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)
 -- .00718782s elapsed
 -- .00883589s elapsed
 -- .000237266s elapsed
 -- .000157548s elapsed
 -- .000130684s elapsed
 -- .000125562s elapsed
 -- .000130373s elapsed
 -- .000126259s elapsed
 -- .000182209s elapsed
 -- .000152043s elapsed
 -- .000133074s elapsed
 -- .000146334s elapsed
 -- .000250133s elapsed
 -- .000144714s elapsed
 -- .000112498s elapsed
 -- .000108716s elapsed
 -- .000119273s elapsed
 -- .000109172s elapsed
 -- .000146414s elapsed
 -- .000138773s elapsed
 -- .000135171s elapsed
 -- .000150971s elapsed
 -- .000124479s elapsed
 -- .00011762s elapsed
 -- .000108504s elapsed
 -- .000131441s elapsed
 -- .00011268s elapsed
 -- .000115479s elapsed
(number Of blocks, 26)
1
1
1
1
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
2
 2
2
 2
2
 2
2 3
 2
2 3
 2
2 3
 2
2
 2
2
2
1
1
1
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.