next | previous | forward | backward | up | top | index | toc | Macaulay2 website
K3Carpets :: carpetDet

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)
 -- 0.0214742 seconds elapsed
 -- 0.0111586 seconds elapsed
 -- 0.000194963 seconds elapsed
 -- 0.000111961 seconds elapsed
 -- 0.000108251 seconds elapsed
 -- 0.000112813 seconds elapsed
 -- 0.000112552 seconds elapsed
 -- 0.000128522 seconds elapsed
 -- 0.000125382 seconds elapsed
 -- 0.000136633 seconds elapsed
 -- 0.000115591 seconds elapsed
 -- 0.000120902 seconds elapsed
 -- 0.000117832 seconds elapsed
 -- 0.00011323 seconds elapsed
 -- 0.000108241 seconds elapsed
 -- 0.000104521 seconds elapsed
 -- 0.000117031 seconds elapsed
 -- 0.000145612 seconds elapsed
 -- 0.000129342 seconds elapsed
 -- 0.000107771 seconds elapsed
 -- 0.000117631 seconds elapsed
 -- 0.000114701 seconds elapsed
 -- 0.000102962 seconds elapsed
 -- 0.000102581 seconds elapsed
 -- 0.000110081 seconds elapsed
 -- 0.000110191 seconds elapsed
 -- 0.000112801 seconds elapsed
 -- 0.000105512 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.