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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)
 -- .00679399s elapsed
 -- .0121364s elapsed
(number Of blocks, 26)
 -- .000178435s elapsed
1
 -- .000136148s elapsed
1
 -- .000139605s elapsed
1
 -- .000138685s elapsed
1
 -- .00018425s elapsed
2
 -- .000141501s elapsed
 2
2
 -- .000150939s elapsed
 2
2
 -- .000157561s elapsed
 2
2 3
 -- .000141065s elapsed
 2
2 3
 -- .000133893s elapsed
 2
2 3
 -- .000136011s elapsed
 2
2
 -- .000129802s elapsed
 2
2
 -- .00012262s elapsed
2
 -- .000145501s elapsed
2
 -- .000126369s elapsed
 2
2
 -- .000134176s elapsed
 2
2
 -- .000157431s elapsed
 2
2 3
 -- .000133913s elapsed
 2
2 3
 -- .000137878s elapsed
 2
2 3
 -- .000130851s elapsed
 2
2
 -- .000135486s elapsed
 2
2
 -- .000125877s elapsed
2
 -- .000121613s elapsed
1
 -- .000128408s elapsed
1
 -- .000124878s elapsed
1
 -- .00011902s 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 K3Carpets.m2:1335:0.