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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)
 -- .0102661s elapsed
 -- .0135386s elapsed
 -- .000210559s elapsed
 -- .000154869s elapsed
 -- .0001539s elapsed
 -- .00017361s elapsed
 -- .00014997s elapsed
 -- .000161689s elapsed
 -- .00018445s elapsed
 -- .000179108s elapsed
 -- .00022195s elapsed
 -- .00326994s elapsed
 -- .000167219s elapsed
 -- .00019065s elapsed
 -- .000128879s elapsed
 -- .00016997s elapsed
 -- .000135939s elapsed
 -- .00012569s elapsed
 -- .00014156s elapsed
 -- .00013358s elapsed
 -- .00016966s elapsed
 -- .000145079s elapsed
 -- .000149399s elapsed
 -- .000124059s elapsed
 -- .00012024s elapsed
 -- .00012619s elapsed
 -- .000121551s elapsed
 -- .00013636s 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.