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)
 -- .00739679s elapsed
 -- .0138349s elapsed
(number Of blocks, 26)
 -- .000263162s elapsed
1
 -- .000212242s elapsed
1
 -- .000203562s elapsed
1
 -- .000180482s elapsed
1
 -- .000181041s elapsed
2
 -- .000183562s elapsed
 2
2
 -- .000189482s elapsed
 2
2
 -- .000199482s elapsed
 2
2 3
 -- .000187642s elapsed
 2
2 3
 -- .000183042s elapsed
 2
2 3
 -- .000172841s elapsed
 2
2
 -- .000165642s elapsed
 2
2
 -- .000162641s elapsed
2
 -- .000169362s elapsed
2
 -- .000192562s elapsed
 2
2
 -- .000163761s elapsed
 2
2
 -- .000178242s elapsed
 2
2 3
 -- .000172602s elapsed
 2
2 3
 -- .000182442s elapsed
 2
2 3
 -- .000175122s elapsed
 2
2
 -- .000202162s elapsed
 2
2
 -- .000163322s elapsed
2
 -- .000162601s elapsed
1
 -- .000170401s elapsed
1
 -- .000163282s elapsed
1
 -- .000162762s 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.