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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)
 -- 0.0222835 seconds elapsed
 -- 0.014693 seconds elapsed
 -- 0.000171682 seconds elapsed
 -- 0.000121893 seconds elapsed
 -- 0.000117203 seconds elapsed
 -- 0.000114172 seconds elapsed
 -- 0.000117042 seconds elapsed
 -- 0.000113772 seconds elapsed
 -- 0.000136442 seconds elapsed
 -- 0.000135473 seconds elapsed
 -- 0.000122332 seconds elapsed
 -- 0.000118362 seconds elapsed
 -- 0.00010889 seconds elapsed
 -- 0.000155852 seconds elapsed
 -- 0.000108961 seconds elapsed
 -- 0.000141241 seconds elapsed
 -- 0.000121682 seconds elapsed
 -- 0.000112681 seconds elapsed
 -- 0.000123831 seconds elapsed
 -- 0.000123062 seconds elapsed
 -- 0.000133152 seconds elapsed
 -- 0.000125261 seconds elapsed
 -- 0.000114041 seconds elapsed
 -- 0.000115491 seconds elapsed
 -- 0.000107512 seconds elapsed
 -- 0.000109521 seconds elapsed
 -- 0.000150482 seconds elapsed
 -- 0.000131021 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.