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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)
 -- .00623243s elapsed
 -- .0127612s elapsed
 -- .000248687s elapsed
 -- .000130064s elapsed
 -- .000119193s elapsed
 -- .000108442s elapsed
 -- .0108918s elapsed
 -- .000118722s elapsed
 -- .000149911s elapsed
 -- .000146445s elapsed
 -- .000517208s elapsed
 -- .00028837s elapsed
 -- .000212358s elapsed
 -- .000211255s elapsed
 -- .000204001s elapsed
 -- .000198432s elapsed
 -- .000211255s elapsed
 -- .000197219s elapsed
 -- .000216796s elapsed
 -- .00023461s elapsed
 -- .000245559s elapsed
 -- .000229289s elapsed
 -- .000211957s elapsed
 -- .000204973s elapsed
 -- .000202599s elapsed
 -- .000204262s elapsed
 -- .000206115s elapsed
 -- .000205935s 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.