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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)
 -- .00711017s elapsed
 -- .0134972s elapsed
(number Of blocks, 26)
 -- .000268804s elapsed
1
 -- .000252523s elapsed
1
 -- .000210762s elapsed
1
 -- .000203243s elapsed
1
 -- .000203003s elapsed
2
 -- .000241203s elapsed
 2
2
 -- .0177691s elapsed
 2
2
 -- .000222003s elapsed
 2
2 3
 -- .000205803s elapsed
 2
2 3
 -- .000196283s elapsed
 2
2 3
 -- .000192002s elapsed
 2
2
 -- .000226563s elapsed
 2
2
 -- .000211243s elapsed
2
 -- .000176522s elapsed
2
 -- .000189442s elapsed
 2
2
 -- .000184563s elapsed
 2
2
 -- .000202402s elapsed
 2
2 3
 -- .000225323s elapsed
 2
2 3
 -- .000213243s elapsed
 2
2 3
 -- .000215043s elapsed
 2
2
 -- .000219603s elapsed
 2
2
 -- .000182682s elapsed
2
 -- .000180322s elapsed
1
 -- .000190123s elapsed
1
 -- .000183003s elapsed
1
 -- .000185082s 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.