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)

Synopsis

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)
 -- .00617196s elapsed
 -- .0114951s elapsed
 -- .000150013s elapsed
 -- .000132591s elapsed
 -- .000125917s elapsed
 -- .00012103s elapsed
 -- .000116359s elapsed
 -- .000141023s elapsed
 -- .000144836s elapsed
 -- .00014121s elapsed
 -- .000127692s elapsed
 -- .000111867s elapsed
 -- .000103111s elapsed
 -- .000104439s elapsed
 -- .000100098s elapsed
 -- .000100861s elapsed
 -- .000102688s elapsed
 -- .000100462s elapsed
 -- .000109654s elapsed
 -- .000108342s elapsed
 -- .000117079s elapsed
 -- .000109429s elapsed
 -- .000102953s elapsed
 -- .000099566s elapsed
 -- .00010045s elapsed
 -- .0001024s elapsed
 -- .000100874s elapsed
 -- .000100052s 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:

For the programmer

The object carpetDet is a method function.