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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)
 -- 0.00624838 seconds elapsed
 -- 0.0641759 seconds elapsed
 -- 0.00023509 seconds elapsed
 -- 0.000101941 seconds elapsed
 -- 0.000105738 seconds elapsed
 -- 0.00010685 seconds elapsed
 -- 0.000109756 seconds elapsed
 -- 0.0115689 seconds elapsed
 -- 0.000146204 seconds elapsed
 -- 0.000132187 seconds elapsed
 -- 0.000163046 seconds elapsed
 -- 0.000122499 seconds elapsed
 -- 0.000131295 seconds elapsed
 -- 0.000104436 seconds elapsed
 -- 0.000095438 seconds elapsed
 -- 0.00010104 seconds elapsed
 -- 0.000236493 seconds elapsed
 -- 0.000263553 seconds elapsed
 -- 0.000154518 seconds elapsed
 -- 0.00014979 seconds elapsed
 -- 0.000185226 seconds elapsed
 -- 0.000157695 seconds elapsed
 -- 0.000129403 seconds elapsed
 -- 0.000129983 seconds elapsed
 -- 0.000097984 seconds elapsed
 -- 0.000104246 seconds elapsed
 -- 0.000110868 seconds elapsed
 -- 0.000101119 seconds 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.