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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)
 -- .00801074s elapsed
 -- .0152969s elapsed
 -- .000257221s elapsed
 -- .000244538s elapsed
 -- .000217255s elapsed
 -- .000211527s elapsed
 -- .000190972s elapsed
 -- .000204326s elapsed
 -- .000225604s elapsed
 -- .000259038s elapsed
 -- .000290361s elapsed
 -- .000212529s elapsed
 -- .000215699s elapsed
 -- .000177893s elapsed
 -- .000168273s elapsed
 -- .000161882s elapsed
 -- .000184841s elapsed
 -- .000180853s elapsed
 -- .00019275s elapsed
 -- .000193199s elapsed
 -- .000203885s elapsed
 -- .000191561s elapsed
 -- .000177614s elapsed
 -- .000166804s elapsed
 -- .000165413s elapsed
 -- .000184947s elapsed
 -- .000171563s elapsed
 -- .000167397s 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.