Triplets : Table of Contents

• Triplets -- Betti diagrams and hypercohomology tables associated to triplets of degree sequences
• Betti1(Triplet) -- Betti numbers of first pure complex
• Betti3(Triplet) -- Betti numbers of the three pure complexes
• BettiDiagram1(Triplet) -- Betti diagram of first pure complex
• BettiDiagram3(Triplet) -- Betti diagrams of the three pure complexes
• binPol(RingElement,ZZ,ZZ) -- product of two binomial polynomials
• chiPol(RingElement,ZZ,List,List) -- Hilbert polynomial of cohomology sheaves
• cohMatrix(ZZ,ZZ,Triplet) -- cohomology table in matrix form
• cohTable(ZZ,ZZ,Triplet) -- cohomology table
• conj(List,ZZ) -- conjugate of degree sequence
• dualHomTriplet(Triplet) -- the dual homology triplet
• hilbCoeff(Triplet) -- coefficients of Hilbert polynomial
• hilbPol(RingElement,ZZ,List,List) -- Hilbert polynomial
• isDegreeTriplet(Triplet) -- checks if it is a degree triplet
• isHomologyTriplet(Triplet) -- checks if it is a homology triplet
• rotBack(Triplet) -- backward cyclic permutation
• rotForw(Triplet) -- forward cyclic permutation
• strands(List) -- strand span of degree sequence
• strandsL(ZZ,List) -- strand span as a subset of [0,n]
• toDegree(Triplet) -- from homology triplet to degree triplet
• toHomology(Triplet) -- from degree triplet to homology triplet
• Triplet -- triplet
• triplet(List,List,List) -- make a triplet
• type(Triplet) -- number of variables