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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)
 -- .00701904s elapsed
 -- .0122327s elapsed
 -- .000265947s elapsed
 -- .000164087s elapsed
 -- .000134421s elapsed
 -- .00013941s elapsed
 -- .000140001s elapsed
 -- .000138739s elapsed
 -- .000161492s elapsed
 -- .000169657s elapsed
 -- .000143828s elapsed
 -- .000143769s elapsed
 -- .000280946s elapsed
 -- .000134632s elapsed
 -- .000129923s elapsed
 -- .000123501s elapsed
 -- .000127027s elapsed
 -- .000127368s elapsed
 -- .000137317s elapsed
 -- .00013359s elapsed
 -- .000146483s elapsed
 -- .000139842s elapsed
 -- .000142166s elapsed
 -- .000131906s elapsed
 -- .000129312s elapsed
 -- .000131936s elapsed
 -- .000131517s elapsed
 -- .000128691s 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/macaulay2-1.25.06+ds/M2/Macaulay2/packages/K3Carpets.m2:1335:0.