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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)
 -- .00916366s elapsed
 -- .0125135s elapsed
 -- .000201711s elapsed
 -- .00015641s elapsed
 -- .000176651s elapsed
 -- .00015223s elapsed
 -- .000170871s elapsed
 -- .00019925s elapsed
 -- .000184761s elapsed
 -- .000216861s elapsed
 -- .000244641s elapsed
 -- .000156901s elapsed
 -- .00013714s elapsed
 -- .000119672s elapsed
 -- .00011871s elapsed
 -- .000125401s elapsed
 -- .000118251s elapsed
 -- .000114871s elapsed
 -- .000133581s elapsed
 -- .00013407s elapsed
 -- .000160281s elapsed
 -- .000142871s elapsed
 -- .0001393s elapsed
 -- .000133651s elapsed
 -- .000166531s elapsed
 -- .00014214s elapsed
 -- .000162821s elapsed
 -- .00012326s 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.