Macaulay2 » Documentation
Packages » K3Carpets :: carpetDet
next | previous | forward | backward | up | index | toc

carpetDet -- compute the determinant of the crucial constant strand of a carpet X(a,b)

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)
 -- .00642708s elapsed
 -- .0130074s elapsed
(number Of blocks, 26)
 -- .000159744s elapsed
1
 -- .000146326s elapsed
1
 -- .000143719s elapsed
1
 -- .000152274s elapsed
1
 -- .000140871s elapsed
2
 -- .000151644s elapsed
 2
2
 -- .000173753s elapsed
 2
2
 -- .000170121s elapsed
 2
2 3
 -- .000156373s elapsed
 2
2 3
 -- .000145462s elapsed
 2
2 3
 -- .000140208s elapsed
 2
2
 -- .000142137s elapsed
 2
2
 -- .000139197s elapsed
2
 -- .000139506s elapsed
2
 -- .000140898s elapsed
 2
2
 -- .000139027s elapsed
 2
2
 -- .000152634s elapsed
 2
2 3
 -- .000150077s elapsed
 2
2 3
 -- .000160493s elapsed
 2
2 3
 -- .000153387s elapsed
 2
2
 -- .00014622s elapsed
 2
2
 -- .000136603s elapsed
2
 -- .000137433s elapsed
1
 -- .00013944s elapsed
1
 -- .000140571s elapsed
1
 -- .000135789s elapsed
1

o2 = 3131031158784
 
i3 : factor d

      32 6
o3 = 2  3

o3 : Expression of class Product

See also

Ways to use carpetDet:

  • carpetDet(ZZ,ZZ)

For the programmer

The object carpetDet is a method function.

The source of this document is in K3Carpets.m2:1335:0.