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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)
 -- .00571757s elapsed
 -- .00962249s elapsed
(number Of blocks, 26)
 -- .000186998s elapsed
1
 -- .000147045s elapsed
1
 -- .000136188s elapsed
1
 -- .000136308s elapsed
1
 -- .000140469s elapsed
2
 -- .000139173s elapsed
 2
2
 -- .000159149s elapsed
 2
2
 -- .00016539s elapsed
 2
2 3
 -- .000132093s elapsed
 2
2 3
 -- .000133468s elapsed
 2
2 3
 -- .000124364s elapsed
 2
2
 -- .000127301s elapsed
 2
2
 -- .000121141s elapsed
2
 -- .000116124s elapsed
2
 -- .000128412s elapsed
 2
2
 -- .000124333s elapsed
 2
2
 -- .000133669s elapsed
 2
2 3
 -- .000135212s elapsed
 2
2 3
 -- .000139173s elapsed
 2
2 3
 -- .000134181s elapsed
 2
2
 -- .000127445s elapsed
 2
2
 -- .000121516s elapsed
2
 -- .000123797s elapsed
1
 -- .000123772s elapsed
1
 -- .000126308s elapsed
1
 -- .000122212s 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.