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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)
 -- .00567181s elapsed
 -- .0200761s elapsed
 -- .000488354s elapsed
 -- .000151284s elapsed
 -- .000120165s elapsed
 -- .000111449s elapsed
 -- .000110798s elapsed
 -- .000110958s elapsed
 -- .00014408s elapsed
 -- .000138059s elapsed
 -- .000302887s elapsed
 -- .000117379s elapsed
 -- .000115486s elapsed
 -- .000116547s elapsed
 -- .000109534s elapsed
 -- .000105016s elapsed
 -- .000113091s elapsed
 -- .000120815s elapsed
 -- .000125494s elapsed
 -- .00012809s elapsed
 -- .000148297s elapsed
 -- .000134191s elapsed
 -- .00013296s elapsed
 -- .000118943s elapsed
 -- .000124542s elapsed
 -- .000132478s elapsed
 -- .000131937s elapsed
 -- .000113623s 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.