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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)
 -- .00614726s elapsed
 -- .0112504s elapsed
 -- .000197718s elapsed
 -- .00019435s elapsed
 -- .000158838s elapsed
 -- .000144756s elapsed
 -- .000140653s elapsed
 -- .00014561s elapsed
 -- .000166106s elapsed
 -- .000185241s elapsed
 -- .000219897s elapsed
 -- .000153049s elapsed
 -- .000142021s elapsed
 -- .000136083s elapsed
 -- .000149543s elapsed
 -- .000123278s elapsed
 -- .000130376s elapsed
 -- .00012256s elapsed
 -- .00013751s elapsed
 -- .000133611s elapsed
 -- .000156886s elapsed
 -- .000132328s elapsed
 -- .000129013s elapsed
 -- .000145333s elapsed
 -- .000122553s elapsed
 -- .000122794s elapsed
 -- .000123078s elapsed
 -- .000121296s 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.