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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)
 -- .00662724s elapsed
 -- .0080737s elapsed
 -- .000160612s elapsed
 -- .000127812s elapsed
 -- .000113251s elapsed
 -- .000112161s elapsed
 -- .000104631s elapsed
 -- .000108231s elapsed
 -- .000126931s elapsed
 -- .000150141s elapsed
 -- .000122502s elapsed
 -- .000110481s elapsed
 -- .000160332s elapsed
 -- .000108141s elapsed
 -- .000117991s elapsed
 -- .000100081s elapsed
 -- .00010066s elapsed
 -- .00009022s elapsed
 -- .0000984s elapsed
 -- .000101811s elapsed
 -- .000132181s elapsed
 -- .000117401s elapsed
 -- .00010278s elapsed
 -- .00009435s elapsed
 -- .000090911s elapsed
 -- .000105271s elapsed
 -- .000104551s elapsed
 -- .000097722s 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.