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)
 -- 0.0300077 seconds elapsed
 -- 0.0127638 seconds elapsed
 -- 0.000192343 seconds elapsed
 -- 0.000202712 seconds elapsed
 -- 0.000187414 seconds elapsed
 -- 0.000168238 seconds elapsed
 -- 0.000183186 seconds elapsed
 -- 0.000156946 seconds elapsed
 -- 0.000229414 seconds elapsed
 -- 0.000153069 seconds elapsed
 -- 0.000136547 seconds elapsed
 -- 0.000137239 seconds elapsed
 -- 0.000141497 seconds elapsed
 -- 0.000118353 seconds elapsed
 -- 0.000119697 seconds elapsed
 -- 0.000146005 seconds elapsed
 -- 0.000118373 seconds elapsed
 -- 0.000108274 seconds elapsed
 -- 0.000120758 seconds elapsed
 -- 0.000126288 seconds elapsed
 -- 0.00012767 seconds elapsed
 -- 0.000120117 seconds elapsed
 -- 0.000113764 seconds elapsed
 -- 0.000104757 seconds elapsed
 -- 0.000108024 seconds elapsed
 -- 0.000118334 seconds elapsed
 -- 0.00012152 seconds elapsed
 -- 0.000107833 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.