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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)
 -- .00814966s elapsed
 -- .0156916s elapsed
 -- .00031404s elapsed
 -- .000290241s elapsed
 -- .000298761s elapsed
 -- .00027304s elapsed
 -- .000287401s elapsed
 -- .00027348s elapsed
 -- .00031256s elapsed
 -- .000332121s elapsed
 -- .00029752s elapsed
 -- .00027176s elapsed
 -- .00024124s elapsed
 -- .000232161s elapsed
 -- .00021392s elapsed
 -- .000232081s elapsed
 -- .0002602s elapsed
 -- .000234401s elapsed
 -- .000276961s elapsed
 -- .000257921s elapsed
 -- .000272721s elapsed
 -- .000288441s elapsed
 -- .00024816s elapsed
 -- .000245481s elapsed
 -- .000238121s elapsed
 -- .000242601s elapsed
 -- .000285001s elapsed
 -- .00025384s 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.