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)
 -- 0.00620604 seconds elapsed
 -- 0.0147305 seconds elapsed
 -- 0.000223899 seconds elapsed
 -- 0.000137928 seconds elapsed
 -- 0.000140453 seconds elapsed
 -- 0.000129763 seconds elapsed
 -- 0.000145372 seconds elapsed
 -- 0.000135465 seconds elapsed
 -- 0.000155891 seconds elapsed
 -- 0.000167383 seconds elapsed
 -- 0.000150632 seconds elapsed
 -- 0.000145643 seconds elapsed
 -- 0.000141125 seconds elapsed
 -- 0.000134112 seconds elapsed
 -- 0.00013929 seconds elapsed
 -- 0.000140122 seconds elapsed
 -- 0.000134993 seconds elapsed
 -- 0.000135674 seconds elapsed
 -- 0.000145463 seconds elapsed
 -- 0.000147897 seconds elapsed
 -- 0.000164949 seconds elapsed
 -- 0.000157865 seconds elapsed
 -- 0.000139341 seconds elapsed
 -- 0.000134653 seconds elapsed
 -- 0.000138199 seconds elapsed
 -- 0.000146365 seconds elapsed
 -- 0.000143749 seconds elapsed
 -- 0.000142317 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.