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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)
 -- .00866879s elapsed
 -- .015431s elapsed
(number Of blocks, 26)
 -- .000281163s elapsed
1
 -- .000233441s elapsed
1
 -- .00019941s elapsed
1
 -- .000162614s elapsed
1
 -- .000153391s elapsed
2
 -- .000163075s elapsed
 2
2
 -- .000181834s elapsed
 2
2
 -- .00019886s elapsed
 2
2 3
 -- .000177928s elapsed
 2
2 3
 -- .000170997s elapsed
 2
2 3
 -- .000170307s elapsed
 2
2
 -- .000193221s elapsed
 2
2
 -- .00015223s elapsed
2
 -- .000158879s elapsed
2
 -- .000165018s elapsed
 2
2
 -- .000158469s elapsed
 2
2
 -- .000178619s elapsed
 2
2 3
 -- .000184768s elapsed
 2
2 3
 -- .000206181s elapsed
 2
2 3
 -- .000193502s elapsed
 2
2
 -- .00016596s elapsed
 2
2
 -- .000147202s elapsed
2
 -- .000154703s elapsed
1
 -- .000162524s elapsed
1
 -- .000191909s elapsed
1
 -- .000154724s 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 /__w/M2/M2/macaulay2-1.26.06+ds/M2/Macaulay2/packages/K3Carpets.m2:1335:0.