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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)
 -- 0.0181713 seconds elapsed
 -- 0.0163203 seconds elapsed
 -- 0.000232122 seconds elapsed
 -- 0.000183721 seconds elapsed
 -- 0.000168722 seconds elapsed
 -- 0.000167841 seconds elapsed
 -- 0.000157481 seconds elapsed
 -- 0.000169521 seconds elapsed
 -- 0.000180641 seconds elapsed
 -- 0.000182641 seconds elapsed
 -- 0.000175601 seconds elapsed
 -- 0.000170521 seconds elapsed
 -- 0.000166842 seconds elapsed
 -- 0.000163081 seconds elapsed
 -- 0.000153401 seconds elapsed
 -- 0.000153802 seconds elapsed
 -- 0.000158881 seconds elapsed
 -- 0.000154041 seconds elapsed
 -- 0.000161322 seconds elapsed
 -- 0.000168961 seconds elapsed
 -- 0.000186882 seconds elapsed
 -- 0.000170281 seconds elapsed
 -- 0.000157681 seconds elapsed
 -- 0.000149921 seconds elapsed
 -- 0.000154561 seconds elapsed
 -- 0.000152602 seconds elapsed
 -- 0.000193561 seconds elapsed
 -- 0.000146081 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.