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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)
 -- .00716201s elapsed
 -- .0133826s elapsed
 -- .000299609s elapsed
 -- .000179847s elapsed
 -- .000162955s elapsed
 -- .000126526s elapsed
 -- .000142926s elapsed
 -- .000126697s elapsed
 -- .000155239s elapsed
 -- .00015569s elapsed
 -- .000149187s elapsed
 -- .000136775s elapsed
 -- .000263041s elapsed
 -- .000136896s elapsed
 -- .000129642s elapsed
 -- .000129451s elapsed
 -- .000131325s elapsed
 -- .000128961s elapsed
 -- .000169296s elapsed
 -- .000147876s elapsed
 -- .000159427s elapsed
 -- .000147596s elapsed
 -- .000153215s elapsed
 -- .000131305s elapsed
 -- .000140953s elapsed
 -- .000137597s elapsed
 -- .000143206s elapsed
 -- .000146043s 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 /build/reproducible-path/macaulay2-1.25.05+ds/M2/Macaulay2/packages/K3Carpets.m2:1335:0.