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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)
 -- .00624077s elapsed
 -- .0119871s elapsed
 -- .00021348s elapsed
 -- .000121337s elapsed
 -- .000109455s elapsed
 -- .000109155s elapsed
 -- .000397654s elapsed
 -- .000118983s elapsed
 -- .00013869s elapsed
 -- .000188713s elapsed
 -- .000252742s elapsed
 -- .000112421s elapsed
 -- .000106981s elapsed
 -- .000107882s elapsed
 -- .000103203s elapsed
 -- .000103805s elapsed
 -- .000354464s elapsed
 -- .000125074s elapsed
 -- .000136386s elapsed
 -- .000154329s elapsed
 -- .000185316s elapsed
 -- .000137919s elapsed
 -- .000132247s elapsed
 -- .000121147s elapsed
 -- .000127729s elapsed
 -- .000131527s elapsed
 -- .00013886s elapsed
 -- .000116829s 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.