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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)
 -- 0.0335774 seconds elapsed
 -- 0.0214172 seconds elapsed
 -- 0.000311069 seconds elapsed
 -- 0.000204271 seconds elapsed
 -- 0.000226703 seconds elapsed
 -- 0.000188221 seconds elapsed
 -- 0.000192358 seconds elapsed
 -- 0.000210412 seconds elapsed
 -- 0.00024706 seconds elapsed
 -- 0.000238224 seconds elapsed
 -- 0.000218537 seconds elapsed
 -- 0.000236581 seconds elapsed
 -- 0.000203248 seconds elapsed
 -- 0.000191707 seconds elapsed
 -- 0.000183272 seconds elapsed
 -- 0.000199182 seconds elapsed
 -- 0.000202879 seconds elapsed
 -- 0.000257781 seconds elapsed
 -- 0.000200233 seconds elapsed
 -- 0.000198941 seconds elapsed
 -- 0.000219549 seconds elapsed
 -- 0.000206985 seconds elapsed
 -- 0.000192137 seconds elapsed
 -- 0.000180868 seconds elapsed
 -- 0.000178142 seconds elapsed
 -- 0.000183813 seconds elapsed
 -- 0.000177301 seconds elapsed
 -- 0.00017705 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.