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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)
 -- 0.0103571 seconds elapsed
 -- 0.0516234 seconds elapsed
 -- 0.000274752 seconds elapsed
 -- 0.000210153 seconds elapsed
 -- 0.000205334 seconds elapsed
 -- 0.000191438 seconds elapsed
 -- 0.000220001 seconds elapsed
 -- 0.000193872 seconds elapsed
 -- 0.000272469 seconds elapsed
 -- 0.000252992 seconds elapsed
 -- 0.000219892 seconds elapsed
 -- 0.000236632 seconds elapsed
 -- 0.000194333 seconds elapsed
 -- 0.000222345 seconds elapsed
 -- 0.000188753 seconds elapsed
 -- 0.000206917 seconds elapsed
 -- 0.000224741 seconds elapsed
 -- 0.000199724 seconds elapsed
 -- 0.000260647 seconds elapsed
 -- 0.000238946 seconds elapsed
 -- 0.000228476 seconds elapsed
 -- 0.000239958 seconds elapsed
 -- 0.000250368 seconds elapsed
 -- 0.000184185 seconds elapsed
 -- 0.00020339 seconds elapsed
 -- 0.000202958 seconds elapsed
 -- 0.0002411 seconds elapsed
 -- 0.000184174 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.