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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)
 -- .00618944s elapsed
 -- .00986252s elapsed
 -- .000193547s elapsed
 -- .000140614s elapsed
 -- .000115413s elapsed
 -- .000141986s elapsed
 -- .000110916s elapsed
 -- .000122844s elapsed
 -- .000160986s elapsed
 -- .000164947s elapsed
 -- .000227532s elapsed
 -- .000123748s elapsed
 -- .000106606s elapsed
 -- .000105743s elapsed
 -- .000098413s elapsed
 -- .00009715s elapsed
 -- .000103229s elapsed
 -- .000097544s elapsed
 -- .00011391s elapsed
 -- .000117199s elapsed
 -- .00012187s elapsed
 -- .00011338s elapsed
 -- .000110915s elapsed
 -- .000102775s elapsed
 -- .000104434s elapsed
 -- .000117564s elapsed
 -- .000111811s elapsed
 -- .000101806s 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.