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carpetDet -- compute the determinant of the crucial constant strand of a carpet X(a,b)

Description

We compute nonminimal resolution F of the carpet of type (a,b) over a finite prime field, Lift this to a resolution over ZZ, introduce the fine grading, grep the various blocks of the crucial map in the a-th strand, compute their determinants and return their product.

i1 : a=4,b=4

o1 = (4, 4)

o1 : Sequence
i2 : d=carpetDet(a,b)
 -- .00965493s elapsed
 -- .0151173s elapsed
 -- .000344205s elapsed
 -- .000325804s elapsed
 -- .000314684s elapsed
 -- .000294243s elapsed
 -- .000300484s elapsed
 -- .000339444s elapsed
 -- .000346564s elapsed
 -- .000333564s elapsed
 -- .000358485s elapsed
 -- .000324244s elapsed
 -- .000323484s elapsed
 -- .000313004s elapsed
 -- .000266524s elapsed
 -- .000292763s elapsed
 -- .000271003s elapsed
 -- .000286084s elapsed
 -- .000276724s elapsed
 -- .000296364s elapsed
 -- .000330844s elapsed
 -- .000290564s elapsed
 -- .000282563s elapsed
 -- .000267643s elapsed
 -- .000264444s elapsed
 -- .000274924s elapsed
 -- .000272323s elapsed
 -- .000271924s elapsed
(number Of blocks, 26)
1
1
1
1
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
1
1
1
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet:

  • carpetDet(ZZ,ZZ)

For the programmer

The object carpetDet is a method function.


The source of this document is in K3Carpets.m2:1335:0.