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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)
 -- .0102537s elapsed
 -- .0132337s elapsed
 -- .000428872s elapsed
 -- .000189582s elapsed
 -- .000178341s elapsed
 -- .000169271s elapsed
 -- .00016161s elapsed
 -- .000290361s elapsed
 -- .000196331s elapsed
 -- .000235762s elapsed
 -- .000225861s elapsed
 -- .000139711s elapsed
 -- .000133361s elapsed
 -- .00013626s elapsed
 -- .000146152s elapsed
 -- .00011926s elapsed
 -- .000140131s elapsed
 -- .000142501s elapsed
 -- .000128371s elapsed
 -- .000136341s elapsed
 -- .000148701s elapsed
 -- .000141391s elapsed
 -- .00012756s elapsed
 -- .000118172s elapsed
 -- .00013081s elapsed
 -- .000123381s elapsed
 -- .000136121s elapsed
 -- .000134931s 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.