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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)
 -- .0110881s elapsed
 -- .0119839s elapsed
(number Of blocks, 26)
 -- .000199087s elapsed
1
 -- .000155141s elapsed
1
 -- .000146811s elapsed
1
 -- .000142566s elapsed
1
 -- .000140935s elapsed
2
 -- .000151007s elapsed
 2
2
 -- .000162249s elapsed
 2
2
 -- .000173143s elapsed
 2
2 3
 -- .000153344s elapsed
 2
2 3
 -- .000150652s elapsed
 2
2 3
 -- .000143289s elapsed
 2
2
 -- .000147426s elapsed
 2
2
 -- .00013678s elapsed
2
 -- .000134565s elapsed
2
 -- .000140362s elapsed
 2
2
 -- .000139859s elapsed
 2
2
 -- .000157726s elapsed
 2
2 3
 -- .000157484s elapsed
 2
2 3
 -- .000156961s elapsed
 2
2 3
 -- .000159381s elapsed
 2
2
 -- .000146822s elapsed
 2
2
 -- .000139421s elapsed
2
 -- .000140817s elapsed
1
 -- .00014215s elapsed
1
 -- .000137298s elapsed
1
 -- .000133938s 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.