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)
 -- 0.0207161 seconds elapsed
 -- 0.0145683 seconds elapsed
 -- 0.000235366 seconds elapsed
 -- 0.000204575 seconds elapsed
 -- 0.000177599 seconds elapsed
 -- 0.000168751 seconds elapsed
 -- 0.000183342 seconds elapsed
 -- 0.000180231 seconds elapsed
 -- 0.000211259 seconds elapsed
 -- 0.000212256 seconds elapsed
 -- 0.000191914 seconds elapsed
 -- 0.000196765 seconds elapsed
 -- 0.000174057 seconds elapsed
 -- 0.000200846 seconds elapsed
 -- 0.000176092 seconds elapsed
 -- 0.0002271 seconds elapsed
 -- 0.000172926 seconds elapsed
 -- 0.000154492 seconds elapsed
 -- 0.00017705 seconds elapsed
 -- 0.00017044 seconds elapsed
 -- 0.000188227 seconds elapsed
 -- 0.000166798 seconds elapsed
 -- 0.000156038 seconds elapsed
 -- 0.000162454 seconds elapsed
 -- 0.000146984 seconds elapsed
 -- 0.000157664 seconds elapsed
 -- 0.000150554 seconds elapsed
 -- 0.000145292 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.