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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)
 -- .0101176s elapsed
 -- .0116285s elapsed
 -- .000216134s elapsed
 -- .000153096s elapsed
 -- .000141074s elapsed
 -- .000123921s elapsed
 -- .000118071s elapsed
 -- .000128821s elapsed
 -- .000157856s elapsed
 -- .000166241s elapsed
 -- .000127779s elapsed
 -- .000254857s elapsed
 -- .000361836s elapsed
 -- .000138399s elapsed
 -- .000125264s elapsed
 -- .000129231s elapsed
 -- .000131136s elapsed
 -- .000126676s elapsed
 -- .000142547s elapsed
 -- .000149289s elapsed
 -- .000153267s elapsed
 -- .000141706s elapsed
 -- .000150192s elapsed
 -- .000135765s elapsed
 -- .00012249s elapsed
 -- .000137346s elapsed
 -- .000136325s elapsed
 -- .000133169s 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.