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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)
 -- 0.0283532 seconds elapsed
 -- 0.0144334 seconds elapsed
 -- 0.000280425 seconds elapsed
 -- 0.000126828 seconds elapsed
 -- 0.000122028 seconds elapsed
 -- 0.000129212 seconds elapsed
 -- 0.000123421 seconds elapsed
 -- 0.000129312 seconds elapsed
 -- 0.000163356 seconds elapsed
 -- 0.000156463 seconds elapsed
 -- 0.000126467 seconds elapsed
 -- 0.000124363 seconds elapsed
 -- 0.000112682 seconds elapsed
 -- 0.000119985 seconds elapsed
 -- 0.000114014 seconds elapsed
 -- 0.000115095 seconds elapsed
 -- 0.000146785 seconds elapsed
 -- 0.000146454 seconds elapsed
 -- 0.000158607 seconds elapsed
 -- 0.00015475 seconds elapsed
 -- 0.000143828 seconds elapsed
 -- 0.000130063 seconds elapsed
 -- 0.000118893 seconds elapsed
 -- 0.000116637 seconds elapsed
 -- 0.000114755 seconds elapsed
 -- 0.000112831 seconds elapsed
 -- 0.000113293 seconds elapsed
 -- 0.000107171 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.