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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)
 -- .00713702s elapsed
 -- .0124504s elapsed
 -- .000265992s elapsed
 -- .000193786s elapsed
 -- .000168958s elapsed
 -- .000167105s elapsed
 -- .00014374s elapsed
 -- .000149381s elapsed
 -- .000169559s elapsed
 -- .000188095s elapsed
 -- .000207741s elapsed
 -- .000125807s elapsed
 -- .000119375s elapsed
 -- .000119906s elapsed
 -- .00011654s elapsed
 -- .000130085s elapsed
 -- .000119676s elapsed
 -- .000114896s elapsed
 -- .000125347s elapsed
 -- .000129323s elapsed
 -- .000134914s elapsed
 -- .000125697s elapsed
 -- .000137328s elapsed
 -- .000123002s elapsed
 -- .000120287s elapsed
 -- .000119185s elapsed
 -- .000124875s elapsed
 -- .000117481s 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.