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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)
 -- 0.0407609 seconds elapsed
 -- 0.0180343 seconds elapsed
 -- 0.000205093 seconds elapsed
 -- 0.000141509 seconds elapsed
 -- 0.000127043 seconds elapsed
 -- 0.000124308 seconds elapsed
 -- 0.000126522 seconds elapsed
 -- 0.000131884 seconds elapsed
 -- 0.000155638 seconds elapsed
 -- 0.00015656 seconds elapsed
 -- 0.000143976 seconds elapsed
 -- 0.000141488 seconds elapsed
 -- 0.000154244 seconds elapsed
 -- 0.000131985 seconds elapsed
 -- 0.000124502 seconds elapsed
 -- 0.000123037 seconds elapsed
 -- 0.000159619 seconds elapsed
 -- 0.00011863 seconds elapsed
 -- 0.00012815 seconds elapsed
 -- 0.000125128 seconds elapsed
 -- 0.000140146 seconds elapsed
 -- 0.000130628 seconds elapsed
 -- 0.000121879 seconds elapsed
 -- 0.000119047 seconds elapsed
 -- 0.000118355 seconds elapsed
 -- 0.000119084 seconds elapsed
 -- 0.000118711 seconds elapsed
 -- 0.000117489 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.