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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)
 -- .00631474s elapsed
 -- .0125312s elapsed
(number Of blocks, 26)
 -- .000299471s elapsed
1
 -- .000146984s elapsed
1
 -- .00012821s elapsed
1
 -- .000124793s elapsed
1
 -- .000129423s elapsed
2
 -- .000136796s elapsed
 2
2
 -- .000137637s elapsed
 2
2
 -- .000148369s elapsed
 2
2 3
 -- .000144691s elapsed
 2
2 3
 -- .000132719s elapsed
 2
2 3
 -- .000125866s elapsed
 2
2
 -- .000132297s elapsed
 2
2
 -- .000140242s elapsed
2
 -- .000122429s elapsed
2
 -- .000133088s elapsed
 2
2
 -- .000120466s elapsed
 2
2
 -- .000136004s elapsed
 2
2 3
 -- .000131376s elapsed
 2
2 3
 -- .000208069s elapsed
 2
2 3
 -- .000140834s elapsed
 2
2
 -- .000134101s elapsed
 2
2
 -- .000126856s elapsed
2
 -- .000129172s elapsed
1
 -- .000130714s elapsed
1
 -- .000156823s elapsed
1
 -- .000123991s 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 /build/reproducible-path/macaulay2-1.26.06+ds/M2/Macaulay2/packages/K3Carpets.m2:1335:0.