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)
 -- 0.00704824 seconds elapsed
 -- 0.0205298 seconds elapsed
 -- 0.000177919 seconds elapsed
 -- 0.000141484 seconds elapsed
 -- 0.000135389 seconds elapsed
 -- 0.000127625 seconds elapsed
 -- 0.000122093 seconds elapsed
 -- 0.000136326 seconds elapsed
 -- 0.000156714 seconds elapsed
 -- 0.000168328 seconds elapsed
 -- 0.000147415 seconds elapsed
 -- 0.000140646 seconds elapsed
 -- 0.000159954 seconds elapsed
 -- 0.000147679 seconds elapsed
 -- 0.000123902 seconds elapsed
 -- 0.000136806 seconds elapsed
 -- 0.000141578 seconds elapsed
 -- 0.000148434 seconds elapsed
 -- 0.000159831 seconds elapsed
 -- 0.000144723 seconds elapsed
 -- 0.000146896 seconds elapsed
 -- 0.000157121 seconds elapsed
 -- 0.000149509 seconds elapsed
 -- 0.00012479 seconds elapsed
 -- 0.000121752 seconds elapsed
 -- 0.000125284 seconds elapsed
 -- 0.000126463 seconds elapsed
 -- 0.000188491 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.