next | previous | forward | backward | up | top | index | toc | 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)
 -- 0.0119328 seconds elapsed
 -- 0.0229889 seconds elapsed
 -- 0.000368971 seconds elapsed
 -- 0.000306847 seconds elapsed
 -- 0.000267547 seconds elapsed
 -- 0.000264947 seconds elapsed
 -- 0.000257922 seconds elapsed
 -- 0.000287971 seconds elapsed
 -- 0.000307222 seconds elapsed
 -- 0.000318821 seconds elapsed
 -- 0.000285897 seconds elapsed
 -- 0.000284797 seconds elapsed
 -- 0.000276947 seconds elapsed
 -- 0.000270922 seconds elapsed
 -- 0.000255697 seconds elapsed
 -- 0.000268747 seconds elapsed
 -- 0.000279897 seconds elapsed
 -- 0.000305447 seconds elapsed
 -- 0.000313222 seconds elapsed
 -- 0.000311446 seconds elapsed
 -- 0.000332796 seconds elapsed
 -- 0.000323647 seconds elapsed
 -- 0.000272122 seconds elapsed
 -- 0.000255272 seconds elapsed
 -- 0.000251872 seconds elapsed
 -- 0.000267997 seconds elapsed
 -- 0.000267272 seconds elapsed
 -- 0.000259122 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.