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)

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)
 -- .00619816s elapsed
 -- .012371s elapsed
(number Of blocks, 26)
 -- .000193775s elapsed
1
 -- .000140825s elapsed
1
 -- .000140773s elapsed
1
 -- .000136452s elapsed
1
 -- .000133283s elapsed
2
 -- .000145016s elapsed
 2
2
 -- .000165116s elapsed
 2
2
 -- .000164839s elapsed
 2
2 3
 -- .000168104s elapsed
 2
2 3
 -- .000137889s elapsed
 2
2 3
 -- .000129112s elapsed
 2
2
 -- .000125592s elapsed
 2
2
 -- .000125559s elapsed
2
 -- .000124946s elapsed
2
 -- .000126995s elapsed
 2
2
 -- .000126411s elapsed
 2
2
 -- .000188766s elapsed
 2
2 3
 -- .000200495s elapsed
 2
2 3
 -- .000156564s elapsed
 2
2 3
 -- .000189004s elapsed
 2
2
 -- .000184623s elapsed
 2
2
 -- .000169296s elapsed
2
 -- .000169745s elapsed
1
 -- .000184361s elapsed
1
 -- .000131479s elapsed
1
 -- .000129277s elapsed
1

o2 = 3131031158784
 
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet:

  • carpetDet(ZZ,ZZ)

For the programmer

The object carpetDet is a method function.

The source of this document is in K3Carpets.m2:1335:0.