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TorAlgebra :: torAlgData(Ideal)

torAlgData(Ideal) -- invariants of a local ring and its class (w.r.t. multiplication in homology)

Synopsis

Description

See torAlgData(QuotientRing).

i1 : Q = QQ[x,y,z];
i2 : data = torAlgData (ideal(x*y,y*z,x^3,x^2*z,x*z^2-y^3,z^3))

                                        2    3    4
                             2 + 2T - 2T  - T  + T
o2 = HashTable{BassSeries => ----------------------    }
                                       2     3    4
                             1 - T - 5T  - 2T  + T
               c => 3
               Class => G
               e => 3
               h => 0
               isCI => false
               isGolod => false
               isGorenstein => false
               m => 6
               n => 2
               p => 0
                                               2
                                        (1 + T)
               PoincareSeries => ----------------------
                                           2     3    4
                                 1 - T - 5T  - 2T  + T
               q => 1
               r => 3

o2 : HashTable
i3 : data#"PoincareSeries"

                   2
            (1 + T)
o3 = ----------------------
               2     3    4
     1 - T - 5T  - 2T  + T

o3 : Expression of class Divide