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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)
 -- .0103434s elapsed
 -- .0133568s elapsed
 -- .000229862s elapsed
 -- .000154461s elapsed
 -- .000161491s elapsed
 -- .000160871s elapsed
 -- .00016205s elapsed
 -- .000187701s elapsed
 -- .000201891s elapsed
 -- .000204793s elapsed
 -- .000216191s elapsed
 -- .00013652s elapsed
 -- .000175432s elapsed
 -- .000130951s elapsed
 -- .000149071s elapsed
 -- .000122341s elapsed
 -- .000126872s elapsed
 -- .000121231s elapsed
 -- .000136s elapsed
 -- .000144061s elapsed
 -- .00020559s elapsed
 -- .000182091s elapsed
 -- .000144201s elapsed
 -- .000164101s elapsed
 -- .000151141s elapsed
 -- .000151431s elapsed
 -- .000153241s elapsed
 -- .000209721s 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.