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)
 -- 0.005551 seconds elapsed
 -- 0.0137867 seconds elapsed
 -- 0.000168539 seconds elapsed
 -- 0.00011674 seconds elapsed
 -- 0.00011842 seconds elapsed
 -- 0.00012762 seconds elapsed
 -- 0.0001123 seconds elapsed
 -- 0.00012243 seconds elapsed
 -- 0.00012737 seconds elapsed
 -- 0.000138031 seconds elapsed
 -- 0.0001223 seconds elapsed
 -- 0.0001192 seconds elapsed
 -- 0.000112849 seconds elapsed
 -- 0.00012022 seconds elapsed
 -- 0.000110269 seconds elapsed
 -- 0.00011366 seconds elapsed
 -- 0.000119191 seconds elapsed
 -- 0.00011667 seconds elapsed
 -- 0.00012835 seconds elapsed
 -- 0.00012492 seconds elapsed
 -- 0.00014544 seconds elapsed
 -- 0.00012829 seconds elapsed
 -- 0.00011454 seconds elapsed
 -- 0.00011652 seconds elapsed
 -- 0.000115319 seconds elapsed
 -- 0.00011146 seconds elapsed
 -- 0.00014955 seconds elapsed
 -- 0.000107889 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.