next | previous | forward | backward | up | top | index | toc | packages | 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)
 -- 0.00684942 seconds elapsed
 -- 0.0172251 seconds elapsed
 -- 0.000255282 seconds elapsed
 -- 0.000238162 seconds elapsed
 -- 0.000272803 seconds elapsed
 -- 0.000221562 seconds elapsed
 -- 0.000255042 seconds elapsed
 -- 0.000222442 seconds elapsed
 -- 0.000277362 seconds elapsed
 -- 0.000235882 seconds elapsed
 -- 0.000211841 seconds elapsed
 -- 0.000212282 seconds elapsed
 -- 0.000205801 seconds elapsed
 -- 0.000208602 seconds elapsed
 -- 0.000194242 seconds elapsed
 -- 0.000292242 seconds elapsed
 -- 0.000242522 seconds elapsed
 -- 0.000214801 seconds elapsed
 -- 0.000240122 seconds elapsed
 -- 0.000230482 seconds elapsed
 -- 0.000234922 seconds elapsed
 -- 0.000232122 seconds elapsed
 -- 0.000243322 seconds elapsed
 -- 0.000189561 seconds elapsed
 -- 0.000196881 seconds elapsed
 -- 0.000193761 seconds elapsed
 -- 0.000192041 seconds elapsed
 -- 0.000186002 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.