EagonData -- HashTable storing output of eagon

Synopsis

Usage:

E = eagon(R,b)
Inputs:
- R, a ring,
- b, an integer,
Outputs:
- E, an instance of the type EagonData,

Description

The command E = eagon(R,b) puts the EagonData E in R.cache so that E== R.cache.EagonData, and causes the message "EagonData in <ring>.cache computed to length b"

i1 : R = ZZ/101[x,y]/ideal"x2,xy,y2"

o1 = R

o1 : QuotientRing

i2 : E = eagon(R,3)

o2 = EagonData in <ring>.cache computed to length 3

o2 : EagonData

i3 : E === R.cache.EagonData

o3 = true

Functions and methods returning an object of class EagonData :

"eagon(Ring,ZZ)" -- see eagon -- compute the Eagon double complex

Methods that use an object of class EagonData :

"eagonBeta(EagonData)" -- see eagonBeta -- print the eagonBeta maps in the Eagon resolution
"eagonBeta(EagonData,ZZ)" -- see eagonBeta -- print the eagonBeta maps in the Eagon resolution
"eagonResolution(EagonData)" -- see eagonResolution -- computes a resolution of the residue field
"horizontalStrand(EagonData,ZZ)" -- see horizontalStrand -- extracts one horizontal strand from an Eagon double complex
net(EagonData) -- prints the homological degree to which the EagonData has been computed
"picture(EagonData)" -- see picture -- information about components of a labeled Matrix or ChainComplex
resolution(EagonData) -- outputs the resolution that is the 0th row of the Eagon double complex
"verticalStrand(EagonData,ZZ)" -- see verticalStrand -- extracts one vertical strand from an Eagon double complex

For the programmer

The object EagonData is a type, with ancestor classes HashTable < Thing.

EagonData -- HashTable storing output of eagon

Synopsis

Description

See also

Functions and methods returning an object of class EagonData :

Methods that use an object of class EagonData :

For the programmer