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)
 -- 0.00658201 seconds elapsed
 -- 0.0101085 seconds elapsed
 -- 0.000156851 seconds elapsed
 -- 0.000123721 seconds elapsed
 -- 0.000116868 seconds elapsed
 -- 0.000114349 seconds elapsed
 -- 0.000112072 seconds elapsed
 -- 0.000119937 seconds elapsed
 -- 0.000145496 seconds elapsed
 -- 0.000145295 seconds elapsed
 -- 0.000122279 seconds elapsed
 -- 0.000123749 seconds elapsed
 -- 0.000112837 seconds elapsed
 -- 0.000114663 seconds elapsed
 -- 0.000107915 seconds elapsed
 -- 0.000106878 seconds elapsed
 -- 0.00011569 seconds elapsed
 -- 0.00009553 seconds elapsed
 -- 0.000106147 seconds elapsed
 -- 0.000106916 seconds elapsed
 -- 0.000113581 seconds elapsed
 -- 0.000107234 seconds elapsed
 -- 0.000144409 seconds elapsed
 -- 0.00012491 seconds elapsed
 -- 0.000116063 seconds elapsed
 -- 0.000117871 seconds elapsed
 -- 0.000125516 seconds elapsed
 -- 0.00010792 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.