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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)
 -- 0.00941426 seconds elapsed
 -- 0.0194022 seconds elapsed
 -- 0.000213025 seconds elapsed
 -- 0.000157737 seconds elapsed
 -- 0.000140356 seconds elapsed
 -- 0.000126637 seconds elapsed
 -- 0.000144194 seconds elapsed
 -- 0.000162637 seconds elapsed
 -- 0.000167748 seconds elapsed
 -- 0.000160698 seconds elapsed
 -- 0.000156815 seconds elapsed
 -- 0.00014709 seconds elapsed
 -- 0.000132485 seconds elapsed
 -- 0.000150432 seconds elapsed
 -- 0.000144286 seconds elapsed
 -- 0.000128422 seconds elapsed
 -- 0.000160092 seconds elapsed
 -- 0.000127406 seconds elapsed
 -- 0.000155455 seconds elapsed
 -- 0.000148158 seconds elapsed
 -- 0.000162178 seconds elapsed
 -- 0.000155274 seconds elapsed
 -- 0.000137067 seconds elapsed
 -- 0.000139538 seconds elapsed
 -- 0.000126672 seconds elapsed
 -- 0.000146289 seconds elapsed
 -- 0.000127051 seconds elapsed
 -- 0.000136602 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.