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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)
 -- .021793s elapsed
 -- .0133426s elapsed
 -- .00032586s elapsed
 -- .000154809s elapsed
 -- .000166932s elapsed
 -- .000145442s elapsed
 -- .000128662s elapsed
 -- .000137216s elapsed
 -- .000156162s elapsed
 -- .000159858s elapsed
 -- .000148939s elapsed
 -- .000135843s elapsed
 -- .000369321s elapsed
 -- .000133739s elapsed
 -- .000127108s elapsed
 -- .000126978s elapsed
 -- .000128862s elapsed
 -- .00012837s elapsed
 -- .000135653s elapsed
 -- .000138488s elapsed
 -- .000152166s elapsed
 -- .000143819s elapsed
 -- .000134421s elapsed
 -- .000137228s elapsed
 -- .000130003s elapsed
 -- .000131526s elapsed
 -- .000135725s elapsed
 -- .000139251s 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.