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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)
 -- .00986609s elapsed
 -- .018341s elapsed
(number Of blocks, 26)
 -- .000335737s elapsed
1
 -- .000189318s elapsed
1
 -- .000192667s elapsed
1
 -- .000180234s elapsed
1
 -- .00023409s elapsed
2
 -- .000209904s elapsed
 2
2
 -- .000190972s elapsed
 2
2
 -- .000205594s elapsed
 2
2 3
 -- .000259835s elapsed
 2
2 3
 -- .000190732s elapsed
 2
2 3
 -- .000170499s elapsed
 2
2
 -- .000178385s elapsed
 2
2
 -- .000167877s elapsed
2
 -- .000230763s elapsed
2
 -- .000184795s elapsed
 2
2
 -- .00017555s elapsed
 2
2
 -- .000195511s elapsed
 2
2 3
 -- .000256869s elapsed
 2
2 3
 -- .000293094s elapsed
 2
2 3
 -- .000292754s elapsed
 2
2
 -- .000229681s elapsed
 2
2
 -- .000222809s elapsed
2
 -- .00017971s elapsed
1
 -- .000179003s elapsed
1
 -- .00018479s elapsed
1
 -- .000236313s 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.