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)
 -- .00631054s elapsed
 -- .0112923s elapsed
(number Of blocks, 26)
 -- .000175137s elapsed
1
 -- .000126062s elapsed
1
 -- .000130346s elapsed
1
 -- .000129391s elapsed
1
 -- .000122715s elapsed
2
 -- .000131064s elapsed
 2
2
 -- .0365415s elapsed
 2
2
 -- .000135745s elapsed
 2
2 3
 -- .00012432s elapsed
 2
2 3
 -- .000116274s elapsed
 2
2 3
 -- .000115106s elapsed
 2
2
 -- .0001145s elapsed
 2
2
 -- .000122386s elapsed
2
 -- .000108853s elapsed
2
 -- .000111325s elapsed
 2
2
 -- .000110746s elapsed
 2
2
 -- .000123806s elapsed
 2
2 3
 -- .000118986s elapsed
 2
2 3
 -- .000131638s elapsed
 2
2 3
 -- .000124929s elapsed
 2
2
 -- .000116597s elapsed
 2
2
 -- .000107942s elapsed
2
 -- .000112s elapsed
1
 -- .000114619s elapsed
1
 -- .000121453s elapsed
1
 -- .000112164s 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.