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)
 -- .00660336s elapsed
 -- .0215177s elapsed
(number Of blocks, 26)
 -- .000217862s elapsed
1
 -- .000136121s elapsed
1
 -- .000142272s elapsed
1
 -- .000198382s elapsed
1
 -- .00013599s elapsed
2
 -- .000166322s elapsed
 2
2
 -- .00325155s elapsed
 2
2
 -- .000181491s elapsed
 2
2 3
 -- .000180782s elapsed
 2
2 3
 -- .000155381s elapsed
 2
2 3
 -- .000162192s elapsed
 2
2
 -- .000208962s elapsed
 2
2
 -- .000143093s elapsed
2
 -- .000154761s elapsed
2
 -- .00013441s elapsed
 2
2
 -- .000166613s elapsed
 2
2
 -- .000145681s elapsed
 2
2 3
 -- .00016351s elapsed
 2
2 3
 -- .000174512s elapsed
 2
2 3
 -- .000154952s elapsed
 2
2
 -- .000166522s elapsed
 2
2
 -- .00013013s elapsed
2
 -- .000148012s elapsed
1
 -- .00013169s elapsed
1
 -- .000133753s elapsed
1
 -- .000131731s 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 /build/macaulay2-rTH2Il/macaulay2-1.26.06+ds/M2/Macaulay2/packages/K3Carpets.m2:1335:0.