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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)
 -- .0124075s elapsed
 -- .0125698s elapsed
 -- .000256283s elapsed
 -- .000214642s elapsed
 -- .000215042s elapsed
 -- .000196962s elapsed
 -- .000193482s elapsed
 -- .000201201s elapsed
 -- .000232682s elapsed
 -- .000228322s elapsed
 -- .000214402s elapsed
 -- .000210282s elapsed
 -- .000229442s elapsed
 -- .000174841s elapsed
 -- .000171401s elapsed
 -- .000185722s elapsed
 -- .000172202s elapsed
 -- .000164002s elapsed
 -- .000177281s elapsed
 -- .000177842s elapsed
 -- .000189642s elapsed
 -- .000185962s elapsed
 -- .000178442s elapsed
 -- .000172922s elapsed
 -- .000172962s elapsed
 -- .000173562s elapsed
 -- .000171962s elapsed
 -- .000170521s 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.