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K3Carpets :: carpetDet

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)
 -- 0.0119826 seconds elapsed
 -- 0.0252992 seconds elapsed
 -- 0.000348463 seconds elapsed
 -- 0.000273729 seconds elapsed
 -- 0.000286606 seconds elapsed
 -- 0.000273759 seconds elapsed
 -- 0.000270704 seconds elapsed
 -- 0.000284906 seconds elapsed
 -- 0.000309648 seconds elapsed
 -- 0.000341852 seconds elapsed
 -- 0.000292056 seconds elapsed
 -- 0.000269563 seconds elapsed
 -- 0.000265643 seconds elapsed
 -- 0.000287845 seconds elapsed
 -- 0.000304643 seconds elapsed
 -- 0.000271554 seconds elapsed
 -- 0.000289256 seconds elapsed
 -- 0.000265698 seconds elapsed
 -- 0.000296231 seconds elapsed
 -- 0.000304023 seconds elapsed
 -- 0.000321589 seconds elapsed
 -- 0.000293061 seconds elapsed
 -- 0.000293482 seconds elapsed
 -- 0.000273689 seconds elapsed
 -- 0.000252202 seconds elapsed
 -- 0.000259223 seconds elapsed
 -- 0.000269979 seconds elapsed
 -- 0.000266948 seconds 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.