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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)
 -- .00850657s elapsed
 -- .0152927s elapsed
(number Of blocks, 26)
 -- .000260796s elapsed
1
 -- .000228499s elapsed
1
 -- .000199535s elapsed
1
 -- .000169682s elapsed
1
 -- .000157163s elapsed
2
 -- .000174219s elapsed
 2
2
 -- .000184002s elapsed
 2
2
 -- .000191704s elapsed
 2
2 3
 -- .00018212s elapsed
 2
2 3
 -- .000169721s elapsed
 2
2 3
 -- .000167268s elapsed
 2
2
 -- .000179716s elapsed
 2
2
 -- .000164213s elapsed
2
 -- .00016198s elapsed
2
 -- .000184263s elapsed
 2
2
 -- .000157353s elapsed
 2
2
 -- .000179506s elapsed
 2
2 3
 -- .000174649s elapsed
 2
2 3
 -- .00018194s elapsed
 2
2 3
 -- .000185064s elapsed
 2
2
 -- .000169721s elapsed
 2
2
 -- .000164654s elapsed
2
 -- .000156952s elapsed
1
 -- .000162081s elapsed
1
 -- .000163752s elapsed
1
 -- .000180137s 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.