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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)
 -- .00896797s elapsed
 -- .0126826s elapsed
 -- .000265469s elapsed
 -- .000175239s elapsed
 -- .00021304s elapsed
 -- .000163929s elapsed
 -- .000163007s elapsed
 -- .000177584s elapsed
 -- .000195808s elapsed
 -- .000289404s elapsed
 -- .000189155s elapsed
 -- .000174719s elapsed
 -- .000273855s elapsed
 -- .000145023s elapsed
 -- .000136908s elapsed
 -- .000133821s elapsed
 -- .00017554s elapsed
 -- .000133631s elapsed
 -- .000144522s elapsed
 -- .000151665s elapsed
 -- .000156996s elapsed
 -- .000180299s elapsed
 -- .000141617s elapsed
 -- .00014913s elapsed
 -- .00017585s elapsed
 -- .000137488s elapsed
 -- .00013841s elapsed
 -- .00014377s 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 K3Carpets.m2:1335:0.