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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)
 -- .014386s elapsed
 -- .0293234s elapsed
 -- .00048126s elapsed
 -- .0004873s elapsed
 -- .00047644s elapsed
 -- .00048662s elapsed
 -- .00048445s elapsed
 -- .00037753s elapsed
 -- .00039682s elapsed
 -- .00042125s elapsed
 -- .00049618s elapsed
 -- .0003449s elapsed
 -- .00034884s elapsed
 -- .0003398s elapsed
 -- .00032797s elapsed
 -- .0003217s elapsed
 -- .00049119s elapsed
 -- .00033586s elapsed
 -- .00036441s elapsed
 -- .00035917s elapsed
 -- .00039255s elapsed
 -- .00037477s elapsed
 -- .00035351s elapsed
 -- .00034411s elapsed
 -- .00046605s elapsed
 -- .00034256s elapsed
 -- .00033653s elapsed
 -- .00033384s 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.