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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)
 -- 0.0202931 seconds elapsed
 -- 0.0139748 seconds elapsed
 -- 0.000174912 seconds elapsed
 -- 0.000118052 seconds elapsed
 -- 0.000119382 seconds elapsed
 -- 0.000108181 seconds elapsed
 -- 0.000118051 seconds elapsed
 -- 0.000134181 seconds elapsed
 -- 0.000167992 seconds elapsed
 -- 0.000199943 seconds elapsed
 -- 0.000128512 seconds elapsed
 -- 0.000140891 seconds elapsed
 -- 0.000121041 seconds elapsed
 -- 0.000119252 seconds elapsed
 -- 0.000113301 seconds elapsed
 -- 0.000121491 seconds elapsed
 -- 0.000179842 seconds elapsed
 -- 0.000114921 seconds elapsed
 -- 0.000122582 seconds elapsed
 -- 0.000127062 seconds elapsed
 -- 0.000132871 seconds elapsed
 -- 0.000125371 seconds elapsed
 -- 0.000110451 seconds elapsed
 -- 0.000105601 seconds elapsed
 -- 0.000103992 seconds elapsed
 -- 0.000111842 seconds elapsed
 -- 0.000111412 seconds elapsed
 -- 0.000106491 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.