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EagonResolution : Index
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CompressBeta
-- CompressBeta is an option for eagon, default is true
Display
-- Option for eagonBeta, default is "picture"
DisplayBlocks
-- Display => "DisplayBlocks" option for picture
eagon
-- compute the Eagon double complex
eagon(...,CompressBeta=>...)
-- compute the Eagon double complex
eagon(...,Verbose=>...)
-- compute the Eagon double complex
eagon(Ring,ZZ)
-- compute the Eagon double complex
eagonBeta
-- print the eagonBeta maps in the Eagon resolution
eagonBeta(...,Display=>...)
-- print the eagonBeta maps in the Eagon resolution
eagonBeta(...,Verbose=>...)
-- print the eagonBeta maps in the Eagon resolution
eagonBeta(EagonData)
-- print the eagonBeta maps in the Eagon resolution
eagonBeta(EagonData,ZZ)
-- print the eagonBeta maps in the Eagon resolution
EagonData
-- HashTable storing output of eagon
EagonResolution
-- Construct the Eagon double complex, which contains a resolution of the residue field
eagonResolution
-- computes a resolution of the residue field
eagonResolution(EagonData)
-- computes a resolution of the residue field
eagonResolution(Ring,ZZ)
-- computes a resolution of the residue field
golodBetti
-- list the ranks of the free modules in the resolution of a Golod module
golodBetti(ChainComplex,ChainComplex,ZZ)
-- list the ranks of the free modules in the resolution of a Golod module
golodBetti(Module,ZZ)
-- list the ranks of the free modules in the resolution of a Golod module
horizontalStrand
-- extracts one horizontal strand from an Eagon double complex
horizontalStrand(EagonData,ZZ)
-- extracts one horizontal strand from an Eagon double complex
mapComponent
-- extract a single component from a labeled map
mapComponent(Matrix,Sequence,Sequence)
-- extract a single component from a labeled map
net(EagonData)
-- prints the homological degree to which the EagonData has been computed
picture
-- information about components of a labeled Matrix or ChainComplex
picture(...,Display=>...)
-- information about components of a labeled Matrix or ChainComplex
picture(...,Transpose=>...)
-- information about components of a labeled Matrix or ChainComplex
picture(...,Verbose=>...)
-- information about components of a labeled Matrix or ChainComplex
picture(ChainComplex)
-- information about components of a labeled Matrix or ChainComplex
picture(EagonData)
-- information about components of a labeled Matrix or ChainComplex
picture(Matrix)
-- information about components of a labeled Matrix or ChainComplex
resolution(EagonData)
-- outputs the resolution that is the 0th row of the Eagon double complex
Transpose
-- Transpose => false, default option for picture
verticalStrand
-- extracts one vertical strand from an Eagon double complex
verticalStrand(EagonData,ZZ)
-- extracts one vertical strand from an Eagon double complex