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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)
 -- 0.00921357 seconds elapsed
 -- 0.0287964 seconds elapsed
 -- 0.000286441 seconds elapsed
 -- 0.000255 seconds elapsed
 -- 0.00022922 seconds elapsed
 -- 0.000229548 seconds elapsed
 -- 0.000228642 seconds elapsed
 -- 0.000274974 seconds elapsed
 -- 0.000280796 seconds elapsed
 -- 0.000289476 seconds elapsed
 -- 0.000263725 seconds elapsed
 -- 0.000243542 seconds elapsed
 -- 0.000224083 seconds elapsed
 -- 0.000240976 seconds elapsed
 -- 0.00020719 seconds elapsed
 -- 0.000226049 seconds elapsed
 -- 0.000258928 seconds elapsed
 -- 0.000223163 seconds elapsed
 -- 0.00024994 seconds elapsed
 -- 0.000269084 seconds elapsed
 -- 0.000259494 seconds elapsed
 -- 0.000247079 seconds elapsed
 -- 0.000222115 seconds elapsed
 -- 0.000215613 seconds elapsed
 -- 0.000216759 seconds elapsed
 -- 0.000236292 seconds elapsed
 -- 0.000225134 seconds elapsed
 -- 0.000379584 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.