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)
 -- .015014s elapsed
 -- .0152313s elapsed
 -- .000284341s elapsed
 -- .000255606s elapsed
 -- .000216833s elapsed
 -- .000237261s elapsed
 -- .000218498s elapsed
 -- .000245568s elapsed
 -- .000278053s elapsed
 -- .000270991s elapsed
 -- .0002387s elapsed
 -- .000244001s elapsed
 -- .000269824s elapsed
 -- .000204424s elapsed
 -- .000193334s elapsed
 -- .000196833s elapsed
 -- .000201881s elapsed
 -- .00020401s elapsed
 -- .000207804s elapsed
 -- .000215221s elapsed
 -- .000230327s elapsed
 -- .000226522s elapsed
 -- .000221741s elapsed
 -- .000209069s elapsed
 -- .000206779s elapsed
 -- .000203333s elapsed
 -- .00021241s elapsed
 -- .000206545s 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.