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)
 -- .00887909s elapsed
 -- .0284632s elapsed
(number Of blocks, 26)
 -- .000252422s elapsed
1
 -- .000223345s elapsed
1
 -- .000182028s elapsed
1
 -- .000187434s elapsed
1
 -- .000182s elapsed
2
 -- .00018466s elapsed
 2
2
 -- .000192231s elapsed
 2
2
 -- .000199426s elapsed
 2
2 3
 -- .000176952s elapsed
 2
2 3
 -- .000175205s elapsed
 2
2 3
 -- .000166614s elapsed
 2
2
 -- .000170552s elapsed
 2
2
 -- .000172922s elapsed
2
 -- .000169268s elapsed
2
 -- .000181504s elapsed
 2
2
 -- .000170067s elapsed
 2
2
 -- .000186966s elapsed
 2
2 3
 -- .000187563s elapsed
 2
2 3
 -- .000209784s elapsed
 2
2 3
 -- .000194869s elapsed
 2
2
 -- .000266526s elapsed
 2
2
 -- .000167442s elapsed
2
 -- .000186657s elapsed
1
 -- .000210586s elapsed
1
 -- .000183328s elapsed
1
 -- .000171681s 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.