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)
 -- .00699318s elapsed
 -- .0127887s elapsed
 -- .000277039s elapsed
 -- .000117741s elapsed
 -- .000115907s elapsed
 -- .000114795s elapsed
 -- .000121308s elapsed
 -- .000114354s elapsed
 -- .000141664s elapsed
 -- .00013923s elapsed
 -- .000366667s elapsed
 -- .000142797s elapsed
 -- .00011241s elapsed
 -- .000114795s elapsed
 -- .00962083s elapsed
 -- .000109265s elapsed
 -- .000119513s elapsed
 -- .000112411s elapsed
 -- .00012258s elapsed
 -- .000119865s elapsed
 -- .000146695s elapsed
 -- .000130014s elapsed
 -- .000324948s elapsed
 -- .000118602s elapsed
 -- .000121948s elapsed
 -- .000121818s elapsed
 -- .000132037s elapsed
 -- .00011746s 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.