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)
 -- 0.0290876 seconds elapsed
 -- 0.0125787 seconds elapsed
 -- 0.000205137 seconds elapsed
 -- 0.000165032 seconds elapsed
 -- 0.000117021 seconds elapsed
 -- 0.000115838 seconds elapsed
 -- 0.000140103 seconds elapsed
 -- 0.000123643 seconds elapsed
 -- 0.00016964 seconds elapsed
 -- 0.000159241 seconds elapsed
 -- 0.000150153 seconds elapsed
 -- 0.000130727 seconds elapsed
 -- 0.000121759 seconds elapsed
 -- 0.000128533 seconds elapsed
 -- 0.000120938 seconds elapsed
 -- 0.00020647 seconds elapsed
 -- 0.000122511 seconds elapsed
 -- 0.000111791 seconds elapsed
 -- 0.000130526 seconds elapsed
 -- 0.000125686 seconds elapsed
 -- 0.000130176 seconds elapsed
 -- 0.000132098 seconds elapsed
 -- 0.000110699 seconds elapsed
 -- 0.000105549 seconds elapsed
 -- 0.000106511 seconds elapsed
 -- 0.000109838 seconds elapsed
 -- 0.000123794 seconds elapsed
 -- 0.000103977 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.