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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)
 -- .00559005s elapsed
 -- .00867198s elapsed
 -- .000184112s elapsed
 -- .000132367s elapsed
 -- .000131041s elapsed
 -- .000109691s elapsed
 -- .000117195s elapsed
 -- .000114414s elapsed
 -- .000120985s elapsed
 -- .000162519s elapsed
 -- .000218548s elapsed
 -- .000121227s elapsed
 -- .000106664s elapsed
 -- .000102105s elapsed
 -- .000106756s elapsed
 -- .000098532s elapsed
 -- .000088911s elapsed
 -- .000081942s elapsed
 -- .000101977s elapsed
 -- .000100468s elapsed
 -- .000101866s elapsed
 -- .000095819s elapsed
 -- .00011441s elapsed
 -- .00008736s elapsed
 -- .000085496s elapsed
 -- .00008683s elapsed
 -- .000089225s elapsed
 -- .000080809s 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.