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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)
 -- .0075262s elapsed
 -- .0144353s elapsed
(number Of blocks, 26)
 -- .000316685s elapsed
1
 -- .000272284s elapsed
1
 -- .000302965s elapsed
1
 -- .000250284s elapsed
1
 -- .000244724s elapsed
2
 -- .000253284s elapsed
 2
2
 -- .000285725s elapsed
 2
2
 -- .000268604s elapsed
 2
2 3
 -- .000292285s elapsed
 2
2 3
 -- .000258844s elapsed
 2
2 3
 -- .000255564s elapsed
 2
2
 -- .000264604s elapsed
 2
2
 -- .000272324s elapsed
2
 -- .000252723s elapsed
2
 -- .000252963s elapsed
 2
2
 -- .000238524s elapsed
 2
2
 -- .000294885s elapsed
 2
2 3
 -- .000251644s elapsed
 2
2 3
 -- .000314285s elapsed
 2
2 3
 -- .000286965s elapsed
 2
2
 -- .000252804s elapsed
 2
2
 -- .000289045s elapsed
2
 -- .000255844s elapsed
1
 -- .000251444s elapsed
1
 -- .000282565s elapsed
1
 -- .000260884s 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.