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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)
 -- 0.00585702 seconds elapsed
 -- 0.0138504 seconds elapsed
 -- 0.000312527 seconds elapsed
 -- 0.000142878 seconds elapsed
 -- 0.000120376 seconds elapsed
 -- 0.000126597 seconds elapsed
 -- 0.0001171 seconds elapsed
 -- 0.000114435 seconds elapsed
 -- 0.000153429 seconds elapsed
 -- 0.000161995 seconds elapsed
 -- 0.000142909 seconds elapsed
 -- 0.000142689 seconds elapsed
 -- 0.000119955 seconds elapsed
 -- 0.000126819 seconds elapsed
 -- 0.000124383 seconds elapsed
 -- 0.000135404 seconds elapsed
 -- 0.00012731 seconds elapsed
 -- 0.000130715 seconds elapsed
 -- 0.000147668 seconds elapsed
 -- 0.00014867 seconds elapsed
 -- 0.00015907 seconds elapsed
 -- 0.000142838 seconds elapsed
 -- 0.000144191 seconds elapsed
 -- 0.000124214 seconds elapsed
 -- 0.000151855 seconds elapsed
 -- 0.000139032 seconds elapsed
 -- 0.000128411 seconds elapsed
 -- 0.000128631 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.