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)
 -- 0.00783336 seconds elapsed
 -- 0.0312213 seconds elapsed
 -- 0.000248208 seconds elapsed
 -- 0.000209465 seconds elapsed
 -- 0.000185695 seconds elapsed
 -- 0.000196056 seconds elapsed
 -- 0.000190946 seconds elapsed
 -- 0.000215456 seconds elapsed
 -- 0.000203053 seconds elapsed
 -- 0.000209648 seconds elapsed
 -- 0.000183032 seconds elapsed
 -- 0.000220006 seconds elapsed
 -- 0.000171737 seconds elapsed
 -- 0.00017264 seconds elapsed
 -- 0.00016929 seconds elapsed
 -- 0.000176087 seconds elapsed
 -- 0.000184099 seconds elapsed
 -- 0.000183648 seconds elapsed
 -- 0.00018374 seconds elapsed
 -- 0.000184498 seconds elapsed
 -- 0.000218227 seconds elapsed
 -- 0.00020078 seconds elapsed
 -- 0.000189424 seconds elapsed
 -- 0.000166462 seconds elapsed
 -- 0.000163705 seconds elapsed
 -- 0.00017422 seconds elapsed
 -- 0.000164042 seconds elapsed
 -- 0.000165856 seconds 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.