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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)
 -- .00922463s elapsed
 -- .0231351s elapsed
(number Of blocks, 26)
 -- .000289886s elapsed
1
 -- .000211982s elapsed
1
 -- .000192953s elapsed
1
 -- .00017071s elapsed
1
 -- .000164372s elapsed
2
 -- .000161287s elapsed
 2
2
 -- .0480437s elapsed
 2
2
 -- .0002518s elapsed
 2
2 3
 -- .000167827s elapsed
 2
2 3
 -- .000165002s elapsed
 2
2 3
 -- .000152484s elapsed
 2
2
 -- .000160356s elapsed
 2
2
 -- .000153055s elapsed
2
 -- .000165422s elapsed
2
 -- .000160305s elapsed
 2
2
 -- .000154006s elapsed
 2
2
 -- .000176559s elapsed
 2
2 3
 -- .000166845s elapsed
 2
2 3
 -- .000208125s elapsed
 2
2 3
 -- .000218681s elapsed
 2
2
 -- .000159373s elapsed
 2
2
 -- .000180075s elapsed
2
 -- .000145743s elapsed
1
 -- .00015673s elapsed
1
 -- .00016334s elapsed
1
 -- .000151983s 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.