT]	[OBSOLESCENT] renamed RingElem
ReducedGBasis	compute reduced Groebner basis
resultant	the resultant of two polynomials
RingElem	convert an expression into a RINGELEM
SymbolRange	range of symbols for the indeterminates of a PolyRing
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