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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)
 -- .00581537s elapsed
 -- .0100381s elapsed
 -- .000175447s elapsed
 -- .000162514s elapsed
 -- .000140112s elapsed
 -- .000140794s elapsed
 -- .000154494s elapsed
 -- .000151731s elapsed
 -- .000165982s elapsed
 -- .000224725s elapsed
 -- .000189756s elapsed
 -- .000140223s elapsed
 -- .000113993s elapsed
 -- .000111208s elapsed
 -- .000110756s elapsed
 -- .000108735s elapsed
 -- .000121317s elapsed
 -- .000108497s elapsed
 -- .000117947s elapsed
 -- .00012682s elapsed
 -- .000138079s elapsed
 -- .000129663s elapsed
 -- .000172855s elapsed
 -- .000165303s elapsed
 -- .000178565s elapsed
 -- .000167727s elapsed
 -- .000132802s elapsed
 -- .000119014s 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.