next | previous | forward | backward | up | top | index | toc | Macaulay2 web site
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)
     -- 0.04313 seconds elapsed
     -- 0.0206581 seconds elapsed
(number Of blocks, 26)
     -- 0.000170193 seconds elapsed
1
     -- 0.000109974 seconds elapsed
1
     -- 0.000105849 seconds elapsed
1
     -- 0.000130246 seconds elapsed
1
     -- 0.000100258 seconds elapsed
2
     -- 0.000100041 seconds elapsed
 2
2
     -- 0.00014393 seconds elapsed
 2
2
     -- 0.000139935 seconds elapsed
 2
2 3
     -- 0.000138997 seconds elapsed
 2
2 3
     -- 0.000112473 seconds elapsed
 2
2 3
     -- 0.000101661 seconds elapsed
 2
2
     -- 0.000101733 seconds elapsed
 2
2
     -- 0.000096268 seconds elapsed
2
     -- 0.000095077 seconds elapsed
2
     -- 0.000122734 seconds elapsed
 2
2
     -- 0.000098391 seconds elapsed
 2
2
     -- 0.00010783 seconds elapsed
 2
2 3
     -- 0.000140642 seconds elapsed
 2
2 3
     -- 0.000119794 seconds elapsed
 2
2 3
     -- 0.000114753 seconds elapsed
 2
2
     -- 0.000126762 seconds elapsed
 2
2
     -- 0.000093387 seconds elapsed
2
     -- 0.000087992 seconds elapsed
1
     -- 0.000090903 seconds elapsed
1
     -- 0.000093068 seconds elapsed
1
     -- 0.00012345 seconds elapsed
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :