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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)
 -- .00850609s elapsed
 -- .0152522s elapsed
(number Of blocks, 26)
 -- .000279453s elapsed
1
 -- .000197028s elapsed
1
 -- .000180903s elapsed
1
 -- .000208235s elapsed
1
 -- .000179692s elapsed
2
 -- .000189867s elapsed
 2
2
 -- .0446634s elapsed
 2
2
 -- .000256798s elapsed
 2
2 3
 -- .000177057s elapsed
 2
2 3
 -- .000165841s elapsed
 2
2 3
 -- .000156166s elapsed
 2
2
 -- .000152661s elapsed
 2
2
 -- .000157258s elapsed
2
 -- .000148645s elapsed
2
 -- .000155636s elapsed
 2
2
 -- .000164579s elapsed
 2
2
 -- .000172s elapsed
 2
2 3
 -- .000177409s elapsed
 2
2 3
 -- .000188325s elapsed
 2
2 3
 -- .000183838s elapsed
 2
2
 -- .000165049s elapsed
 2
2
 -- .000156096s elapsed
2
 -- .000163978s elapsed
1
 -- .000148634s elapsed
1
 -- .000159632s elapsed
1
 -- .000157158s 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.