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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)
 -- 0.0715484 seconds elapsed
 -- 0.0238636 seconds elapsed
 -- 0.000520859 seconds elapsed
 -- 0.000506996 seconds elapsed
 -- 0.000223328 seconds elapsed
 -- 0.000122527 seconds elapsed
 -- 0.000502201 seconds elapsed
 -- 0.000402948 seconds elapsed
 -- 0.000147257 seconds elapsed
 -- 0.000481154 seconds elapsed
 -- 0.000421641 seconds elapsed
 -- 0.000128088 seconds elapsed
 -- 0.000390908 seconds elapsed
 -- 0.0001264 seconds elapsed
 -- 0.000123142 seconds elapsed
 -- 0.000385706 seconds elapsed
 -- 0.000486017 seconds elapsed
 -- 0.000433935 seconds elapsed
 -- 0.000338882 seconds elapsed
 -- 0.000417111 seconds elapsed
 -- 0.000382221 seconds elapsed
 -- 0.000364152 seconds elapsed
 -- 0.000476024 seconds elapsed
 -- 0.000379781 seconds elapsed
 -- 0.000308471 seconds elapsed
 -- 0.000377315 seconds elapsed
 -- 0.000521599 seconds elapsed
 -- 0.00012957 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.