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carpetDet -- compute the determinant of the crucial constant strand of a carpet X(a,b)

Synopsis

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)
 -- .00591354s elapsed
 -- .00934532s elapsed
 -- .000168124s elapsed
 -- .00013929s elapsed
 -- .000125374s elapsed
 -- .000122157s elapsed
 -- .000119505s elapsed
 -- .00012289s elapsed
 -- .000134843s elapsed
 -- .00014475s elapsed
 -- .000186637s elapsed
 -- .000112819s elapsed
 -- .000103564s elapsed
 -- .000103215s elapsed
 -- .000094774s elapsed
 -- .000092467s elapsed
 -- .000131179s elapsed
 -- .000111152s elapsed
 -- .0001097s elapsed
 -- .000109724s elapsed
 -- .000118947s elapsed
 -- .000106179s elapsed
 -- .000100363s elapsed
 -- .000092784s elapsed
 -- .000096032s elapsed
 -- .000096595s elapsed
 -- .000097227s elapsed
 -- .000090616s 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:

For the programmer

The object carpetDet is a method function.