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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)
 -- .0110836s elapsed
 -- .0130465s elapsed
 -- .000207909s elapsed
 -- .000156219s elapsed
 -- .000159388s elapsed
 -- .000152109s elapsed
 -- .000165068s elapsed
 -- .000196829s elapsed
 -- .000161928s elapsed
 -- .00019041s elapsed
 -- .000230278s elapsed
 -- .000130569s elapsed
 -- .000126811s elapsed
 -- .000132409s elapsed
 -- .000120419s elapsed
 -- .000128449s elapsed
 -- .00012893s elapsed
 -- .000121999s elapsed
 -- .000149509s elapsed
 -- .000135659s elapsed
 -- .000151249s elapsed
 -- .000136949s elapsed
 -- .000132509s elapsed
 -- .000139359s elapsed
 -- .000128659s elapsed
 -- .000167489s elapsed
 -- .000143639s elapsed
 -- .000127159s 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.