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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)
 -- .00800114s elapsed
 -- .0145549s elapsed
 -- .000212402s elapsed
 -- .000149431s elapsed
 -- .000148791s elapsed
 -- .000163002s elapsed
 -- .000139072s elapsed
 -- .000146712s elapsed
 -- .000173022s elapsed
 -- .000308343s elapsed
 -- .000233742s elapsed
 -- .000134671s elapsed
 -- .00012973s elapsed
 -- .000119312s elapsed
 -- .000129051s elapsed
 -- .000124122s elapsed
 -- .000126321s elapsed
 -- .000136901s elapsed
 -- .000145062s elapsed
 -- .000146712s elapsed
 -- .000166442s elapsed
 -- .000178471s elapsed
 -- .000128271s elapsed
 -- .000125762s elapsed
 -- .000121632s elapsed
 -- .000128431s elapsed
 -- .000143302s elapsed
 -- .000122081s 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.