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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)
 -- .125832s elapsed
 -- .148552s elapsed
 -- .000584664s elapsed
 -- .00049497s elapsed
 -- .00048909s elapsed
 -- .0004799s elapsed
 -- .000467671s elapsed
 -- .000584784s elapsed
 -- .000559175s elapsed
 -- .0247062s elapsed
 -- .000516218s elapsed
 -- .00049854s elapsed
 -- .000465652s elapsed
 -- .000476341s elapsed
 -- .00048383s elapsed
 -- .000453472s elapsed
 -- .000517848s elapsed
 -- .0166759s elapsed
 -- .00049151s elapsed
 -- .000557236s elapsed
 -- .000511859s elapsed
 -- .00049378s elapsed
 -- .00859486s elapsed
 -- .000487051s elapsed
 -- .00049602s elapsed
 -- .000531117s elapsed
 -- .00864536s elapsed
 -- .000509819s 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.