HyperplaneArrangements : Index
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Arrangement -- the class of all hyperplane arrangements
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arrangement -- make a hyperplane arrangement
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Arrangement ** Ring -- change the coefficient ring of an arrangement
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Arrangement ** RingMap -- change the ring of an arrangement
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Arrangement ++ Arrangement -- make the direct sum of two arrangements
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Arrangement == Arrangement -- whether two hyperplane arrangements are equal
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Arrangement ^ Flat -- construct the restriction a hyperplane arrangement to a subspace
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Arrangement _ Flat -- create the hyperplane arrangement containing a flat
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arrangement(Flat) -- get the hyperplane arrangement to which a flat belongs
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arrangement(List) -- make a hyperplane arrangement
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arrangement(List,Ring) -- make a hyperplane arrangement
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arrangement(Matrix) -- make a hyperplane arrangement
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arrangement(Matrix,Ring) -- make a hyperplane arrangement
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arrangement(RingElement) -- make a hyperplane arrangement
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arrangement(String) -- access a database of classic hyperplane arrangements
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arrangement(String,PolynomialRing) -- access a database of classic hyperplane arrangements
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arrangement(String,Ring) -- access a database of classic hyperplane arrangements
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arrangementLibrary -- access a database of classic hyperplane arrangements
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arrangementSum -- make the direct sum of two arrangements
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arrangementSum(Arrangement,Arrangement) -- make the direct sum of two arrangements
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CentralArrangement -- the class of all central hyperplane arrangements
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circuits -- list the circuits of an arrangement
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circuits(CentralArrangement) -- list the circuits of an arrangement
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closure -- closure operation in the intersection lattice
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closure(Arrangement,Ideal) -- closure operation in the intersection lattice
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closure(Arrangement,List) -- closure operation in the intersection lattice
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coefficients(Arrangement) -- make a matrix from the coefficients of the defining equations
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compress(Arrangement) -- extract nonzero equations
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cone(Arrangement,RingElement) -- creates an associated central hyperplane arrangement
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cone(Arrangement,Symbol) -- creates an associated central hyperplane arrangement
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deCone -- produce an affine arrangement from a central one
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deCone(CentralArrangement,RingElement) -- produce an affine arrangement from a central one
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deCone(CentralArrangement,ZZ) -- produce an affine arrangement from a central one
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dehomogenization -- produce an affine arrangement from a central one
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deletion -- deletion of a subset of an arrangement
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deletion(Arrangement,List) -- deletion of a subset of an arrangement
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deletion(Arrangement,RingElement) -- deletion of a subset of an arrangement
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deletion(Arrangement,Set) -- deletion of a subset of an arrangement
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deletion(Arrangement,ZZ) -- deletion of a subset of an arrangement
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der -- compute the module of logarithmic derivations
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der(...,Strategy=>...) -- compute the module of logarithmic derivations
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der(CentralArrangement) -- compute the module of logarithmic derivations
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der(CentralArrangement,List) -- compute the module of logarithmic derivations
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dual(CentralArrangement) -- the Gale dual of an arrangement
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dual(CentralArrangement,Ring) -- the Gale dual of an arrangement
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EPY -- compute the Eisenbud-Popescu-Yuzvinsky module of an arrangement
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EPY(Arrangement) -- compute the Eisenbud-Popescu-Yuzvinsky module of an arrangement
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EPY(Arrangement,PolynomialRing) -- compute the Eisenbud-Popescu-Yuzvinsky module of an arrangement
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EPY(Ideal) -- compute the Eisenbud-Popescu-Yuzvinsky module of an arrangement
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EPY(Ideal,PolynomialRing) -- compute the Eisenbud-Popescu-Yuzvinsky module of an arrangement
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euler(CentralArrangement) -- compute the Euler characteristic of the projective complement
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euler(Flat) -- compute the Euler characteristic of the projective complement
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eulerRestriction -- form the Euler restriction of a central multiarrangement
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eulerRestriction(CentralArrangement,List,ZZ) -- form the Euler restriction of a central multiarrangement
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Flat -- intersection of hyperplanes
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flat -- make a flat from a list of indices
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Flat == Flat -- whether two flats are equal
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Flat ^ Flat -- compute the meet operation in the intersection lattice
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Flat | Flat -- compute the vee operation in the intersection lattice
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flat(...,Validate=>...) -- make a flat from a list of indices
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flat(Arrangement,List) -- make a flat from a list of indices
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flats -- list the flats of an arrangement of a given rank
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flats(Arrangement) -- list the flats of an arrangement of a given rank
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flats(ZZ,Arrangement) -- list the flats of an arrangement of a given rank
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flats(ZZ,CentralArrangement) -- list the flats of an arrangement of a given rank
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genericArrangement -- realize the uniform matroid using points on the monomial curve
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genericArrangement(ZZ,ZZ) -- realize the uniform matroid using points on the monomial curve
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genericArrangement(ZZ,ZZ,Ring) -- realize the uniform matroid using points on the monomial curve
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graphic -- make a graphic arrangement
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graphic(List) -- make a graphic arrangement
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graphic(List,List) -- make a graphic arrangement
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graphic(List,List,PolynomialRing) -- make a graphic arrangement
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graphic(List,List,Ring) -- make a graphic arrangement
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graphic(List,PolynomialRing) -- make a graphic arrangement
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graphic(List,Ring) -- make a graphic arrangement
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HyperplaneArrangements -- manipulating hyperplane arrangements
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hyperplanes -- the defining linear forms of an arrangement
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hyperplanes(Arrangement) -- the defining linear forms of an arrangement
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isCentral -- test to see if a hyperplane arrangement is central
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isCentral(Arrangement) -- test to see if a hyperplane arrangement is central
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isDecomposable -- whether a hyperplane arrangement decomposable in the sense of Papadima-Suciu
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isDecomposable(CentralArrangement) -- whether a hyperplane arrangement decomposable in the sense of Papadima-Suciu
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isDecomposable(CentralArrangement,Ring) -- whether a hyperplane arrangement decomposable in the sense of Papadima-Suciu
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lct -- compute the log-canonical threshold of an arrangement
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lct(CentralArrangement) -- compute the log-canonical threshold of an arrangement
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logCanonicalThreshold -- compute the log-canonical threshold of an arrangement
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logCanonicalThreshold(CentralArrangement) -- compute the log-canonical threshold of an arrangement
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make loopless -- extract nonzero equations
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make simple -- make a simple hyperplane arrangement
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makeEssential -- make an essential arrangement out of an arbitrary one
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makeEssential(CentralArrangement) -- make an essential arrangement out of an arbitrary one
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matrix(Arrangement) -- make a matrix from the defining equations
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matroid(CentralArrangement) -- get the matroid of a central arrangement
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meet -- compute the meet operation in the intersection lattice
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meet(Flat,Flat) -- compute the meet operation in the intersection lattice
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multIdeal -- compute a multiplier ideal
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multIdeal(QQ,CentralArrangement) -- compute a multiplier ideal
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multIdeal(QQ,CentralArrangement,List) -- compute a multiplier ideal
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multIdeal(ZZ,CentralArrangement) -- compute a multiplier ideal
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multIdeal(ZZ,CentralArrangement,List) -- compute a multiplier ideal
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multiplierIdeal -- compute a multiplier ideal
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multiplierIdeal(QQ,CentralArrangement) -- compute a multiplier ideal
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multiplierIdeal(QQ,CentralArrangement,List) -- compute a multiplier ideal
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multiplierIdeal(ZZ,CentralArrangement) -- compute a multiplier ideal
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multiplierIdeal(ZZ,CentralArrangement,List) -- compute a multiplier ideal
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orlikSolomon -- compute the defining ideal for the Orlik-Solomon algebra
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orlikSolomon(...,HypAtInfinity=>...) -- compute the defining ideal for the Orlik-Solomon algebra
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orlikSolomon(...,Projective=>...) -- compute the defining ideal for the Orlik-Solomon algebra
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orlikSolomon(...,Strategy=>...) -- compute the defining ideal for the Orlik-Solomon algebra
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orlikSolomon(Arrangement) -- compute the defining ideal for the Orlik-Solomon algebra
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orlikSolomon(Arrangement,PolynomialRing) -- compute the defining ideal for the Orlik-Solomon algebra
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orlikSolomon(Arrangement,Ring) -- compute the defining ideal for the Orlik-Solomon algebra
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orlikSolomon(Arrangement,Symbol) -- compute the defining ideal for the Orlik-Solomon algebra
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orlikSolomon(CentralArrangement,PolynomialRing) -- compute the defining ideal for the Orlik-Solomon algebra
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orlikTerao -- compute the defining ideal for the Orlik-Terao algebra
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orlikTerao(...,NaiveAlgorithm=>...) -- compute the defining ideal for the Orlik-Terao algebra
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orlikTerao(CentralArrangement) -- compute the defining ideal for the Orlik-Terao algebra
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orlikTerao(CentralArrangement,PolynomialRing) -- compute the defining ideal for the Orlik-Terao algebra
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orlikTerao(CentralArrangement,Symbol) -- compute the defining ideal for the Orlik-Terao algebra
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poincare -- compute the Poincaré polynomial of an arrangement
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poincare(Arrangement) -- compute the Poincaré polynomial of an arrangement
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poincare(CentralArrangement) -- compute the Poincaré polynomial of an arrangement
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Popescu -- compute the defining ideal for the Orlik-Solomon algebra
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prune(Arrangement) -- makes a new hyperplane arrangement in a polynomial ring
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randomArrangement -- generate an arrangement at random
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randomArrangement(...,Validate=>...) -- generate an arrangement at random
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randomArrangement(ZZ,PolynomialRing,ZZ) -- generate an arrangement at random
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randomArrangement(ZZ,ZZ,ZZ) -- generate an arrangement at random
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rank(CentralArrangement) -- compute the rank of a central hyperplane arrangement
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rank(Flat) -- compute the rank of a flat
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restriction -- construct the restriction a hyperplane arrangement to a subspace
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restriction(Arrangement,Flat) -- construct the restriction a hyperplane arrangement to a subspace
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restriction(Arrangement,Ideal) -- construct the restriction a hyperplane arrangement to a subspace
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restriction(Arrangement,List) -- construct the restriction a hyperplane arrangement to a subspace
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restriction(Arrangement,RingElement) -- construct the restriction a hyperplane arrangement to a subspace
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restriction(Arrangement,Set) -- construct the restriction a hyperplane arrangement to a subspace
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restriction(Arrangement,ZZ) -- construct the restriction a hyperplane arrangement to a subspace
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restriction(Flat) -- construct the restriction a hyperplane arrangement to a subspace
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ring(Arrangement) -- get the underlying ring of a hyperplane arrangement
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simplify -- make a simple hyperplane arrangement
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subArrangement -- create the hyperplane arrangement containing a flat
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subArrangement(Arrangement,Flat) -- create the hyperplane arrangement containing a flat
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subArrangement(Flat) -- create the hyperplane arrangement containing a flat
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substitute(Arrangement,Ring) -- change the ring of an arrangement
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substitute(Arrangement,RingMap) -- change the ring of an arrangement
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toList(Arrangement) -- the defining linear forms of an arrangement
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toList(Flat) -- the indices of a flat
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trim(Arrangement) -- make a simple hyperplane arrangement
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typeA -- make the hyperplane arrangement defined by a type $A_n$ root system
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typeA(ZZ) -- make the hyperplane arrangement defined by a type $A_n$ root system
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typeA(ZZ,PolynomialRing) -- make the hyperplane arrangement defined by a type $A_n$ root system
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typeA(ZZ,Ring) -- make the hyperplane arrangement defined by a type $A_n$ root system
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typeB -- make the hyperplane arrangement defined by a type $B_n$ root system
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typeB(ZZ) -- make the hyperplane arrangement defined by a type $B_n$ root system
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typeB(ZZ,PolynomialRing) -- make the hyperplane arrangement defined by a type $B_n$ root system
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typeB(ZZ,Ring) -- make the hyperplane arrangement defined by a type $B_n$ root system
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typeD -- make the hyperplane arrangement defined by a type $D_n$ root system
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typeD(ZZ) -- make the hyperplane arrangement defined by a type $D_n$ root system
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typeD(ZZ,PolynomialRing) -- make the hyperplane arrangement defined by a type $D_n$ root system
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typeD(ZZ,Ring) -- make the hyperplane arrangement defined by a type $D_n$ root system
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vee -- compute the vee operation in the intersection lattice
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vee(Flat,Flat) -- compute the vee operation in the intersection lattice