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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)
 -- .00821639s elapsed
 -- .0153702s elapsed
 -- .000321523s elapsed
 -- .000319283s elapsed
 -- .000295443s elapsed
 -- .000246322s elapsed
 -- .000275323s elapsed
 -- .000268482s elapsed
 -- .000300322s elapsed
 -- .000295043s elapsed
 -- .000321563s elapsed
 -- .000267043s elapsed
 -- .000237202s elapsed
 -- .000246522s elapsed
 -- .000240842s elapsed
 -- .000258282s elapsed
 -- .000251203s elapsed
 -- .000215042s elapsed
 -- .000218602s elapsed
 -- .000231722s elapsed
 -- .000239722s elapsed
 -- .000235202s elapsed
 -- .000204121s elapsed
 -- .000199921s elapsed
 -- .000185481s elapsed
 -- .000197921s elapsed
 -- .000210282s elapsed
 -- .000181241s 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.