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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)
 -- 0.00605724 seconds elapsed
 -- 0.0235335 seconds elapsed
 -- 0.000171014 seconds elapsed
 -- 0.000136836 seconds elapsed
 -- 0.000128776 seconds elapsed
 -- 0.00012526 seconds elapsed
 -- 0.000125921 seconds elapsed
 -- 0.000156398 seconds elapsed
 -- 0.000142307 seconds elapsed
 -- 0.000148309 seconds elapsed
 -- 0.000139631 seconds elapsed
 -- 0.000151605 seconds elapsed
 -- 0.000124369 seconds elapsed
 -- 0.000124591 seconds elapsed
 -- 0.0001183 seconds elapsed
 -- 0.000119375 seconds elapsed
 -- 0.000128793 seconds elapsed
 -- 0.000120384 seconds elapsed
 -- 0.000158345 seconds elapsed
 -- 0.000134269 seconds elapsed
 -- 0.000142393 seconds elapsed
 -- 0.000147343 seconds elapsed
 -- 0.000122968 seconds elapsed
 -- 0.000124186 seconds elapsed
 -- 0.000120371 seconds elapsed
 -- 0.000127752 seconds elapsed
 -- 0.000142493 seconds elapsed
 -- 0.000123809 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.