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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)
 -- .0072116s elapsed
 -- .0124725s elapsed
 -- .000279581s elapsed
 -- .000162743s elapsed
 -- .000172752s elapsed
 -- .000159477s elapsed
 -- .000154447s elapsed
 -- .000167673s elapsed
 -- .000165628s elapsed
 -- .000162534s elapsed
 -- .000151212s elapsed
 -- .00014413s elapsed
 -- .000314207s elapsed
 -- .000133048s elapsed
 -- .000127809s elapsed
 -- .000126134s elapsed
 -- .000128179s elapsed
 -- .000128149s elapsed
 -- .0001348s elapsed
 -- .000135331s elapsed
 -- .000146654s elapsed
 -- .000152525s elapsed
 -- .000137827s elapsed
 -- .000130984s elapsed
 -- .000133198s elapsed
 -- .000131865s elapsed
 -- .000132877s elapsed
 -- .000132728s 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.