Macaulay2 » Documentation
Packages » K3Carpets :: carpetDet
next | previous | forward | backward | up | index | toc

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)
 -- 0.00759536 seconds elapsed
 -- 0.0463332 seconds elapsed
 -- 0.000212391 seconds elapsed
 -- 0.000147509 seconds elapsed
 -- 0.000125517 seconds elapsed
 -- 0.00014805 seconds elapsed
 -- 0.000132591 seconds elapsed
 -- 0.000171986 seconds elapsed
 -- 0.000161105 seconds elapsed
 -- 0.000167727 seconds elapsed
 -- 0.000150163 seconds elapsed
 -- 0.000154632 seconds elapsed
 -- 0.000127882 seconds elapsed
 -- 0.000150093 seconds elapsed
 -- 0.000141538 seconds elapsed
 -- 0.000131278 seconds elapsed
 -- 0.000157046 seconds elapsed
 -- 0.000132279 seconds elapsed
 -- 0.000139895 seconds elapsed
 -- 0.000140115 seconds elapsed
 -- 0.000164791 seconds elapsed
 -- 0.000142068 seconds elapsed
 -- 0.000132411 seconds elapsed
 -- 0.000120949 seconds elapsed
 -- 0.000129264 seconds elapsed
 -- 0.000132791 seconds elapsed
 -- 0.000165242 seconds elapsed
 -- 0.00012202 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.