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)
     -- 0.0100894 seconds elapsed
     -- 0.0125662 seconds elapsed
(number Of blocks, 26)
     -- 0.000156929 seconds elapsed
1
     -- 0.000101867 seconds elapsed
1
     -- 0.000104818 seconds elapsed
1
     -- 0.000095705 seconds elapsed
1
     -- 0.000094578 seconds elapsed
2
     -- 0.000110238 seconds elapsed
 2
2
     -- 0.000115504 seconds elapsed
 2
2
     -- 0.000122876 seconds elapsed
 2
2 3
     -- 0.000113618 seconds elapsed
 2
2 3
     -- 0.000109371 seconds elapsed
 2
2 3
     -- 0.000105686 seconds elapsed
 2
2
     -- 0.000105055 seconds elapsed
 2
2
     -- 0.000096795 seconds elapsed
2
     -- 0.000099685 seconds elapsed
2
     -- 0.00010665 seconds elapsed
 2
2
     -- 0.000110075 seconds elapsed
 2
2
     -- 0.000130533 seconds elapsed
 2
2 3
     -- 0.000122765 seconds elapsed
 2
2 3
     -- 0.000132645 seconds elapsed
 2
2 3
     -- 0.000117992 seconds elapsed
 2
2
     -- 0.000141232 seconds elapsed
 2
2
     -- 0.000097391 seconds elapsed
2
     -- 0.000101691 seconds elapsed
1
     -- 0.000107947 seconds elapsed
1
     -- 0.000100913 seconds elapsed
1
     -- 0.000098083 seconds elapsed
1

o2 = 3131031158784
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet :