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)
 -- .00889349s elapsed
 -- .0126408s elapsed
 -- .00029641s elapsed
 -- .000199186s elapsed
 -- .000183556s elapsed
 -- .000161636s elapsed
 -- .000167245s elapsed
 -- .000170753s elapsed
 -- .000182876s elapsed
 -- .000270612s elapsed
 -- .000185551s elapsed
 -- .000182113s elapsed
 -- .000319793s elapsed
 -- .000140155s elapsed
 -- .000132711s elapsed
 -- .000148149s elapsed
 -- .000140195s elapsed
 -- .000132571s elapsed
 -- .000151497s elapsed
 -- .000154503s elapsed
 -- .000177956s elapsed
 -- .000151265s elapsed
 -- .000145184s elapsed
 -- .000141096s elapsed
 -- .000138462s elapsed
 -- .000143471s elapsed
 -- .000148431s elapsed
 -- .000148109s 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.