next | previous | forward | backward | up | top | index | toc | packages | Macaulay2 website
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)
 -- 0.0056165 seconds elapsed
 -- 0.0129312 seconds elapsed
 -- 0.000166833 seconds elapsed
 -- 0.000158977 seconds elapsed
 -- 0.00013853 seconds elapsed
 -- 0.000127133 seconds elapsed
 -- 0.000131291 seconds elapsed
 -- 0.000148558 seconds elapsed
 -- 0.000160588 seconds elapsed
 -- 0.000157195 seconds elapsed
 -- 0.000145055 seconds elapsed
 -- 0.000146089 seconds elapsed
 -- 0.000140097 seconds elapsed
 -- 0.000135145 seconds elapsed
 -- 0.000124937 seconds elapsed
 -- 0.000115803 seconds elapsed
 -- 0.000134074 seconds elapsed
 -- 0.000124336 seconds elapsed
 -- 0.000149264 seconds elapsed
 -- 0.000147635 seconds elapsed
 -- 0.000150168 seconds elapsed
 -- 0.000129127 seconds elapsed
 -- 0.000121807 seconds elapsed
 -- 0.000112734 seconds elapsed
 -- 0.000128754 seconds elapsed
 -- 0.000126836 seconds elapsed
 -- 0.000116684 seconds elapsed
 -- 0.000111542 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.