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)
 -- .00836079s elapsed
 -- .0165782s elapsed
(number Of blocks, 26)
 -- .000288629s elapsed
1
 -- .000215522s elapsed
1
 -- .000195605s elapsed
1
 -- .000205193s elapsed
1
 -- .000190676s elapsed
2
 -- .000203179s elapsed
 2
2
 -- .000221032s elapsed
 2
2
 -- .00025762s elapsed
 2
2 3
 -- .00018794s elapsed
 2
2 3
 -- .000184795s elapsed
 2
2 3
 -- .000175798s elapsed
 2
2
 -- .000178302s elapsed
 2
2
 -- .000170628s elapsed
2
 -- .000177101s elapsed
2
 -- .000180857s elapsed
 2
2
 -- .000162874s elapsed
 2
2
 -- .000217375s elapsed
 2
2 3
 -- .000183533s elapsed
 2
2 3
 -- .000206214s elapsed
 2
2 3
 -- .000197989s elapsed
 2
2
 -- .000204531s elapsed
 2
2
 -- .000201616s elapsed
2
 -- .000191467s elapsed
1
 -- .000212165s elapsed
1
 -- .000205343s elapsed
1
 -- .000165799s 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.