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)
 -- .00846948s elapsed
 -- .0374206s elapsed
(number Of blocks, 26)
 -- .000315325s elapsed
1
 -- .000243119s elapsed
1
 -- .0002507s elapsed
1
 -- .000197762s elapsed
1
 -- .000188188s elapsed
2
 -- .000180546s elapsed
 2
2
 -- .000195558s elapsed
 2
2
 -- .000198953s elapsed
 2
2 3
 -- .000185274s elapsed
 2
2 3
 -- .000181738s elapsed
 2
2 3
 -- .000172014s elapsed
 2
2
 -- .000171713s elapsed
 2
2
 -- .000157011s elapsed
2
 -- .00016226s elapsed
2
 -- .000187527s elapsed
 2
2
 -- .000165465s elapsed
 2
2
 -- .000178684s elapsed
 2
2 3
 -- .000181357s elapsed
 2
2 3
 -- .000204391s elapsed
 2
2 3
 -- .00018256s elapsed
 2
2
 -- .000172524s elapsed
 2
2
 -- .000157713s elapsed
2
 -- .000167046s elapsed
1
 -- .000171603s elapsed
1
 -- .000166015s elapsed
1
 -- .000161579s 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.