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2.5.4 Commands and Functions returning LIST

AdjacentMinors	list of adjacent minors of a matrix
ArrBettiNumbers	Betti numbers of an arrangement of hyperplanes
ArrBoolean	boolean arrangement
ArrBraid	braid arrangement
ArrCatalanA	Catalan arrangement of type A
ArrCatalanB	Catalan arrangement of type B
ArrCatalanD	Catalan arrangement of type D
ArrCone	cone of an arrangement of hyperplanes
ArrDeletion	deletes a hyperplane from a list of hyperplanes
ArrExponents	exponents of a free arrangement of hyperplanes
ArrFlats	list of flats of an arrangement of hyperplanes
ArrGraphical	graphical arrangement
ArrLattice	lattice of an arrangement of hyperplanes
ArrRestriction	arrangement of hyperplanes A restricted to a hyperplane
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
ArrSignedGraphical	signed graphical arrangement
ArrToMultiArr	multiarrangement from an arrangement and a list of multiplicities
ArrTypeB	reflection arrangement of type B
ArrTypeD	reflection arrangement of type D
ascii	convert between characters and ascii code
BBasis5	Border Basis of zero dimensional ideal
BettiNumbers	(Multi-)graded Betti numbers
BinomialRepr, BinomialReprShift	binomial representation of integers
CanonicalBasis	canonical basis of a free module
CartesianProduct, CartesianProductList	Cartesian product of lists
CFApproximants	continued fraction approximants
coefficients	list of coefficients of a polynomial
CoefficientsWRT	list of coeffs and PPs of a poly wrt indet or list of indets
CoeffListWRT	list of coefficients of a polynomial wrt an indet
CoeffListWRTSupport	list of coefficients of a polynomial wrt a power-product basis
compts	list of components of a ModuleElem
concat	concatenate lists
ConcatLists	concatenate a list of lists
ContFrac	continued fraction quotients
CoprimeFactorBasis	determine coprime factor base for a set of integers or ring elements
covers	a poset description from the list of the strict relations
CurrentTypes	lists all data types
diff	returns the difference between two lists
distrib	the distribution of objects in a list
eigenfactors	eigenfactors of a matrix
eigenvectors	eigenvalues and eigenvectors of a matrix
EquiIsoDec	equidimensional isoradical decomposition
exponents	the list of exponents of the leading term of a polynomial
ExternalLibs	Linked external libraries
FGLM5	perform a FGLM Groebner Basis conversion
fields	list the fields of a record
flatten	flatten a list
FrbAlexanderDual	Alexander Dual of monomial ideals
FrbAssociatedPrimes	Associated primes of monomial ideals
FrbIrreducibleDecomposition	Irreducible decomposition of monomial ideals
FrbMaximalStandardMonomials	Maximal standard monomials of monomial ideals
FrbPrimaryDecomposition	Primary decomposition of monomial ideals
GBasis	calculate a Groebner basis
GBasis TimeOut	compute a Groebner basis with a timeout
GBasisByHomog	calculate a Groebner basis by homogenization
GenericPoints	random projective points
GenRepr	representation in terms of generators
gens	list of generators of an ideal
GensJacobian	set of generators of the Jacobian ideal of a polynomial
GetCol	convert a column of a matrix into a list
GetCols	convert a matrix into a list of lists
GetRow	convert a row of a matrix into a list
GetRows	convert a matrix into a list of lists
GraverBasis	Graver basis
GroebnerFanIdeals	all reduced Groebner bases of an ideal
GroebnerFanReducedGBases	Groebner fan reduced GBases
HilbertBasisKer	Hilbert basis for a monoid
homog	homogenize wrt an indeterminate
HVector	the h-vector of a module or quotient object
in	list element selector in list constructor
indets	list of indeterminates in a PolyRing
IndetSubscripts	the indices in the name of an indeterminate
interreduced	interreduce a list of polynomials
intersection	intersect lists, ideals, or modules
IntersectionList	intersect lists, ideals, or modules
InverseSystem	Inverse system of an ideal of derivations
JanetBasis	the Janet basis of an ideal
LinKerBasis	find the kernel of a matrix
LRSDegeneracyOrder	the LRS degeneracy order of a polynomial
MakeSet	remove duplicates from a list
MaxChains	maximal chains of the poset (from its relations)
MinGBoverZZ [PROTOTYPE]	[PROTOTYPE] minimal Groebner basis of polys over ZZ
MinGens	list of minimal generators
minors	list of minor determinants of a matrix
MinSubsetOfGens	list of minimal generators
moebius	Moebius function of a poset
monomials	the list of monomials of a polynomial
MultiArrExponents	exponents of a free multiarrangement of hyperplanes
MultiArrRestrictionZiegler	Ziegler multirestriction of the arrangement of hyperplanes wrt a hyperplane
MultiArrToArr	underling arrangement from a multiarrangement
NewList	create a new list
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
NonZero	remove zeroes from a list
operators, shortcuts	Special characters equivalent to commands
packages	list of loaded packages
partitions	partitions of an integer
permutations	returns all permutations of the entries of a list
PosetDual	dual of a poset from the relations of the poset
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
PrimaryDecomposition	primary decomposition of an ideal
PrimaryDecompositionGTZ0	primary decomposition of a 0-dimensional ideal
QuotientBasis	vector space basis for zero-dimensional quotient rings
QuotientBasisSorted	vector space basis for zero-dimensional quotient rings
QZP	change field for polynomials and ideals
RandomPermutation	random permutation (of indices)
RandomSubset	random subset
RandomSubsetIndices	indices for random subset
RandomTuple	random tuple
RandomTupleIndices	indices for random tuples
RealRoots	real roots of a univariate polynomial
RealRootsApprox	approximations to the real roots of a univariate poly
ReducedGBasis	reduced Groebner basis
res	free resolution
reverse, reversed	reverse a list
RingElemList, RingElems	convert expressions into a LIST of RINGELEM
RingsOf	list of the rings of an object
SAGBI, SAGBIHomog	SAGBI bases for subalgebra
SatSAGBI	SAGBI bases for subalgebra
SeparatorsOfPoints	separators for affine points
SeparatorsOfProjectivePoints	separators for projective points
shape	extended list of types involved in an expression
sorted	sort a list
SortedBy	sort a list
starting	list functions starting with a given string
StdBasis	Standard basis
SturmSeq	Sturm sequence of a univariate polynomial
SubalgebraMinGens	list of minimal generators as subalgebra
subsets	returns all sublists of a list
support	the list of terms of a polynomial or moduleelem
SymbolRange	range of symbols for the indeterminates of a PolyRing
SymmetricPolys	list of symmetric polynomials
tail	remove the first element of a list
TopLevelFunctions	returns the functions available at top-level
tuples	N-tuples
TVecFromHF	Type vector from Hilbert Function
UniversalGBasis	universal Groebner basis of the input ideal
wdeg	multi-degree of a polynomial
WithoutNth	removes the N-th component from a list
ZPQ	change field for polynomials and ideals