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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)
 -- .00572072s elapsed
 -- .0105918s elapsed
(number Of blocks, 26)
 -- .000136995s elapsed
1
 -- .000120522s elapsed
1
 -- .000116711s elapsed
1
 -- .000114283s elapsed
1
 -- .000113596s elapsed
2
 -- .000121513s elapsed
 2
2
 -- .000130943s elapsed
 2
2
 -- .000132968s elapsed
 2
2 3
 -- .000122307s elapsed
 2
2 3
 -- .000116974s elapsed
 2
2 3
 -- .000108142s elapsed
 2
2
 -- .00010736s elapsed
 2
2
 -- .00010719s elapsed
2
 -- .000107067s elapsed
2
 -- .000107153s elapsed
 2
2
 -- .000106817s elapsed
 2
2
 -- .000114756s elapsed
 2
2 3
 -- .000114888s elapsed
 2
2 3
 -- .000118856s elapsed
 2
2 3
 -- .000117125s elapsed
 2
2
 -- .000111269s elapsed
 2
2
 -- .000107251s elapsed
2
 -- .000103815s elapsed
1
 -- .000108312s elapsed
1
 -- .000112122s elapsed
1
 -- .00010458s elapsed
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.