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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)
 -- 0.0361687 seconds elapsed
 -- 0.0149076 seconds elapsed
 -- 0.000289792 seconds elapsed
 -- 0.000129402 seconds elapsed
 -- 0.000126647 seconds elapsed
 -- 0.000120566 seconds elapsed
 -- 0.000113282 seconds elapsed
 -- 0.000127879 seconds elapsed
 -- 0.000155332 seconds elapsed
 -- 0.000170139 seconds elapsed
 -- 0.000124683 seconds elapsed
 -- 0.000126707 seconds elapsed
 -- 0.00011727 seconds elapsed
 -- 0.000135954 seconds elapsed
 -- 0.000120615 seconds elapsed
 -- 0.000121357 seconds elapsed
 -- 0.000128209 seconds elapsed
 -- 0.000123882 seconds elapsed
 -- 0.000132978 seconds elapsed
 -- 0.000140853 seconds elapsed
 -- 0.000136915 seconds elapsed
 -- 0.000123251 seconds elapsed
 -- 0.000121788 seconds elapsed
 -- 0.000115355 seconds elapsed
 -- 0.000115816 seconds elapsed
 -- 0.000107751 seconds elapsed
 -- 0.000109876 seconds elapsed
 -- 0.000107961 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.