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)
 -- 0.0339199 seconds elapsed
 -- 0.0133985 seconds elapsed
 -- 0.000221287 seconds elapsed
 -- 0.000140795 seconds elapsed
 -- 0.000117732 seconds elapsed
 -- 0.00011159 seconds elapsed
 -- 0.000109497 seconds elapsed
 -- 0.000130275 seconds elapsed
 -- 0.000149322 seconds elapsed
 -- 0.000148309 seconds elapsed
 -- 0.000122741 seconds elapsed
 -- 0.000119516 seconds elapsed
 -- 0.000133983 seconds elapsed
 -- 0.000115318 seconds elapsed
 -- 0.000117371 seconds elapsed
 -- 0.000113684 seconds elapsed
 -- 0.000120547 seconds elapsed
 -- 0.00011153 seconds elapsed
 -- 0.00012213 seconds elapsed
 -- 0.000118463 seconds elapsed
 -- 0.000144053 seconds elapsed
 -- 0.000120537 seconds elapsed
 -- 0.000114546 seconds elapsed
 -- 0.000106281 seconds elapsed
 -- 0.000106661 seconds elapsed
 -- 0.000109386 seconds elapsed
 -- 0.000126899 seconds elapsed
 -- 0.000104918 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.