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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)
 -- .00637381s elapsed
 -- .0135049s elapsed
(number Of blocks, 26)
 -- .000262632s elapsed
1
 -- .000135434s elapsed
1
 -- .000132077s elapsed
1
 -- .000128019s elapsed
1
 -- .000121678s elapsed
2
 -- .000134642s elapsed
 2
2
 -- .000152445s elapsed
 2
2
 -- .000154819s elapsed
 2
2 3
 -- .000141416s elapsed
 2
2 3
 -- .000136085s elapsed
 2
2 3
 -- .000119313s elapsed
 2
2
 -- .00012342s elapsed
 2
2
 -- .000116026s elapsed
2
 -- .000125524s elapsed
2
 -- .0001234s elapsed
 2
2
 -- .000141925s elapsed
 2
2
 -- .000129952s elapsed
 2
2 3
 -- .000136284s elapsed
 2
2 3
 -- .000145873s elapsed
 2
2 3
 -- .000128762s elapsed
 2
2
 -- .000120827s elapsed
 2
2
 -- .000117068s elapsed
2
 -- .000112751s elapsed
1
 -- .000122889s elapsed
1
 -- .000127569s elapsed
1
 -- .00011205s 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/macaulay2-1.25.11+ds/M2/Macaulay2/packages/K3Carpets.m2:1335:0.