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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)
 -- .00843036s elapsed
 -- .0164479s elapsed
(number Of blocks, 26)
 -- .000272789s elapsed
1
 -- .000216614s elapsed
1
 -- .000204672s elapsed
1
 -- .000217475s elapsed
1
 -- .000198951s elapsed
2
 -- .000242021s elapsed
 2
2
 -- .0645407s elapsed
 2
2
 -- .000217405s elapsed
 2
2 3
 -- .000178894s elapsed
 2
2 3
 -- .000202868s elapsed
 2
2 3
 -- .000195274s elapsed
 2
2
 -- .000203049s elapsed
 2
2
 -- .000181488s elapsed
2
 -- .000180837s elapsed
2
 -- .00019285s elapsed
 2
2
 -- .00017677s elapsed
 2
2
 -- .000187159s elapsed
 2
2 3
 -- .000237102s elapsed
 2
2 3
 -- .000205533s elapsed
 2
2 3
 -- .000208159s elapsed
 2
2
 -- .000215531s elapsed
 2
2
 -- .000171369s elapsed
2
 -- .000170408s elapsed
1
 -- .000177821s elapsed
1
 -- .000185886s elapsed
1
 -- .000191567s 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 /__w/M2/M2/macaulay2-1.26.05+ds/M2/Macaulay2/packages/K3Carpets.m2:1335:0.